TSTP Solution File: RNG097+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG097+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 20:25:21 EDT 2022
% Result : Theorem 9.02s 2.83s
% Output : Proof 23.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG097+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 05:54:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.52/0.57 ____ _
% 0.52/0.57 ___ / __ \_____(_)___ ________ __________
% 0.52/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.57
% 0.52/0.57 A Theorem Prover for First-Order Logic
% 0.52/0.57 (ePrincess v.1.0)
% 0.52/0.57
% 0.52/0.57 (c) Philipp Rümmer, 2009-2015
% 0.52/0.57 (c) Peter Backeman, 2014-2015
% 0.52/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.57 Bug reports to peter@backeman.se
% 0.52/0.57
% 0.52/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.57
% 0.52/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.52/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.60/0.96 Prover 0: Preprocessing ...
% 3.07/1.35 Prover 0: Constructing countermodel ...
% 9.02/2.83 Prover 0: proved (2212ms)
% 9.02/2.83
% 9.02/2.83 No countermodel exists, formula is valid
% 9.02/2.83 % SZS status Theorem for theBenchmark
% 9.02/2.83
% 9.02/2.83 Generating proof ... found it (size 288)
% 23.13/7.55
% 23.13/7.55 % SZS output start Proof for theBenchmark
% 23.13/7.55 Assumed formulas after preprocessing and simplification:
% 23.13/7.55 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (sz10 = sz00) & sdtpldt1(xI, xJ) = v1 & sdtasdt0(xy, xa) = v2 & sdtasdt0(xx, v7) = v8 & sdtasdt0(xx, xb) = v3 & sdtpldt0(v3, v4) = v6 & sdtpldt0(v2, v6) = v5 & sdtpldt0(v2, v3) = xw & sdtpldt0(xw, v4) = v5 & sdtpldt0(xb, v0) = v7 & sdtpldt0(xa, xb) = sz10 & smndt0(xx) = v4 & smndt0(sz10) = v0 & aIdeal0(xJ) & aIdeal0(xI) & aElementOf0(xb, xJ) & aElementOf0(xa, xI) & aSet0(xJ) & aSet0(xI) & aElement0(xy) & aElement0(xx) & aElement0(sz10) & aElement0(sz00) & ~ aElementOf0(v8, xI) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt1(v9, v10) = v11) | ~ (sdtpldt0(v13, v14) = v12) | ~ aElementOf0(v14, v10) | ~ aElementOf0(v13, v9) | ~ aSet0(v10) | ~ aSet0(v9) | aElementOf0(v12, v11)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v11, v9) = v13) | ~ (sdtasdt0(v10, v9) = v12) | ~ (sdtpldt0(v12, v13) = v14) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtasdt0(v15, v9) = v14 & sdtasdt0(v9, v15) = v16 & sdtasdt0(v9, v11) = v18 & sdtasdt0(v9, v10) = v17 & sdtpldt0(v17, v18) = v16 & sdtpldt0(v10, v11) = v15)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v9, v11) = v13) | ~ (sdtasdt0(v9, v10) = v12) | ~ (sdtpldt0(v12, v13) = v14) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtasdt0(v15, v9) = v16 & sdtasdt0(v11, v9) = v18 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v15) = v14 & sdtpldt0(v17, v18) = v16 & sdtpldt0(v10, v11) = v15)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v12, v11) = v13) | ~ (sdtasdt0(v9, v10) = v12) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v14] : (sdtasdt0(v10, v11) = v14 & sdtasdt0(v9, v14) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v12, v9) = v13) | ~ (sdtpldt0(v10, v11) = v12) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtasdt0(v11, v9) = v18 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v12) = v14 & sdtasdt0(v9, v11) = v16 & sdtasdt0(v9, v10) = v15 & sdtpldt0(v17, v18) = v13 & sdtpldt0(v15, v16) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v10, v11) = v12) | ~ (sdtasdt0(v9, v12) = v13) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v14] : (sdtasdt0(v14, v11) = v13 & sdtasdt0(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v9, v12) = v13) | ~ (sdtpldt0(v10, v11) = v12) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtasdt0(v12, v9) = v16 & sdtasdt0(v11, v9) = v18 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v11) = v15 & sdtasdt0(v9, v10) = v14 & sdtpldt0(v17, v18) = v16 & sdtpldt0(v14, v15) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v12, v11) = v13) | ~ (sdtpldt0(v9, v10) = v12) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v14] : (sdtpldt0(v10, v11) = v14 & sdtpldt0(v9, v14) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v10, v11) = v12) | ~ (sdtpldt0(v9, v12) = v13) | ~ aElement0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | ? [v14] : (sdtpldt0(v14, v11) = v13 & sdtpldt0(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v9, v12) = v13) | ~ (smndt0(v10) = v12) | ~ sdteqdtlpzmzozddtrp0(v9, v10, v11) | ~ aIdeal0(v11) | ~ aElement0(v10) | ~ aElement0(v9) | aElementOf0(v13, v11)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v9, v12) = v13) | ~ (smndt0(v10) = v12) | ~ aIdeal0(v11) | ~ aElementOf0(v13, v11) | ~ aElement0(v10) | ~ aElement0(v9) | sdteqdtlpzmzozddtrp0(v9, v10, v11)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (sdtasasdt0(v9, v10) = v11) | ~ aSet0(v12) | ~ aSet0(v10) | ~ aSet0(v9) | ? [v13] : (( ~ aElementOf0(v13, v12) | ~ aElementOf0(v13, v10) | ~ aElementOf0(v13, v9)) & (aElementOf0(v13, v12) | (aElementOf0(v13, v10) & aElementOf0(v13, v9))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (sdtpldt1(v9, v10) = v11) | ~ aSet0(v12) | ~ aSet0(v10) | ~ aSet0(v9) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (( ~ aElementOf0(v13, v12) | ! [v17] : ! [v18] : ( ~ (sdtpldt0(v17, v18) = v13) | ~ aElementOf0(v18, v10) | ~ aElementOf0(v17, v9))) & (aElementOf0(v13, v12) | (v16 = v13 & sdtpldt0(v14, v15) = v13 & aElementOf0(v15, v10) & aElementOf0(v14, v9))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtasasdt0(v12, v11) = v10) | ~ (sdtasasdt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtpldt1(v12, v11) = v10) | ~ (sdtpldt1(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtasdt0(v12, v11) = v10) | ~ (sdtasdt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtpldt0(v12, v11) = v10) | ~ (sdtpldt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasasdt0(v9, v10) = v11) | ~ aElementOf0(v12, v11) | ~ aSet0(v10) | ~ aSet0(v9) | aElementOf0(v12, v10)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasasdt0(v9, v10) = v11) | ~ aElementOf0(v12, v11) | ~ aSet0(v10) | ~ aSet0(v9) | aElementOf0(v12, v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasasdt0(v9, v10) = v11) | ~ aElementOf0(v12, v10) | ~ aElementOf0(v12, v9) | ~ aSet0(v10) | ~ aSet0(v9) | aElementOf0(v12, v11)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtpldt1(v9, v10) = v11) | ~ aElementOf0(v12, v11) | ~ aSet0(v10) | ~ aSet0(v9) | ? [v13] : ? [v14] : (sdtpldt0(v13, v14) = v12 & aElementOf0(v14, v10) & aElementOf0(v13, v9))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasdt0(v11, v10) = v12) | ~ aIdeal0(v9) | ~ aElementOf0(v10, v9) | ~ aElement0(v11) | aElementOf0(v12, v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtpldt0(v10, v11) = v12) | ~ aIdeal0(v9) | ~ aElementOf0(v11, v9) | ~ aElementOf0(v10, v9) | aElementOf0(v12, v9)) & ! [v9] : ! [v10] : ! [v11] : (v11 = sz00 | ~ (sdtpldt0(v10, v9) = v11) | ~ (smndt0(v9) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : ! [v11] : (v11 = sz00 | ~ (sdtpldt0(v9, v10) = v11) | ~ (smndt0(v9) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (smndt0(v11) = v10) | ~ (smndt0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) | ~ aIdeal0(v10) | ~ aIdeal0(v9) | aIdeal0(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) | ~ aSet0(v10) | ~ aSet0(v9) | aSet0(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt1(v9, v10) = v11) | ~ aIdeal0(v10) | ~ aIdeal0(v9) | aIdeal0(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt1(v9, v10) = v11) | ~ aSet0(v10) | ~ aSet0(v9) | aSet0(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasdt0(v10, v9) = v11) | ~ aElementOf0(v9, xJ) | ~ aElement0(v10) | aElementOf0(v11, xJ)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasdt0(v10, v9) = v11) | ~ aElementOf0(v9, xI) | ~ aElement0(v10) | aElementOf0(v11, xI)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasdt0(v10, v9) = v11) | ~ aElement0(v10) | ~ aElement0(v9) | sdtasdt0(v9, v10) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) | ~ aElement0(v10) | ~ aElement0(v9) | sdtasdt0(v10, v9) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) | ~ aElement0(v10) | ~ aElement0(v9) | aElement0(v11)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) | ~ (smndt0(v9) = v10) | ~ aElement0(v9) | sdtpldt0(v9, v10) = sz00) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) | ~ aElement0(v10) | ~ aElement0(v9) | sdtpldt0(v9, v10) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) | ~ (smndt0(v9) = v10) | ~ aElement0(v9) | sdtpldt0(v10, v9) = sz00) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) | ~ aElementOf0(v10, xJ) | ~ aElementOf0(v9, xJ) | aElementOf0(v11, xJ)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) | ~ aElementOf0(v10, xI) | ~ aElementOf0(v9, xI) | aElementOf0(v11, xI)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) | ~ aElement0(v10) | ~ aElement0(v9) | sdtpldt0(v10, v9) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) | ~ aElement0(v10) | ~ aElement0(v9) | aElement0(v11)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (sdtasdt0(v9, sz10) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (sdtasdt0(sz10, v9) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (sdtpldt0(v9, sz00) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : (v10 = v9 | ~ (sdtpldt0(sz00, v9) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : (v10 = v9 | ~ aSet0(v10) | ~ aSet0(v9) | ? [v11] : ((aElementOf0(v11, v10) & ~ aElementOf0(v11, v9)) | (aElementOf0(v11, v9) & ~ aElementOf0(v11, v10)))) & ! [v9] : ! [v10] : (v10 = sz00 | v9 = sz00 | ~ (sdtasdt0(v9, v10) = sz00) | ~ aElement0(v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : (v10 = sz00 | ~ (sdtasdt0(v9, sz00) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : (v10 = sz00 | ~ (sdtasdt0(sz00, v9) = v10) | ~ aElement0(v9)) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(v9, v0) = v10) | ~ aElement0(v9) | (sdtasdt0(v0, v9) = v10 & smndt0(v9) = v10)) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(v9, sz10) = v10) | ~ aElement0(v9) | sdtasdt0(sz10, v9) = v9) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(v9, sz00) = v10) | ~ aElement0(v9) | sdtasdt0(sz00, v9) = sz00) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(v0, v9) = v10) | ~ aElement0(v9) | (sdtasdt0(v9, v0) = v10 & smndt0(v9) = v10)) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(sz10, v9) = v10) | ~ aElement0(v9) | sdtasdt0(v9, sz10) = v9) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(sz00, v9) = v10) | ~ aElement0(v9) | sdtasdt0(v9, sz00) = sz00) & ! [v9] : ! [v10] : ( ~ (sdtpldt0(v9, sz00) = v10) | ~ aElement0(v9) | sdtpldt0(sz00, v9) = v9) & ! [v9] : ! [v10] : ( ~ (sdtpldt0(sz00, v9) = v10) | ~ aElement0(v9) | sdtpldt0(v9, sz00) = v9) & ! [v9] : ! [v10] : ( ~ (smndt0(v9) = v10) | ~ aElement0(v9) | aElement0(v10)) & ! [v9] : ! [v10] : ( ~ (smndt0(v9) = v10) | ~ aElement0(v9) | (sdtasdt0(v9, v0) = v10 & sdtasdt0(v0, v9) = v10)) & ! [v9] : ! [v10] : ( ~ aElementOf0(v10, v9) | ~ aSet0(v9) | aElement0(v10)) & ! [v9] : ( ~ aIdeal0(v9) | aSet0(v9)) & ! [v9] : ( ~ aSet0(v9) | aIdeal0(v9) | ? [v10] : ? [v11] : ? [v12] : (aElementOf0(v10, v9) & ((sdtasdt0(v11, v10) = v12 & aElement0(v11) & ~ aElementOf0(v12, v9)) | (sdtpldt0(v10, v11) = v12 & aElementOf0(v11, v9) & ~ aElementOf0(v12, v9))))) & ! [v9] : ( ~ aElement0(v9) | aElementOf0(v9, v1)) & ! [v9] : ( ~ aElement0(v9) | ? [v10] : ? [v11] : (sdtpldt0(v10, v11) = v9 & aElementOf0(v11, xJ) & aElementOf0(v10, xI))))
% 23.36/7.62 | 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 yields:
% 23.36/7.62 | (1) ~ (sz10 = sz00) & sdtpldt1(xI, xJ) = all_0_7_7 & sdtasdt0(xy, xa) = all_0_6_6 & sdtasdt0(xx, all_0_1_1) = all_0_0_0 & sdtasdt0(xx, xb) = all_0_5_5 & sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2 & sdtpldt0(all_0_6_6, all_0_2_2) = all_0_3_3 & sdtpldt0(all_0_6_6, all_0_5_5) = xw & sdtpldt0(xw, all_0_4_4) = all_0_3_3 & sdtpldt0(xb, all_0_8_8) = all_0_1_1 & sdtpldt0(xa, xb) = sz10 & smndt0(xx) = all_0_4_4 & smndt0(sz10) = all_0_8_8 & aIdeal0(xJ) & aIdeal0(xI) & aElementOf0(xb, xJ) & aElementOf0(xa, xI) & aSet0(xJ) & aSet0(xI) & aElement0(xy) & aElement0(xx) & aElement0(sz10) & aElement0(sz00) & ~ aElementOf0(all_0_0_0, xI) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (sdtpldt0(v4, v5) = v3) | ~ aElementOf0(v5, v1) | ~ aElementOf0(v4, v0) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ~ sdteqdtlpzmzozddtrp0(v0, v1, v2) | ~ aIdeal0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | aElementOf0(v4, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ~ aIdeal0(v2) | ~ aElementOf0(v4, v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdteqdtlpzmzozddtrp0(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtasasdt0(v0, v1) = v2) | ~ aSet0(v3) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4] : (( ~ aElementOf0(v4, v3) | ~ aElementOf0(v4, v1) | ~ aElementOf0(v4, v0)) & (aElementOf0(v4, v3) | (aElementOf0(v4, v1) & aElementOf0(v4, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ aSet0(v3) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ aElementOf0(v4, v3) | ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v9) = v4) | ~ aElementOf0(v9, v1) | ~ aElementOf0(v8, v0))) & (aElementOf0(v4, v3) | (v7 = v4 & sdtpldt0(v5, v6) = v4 & aElementOf0(v6, v1) & aElementOf0(v5, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(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] : ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aElementOf0(v3, v1) | ~ aElementOf0(v3, v0) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4] : ? [v5] : (sdtpldt0(v4, v5) = v3 & aElementOf0(v5, v1) & aElementOf0(v4, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasdt0(v2, v1) = v3) | ~ aIdeal0(v0) | ~ aElementOf0(v1, v0) | ~ aElement0(v2) | aElementOf0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ aIdeal0(v0) | ~ aElementOf0(v2, v0) | ~ aElementOf0(v1, v0) | aElementOf0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz00 | ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz00 | ~ (sdtpldt0(v0, v1) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aIdeal0(v1) | ~ aIdeal0(v0) | aIdeal0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aSet0(v1) | ~ aSet0(v0) | aSet0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ aIdeal0(v1) | ~ aIdeal0(v0) | aIdeal0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ aSet0(v1) | ~ aSet0(v0) | aSet0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aElementOf0(v0, xJ) | ~ aElement0(v1) | aElementOf0(v2, xJ)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aElementOf0(v0, xI) | ~ aElement0(v1) | aElementOf0(v2, xI)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtasdt0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtasdt0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | aElement0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0) | sdtpldt0(v0, v1) = sz00) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtpldt0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0) | sdtpldt0(v1, v0) = sz00) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v1, xJ) | ~ aElementOf0(v0, xJ) | aElementOf0(v2, xJ)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v1, xI) | ~ aElementOf0(v0, xI) | aElementOf0(v2, xI)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtpldt0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | aElement0(v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(v0, sz10) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(sz10, v0) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(v0, sz00) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz00, v0) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ aSet0(v1) | ~ aSet0(v0) | ? [v2] : ((aElementOf0(v2, v1) & ~ aElementOf0(v2, v0)) | (aElementOf0(v2, v0) & ~ aElementOf0(v2, v1)))) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ~ aElement0(v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(v0, sz00) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(sz00, v0) = v1) | ~ aElement0(v0)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, all_0_8_8) = v1) | ~ aElement0(v0) | (sdtasdt0(all_0_8_8, v0) = v1 & smndt0(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ~ aElement0(v0) | sdtasdt0(sz10, v0) = v0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ~ aElement0(v0) | sdtasdt0(sz00, v0) = sz00) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_8_8, v0) = v1) | ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & smndt0(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ~ aElement0(v0) | sdtasdt0(v0, sz10) = v0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ aElement0(v0) | sdtasdt0(v0, sz00) = sz00) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ~ aElement0(v0) | sdtpldt0(sz00, v0) = v0) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ aElement0(v0) | sdtpldt0(v0, sz00) = v0) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aElement0(v0) | aElement0(v1)) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & sdtasdt0(all_0_8_8, v0) = v1)) & ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1)) & ! [v0] : ( ~ aIdeal0(v0) | aSet0(v0)) & ! [v0] : ( ~ aSet0(v0) | aIdeal0(v0) | ? [v1] : ? [v2] : ? [v3] : (aElementOf0(v1, v0) & ((sdtasdt0(v2, v1) = v3 & aElement0(v2) & ~ aElementOf0(v3, v0)) | (sdtpldt0(v1, v2) = v3 & aElementOf0(v2, v0) & ~ aElementOf0(v3, v0))))) & ! [v0] : ( ~ aElement0(v0) | aElementOf0(v0, all_0_7_7)) & ! [v0] : ( ~ aElement0(v0) | ? [v1] : ? [v2] : (sdtpldt0(v1, v2) = v0 & aElementOf0(v2, xJ) & aElementOf0(v1, xI)))
% 23.63/7.63 |
% 23.63/7.63 | Applying alpha-rule on (1) yields:
% 23.63/7.63 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v1, xJ) | ~ aElementOf0(v0, xJ) | aElementOf0(v2, xJ))
% 23.63/7.63 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 23.63/7.63 | (4) aIdeal0(xI)
% 23.63/7.63 | (5) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(v0, sz00) = v1) | ~ aElement0(v0))
% 23.63/7.64 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz00, v0) = v1) | ~ aElement0(v0))
% 23.63/7.64 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4))
% 23.63/7.64 | (8) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ~ aElement0(v0) | sdtasdt0(sz00, v0) = sz00)
% 23.63/7.64 | (9) aElement0(sz00)
% 23.63/7.64 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4] : ? [v5] : (sdtpldt0(v4, v5) = v3 & aElementOf0(v5, v1) & aElementOf0(v4, v0)))
% 23.63/7.64 | (11) ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_8_8, v0) = v1) | ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & smndt0(v0) = v1))
% 23.63/7.64 | (12) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, all_0_8_8) = v1) | ~ aElement0(v0) | (sdtasdt0(all_0_8_8, v0) = v1 & smndt0(v0) = v1))
% 23.63/7.64 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | aElement0(v2))
% 23.63/7.64 | (14) sdtpldt0(xw, all_0_4_4) = all_0_3_3
% 23.63/7.64 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5))
% 23.63/7.64 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 23.63/7.64 | (17) ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1))
% 23.63/7.64 | (18) sdtasdt0(xx, all_0_1_1) = all_0_0_0
% 23.63/7.64 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | aElement0(v2))
% 23.63/7.64 | (20) ! [v0] : ( ~ aSet0(v0) | aIdeal0(v0) | ? [v1] : ? [v2] : ? [v3] : (aElementOf0(v1, v0) & ((sdtasdt0(v2, v1) = v3 & aElement0(v2) & ~ aElementOf0(v3, v0)) | (sdtpldt0(v1, v2) = v3 & aElementOf0(v2, v0) & ~ aElementOf0(v3, v0)))))
% 23.63/7.64 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtpldt0(v1, v0) = v2)
% 23.63/7.64 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 23.63/7.64 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v0))
% 23.63/7.64 | (24) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(sz10, v0) = v1) | ~ aElement0(v0))
% 23.63/7.64 | (25) aElementOf0(xb, xJ)
% 23.63/7.64 | (26) aIdeal0(xJ)
% 23.63/7.64 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5))
% 23.63/7.64 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtasdt0(v0, v1) = v2)
% 23.63/7.64 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ aSet0(v3) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ aElementOf0(v4, v3) | ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v9) = v4) | ~ aElementOf0(v9, v1) | ~ aElementOf0(v8, v0))) & (aElementOf0(v4, v3) | (v7 = v4 & sdtpldt0(v5, v6) = v4 & aElementOf0(v6, v1) & aElementOf0(v5, v0)))))
% 23.63/7.64 | (30) ~ (sz10 = sz00)
% 23.63/7.64 | (31) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ aElement0(v0) | sdtasdt0(v0, sz00) = sz00)
% 23.63/7.64 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v1))
% 23.63/7.64 | (33) aElement0(xx)
% 23.63/7.64 | (34) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(v0, sz00) = v1) | ~ aElement0(v0))
% 23.63/7.64 | (35) aElement0(xy)
% 23.63/7.64 | (36) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ~ aElement0(v1) | ~ aElement0(v0))
% 23.63/7.64 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aElementOf0(v0, xI) | ~ aElement0(v1) | aElementOf0(v2, xI))
% 23.63/7.64 | (38) ! [v0] : ! [v1] : ! [v2] : (v2 = sz00 | ~ (sdtpldt0(v0, v1) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0))
% 23.63/7.64 | (39) sdtpldt1(xI, xJ) = all_0_7_7
% 23.63/7.64 | (40) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ aElement0(v0) | sdtpldt0(v0, sz00) = v0)
% 23.63/7.64 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 23.63/7.65 | (42) aElementOf0(xa, xI)
% 23.63/7.65 | (43) sdtpldt0(all_0_6_6, all_0_2_2) = all_0_3_3
% 23.63/7.65 | (44) aSet0(xJ)
% 23.63/7.65 | (45) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(sz00, v0) = v1) | ~ aElement0(v0))
% 23.63/7.65 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aSet0(v1) | ~ aSet0(v0) | aSet0(v2))
% 23.63/7.65 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (sdtpldt0(v4, v5) = v3) | ~ aElementOf0(v5, v1) | ~ aElementOf0(v4, v0) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2))
% 23.63/7.65 | (48) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ~ aElement0(v0) | sdtasdt0(sz10, v0) = v0)
% 23.63/7.65 | (49) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aElement0(v0) | aElement0(v1))
% 23.63/7.65 | (50) aElement0(sz10)
% 23.63/7.65 | (51) sdtpldt0(xb, all_0_8_8) = all_0_1_1
% 23.63/7.65 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aIdeal0(v1) | ~ aIdeal0(v0) | aIdeal0(v2))
% 23.63/7.65 | (53) ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ~ aElement0(v0) | sdtpldt0(sz00, v0) = v0)
% 23.63/7.65 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ aSet0(v1) | ~ aSet0(v0) | aSet0(v2))
% 23.63/7.65 | (55) smndt0(xx) = all_0_4_4
% 23.63/7.65 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v1, xI) | ~ aElementOf0(v0, xI) | aElementOf0(v2, xI))
% 23.63/7.65 | (57) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2
% 23.63/7.65 | (58) ! [v0] : ! [v1] : ! [v2] : (v2 = sz00 | ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0))
% 23.63/7.65 | (59) aSet0(xI)
% 23.63/7.65 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0) | sdtpldt0(v1, v0) = sz00)
% 23.63/7.65 | (61) sdtasdt0(xx, xb) = all_0_5_5
% 23.63/7.65 | (62) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ~ aElement0(v0) | sdtasdt0(v0, sz10) = v0)
% 23.63/7.65 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5))
% 23.63/7.65 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 23.63/7.65 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtasasdt0(v0, v1) = v2) | ~ aSet0(v3) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4] : (( ~ aElementOf0(v4, v3) | ~ aElementOf0(v4, v1) | ~ aElementOf0(v4, v0)) & (aElementOf0(v4, v3) | (aElementOf0(v4, v1) & aElementOf0(v4, v0)))))
% 23.63/7.65 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aElementOf0(v0, xJ) | ~ aElement0(v1) | aElementOf0(v2, xJ))
% 23.63/7.65 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ aIdeal0(v0) | ~ aElementOf0(v2, v0) | ~ aElementOf0(v1, v0) | aElementOf0(v3, v0))
% 23.63/7.65 | (68) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtasdt0(v1, v0) = v2)
% 23.63/7.65 | (69) ! [v0] : ( ~ aIdeal0(v0) | aSet0(v0))
% 23.63/7.65 | (70) ! [v0] : ( ~ aElement0(v0) | aElementOf0(v0, all_0_7_7))
% 23.63/7.65 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ~ aIdeal0(v2) | ~ aElementOf0(v4, v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdteqdtlpzmzozddtrp0(v0, v1, v2))
% 23.63/7.65 | (72) sdtpldt0(all_0_6_6, all_0_5_5) = xw
% 23.63/7.65 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4))
% 23.63/7.65 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4))
% 23.63/7.65 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ~ aElement0(v0) | sdtpldt0(v0, v1) = sz00)
% 23.63/7.65 | (76) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & sdtasdt0(all_0_8_8, v0) = v1))
% 23.63/7.65 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ aElement0(v1) | ~ aElement0(v0) | sdtpldt0(v0, v1) = v2)
% 23.63/7.65 | (78) ~ aElementOf0(all_0_0_0, xI)
% 23.63/7.65 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(v3, v2) = v0))
% 23.63/7.66 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasdt0(v2, v1) = v3) | ~ aIdeal0(v0) | ~ aElementOf0(v1, v0) | ~ aElement0(v2) | aElementOf0(v3, v0))
% 23.63/7.66 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aElementOf0(v3, v1) | ~ aElementOf0(v3, v0) | ~ aSet0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2))
% 23.63/7.66 | (82) sdtasdt0(xy, xa) = all_0_6_6
% 23.63/7.66 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ~ sdteqdtlpzmzozddtrp0(v0, v1, v2) | ~ aIdeal0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | aElementOf0(v4, v2))
% 23.80/7.66 | (84) sdtpldt0(xa, xb) = sz10
% 23.80/7.66 | (85) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(v0, sz10) = v1) | ~ aElement0(v0))
% 23.80/7.66 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 23.80/7.66 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ aIdeal0(v1) | ~ aIdeal0(v0) | aIdeal0(v2))
% 23.80/7.66 | (88) ! [v0] : ! [v1] : (v1 = v0 | ~ aSet0(v1) | ~ aSet0(v0) | ? [v2] : ((aElementOf0(v2, v1) & ~ aElementOf0(v2, v0)) | (aElementOf0(v2, v0) & ~ aElementOf0(v2, v1))))
% 23.80/7.66 | (89) smndt0(sz10) = all_0_8_8
% 23.80/7.66 | (90) ! [v0] : ( ~ aElement0(v0) | ? [v1] : ? [v2] : (sdtpldt0(v1, v2) = v0 & aElementOf0(v2, xJ) & aElementOf0(v1, xI)))
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (17) with xb, xJ and discharging atoms aElementOf0(xb, xJ), aSet0(xJ), yields:
% 23.80/7.66 | (91) aElement0(xb)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (17) with xa, xI and discharging atoms aElementOf0(xa, xI), aSet0(xI), yields:
% 23.80/7.66 | (92) aElement0(xa)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (49) with all_0_4_4, xx and discharging atoms smndt0(xx) = all_0_4_4, aElement0(xx), yields:
% 23.80/7.66 | (93) aElement0(all_0_4_4)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (76) with all_0_4_4, xx and discharging atoms smndt0(xx) = all_0_4_4, aElement0(xx), yields:
% 23.80/7.66 | (94) sdtasdt0(all_0_8_8, xx) = all_0_4_4 & sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 23.80/7.66 |
% 23.80/7.66 | Applying alpha-rule on (94) yields:
% 23.80/7.66 | (95) sdtasdt0(all_0_8_8, xx) = all_0_4_4
% 23.80/7.66 | (96) sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (70) with xx and discharging atoms aElement0(xx), yields:
% 23.80/7.66 | (97) aElementOf0(xx, all_0_7_7)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (90) with xx and discharging atoms aElement0(xx), yields:
% 23.80/7.66 | (98) ? [v0] : ? [v1] : (sdtpldt0(v0, v1) = xx & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (49) with all_0_8_8, sz10 and discharging atoms smndt0(sz10) = all_0_8_8, aElement0(sz10), yields:
% 23.80/7.66 | (99) aElement0(all_0_8_8)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (76) with all_0_8_8, sz10 and discharging atoms smndt0(sz10) = all_0_8_8, aElement0(sz10), yields:
% 23.80/7.66 | (100) sdtasdt0(all_0_8_8, sz10) = all_0_8_8 & sdtasdt0(sz10, all_0_8_8) = all_0_8_8
% 23.80/7.66 |
% 23.80/7.66 | Applying alpha-rule on (100) yields:
% 23.80/7.66 | (101) sdtasdt0(all_0_8_8, sz10) = all_0_8_8
% 23.80/7.66 | (102) sdtasdt0(sz10, all_0_8_8) = all_0_8_8
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (90) with sz10 and discharging atoms aElement0(sz10), yields:
% 23.80/7.66 | (103) ? [v0] : ? [v1] : (sdtpldt0(v0, v1) = sz10 & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 23.80/7.66 |
% 23.80/7.66 | Instantiating (98) with all_9_0_9, all_9_1_10 yields:
% 23.80/7.66 | (104) sdtpldt0(all_9_1_10, all_9_0_9) = xx & aElementOf0(all_9_0_9, xJ) & aElementOf0(all_9_1_10, xI)
% 23.80/7.66 |
% 23.80/7.66 | Applying alpha-rule on (104) yields:
% 23.80/7.66 | (105) sdtpldt0(all_9_1_10, all_9_0_9) = xx
% 23.80/7.66 | (106) aElementOf0(all_9_0_9, xJ)
% 23.80/7.66 | (107) aElementOf0(all_9_1_10, xI)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating (103) with all_15_0_15, all_15_1_16 yields:
% 23.80/7.66 | (108) sdtpldt0(all_15_1_16, all_15_0_15) = sz10 & aElementOf0(all_15_0_15, xJ) & aElementOf0(all_15_1_16, xI)
% 23.80/7.66 |
% 23.80/7.66 | Applying alpha-rule on (108) yields:
% 23.80/7.66 | (109) sdtpldt0(all_15_1_16, all_15_0_15) = sz10
% 23.80/7.66 | (110) aElementOf0(all_15_0_15, xJ)
% 23.80/7.66 | (111) aElementOf0(all_15_1_16, xI)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (17) with all_15_0_15, xJ and discharging atoms aElementOf0(all_15_0_15, xJ), aSet0(xJ), yields:
% 23.80/7.66 | (112) aElement0(all_15_0_15)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (17) with all_15_1_16, xI and discharging atoms aElementOf0(all_15_1_16, xI), aSet0(xI), yields:
% 23.80/7.66 | (113) aElement0(all_15_1_16)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (17) with all_9_0_9, xJ and discharging atoms aElementOf0(all_9_0_9, xJ), aSet0(xJ), yields:
% 23.80/7.66 | (114) aElement0(all_9_0_9)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (17) with all_9_1_10, xI and discharging atoms aElementOf0(all_9_1_10, xI), aSet0(xI), yields:
% 23.80/7.66 | (115) aElement0(all_9_1_10)
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (10) with xx, all_0_7_7, xJ, xI and discharging atoms sdtpldt1(xI, xJ) = all_0_7_7, aElementOf0(xx, all_0_7_7), aSet0(xJ), aSet0(xI), yields:
% 23.80/7.66 | (98) ? [v0] : ? [v1] : (sdtpldt0(v0, v1) = xx & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 23.80/7.66 |
% 23.80/7.66 | Instantiating formula (7) with all_0_4_4, all_0_8_8, xx, sz10, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_0_4_4, sdtasdt0(all_0_8_8, sz10) = all_0_8_8, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 23.80/7.67 | (117) ? [v0] : (sdtasdt0(all_0_8_8, v0) = all_0_4_4 & sdtasdt0(sz10, xx) = v0)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (7) with all_0_4_4, all_0_8_8, xx, all_0_8_8, sz10 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_0_4_4, sdtasdt0(sz10, all_0_8_8) = all_0_8_8, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 23.80/7.67 | (118) ? [v0] : (sdtasdt0(all_0_8_8, xx) = v0 & sdtasdt0(sz10, v0) = all_0_4_4)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (15) with all_0_4_4, all_0_8_8, sz10, all_0_8_8, xx and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_0_8_8, sdtasdt0(xx, all_0_8_8) = all_0_4_4, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 23.80/7.67 | (119) ? [v0] : (sdtasdt0(v0, sz10) = all_0_4_4 & sdtasdt0(xx, all_0_8_8) = v0)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (15) with all_0_4_4, all_0_8_8, all_0_8_8, sz10, xx and discharging atoms sdtasdt0(xx, all_0_8_8) = all_0_4_4, sdtasdt0(sz10, all_0_8_8) = all_0_8_8, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 23.80/7.67 | (120) ? [v0] : (sdtasdt0(v0, all_0_8_8) = all_0_4_4 & sdtasdt0(xx, sz10) = v0)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (90) with all_0_8_8 and discharging atoms aElement0(all_0_8_8), yields:
% 23.80/7.67 | (121) ? [v0] : ? [v1] : (sdtpldt0(v0, v1) = all_0_8_8 & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (74) with all_0_0_0, all_0_1_1, all_0_8_8, xb, xx and discharging atoms sdtasdt0(xx, all_0_1_1) = all_0_0_0, sdtpldt0(xb, all_0_8_8) = all_0_1_1, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 23.80/7.67 | (122) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xx) = v2 & sdtasdt0(all_0_8_8, xx) = v4 & sdtasdt0(xb, xx) = v3 & sdtasdt0(xx, all_0_8_8) = v1 & sdtasdt0(xx, xb) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_0_0)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (28) with all_0_5_5, xx, xb and discharging atoms sdtasdt0(xx, xb) = all_0_5_5, aElement0(xb), aElement0(xx), yields:
% 23.80/7.67 | (123) sdtasdt0(xb, xx) = all_0_5_5
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (64) with all_0_2_2, all_0_4_4, all_0_5_5, all_0_8_8, xb, xx and discharging atoms sdtasdt0(xx, all_0_8_8) = all_0_4_4, sdtasdt0(xx, xb) = all_0_5_5, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 23.80/7.67 | (124) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v0, xx) = v1 & sdtasdt0(all_0_8_8, xx) = v3 & sdtasdt0(xb, xx) = v2 & sdtasdt0(xx, v0) = all_0_2_2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xb, all_0_8_8) = v0)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (77) with all_0_1_1, xb, all_0_8_8 and discharging atoms sdtpldt0(xb, all_0_8_8) = all_0_1_1, aElement0(all_0_8_8), aElement0(xb), yields:
% 23.80/7.67 | (125) sdtpldt0(all_0_8_8, xb) = all_0_1_1
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (13) with all_0_1_1, all_0_8_8, xb and discharging atoms sdtpldt0(xb, all_0_8_8) = all_0_1_1, aElement0(all_0_8_8), aElement0(xb), yields:
% 23.80/7.67 | (126) aElement0(all_0_1_1)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (74) with all_0_8_8, sz10, xb, xa, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_0_8_8, sdtpldt0(xa, xb) = sz10, aElement0(all_0_8_8), aElement0(xb), aElement0(xa), yields:
% 23.80/7.67 | (127) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_8_8, xb) = v1 & sdtasdt0(all_0_8_8, xa) = v0 & sdtasdt0(xb, all_0_8_8) = v4 & sdtasdt0(xa, all_0_8_8) = v3 & sdtasdt0(sz10, all_0_8_8) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_8_8)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (27) with all_0_8_8, sz10, xb, xa, all_0_8_8 and discharging atoms sdtasdt0(sz10, all_0_8_8) = all_0_8_8, sdtpldt0(xa, xb) = sz10, aElement0(all_0_8_8), aElement0(xb), aElement0(xa), yields:
% 23.80/7.67 | (128) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_8_8, xb) = v2 & sdtasdt0(all_0_8_8, xa) = v1 & sdtasdt0(all_0_8_8, sz10) = v0 & sdtasdt0(xb, all_0_8_8) = v4 & sdtasdt0(xa, all_0_8_8) = v3 & sdtpldt0(v3, v4) = all_0_8_8 & sdtpldt0(v1, v2) = v0)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (77) with sz10, xa, xb and discharging atoms sdtpldt0(xa, xb) = sz10, aElement0(xb), aElement0(xa), yields:
% 23.80/7.67 | (129) sdtpldt0(xb, xa) = sz10
% 23.80/7.67 |
% 23.80/7.67 | Instantiating formula (90) with xa and discharging atoms aElement0(xa), yields:
% 23.80/7.67 | (130) ? [v0] : ? [v1] : (sdtpldt0(v0, v1) = xa & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 23.80/7.67 |
% 23.80/7.67 | Instantiating (98) with all_27_0_21, all_27_1_22 yields:
% 23.80/7.67 | (131) sdtpldt0(all_27_1_22, all_27_0_21) = xx & aElementOf0(all_27_0_21, xJ) & aElementOf0(all_27_1_22, xI)
% 23.80/7.67 |
% 23.80/7.67 | Applying alpha-rule on (131) yields:
% 23.80/7.67 | (132) sdtpldt0(all_27_1_22, all_27_0_21) = xx
% 23.80/7.67 | (133) aElementOf0(all_27_0_21, xJ)
% 23.80/7.67 | (134) aElementOf0(all_27_1_22, xI)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating (130) with all_29_0_23, all_29_1_24 yields:
% 23.80/7.67 | (135) sdtpldt0(all_29_1_24, all_29_0_23) = xa & aElementOf0(all_29_0_23, xJ) & aElementOf0(all_29_1_24, xI)
% 23.80/7.67 |
% 23.80/7.67 | Applying alpha-rule on (135) yields:
% 23.80/7.67 | (136) sdtpldt0(all_29_1_24, all_29_0_23) = xa
% 23.80/7.67 | (137) aElementOf0(all_29_0_23, xJ)
% 23.80/7.67 | (138) aElementOf0(all_29_1_24, xI)
% 23.80/7.67 |
% 23.80/7.67 | Instantiating (128) with all_31_0_25, all_31_1_26, all_31_2_27, all_31_3_28, all_31_4_29 yields:
% 23.80/7.67 | (139) sdtasdt0(all_0_8_8, xb) = all_31_2_27 & sdtasdt0(all_0_8_8, xa) = all_31_3_28 & sdtasdt0(all_0_8_8, sz10) = all_31_4_29 & sdtasdt0(xb, all_0_8_8) = all_31_0_25 & sdtasdt0(xa, all_0_8_8) = all_31_1_26 & sdtpldt0(all_31_1_26, all_31_0_25) = all_0_8_8 & sdtpldt0(all_31_3_28, all_31_2_27) = all_31_4_29
% 23.80/7.67 |
% 23.80/7.67 | Applying alpha-rule on (139) yields:
% 23.80/7.67 | (140) sdtasdt0(all_0_8_8, sz10) = all_31_4_29
% 23.80/7.67 | (141) sdtpldt0(all_31_3_28, all_31_2_27) = all_31_4_29
% 23.80/7.67 | (142) sdtasdt0(xb, all_0_8_8) = all_31_0_25
% 23.80/7.67 | (143) sdtasdt0(all_0_8_8, xa) = all_31_3_28
% 23.80/7.67 | (144) sdtasdt0(all_0_8_8, xb) = all_31_2_27
% 23.80/7.67 | (145) sdtpldt0(all_31_1_26, all_31_0_25) = all_0_8_8
% 23.80/7.67 | (146) sdtasdt0(xa, all_0_8_8) = all_31_1_26
% 23.80/7.67 |
% 23.80/7.67 | Instantiating (127) with all_33_0_30, all_33_1_31, all_33_2_32, all_33_3_33, all_33_4_34 yields:
% 23.80/7.67 | (147) sdtasdt0(all_0_8_8, xb) = all_33_3_33 & sdtasdt0(all_0_8_8, xa) = all_33_4_34 & sdtasdt0(xb, all_0_8_8) = all_33_0_30 & sdtasdt0(xa, all_0_8_8) = all_33_1_31 & sdtasdt0(sz10, all_0_8_8) = all_33_2_32 & sdtpldt0(all_33_1_31, all_33_0_30) = all_33_2_32 & sdtpldt0(all_33_4_34, all_33_3_33) = all_0_8_8
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (147) yields:
% 23.80/7.68 | (148) sdtasdt0(xa, all_0_8_8) = all_33_1_31
% 23.80/7.68 | (149) sdtasdt0(xb, all_0_8_8) = all_33_0_30
% 23.80/7.68 | (150) sdtasdt0(sz10, all_0_8_8) = all_33_2_32
% 23.80/7.68 | (151) sdtpldt0(all_33_4_34, all_33_3_33) = all_0_8_8
% 23.80/7.68 | (152) sdtasdt0(all_0_8_8, xb) = all_33_3_33
% 23.80/7.68 | (153) sdtasdt0(all_0_8_8, xa) = all_33_4_34
% 23.80/7.68 | (154) sdtpldt0(all_33_1_31, all_33_0_30) = all_33_2_32
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (122) with all_37_0_37, all_37_1_38, all_37_2_39, all_37_3_40, all_37_4_41 yields:
% 23.80/7.68 | (155) sdtasdt0(all_0_1_1, xx) = all_37_2_39 & sdtasdt0(all_0_8_8, xx) = all_37_0_37 & sdtasdt0(xb, xx) = all_37_1_38 & sdtasdt0(xx, all_0_8_8) = all_37_3_40 & sdtasdt0(xx, xb) = all_37_4_41 & sdtpldt0(all_37_1_38, all_37_0_37) = all_37_2_39 & sdtpldt0(all_37_4_41, all_37_3_40) = all_0_0_0
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (155) yields:
% 23.80/7.68 | (156) sdtpldt0(all_37_4_41, all_37_3_40) = all_0_0_0
% 23.80/7.68 | (157) sdtasdt0(xx, xb) = all_37_4_41
% 23.80/7.68 | (158) sdtasdt0(all_0_8_8, xx) = all_37_0_37
% 23.80/7.68 | (159) sdtasdt0(all_0_1_1, xx) = all_37_2_39
% 23.80/7.68 | (160) sdtasdt0(xx, all_0_8_8) = all_37_3_40
% 23.80/7.68 | (161) sdtasdt0(xb, xx) = all_37_1_38
% 23.80/7.68 | (162) sdtpldt0(all_37_1_38, all_37_0_37) = all_37_2_39
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (121) with all_39_0_42, all_39_1_43 yields:
% 23.80/7.68 | (163) sdtpldt0(all_39_1_43, all_39_0_42) = all_0_8_8 & aElementOf0(all_39_0_42, xJ) & aElementOf0(all_39_1_43, xI)
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (163) yields:
% 23.80/7.68 | (164) sdtpldt0(all_39_1_43, all_39_0_42) = all_0_8_8
% 23.80/7.68 | (165) aElementOf0(all_39_0_42, xJ)
% 23.80/7.68 | (166) aElementOf0(all_39_1_43, xI)
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (119) with all_41_0_44 yields:
% 23.80/7.68 | (167) sdtasdt0(all_41_0_44, sz10) = all_0_4_4 & sdtasdt0(xx, all_0_8_8) = all_41_0_44
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (167) yields:
% 23.80/7.68 | (168) sdtasdt0(all_41_0_44, sz10) = all_0_4_4
% 23.80/7.68 | (169) sdtasdt0(xx, all_0_8_8) = all_41_0_44
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (120) with all_45_0_46 yields:
% 23.80/7.68 | (170) sdtasdt0(all_45_0_46, all_0_8_8) = all_0_4_4 & sdtasdt0(xx, sz10) = all_45_0_46
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (170) yields:
% 23.80/7.68 | (171) sdtasdt0(all_45_0_46, all_0_8_8) = all_0_4_4
% 23.80/7.68 | (172) sdtasdt0(xx, sz10) = all_45_0_46
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (118) with all_51_0_50 yields:
% 23.80/7.68 | (173) sdtasdt0(all_0_8_8, xx) = all_51_0_50 & sdtasdt0(sz10, all_51_0_50) = all_0_4_4
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (173) yields:
% 23.80/7.68 | (174) sdtasdt0(all_0_8_8, xx) = all_51_0_50
% 23.80/7.68 | (175) sdtasdt0(sz10, all_51_0_50) = all_0_4_4
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (117) with all_53_0_51 yields:
% 23.80/7.68 | (176) sdtasdt0(all_0_8_8, all_53_0_51) = all_0_4_4 & sdtasdt0(sz10, xx) = all_53_0_51
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (176) yields:
% 23.80/7.68 | (177) sdtasdt0(all_0_8_8, all_53_0_51) = all_0_4_4
% 23.80/7.68 | (178) sdtasdt0(sz10, xx) = all_53_0_51
% 23.80/7.68 |
% 23.80/7.68 | Instantiating (124) with all_55_0_52, all_55_1_53, all_55_2_54, all_55_3_55 yields:
% 23.80/7.68 | (179) sdtasdt0(all_55_3_55, xx) = all_55_2_54 & sdtasdt0(all_0_8_8, xx) = all_55_0_52 & sdtasdt0(xb, xx) = all_55_1_53 & sdtasdt0(xx, all_55_3_55) = all_0_2_2 & sdtpldt0(all_55_1_53, all_55_0_52) = all_55_2_54 & sdtpldt0(xb, all_0_8_8) = all_55_3_55
% 23.80/7.68 |
% 23.80/7.68 | Applying alpha-rule on (179) yields:
% 23.80/7.68 | (180) sdtasdt0(all_55_3_55, xx) = all_55_2_54
% 23.80/7.68 | (181) sdtasdt0(all_0_8_8, xx) = all_55_0_52
% 23.80/7.68 | (182) sdtpldt0(xb, all_0_8_8) = all_55_3_55
% 23.80/7.68 | (183) sdtpldt0(all_55_1_53, all_55_0_52) = all_55_2_54
% 23.80/7.68 | (184) sdtasdt0(xb, xx) = all_55_1_53
% 23.80/7.68 | (185) sdtasdt0(xx, all_55_3_55) = all_0_2_2
% 23.80/7.68 |
% 23.80/7.68 | Instantiating formula (22) with all_0_8_8, xb, all_31_2_27, all_33_3_33 and discharging atoms sdtasdt0(all_0_8_8, xb) = all_33_3_33, sdtasdt0(all_0_8_8, xb) = all_31_2_27, yields:
% 23.80/7.68 | (186) all_33_3_33 = all_31_2_27
% 23.80/7.68 |
% 23.80/7.68 | Instantiating formula (22) with all_0_8_8, xa, all_31_3_28, all_33_4_34 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_33_4_34, sdtasdt0(all_0_8_8, xa) = all_31_3_28, yields:
% 23.80/7.68 | (187) all_33_4_34 = all_31_3_28
% 23.80/7.68 |
% 23.80/7.68 | Instantiating formula (22) with all_0_8_8, xx, all_51_0_50, all_0_4_4 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_51_0_50, sdtasdt0(all_0_8_8, xx) = all_0_4_4, yields:
% 23.80/7.68 | (188) all_51_0_50 = all_0_4_4
% 23.80/7.68 |
% 23.80/7.68 | Instantiating formula (22) with all_0_8_8, xx, all_51_0_50, all_55_0_52 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_55_0_52, sdtasdt0(all_0_8_8, xx) = all_51_0_50, yields:
% 23.80/7.69 | (189) all_55_0_52 = all_51_0_50
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with all_0_8_8, xx, all_37_0_37, all_55_0_52 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_55_0_52, sdtasdt0(all_0_8_8, xx) = all_37_0_37, yields:
% 23.80/7.69 | (190) all_55_0_52 = all_37_0_37
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (85) with all_31_4_29, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_31_4_29, aElement0(all_0_8_8), yields:
% 23.80/7.69 | (191) all_31_4_29 = all_0_8_8
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xb, all_0_8_8, all_31_0_25, all_33_0_30 and discharging atoms sdtasdt0(xb, all_0_8_8) = all_33_0_30, sdtasdt0(xb, all_0_8_8) = all_31_0_25, yields:
% 23.80/7.69 | (192) all_33_0_30 = all_31_0_25
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xb, xx, all_37_1_38, all_55_1_53 and discharging atoms sdtasdt0(xb, xx) = all_55_1_53, sdtasdt0(xb, xx) = all_37_1_38, yields:
% 23.80/7.69 | (193) all_55_1_53 = all_37_1_38
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xb, xx, all_0_5_5, all_55_1_53 and discharging atoms sdtasdt0(xb, xx) = all_55_1_53, sdtasdt0(xb, xx) = all_0_5_5, yields:
% 23.80/7.69 | (194) all_55_1_53 = all_0_5_5
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xa, all_0_8_8, all_31_1_26, all_33_1_31 and discharging atoms sdtasdt0(xa, all_0_8_8) = all_33_1_31, sdtasdt0(xa, all_0_8_8) = all_31_1_26, yields:
% 23.80/7.69 | (195) all_33_1_31 = all_31_1_26
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xx, all_0_8_8, all_41_0_44, all_0_4_4 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_41_0_44, sdtasdt0(xx, all_0_8_8) = all_0_4_4, yields:
% 23.80/7.69 | (196) all_41_0_44 = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xx, all_0_8_8, all_37_3_40, all_41_0_44 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_41_0_44, sdtasdt0(xx, all_0_8_8) = all_37_3_40, yields:
% 23.80/7.69 | (197) all_41_0_44 = all_37_3_40
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (22) with xx, xb, all_37_4_41, all_0_5_5 and discharging atoms sdtasdt0(xx, xb) = all_37_4_41, sdtasdt0(xx, xb) = all_0_5_5, yields:
% 23.80/7.69 | (198) all_37_4_41 = all_0_5_5
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (85) with all_45_0_46, xx and discharging atoms sdtasdt0(xx, sz10) = all_45_0_46, aElement0(xx), yields:
% 23.80/7.69 | (199) all_45_0_46 = xx
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (24) with all_33_2_32, all_0_8_8 and discharging atoms sdtasdt0(sz10, all_0_8_8) = all_33_2_32, aElement0(all_0_8_8), yields:
% 23.80/7.69 | (200) all_33_2_32 = all_0_8_8
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (24) with all_53_0_51, xx and discharging atoms sdtasdt0(sz10, xx) = all_53_0_51, aElement0(xx), yields:
% 23.80/7.69 | (201) all_53_0_51 = xx
% 23.80/7.69 |
% 23.80/7.69 | Instantiating formula (86) with xb, all_0_8_8, all_55_3_55, all_0_1_1 and discharging atoms sdtpldt0(xb, all_0_8_8) = all_55_3_55, sdtpldt0(xb, all_0_8_8) = all_0_1_1, yields:
% 23.80/7.69 | (202) all_55_3_55 = all_0_1_1
% 23.80/7.69 |
% 23.80/7.69 | Combining equations (189,190) yields a new equation:
% 23.80/7.69 | (203) all_51_0_50 = all_37_0_37
% 23.80/7.69 |
% 23.80/7.69 | Simplifying 203 yields:
% 23.80/7.69 | (204) all_51_0_50 = all_37_0_37
% 23.80/7.69 |
% 23.80/7.69 | Combining equations (193,194) yields a new equation:
% 23.80/7.69 | (205) all_37_1_38 = all_0_5_5
% 23.80/7.69 |
% 23.80/7.69 | Simplifying 205 yields:
% 23.80/7.69 | (206) all_37_1_38 = all_0_5_5
% 23.80/7.69 |
% 23.80/7.69 | Combining equations (204,188) yields a new equation:
% 23.80/7.69 | (207) all_37_0_37 = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | Simplifying 207 yields:
% 23.80/7.69 | (208) all_37_0_37 = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | Combining equations (196,197) yields a new equation:
% 23.80/7.69 | (209) all_37_3_40 = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | Combining equations (209,197) yields a new equation:
% 23.80/7.69 | (196) all_41_0_44 = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | Combining equations (208,190) yields a new equation:
% 23.80/7.69 | (211) all_55_0_52 = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | From (196) and (168) follows:
% 23.80/7.69 | (212) sdtasdt0(all_0_4_4, sz10) = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | From (186) and (152) follows:
% 23.80/7.69 | (144) sdtasdt0(all_0_8_8, xb) = all_31_2_27
% 23.80/7.69 |
% 23.80/7.69 | From (187) and (153) follows:
% 23.80/7.69 | (143) sdtasdt0(all_0_8_8, xa) = all_31_3_28
% 23.80/7.69 |
% 23.80/7.69 | From (208) and (158) follows:
% 23.80/7.69 | (95) sdtasdt0(all_0_8_8, xx) = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | From (191) and (140) follows:
% 23.80/7.69 | (101) sdtasdt0(all_0_8_8, sz10) = all_0_8_8
% 23.80/7.69 |
% 23.80/7.69 | From (192) and (149) follows:
% 23.80/7.69 | (142) sdtasdt0(xb, all_0_8_8) = all_31_0_25
% 23.80/7.69 |
% 23.80/7.69 | From (195) and (148) follows:
% 23.80/7.69 | (146) sdtasdt0(xa, all_0_8_8) = all_31_1_26
% 23.80/7.69 |
% 23.80/7.69 | From (209) and (160) follows:
% 23.80/7.69 | (96) sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | From (199) and (172) follows:
% 23.80/7.69 | (220) sdtasdt0(xx, sz10) = xx
% 23.80/7.69 |
% 23.80/7.69 | From (188) and (175) follows:
% 23.80/7.69 | (221) sdtasdt0(sz10, all_0_4_4) = all_0_4_4
% 23.80/7.69 |
% 23.80/7.69 | From (200) and (150) follows:
% 23.80/7.69 | (102) sdtasdt0(sz10, all_0_8_8) = all_0_8_8
% 23.80/7.69 |
% 23.80/7.69 | From (201) and (178) follows:
% 23.80/7.69 | (223) sdtasdt0(sz10, xx) = xx
% 23.80/7.69 |
% 23.80/7.69 | From (194)(211) and (183) follows:
% 23.80/7.70 | (224) sdtpldt0(all_0_5_5, all_0_4_4) = all_55_2_54
% 23.80/7.70 |
% 23.80/7.70 | From (206)(208) and (162) follows:
% 23.80/7.70 | (225) sdtpldt0(all_0_5_5, all_0_4_4) = all_37_2_39
% 23.80/7.70 |
% 23.80/7.70 | From (198)(209) and (156) follows:
% 23.80/7.70 | (226) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_0_0
% 23.80/7.70 |
% 23.80/7.70 | From (195)(192)(200) and (154) follows:
% 23.80/7.70 | (145) sdtpldt0(all_31_1_26, all_31_0_25) = all_0_8_8
% 23.80/7.70 |
% 23.80/7.70 | From (202) and (182) follows:
% 23.80/7.70 | (51) sdtpldt0(xb, all_0_8_8) = all_0_1_1
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (86) with all_0_5_5, all_0_4_4, all_55_2_54, all_0_2_2 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_55_2_54, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 23.80/7.70 | (229) all_55_2_54 = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (86) with all_0_5_5, all_0_4_4, all_37_2_39, all_55_2_54 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_55_2_54, sdtpldt0(all_0_5_5, all_0_4_4) = all_37_2_39, yields:
% 23.80/7.70 | (230) all_55_2_54 = all_37_2_39
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (86) with all_0_5_5, all_0_4_4, all_0_0_0, all_37_2_39 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_37_2_39, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_0_0, yields:
% 23.80/7.70 | (231) all_37_2_39 = all_0_0_0
% 23.80/7.70 |
% 23.80/7.70 | Combining equations (230,229) yields a new equation:
% 23.80/7.70 | (232) all_37_2_39 = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | Simplifying 232 yields:
% 23.80/7.70 | (233) all_37_2_39 = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | Combining equations (233,231) yields a new equation:
% 23.80/7.70 | (234) all_0_0_0 = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | Combining equations (234,231) yields a new equation:
% 23.80/7.70 | (233) all_37_2_39 = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | From (233) and (159) follows:
% 23.80/7.70 | (236) sdtasdt0(all_0_1_1, xx) = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | From (234) and (18) follows:
% 23.80/7.70 | (237) sdtasdt0(xx, all_0_1_1) = all_0_2_2
% 23.80/7.70 |
% 23.80/7.70 | From (234) and (78) follows:
% 23.80/7.70 | (238) ~ aElementOf0(all_0_2_2, xI)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (74) with all_0_4_4, sz10, xb, xa, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_0_4_4, sdtpldt0(xa, xb) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 23.80/7.70 | (239) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_4_4, xb) = v1 & sdtasdt0(all_0_4_4, xa) = v0 & sdtasdt0(xb, all_0_4_4) = v4 & sdtasdt0(xa, all_0_4_4) = v3 & sdtasdt0(sz10, all_0_4_4) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_4_4)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (11) with all_31_2_27, xb and discharging atoms sdtasdt0(all_0_8_8, xb) = all_31_2_27, aElement0(xb), yields:
% 23.80/7.70 | (240) sdtasdt0(xb, all_0_8_8) = all_31_2_27 & smndt0(xb) = all_31_2_27
% 23.80/7.70 |
% 23.80/7.70 | Applying alpha-rule on (240) yields:
% 23.80/7.70 | (241) sdtasdt0(xb, all_0_8_8) = all_31_2_27
% 23.80/7.70 | (242) smndt0(xb) = all_31_2_27
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (7) with all_31_3_28, all_0_8_8, xa, all_0_8_8, sz10 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_31_3_28, sdtasdt0(sz10, all_0_8_8) = all_0_8_8, aElement0(all_0_8_8), aElement0(xa), aElement0(sz10), yields:
% 23.80/7.70 | (243) ? [v0] : (sdtasdt0(all_0_8_8, xa) = v0 & sdtasdt0(sz10, v0) = all_31_3_28)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (15) with all_31_0_25, all_0_8_8, sz10, all_0_8_8, xb and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_0_8_8, sdtasdt0(xb, all_0_8_8) = all_31_0_25, aElement0(all_0_8_8), aElement0(xb), aElement0(sz10), yields:
% 23.80/7.70 | (244) ? [v0] : (sdtasdt0(v0, sz10) = all_31_0_25 & sdtasdt0(xb, all_0_8_8) = v0)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (19) with all_31_0_25, all_0_8_8, xb and discharging atoms sdtasdt0(xb, all_0_8_8) = all_31_0_25, aElement0(all_0_8_8), aElement0(xb), yields:
% 23.80/7.70 | (245) aElement0(all_31_0_25)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (12) with all_31_0_25, xb and discharging atoms sdtasdt0(xb, all_0_8_8) = all_31_0_25, aElement0(xb), yields:
% 23.80/7.70 | (246) sdtasdt0(all_0_8_8, xb) = all_31_0_25 & smndt0(xb) = all_31_0_25
% 23.80/7.70 |
% 23.80/7.70 | Applying alpha-rule on (246) yields:
% 23.80/7.70 | (247) sdtasdt0(all_0_8_8, xb) = all_31_0_25
% 23.80/7.70 | (248) smndt0(xb) = all_31_0_25
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (19) with all_31_1_26, all_0_8_8, xa and discharging atoms sdtasdt0(xa, all_0_8_8) = all_31_1_26, aElement0(all_0_8_8), aElement0(xa), yields:
% 23.80/7.70 | (249) aElement0(all_31_1_26)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (12) with all_31_1_26, xa and discharging atoms sdtasdt0(xa, all_0_8_8) = all_31_1_26, aElement0(xa), yields:
% 23.80/7.70 | (250) sdtasdt0(all_0_8_8, xa) = all_31_1_26 & smndt0(xa) = all_31_1_26
% 23.80/7.70 |
% 23.80/7.70 | Applying alpha-rule on (250) yields:
% 23.80/7.70 | (251) sdtasdt0(all_0_8_8, xa) = all_31_1_26
% 23.80/7.70 | (252) smndt0(xa) = all_31_1_26
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (27) with all_0_4_4, sz10, xb, xa, all_0_4_4 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtpldt0(xa, xb) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 23.80/7.70 | (253) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_4_4, xb) = v2 & sdtasdt0(all_0_4_4, xa) = v1 & sdtasdt0(all_0_4_4, sz10) = v0 & sdtasdt0(xb, all_0_4_4) = v4 & sdtasdt0(xa, all_0_4_4) = v3 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (27) with all_0_2_2, all_0_1_1, xb, all_0_8_8, xx and discharging atoms sdtasdt0(all_0_1_1, xx) = all_0_2_2, sdtpldt0(all_0_8_8, xb) = all_0_1_1, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 23.80/7.70 | (254) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_8_8, xx) = v3 & sdtasdt0(xb, xx) = v4 & sdtasdt0(xx, all_0_1_1) = v0 & sdtasdt0(xx, all_0_8_8) = v1 & sdtasdt0(xx, xb) = v2 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0)
% 23.80/7.70 |
% 23.80/7.70 | Instantiating formula (74) with all_0_2_2, all_0_1_1, xb, all_0_8_8, xx and discharging atoms sdtasdt0(xx, all_0_1_1) = all_0_2_2, sdtpldt0(all_0_8_8, xb) = all_0_1_1, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 23.80/7.70 | (255) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xx) = v2 & sdtasdt0(all_0_8_8, xx) = v3 & sdtasdt0(xb, xx) = v4 & sdtasdt0(xx, all_0_8_8) = v0 & sdtasdt0(xx, xb) = v1 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (74) with all_0_8_8, sz10, xa, xb, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_0_8_8, sdtpldt0(xb, xa) = sz10, aElement0(all_0_8_8), aElement0(xb), aElement0(xa), yields:
% 23.80/7.71 | (256) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_8_8, xb) = v0 & sdtasdt0(all_0_8_8, xa) = v1 & sdtasdt0(xb, all_0_8_8) = v3 & sdtasdt0(xa, all_0_8_8) = v4 & sdtasdt0(sz10, all_0_8_8) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_8_8)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (27) with all_0_8_8, sz10, xa, xb, all_0_8_8 and discharging atoms sdtasdt0(sz10, all_0_8_8) = all_0_8_8, sdtpldt0(xb, xa) = sz10, aElement0(all_0_8_8), aElement0(xb), aElement0(xa), yields:
% 23.80/7.71 | (257) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_8_8, xb) = v1 & sdtasdt0(all_0_8_8, xa) = v2 & sdtasdt0(all_0_8_8, sz10) = v0 & sdtasdt0(xb, all_0_8_8) = v3 & sdtasdt0(xa, all_0_8_8) = v4 & sdtpldt0(v3, v4) = all_0_8_8 & sdtpldt0(v1, v2) = v0)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (74) with all_0_4_4, sz10, xa, xb, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_0_4_4, sdtpldt0(xb, xa) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 23.80/7.71 | (258) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_4_4, xb) = v0 & sdtasdt0(all_0_4_4, xa) = v1 & sdtasdt0(xb, all_0_4_4) = v3 & sdtasdt0(xa, all_0_4_4) = v4 & sdtasdt0(sz10, all_0_4_4) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_4_4)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (27) with all_0_4_4, sz10, xa, xb, all_0_4_4 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtpldt0(xb, xa) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 23.80/7.71 | (259) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_4_4, xb) = v1 & sdtasdt0(all_0_4_4, xa) = v2 & sdtasdt0(all_0_4_4, sz10) = v0 & sdtasdt0(xb, all_0_4_4) = v3 & sdtasdt0(xa, all_0_4_4) = v4 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (17) with all_39_0_42, xJ and discharging atoms aElementOf0(all_39_0_42, xJ), aSet0(xJ), yields:
% 23.80/7.71 | (260) aElement0(all_39_0_42)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (17) with all_39_1_43, xI and discharging atoms aElementOf0(all_39_1_43, xI), aSet0(xI), yields:
% 23.80/7.71 | (261) aElement0(all_39_1_43)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (17) with all_29_0_23, xJ and discharging atoms aElementOf0(all_29_0_23, xJ), aSet0(xJ), yields:
% 23.80/7.71 | (262) aElement0(all_29_0_23)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (17) with all_29_1_24, xI and discharging atoms aElementOf0(all_29_1_24, xI), aSet0(xI), yields:
% 23.80/7.71 | (263) aElement0(all_29_1_24)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (17) with all_27_0_21, xJ and discharging atoms aElementOf0(all_27_0_21, xJ), aSet0(xJ), yields:
% 23.80/7.71 | (264) aElement0(all_27_0_21)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (17) with all_27_1_22, xI and discharging atoms aElementOf0(all_27_1_22, xI), aSet0(xI), yields:
% 23.80/7.71 | (265) aElement0(all_27_1_22)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (27) with all_0_8_8, sz10, all_15_0_15, all_15_1_16, all_0_8_8 and discharging atoms sdtasdt0(sz10, all_0_8_8) = all_0_8_8, sdtpldt0(all_15_1_16, all_15_0_15) = sz10, aElement0(all_15_0_15), aElement0(all_15_1_16), aElement0(all_0_8_8), yields:
% 23.80/7.71 | (266) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_15_0_15, all_0_8_8) = v4 & sdtasdt0(all_15_1_16, all_0_8_8) = v3 & sdtasdt0(all_0_8_8, all_15_0_15) = v2 & sdtasdt0(all_0_8_8, all_15_1_16) = v1 & sdtasdt0(all_0_8_8, sz10) = v0 & sdtpldt0(v3, v4) = all_0_8_8 & sdtpldt0(v1, v2) = v0)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (74) with all_0_4_4, xx, all_9_0_9, all_9_1_10, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_0_4_4, sdtpldt0(all_9_1_10, all_9_0_9) = xx, aElement0(all_9_0_9), aElement0(all_9_1_10), aElement0(all_0_8_8), yields:
% 23.80/7.71 | (267) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_9_0_9, all_0_8_8) = v4 & sdtasdt0(all_9_1_10, all_0_8_8) = v3 & sdtasdt0(all_0_8_8, all_9_0_9) = v1 & sdtasdt0(all_0_8_8, all_9_1_10) = v0 & sdtasdt0(xx, all_0_8_8) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_4_4)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (77) with xx, all_9_1_10, all_9_0_9 and discharging atoms sdtpldt0(all_9_1_10, all_9_0_9) = xx, aElement0(all_9_0_9), aElement0(all_9_1_10), yields:
% 23.80/7.71 | (268) sdtpldt0(all_9_0_9, all_9_1_10) = xx
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (74) with all_0_2_2, xx, all_9_0_9, all_9_1_10, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_0_2_2, sdtpldt0(all_9_1_10, all_9_0_9) = xx, aElement0(all_9_0_9), aElement0(all_9_1_10), aElement0(all_0_1_1), yields:
% 23.80/7.71 | (269) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_9_0_9, all_0_1_1) = v4 & sdtasdt0(all_9_1_10, all_0_1_1) = v3 & sdtasdt0(all_0_1_1, all_9_0_9) = v1 & sdtasdt0(all_0_1_1, all_9_1_10) = v0 & sdtasdt0(xx, all_0_1_1) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (7) with all_0_2_2, xx, all_0_1_1, xx, sz10 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_0_2_2, sdtasdt0(sz10, xx) = xx, aElement0(all_0_1_1), aElement0(xx), aElement0(sz10), yields:
% 23.80/7.71 | (270) ? [v0] : (sdtasdt0(xx, all_0_1_1) = v0 & sdtasdt0(sz10, v0) = all_0_2_2)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (27) with all_0_2_2, xx, all_9_0_9, all_9_1_10, all_0_1_1 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_0_2_2, sdtpldt0(all_9_1_10, all_9_0_9) = xx, aElement0(all_9_0_9), aElement0(all_9_1_10), aElement0(all_0_1_1), yields:
% 23.80/7.71 | (271) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_9_0_9, all_0_1_1) = v4 & sdtasdt0(all_9_1_10, all_0_1_1) = v3 & sdtasdt0(all_0_1_1, all_9_0_9) = v2 & sdtasdt0(all_0_1_1, all_9_1_10) = v1 & sdtasdt0(all_0_1_1, xx) = v0 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating formula (15) with all_0_2_2, xx, sz10, xx, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_0_2_2, sdtasdt0(xx, sz10) = xx, aElement0(all_0_1_1), aElement0(xx), aElement0(sz10), yields:
% 23.80/7.71 | (272) ? [v0] : (sdtasdt0(v0, sz10) = all_0_2_2 & sdtasdt0(all_0_1_1, xx) = v0)
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (244) with all_73_0_58 yields:
% 23.80/7.71 | (273) sdtasdt0(all_73_0_58, sz10) = all_31_0_25 & sdtasdt0(xb, all_0_8_8) = all_73_0_58
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (273) yields:
% 23.80/7.71 | (274) sdtasdt0(all_73_0_58, sz10) = all_31_0_25
% 23.80/7.71 | (275) sdtasdt0(xb, all_0_8_8) = all_73_0_58
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (243) with all_75_0_59 yields:
% 23.80/7.71 | (276) sdtasdt0(all_0_8_8, xa) = all_75_0_59 & sdtasdt0(sz10, all_75_0_59) = all_31_3_28
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (276) yields:
% 23.80/7.71 | (277) sdtasdt0(all_0_8_8, xa) = all_75_0_59
% 23.80/7.71 | (278) sdtasdt0(sz10, all_75_0_59) = all_31_3_28
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (271) with all_93_0_79, all_93_1_80, all_93_2_81, all_93_3_82, all_93_4_83 yields:
% 23.80/7.71 | (279) sdtasdt0(all_9_0_9, all_0_1_1) = all_93_0_79 & sdtasdt0(all_9_1_10, all_0_1_1) = all_93_1_80 & sdtasdt0(all_0_1_1, all_9_0_9) = all_93_2_81 & sdtasdt0(all_0_1_1, all_9_1_10) = all_93_3_82 & sdtasdt0(all_0_1_1, xx) = all_93_4_83 & sdtpldt0(all_93_1_80, all_93_0_79) = all_0_2_2 & sdtpldt0(all_93_3_82, all_93_2_81) = all_93_4_83
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (279) yields:
% 23.80/7.71 | (280) sdtasdt0(all_0_1_1, all_9_0_9) = all_93_2_81
% 23.80/7.71 | (281) sdtasdt0(all_0_1_1, xx) = all_93_4_83
% 23.80/7.71 | (282) sdtpldt0(all_93_3_82, all_93_2_81) = all_93_4_83
% 23.80/7.71 | (283) sdtasdt0(all_0_1_1, all_9_1_10) = all_93_3_82
% 23.80/7.71 | (284) sdtasdt0(all_9_1_10, all_0_1_1) = all_93_1_80
% 23.80/7.71 | (285) sdtpldt0(all_93_1_80, all_93_0_79) = all_0_2_2
% 23.80/7.71 | (286) sdtasdt0(all_9_0_9, all_0_1_1) = all_93_0_79
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (270) with all_95_0_84 yields:
% 23.80/7.71 | (287) sdtasdt0(xx, all_0_1_1) = all_95_0_84 & sdtasdt0(sz10, all_95_0_84) = all_0_2_2
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (287) yields:
% 23.80/7.71 | (288) sdtasdt0(xx, all_0_1_1) = all_95_0_84
% 23.80/7.71 | (289) sdtasdt0(sz10, all_95_0_84) = all_0_2_2
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (272) with all_113_0_106 yields:
% 23.80/7.71 | (290) sdtasdt0(all_113_0_106, sz10) = all_0_2_2 & sdtasdt0(all_0_1_1, xx) = all_113_0_106
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (290) yields:
% 23.80/7.71 | (291) sdtasdt0(all_113_0_106, sz10) = all_0_2_2
% 23.80/7.71 | (292) sdtasdt0(all_0_1_1, xx) = all_113_0_106
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (239) with all_115_0_107, all_115_1_108, all_115_2_109, all_115_3_110, all_115_4_111 yields:
% 23.80/7.71 | (293) sdtasdt0(all_0_4_4, xb) = all_115_3_110 & sdtasdt0(all_0_4_4, xa) = all_115_4_111 & sdtasdt0(xb, all_0_4_4) = all_115_0_107 & sdtasdt0(xa, all_0_4_4) = all_115_1_108 & sdtasdt0(sz10, all_0_4_4) = all_115_2_109 & sdtpldt0(all_115_1_108, all_115_0_107) = all_115_2_109 & sdtpldt0(all_115_4_111, all_115_3_110) = all_0_4_4
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (293) yields:
% 23.80/7.71 | (294) sdtasdt0(xb, all_0_4_4) = all_115_0_107
% 23.80/7.71 | (295) sdtpldt0(all_115_4_111, all_115_3_110) = all_0_4_4
% 23.80/7.71 | (296) sdtasdt0(sz10, all_0_4_4) = all_115_2_109
% 23.80/7.71 | (297) sdtasdt0(all_0_4_4, xb) = all_115_3_110
% 23.80/7.71 | (298) sdtasdt0(xa, all_0_4_4) = all_115_1_108
% 23.80/7.71 | (299) sdtpldt0(all_115_1_108, all_115_0_107) = all_115_2_109
% 23.80/7.71 | (300) sdtasdt0(all_0_4_4, xa) = all_115_4_111
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (266) with all_119_0_114, all_119_1_115, all_119_2_116, all_119_3_117, all_119_4_118 yields:
% 23.80/7.71 | (301) sdtasdt0(all_15_0_15, all_0_8_8) = all_119_0_114 & sdtasdt0(all_15_1_16, all_0_8_8) = all_119_1_115 & sdtasdt0(all_0_8_8, all_15_0_15) = all_119_2_116 & sdtasdt0(all_0_8_8, all_15_1_16) = all_119_3_117 & sdtasdt0(all_0_8_8, sz10) = all_119_4_118 & sdtpldt0(all_119_1_115, all_119_0_114) = all_0_8_8 & sdtpldt0(all_119_3_117, all_119_2_116) = all_119_4_118
% 23.80/7.71 |
% 23.80/7.71 | Applying alpha-rule on (301) yields:
% 23.80/7.71 | (302) sdtasdt0(all_0_8_8, all_15_0_15) = all_119_2_116
% 23.80/7.71 | (303) sdtasdt0(all_0_8_8, sz10) = all_119_4_118
% 23.80/7.71 | (304) sdtpldt0(all_119_3_117, all_119_2_116) = all_119_4_118
% 23.80/7.71 | (305) sdtasdt0(all_15_1_16, all_0_8_8) = all_119_1_115
% 23.80/7.71 | (306) sdtpldt0(all_119_1_115, all_119_0_114) = all_0_8_8
% 23.80/7.71 | (307) sdtasdt0(all_15_0_15, all_0_8_8) = all_119_0_114
% 23.80/7.71 | (308) sdtasdt0(all_0_8_8, all_15_1_16) = all_119_3_117
% 23.80/7.71 |
% 23.80/7.71 | Instantiating (269) with all_145_0_157, all_145_1_158, all_145_2_159, all_145_3_160, all_145_4_161 yields:
% 23.80/7.71 | (309) sdtasdt0(all_9_0_9, all_0_1_1) = all_145_0_157 & sdtasdt0(all_9_1_10, all_0_1_1) = all_145_1_158 & sdtasdt0(all_0_1_1, all_9_0_9) = all_145_3_160 & sdtasdt0(all_0_1_1, all_9_1_10) = all_145_4_161 & sdtasdt0(xx, all_0_1_1) = all_145_2_159 & sdtpldt0(all_145_1_158, all_145_0_157) = all_145_2_159 & sdtpldt0(all_145_4_161, all_145_3_160) = all_0_2_2
% 23.80/7.71 |
% 23.80/7.72 | Applying alpha-rule on (309) yields:
% 23.80/7.72 | (310) sdtpldt0(all_145_1_158, all_145_0_157) = all_145_2_159
% 23.80/7.72 | (311) sdtasdt0(all_0_1_1, all_9_1_10) = all_145_4_161
% 23.80/7.72 | (312) sdtasdt0(all_0_1_1, all_9_0_9) = all_145_3_160
% 23.80/7.72 | (313) sdtpldt0(all_145_4_161, all_145_3_160) = all_0_2_2
% 23.80/7.72 | (314) sdtasdt0(all_9_0_9, all_0_1_1) = all_145_0_157
% 23.80/7.72 | (315) sdtasdt0(all_9_1_10, all_0_1_1) = all_145_1_158
% 23.80/7.72 | (316) sdtasdt0(xx, all_0_1_1) = all_145_2_159
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (253) with all_163_0_191, all_163_1_192, all_163_2_193, all_163_3_194, all_163_4_195 yields:
% 23.80/7.72 | (317) sdtasdt0(all_0_4_4, xb) = all_163_2_193 & sdtasdt0(all_0_4_4, xa) = all_163_3_194 & sdtasdt0(all_0_4_4, sz10) = all_163_4_195 & sdtasdt0(xb, all_0_4_4) = all_163_0_191 & sdtasdt0(xa, all_0_4_4) = all_163_1_192 & sdtpldt0(all_163_1_192, all_163_0_191) = all_0_4_4 & sdtpldt0(all_163_3_194, all_163_2_193) = all_163_4_195
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (317) yields:
% 23.80/7.72 | (318) sdtpldt0(all_163_1_192, all_163_0_191) = all_0_4_4
% 23.80/7.72 | (319) sdtasdt0(xb, all_0_4_4) = all_163_0_191
% 23.80/7.72 | (320) sdtpldt0(all_163_3_194, all_163_2_193) = all_163_4_195
% 23.80/7.72 | (321) sdtasdt0(all_0_4_4, xb) = all_163_2_193
% 23.80/7.72 | (322) sdtasdt0(all_0_4_4, xa) = all_163_3_194
% 23.80/7.72 | (323) sdtasdt0(xa, all_0_4_4) = all_163_1_192
% 23.80/7.72 | (324) sdtasdt0(all_0_4_4, sz10) = all_163_4_195
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (267) with all_169_0_200, all_169_1_201, all_169_2_202, all_169_3_203, all_169_4_204 yields:
% 23.80/7.72 | (325) sdtasdt0(all_9_0_9, all_0_8_8) = all_169_0_200 & sdtasdt0(all_9_1_10, all_0_8_8) = all_169_1_201 & sdtasdt0(all_0_8_8, all_9_0_9) = all_169_3_203 & sdtasdt0(all_0_8_8, all_9_1_10) = all_169_4_204 & sdtasdt0(xx, all_0_8_8) = all_169_2_202 & sdtpldt0(all_169_1_201, all_169_0_200) = all_169_2_202 & sdtpldt0(all_169_4_204, all_169_3_203) = all_0_4_4
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (325) yields:
% 23.80/7.72 | (326) sdtpldt0(all_169_1_201, all_169_0_200) = all_169_2_202
% 23.80/7.72 | (327) sdtasdt0(all_9_0_9, all_0_8_8) = all_169_0_200
% 23.80/7.72 | (328) sdtpldt0(all_169_4_204, all_169_3_203) = all_0_4_4
% 23.80/7.72 | (329) sdtasdt0(all_0_8_8, all_9_0_9) = all_169_3_203
% 23.80/7.72 | (330) sdtasdt0(xx, all_0_8_8) = all_169_2_202
% 23.80/7.72 | (331) sdtasdt0(all_9_1_10, all_0_8_8) = all_169_1_201
% 23.80/7.72 | (332) sdtasdt0(all_0_8_8, all_9_1_10) = all_169_4_204
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (259) with all_175_0_215, all_175_1_216, all_175_2_217, all_175_3_218, all_175_4_219 yields:
% 23.80/7.72 | (333) sdtasdt0(all_0_4_4, xb) = all_175_3_218 & sdtasdt0(all_0_4_4, xa) = all_175_2_217 & sdtasdt0(all_0_4_4, sz10) = all_175_4_219 & sdtasdt0(xb, all_0_4_4) = all_175_1_216 & sdtasdt0(xa, all_0_4_4) = all_175_0_215 & sdtpldt0(all_175_1_216, all_175_0_215) = all_0_4_4 & sdtpldt0(all_175_3_218, all_175_2_217) = all_175_4_219
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (333) yields:
% 23.80/7.72 | (334) sdtasdt0(all_0_4_4, xb) = all_175_3_218
% 23.80/7.72 | (335) sdtasdt0(xb, all_0_4_4) = all_175_1_216
% 23.80/7.72 | (336) sdtasdt0(all_0_4_4, sz10) = all_175_4_219
% 23.80/7.72 | (337) sdtpldt0(all_175_1_216, all_175_0_215) = all_0_4_4
% 23.80/7.72 | (338) sdtasdt0(xa, all_0_4_4) = all_175_0_215
% 23.80/7.72 | (339) sdtpldt0(all_175_3_218, all_175_2_217) = all_175_4_219
% 23.80/7.72 | (340) sdtasdt0(all_0_4_4, xa) = all_175_2_217
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (258) with all_185_0_233, all_185_1_234, all_185_2_235, all_185_3_236, all_185_4_237 yields:
% 23.80/7.72 | (341) sdtasdt0(all_0_4_4, xb) = all_185_4_237 & sdtasdt0(all_0_4_4, xa) = all_185_3_236 & sdtasdt0(xb, all_0_4_4) = all_185_1_234 & sdtasdt0(xa, all_0_4_4) = all_185_0_233 & sdtasdt0(sz10, all_0_4_4) = all_185_2_235 & sdtpldt0(all_185_1_234, all_185_0_233) = all_185_2_235 & sdtpldt0(all_185_4_237, all_185_3_236) = all_0_4_4
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (341) yields:
% 23.80/7.72 | (342) sdtpldt0(all_185_4_237, all_185_3_236) = all_0_4_4
% 23.80/7.72 | (343) sdtasdt0(xb, all_0_4_4) = all_185_1_234
% 23.80/7.72 | (344) sdtpldt0(all_185_1_234, all_185_0_233) = all_185_2_235
% 23.80/7.72 | (345) sdtasdt0(all_0_4_4, xb) = all_185_4_237
% 23.80/7.72 | (346) sdtasdt0(sz10, all_0_4_4) = all_185_2_235
% 23.80/7.72 | (347) sdtasdt0(xa, all_0_4_4) = all_185_0_233
% 23.80/7.72 | (348) sdtasdt0(all_0_4_4, xa) = all_185_3_236
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (255) with all_189_0_240, all_189_1_241, all_189_2_242, all_189_3_243, all_189_4_244 yields:
% 23.80/7.72 | (349) sdtasdt0(all_0_1_1, xx) = all_189_2_242 & sdtasdt0(all_0_8_8, xx) = all_189_1_241 & sdtasdt0(xb, xx) = all_189_0_240 & sdtasdt0(xx, all_0_8_8) = all_189_4_244 & sdtasdt0(xx, xb) = all_189_3_243 & sdtpldt0(all_189_1_241, all_189_0_240) = all_189_2_242 & sdtpldt0(all_189_4_244, all_189_3_243) = all_0_2_2
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (349) yields:
% 23.80/7.72 | (350) sdtasdt0(xx, xb) = all_189_3_243
% 23.80/7.72 | (351) sdtasdt0(xb, xx) = all_189_0_240
% 23.80/7.72 | (352) sdtasdt0(all_0_1_1, xx) = all_189_2_242
% 23.80/7.72 | (353) sdtasdt0(xx, all_0_8_8) = all_189_4_244
% 23.80/7.72 | (354) sdtpldt0(all_189_4_244, all_189_3_243) = all_0_2_2
% 23.80/7.72 | (355) sdtpldt0(all_189_1_241, all_189_0_240) = all_189_2_242
% 23.80/7.72 | (356) sdtasdt0(all_0_8_8, xx) = all_189_1_241
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (257) with all_193_0_250, all_193_1_251, all_193_2_252, all_193_3_253, all_193_4_254 yields:
% 23.80/7.72 | (357) sdtasdt0(all_0_8_8, xb) = all_193_3_253 & sdtasdt0(all_0_8_8, xa) = all_193_2_252 & sdtasdt0(all_0_8_8, sz10) = all_193_4_254 & sdtasdt0(xb, all_0_8_8) = all_193_1_251 & sdtasdt0(xa, all_0_8_8) = all_193_0_250 & sdtpldt0(all_193_1_251, all_193_0_250) = all_0_8_8 & sdtpldt0(all_193_3_253, all_193_2_252) = all_193_4_254
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (357) yields:
% 23.80/7.72 | (358) sdtasdt0(xb, all_0_8_8) = all_193_1_251
% 23.80/7.72 | (359) sdtasdt0(all_0_8_8, sz10) = all_193_4_254
% 23.80/7.72 | (360) sdtasdt0(all_0_8_8, xa) = all_193_2_252
% 23.80/7.72 | (361) sdtasdt0(xa, all_0_8_8) = all_193_0_250
% 23.80/7.72 | (362) sdtpldt0(all_193_1_251, all_193_0_250) = all_0_8_8
% 23.80/7.72 | (363) sdtasdt0(all_0_8_8, xb) = all_193_3_253
% 23.80/7.72 | (364) sdtpldt0(all_193_3_253, all_193_2_252) = all_193_4_254
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (256) with all_195_0_255, all_195_1_256, all_195_2_257, all_195_3_258, all_195_4_259 yields:
% 23.80/7.72 | (365) sdtasdt0(all_0_8_8, xb) = all_195_4_259 & sdtasdt0(all_0_8_8, xa) = all_195_3_258 & sdtasdt0(xb, all_0_8_8) = all_195_1_256 & sdtasdt0(xa, all_0_8_8) = all_195_0_255 & sdtasdt0(sz10, all_0_8_8) = all_195_2_257 & sdtpldt0(all_195_1_256, all_195_0_255) = all_195_2_257 & sdtpldt0(all_195_4_259, all_195_3_258) = all_0_8_8
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (365) yields:
% 23.80/7.72 | (366) sdtasdt0(xb, all_0_8_8) = all_195_1_256
% 23.80/7.72 | (367) sdtpldt0(all_195_1_256, all_195_0_255) = all_195_2_257
% 23.80/7.72 | (368) sdtasdt0(all_0_8_8, xa) = all_195_3_258
% 23.80/7.72 | (369) sdtasdt0(all_0_8_8, xb) = all_195_4_259
% 23.80/7.72 | (370) sdtpldt0(all_195_4_259, all_195_3_258) = all_0_8_8
% 23.80/7.72 | (371) sdtasdt0(xa, all_0_8_8) = all_195_0_255
% 23.80/7.72 | (372) sdtasdt0(sz10, all_0_8_8) = all_195_2_257
% 23.80/7.72 |
% 23.80/7.72 | Instantiating (254) with all_203_0_271, all_203_1_272, all_203_2_273, all_203_3_274, all_203_4_275 yields:
% 23.80/7.72 | (373) sdtasdt0(all_0_8_8, xx) = all_203_1_272 & sdtasdt0(xb, xx) = all_203_0_271 & sdtasdt0(xx, all_0_1_1) = all_203_4_275 & sdtasdt0(xx, all_0_8_8) = all_203_3_274 & sdtasdt0(xx, xb) = all_203_2_273 & sdtpldt0(all_203_1_272, all_203_0_271) = all_0_2_2 & sdtpldt0(all_203_3_274, all_203_2_273) = all_203_4_275
% 23.80/7.72 |
% 23.80/7.72 | Applying alpha-rule on (373) yields:
% 23.80/7.72 | (374) sdtpldt0(all_203_3_274, all_203_2_273) = all_203_4_275
% 23.80/7.72 | (375) sdtasdt0(xx, xb) = all_203_2_273
% 23.80/7.72 | (376) sdtasdt0(xb, xx) = all_203_0_271
% 23.80/7.72 | (377) sdtasdt0(xx, all_0_8_8) = all_203_3_274
% 23.80/7.72 | (378) sdtasdt0(all_0_8_8, xx) = all_203_1_272
% 23.80/7.72 | (379) sdtasdt0(xx, all_0_1_1) = all_203_4_275
% 23.80/7.72 | (380) sdtpldt0(all_203_1_272, all_203_0_271) = all_0_2_2
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_1_1, xx, all_113_0_106, all_0_2_2 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_113_0_106, sdtasdt0(all_0_1_1, xx) = all_0_2_2, yields:
% 23.80/7.72 | (381) all_113_0_106 = all_0_2_2
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_1_1, xx, all_113_0_106, all_189_2_242 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_189_2_242, sdtasdt0(all_0_1_1, xx) = all_113_0_106, yields:
% 23.80/7.72 | (382) all_189_2_242 = all_113_0_106
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_1_1, xx, all_93_4_83, all_189_2_242 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_189_2_242, sdtasdt0(all_0_1_1, xx) = all_93_4_83, yields:
% 23.80/7.72 | (383) all_189_2_242 = all_93_4_83
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_4_4, xa, all_175_2_217, all_185_3_236 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_185_3_236, sdtasdt0(all_0_4_4, xa) = all_175_2_217, yields:
% 23.80/7.72 | (384) all_185_3_236 = all_175_2_217
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_4_4, xa, all_163_3_194, all_175_2_217 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_175_2_217, sdtasdt0(all_0_4_4, xa) = all_163_3_194, yields:
% 23.80/7.72 | (385) all_175_2_217 = all_163_3_194
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_4_4, xa, all_115_4_111, all_185_3_236 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_185_3_236, sdtasdt0(all_0_4_4, xa) = all_115_4_111, yields:
% 23.80/7.72 | (386) all_185_3_236 = all_115_4_111
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_8_8, xb, all_193_3_253, all_31_2_27 and discharging atoms sdtasdt0(all_0_8_8, xb) = all_193_3_253, sdtasdt0(all_0_8_8, xb) = all_31_2_27, yields:
% 23.80/7.72 | (387) all_193_3_253 = all_31_2_27
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_8_8, xa, all_193_2_252, all_31_3_28 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_193_2_252, sdtasdt0(all_0_8_8, xa) = all_31_3_28, yields:
% 23.80/7.72 | (388) all_193_2_252 = all_31_3_28
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_8_8, xa, all_193_2_252, all_195_3_258 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_195_3_258, sdtasdt0(all_0_8_8, xa) = all_193_2_252, yields:
% 23.80/7.72 | (389) all_195_3_258 = all_193_2_252
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_8_8, xa, all_75_0_59, all_195_3_258 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_195_3_258, sdtasdt0(all_0_8_8, xa) = all_75_0_59, yields:
% 23.80/7.72 | (390) all_195_3_258 = all_75_0_59
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_8_8, xa, all_31_1_26, all_193_2_252 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_193_2_252, sdtasdt0(all_0_8_8, xa) = all_31_1_26, yields:
% 23.80/7.72 | (391) all_193_2_252 = all_31_1_26
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (85) with all_193_4_254, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_193_4_254, aElement0(all_0_8_8), yields:
% 23.80/7.72 | (392) all_193_4_254 = all_0_8_8
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with all_0_8_8, sz10, all_119_4_118, all_193_4_254 and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_193_4_254, sdtasdt0(all_0_8_8, sz10) = all_119_4_118, yields:
% 23.80/7.72 | (393) all_193_4_254 = all_119_4_118
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with xb, all_0_8_8, all_193_1_251, all_31_0_25 and discharging atoms sdtasdt0(xb, all_0_8_8) = all_193_1_251, sdtasdt0(xb, all_0_8_8) = all_31_0_25, yields:
% 23.80/7.72 | (394) all_193_1_251 = all_31_0_25
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with xb, all_0_8_8, all_193_1_251, all_195_1_256 and discharging atoms sdtasdt0(xb, all_0_8_8) = all_195_1_256, sdtasdt0(xb, all_0_8_8) = all_193_1_251, yields:
% 23.80/7.72 | (395) all_195_1_256 = all_193_1_251
% 23.80/7.72 |
% 23.80/7.72 | Instantiating formula (22) with xb, all_0_8_8, all_73_0_58, all_195_1_256 and discharging atoms sdtasdt0(xb, all_0_8_8) = all_195_1_256, sdtasdt0(xb, all_0_8_8) = all_73_0_58, yields:
% 23.80/7.73 | (396) all_195_1_256 = all_73_0_58
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xb, all_0_8_8, all_31_2_27, all_195_1_256 and discharging atoms sdtasdt0(xb, all_0_8_8) = all_195_1_256, sdtasdt0(xb, all_0_8_8) = all_31_2_27, yields:
% 23.80/7.73 | (397) all_195_1_256 = all_31_2_27
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xx, all_0_1_1, all_203_4_275, all_0_2_2 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_203_4_275, sdtasdt0(xx, all_0_1_1) = all_0_2_2, yields:
% 23.80/7.73 | (398) all_203_4_275 = all_0_2_2
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xx, all_0_1_1, all_145_2_159, all_203_4_275 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_203_4_275, sdtasdt0(xx, all_0_1_1) = all_145_2_159, yields:
% 23.80/7.73 | (399) all_203_4_275 = all_145_2_159
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xx, all_0_1_1, all_95_0_84, all_203_4_275 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_203_4_275, sdtasdt0(xx, all_0_1_1) = all_95_0_84, yields:
% 23.80/7.73 | (400) all_203_4_275 = all_95_0_84
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xx, all_0_8_8, all_189_4_244, all_0_4_4 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_189_4_244, sdtasdt0(xx, all_0_8_8) = all_0_4_4, yields:
% 23.80/7.73 | (401) all_189_4_244 = all_0_4_4
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xx, all_0_8_8, all_189_4_244, all_203_3_274 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_203_3_274, sdtasdt0(xx, all_0_8_8) = all_189_4_244, yields:
% 23.80/7.73 | (402) all_203_3_274 = all_189_4_244
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (22) with xx, all_0_8_8, all_169_2_202, all_203_3_274 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_203_3_274, sdtasdt0(xx, all_0_8_8) = all_169_2_202, yields:
% 23.80/7.73 | (403) all_203_3_274 = all_169_2_202
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (402,403) yields a new equation:
% 23.80/7.73 | (404) all_189_4_244 = all_169_2_202
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 404 yields:
% 23.80/7.73 | (405) all_189_4_244 = all_169_2_202
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (400,399) yields a new equation:
% 23.80/7.73 | (406) all_145_2_159 = all_95_0_84
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (398,399) yields a new equation:
% 23.80/7.73 | (407) all_145_2_159 = all_0_2_2
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (397,396) yields a new equation:
% 23.80/7.73 | (408) all_73_0_58 = all_31_2_27
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (395,396) yields a new equation:
% 23.80/7.73 | (409) all_193_1_251 = all_73_0_58
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 409 yields:
% 23.80/7.73 | (410) all_193_1_251 = all_73_0_58
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (389,390) yields a new equation:
% 23.80/7.73 | (411) all_193_2_252 = all_75_0_59
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 411 yields:
% 23.80/7.73 | (412) all_193_2_252 = all_75_0_59
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (410,394) yields a new equation:
% 23.80/7.73 | (413) all_73_0_58 = all_31_0_25
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 413 yields:
% 23.80/7.73 | (414) all_73_0_58 = all_31_0_25
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (391,412) yields a new equation:
% 23.80/7.73 | (415) all_75_0_59 = all_31_1_26
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (388,412) yields a new equation:
% 23.80/7.73 | (416) all_75_0_59 = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (392,393) yields a new equation:
% 23.80/7.73 | (417) all_119_4_118 = all_0_8_8
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (382,383) yields a new equation:
% 23.80/7.73 | (418) all_113_0_106 = all_93_4_83
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 418 yields:
% 23.80/7.73 | (419) all_113_0_106 = all_93_4_83
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (405,401) yields a new equation:
% 23.80/7.73 | (420) all_169_2_202 = all_0_4_4
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 420 yields:
% 23.80/7.73 | (421) all_169_2_202 = all_0_4_4
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (384,386) yields a new equation:
% 23.80/7.73 | (422) all_175_2_217 = all_115_4_111
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 422 yields:
% 23.80/7.73 | (423) all_175_2_217 = all_115_4_111
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (385,423) yields a new equation:
% 23.80/7.73 | (424) all_163_3_194 = all_115_4_111
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 424 yields:
% 23.80/7.73 | (425) all_163_3_194 = all_115_4_111
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (407,406) yields a new equation:
% 23.80/7.73 | (426) all_95_0_84 = all_0_2_2
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (381,419) yields a new equation:
% 23.80/7.73 | (427) all_93_4_83 = all_0_2_2
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (415,416) yields a new equation:
% 23.80/7.73 | (428) all_31_1_26 = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | Simplifying 428 yields:
% 23.80/7.73 | (429) all_31_1_26 = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (408,414) yields a new equation:
% 23.80/7.73 | (430) all_31_0_25 = all_31_2_27
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (417,393) yields a new equation:
% 23.80/7.73 | (392) all_193_4_254 = all_0_8_8
% 23.80/7.73 |
% 23.80/7.73 | Combining equations (416,412) yields a new equation:
% 23.80/7.73 | (388) all_193_2_252 = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | From (427) and (281) follows:
% 23.80/7.73 | (236) sdtasdt0(all_0_1_1, xx) = all_0_2_2
% 23.80/7.73 |
% 23.80/7.73 | From (425) and (322) follows:
% 23.80/7.73 | (300) sdtasdt0(all_0_4_4, xa) = all_115_4_111
% 23.80/7.73 |
% 23.80/7.73 | From (429) and (251) follows:
% 23.80/7.73 | (143) sdtasdt0(all_0_8_8, xa) = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | From (429) and (146) follows:
% 23.80/7.73 | (436) sdtasdt0(xa, all_0_8_8) = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | From (426) and (288) follows:
% 23.80/7.73 | (237) sdtasdt0(xx, all_0_1_1) = all_0_2_2
% 23.80/7.73 |
% 23.80/7.73 | From (421) and (330) follows:
% 23.80/7.73 | (96) sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 23.80/7.73 |
% 23.80/7.73 | From (387)(388)(392) and (364) follows:
% 23.80/7.73 | (439) sdtpldt0(all_31_2_27, all_31_3_28) = all_0_8_8
% 23.80/7.73 |
% 23.80/7.73 | From (429)(430) and (145) follows:
% 23.80/7.73 | (440) sdtpldt0(all_31_3_28, all_31_2_27) = all_0_8_8
% 23.80/7.73 |
% 23.80/7.73 | From (430) and (248) follows:
% 23.80/7.73 | (242) smndt0(xb) = all_31_2_27
% 23.80/7.73 |
% 23.80/7.73 | From (430) and (245) follows:
% 23.80/7.73 | (442) aElement0(all_31_2_27)
% 23.80/7.73 |
% 23.80/7.73 | From (429) and (249) follows:
% 23.80/7.73 | (443) aElement0(all_31_3_28)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (7) with all_115_4_111, all_0_4_4, xa, all_0_8_8, xx and discharging atoms sdtasdt0(all_0_4_4, xa) = all_115_4_111, sdtasdt0(xx, all_0_8_8) = all_0_4_4, aElement0(all_0_8_8), aElement0(xa), aElement0(xx), yields:
% 23.80/7.73 | (444) ? [v0] : (sdtasdt0(all_0_8_8, xa) = v0 & sdtasdt0(xx, v0) = all_115_4_111)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (37) with all_115_4_111, all_0_4_4, xa and discharging atoms sdtasdt0(all_0_4_4, xa) = all_115_4_111, aElementOf0(xa, xI), aElement0(all_0_4_4), yields:
% 23.80/7.73 | (445) aElementOf0(all_115_4_111, xI)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (74) with all_0_2_2, xx, all_9_1_10, all_9_0_9, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_0_2_2, sdtpldt0(all_9_0_9, all_9_1_10) = xx, aElement0(all_9_0_9), aElement0(all_9_1_10), aElement0(all_0_1_1), yields:
% 23.80/7.73 | (446) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_9_0_9, all_0_1_1) = v3 & sdtasdt0(all_9_1_10, all_0_1_1) = v4 & sdtasdt0(all_0_1_1, all_9_0_9) = v0 & sdtasdt0(all_0_1_1, all_9_1_10) = v1 & sdtasdt0(xx, all_0_1_1) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (74) with all_31_3_28, all_0_8_8, all_39_0_42, all_39_1_43, xa and discharging atoms sdtasdt0(xa, all_0_8_8) = all_31_3_28, sdtpldt0(all_39_1_43, all_39_0_42) = all_0_8_8, aElement0(all_39_0_42), aElement0(all_39_1_43), aElement0(xa), yields:
% 23.80/7.73 | (447) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_39_0_42, xa) = v4 & sdtasdt0(all_39_1_43, xa) = v3 & sdtasdt0(all_0_8_8, xa) = v2 & sdtasdt0(xa, all_39_0_42) = v1 & sdtasdt0(xa, all_39_1_43) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_31_3_28)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (74) with all_31_3_28, all_0_8_8, all_31_2_27, all_31_3_28, xa and discharging atoms sdtasdt0(xa, all_0_8_8) = all_31_3_28, sdtpldt0(all_31_3_28, all_31_2_27) = all_0_8_8, aElement0(all_31_2_27), aElement0(all_31_3_28), aElement0(xa), yields:
% 23.80/7.73 | (448) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_31_2_27, xa) = v4 & sdtasdt0(all_31_3_28, xa) = v3 & sdtasdt0(all_0_8_8, xa) = v2 & sdtasdt0(xa, all_31_2_27) = v1 & sdtasdt0(xa, all_31_3_28) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_31_3_28)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (74) with all_31_3_28, all_0_8_8, all_31_3_28, all_31_2_27, xa and discharging atoms sdtasdt0(xa, all_0_8_8) = all_31_3_28, sdtpldt0(all_31_2_27, all_31_3_28) = all_0_8_8, aElement0(all_31_2_27), aElement0(all_31_3_28), aElement0(xa), yields:
% 23.80/7.73 | (449) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_31_2_27, xa) = v3 & sdtasdt0(all_31_3_28, xa) = v4 & sdtasdt0(all_0_8_8, xa) = v2 & sdtasdt0(xa, all_31_2_27) = v0 & sdtasdt0(xa, all_31_3_28) = v1 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_31_3_28)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (63) with all_0_1_1, all_0_8_8, all_31_3_28, all_31_2_27, xb and discharging atoms sdtpldt0(all_31_2_27, all_31_3_28) = all_0_8_8, sdtpldt0(xb, all_0_8_8) = all_0_1_1, aElement0(all_31_2_27), aElement0(all_31_3_28), aElement0(xb), yields:
% 23.80/7.73 | (450) ? [v0] : (sdtpldt0(v0, all_31_3_28) = all_0_1_1 & sdtpldt0(xb, all_31_2_27) = v0)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (27) with all_31_3_28, xa, all_29_0_23, all_29_1_24, all_0_8_8 and discharging atoms sdtasdt0(xa, all_0_8_8) = all_31_3_28, sdtpldt0(all_29_1_24, all_29_0_23) = xa, aElement0(all_29_0_23), aElement0(all_29_1_24), aElement0(all_0_8_8), yields:
% 23.80/7.73 | (451) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_29_0_23, all_0_8_8) = v4 & sdtasdt0(all_29_1_24, all_0_8_8) = v3 & sdtasdt0(all_0_8_8, all_29_0_23) = v2 & sdtasdt0(all_0_8_8, all_29_1_24) = v1 & sdtasdt0(all_0_8_8, xa) = v0 & sdtpldt0(v3, v4) = all_31_3_28 & sdtpldt0(v1, v2) = v0)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating formula (74) with all_0_2_2, xx, all_27_0_21, all_27_1_22, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xx) = all_0_2_2, sdtpldt0(all_27_1_22, all_27_0_21) = xx, aElement0(all_27_0_21), aElement0(all_27_1_22), aElement0(all_0_1_1), yields:
% 23.80/7.73 | (452) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_27_0_21, all_0_1_1) = v4 & sdtasdt0(all_27_1_22, all_0_1_1) = v3 & sdtasdt0(all_0_1_1, all_27_0_21) = v1 & sdtasdt0(all_0_1_1, all_27_1_22) = v0 & sdtasdt0(xx, all_0_1_1) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2)
% 23.80/7.73 |
% 23.80/7.73 | Instantiating (449) with all_281_0_410, all_281_1_411, all_281_2_412, all_281_3_413, all_281_4_414 yields:
% 23.80/7.73 | (453) sdtasdt0(all_31_2_27, xa) = all_281_1_411 & sdtasdt0(all_31_3_28, xa) = all_281_0_410 & sdtasdt0(all_0_8_8, xa) = all_281_2_412 & sdtasdt0(xa, all_31_2_27) = all_281_4_414 & sdtasdt0(xa, all_31_3_28) = all_281_3_413 & sdtpldt0(all_281_1_411, all_281_0_410) = all_281_2_412 & sdtpldt0(all_281_4_414, all_281_3_413) = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | Applying alpha-rule on (453) yields:
% 23.80/7.73 | (454) sdtasdt0(all_31_3_28, xa) = all_281_0_410
% 23.80/7.73 | (455) sdtasdt0(all_0_8_8, xa) = all_281_2_412
% 23.80/7.73 | (456) sdtpldt0(all_281_4_414, all_281_3_413) = all_31_3_28
% 23.80/7.73 | (457) sdtasdt0(all_31_2_27, xa) = all_281_1_411
% 23.80/7.73 | (458) sdtasdt0(xa, all_31_2_27) = all_281_4_414
% 23.80/7.73 | (459) sdtasdt0(xa, all_31_3_28) = all_281_3_413
% 23.80/7.73 | (460) sdtpldt0(all_281_1_411, all_281_0_410) = all_281_2_412
% 23.80/7.73 |
% 23.80/7.73 | Instantiating (448) with all_283_0_415, all_283_1_416, all_283_2_417, all_283_3_418, all_283_4_419 yields:
% 23.80/7.73 | (461) sdtasdt0(all_31_2_27, xa) = all_283_0_415 & sdtasdt0(all_31_3_28, xa) = all_283_1_416 & sdtasdt0(all_0_8_8, xa) = all_283_2_417 & sdtasdt0(xa, all_31_2_27) = all_283_3_418 & sdtasdt0(xa, all_31_3_28) = all_283_4_419 & sdtpldt0(all_283_1_416, all_283_0_415) = all_283_2_417 & sdtpldt0(all_283_4_419, all_283_3_418) = all_31_3_28
% 23.80/7.73 |
% 23.80/7.73 | Applying alpha-rule on (461) yields:
% 23.80/7.73 | (462) sdtpldt0(all_283_4_419, all_283_3_418) = all_31_3_28
% 23.80/7.73 | (463) sdtasdt0(all_0_8_8, xa) = all_283_2_417
% 23.80/7.73 | (464) sdtasdt0(xa, all_31_2_27) = all_283_3_418
% 23.80/7.74 | (465) sdtasdt0(xa, all_31_3_28) = all_283_4_419
% 23.80/7.74 | (466) sdtasdt0(all_31_3_28, xa) = all_283_1_416
% 23.80/7.74 | (467) sdtpldt0(all_283_1_416, all_283_0_415) = all_283_2_417
% 23.80/7.74 | (468) sdtasdt0(all_31_2_27, xa) = all_283_0_415
% 23.80/7.74 |
% 23.80/7.74 | Instantiating (444) with all_559_0_927 yields:
% 23.80/7.74 | (469) sdtasdt0(all_0_8_8, xa) = all_559_0_927 & sdtasdt0(xx, all_559_0_927) = all_115_4_111
% 23.80/7.74 |
% 23.80/7.74 | Applying alpha-rule on (469) yields:
% 23.80/7.74 | (470) sdtasdt0(all_0_8_8, xa) = all_559_0_927
% 23.80/7.74 | (471) sdtasdt0(xx, all_559_0_927) = all_115_4_111
% 23.80/7.74 |
% 23.80/7.74 | Instantiating (450) with all_661_0_1085 yields:
% 23.80/7.74 | (472) sdtpldt0(all_661_0_1085, all_31_3_28) = all_0_1_1 & sdtpldt0(xb, all_31_2_27) = all_661_0_1085
% 23.80/7.74 |
% 23.80/7.74 | Applying alpha-rule on (472) yields:
% 23.80/7.74 | (473) sdtpldt0(all_661_0_1085, all_31_3_28) = all_0_1_1
% 23.80/7.74 | (474) sdtpldt0(xb, all_31_2_27) = all_661_0_1085
% 23.80/7.74 |
% 23.80/7.74 | Instantiating (447) with all_697_0_1133, all_697_1_1134, all_697_2_1135, all_697_3_1136, all_697_4_1137 yields:
% 23.80/7.74 | (475) sdtasdt0(all_39_0_42, xa) = all_697_0_1133 & sdtasdt0(all_39_1_43, xa) = all_697_1_1134 & sdtasdt0(all_0_8_8, xa) = all_697_2_1135 & sdtasdt0(xa, all_39_0_42) = all_697_3_1136 & sdtasdt0(xa, all_39_1_43) = all_697_4_1137 & sdtpldt0(all_697_1_1134, all_697_0_1133) = all_697_2_1135 & sdtpldt0(all_697_4_1137, all_697_3_1136) = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | Applying alpha-rule on (475) yields:
% 23.80/7.74 | (476) sdtasdt0(xa, all_39_0_42) = all_697_3_1136
% 23.80/7.74 | (477) sdtasdt0(all_39_1_43, xa) = all_697_1_1134
% 23.80/7.74 | (478) sdtasdt0(all_0_8_8, xa) = all_697_2_1135
% 23.80/7.74 | (479) sdtasdt0(xa, all_39_1_43) = all_697_4_1137
% 23.80/7.74 | (480) sdtpldt0(all_697_4_1137, all_697_3_1136) = all_31_3_28
% 23.80/7.74 | (481) sdtasdt0(all_39_0_42, xa) = all_697_0_1133
% 23.80/7.74 | (482) sdtpldt0(all_697_1_1134, all_697_0_1133) = all_697_2_1135
% 23.80/7.74 |
% 23.80/7.74 | Instantiating (452) with all_727_0_1174, all_727_1_1175, all_727_2_1176, all_727_3_1177, all_727_4_1178 yields:
% 23.80/7.74 | (483) sdtasdt0(all_27_0_21, all_0_1_1) = all_727_0_1174 & sdtasdt0(all_27_1_22, all_0_1_1) = all_727_1_1175 & sdtasdt0(all_0_1_1, all_27_0_21) = all_727_3_1177 & sdtasdt0(all_0_1_1, all_27_1_22) = all_727_4_1178 & sdtasdt0(xx, all_0_1_1) = all_727_2_1176 & sdtpldt0(all_727_1_1175, all_727_0_1174) = all_727_2_1176 & sdtpldt0(all_727_4_1178, all_727_3_1177) = all_0_2_2
% 23.80/7.74 |
% 23.80/7.74 | Applying alpha-rule on (483) yields:
% 23.80/7.74 | (484) sdtasdt0(all_27_1_22, all_0_1_1) = all_727_1_1175
% 23.80/7.74 | (485) sdtasdt0(all_27_0_21, all_0_1_1) = all_727_0_1174
% 23.80/7.74 | (486) sdtpldt0(all_727_4_1178, all_727_3_1177) = all_0_2_2
% 23.80/7.74 | (487) sdtasdt0(all_0_1_1, all_27_1_22) = all_727_4_1178
% 23.80/7.74 | (488) sdtpldt0(all_727_1_1175, all_727_0_1174) = all_727_2_1176
% 23.80/7.74 | (489) sdtasdt0(xx, all_0_1_1) = all_727_2_1176
% 23.80/7.74 | (490) sdtasdt0(all_0_1_1, all_27_0_21) = all_727_3_1177
% 23.80/7.74 |
% 23.80/7.74 | Instantiating (446) with all_757_0_1249, all_757_1_1250, all_757_2_1251, all_757_3_1252, all_757_4_1253 yields:
% 23.80/7.74 | (491) sdtasdt0(all_9_0_9, all_0_1_1) = all_757_1_1250 & sdtasdt0(all_9_1_10, all_0_1_1) = all_757_0_1249 & sdtasdt0(all_0_1_1, all_9_0_9) = all_757_4_1253 & sdtasdt0(all_0_1_1, all_9_1_10) = all_757_3_1252 & sdtasdt0(xx, all_0_1_1) = all_757_2_1251 & sdtpldt0(all_757_1_1250, all_757_0_1249) = all_757_2_1251 & sdtpldt0(all_757_4_1253, all_757_3_1252) = all_0_2_2
% 23.80/7.74 |
% 23.80/7.74 | Applying alpha-rule on (491) yields:
% 23.80/7.74 | (492) sdtpldt0(all_757_4_1253, all_757_3_1252) = all_0_2_2
% 23.80/7.74 | (493) sdtasdt0(xx, all_0_1_1) = all_757_2_1251
% 23.80/7.74 | (494) sdtasdt0(all_0_1_1, all_9_0_9) = all_757_4_1253
% 23.80/7.74 | (495) sdtasdt0(all_9_1_10, all_0_1_1) = all_757_0_1249
% 23.80/7.74 | (496) sdtasdt0(all_9_0_9, all_0_1_1) = all_757_1_1250
% 23.80/7.74 | (497) sdtpldt0(all_757_1_1250, all_757_0_1249) = all_757_2_1251
% 23.80/7.74 | (498) sdtasdt0(all_0_1_1, all_9_1_10) = all_757_3_1252
% 23.80/7.74 |
% 23.80/7.74 | Instantiating (451) with all_875_0_1502, all_875_1_1503, all_875_2_1504, all_875_3_1505, all_875_4_1506 yields:
% 23.80/7.74 | (499) sdtasdt0(all_29_0_23, all_0_8_8) = all_875_0_1502 & sdtasdt0(all_29_1_24, all_0_8_8) = all_875_1_1503 & sdtasdt0(all_0_8_8, all_29_0_23) = all_875_2_1504 & sdtasdt0(all_0_8_8, all_29_1_24) = all_875_3_1505 & sdtasdt0(all_0_8_8, xa) = all_875_4_1506 & sdtpldt0(all_875_1_1503, all_875_0_1502) = all_31_3_28 & sdtpldt0(all_875_3_1505, all_875_2_1504) = all_875_4_1506
% 23.80/7.74 |
% 23.80/7.74 | Applying alpha-rule on (499) yields:
% 23.80/7.74 | (500) sdtasdt0(all_29_0_23, all_0_8_8) = all_875_0_1502
% 23.80/7.74 | (501) sdtpldt0(all_875_1_1503, all_875_0_1502) = all_31_3_28
% 23.80/7.74 | (502) sdtasdt0(all_29_1_24, all_0_8_8) = all_875_1_1503
% 23.80/7.74 | (503) sdtasdt0(all_0_8_8, xa) = all_875_4_1506
% 23.80/7.74 | (504) sdtpldt0(all_875_3_1505, all_875_2_1504) = all_875_4_1506
% 23.80/7.74 | (505) sdtasdt0(all_0_8_8, all_29_1_24) = all_875_3_1505
% 23.80/7.74 | (506) sdtasdt0(all_0_8_8, all_29_0_23) = all_875_2_1504
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with all_0_8_8, xa, all_875_4_1506, all_31_3_28 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_875_4_1506, sdtasdt0(all_0_8_8, xa) = all_31_3_28, yields:
% 23.80/7.74 | (507) all_875_4_1506 = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with all_0_8_8, xa, all_697_2_1135, all_875_4_1506 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_875_4_1506, sdtasdt0(all_0_8_8, xa) = all_697_2_1135, yields:
% 23.80/7.74 | (508) all_875_4_1506 = all_697_2_1135
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with all_0_8_8, xa, all_283_2_417, all_875_4_1506 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_875_4_1506, sdtasdt0(all_0_8_8, xa) = all_283_2_417, yields:
% 23.80/7.74 | (509) all_875_4_1506 = all_283_2_417
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with all_0_8_8, xa, all_283_2_417, all_559_0_927 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_559_0_927, sdtasdt0(all_0_8_8, xa) = all_283_2_417, yields:
% 23.80/7.74 | (510) all_559_0_927 = all_283_2_417
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with all_0_8_8, xa, all_281_2_412, all_559_0_927 and discharging atoms sdtasdt0(all_0_8_8, xa) = all_559_0_927, sdtasdt0(all_0_8_8, xa) = all_281_2_412, yields:
% 23.80/7.74 | (511) all_559_0_927 = all_281_2_412
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with xx, all_0_1_1, all_757_2_1251, all_0_2_2 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_757_2_1251, sdtasdt0(xx, all_0_1_1) = all_0_2_2, yields:
% 23.80/7.74 | (512) all_757_2_1251 = all_0_2_2
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with xx, all_0_1_1, all_727_2_1176, all_757_2_1251 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_757_2_1251, sdtasdt0(xx, all_0_1_1) = all_727_2_1176, yields:
% 23.80/7.74 | (513) all_757_2_1251 = all_727_2_1176
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (38) with all_661_0_1085, all_31_2_27, xb and discharging atoms sdtpldt0(xb, all_31_2_27) = all_661_0_1085, smndt0(xb) = all_31_2_27, aElement0(xb), yields:
% 23.80/7.74 | (514) all_661_0_1085 = sz00
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (507,508) yields a new equation:
% 23.80/7.74 | (515) all_697_2_1135 = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (509,508) yields a new equation:
% 23.80/7.74 | (516) all_697_2_1135 = all_283_2_417
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (512,513) yields a new equation:
% 23.80/7.74 | (517) all_727_2_1176 = all_0_2_2
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (516,515) yields a new equation:
% 23.80/7.74 | (518) all_283_2_417 = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | Simplifying 518 yields:
% 23.80/7.74 | (519) all_283_2_417 = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (510,511) yields a new equation:
% 23.80/7.74 | (520) all_283_2_417 = all_281_2_412
% 23.80/7.74 |
% 23.80/7.74 | Simplifying 520 yields:
% 23.80/7.74 | (521) all_283_2_417 = all_281_2_412
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (519,521) yields a new equation:
% 23.80/7.74 | (522) all_281_2_412 = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | Combining equations (522,511) yields a new equation:
% 23.80/7.74 | (523) all_559_0_927 = all_31_3_28
% 23.80/7.74 |
% 23.80/7.74 | From (523) and (471) follows:
% 23.80/7.74 | (524) sdtasdt0(xx, all_31_3_28) = all_115_4_111
% 23.80/7.74 |
% 23.80/7.74 | From (517) and (489) follows:
% 23.80/7.74 | (237) sdtasdt0(xx, all_0_1_1) = all_0_2_2
% 23.80/7.74 |
% 23.80/7.74 | From (514) and (473) follows:
% 23.80/7.74 | (526) sdtpldt0(sz00, all_31_3_28) = all_0_1_1
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (6) with all_0_1_1, all_31_3_28 and discharging atoms sdtpldt0(sz00, all_31_3_28) = all_0_1_1, aElement0(all_31_3_28), yields:
% 23.80/7.74 | (527) all_31_3_28 = all_0_1_1
% 23.80/7.74 |
% 23.80/7.74 | From (527) and (524) follows:
% 23.80/7.74 | (528) sdtasdt0(xx, all_0_1_1) = all_115_4_111
% 23.80/7.74 |
% 23.80/7.74 | Instantiating formula (22) with xx, all_0_1_1, all_115_4_111, all_0_2_2 and discharging atoms sdtasdt0(xx, all_0_1_1) = all_115_4_111, sdtasdt0(xx, all_0_1_1) = all_0_2_2, yields:
% 23.80/7.74 | (529) all_115_4_111 = all_0_2_2
% 23.80/7.74 |
% 23.80/7.74 | From (529) and (445) follows:
% 23.80/7.74 | (530) aElementOf0(all_0_2_2, xI)
% 23.80/7.74 |
% 23.80/7.74 | Using (530) and (238) yields:
% 23.80/7.74 | (531) $false
% 23.80/7.74 |
% 23.80/7.74 |-The branch is then unsatisfiable
% 23.80/7.74 % SZS output end Proof for theBenchmark
% 23.80/7.74
% 23.80/7.74 7165ms
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