TSTP Solution File: NUM423+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:44:18 EDT 2022
% Result : Theorem 18.79s 6.37s
% Output : Proof 21.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM423+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n019.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 : Tue Jul 5 11:55:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.51/0.58 ____ _
% 0.51/0.59 ___ / __ \_____(_)___ ________ __________
% 0.51/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.59
% 0.51/0.59 A Theorem Prover for First-Order Logic
% 0.51/0.59 (ePrincess v.1.0)
% 0.51/0.59
% 0.51/0.59 (c) Philipp Rümmer, 2009-2015
% 0.51/0.59 (c) Peter Backeman, 2014-2015
% 0.51/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.59 Bug reports to peter@backeman.se
% 0.51/0.59
% 0.51/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.59
% 0.51/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.61/0.98 Prover 0: Preprocessing ...
% 2.58/1.29 Prover 0: Constructing countermodel ...
% 16.73/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 16.86/5.97 Prover 1: Preprocessing ...
% 17.40/6.09 Prover 1: Constructing countermodel ...
% 17.40/6.15 Prover 1: gave up
% 17.40/6.15 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 17.90/6.18 Prover 2: Preprocessing ...
% 18.33/6.27 Prover 2: Warning: ignoring some quantifiers
% 18.33/6.27 Prover 2: Constructing countermodel ...
% 18.79/6.37 Prover 2: proved (224ms)
% 18.79/6.37 Prover 0: stopped
% 18.79/6.37
% 18.79/6.37 No countermodel exists, formula is valid
% 18.79/6.37 % SZS status Theorem for theBenchmark
% 18.79/6.37
% 18.79/6.37 Generating proof ... Warning: ignoring some quantifiers
% 21.45/6.95 found it (size 118)
% 21.45/6.95
% 21.45/6.95 % SZS output start Proof for theBenchmark
% 21.45/6.95 Assumed formulas after preprocessing and simplification:
% 21.45/6.95 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (xq = sz00) & sdteqdtlpzmzozddtrp0(xa, xa, xq) = v1 & smndt0(sz10) = v0 & aInteger0(xq) = 0 & aInteger0(xa) = 0 & aInteger0(sz10) = 0 & aInteger0(sz00) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v4 = sz00 | ~ (aDivisorOf0(v4, v6) = v7) | ~ (sdtpldt0(v2, v5) = v6) | ~ (smndt0(v3) = v5) | ? [v8] : (( ~ (v8 = 0) & aInteger0(v4) = v8) | ( ~ (v8 = 0) & aInteger0(v3) = v8) | ( ~ (v8 = 0) & aInteger0(v2) = v8) | (( ~ (v7 = 0) | (v8 = 0 & sdteqdtlpzmzozddtrp0(v2, v3, v4) = 0)) & (v7 = 0 | ( ~ (v8 = 0) & sdteqdtlpzmzozddtrp0(v2, v3, v4) = v8))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v3, v4) = v6) | ~ (sdtasdt0(v2, v4) = v5) | ~ (sdtpldt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v7 & v11 = v9 & sdtasdt0(v12, v4) = v7 & sdtasdt0(v2, v8) = v9 & sdtasdt0(v2, v3) = v10 & sdtpldt0(v10, v5) = v9 & sdtpldt0(v3, v4) = v8 & sdtpldt0(v2, v3) = v12) | ( ~ (v8 = 0) & aInteger0(v4) = v8) | ( ~ (v8 = 0) & aInteger0(v3) = v8) | ( ~ (v8 = 0) & aInteger0(v2) = v8))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v2, v4) = v6) | ~ (sdtasdt0(v2, v3) = v5) | ~ (sdtpldt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v11 & v9 = v7 & sdtasdt0(v10, v4) = v11 & sdtasdt0(v3, v4) = v12 & sdtasdt0(v2, v8) = v7 & sdtpldt0(v6, v12) = v11 & sdtpldt0(v3, v4) = v8 & sdtpldt0(v2, v3) = v10) | ( ~ (v8 = 0) & aInteger0(v4) = v8) | ( ~ (v8 = 0) & aInteger0(v3) = v8) | ( ~ (v8 = 0) & aInteger0(v2) = v8))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (sdteqdtlpzmzozddtrp0(v6, v5, v4) = v3) | ~ (sdteqdtlpzmzozddtrp0(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasdt0(v5, v4) = v6) | ~ (sdtasdt0(v2, v3) = v5) | ? [v7] : ? [v8] : ((v8 = v6 & sdtasdt0(v3, v4) = v7 & sdtasdt0(v2, v7) = v6) | ( ~ (v7 = 0) & aInteger0(v4) = v7) | ( ~ (v7 = 0) & aInteger0(v3) = v7) | ( ~ (v7 = 0) & aInteger0(v2) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasdt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v6 & v11 = v8 & sdtasdt0(v3, v4) = v12 & sdtasdt0(v2, v7) = v8 & sdtasdt0(v2, v4) = v10 & sdtasdt0(v2, v3) = v9 & sdtpldt0(v10, v12) = v6 & sdtpldt0(v9, v10) = v8 & sdtpldt0(v3, v4) = v7) | ( ~ (v7 = 0) & aInteger0(v4) = v7) | ( ~ (v7 = 0) & aInteger0(v3) = v7) | ( ~ (v7 = 0) & aInteger0(v2) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasdt0(v3, v4) = v5) | ~ (sdtasdt0(v2, v5) = v6) | ? [v7] : ? [v8] : ((v8 = v6 & sdtasdt0(v7, v4) = v6 & sdtasdt0(v2, v3) = v7) | ( ~ (v7 = 0) & aInteger0(v4) = v7) | ( ~ (v7 = 0) & aInteger0(v3) = v7) | ( ~ (v7 = 0) & aInteger0(v2) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasdt0(v2, v5) = v6) | ~ (sdtpldt0(v3, v4) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v11 & v9 = v6 & sdtasdt0(v10, v4) = v11 & sdtasdt0(v3, v4) = v12 & sdtasdt0(v2, v4) = v8 & sdtasdt0(v2, v3) = v7 & sdtpldt0(v8, v12) = v11 & sdtpldt0(v7, v8) = v6 & sdtpldt0(v2, v3) = v10) | ( ~ (v7 = 0) & aInteger0(v4) = v7) | ( ~ (v7 = 0) & aInteger0(v3) = v7) | ( ~ (v7 = 0) & aInteger0(v2) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ? [v7] : ? [v8] : ((v8 = v6 & sdtpldt0(v3, v4) = v7 & sdtpldt0(v2, v7) = v6) | ( ~ (v7 = 0) & aInteger0(v4) = v7) | ( ~ (v7 = 0) & aInteger0(v3) = v7) | ( ~ (v7 = 0) & aInteger0(v2) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtpldt0(v3, v4) = v5) | ~ (sdtpldt0(v2, v5) = v6) | ? [v7] : ? [v8] : ((v8 = v6 & sdtpldt0(v7, v4) = v6 & sdtpldt0(v2, v3) = v7) | ( ~ (v7 = 0) & aInteger0(v4) = v7) | ( ~ (v7 = 0) & aInteger0(v3) = v7) | ( ~ (v7 = 0) & aInteger0(v2) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = sz00 | ~ (sdteqdtlpzmzozddtrp0(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (( ~ (v6 = 0) & aInteger0(v4) = v6) | ( ~ (v6 = 0) & aInteger0(v3) = v6) | ( ~ (v6 = 0) & aInteger0(v2) = v6) | (( ~ (v5 = 0) | (v8 = 0 & aDivisorOf0(v4, v7) = 0 & sdtpldt0(v2, v6) = v7 & smndt0(v3) = v6)) & (v5 = 0 | ( ~ (v8 = 0) & aDivisorOf0(v4, v7) = v8 & sdtpldt0(v2, v6) = v7 & smndt0(v3) = v6))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | v3 = sz00 | ~ (aDivisorOf0(v3, v2) = v4) | ~ (sdtasdt0(v3, v5) = v2) | ~ (aInteger0(v2) = 0) | ? [v6] : (( ~ (v6 = 0) & aInteger0(v5) = v6) | ( ~ (v6 = 0) & aInteger0(v3) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | v3 = sz00 | ~ (aDivisorOf0(v3, v2) = v4) | ~ (aInteger0(v5) = 0) | ~ (aInteger0(v2) = 0) | ? [v6] : (( ~ (v6 = v2) & sdtasdt0(v3, v5) = v6) | ( ~ (v6 = 0) & aInteger0(v3) = v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (aDivisorOf0(v5, v4) = v3) | ~ (aDivisorOf0(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (sdtasdt0(v5, v4) = v3) | ~ (sdtasdt0(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (sdtpldt0(v5, v4) = v3) | ~ (sdtpldt0(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aInteger0(v3) = v4) | ~ (aInteger0(v2) = 0) | ? [v5] : ( ~ (v5 = 0) & aDivisorOf0(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (smndt0(v4) = v3) | ~ (smndt0(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (aInteger0(v4) = v3) | ~ (aInteger0(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = sz00 | ~ (sdtasdt0(v3, v4) = v2) | ~ (aInteger0(v3) = 0) | ~ (aInteger0(v2) = 0) | ? [v5] : ((v5 = 0 & aDivisorOf0(v3, v2) = 0) | ( ~ (v5 = 0) & aInteger0(v4) = v5))) & ! [v2] : ! [v3] : ! [v4] : (v3 = sz00 | ~ (aInteger0(v4) = 0) | ~ (aInteger0(v3) = 0) | ~ (aInteger0(v2) = 0) | ? [v5] : ((v5 = 0 & aDivisorOf0(v3, v2) = 0) | ( ~ (v5 = v2) & sdtasdt0(v3, v4) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ? [v5] : ((v5 = v4 & sdtasdt0(v2, v3) = v4) | ( ~ (v5 = 0) & aInteger0(v3) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v2, v3) = v4) | ? [v5] : ((v5 = v4 & sdtasdt0(v3, v2) = v4) | ( ~ (v5 = 0) & aInteger0(v3) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v2, v3) = v4) | ? [v5] : ((v5 = 0 & aInteger0(v4) = 0) | ( ~ (v5 = 0) & aInteger0(v3) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ? [v5] : ((v5 = v4 & sdtpldt0(v2, v3) = v4) | ( ~ (v5 = 0) & aInteger0(v3) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v2, v3) = v4) | ? [v5] : ((v5 = v4 & sdtpldt0(v3, v2) = v4) | ( ~ (v5 = 0) & aInteger0(v3) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v2, v3) = v4) | ? [v5] : ((v5 = 0 & aInteger0(v4) = 0) | ( ~ (v5 = 0) & aInteger0(v3) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (aInteger0(v3) = v4) | ~ (aInteger0(v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & v6 = 0 & sdtasdt0(v3, v5) = v2 & aInteger0(v5) = 0) | ( ~ (v5 = 0) & aDivisorOf0(v3, v2) = v5))) & ! [v2] : ! [v3] : (v3 = sz00 | v2 = sz00 | ~ (sdtasdt0(v2, v3) = sz00) | ? [v4] : (( ~ (v4 = 0) & aInteger0(v3) = v4) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (aDivisorOf0(v3, v2) = 0) | ~ (aInteger0(v2) = 0) | aInteger0(v3) = 0) & ! [v2] : ! [v3] : ( ~ (aDivisorOf0(v3, v2) = 0) | ~ (aInteger0(v2) = 0) | ? [v4] : (sdtasdt0(v3, v4) = v2 & aInteger0(v4) = 0)) & ! [v2] : ! [v3] : ( ~ (sdtasdt0(v2, v0) = v3) | ? [v4] : ? [v5] : ((v5 = v3 & v4 = v3 & sdtasdt0(v0, v2) = v3 & smndt0(v2) = v3) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtasdt0(v2, sz10) = v3) | ? [v4] : ((v4 = v2 & v3 = v2 & sdtasdt0(sz10, v2) = v2) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtasdt0(v2, sz00) = v3) | ? [v4] : ((v4 = sz00 & v3 = sz00 & sdtasdt0(sz00, v2) = sz00) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = v3 & v4 = v3 & sdtasdt0(v2, v0) = v3 & smndt0(v2) = v3) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtasdt0(sz10, v2) = v3) | ? [v4] : ((v4 = v2 & v3 = v2 & sdtasdt0(v2, sz10) = v2) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtasdt0(sz00, v2) = v3) | ? [v4] : ((v4 = sz00 & v3 = sz00 & sdtasdt0(v2, sz00) = sz00) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtpldt0(v2, sz00) = v3) | ? [v4] : ((v4 = v2 & v3 = v2 & sdtpldt0(sz00, v2) = v2) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (sdtpldt0(sz00, v2) = v3) | ? [v4] : ((v4 = v2 & v3 = v2 & sdtpldt0(v2, sz00) = v2) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (smndt0(v2) = v3) | ? [v4] : ? [v5] : ((v5 = v3 & v4 = v3 & sdtasdt0(v2, v0) = v3 & sdtasdt0(v0, v2) = v3) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (smndt0(v2) = v3) | ? [v4] : ? [v5] : ((v5 = sz00 & v4 = sz00 & sdtpldt0(v3, v2) = sz00 & sdtpldt0(v2, v3) = sz00) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (smndt0(v2) = v3) | ? [v4] : ((v4 = 0 & aInteger0(v3) = 0) | ( ~ (v4 = 0) & aInteger0(v2) = v4))) & ! [v2] : ( ~ (aDivisorOf0(sz00, v2) = 0) | ~ (aInteger0(v2) = 0)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & aDivisorOf0(sz00, v2) = v3)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | ? [v3] : (sdtasdt0(v2, v0) = v3 & sdtasdt0(v0, v2) = v3 & smndt0(v2) = v3)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | ? [v3] : (sdtpldt0(v3, v2) = sz00 & sdtpldt0(v2, v3) = sz00 & smndt0(v2) = v3)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | ? [v3] : (smndt0(v2) = v3 & aInteger0(v3) = 0)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | (sdtasdt0(v2, sz10) = v2 & sdtasdt0(sz10, v2) = v2)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | (sdtasdt0(v2, sz00) = sz00 & sdtasdt0(sz00, v2) = sz00)) & ! [v2] : ( ~ (aInteger0(v2) = 0) | (sdtpldt0(v2, sz00) = v2 & sdtpldt0(sz00, v2) = v2)) & ? [v2] : ? [v3] : ? [v4] : ? [v5] : sdteqdtlpzmzozddtrp0(v4, v3, v2) = v5 & ? [v2] : ? [v3] : ? [v4] : aDivisorOf0(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : sdtasdt0(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : sdtpldt0(v3, v2) = v4 & ? [v2] : ? [v3] : smndt0(v2) = v3 & ? [v2] : ? [v3] : aInteger0(v2) = v3)
% 21.71/7.00 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 21.71/7.00 | (1) ~ (all_0_0_0 = 0) & ~ (xq = sz00) & sdteqdtlpzmzozddtrp0(xa, xa, xq) = all_0_0_0 & smndt0(sz10) = all_0_1_1 & aInteger0(xq) = 0 & aInteger0(xa) = 0 & aInteger0(sz10) = 0 & aInteger0(sz00) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = sz00 | ~ (aDivisorOf0(v2, v4) = v5) | ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ? [v6] : (( ~ (v6 = 0) & aInteger0(v2) = v6) | ( ~ (v6 = 0) & aInteger0(v1) = v6) | ( ~ (v6 = 0) & aInteger0(v0) = v6) | (( ~ (v5 = 0) | (v6 = 0 & sdteqdtlpzmzozddtrp0(v0, v1, v2) = 0)) & (v5 = 0 | ( ~ (v6 = 0) & sdteqdtlpzmzozddtrp0(v0, v1, v2) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v1, v2) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v5 & v9 = v7 & sdtasdt0(v10, v2) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v3) = v7 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v10) | ( ~ (v6 = 0) & aInteger0(v2) = v6) | ( ~ (v6 = 0) & aInteger0(v1) = v6) | ( ~ (v6 = 0) & aInteger0(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v9 & v7 = v5 & sdtasdt0(v8, v2) = v9 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v10) = v9 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v8) | ( ~ (v6 = 0) & aInteger0(v2) = v6) | ( ~ (v6 = 0) & aInteger0(v1) = v6) | ( ~ (v6 = 0) & aInteger0(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v4 & v9 = v6 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v5) = v6 & sdtasdt0(v0, v2) = v8 & sdtasdt0(v0, v1) = v7 & sdtpldt0(v8, v10) = v4 & sdtpldt0(v7, v8) = v6 & sdtpldt0(v1, v2) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v9 & v7 = v4 & sdtasdt0(v8, v2) = v9 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v6, v10) = v9 & sdtpldt0(v5, v6) = v4 & sdtpldt0(v0, v1) = v8) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = sz00 | ~ (sdteqdtlpzmzozddtrp0(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aInteger0(v2) = v4) | ( ~ (v4 = 0) & aInteger0(v1) = v4) | ( ~ (v4 = 0) & aInteger0(v0) = v4) | (( ~ (v3 = 0) | (v6 = 0 & aDivisorOf0(v2, v5) = 0 & sdtpldt0(v0, v4) = v5 & smndt0(v1) = v4)) & (v3 = 0 | ( ~ (v6 = 0) & aDivisorOf0(v2, v5) = v6 & sdtpldt0(v0, v4) = v5 & smndt0(v1) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | v1 = sz00 | ~ (aDivisorOf0(v1, v0) = v2) | ~ (sdtasdt0(v1, v3) = v0) | ~ (aInteger0(v0) = 0) | ? [v4] : (( ~ (v4 = 0) & aInteger0(v3) = v4) | ( ~ (v4 = 0) & aInteger0(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | v1 = sz00 | ~ (aDivisorOf0(v1, v0) = v2) | ~ (aInteger0(v3) = 0) | ~ (aInteger0(v0) = 0) | ? [v4] : (( ~ (v4 = v0) & sdtasdt0(v1, v3) = v4) | ( ~ (v4 = 0) & aInteger0(v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (aInteger0(v1) = v2) | ~ (aInteger0(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & aDivisorOf0(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aInteger0(v2) = v1) | ~ (aInteger0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (sdtasdt0(v1, v2) = v0) | ~ (aInteger0(v1) = 0) | ~ (aInteger0(v0) = 0) | ? [v3] : ((v3 = 0 & aDivisorOf0(v1, v0) = 0) | ( ~ (v3 = 0) & aInteger0(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (aInteger0(v2) = 0) | ~ (aInteger0(v1) = 0) | ~ (aInteger0(v0) = 0) | ? [v3] : ((v3 = 0 & aDivisorOf0(v1, v0) = 0) | ( ~ (v3 = v0) & sdtasdt0(v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v0, v1) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v1, v0) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aInteger0(v2) = 0) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v0, v1) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v1, v0) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aInteger0(v2) = 0) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (aInteger0(v1) = v2) | ~ (aInteger0(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = v0 & v4 = 0 & sdtasdt0(v1, v3) = v0 & aInteger0(v3) = 0) | ( ~ (v3 = 0) & aDivisorOf0(v1, v0) = v3))) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : (( ~ (v2 = 0) & aInteger0(v1) = v2) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (aDivisorOf0(v1, v0) = 0) | ~ (aInteger0(v0) = 0) | aInteger0(v1) = 0) & ! [v0] : ! [v1] : ( ~ (aDivisorOf0(v1, v0) = 0) | ~ (aInteger0(v0) = 0) | ? [v2] : (sdtasdt0(v1, v2) = v0 & aInteger0(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, all_0_1_1) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(all_0_1_1, v0) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(sz10, v0) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ? [v2] : ((v2 = sz00 & v1 = sz00 & sdtasdt0(sz00, v0) = sz00) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_1_1, v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_1_1) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(v0, sz10) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ((v2 = sz00 & v1 = sz00 & sdtasdt0(v0, sz00) = sz00) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(sz00, v0) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(v0, sz00) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_1_1) = v1 & sdtasdt0(all_0_1_1, v0) = v1) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = sz00 & v2 = sz00 & sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ((v2 = 0 & aInteger0(v1) = 0) | ( ~ (v2 = 0) & aInteger0(v0) = v2))) & ! [v0] : ( ~ (aDivisorOf0(sz00, v0) = 0) | ~ (aInteger0(v0) = 0)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & aDivisorOf0(sz00, v0) = v1)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : (sdtasdt0(v0, all_0_1_1) = v1 & sdtasdt0(all_0_1_1, v0) = v1 & smndt0(v0) = v1)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : (sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00 & smndt0(v0) = v1)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : (smndt0(v0) = v1 & aInteger0(v1) = 0)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | (sdtasdt0(v0, sz10) = v0 & sdtasdt0(sz10, v0) = v0)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | (sdtasdt0(v0, sz00) = sz00 & sdtasdt0(sz00, v0) = sz00)) & ! [v0] : ( ~ (aInteger0(v0) = 0) | (sdtpldt0(v0, sz00) = v0 & sdtpldt0(sz00, v0) = v0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : sdteqdtlpzmzozddtrp0(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : aDivisorOf0(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : sdtasdt0(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : sdtpldt0(v1, v0) = v2 & ? [v0] : ? [v1] : smndt0(v0) = v1 & ? [v0] : ? [v1] : aInteger0(v0) = v1
% 21.71/7.03 |
% 21.71/7.03 | Applying alpha-rule on (1) yields:
% 21.71/7.03 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v0, v1) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3)))
% 21.71/7.03 | (3) ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(sz00, v0) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.03 | (4) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = sz00 & v2 = sz00 & sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.03 | (5) ? [v0] : ? [v1] : aInteger0(v0) = v1
% 21.71/7.03 | (6) aInteger0(xq) = 0
% 21.71/7.03 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v1, v2) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v5 & v9 = v7 & sdtasdt0(v10, v2) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v3) = v7 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v10) | ( ~ (v6 = 0) & aInteger0(v2) = v6) | ( ~ (v6 = 0) & aInteger0(v1) = v6) | ( ~ (v6 = 0) & aInteger0(v0) = v6)))
% 21.71/7.03 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5)))
% 21.71/7.03 | (9) ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : (sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00 & smndt0(v0) = v1))
% 21.71/7.03 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0))
% 21.71/7.03 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5)))
% 21.71/7.03 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (sdtasdt0(v1, v2) = v0) | ~ (aInteger0(v1) = 0) | ~ (aInteger0(v0) = 0) | ? [v3] : ((v3 = 0 & aDivisorOf0(v1, v0) = 0) | ( ~ (v3 = 0) & aInteger0(v2) = v3)))
% 21.71/7.03 | (13) ! [v0] : ( ~ (aInteger0(v0) = 0) | (sdtpldt0(v0, sz00) = v0 & sdtpldt0(sz00, v0) = v0))
% 21.71/7.03 | (14) sdteqdtlpzmzozddtrp0(xa, xa, xq) = all_0_0_0
% 21.71/7.03 | (15) ? [v0] : ? [v1] : ? [v2] : ? [v3] : sdteqdtlpzmzozddtrp0(v2, v1, v0) = v3
% 21.71/7.03 | (16) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_1_1) = v1 & sdtasdt0(all_0_1_1, v0) = v1) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.03 | (17) ~ (xq = sz00)
% 21.71/7.03 | (18) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(sz10, v0) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.03 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5)))
% 21.71/7.04 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0))
% 21.71/7.04 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | v1 = sz00 | ~ (aDivisorOf0(v1, v0) = v2) | ~ (sdtasdt0(v1, v3) = v0) | ~ (aInteger0(v0) = 0) | ? [v4] : (( ~ (v4 = 0) & aInteger0(v3) = v4) | ( ~ (v4 = 0) & aInteger0(v1) = v4)))
% 21.71/7.04 | (22) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ((v2 = sz00 & v1 = sz00 & sdtasdt0(v0, sz00) = sz00) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.04 | (23) smndt0(sz10) = all_0_1_1
% 21.71/7.04 | (24) ~ (all_0_0_0 = 0)
% 21.71/7.04 | (25) aInteger0(xa) = 0
% 21.71/7.04 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = sz00 | ~ (sdteqdtlpzmzozddtrp0(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aInteger0(v2) = v4) | ( ~ (v4 = 0) & aInteger0(v1) = v4) | ( ~ (v4 = 0) & aInteger0(v0) = v4) | (( ~ (v3 = 0) | (v6 = 0 & aDivisorOf0(v2, v5) = 0 & sdtpldt0(v0, v4) = v5 & smndt0(v1) = v4)) & (v3 = 0 | ( ~ (v6 = 0) & aDivisorOf0(v2, v5) = v6 & sdtpldt0(v0, v4) = v5 & smndt0(v1) = v4)))))
% 21.71/7.04 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aInteger0(v2) = 0) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3)))
% 21.71/7.04 | (28) ! [v0] : ( ~ (aInteger0(v0) = 0) | (sdtasdt0(v0, sz10) = v0 & sdtasdt0(sz10, v0) = v0))
% 21.71/7.04 | (29) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(v0, sz00) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.04 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (aInteger0(v1) = v2) | ~ (aInteger0(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = v0 & v4 = 0 & sdtasdt0(v1, v3) = v0 & aInteger0(v3) = 0) | ( ~ (v3 = 0) & aDivisorOf0(v1, v0) = v3)))
% 21.71/7.04 | (31) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ((v2 = 0 & aInteger0(v1) = 0) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.04 | (32) ! [v0] : ( ~ (aInteger0(v0) = 0) | (sdtasdt0(v0, sz00) = sz00 & sdtasdt0(sz00, v0) = sz00))
% 21.71/7.04 | (33) aInteger0(sz00) = 0
% 21.71/7.04 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 21.71/7.04 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v1, v0) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3)))
% 21.71/7.04 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v4 & v9 = v6 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v5) = v6 & sdtasdt0(v0, v2) = v8 & sdtasdt0(v0, v1) = v7 & sdtpldt0(v8, v10) = v4 & sdtpldt0(v7, v8) = v6 & sdtpldt0(v1, v2) = v5) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5)))
% 21.71/7.04 | (37) ? [v0] : ? [v1] : ? [v2] : aDivisorOf0(v1, v0) = v2
% 21.71/7.04 | (38) ! [v0] : ( ~ (aDivisorOf0(sz00, v0) = 0) | ~ (aInteger0(v0) = 0))
% 21.71/7.04 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aInteger0(v2) = v1) | ~ (aInteger0(v2) = v0))
% 21.71/7.04 | (40) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : (( ~ (v2 = 0) & aInteger0(v1) = v2) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.04 | (41) ! [v0] : ! [v1] : ( ~ (aDivisorOf0(v1, v0) = 0) | ~ (aInteger0(v0) = 0) | aInteger0(v1) = 0)
% 21.71/7.04 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aInteger0(v2) = 0) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3)))
% 21.71/7.04 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v1, v0) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3)))
% 21.71/7.04 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v9 & v7 = v4 & sdtasdt0(v8, v2) = v9 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v6, v10) = v9 & sdtpldt0(v5, v6) = v4 & sdtpldt0(v0, v1) = v8) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5)))
% 21.71/7.04 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 21.71/7.04 | (46) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (aInteger0(v1) = v2) | ~ (aInteger0(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & aDivisorOf0(v1, v0) = v3))
% 21.71/7.04 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | v1 = sz00 | ~ (aDivisorOf0(v1, v0) = v2) | ~ (aInteger0(v3) = 0) | ~ (aInteger0(v0) = 0) | ? [v4] : (( ~ (v4 = v0) & sdtasdt0(v1, v3) = v4) | ( ~ (v4 = 0) & aInteger0(v1) = v4)))
% 21.71/7.04 | (48) ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & aDivisorOf0(sz00, v0) = v1))
% 21.71/7.04 | (49) ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : (sdtasdt0(v0, all_0_1_1) = v1 & sdtasdt0(all_0_1_1, v0) = v1 & smndt0(v0) = v1))
% 21.71/7.04 | (50) ? [v0] : ? [v1] : ? [v2] : sdtasdt0(v1, v0) = v2
% 21.71/7.04 | (51) aInteger0(sz10) = 0
% 21.71/7.04 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v9 & v7 = v5 & sdtasdt0(v8, v2) = v9 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v10) = v9 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v8) | ( ~ (v6 = 0) & aInteger0(v2) = v6) | ( ~ (v6 = 0) & aInteger0(v1) = v6) | ( ~ (v6 = 0) & aInteger0(v0) = v6)))
% 21.71/7.04 | (53) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ? [v2] : ((v2 = sz00 & v1 = sz00 & sdtasdt0(sz00, v0) = sz00) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.04 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (aInteger0(v2) = 0) | ~ (aInteger0(v1) = 0) | ~ (aInteger0(v0) = 0) | ? [v3] : ((v3 = 0 & aDivisorOf0(v1, v0) = 0) | ( ~ (v3 = v0) & sdtasdt0(v1, v2) = v3)))
% 21.71/7.04 | (55) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, all_0_1_1) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(all_0_1_1, v0) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.04 | (56) ! [v0] : ! [v1] : ( ~ (aDivisorOf0(v1, v0) = 0) | ~ (aInteger0(v0) = 0) | ? [v2] : (sdtasdt0(v1, v2) = v0 & aInteger0(v2) = 0))
% 21.71/7.05 | (57) ? [v0] : ? [v1] : smndt0(v0) = v1
% 21.71/7.05 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v0, v1) = v2) | ( ~ (v3 = 0) & aInteger0(v1) = v3) | ( ~ (v3 = 0) & aInteger0(v0) = v3)))
% 21.71/7.05 | (59) ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_1_1, v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_1_1) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.05 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 21.71/7.05 | (61) ! [v0] : ( ~ (aInteger0(v0) = 0) | ? [v1] : (smndt0(v0) = v1 & aInteger0(v1) = 0))
% 21.71/7.05 | (62) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(v0, sz10) = v0) | ( ~ (v2 = 0) & aInteger0(v0) = v2)))
% 21.71/7.05 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = sz00 | ~ (aDivisorOf0(v2, v4) = v5) | ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ? [v6] : (( ~ (v6 = 0) & aInteger0(v2) = v6) | ( ~ (v6 = 0) & aInteger0(v1) = v6) | ( ~ (v6 = 0) & aInteger0(v0) = v6) | (( ~ (v5 = 0) | (v6 = 0 & sdteqdtlpzmzozddtrp0(v0, v1, v2) = 0)) & (v5 = 0 | ( ~ (v6 = 0) & sdteqdtlpzmzozddtrp0(v0, v1, v2) = v6)))))
% 21.71/7.05 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4) | ( ~ (v5 = 0) & aInteger0(v2) = v5) | ( ~ (v5 = 0) & aInteger0(v1) = v5) | ( ~ (v5 = 0) & aInteger0(v0) = v5)))
% 21.71/7.05 | (65) ? [v0] : ? [v1] : ? [v2] : sdtpldt0(v1, v0) = v2
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (26) with all_0_0_0, xq, xa, xa and discharging atoms sdteqdtlpzmzozddtrp0(xa, xa, xq) = all_0_0_0, yields:
% 21.71/7.05 | (66) xq = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aInteger0(xq) = v0) | ( ~ (v0 = 0) & aInteger0(xa) = v0) | (( ~ (all_0_0_0 = 0) | (v2 = 0 & aDivisorOf0(xq, v1) = 0 & sdtpldt0(xa, v0) = v1 & smndt0(xa) = v0)) & (all_0_0_0 = 0 | ( ~ (v2 = 0) & aDivisorOf0(xq, v1) = v2 & sdtpldt0(xa, v0) = v1 & smndt0(xa) = v0))))
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (54) with xq, xq, xq and discharging atoms aInteger0(xq) = 0, yields:
% 21.71/7.05 | (67) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, xq) = v0))
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (32) with xq and discharging atoms aInteger0(xq) = 0, yields:
% 21.71/7.05 | (68) sdtasdt0(xq, sz00) = sz00 & sdtasdt0(sz00, xq) = sz00
% 21.71/7.05 |
% 21.71/7.05 | Applying alpha-rule on (68) yields:
% 21.71/7.05 | (69) sdtasdt0(xq, sz00) = sz00
% 21.71/7.05 | (70) sdtasdt0(sz00, xq) = sz00
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (54) with xa, xq, xq and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, yields:
% 21.71/7.05 | (71) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, xa) = v0))
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (54) with xq, xq, xa and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, yields:
% 21.71/7.05 | (72) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, xq) = v0))
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (54) with xa, xq, xa and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, yields:
% 21.71/7.05 | (73) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, xa) = v0))
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (49) with xa and discharging atoms aInteger0(xa) = 0, yields:
% 21.71/7.05 | (74) ? [v0] : (sdtasdt0(all_0_1_1, xa) = v0 & sdtasdt0(xa, all_0_1_1) = v0 & smndt0(xa) = v0)
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (9) with xa and discharging atoms aInteger0(xa) = 0, yields:
% 21.71/7.05 | (75) ? [v0] : (sdtpldt0(v0, xa) = sz00 & sdtpldt0(xa, v0) = sz00 & smndt0(xa) = v0)
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (61) with xa and discharging atoms aInteger0(xa) = 0, yields:
% 21.71/7.05 | (76) ? [v0] : (smndt0(xa) = v0 & aInteger0(v0) = 0)
% 21.71/7.05 |
% 21.71/7.05 | Instantiating formula (54) with sz10, xq, xq and discharging atoms aInteger0(xq) = 0, aInteger0(sz10) = 0, yields:
% 21.71/7.05 | (77) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with xq, xq, sz10 and discharging atoms aInteger0(xq) = 0, aInteger0(sz10) = 0, yields:
% 21.99/7.05 | (78) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, xq) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with sz10, xq, xa and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, aInteger0(sz10) = 0, yields:
% 21.99/7.05 | (79) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with sz10, xq, sz10 and discharging atoms aInteger0(xq) = 0, aInteger0(sz10) = 0, yields:
% 21.99/7.05 | (80) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with xa, xq, sz10 and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, aInteger0(sz10) = 0, yields:
% 21.99/7.05 | (81) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, xa) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with sz00, xq, xq and discharging atoms aInteger0(xq) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.05 | (82) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with xq, xq, sz00 and discharging atoms aInteger0(xq) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.05 | (83) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, xq) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with sz00, xq, xa and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.05 | (84) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with sz00, xq, sz10 and discharging atoms aInteger0(xq) = 0, aInteger0(sz10) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.05 | (85) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.05 |
% 21.99/7.05 | Instantiating formula (54) with sz00, xq, sz00 and discharging atoms aInteger0(xq) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.05 | (86) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.05 |
% 21.99/7.06 | Instantiating formula (54) with xa, xq, sz00 and discharging atoms aInteger0(xq) = 0, aInteger0(xa) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.06 | (87) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, xa) = v0))
% 21.99/7.06 |
% 21.99/7.06 | Instantiating formula (54) with sz10, xq, sz00 and discharging atoms aInteger0(xq) = 0, aInteger0(sz10) = 0, aInteger0(sz00) = 0, yields:
% 21.99/7.06 | (88) xq = sz00 | ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.06 |
% 21.99/7.06 | Instantiating (76) with all_21_0_19 yields:
% 21.99/7.06 | (89) smndt0(xa) = all_21_0_19 & aInteger0(all_21_0_19) = 0
% 21.99/7.06 |
% 21.99/7.06 | Applying alpha-rule on (89) yields:
% 21.99/7.06 | (90) smndt0(xa) = all_21_0_19
% 21.99/7.06 | (91) aInteger0(all_21_0_19) = 0
% 21.99/7.06 |
% 21.99/7.06 | Instantiating (75) with all_46_0_50 yields:
% 21.99/7.06 | (92) sdtpldt0(all_46_0_50, xa) = sz00 & sdtpldt0(xa, all_46_0_50) = sz00 & smndt0(xa) = all_46_0_50
% 21.99/7.06 |
% 21.99/7.06 | Applying alpha-rule on (92) yields:
% 21.99/7.06 | (93) sdtpldt0(all_46_0_50, xa) = sz00
% 21.99/7.06 | (94) sdtpldt0(xa, all_46_0_50) = sz00
% 21.99/7.06 | (95) smndt0(xa) = all_46_0_50
% 21.99/7.06 |
% 21.99/7.06 | Instantiating (74) with all_53_0_56 yields:
% 21.99/7.06 | (96) sdtasdt0(all_0_1_1, xa) = all_53_0_56 & sdtasdt0(xa, all_0_1_1) = all_53_0_56 & smndt0(xa) = all_53_0_56
% 21.99/7.06 |
% 21.99/7.06 | Applying alpha-rule on (96) yields:
% 21.99/7.06 | (97) sdtasdt0(all_0_1_1, xa) = all_53_0_56
% 21.99/7.06 | (98) sdtasdt0(xa, all_0_1_1) = all_53_0_56
% 21.99/7.06 | (99) smndt0(xa) = all_53_0_56
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (77), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (103) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (67), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (107) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, xq) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (80), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (111) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (86), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (115) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.06 |
% 21.99/7.06 | Instantiating (115) with all_89_0_91 yields:
% 21.99/7.06 | (116) (all_89_0_91 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (all_89_0_91 = sz00) & sdtasdt0(xq, sz00) = all_89_0_91)
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (88), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (120) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (116), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (121) all_89_0_91 = 0 & aDivisorOf0(xq, sz00) = 0
% 21.99/7.06 |
% 21.99/7.06 | Applying alpha-rule on (121) yields:
% 21.99/7.06 | (122) all_89_0_91 = 0
% 21.99/7.06 | (123) aDivisorOf0(xq, sz00) = 0
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (78), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (127) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, xq) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (85), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (131) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (87), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (135) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, xa) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (83), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (139) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz00) = 0) | ( ~ (v0 = sz00) & sdtasdt0(xq, xq) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (84), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (143) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (73), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (147) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, xa) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (72), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (151) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, xq) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (82), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (155) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, sz00) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (79), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (159) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xa) = 0) | ( ~ (v0 = xa) & sdtasdt0(xq, sz10) = v0))
% 21.99/7.06 |
% 21.99/7.06 +-Applying beta-rule and splitting (71), into two cases.
% 21.99/7.06 |-Branch one:
% 21.99/7.06 | (100) xq = sz00
% 21.99/7.06 |
% 21.99/7.06 | Equations (100) can reduce 17 to:
% 21.99/7.06 | (101) $false
% 21.99/7.06 |
% 21.99/7.06 |-The branch is then unsatisfiable
% 21.99/7.06 |-Branch two:
% 21.99/7.06 | (17) ~ (xq = sz00)
% 21.99/7.06 | (163) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, xq) = 0) | ( ~ (v0 = xq) & sdtasdt0(xq, xa) = v0))
% 21.99/7.07 |
% 21.99/7.07 +-Applying beta-rule and splitting (81), into two cases.
% 21.99/7.07 |-Branch one:
% 21.99/7.07 | (100) xq = sz00
% 21.99/7.07 |
% 21.99/7.07 | Equations (100) can reduce 17 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 |-Branch two:
% 21.99/7.07 | (17) ~ (xq = sz00)
% 21.99/7.07 | (167) ? [v0] : ((v0 = 0 & aDivisorOf0(xq, sz10) = 0) | ( ~ (v0 = sz10) & sdtasdt0(xq, xa) = v0))
% 21.99/7.07 |
% 21.99/7.07 +-Applying beta-rule and splitting (66), into two cases.
% 21.99/7.07 |-Branch one:
% 21.99/7.07 | (100) xq = sz00
% 21.99/7.07 |
% 21.99/7.07 | Equations (100) can reduce 17 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 |-Branch two:
% 21.99/7.07 | (17) ~ (xq = sz00)
% 21.99/7.07 | (171) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aInteger0(xq) = v0) | ( ~ (v0 = 0) & aInteger0(xa) = v0) | (( ~ (all_0_0_0 = 0) | (v2 = 0 & aDivisorOf0(xq, v1) = 0 & sdtpldt0(xa, v0) = v1 & smndt0(xa) = v0)) & (all_0_0_0 = 0 | ( ~ (v2 = 0) & aDivisorOf0(xq, v1) = v2 & sdtpldt0(xa, v0) = v1 & smndt0(xa) = v0))))
% 21.99/7.07 |
% 21.99/7.07 | Instantiating (171) with all_169_0_104, all_169_1_105, all_169_2_106 yields:
% 21.99/7.07 | (172) ( ~ (all_169_2_106 = 0) & aInteger0(xq) = all_169_2_106) | ( ~ (all_169_2_106 = 0) & aInteger0(xa) = all_169_2_106) | (( ~ (all_0_0_0 = 0) | (all_169_0_104 = 0 & aDivisorOf0(xq, all_169_1_105) = 0 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106)) & (all_0_0_0 = 0 | ( ~ (all_169_0_104 = 0) & aDivisorOf0(xq, all_169_1_105) = all_169_0_104 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106)))
% 21.99/7.07 |
% 21.99/7.07 +-Applying beta-rule and splitting (172), into two cases.
% 21.99/7.07 |-Branch one:
% 21.99/7.07 | (173) ( ~ (all_169_2_106 = 0) & aInteger0(xq) = all_169_2_106) | ( ~ (all_169_2_106 = 0) & aInteger0(xa) = all_169_2_106)
% 21.99/7.07 |
% 21.99/7.07 +-Applying beta-rule and splitting (173), into two cases.
% 21.99/7.07 |-Branch one:
% 21.99/7.07 | (174) ~ (all_169_2_106 = 0) & aInteger0(xq) = all_169_2_106
% 21.99/7.07 |
% 21.99/7.07 | Applying alpha-rule on (174) yields:
% 21.99/7.07 | (175) ~ (all_169_2_106 = 0)
% 21.99/7.07 | (176) aInteger0(xq) = all_169_2_106
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (39) with xq, all_169_2_106, 0 and discharging atoms aInteger0(xq) = all_169_2_106, aInteger0(xq) = 0, yields:
% 21.99/7.07 | (177) all_169_2_106 = 0
% 21.99/7.07 |
% 21.99/7.07 | Equations (177) can reduce 175 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 |-Branch two:
% 21.99/7.07 | (179) ~ (all_169_2_106 = 0) & aInteger0(xa) = all_169_2_106
% 21.99/7.07 |
% 21.99/7.07 | Applying alpha-rule on (179) yields:
% 21.99/7.07 | (175) ~ (all_169_2_106 = 0)
% 21.99/7.07 | (181) aInteger0(xa) = all_169_2_106
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (39) with xa, all_169_2_106, 0 and discharging atoms aInteger0(xa) = all_169_2_106, aInteger0(xa) = 0, yields:
% 21.99/7.07 | (177) all_169_2_106 = 0
% 21.99/7.07 |
% 21.99/7.07 | Equations (177) can reduce 175 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 |-Branch two:
% 21.99/7.07 | (184) ( ~ (all_0_0_0 = 0) | (all_169_0_104 = 0 & aDivisorOf0(xq, all_169_1_105) = 0 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106)) & (all_0_0_0 = 0 | ( ~ (all_169_0_104 = 0) & aDivisorOf0(xq, all_169_1_105) = all_169_0_104 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106))
% 21.99/7.07 |
% 21.99/7.07 | Applying alpha-rule on (184) yields:
% 21.99/7.07 | (185) ~ (all_0_0_0 = 0) | (all_169_0_104 = 0 & aDivisorOf0(xq, all_169_1_105) = 0 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106)
% 21.99/7.07 | (186) all_0_0_0 = 0 | ( ~ (all_169_0_104 = 0) & aDivisorOf0(xq, all_169_1_105) = all_169_0_104 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106)
% 21.99/7.07 |
% 21.99/7.07 +-Applying beta-rule and splitting (186), into two cases.
% 21.99/7.07 |-Branch one:
% 21.99/7.07 | (187) all_0_0_0 = 0
% 21.99/7.07 |
% 21.99/7.07 | Equations (187) can reduce 24 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 |-Branch two:
% 21.99/7.07 | (24) ~ (all_0_0_0 = 0)
% 21.99/7.07 | (190) ~ (all_169_0_104 = 0) & aDivisorOf0(xq, all_169_1_105) = all_169_0_104 & sdtpldt0(xa, all_169_2_106) = all_169_1_105 & smndt0(xa) = all_169_2_106
% 21.99/7.07 |
% 21.99/7.07 | Applying alpha-rule on (190) yields:
% 21.99/7.07 | (191) ~ (all_169_0_104 = 0)
% 21.99/7.07 | (192) aDivisorOf0(xq, all_169_1_105) = all_169_0_104
% 21.99/7.07 | (193) sdtpldt0(xa, all_169_2_106) = all_169_1_105
% 21.99/7.07 | (194) smndt0(xa) = all_169_2_106
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (34) with xa, all_53_0_56, all_169_2_106 and discharging atoms smndt0(xa) = all_169_2_106, smndt0(xa) = all_53_0_56, yields:
% 21.99/7.07 | (195) all_169_2_106 = all_53_0_56
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (34) with xa, all_46_0_50, all_53_0_56 and discharging atoms smndt0(xa) = all_53_0_56, smndt0(xa) = all_46_0_50, yields:
% 21.99/7.07 | (196) all_53_0_56 = all_46_0_50
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (34) with xa, all_21_0_19, all_169_2_106 and discharging atoms smndt0(xa) = all_169_2_106, smndt0(xa) = all_21_0_19, yields:
% 21.99/7.07 | (197) all_169_2_106 = all_21_0_19
% 21.99/7.07 |
% 21.99/7.07 | Combining equations (195,197) yields a new equation:
% 21.99/7.07 | (198) all_53_0_56 = all_21_0_19
% 21.99/7.07 |
% 21.99/7.07 | Simplifying 198 yields:
% 21.99/7.07 | (199) all_53_0_56 = all_21_0_19
% 21.99/7.07 |
% 21.99/7.07 | Combining equations (196,199) yields a new equation:
% 21.99/7.07 | (200) all_46_0_50 = all_21_0_19
% 21.99/7.07 |
% 21.99/7.07 | Simplifying 200 yields:
% 21.99/7.07 | (201) all_46_0_50 = all_21_0_19
% 21.99/7.07 |
% 21.99/7.07 | From (197) and (193) follows:
% 21.99/7.07 | (202) sdtpldt0(xa, all_21_0_19) = all_169_1_105
% 21.99/7.07 |
% 21.99/7.07 | From (201) and (94) follows:
% 21.99/7.07 | (203) sdtpldt0(xa, all_21_0_19) = sz00
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (45) with xa, all_21_0_19, sz00, all_169_1_105 and discharging atoms sdtpldt0(xa, all_21_0_19) = all_169_1_105, sdtpldt0(xa, all_21_0_19) = sz00, yields:
% 21.99/7.07 | (204) all_169_1_105 = sz00
% 21.99/7.07 |
% 21.99/7.07 | From (204) and (192) follows:
% 21.99/7.07 | (205) aDivisorOf0(xq, sz00) = all_169_0_104
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (10) with xq, sz00, all_169_0_104, 0 and discharging atoms aDivisorOf0(xq, sz00) = all_169_0_104, aDivisorOf0(xq, sz00) = 0, yields:
% 21.99/7.07 | (206) all_169_0_104 = 0
% 21.99/7.07 |
% 21.99/7.07 | Equations (206) can reduce 191 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 |-Branch two:
% 21.99/7.07 | (208) ~ (all_89_0_91 = sz00) & sdtasdt0(xq, sz00) = all_89_0_91
% 21.99/7.07 |
% 21.99/7.07 | Applying alpha-rule on (208) yields:
% 21.99/7.07 | (209) ~ (all_89_0_91 = sz00)
% 21.99/7.07 | (210) sdtasdt0(xq, sz00) = all_89_0_91
% 21.99/7.07 |
% 21.99/7.07 | Instantiating formula (60) with xq, sz00, sz00, all_89_0_91 and discharging atoms sdtasdt0(xq, sz00) = all_89_0_91, sdtasdt0(xq, sz00) = sz00, yields:
% 21.99/7.07 | (211) all_89_0_91 = sz00
% 21.99/7.07 |
% 21.99/7.07 | Equations (211) can reduce 209 to:
% 21.99/7.07 | (101) $false
% 21.99/7.07 |
% 21.99/7.07 |-The branch is then unsatisfiable
% 21.99/7.07 % SZS output end Proof for theBenchmark
% 21.99/7.07
% 21.99/7.07 6474ms
%------------------------------------------------------------------------------