TSTP Solution File: NUM845+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:49:06 EDT 2022
% Result : Theorem 4.27s 1.55s
% Output : Proof 9.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 03:29:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/0.57 ____ _
% 0.55/0.57 ___ / __ \_____(_)___ ________ __________
% 0.55/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.57
% 0.55/0.57 A Theorem Prover for First-Order Logic
% 0.55/0.57 (ePrincess v.1.0)
% 0.55/0.57
% 0.55/0.57 (c) Philipp Rümmer, 2009-2015
% 0.55/0.57 (c) Peter Backeman, 2014-2015
% 0.55/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.57 Bug reports to peter@backeman.se
% 0.55/0.57
% 0.55/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.57
% 0.55/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.55/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.56/0.90 Prover 0: Preprocessing ...
% 2.98/1.29 Prover 0: Constructing countermodel ...
% 4.27/1.55 Prover 0: proved (930ms)
% 4.27/1.55
% 4.27/1.55 No countermodel exists, formula is valid
% 4.27/1.55 % SZS status Theorem for theBenchmark
% 4.27/1.55
% 4.27/1.55 Generating proof ... found it (size 465)
% 8.61/2.55
% 8.61/2.55 % SZS output start Proof for theBenchmark
% 8.61/2.55 Assumed formulas after preprocessing and simplification:
% 8.61/2.55 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = v7) & vsucc(v3) = v6 & vsucc(v1) = v2 & vsucc(vd411) = v0 & vmul(v0, v6) = v7 & vmul(v0, v3) = v4 & vmul(vd411, v6) = v8 & vmul(vd411, v3) = v5 & vmul(vd411, v1) = v1 & vplus(v8, v6) = v9 & vplus(v5, v3) = v4 & vplus(v1, v1) = v2 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vsucc(v12) = v13) | ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v13) = v14) | ~ (vplus(vd411, v10) = v12) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (vsucc(v10) = v17 & vmul(v0, v10) = v15 & vplus(v11, v18) = v19 & vplus(v11, v10) = v16 & vplus(vd411, v17) = v18 & ( ~ (v16 = v15) | v19 = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vsucc(v12) = v13) | ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v13) = v14) | ~ (vplus(vd411, v10) = v12) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vmul(v0, v10) = v15 & vplus(v11, v17) = v18 & vplus(v11, v10) = v16 & vplus(v0, v10) = v17 & ( ~ (v16 = v15) | v18 = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vsucc(v10) = v13) | ~ (vmul(vd411, v10) = v11) | ~ (vplus(v12, v13) = v14) | ~ (vplus(v11, vd411) = v12) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vmul(v0, v10) = v15 & vmul(vd411, v13) = v17 & vplus(v17, v13) = v18 & vplus(v11, v10) = v16 & ( ~ (v16 = v15) | v18 = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vsucc(v10) = v12) | ~ (vmul(vd411, v10) = v11) | ~ (vplus(v13, v12) = v14) | ~ (vplus(v11, vd411) = v13) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vmul(v0, v10) = v15 & vplus(v11, v17) = v18 & vplus(v11, v10) = v16 & vplus(vd411, v12) = v17 & ( ~ (v16 = v15) | v18 = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vsucc(v10) = v12) | ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v13) = v14) | ~ (vplus(vd411, v12) = v13) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (vsucc(v17) = v18 & vmul(v0, v10) = v15 & vplus(v11, v18) = v19 & vplus(v11, v10) = v16 & vplus(vd411, v10) = v17 & ( ~ (v16 = v15) | v19 = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vsucc(v10) = v12) | ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v13) = v14) | ~ (vplus(vd411, v12) = v13) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vmul(v0, v10) = v15 & vplus(v17, v12) = v18 & vplus(v11, v10) = v16 & vplus(v11, vd411) = v17 & ( ~ (v16 = v15) | v18 = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vplus(v13, v12) = v14) | ~ (vplus(v10, v11) = v13) | ? [v15] : (vplus(v11, v12) = v15 & vplus(v10, v15) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vplus(v11, v12) = v13) | ~ (vplus(v10, v13) = v14) | ? [v15] : (vplus(v15, v12) = v14 & vplus(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (vmul(v13, v12) = v11) | ~ (vmul(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (vplus(v13, v12) = v11) | ~ (vplus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vsucc(v11) = v12) | ~ (vmul(v10, v12) = v13) | ? [v14] : (vmul(v10, v11) = v14 & vplus(v14, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vsucc(v11) = v12) | ~ (vplus(v10, v12) = v13) | ? [v14] : (vsucc(v14) = v13 & vplus(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vsucc(v10) = v11) | ~ (vmul(vd411, v11) = v12) | ~ (vplus(v12, v11) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vmul(v0, v10) = v14 & vmul(vd411, v10) = v15 & vplus(v17, v11) = v18 & vplus(v15, v10) = v16 & vplus(v15, vd411) = v17 & ( ~ (v16 = v14) | v18 = v13))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vmul(v10, v11) = v12) | ~ (vplus(v12, v10) = v13) | ? [v14] : (vsucc(v11) = v14 & vmul(v10, v14) = v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v12) = v13) | ~ (vplus(v10, v0) = v12) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vmul(v0, v10) = v14 & vplus(v11, v16) = v17 & vplus(v11, v10) = v15 & vplus(v0, v10) = v16 & ( ~ (v15 = v14) | v17 = v13))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v12) = v13) | ~ (vplus(v10, v0) = v12) | ? [v14] : ? [v15] : ? [v16] : (vmul(v0, v10) = v14 & vplus(v15, v0) = v16 & vplus(v11, v10) = v15 & ( ~ (v15 = v14) | v16 = v13))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v12) = v13) | ~ (vplus(v0, v10) = v12) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v16) = v17 & vmul(v0, v10) = v14 & vplus(v11, v17) = v18 & vplus(v11, v10) = v15 & vplus(vd411, v10) = v16 & ( ~ (v15 = v14) | v18 = v13))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v12) = v13) | ~ (vplus(v0, v10) = v12) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vmul(v0, v10) = v14 & vplus(v11, v16) = v17 & vplus(v11, v10) = v15 & vplus(v10, v0) = v16 & ( ~ (v15 = v14) | v17 = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (vsucc(v12) = v11) | ~ (vsucc(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (vsucc(v14) = v15 & vsucc(v10) = v17 & vmul(v0, v10) = v13 & vplus(v11, v18) = v19 & vplus(v11, v15) = v16 & vplus(vd411, v17) = v18 & vplus(vd411, v10) = v14 & ( ~ (v13 = v12) | v19 = v16))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v16) = v17 & vmul(v0, v10) = v13 & vplus(v11, v17) = v18 & vplus(v11, v14) = v15 & vplus(v0, v10) = v14 & vplus(vd411, v10) = v16 & ( ~ (v13 = v12) | v18 = v15))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v10) = v15 & vmul(v0, v10) = v13 & vmul(vd411, v15) = v17 & vplus(v17, v15) = v18 & vplus(v14, v15) = v16 & vplus(v11, vd411) = v14 & ( ~ (v13 = v12) | v18 = v16))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v10) = v14 & vmul(v0, v10) = v13 & vplus(v17, v14) = v18 & vplus(v11, v15) = v16 & vplus(v11, vd411) = v17 & vplus(vd411, v14) = v15 & ( ~ (v13 = v12) | v18 = v16))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vmul(v0, v10) = v13 & vplus(v11, v16) = v17 & vplus(v11, v14) = v15 & vplus(v10, v0) = v14 & vplus(v0, v10) = v16 & ( ~ (v13 = v12) | v17 = v15))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (vsucc(v10) = v14 & vmul(v0, v14) = v15 & vmul(v0, v10) = v13 & vplus(v13, v0) = v16 & ( ~ (v13 = v12) | v16 = v15))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (vmul(v0, v10) = v13 & vplus(v12, v0) = v14 & vplus(v11, v15) = v16 & vplus(v10, v0) = v15 & ( ~ (v13 = v12) | v16 = v14))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vmul(vd411, v10) = v11) | ~ (vplus(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : (vmul(v0, v10) = v13 & vplus(v13, v0) = v14 & vplus(v12, v0) = v15 & ( ~ (v13 = v12) | v15 = v14))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vplus(v11, v10) = v12) | vplus(v10, v11) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vplus(v10, v11) = v12) | vplus(v11, v10) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (vplus(v10, v11) = v12) | ? [v13] : ? [v14] : (vsucc(v12) = v14 & vsucc(v11) = v13 & vplus(v10, v13) = v14)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (vmul(v10, v1) = v11)) & ! [v10] : ! [v11] : ( ~ (vsucc(v10) = v11) | vplus(v10, v1) = v11) & ! [v10] : ! [v11] : ( ~ (vsucc(v10) = v11) | vplus(v1, v10) = v11) & ! [v10] : ! [v11] : ( ~ (vsucc(v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (vmul(v0, v11) = v15 & vmul(v0, v10) = v12 & vmul(vd411, v10) = v13 & vplus(v13, v10) = v14 & vplus(v12, v0) = v16 & ( ~ (v14 = v12) | v16 = v15))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (vsucc(v14) = v15 & vsucc(v10) = v17 & vmul(vd411, v10) = v12 & vplus(v12, v18) = v19 & vplus(v12, v15) = v16 & vplus(v12, v10) = v13 & vplus(vd411, v17) = v18 & vplus(vd411, v10) = v14 & ( ~ (v13 = v11) | v19 = v16))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v16) = v17 & vmul(vd411, v10) = v12 & vplus(v12, v17) = v18 & vplus(v12, v14) = v15 & vplus(v12, v10) = v13 & vplus(v0, v10) = v14 & vplus(vd411, v10) = v16 & ( ~ (v13 = v11) | v18 = v15))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v10) = v15 & vmul(vd411, v15) = v17 & vmul(vd411, v10) = v12 & vplus(v17, v15) = v18 & vplus(v14, v15) = v16 & vplus(v12, v10) = v13 & vplus(v12, vd411) = v14 & ( ~ (v13 = v11) | v18 = v16))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (vsucc(v10) = v14 & vmul(vd411, v10) = v12 & vplus(v17, v14) = v18 & vplus(v12, v15) = v16 & vplus(v12, v10) = v13 & vplus(v12, vd411) = v17 & vplus(vd411, v14) = v15 & ( ~ (v13 = v11) | v18 = v16))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vmul(vd411, v10) = v12 & vplus(v12, v16) = v17 & vplus(v12, v14) = v15 & vplus(v12, v10) = v13 & vplus(v10, v0) = v14 & vplus(v0, v10) = v16 & ( ~ (v13 = v11) | v17 = v15))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (vsucc(v10) = v14 & vmul(v0, v14) = v15 & vmul(vd411, v10) = v12 & vplus(v12, v10) = v13 & vplus(v11, v0) = v16 & ( ~ (v13 = v11) | v16 = v15))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (vmul(vd411, v10) = v12 & vplus(v13, v0) = v14 & vplus(v12, v15) = v16 & vplus(v12, v10) = v13 & vplus(v10, v0) = v15 & ( ~ (v13 = v11) | v16 = v14))) & ! [v10] : ! [v11] : ( ~ (vmul(v0, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (vmul(vd411, v10) = v12 & vplus(v13, v0) = v15 & vplus(v12, v10) = v13 & vplus(v11, v0) = v14 & ( ~ (v13 = v11) | v15 = v14))) & ! [v10] : ! [v11] : ( ~ (vplus(v10, v1) = v11) | vsucc(v10) = v11) & ! [v10] : ! [v11] : ( ~ (vplus(v1, v10) = v11) | vsucc(v10) = v11))
% 8.90/2.61 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 8.90/2.61 | (1) ~ (all_0_0_0 = all_0_2_2) & vsucc(all_0_6_6) = all_0_3_3 & vsucc(all_0_8_8) = all_0_7_7 & vsucc(vd411) = all_0_9_9 & vmul(all_0_9_9, all_0_3_3) = all_0_2_2 & vmul(all_0_9_9, all_0_6_6) = all_0_5_5 & vmul(vd411, all_0_3_3) = all_0_1_1 & vmul(vd411, all_0_6_6) = all_0_4_4 & vmul(vd411, v1) = all_0_8_8 & vplus(all_0_1_1, all_0_3_3) = all_0_0_0 & vplus(all_0_4_4, all_0_6_6) = all_0_5_5 & vplus(all_0_8_8, v1) = all_0_7_7 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v2) = v3) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v0) = v7 & vmul(all_0_9_9, v0) = v5 & vplus(v1, v8) = v9 & vplus(v1, v0) = v6 & vplus(vd411, v7) = v8 & ( ~ (v6 = v5) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v2) = v3) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vplus(v1, v7) = v8 & vplus(v1, v0) = v6 & vplus(all_0_9_9, v0) = v7 & ( ~ (v6 = v5) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v3) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v2, v3) = v4) | ~ (vplus(v1, vd411) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vmul(vd411, v3) = v7 & vplus(v7, v3) = v8 & vplus(v1, v0) = v6 & ( ~ (v6 = v5) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v2) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v3, v2) = v4) | ~ (vplus(v1, vd411) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vplus(v1, v7) = v8 & vplus(v1, v0) = v6 & vplus(vd411, v2) = v7 & ( ~ (v6 = v5) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v2) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v7) = v8 & vmul(all_0_9_9, v0) = v5 & vplus(v1, v8) = v9 & vplus(v1, v0) = v6 & vplus(vd411, v0) = v7 & ( ~ (v6 = v5) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v2) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vplus(v7, v2) = v8 & vplus(v1, v0) = v6 & vplus(v1, vd411) = v7 & ( ~ (v6 = v5) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vplus(v3, v2) = v4) | ~ (vplus(v0, v1) = v3) | ? [v5] : (vplus(v1, v2) = v5 & vplus(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vplus(v1, v2) = v3) | ~ (vplus(v0, v3) = v4) | ? [v5] : (vplus(v5, v2) = v4 & vplus(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vmul(v0, v2) = v3) | ? [v4] : (vmul(v0, v1) = v4 & vplus(v4, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vplus(v0, v2) = v3) | ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v0) = v1) | ~ (vmul(vd411, v1) = v2) | ~ (vplus(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v4 & vmul(vd411, v0) = v5 & vplus(v7, v1) = v8 & vplus(v5, v0) = v6 & vplus(v5, vd411) = v7 & ( ~ (v6 = v4) | v8 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(v0, v1) = v2) | ~ (vplus(v2, v0) = v3) | ? [v4] : (vsucc(v1) = v4 & vmul(v0, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(v0, all_0_9_9) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(all_0_9_9, v0) = v4 & vplus(v1, v6) = v7 & vplus(v1, v0) = v5 & vplus(all_0_9_9, v0) = v6 & ( ~ (v5 = v4) | v7 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(v0, all_0_9_9) = v2) | ? [v4] : ? [v5] : ? [v6] : (vmul(all_0_9_9, v0) = v4 & vplus(v5, all_0_9_9) = v6 & vplus(v1, v0) = v5 & ( ~ (v5 = v4) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(all_0_9_9, v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v6) = v7 & vmul(all_0_9_9, v0) = v4 & vplus(v1, v7) = v8 & vplus(v1, v0) = v5 & vplus(vd411, v0) = v6 & ( ~ (v5 = v4) | v8 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(all_0_9_9, v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(all_0_9_9, v0) = v4 & vplus(v1, v6) = v7 & vplus(v1, v0) = v5 & vplus(v0, all_0_9_9) = v6 & ( ~ (v5 = v4) | v7 = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v4) = v5 & vsucc(v0) = v7 & vmul(all_0_9_9, v0) = v3 & vplus(v1, v8) = v9 & vplus(v1, v5) = v6 & vplus(vd411, v7) = v8 & vplus(vd411, v0) = v4 & ( ~ (v3 = v2) | v9 = v6))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v6) = v7 & vmul(all_0_9_9, v0) = v3 & vplus(v1, v7) = v8 & vplus(v1, v4) = v5 & vplus(all_0_9_9, v0) = v4 & vplus(vd411, v0) = v6 & ( ~ (v3 = v2) | v8 = v5))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v5 & vmul(all_0_9_9, v0) = v3 & vmul(vd411, v5) = v7 & vplus(v7, v5) = v8 & vplus(v4, v5) = v6 & vplus(v1, vd411) = v4 & ( ~ (v3 = v2) | v8 = v6))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v4 & vmul(all_0_9_9, v0) = v3 & vplus(v7, v4) = v8 & vplus(v1, v5) = v6 & vplus(v1, vd411) = v7 & vplus(vd411, v4) = v5 & ( ~ (v3 = v2) | v8 = v6))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(all_0_9_9, v0) = v3 & vplus(v1, v6) = v7 & vplus(v1, v4) = v5 & vplus(v0, all_0_9_9) = v4 & vplus(all_0_9_9, v0) = v6 & ( ~ (v3 = v2) | v7 = v5))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vmul(all_0_9_9, v4) = v5 & vmul(all_0_9_9, v0) = v3 & vplus(v3, all_0_9_9) = v6 & ( ~ (v3 = v2) | v6 = v5))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vmul(all_0_9_9, v0) = v3 & vplus(v2, all_0_9_9) = v4 & vplus(v1, v5) = v6 & vplus(v0, all_0_9_9) = v5 & ( ~ (v3 = v2) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (vmul(all_0_9_9, v0) = v3 & vplus(v3, all_0_9_9) = v4 & vplus(v2, all_0_9_9) = v5 & ( ~ (v3 = v2) | v5 = v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v1, v0) = v2) | vplus(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v0, v1) = v2) | ? [v3] : ? [v4] : (vsucc(v2) = v4 & vsucc(v1) = v3 & vplus(v0, v3) = v4)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (vmul(v0, v1) = v1)) & ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v1, v0) = v1) & ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vmul(all_0_9_9, v1) = v5 & vmul(all_0_9_9, v0) = v2 & vmul(vd411, v0) = v3 & vplus(v3, v0) = v4 & vplus(v2, all_0_9_9) = v6 & ( ~ (v4 = v2) | v6 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v4) = v5 & vsucc(v0) = v7 & vmul(vd411, v0) = v2 & vplus(v2, v8) = v9 & vplus(v2, v5) = v6 & vplus(v2, v0) = v3 & vplus(vd411, v7) = v8 & vplus(vd411, v0) = v4 & ( ~ (v3 = v1) | v9 = v6))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v6) = v7 & vmul(vd411, v0) = v2 & vplus(v2, v7) = v8 & vplus(v2, v4) = v5 & vplus(v2, v0) = v3 & vplus(all_0_9_9, v0) = v4 & vplus(vd411, v0) = v6 & ( ~ (v3 = v1) | v8 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v5 & vmul(vd411, v5) = v7 & vmul(vd411, v0) = v2 & vplus(v7, v5) = v8 & vplus(v4, v5) = v6 & vplus(v2, v0) = v3 & vplus(v2, vd411) = v4 & ( ~ (v3 = v1) | v8 = v6))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v4 & vmul(vd411, v0) = v2 & vplus(v7, v4) = v8 & vplus(v2, v5) = v6 & vplus(v2, v0) = v3 & vplus(v2, vd411) = v7 & vplus(vd411, v4) = v5 & ( ~ (v3 = v1) | v8 = v6))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(vd411, v0) = v2 & vplus(v2, v6) = v7 & vplus(v2, v4) = v5 & vplus(v2, v0) = v3 & vplus(v0, all_0_9_9) = v4 & vplus(all_0_9_9, v0) = v6 & ( ~ (v3 = v1) | v7 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vmul(all_0_9_9, v4) = v5 & vmul(vd411, v0) = v2 & vplus(v2, v0) = v3 & vplus(v1, all_0_9_9) = v6 & ( ~ (v3 = v1) | v6 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vmul(vd411, v0) = v2 & vplus(v3, all_0_9_9) = v4 & vplus(v2, v5) = v6 & vplus(v2, v0) = v3 & vplus(v0, all_0_9_9) = v5 & ( ~ (v3 = v1) | v6 = v4))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vmul(vd411, v0) = v2 & vplus(v3, all_0_9_9) = v5 & vplus(v2, v0) = v3 & vplus(v1, all_0_9_9) = v4 & ( ~ (v3 = v1) | v5 = v4))) & ! [v0] : ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (vplus(v1, v0) = v1) | vsucc(v0) = v1)
% 8.90/2.63 |
% 8.90/2.63 | Applying alpha-rule on (1) yields:
% 8.90/2.63 | (2) ! [v0] : ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1)
% 8.90/2.63 | (3) ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v0, v1) = v1)
% 8.90/2.63 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(all_0_9_9, v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(all_0_9_9, v0) = v4 & vplus(v1, v6) = v7 & vplus(v1, v0) = v5 & vplus(v0, all_0_9_9) = v6 & ( ~ (v5 = v4) | v7 = v3)))
% 8.90/2.63 | (5) vmul(vd411, all_0_3_3) = all_0_1_1
% 8.90/2.63 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v4 & vmul(all_0_9_9, v0) = v3 & vplus(v7, v4) = v8 & vplus(v1, v5) = v6 & vplus(v1, vd411) = v7 & vplus(vd411, v4) = v5 & ( ~ (v3 = v2) | v8 = v6)))
% 8.90/2.63 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v2) = v3) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v0) = v7 & vmul(all_0_9_9, v0) = v5 & vplus(v1, v8) = v9 & vplus(v1, v0) = v6 & vplus(vd411, v7) = v8 & ( ~ (v6 = v5) | v9 = v4)))
% 8.90/2.63 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v4) = v5 & vsucc(v0) = v7 & vmul(all_0_9_9, v0) = v3 & vplus(v1, v8) = v9 & vplus(v1, v5) = v6 & vplus(vd411, v7) = v8 & vplus(vd411, v0) = v4 & ( ~ (v3 = v2) | v9 = v6)))
% 8.90/2.63 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0))
% 8.90/2.63 | (10) ! [v0] : ! [v1] : (v1 = v0 | ~ (vmul(v0, v1) = v1))
% 8.90/2.63 | (11) vsucc(vd411) = all_0_9_9
% 8.90/2.63 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(all_0_9_9, v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v6) = v7 & vmul(all_0_9_9, v0) = v4 & vplus(v1, v7) = v8 & vplus(v1, v0) = v5 & vplus(vd411, v0) = v6 & ( ~ (v5 = v4) | v8 = v3)))
% 8.90/2.63 | (13) vsucc(all_0_6_6) = all_0_3_3
% 8.90/2.63 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v2) = v3) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vplus(v1, v7) = v8 & vplus(v1, v0) = v6 & vplus(all_0_9_9, v0) = v7 & ( ~ (v6 = v5) | v8 = v4)))
% 8.90/2.63 | (15) vplus(all_0_8_8, v1) = all_0_7_7
% 8.90/2.63 | (16) ~ (all_0_0_0 = all_0_2_2)
% 8.90/2.63 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v0) = v1) | ~ (vmul(vd411, v1) = v2) | ~ (vplus(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v4 & vmul(vd411, v0) = v5 & vplus(v7, v1) = v8 & vplus(v5, v0) = v6 & vplus(v5, vd411) = v7 & ( ~ (v6 = v4) | v8 = v3)))
% 8.90/2.63 | (18) vmul(vd411, all_0_6_6) = all_0_4_4
% 8.90/2.63 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2)
% 8.90/2.63 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v1, v0) = v2) | vplus(v0, v1) = v2)
% 8.90/2.63 | (21) vmul(all_0_9_9, all_0_3_3) = all_0_2_2
% 8.90/2.63 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(v0, v1) = v2) | ~ (vplus(v2, v0) = v3) | ? [v4] : (vsucc(v1) = v4 & vmul(v0, v4) = v3))
% 8.90/2.63 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0))
% 8.90/2.63 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(v0, all_0_9_9) = v2) | ? [v4] : ? [v5] : ? [v6] : (vmul(all_0_9_9, v0) = v4 & vplus(v5, all_0_9_9) = v6 & vplus(v1, v0) = v5 & ( ~ (v5 = v4) | v6 = v3)))
% 8.90/2.63 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (vmul(all_0_9_9, v0) = v3 & vplus(v3, all_0_9_9) = v4 & vplus(v2, all_0_9_9) = v5 & ( ~ (v3 = v2) | v5 = v4)))
% 8.90/2.63 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vplus(v3, v2) = v4) | ~ (vplus(v0, v1) = v3) | ? [v5] : (vplus(v1, v2) = v5 & vplus(v0, v5) = v4))
% 8.90/2.63 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vmul(all_0_9_9, v4) = v5 & vmul(all_0_9_9, v0) = v3 & vplus(v3, all_0_9_9) = v6 & ( ~ (v3 = v2) | v6 = v5)))
% 8.90/2.63 | (28) ! [v0] : ! [v1] : ( ~ (vplus(v1, v0) = v1) | vsucc(v0) = v1)
% 8.90/2.64 | (29) ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v1, v0) = v1)
% 8.90/2.64 | (30) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vmul(vd411, v0) = v2 & vplus(v3, all_0_9_9) = v5 & vplus(v2, v0) = v3 & vplus(v1, all_0_9_9) = v4 & ( ~ (v3 = v1) | v5 = v4)))
% 8.90/2.64 | (31) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vmul(vd411, v0) = v2 & vplus(v3, all_0_9_9) = v4 & vplus(v2, v5) = v6 & vplus(v2, v0) = v3 & vplus(v0, all_0_9_9) = v5 & ( ~ (v3 = v1) | v6 = v4)))
% 8.90/2.64 | (32) vmul(all_0_9_9, all_0_6_6) = all_0_5_5
% 8.90/2.64 | (33) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vmul(all_0_9_9, v4) = v5 & vmul(vd411, v0) = v2 & vplus(v2, v0) = v3 & vplus(v1, all_0_9_9) = v6 & ( ~ (v3 = v1) | v6 = v5)))
% 8.90/2.64 | (34) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v5 & vmul(vd411, v5) = v7 & vmul(vd411, v0) = v2 & vplus(v7, v5) = v8 & vplus(v4, v5) = v6 & vplus(v2, v0) = v3 & vplus(v2, vd411) = v4 & ( ~ (v3 = v1) | v8 = v6)))
% 8.90/2.64 | (35) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v4 & vmul(vd411, v0) = v2 & vplus(v7, v4) = v8 & vplus(v2, v5) = v6 & vplus(v2, v0) = v3 & vplus(v2, vd411) = v7 & vplus(vd411, v4) = v5 & ( ~ (v3 = v1) | v8 = v6)))
% 8.90/2.64 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v2) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vplus(v7, v2) = v8 & vplus(v1, v0) = v6 & vplus(v1, vd411) = v7 & ( ~ (v6 = v5) | v8 = v4)))
% 8.90/2.64 | (37) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v4) = v5 & vsucc(v0) = v7 & vmul(vd411, v0) = v2 & vplus(v2, v8) = v9 & vplus(v2, v5) = v6 & vplus(v2, v0) = v3 & vplus(vd411, v7) = v8 & vplus(vd411, v0) = v4 & ( ~ (v3 = v1) | v9 = v6)))
% 8.90/2.64 | (38) ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vmul(all_0_9_9, v1) = v5 & vmul(all_0_9_9, v0) = v2 & vmul(vd411, v0) = v3 & vplus(v3, v0) = v4 & vplus(v2, all_0_9_9) = v6 & ( ~ (v4 = v2) | v6 = v5)))
% 8.90/2.64 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vplus(v1, v2) = v3) | ~ (vplus(v0, v3) = v4) | ? [v5] : (vplus(v5, v2) = v4 & vplus(v0, v1) = v5))
% 8.90/2.64 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vmul(all_0_9_9, v0) = v3 & vplus(v2, all_0_9_9) = v4 & vplus(v1, v5) = v6 & vplus(v0, all_0_9_9) = v5 & ( ~ (v3 = v2) | v6 = v4)))
% 8.90/2.64 | (41) vmul(vd411, v1) = all_0_8_8
% 8.90/2.64 | (42) vsucc(all_0_8_8) = all_0_7_7
% 8.90/2.64 | (43) vplus(all_0_1_1, all_0_3_3) = all_0_0_0
% 8.90/2.64 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v0, v1) = v2) | ? [v3] : ? [v4] : (vsucc(v2) = v4 & vsucc(v1) = v3 & vplus(v0, v3) = v4))
% 8.90/2.64 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v2) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v3) = v4) | ~ (vplus(vd411, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (vsucc(v7) = v8 & vmul(all_0_9_9, v0) = v5 & vplus(v1, v8) = v9 & vplus(v1, v0) = v6 & vplus(vd411, v0) = v7 & ( ~ (v6 = v5) | v9 = v4)))
% 8.90/2.64 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = v0))
% 8.90/2.64 | (47) vplus(all_0_4_4, all_0_6_6) = all_0_5_5
% 8.90/2.64 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vmul(v0, v2) = v3) | ? [v4] : (vmul(v0, v1) = v4 & vplus(v4, v0) = v3))
% 8.90/2.64 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(all_0_9_9, v0) = v3 & vplus(v1, v6) = v7 & vplus(v1, v4) = v5 & vplus(v0, all_0_9_9) = v4 & vplus(all_0_9_9, v0) = v6 & ( ~ (v3 = v2) | v7 = v5)))
% 8.90/2.64 | (50) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(vd411, v0) = v2 & vplus(v2, v6) = v7 & vplus(v2, v4) = v5 & vplus(v2, v0) = v3 & vplus(v0, all_0_9_9) = v4 & vplus(all_0_9_9, v0) = v6 & ( ~ (v3 = v1) | v7 = v5)))
% 8.90/2.64 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vplus(v0, v2) = v3) | ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4))
% 8.90/2.64 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v3) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v2, v3) = v4) | ~ (vplus(v1, vd411) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vmul(vd411, v3) = v7 & vplus(v7, v3) = v8 & vplus(v1, v0) = v6 & ( ~ (v6 = v5) | v8 = v4)))
% 8.90/2.64 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v6) = v7 & vmul(all_0_9_9, v0) = v3 & vplus(v1, v7) = v8 & vplus(v1, v4) = v5 & vplus(all_0_9_9, v0) = v4 & vplus(vd411, v0) = v6 & ( ~ (v3 = v2) | v8 = v5)))
% 8.90/2.65 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v5 & vmul(all_0_9_9, v0) = v3 & vmul(vd411, v5) = v7 & vplus(v7, v5) = v8 & vplus(v4, v5) = v6 & vplus(v1, vd411) = v4 & ( ~ (v3 = v2) | v8 = v6)))
% 8.90/2.65 | (55) ! [v0] : ! [v1] : ( ~ (vmul(all_0_9_9, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v6) = v7 & vmul(vd411, v0) = v2 & vplus(v2, v7) = v8 & vplus(v2, v4) = v5 & vplus(v2, v0) = v3 & vplus(all_0_9_9, v0) = v4 & vplus(vd411, v0) = v6 & ( ~ (v3 = v1) | v8 = v5)))
% 8.90/2.65 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vmul(vd411, v0) = v1) | ~ (vplus(v1, v2) = v3) | ~ (vplus(v0, all_0_9_9) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vmul(all_0_9_9, v0) = v4 & vplus(v1, v6) = v7 & vplus(v1, v0) = v5 & vplus(all_0_9_9, v0) = v6 & ( ~ (v5 = v4) | v7 = v3)))
% 8.90/2.65 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vsucc(v0) = v2) | ~ (vmul(vd411, v0) = v1) | ~ (vplus(v3, v2) = v4) | ~ (vplus(v1, vd411) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vmul(all_0_9_9, v0) = v5 & vplus(v1, v7) = v8 & vplus(v1, v0) = v6 & vplus(vd411, v2) = v7 & ( ~ (v6 = v5) | v8 = v4)))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (38) with all_0_3_3, all_0_6_6 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, yields:
% 8.90/2.65 | (58) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vmul(all_0_9_9, all_0_3_3) = v3 & vmul(all_0_9_9, all_0_6_6) = v0 & vmul(vd411, all_0_6_6) = v1 & vplus(v1, all_0_6_6) = v2 & vplus(v0, all_0_9_9) = v4 & ( ~ (v2 = v0) | v4 = v3))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (48) with all_0_2_2, all_0_3_3, all_0_6_6, all_0_9_9 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (59) ? [v0] : (vmul(all_0_9_9, all_0_6_6) = v0 & vplus(v0, all_0_9_9) = all_0_2_2)
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (37) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (60) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vsucc(v2) = v3 & vsucc(all_0_3_3) = v5 & vmul(vd411, all_0_3_3) = v0 & vplus(v0, v6) = v7 & vplus(v0, v3) = v4 & vplus(v0, all_0_3_3) = v1 & vplus(vd411, v5) = v6 & vplus(vd411, all_0_3_3) = v2 & ( ~ (v1 = all_0_2_2) | v7 = v4))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (55) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (61) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v4) = v5 & vmul(vd411, all_0_3_3) = v0 & vplus(v0, v5) = v6 & vplus(v0, v2) = v3 & vplus(v0, all_0_3_3) = v1 & vplus(all_0_9_9, all_0_3_3) = v2 & vplus(vd411, all_0_3_3) = v4 & ( ~ (v1 = all_0_2_2) | v6 = v3))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (34) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (62) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_3_3) = v3 & vmul(vd411, v3) = v5 & vmul(vd411, all_0_3_3) = v0 & vplus(v5, v3) = v6 & vplus(v2, v3) = v4 & vplus(v0, all_0_3_3) = v1 & vplus(v0, vd411) = v2 & ( ~ (v1 = all_0_2_2) | v6 = v4))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (35) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (63) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_3_3) = v2 & vmul(vd411, all_0_3_3) = v0 & vplus(v5, v2) = v6 & vplus(v0, v3) = v4 & vplus(v0, all_0_3_3) = v1 & vplus(v0, vd411) = v5 & vplus(vd411, v2) = v3 & ( ~ (v1 = all_0_2_2) | v6 = v4))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (50) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (64) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vmul(vd411, all_0_3_3) = v0 & vplus(v0, v4) = v5 & vplus(v0, v2) = v3 & vplus(v0, all_0_3_3) = v1 & vplus(all_0_3_3, all_0_9_9) = v2 & vplus(all_0_9_9, all_0_3_3) = v4 & ( ~ (v1 = all_0_2_2) | v5 = v3))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (33) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (65) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vsucc(all_0_3_3) = v2 & vmul(all_0_9_9, v2) = v3 & vmul(vd411, all_0_3_3) = v0 & vplus(v0, all_0_3_3) = v1 & vplus(all_0_2_2, all_0_9_9) = v4 & ( ~ (v1 = all_0_2_2) | v4 = v3))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (31) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (66) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vmul(vd411, all_0_3_3) = v0 & vplus(v1, all_0_9_9) = v2 & vplus(v0, v3) = v4 & vplus(v0, all_0_3_3) = v1 & vplus(all_0_3_3, all_0_9_9) = v3 & ( ~ (v1 = all_0_2_2) | v4 = v2))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (30) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_9_9, all_0_3_3) = all_0_2_2, yields:
% 8.90/2.65 | (67) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vmul(vd411, all_0_3_3) = v0 & vplus(v1, all_0_9_9) = v3 & vplus(v0, all_0_3_3) = v1 & vplus(all_0_2_2, all_0_9_9) = v2 & ( ~ (v1 = all_0_2_2) | v3 = v2))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (37) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.65 | (68) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (vsucc(v2) = v3 & vsucc(all_0_6_6) = v5 & vmul(vd411, all_0_6_6) = v0 & vplus(v0, v6) = v7 & vplus(v0, v3) = v4 & vplus(v0, all_0_6_6) = v1 & vplus(vd411, v5) = v6 & vplus(vd411, all_0_6_6) = v2 & ( ~ (v1 = all_0_5_5) | v7 = v4))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (55) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.65 | (69) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v4) = v5 & vmul(vd411, all_0_6_6) = v0 & vplus(v0, v5) = v6 & vplus(v0, v2) = v3 & vplus(v0, all_0_6_6) = v1 & vplus(all_0_9_9, all_0_6_6) = v2 & vplus(vd411, all_0_6_6) = v4 & ( ~ (v1 = all_0_5_5) | v6 = v3))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (34) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.65 | (70) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_6_6) = v3 & vmul(vd411, v3) = v5 & vmul(vd411, all_0_6_6) = v0 & vplus(v5, v3) = v6 & vplus(v2, v3) = v4 & vplus(v0, all_0_6_6) = v1 & vplus(v0, vd411) = v2 & ( ~ (v1 = all_0_5_5) | v6 = v4))
% 8.90/2.65 |
% 8.90/2.65 | Instantiating formula (35) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.65 | (71) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_6_6) = v2 & vmul(vd411, all_0_6_6) = v0 & vplus(v5, v2) = v6 & vplus(v0, v3) = v4 & vplus(v0, all_0_6_6) = v1 & vplus(v0, vd411) = v5 & vplus(vd411, v2) = v3 & ( ~ (v1 = all_0_5_5) | v6 = v4))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (50) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.66 | (72) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vmul(vd411, all_0_6_6) = v0 & vplus(v0, v4) = v5 & vplus(v0, v2) = v3 & vplus(v0, all_0_6_6) = v1 & vplus(all_0_6_6, all_0_9_9) = v2 & vplus(all_0_9_9, all_0_6_6) = v4 & ( ~ (v1 = all_0_5_5) | v5 = v3))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (33) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.66 | (73) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vsucc(all_0_6_6) = v2 & vmul(all_0_9_9, v2) = v3 & vmul(vd411, all_0_6_6) = v0 & vplus(v0, all_0_6_6) = v1 & vplus(all_0_5_5, all_0_9_9) = v4 & ( ~ (v1 = all_0_5_5) | v4 = v3))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (31) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.66 | (74) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vmul(vd411, all_0_6_6) = v0 & vplus(v1, all_0_9_9) = v2 & vplus(v0, v3) = v4 & vplus(v0, all_0_6_6) = v1 & vplus(all_0_6_6, all_0_9_9) = v3 & ( ~ (v1 = all_0_5_5) | v4 = v2))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (30) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.66 | (75) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vmul(vd411, all_0_6_6) = v0 & vplus(v1, all_0_9_9) = v3 & vplus(v0, all_0_6_6) = v1 & vplus(all_0_5_5, all_0_9_9) = v2 & ( ~ (v1 = all_0_5_5) | v3 = v2))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (48) with all_0_1_1, all_0_3_3, all_0_6_6, vd411 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(vd411, all_0_3_3) = all_0_1_1, yields:
% 8.90/2.66 | (76) ? [v0] : (vmul(vd411, all_0_6_6) = v0 & vplus(v0, vd411) = all_0_1_1)
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (17) with all_0_0_0, all_0_1_1, all_0_3_3, all_0_6_6 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(vd411, all_0_3_3) = all_0_1_1, vplus(all_0_1_1, all_0_3_3) = all_0_0_0, yields:
% 8.90/2.66 | (77) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vmul(all_0_9_9, all_0_6_6) = v0 & vmul(vd411, all_0_6_6) = v1 & vplus(v3, all_0_3_3) = v4 & vplus(v1, all_0_6_6) = v2 & vplus(v1, vd411) = v3 & ( ~ (v2 = v0) | v4 = all_0_0_0))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (8) with all_0_0_0, all_0_1_1, all_0_3_3 and discharging atoms vmul(vd411, all_0_3_3) = all_0_1_1, vplus(all_0_1_1, all_0_3_3) = all_0_0_0, yields:
% 8.90/2.66 | (78) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v1) = v2 & vsucc(all_0_3_3) = v4 & vmul(all_0_9_9, all_0_3_3) = v0 & vplus(all_0_1_1, v5) = v6 & vplus(all_0_1_1, v2) = v3 & vplus(vd411, v4) = v5 & vplus(vd411, all_0_3_3) = v1 & ( ~ (v0 = all_0_0_0) | v6 = v3))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (53) with all_0_0_0, all_0_1_1, all_0_3_3 and discharging atoms vmul(vd411, all_0_3_3) = all_0_1_1, vplus(all_0_1_1, all_0_3_3) = all_0_0_0, yields:
% 8.90/2.66 | (79) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vsucc(v3) = v4 & vmul(all_0_9_9, all_0_3_3) = v0 & vplus(all_0_1_1, v4) = v5 & vplus(all_0_1_1, v1) = v2 & vplus(all_0_9_9, all_0_3_3) = v1 & vplus(vd411, all_0_3_3) = v3 & ( ~ (v0 = all_0_0_0) | v5 = v2))
% 8.90/2.66 |
% 8.90/2.66 | Instantiating formula (8) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 8.90/2.66 | (80) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v1) = v2 & vsucc(all_0_6_6) = v4 & vmul(all_0_9_9, all_0_6_6) = v0 & vplus(all_0_4_4, v5) = v6 & vplus(all_0_4_4, v2) = v3 & vplus(vd411, v4) = v5 & vplus(vd411, all_0_6_6) = v1 & ( ~ (v0 = all_0_5_5) | v6 = v3))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (53) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (81) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vsucc(v3) = v4 & vmul(all_0_9_9, all_0_6_6) = v0 & vplus(all_0_4_4, v4) = v5 & vplus(all_0_4_4, v1) = v2 & vplus(all_0_9_9, all_0_6_6) = v1 & vplus(vd411, all_0_6_6) = v3 & ( ~ (v0 = all_0_5_5) | v5 = v2))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (54) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (82) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vsucc(all_0_6_6) = v2 & vmul(all_0_9_9, all_0_6_6) = v0 & vmul(vd411, v2) = v4 & vplus(v4, v2) = v5 & vplus(v1, v2) = v3 & vplus(all_0_4_4, vd411) = v1 & ( ~ (v0 = all_0_5_5) | v5 = v3))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (6) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (83) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vsucc(all_0_6_6) = v1 & vmul(all_0_9_9, all_0_6_6) = v0 & vplus(v4, v1) = v5 & vplus(all_0_4_4, v2) = v3 & vplus(all_0_4_4, vd411) = v4 & vplus(vd411, v1) = v2 & ( ~ (v0 = all_0_5_5) | v5 = v3))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (49) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (84) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vmul(all_0_9_9, all_0_6_6) = v0 & vplus(all_0_4_4, v3) = v4 & vplus(all_0_4_4, v1) = v2 & vplus(all_0_6_6, all_0_9_9) = v1 & vplus(all_0_9_9, all_0_6_6) = v3 & ( ~ (v0 = all_0_5_5) | v4 = v2))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (27) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (85) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vsucc(all_0_6_6) = v1 & vmul(all_0_9_9, v1) = v2 & vmul(all_0_9_9, all_0_6_6) = v0 & vplus(v0, all_0_9_9) = v3 & ( ~ (v0 = all_0_5_5) | v3 = v2))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (40) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (86) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vmul(all_0_9_9, all_0_6_6) = v0 & vplus(all_0_4_4, v2) = v3 & vplus(all_0_5_5, all_0_9_9) = v1 & vplus(all_0_6_6, all_0_9_9) = v2 & ( ~ (v0 = all_0_5_5) | v3 = v1))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating formula (25) with all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms vmul(vd411, all_0_6_6) = all_0_4_4, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.66 | (87) ? [v0] : ? [v1] : ? [v2] : (vmul(all_0_9_9, all_0_6_6) = v0 & vplus(v0, all_0_9_9) = v1 & vplus(all_0_5_5, all_0_9_9) = v2 & ( ~ (v0 = all_0_5_5) | v2 = v1))
% 9.22/2.66 |
% 9.22/2.66 | Instantiating (87) with all_31_0_42, all_31_1_43, all_31_2_44 yields:
% 9.22/2.66 | (88) vmul(all_0_9_9, all_0_6_6) = all_31_2_44 & vplus(all_31_2_44, all_0_9_9) = all_31_1_43 & vplus(all_0_5_5, all_0_9_9) = all_31_0_42 & ( ~ (all_31_2_44 = all_0_5_5) | all_31_0_42 = all_31_1_43)
% 9.22/2.66 |
% 9.22/2.66 | Applying alpha-rule on (88) yields:
% 9.22/2.66 | (89) vmul(all_0_9_9, all_0_6_6) = all_31_2_44
% 9.22/2.66 | (90) vplus(all_31_2_44, all_0_9_9) = all_31_1_43
% 9.22/2.66 | (91) vplus(all_0_5_5, all_0_9_9) = all_31_0_42
% 9.22/2.66 | (92) ~ (all_31_2_44 = all_0_5_5) | all_31_0_42 = all_31_1_43
% 9.22/2.66 |
% 9.22/2.66 | Instantiating (69) with all_37_0_54, all_37_1_55, all_37_2_56, all_37_3_57, all_37_4_58, all_37_5_59, all_37_6_60 yields:
% 9.22/2.66 | (93) vsucc(all_37_2_56) = all_37_1_55 & vmul(vd411, all_0_6_6) = all_37_6_60 & vplus(all_37_6_60, all_37_1_55) = all_37_0_54 & vplus(all_37_6_60, all_37_4_58) = all_37_3_57 & vplus(all_37_6_60, all_0_6_6) = all_37_5_59 & vplus(all_0_9_9, all_0_6_6) = all_37_4_58 & vplus(vd411, all_0_6_6) = all_37_2_56 & ( ~ (all_37_5_59 = all_0_5_5) | all_37_0_54 = all_37_3_57)
% 9.22/2.66 |
% 9.22/2.66 | Applying alpha-rule on (93) yields:
% 9.22/2.66 | (94) vplus(all_37_6_60, all_37_1_55) = all_37_0_54
% 9.22/2.66 | (95) vplus(all_37_6_60, all_0_6_6) = all_37_5_59
% 9.22/2.66 | (96) vplus(vd411, all_0_6_6) = all_37_2_56
% 9.22/2.66 | (97) vmul(vd411, all_0_6_6) = all_37_6_60
% 9.22/2.66 | (98) vsucc(all_37_2_56) = all_37_1_55
% 9.22/2.66 | (99) ~ (all_37_5_59 = all_0_5_5) | all_37_0_54 = all_37_3_57
% 9.22/2.66 | (100) vplus(all_0_9_9, all_0_6_6) = all_37_4_58
% 9.22/2.66 | (101) vplus(all_37_6_60, all_37_4_58) = all_37_3_57
% 9.22/2.66 |
% 9.22/2.66 | Instantiating (68) with all_39_0_61, all_39_1_62, all_39_2_63, all_39_3_64, all_39_4_65, all_39_5_66, all_39_6_67, all_39_7_68 yields:
% 9.22/2.66 | (102) vsucc(all_39_5_66) = all_39_4_65 & vsucc(all_0_6_6) = all_39_2_63 & vmul(vd411, all_0_6_6) = all_39_7_68 & vplus(all_39_7_68, all_39_1_62) = all_39_0_61 & vplus(all_39_7_68, all_39_4_65) = all_39_3_64 & vplus(all_39_7_68, all_0_6_6) = all_39_6_67 & vplus(vd411, all_39_2_63) = all_39_1_62 & vplus(vd411, all_0_6_6) = all_39_5_66 & ( ~ (all_39_6_67 = all_0_5_5) | all_39_0_61 = all_39_3_64)
% 9.22/2.66 |
% 9.22/2.67 | Applying alpha-rule on (102) yields:
% 9.22/2.67 | (103) vplus(all_39_7_68, all_0_6_6) = all_39_6_67
% 9.22/2.67 | (104) vsucc(all_0_6_6) = all_39_2_63
% 9.22/2.67 | (105) ~ (all_39_6_67 = all_0_5_5) | all_39_0_61 = all_39_3_64
% 9.22/2.67 | (106) vplus(vd411, all_0_6_6) = all_39_5_66
% 9.22/2.67 | (107) vplus(all_39_7_68, all_39_4_65) = all_39_3_64
% 9.22/2.67 | (108) vplus(vd411, all_39_2_63) = all_39_1_62
% 9.22/2.67 | (109) vplus(all_39_7_68, all_39_1_62) = all_39_0_61
% 9.22/2.67 | (110) vmul(vd411, all_0_6_6) = all_39_7_68
% 9.22/2.67 | (111) vsucc(all_39_5_66) = all_39_4_65
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (86) with all_43_0_73, all_43_1_74, all_43_2_75, all_43_3_76 yields:
% 9.22/2.67 | (112) vmul(all_0_9_9, all_0_6_6) = all_43_3_76 & vplus(all_0_4_4, all_43_1_74) = all_43_0_73 & vplus(all_0_5_5, all_0_9_9) = all_43_2_75 & vplus(all_0_6_6, all_0_9_9) = all_43_1_74 & ( ~ (all_43_3_76 = all_0_5_5) | all_43_0_73 = all_43_2_75)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (112) yields:
% 9.22/2.67 | (113) ~ (all_43_3_76 = all_0_5_5) | all_43_0_73 = all_43_2_75
% 9.22/2.67 | (114) vplus(all_0_5_5, all_0_9_9) = all_43_2_75
% 9.22/2.67 | (115) vmul(all_0_9_9, all_0_6_6) = all_43_3_76
% 9.22/2.67 | (116) vplus(all_0_4_4, all_43_1_74) = all_43_0_73
% 9.22/2.67 | (117) vplus(all_0_6_6, all_0_9_9) = all_43_1_74
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (85) with all_45_0_77, all_45_1_78, all_45_2_79, all_45_3_80 yields:
% 9.22/2.67 | (118) vsucc(all_0_6_6) = all_45_2_79 & vmul(all_0_9_9, all_45_2_79) = all_45_1_78 & vmul(all_0_9_9, all_0_6_6) = all_45_3_80 & vplus(all_45_3_80, all_0_9_9) = all_45_0_77 & ( ~ (all_45_3_80 = all_0_5_5) | all_45_0_77 = all_45_1_78)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (118) yields:
% 9.22/2.67 | (119) vsucc(all_0_6_6) = all_45_2_79
% 9.22/2.67 | (120) vmul(all_0_9_9, all_45_2_79) = all_45_1_78
% 9.22/2.67 | (121) vmul(all_0_9_9, all_0_6_6) = all_45_3_80
% 9.22/2.67 | (122) ~ (all_45_3_80 = all_0_5_5) | all_45_0_77 = all_45_1_78
% 9.22/2.67 | (123) vplus(all_45_3_80, all_0_9_9) = all_45_0_77
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (80) with all_47_0_81, all_47_1_82, all_47_2_83, all_47_3_84, all_47_4_85, all_47_5_86, all_47_6_87 yields:
% 9.22/2.67 | (124) vsucc(all_47_5_86) = all_47_4_85 & vsucc(all_0_6_6) = all_47_2_83 & vmul(all_0_9_9, all_0_6_6) = all_47_6_87 & vplus(all_0_4_4, all_47_1_82) = all_47_0_81 & vplus(all_0_4_4, all_47_4_85) = all_47_3_84 & vplus(vd411, all_47_2_83) = all_47_1_82 & vplus(vd411, all_0_6_6) = all_47_5_86 & ( ~ (all_47_6_87 = all_0_5_5) | all_47_0_81 = all_47_3_84)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (124) yields:
% 9.22/2.67 | (125) vmul(all_0_9_9, all_0_6_6) = all_47_6_87
% 9.22/2.67 | (126) ~ (all_47_6_87 = all_0_5_5) | all_47_0_81 = all_47_3_84
% 9.22/2.67 | (127) vplus(vd411, all_0_6_6) = all_47_5_86
% 9.22/2.67 | (128) vplus(all_0_4_4, all_47_1_82) = all_47_0_81
% 9.22/2.67 | (129) vplus(vd411, all_47_2_83) = all_47_1_82
% 9.22/2.67 | (130) vsucc(all_47_5_86) = all_47_4_85
% 9.22/2.67 | (131) vsucc(all_0_6_6) = all_47_2_83
% 9.22/2.67 | (132) vplus(all_0_4_4, all_47_4_85) = all_47_3_84
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (84) with all_51_0_90, all_51_1_91, all_51_2_92, all_51_3_93, all_51_4_94 yields:
% 9.22/2.67 | (133) vmul(all_0_9_9, all_0_6_6) = all_51_4_94 & vplus(all_0_4_4, all_51_1_91) = all_51_0_90 & vplus(all_0_4_4, all_51_3_93) = all_51_2_92 & vplus(all_0_6_6, all_0_9_9) = all_51_3_93 & vplus(all_0_9_9, all_0_6_6) = all_51_1_91 & ( ~ (all_51_4_94 = all_0_5_5) | all_51_0_90 = all_51_2_92)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (133) yields:
% 9.22/2.67 | (134) vplus(all_0_9_9, all_0_6_6) = all_51_1_91
% 9.22/2.67 | (135) vplus(all_0_4_4, all_51_1_91) = all_51_0_90
% 9.22/2.67 | (136) ~ (all_51_4_94 = all_0_5_5) | all_51_0_90 = all_51_2_92
% 9.22/2.67 | (137) vmul(all_0_9_9, all_0_6_6) = all_51_4_94
% 9.22/2.67 | (138) vplus(all_0_4_4, all_51_3_93) = all_51_2_92
% 9.22/2.67 | (139) vplus(all_0_6_6, all_0_9_9) = all_51_3_93
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (82) with all_53_0_95, all_53_1_96, all_53_2_97, all_53_3_98, all_53_4_99, all_53_5_100 yields:
% 9.22/2.67 | (140) vsucc(all_0_6_6) = all_53_3_98 & vmul(all_0_9_9, all_0_6_6) = all_53_5_100 & vmul(vd411, all_53_3_98) = all_53_1_96 & vplus(all_53_1_96, all_53_3_98) = all_53_0_95 & vplus(all_53_4_99, all_53_3_98) = all_53_2_97 & vplus(all_0_4_4, vd411) = all_53_4_99 & ( ~ (all_53_5_100 = all_0_5_5) | all_53_0_95 = all_53_2_97)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (140) yields:
% 9.22/2.67 | (141) vplus(all_53_4_99, all_53_3_98) = all_53_2_97
% 9.22/2.67 | (142) vsucc(all_0_6_6) = all_53_3_98
% 9.22/2.67 | (143) ~ (all_53_5_100 = all_0_5_5) | all_53_0_95 = all_53_2_97
% 9.22/2.67 | (144) vmul(all_0_9_9, all_0_6_6) = all_53_5_100
% 9.22/2.67 | (145) vplus(all_53_1_96, all_53_3_98) = all_53_0_95
% 9.22/2.67 | (146) vplus(all_0_4_4, vd411) = all_53_4_99
% 9.22/2.67 | (147) vmul(vd411, all_53_3_98) = all_53_1_96
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (65) with all_55_0_101, all_55_1_102, all_55_2_103, all_55_3_104, all_55_4_105 yields:
% 9.22/2.67 | (148) vsucc(all_0_3_3) = all_55_2_103 & vmul(all_0_9_9, all_55_2_103) = all_55_1_102 & vmul(vd411, all_0_3_3) = all_55_4_105 & vplus(all_55_4_105, all_0_3_3) = all_55_3_104 & vplus(all_0_2_2, all_0_9_9) = all_55_0_101 & ( ~ (all_55_3_104 = all_0_2_2) | all_55_0_101 = all_55_1_102)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (148) yields:
% 9.22/2.67 | (149) vplus(all_55_4_105, all_0_3_3) = all_55_3_104
% 9.22/2.67 | (150) vsucc(all_0_3_3) = all_55_2_103
% 9.22/2.67 | (151) vmul(vd411, all_0_3_3) = all_55_4_105
% 9.22/2.67 | (152) vmul(all_0_9_9, all_55_2_103) = all_55_1_102
% 9.22/2.67 | (153) ~ (all_55_3_104 = all_0_2_2) | all_55_0_101 = all_55_1_102
% 9.22/2.67 | (154) vplus(all_0_2_2, all_0_9_9) = all_55_0_101
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (64) with all_57_0_106, all_57_1_107, all_57_2_108, all_57_3_109, all_57_4_110, all_57_5_111 yields:
% 9.22/2.67 | (155) vmul(vd411, all_0_3_3) = all_57_5_111 & vplus(all_57_5_111, all_57_1_107) = all_57_0_106 & vplus(all_57_5_111, all_57_3_109) = all_57_2_108 & vplus(all_57_5_111, all_0_3_3) = all_57_4_110 & vplus(all_0_3_3, all_0_9_9) = all_57_3_109 & vplus(all_0_9_9, all_0_3_3) = all_57_1_107 & ( ~ (all_57_4_110 = all_0_2_2) | all_57_0_106 = all_57_2_108)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (155) yields:
% 9.22/2.67 | (156) vplus(all_57_5_111, all_57_1_107) = all_57_0_106
% 9.22/2.67 | (157) vplus(all_57_5_111, all_0_3_3) = all_57_4_110
% 9.22/2.67 | (158) ~ (all_57_4_110 = all_0_2_2) | all_57_0_106 = all_57_2_108
% 9.22/2.67 | (159) vplus(all_57_5_111, all_57_3_109) = all_57_2_108
% 9.22/2.67 | (160) vmul(vd411, all_0_3_3) = all_57_5_111
% 9.22/2.67 | (161) vplus(all_0_9_9, all_0_3_3) = all_57_1_107
% 9.22/2.67 | (162) vplus(all_0_3_3, all_0_9_9) = all_57_3_109
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (67) with all_59_0_112, all_59_1_113, all_59_2_114, all_59_3_115 yields:
% 9.22/2.67 | (163) vmul(vd411, all_0_3_3) = all_59_3_115 & vplus(all_59_2_114, all_0_9_9) = all_59_0_112 & vplus(all_59_3_115, all_0_3_3) = all_59_2_114 & vplus(all_0_2_2, all_0_9_9) = all_59_1_113 & ( ~ (all_59_2_114 = all_0_2_2) | all_59_0_112 = all_59_1_113)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (163) yields:
% 9.22/2.67 | (164) ~ (all_59_2_114 = all_0_2_2) | all_59_0_112 = all_59_1_113
% 9.22/2.67 | (165) vmul(vd411, all_0_3_3) = all_59_3_115
% 9.22/2.67 | (166) vplus(all_59_2_114, all_0_9_9) = all_59_0_112
% 9.22/2.67 | (167) vplus(all_59_3_115, all_0_3_3) = all_59_2_114
% 9.22/2.67 | (168) vplus(all_0_2_2, all_0_9_9) = all_59_1_113
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (78) with all_67_0_130, all_67_1_131, all_67_2_132, all_67_3_133, all_67_4_134, all_67_5_135, all_67_6_136 yields:
% 9.22/2.67 | (169) vsucc(all_67_5_135) = all_67_4_134 & vsucc(all_0_3_3) = all_67_2_132 & vmul(all_0_9_9, all_0_3_3) = all_67_6_136 & vplus(all_0_1_1, all_67_1_131) = all_67_0_130 & vplus(all_0_1_1, all_67_4_134) = all_67_3_133 & vplus(vd411, all_67_2_132) = all_67_1_131 & vplus(vd411, all_0_3_3) = all_67_5_135 & ( ~ (all_67_6_136 = all_0_0_0) | all_67_0_130 = all_67_3_133)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (169) yields:
% 9.22/2.67 | (170) vplus(vd411, all_0_3_3) = all_67_5_135
% 9.22/2.67 | (171) vplus(all_0_1_1, all_67_4_134) = all_67_3_133
% 9.22/2.67 | (172) vplus(all_0_1_1, all_67_1_131) = all_67_0_130
% 9.22/2.67 | (173) vsucc(all_0_3_3) = all_67_2_132
% 9.22/2.67 | (174) ~ (all_67_6_136 = all_0_0_0) | all_67_0_130 = all_67_3_133
% 9.22/2.67 | (175) vmul(all_0_9_9, all_0_3_3) = all_67_6_136
% 9.22/2.67 | (176) vsucc(all_67_5_135) = all_67_4_134
% 9.22/2.67 | (177) vplus(vd411, all_67_2_132) = all_67_1_131
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (79) with all_71_0_138, all_71_1_139, all_71_2_140, all_71_3_141, all_71_4_142, all_71_5_143 yields:
% 9.22/2.67 | (178) vsucc(all_71_2_140) = all_71_1_139 & vmul(all_0_9_9, all_0_3_3) = all_71_5_143 & vplus(all_0_1_1, all_71_1_139) = all_71_0_138 & vplus(all_0_1_1, all_71_4_142) = all_71_3_141 & vplus(all_0_9_9, all_0_3_3) = all_71_4_142 & vplus(vd411, all_0_3_3) = all_71_2_140 & ( ~ (all_71_5_143 = all_0_0_0) | all_71_0_138 = all_71_3_141)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (178) yields:
% 9.22/2.67 | (179) vplus(all_0_1_1, all_71_4_142) = all_71_3_141
% 9.22/2.67 | (180) vplus(vd411, all_0_3_3) = all_71_2_140
% 9.22/2.67 | (181) ~ (all_71_5_143 = all_0_0_0) | all_71_0_138 = all_71_3_141
% 9.22/2.67 | (182) vmul(all_0_9_9, all_0_3_3) = all_71_5_143
% 9.22/2.67 | (183) vplus(all_0_9_9, all_0_3_3) = all_71_4_142
% 9.22/2.67 | (184) vplus(all_0_1_1, all_71_1_139) = all_71_0_138
% 9.22/2.67 | (185) vsucc(all_71_2_140) = all_71_1_139
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (61) with all_73_0_144, all_73_1_145, all_73_2_146, all_73_3_147, all_73_4_148, all_73_5_149, all_73_6_150 yields:
% 9.22/2.67 | (186) vsucc(all_73_2_146) = all_73_1_145 & vmul(vd411, all_0_3_3) = all_73_6_150 & vplus(all_73_6_150, all_73_1_145) = all_73_0_144 & vplus(all_73_6_150, all_73_4_148) = all_73_3_147 & vplus(all_73_6_150, all_0_3_3) = all_73_5_149 & vplus(all_0_9_9, all_0_3_3) = all_73_4_148 & vplus(vd411, all_0_3_3) = all_73_2_146 & ( ~ (all_73_5_149 = all_0_2_2) | all_73_0_144 = all_73_3_147)
% 9.22/2.67 |
% 9.22/2.67 | Applying alpha-rule on (186) yields:
% 9.22/2.67 | (187) vplus(all_73_6_150, all_73_1_145) = all_73_0_144
% 9.22/2.67 | (188) vmul(vd411, all_0_3_3) = all_73_6_150
% 9.22/2.67 | (189) vplus(all_73_6_150, all_73_4_148) = all_73_3_147
% 9.22/2.67 | (190) vsucc(all_73_2_146) = all_73_1_145
% 9.22/2.67 | (191) vplus(all_73_6_150, all_0_3_3) = all_73_5_149
% 9.22/2.67 | (192) vplus(vd411, all_0_3_3) = all_73_2_146
% 9.22/2.67 | (193) vplus(all_0_9_9, all_0_3_3) = all_73_4_148
% 9.22/2.67 | (194) ~ (all_73_5_149 = all_0_2_2) | all_73_0_144 = all_73_3_147
% 9.22/2.67 |
% 9.22/2.67 | Instantiating (60) with all_75_0_151, all_75_1_152, all_75_2_153, all_75_3_154, all_75_4_155, all_75_5_156, all_75_6_157, all_75_7_158 yields:
% 9.22/2.67 | (195) vsucc(all_75_5_156) = all_75_4_155 & vsucc(all_0_3_3) = all_75_2_153 & vmul(vd411, all_0_3_3) = all_75_7_158 & vplus(all_75_7_158, all_75_1_152) = all_75_0_151 & vplus(all_75_7_158, all_75_4_155) = all_75_3_154 & vplus(all_75_7_158, all_0_3_3) = all_75_6_157 & vplus(vd411, all_75_2_153) = all_75_1_152 & vplus(vd411, all_0_3_3) = all_75_5_156 & ( ~ (all_75_6_157 = all_0_2_2) | all_75_0_151 = all_75_3_154)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (195) yields:
% 9.22/2.68 | (196) ~ (all_75_6_157 = all_0_2_2) | all_75_0_151 = all_75_3_154
% 9.22/2.68 | (197) vplus(all_75_7_158, all_75_4_155) = all_75_3_154
% 9.22/2.68 | (198) vsucc(all_75_5_156) = all_75_4_155
% 9.22/2.68 | (199) vplus(all_75_7_158, all_0_3_3) = all_75_6_157
% 9.22/2.68 | (200) vsucc(all_0_3_3) = all_75_2_153
% 9.22/2.68 | (201) vmul(vd411, all_0_3_3) = all_75_7_158
% 9.22/2.68 | (202) vplus(all_75_7_158, all_75_1_152) = all_75_0_151
% 9.22/2.68 | (203) vplus(vd411, all_75_2_153) = all_75_1_152
% 9.22/2.68 | (204) vplus(vd411, all_0_3_3) = all_75_5_156
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (59) with all_77_0_159 yields:
% 9.22/2.68 | (205) vmul(all_0_9_9, all_0_6_6) = all_77_0_159 & vplus(all_77_0_159, all_0_9_9) = all_0_2_2
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (205) yields:
% 9.22/2.68 | (206) vmul(all_0_9_9, all_0_6_6) = all_77_0_159
% 9.22/2.68 | (207) vplus(all_77_0_159, all_0_9_9) = all_0_2_2
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (66) with all_83_0_171, all_83_1_172, all_83_2_173, all_83_3_174, all_83_4_175 yields:
% 9.22/2.68 | (208) vmul(vd411, all_0_3_3) = all_83_4_175 & vplus(all_83_3_174, all_0_9_9) = all_83_2_173 & vplus(all_83_4_175, all_83_1_172) = all_83_0_171 & vplus(all_83_4_175, all_0_3_3) = all_83_3_174 & vplus(all_0_3_3, all_0_9_9) = all_83_1_172 & ( ~ (all_83_3_174 = all_0_2_2) | all_83_0_171 = all_83_2_173)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (208) yields:
% 9.22/2.68 | (209) vplus(all_0_3_3, all_0_9_9) = all_83_1_172
% 9.22/2.68 | (210) vplus(all_83_4_175, all_83_1_172) = all_83_0_171
% 9.22/2.68 | (211) vplus(all_83_4_175, all_0_3_3) = all_83_3_174
% 9.22/2.68 | (212) vplus(all_83_3_174, all_0_9_9) = all_83_2_173
% 9.22/2.68 | (213) ~ (all_83_3_174 = all_0_2_2) | all_83_0_171 = all_83_2_173
% 9.22/2.68 | (214) vmul(vd411, all_0_3_3) = all_83_4_175
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (63) with all_85_0_176, all_85_1_177, all_85_2_178, all_85_3_179, all_85_4_180, all_85_5_181, all_85_6_182 yields:
% 9.22/2.68 | (215) vsucc(all_0_3_3) = all_85_4_180 & vmul(vd411, all_0_3_3) = all_85_6_182 & vplus(all_85_1_177, all_85_4_180) = all_85_0_176 & vplus(all_85_6_182, all_85_3_179) = all_85_2_178 & vplus(all_85_6_182, all_0_3_3) = all_85_5_181 & vplus(all_85_6_182, vd411) = all_85_1_177 & vplus(vd411, all_85_4_180) = all_85_3_179 & ( ~ (all_85_5_181 = all_0_2_2) | all_85_0_176 = all_85_2_178)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (215) yields:
% 9.22/2.68 | (216) ~ (all_85_5_181 = all_0_2_2) | all_85_0_176 = all_85_2_178
% 9.22/2.68 | (217) vmul(vd411, all_0_3_3) = all_85_6_182
% 9.22/2.68 | (218) vplus(all_85_1_177, all_85_4_180) = all_85_0_176
% 9.22/2.68 | (219) vplus(all_85_6_182, vd411) = all_85_1_177
% 9.22/2.68 | (220) vsucc(all_0_3_3) = all_85_4_180
% 9.22/2.68 | (221) vplus(all_85_6_182, all_0_3_3) = all_85_5_181
% 9.22/2.68 | (222) vplus(vd411, all_85_4_180) = all_85_3_179
% 9.22/2.68 | (223) vplus(all_85_6_182, all_85_3_179) = all_85_2_178
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (77) with all_89_0_188, all_89_1_189, all_89_2_190, all_89_3_191, all_89_4_192 yields:
% 9.22/2.68 | (224) vmul(all_0_9_9, all_0_6_6) = all_89_4_192 & vmul(vd411, all_0_6_6) = all_89_3_191 & vplus(all_89_1_189, all_0_3_3) = all_89_0_188 & vplus(all_89_3_191, all_0_6_6) = all_89_2_190 & vplus(all_89_3_191, vd411) = all_89_1_189 & ( ~ (all_89_2_190 = all_89_4_192) | all_89_0_188 = all_0_0_0)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (224) yields:
% 9.22/2.68 | (225) vplus(all_89_3_191, vd411) = all_89_1_189
% 9.22/2.68 | (226) vmul(vd411, all_0_6_6) = all_89_3_191
% 9.22/2.68 | (227) ~ (all_89_2_190 = all_89_4_192) | all_89_0_188 = all_0_0_0
% 9.22/2.68 | (228) vplus(all_89_3_191, all_0_6_6) = all_89_2_190
% 9.22/2.68 | (229) vmul(all_0_9_9, all_0_6_6) = all_89_4_192
% 9.22/2.68 | (230) vplus(all_89_1_189, all_0_3_3) = all_89_0_188
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (75) with all_91_0_193, all_91_1_194, all_91_2_195, all_91_3_196 yields:
% 9.22/2.68 | (231) vmul(vd411, all_0_6_6) = all_91_3_196 & vplus(all_91_2_195, all_0_9_9) = all_91_0_193 & vplus(all_91_3_196, all_0_6_6) = all_91_2_195 & vplus(all_0_5_5, all_0_9_9) = all_91_1_194 & ( ~ (all_91_2_195 = all_0_5_5) | all_91_0_193 = all_91_1_194)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (231) yields:
% 9.22/2.68 | (232) vplus(all_91_3_196, all_0_6_6) = all_91_2_195
% 9.22/2.68 | (233) ~ (all_91_2_195 = all_0_5_5) | all_91_0_193 = all_91_1_194
% 9.22/2.68 | (234) vplus(all_91_2_195, all_0_9_9) = all_91_0_193
% 9.22/2.68 | (235) vmul(vd411, all_0_6_6) = all_91_3_196
% 9.22/2.68 | (236) vplus(all_0_5_5, all_0_9_9) = all_91_1_194
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (58) with all_93_0_197, all_93_1_198, all_93_2_199, all_93_3_200, all_93_4_201 yields:
% 9.22/2.68 | (237) vmul(all_0_9_9, all_0_3_3) = all_93_1_198 & vmul(all_0_9_9, all_0_6_6) = all_93_4_201 & vmul(vd411, all_0_6_6) = all_93_3_200 & vplus(all_93_3_200, all_0_6_6) = all_93_2_199 & vplus(all_93_4_201, all_0_9_9) = all_93_0_197 & ( ~ (all_93_2_199 = all_93_4_201) | all_93_0_197 = all_93_1_198)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (237) yields:
% 9.22/2.68 | (238) vmul(all_0_9_9, all_0_3_3) = all_93_1_198
% 9.22/2.68 | (239) vmul(vd411, all_0_6_6) = all_93_3_200
% 9.22/2.68 | (240) vplus(all_93_3_200, all_0_6_6) = all_93_2_199
% 9.22/2.68 | (241) vmul(all_0_9_9, all_0_6_6) = all_93_4_201
% 9.22/2.68 | (242) vplus(all_93_4_201, all_0_9_9) = all_93_0_197
% 9.22/2.68 | (243) ~ (all_93_2_199 = all_93_4_201) | all_93_0_197 = all_93_1_198
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (74) with all_95_0_202, all_95_1_203, all_95_2_204, all_95_3_205, all_95_4_206 yields:
% 9.22/2.68 | (244) vmul(vd411, all_0_6_6) = all_95_4_206 & vplus(all_95_3_205, all_0_9_9) = all_95_2_204 & vplus(all_95_4_206, all_95_1_203) = all_95_0_202 & vplus(all_95_4_206, all_0_6_6) = all_95_3_205 & vplus(all_0_6_6, all_0_9_9) = all_95_1_203 & ( ~ (all_95_3_205 = all_0_5_5) | all_95_0_202 = all_95_2_204)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (244) yields:
% 9.22/2.68 | (245) vplus(all_95_4_206, all_0_6_6) = all_95_3_205
% 9.22/2.68 | (246) ~ (all_95_3_205 = all_0_5_5) | all_95_0_202 = all_95_2_204
% 9.22/2.68 | (247) vplus(all_0_6_6, all_0_9_9) = all_95_1_203
% 9.22/2.68 | (248) vplus(all_95_4_206, all_95_1_203) = all_95_0_202
% 9.22/2.68 | (249) vmul(vd411, all_0_6_6) = all_95_4_206
% 9.22/2.68 | (250) vplus(all_95_3_205, all_0_9_9) = all_95_2_204
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (76) with all_97_0_207 yields:
% 9.22/2.68 | (251) vmul(vd411, all_0_6_6) = all_97_0_207 & vplus(all_97_0_207, vd411) = all_0_1_1
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (251) yields:
% 9.22/2.68 | (252) vmul(vd411, all_0_6_6) = all_97_0_207
% 9.22/2.68 | (253) vplus(all_97_0_207, vd411) = all_0_1_1
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (62) with all_99_0_208, all_99_1_209, all_99_2_210, all_99_3_211, all_99_4_212, all_99_5_213, all_99_6_214 yields:
% 9.22/2.68 | (254) vsucc(all_0_3_3) = all_99_3_211 & vmul(vd411, all_99_3_211) = all_99_1_209 & vmul(vd411, all_0_3_3) = all_99_6_214 & vplus(all_99_1_209, all_99_3_211) = all_99_0_208 & vplus(all_99_4_212, all_99_3_211) = all_99_2_210 & vplus(all_99_6_214, all_0_3_3) = all_99_5_213 & vplus(all_99_6_214, vd411) = all_99_4_212 & ( ~ (all_99_5_213 = all_0_2_2) | all_99_0_208 = all_99_2_210)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (254) yields:
% 9.22/2.68 | (255) ~ (all_99_5_213 = all_0_2_2) | all_99_0_208 = all_99_2_210
% 9.22/2.68 | (256) vmul(vd411, all_99_3_211) = all_99_1_209
% 9.22/2.68 | (257) vplus(all_99_6_214, all_0_3_3) = all_99_5_213
% 9.22/2.68 | (258) vmul(vd411, all_0_3_3) = all_99_6_214
% 9.22/2.68 | (259) vplus(all_99_4_212, all_99_3_211) = all_99_2_210
% 9.22/2.68 | (260) vplus(all_99_1_209, all_99_3_211) = all_99_0_208
% 9.22/2.68 | (261) vsucc(all_0_3_3) = all_99_3_211
% 9.22/2.68 | (262) vplus(all_99_6_214, vd411) = all_99_4_212
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (81) with all_101_0_215, all_101_1_216, all_101_2_217, all_101_3_218, all_101_4_219, all_101_5_220 yields:
% 9.22/2.68 | (263) vsucc(all_101_2_217) = all_101_1_216 & vmul(all_0_9_9, all_0_6_6) = all_101_5_220 & vplus(all_0_4_4, all_101_1_216) = all_101_0_215 & vplus(all_0_4_4, all_101_4_219) = all_101_3_218 & vplus(all_0_9_9, all_0_6_6) = all_101_4_219 & vplus(vd411, all_0_6_6) = all_101_2_217 & ( ~ (all_101_5_220 = all_0_5_5) | all_101_0_215 = all_101_3_218)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (263) yields:
% 9.22/2.68 | (264) vplus(all_0_4_4, all_101_4_219) = all_101_3_218
% 9.22/2.68 | (265) vsucc(all_101_2_217) = all_101_1_216
% 9.22/2.68 | (266) vplus(all_0_4_4, all_101_1_216) = all_101_0_215
% 9.22/2.68 | (267) ~ (all_101_5_220 = all_0_5_5) | all_101_0_215 = all_101_3_218
% 9.22/2.68 | (268) vmul(all_0_9_9, all_0_6_6) = all_101_5_220
% 9.22/2.68 | (269) vplus(all_0_9_9, all_0_6_6) = all_101_4_219
% 9.22/2.68 | (270) vplus(vd411, all_0_6_6) = all_101_2_217
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (83) with all_103_0_221, all_103_1_222, all_103_2_223, all_103_3_224, all_103_4_225, all_103_5_226 yields:
% 9.22/2.68 | (271) vsucc(all_0_6_6) = all_103_4_225 & vmul(all_0_9_9, all_0_6_6) = all_103_5_226 & vplus(all_103_1_222, all_103_4_225) = all_103_0_221 & vplus(all_0_4_4, all_103_3_224) = all_103_2_223 & vplus(all_0_4_4, vd411) = all_103_1_222 & vplus(vd411, all_103_4_225) = all_103_3_224 & ( ~ (all_103_5_226 = all_0_5_5) | all_103_0_221 = all_103_2_223)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (271) yields:
% 9.22/2.68 | (272) vplus(all_0_4_4, vd411) = all_103_1_222
% 9.22/2.68 | (273) ~ (all_103_5_226 = all_0_5_5) | all_103_0_221 = all_103_2_223
% 9.22/2.68 | (274) vplus(all_0_4_4, all_103_3_224) = all_103_2_223
% 9.22/2.68 | (275) vsucc(all_0_6_6) = all_103_4_225
% 9.22/2.68 | (276) vplus(all_103_1_222, all_103_4_225) = all_103_0_221
% 9.22/2.68 | (277) vplus(vd411, all_103_4_225) = all_103_3_224
% 9.22/2.68 | (278) vmul(all_0_9_9, all_0_6_6) = all_103_5_226
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (73) with all_107_0_230, all_107_1_231, all_107_2_232, all_107_3_233, all_107_4_234 yields:
% 9.22/2.68 | (279) vsucc(all_0_6_6) = all_107_2_232 & vmul(all_0_9_9, all_107_2_232) = all_107_1_231 & vmul(vd411, all_0_6_6) = all_107_4_234 & vplus(all_107_4_234, all_0_6_6) = all_107_3_233 & vplus(all_0_5_5, all_0_9_9) = all_107_0_230 & ( ~ (all_107_3_233 = all_0_5_5) | all_107_0_230 = all_107_1_231)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (279) yields:
% 9.22/2.68 | (280) ~ (all_107_3_233 = all_0_5_5) | all_107_0_230 = all_107_1_231
% 9.22/2.68 | (281) vmul(vd411, all_0_6_6) = all_107_4_234
% 9.22/2.68 | (282) vsucc(all_0_6_6) = all_107_2_232
% 9.22/2.68 | (283) vplus(all_107_4_234, all_0_6_6) = all_107_3_233
% 9.22/2.68 | (284) vplus(all_0_5_5, all_0_9_9) = all_107_0_230
% 9.22/2.68 | (285) vmul(all_0_9_9, all_107_2_232) = all_107_1_231
% 9.22/2.68 |
% 9.22/2.68 | Instantiating (72) with all_109_0_235, all_109_1_236, all_109_2_237, all_109_3_238, all_109_4_239, all_109_5_240 yields:
% 9.22/2.68 | (286) vmul(vd411, all_0_6_6) = all_109_5_240 & vplus(all_109_5_240, all_109_1_236) = all_109_0_235 & vplus(all_109_5_240, all_109_3_238) = all_109_2_237 & vplus(all_109_5_240, all_0_6_6) = all_109_4_239 & vplus(all_0_6_6, all_0_9_9) = all_109_3_238 & vplus(all_0_9_9, all_0_6_6) = all_109_1_236 & ( ~ (all_109_4_239 = all_0_5_5) | all_109_0_235 = all_109_2_237)
% 9.22/2.68 |
% 9.22/2.68 | Applying alpha-rule on (286) yields:
% 9.22/2.68 | (287) vmul(vd411, all_0_6_6) = all_109_5_240
% 9.22/2.68 | (288) ~ (all_109_4_239 = all_0_5_5) | all_109_0_235 = all_109_2_237
% 9.22/2.68 | (289) vplus(all_109_5_240, all_0_6_6) = all_109_4_239
% 9.22/2.69 | (290) vplus(all_0_6_6, all_0_9_9) = all_109_3_238
% 9.22/2.69 | (291) vplus(all_0_9_9, all_0_6_6) = all_109_1_236
% 9.22/2.69 | (292) vplus(all_109_5_240, all_109_3_238) = all_109_2_237
% 9.22/2.69 | (293) vplus(all_109_5_240, all_109_1_236) = all_109_0_235
% 9.22/2.69 |
% 9.22/2.69 | Instantiating (71) with all_111_0_241, all_111_1_242, all_111_2_243, all_111_3_244, all_111_4_245, all_111_5_246, all_111_6_247 yields:
% 9.22/2.69 | (294) vsucc(all_0_6_6) = all_111_4_245 & vmul(vd411, all_0_6_6) = all_111_6_247 & vplus(all_111_1_242, all_111_4_245) = all_111_0_241 & vplus(all_111_6_247, all_111_3_244) = all_111_2_243 & vplus(all_111_6_247, all_0_6_6) = all_111_5_246 & vplus(all_111_6_247, vd411) = all_111_1_242 & vplus(vd411, all_111_4_245) = all_111_3_244 & ( ~ (all_111_5_246 = all_0_5_5) | all_111_0_241 = all_111_2_243)
% 9.22/2.69 |
% 9.22/2.69 | Applying alpha-rule on (294) yields:
% 9.22/2.69 | (295) vplus(all_111_6_247, vd411) = all_111_1_242
% 9.22/2.69 | (296) vplus(vd411, all_111_4_245) = all_111_3_244
% 9.22/2.69 | (297) ~ (all_111_5_246 = all_0_5_5) | all_111_0_241 = all_111_2_243
% 9.22/2.69 | (298) vplus(all_111_1_242, all_111_4_245) = all_111_0_241
% 9.22/2.69 | (299) vmul(vd411, all_0_6_6) = all_111_6_247
% 9.22/2.69 | (300) vsucc(all_0_6_6) = all_111_4_245
% 9.22/2.69 | (301) vplus(all_111_6_247, all_0_6_6) = all_111_5_246
% 9.22/2.69 | (302) vplus(all_111_6_247, all_111_3_244) = all_111_2_243
% 9.22/2.69 |
% 9.22/2.69 | Instantiating (70) with all_113_0_248, all_113_1_249, all_113_2_250, all_113_3_251, all_113_4_252, all_113_5_253, all_113_6_254 yields:
% 9.22/2.69 | (303) vsucc(all_0_6_6) = all_113_3_251 & vmul(vd411, all_113_3_251) = all_113_1_249 & vmul(vd411, all_0_6_6) = all_113_6_254 & vplus(all_113_1_249, all_113_3_251) = all_113_0_248 & vplus(all_113_4_252, all_113_3_251) = all_113_2_250 & vplus(all_113_6_254, all_0_6_6) = all_113_5_253 & vplus(all_113_6_254, vd411) = all_113_4_252 & ( ~ (all_113_5_253 = all_0_5_5) | all_113_0_248 = all_113_2_250)
% 9.22/2.69 |
% 9.22/2.69 | Applying alpha-rule on (303) yields:
% 9.22/2.69 | (304) vmul(vd411, all_0_6_6) = all_113_6_254
% 9.22/2.69 | (305) vmul(vd411, all_113_3_251) = all_113_1_249
% 9.22/2.69 | (306) vsucc(all_0_6_6) = all_113_3_251
% 9.22/2.69 | (307) ~ (all_113_5_253 = all_0_5_5) | all_113_0_248 = all_113_2_250
% 9.22/2.69 | (308) vplus(all_113_6_254, all_0_6_6) = all_113_5_253
% 9.22/2.69 | (309) vplus(all_113_1_249, all_113_3_251) = all_113_0_248
% 9.22/2.69 | (310) vplus(all_113_6_254, vd411) = all_113_4_252
% 9.22/2.69 | (311) vplus(all_113_4_252, all_113_3_251) = all_113_2_250
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_111_4_245, all_113_3_251 and discharging atoms vsucc(all_0_6_6) = all_113_3_251, vsucc(all_0_6_6) = all_111_4_245, yields:
% 9.22/2.69 | (312) all_113_3_251 = all_111_4_245
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_107_2_232, all_0_3_3 and discharging atoms vsucc(all_0_6_6) = all_107_2_232, vsucc(all_0_6_6) = all_0_3_3, yields:
% 9.22/2.69 | (313) all_107_2_232 = all_0_3_3
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_107_2_232, all_111_4_245 and discharging atoms vsucc(all_0_6_6) = all_111_4_245, vsucc(all_0_6_6) = all_107_2_232, yields:
% 9.22/2.69 | (314) all_111_4_245 = all_107_2_232
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_53_3_98, all_113_3_251 and discharging atoms vsucc(all_0_6_6) = all_113_3_251, vsucc(all_0_6_6) = all_53_3_98, yields:
% 9.22/2.69 | (315) all_113_3_251 = all_53_3_98
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_47_2_83, all_107_2_232 and discharging atoms vsucc(all_0_6_6) = all_107_2_232, vsucc(all_0_6_6) = all_47_2_83, yields:
% 9.22/2.69 | (316) all_107_2_232 = all_47_2_83
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_47_2_83, all_103_4_225 and discharging atoms vsucc(all_0_6_6) = all_103_4_225, vsucc(all_0_6_6) = all_47_2_83, yields:
% 9.22/2.69 | (317) all_103_4_225 = all_47_2_83
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_45_2_79, all_103_4_225 and discharging atoms vsucc(all_0_6_6) = all_103_4_225, vsucc(all_0_6_6) = all_45_2_79, yields:
% 9.22/2.69 | (318) all_103_4_225 = all_45_2_79
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (46) with all_0_6_6, all_39_2_63, all_47_2_83 and discharging atoms vsucc(all_0_6_6) = all_47_2_83, vsucc(all_0_6_6) = all_39_2_63, yields:
% 9.22/2.69 | (319) all_47_2_83 = all_39_2_63
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_101_5_220, all_103_5_226 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_103_5_226, vmul(all_0_9_9, all_0_6_6) = all_101_5_220, yields:
% 9.22/2.69 | (320) all_103_5_226 = all_101_5_220
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_93_4_201, all_103_5_226 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_103_5_226, vmul(all_0_9_9, all_0_6_6) = all_93_4_201, yields:
% 9.22/2.69 | (321) all_103_5_226 = all_93_4_201
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_89_4_192, all_0_5_5 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_89_4_192, vmul(all_0_9_9, all_0_6_6) = all_0_5_5, yields:
% 9.22/2.69 | (322) all_89_4_192 = all_0_5_5
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_77_0_159, all_93_4_201 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_93_4_201, vmul(all_0_9_9, all_0_6_6) = all_77_0_159, yields:
% 9.22/2.69 | (323) all_93_4_201 = all_77_0_159
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_77_0_159, all_89_4_192 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_89_4_192, vmul(all_0_9_9, all_0_6_6) = all_77_0_159, yields:
% 9.22/2.69 | (324) all_89_4_192 = all_77_0_159
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_53_5_100, all_89_4_192 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_89_4_192, vmul(all_0_9_9, all_0_6_6) = all_53_5_100, yields:
% 9.22/2.69 | (325) all_89_4_192 = all_53_5_100
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_51_4_94, all_93_4_201 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_93_4_201, vmul(all_0_9_9, all_0_6_6) = all_51_4_94, yields:
% 9.22/2.69 | (326) all_93_4_201 = all_51_4_94
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_47_6_87, all_77_0_159 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_77_0_159, vmul(all_0_9_9, all_0_6_6) = all_47_6_87, yields:
% 9.22/2.69 | (327) all_77_0_159 = all_47_6_87
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_45_3_80, all_103_5_226 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_103_5_226, vmul(all_0_9_9, all_0_6_6) = all_45_3_80, yields:
% 9.22/2.69 | (328) all_103_5_226 = all_45_3_80
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_43_3_76, all_77_0_159 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_77_0_159, vmul(all_0_9_9, all_0_6_6) = all_43_3_76, yields:
% 9.22/2.69 | (329) all_77_0_159 = all_43_3_76
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with all_0_9_9, all_0_6_6, all_31_2_44, all_51_4_94 and discharging atoms vmul(all_0_9_9, all_0_6_6) = all_51_4_94, vmul(all_0_9_9, all_0_6_6) = all_31_2_44, yields:
% 9.22/2.69 | (330) all_51_4_94 = all_31_2_44
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_85_6_182, all_99_6_214 and discharging atoms vmul(vd411, all_0_3_3) = all_99_6_214, vmul(vd411, all_0_3_3) = all_85_6_182, yields:
% 9.22/2.69 | (331) all_99_6_214 = all_85_6_182
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_83_4_175, all_85_6_182 and discharging atoms vmul(vd411, all_0_3_3) = all_85_6_182, vmul(vd411, all_0_3_3) = all_83_4_175, yields:
% 9.22/2.69 | (332) all_85_6_182 = all_83_4_175
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_73_6_150, all_75_7_158 and discharging atoms vmul(vd411, all_0_3_3) = all_75_7_158, vmul(vd411, all_0_3_3) = all_73_6_150, yields:
% 9.22/2.69 | (333) all_75_7_158 = all_73_6_150
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_59_3_115, all_0_1_1 and discharging atoms vmul(vd411, all_0_3_3) = all_59_3_115, vmul(vd411, all_0_3_3) = all_0_1_1, yields:
% 9.22/2.69 | (334) all_59_3_115 = all_0_1_1
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_59_3_115, all_83_4_175 and discharging atoms vmul(vd411, all_0_3_3) = all_83_4_175, vmul(vd411, all_0_3_3) = all_59_3_115, yields:
% 9.22/2.69 | (335) all_83_4_175 = all_59_3_115
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_59_3_115, all_73_6_150 and discharging atoms vmul(vd411, all_0_3_3) = all_73_6_150, vmul(vd411, all_0_3_3) = all_59_3_115, yields:
% 9.22/2.69 | (336) all_73_6_150 = all_59_3_115
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_57_5_111, all_75_7_158 and discharging atoms vmul(vd411, all_0_3_3) = all_75_7_158, vmul(vd411, all_0_3_3) = all_57_5_111, yields:
% 9.22/2.69 | (337) all_75_7_158 = all_57_5_111
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_3_3, all_55_4_105, all_99_6_214 and discharging atoms vmul(vd411, all_0_3_3) = all_99_6_214, vmul(vd411, all_0_3_3) = all_55_4_105, yields:
% 9.22/2.69 | (338) all_99_6_214 = all_55_4_105
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_111_6_247, all_0_4_4 and discharging atoms vmul(vd411, all_0_6_6) = all_111_6_247, vmul(vd411, all_0_6_6) = all_0_4_4, yields:
% 9.22/2.69 | (339) all_111_6_247 = all_0_4_4
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_111_6_247, all_113_6_254 and discharging atoms vmul(vd411, all_0_6_6) = all_113_6_254, vmul(vd411, all_0_6_6) = all_111_6_247, yields:
% 9.22/2.69 | (340) all_113_6_254 = all_111_6_247
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_107_4_234, all_113_6_254 and discharging atoms vmul(vd411, all_0_6_6) = all_113_6_254, vmul(vd411, all_0_6_6) = all_107_4_234, yields:
% 9.22/2.69 | (341) all_113_6_254 = all_107_4_234
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_97_0_207, all_109_5_240 and discharging atoms vmul(vd411, all_0_6_6) = all_109_5_240, vmul(vd411, all_0_6_6) = all_97_0_207, yields:
% 9.22/2.69 | (342) all_109_5_240 = all_97_0_207
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_95_4_206, all_109_5_240 and discharging atoms vmul(vd411, all_0_6_6) = all_109_5_240, vmul(vd411, all_0_6_6) = all_95_4_206, yields:
% 9.22/2.69 | (343) all_109_5_240 = all_95_4_206
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_93_3_200, all_111_6_247 and discharging atoms vmul(vd411, all_0_6_6) = all_111_6_247, vmul(vd411, all_0_6_6) = all_93_3_200, yields:
% 9.22/2.69 | (344) all_111_6_247 = all_93_3_200
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_91_3_196, all_109_5_240 and discharging atoms vmul(vd411, all_0_6_6) = all_109_5_240, vmul(vd411, all_0_6_6) = all_91_3_196, yields:
% 9.22/2.69 | (345) all_109_5_240 = all_91_3_196
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_89_3_191, all_93_3_200 and discharging atoms vmul(vd411, all_0_6_6) = all_93_3_200, vmul(vd411, all_0_6_6) = all_89_3_191, yields:
% 9.22/2.69 | (346) all_93_3_200 = all_89_3_191
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_39_7_68, all_109_5_240 and discharging atoms vmul(vd411, all_0_6_6) = all_109_5_240, vmul(vd411, all_0_6_6) = all_39_7_68, yields:
% 9.22/2.69 | (347) all_109_5_240 = all_39_7_68
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_39_7_68, all_93_3_200 and discharging atoms vmul(vd411, all_0_6_6) = all_93_3_200, vmul(vd411, all_0_6_6) = all_39_7_68, yields:
% 9.22/2.69 | (348) all_93_3_200 = all_39_7_68
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (9) with vd411, all_0_6_6, all_37_6_60, all_97_0_207 and discharging atoms vmul(vd411, all_0_6_6) = all_97_0_207, vmul(vd411, all_0_6_6) = all_37_6_60, yields:
% 9.22/2.69 | (349) all_97_0_207 = all_37_6_60
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_4_4, vd411, all_53_4_99, all_103_1_222 and discharging atoms vplus(all_0_4_4, vd411) = all_103_1_222, vplus(all_0_4_4, vd411) = all_53_4_99, yields:
% 9.22/2.69 | (350) all_103_1_222 = all_53_4_99
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_5_5, all_0_9_9, all_91_1_194, all_107_0_230 and discharging atoms vplus(all_0_5_5, all_0_9_9) = all_107_0_230, vplus(all_0_5_5, all_0_9_9) = all_91_1_194, yields:
% 9.22/2.69 | (351) all_107_0_230 = all_91_1_194
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_5_5, all_0_9_9, all_43_2_75, all_91_1_194 and discharging atoms vplus(all_0_5_5, all_0_9_9) = all_91_1_194, vplus(all_0_5_5, all_0_9_9) = all_43_2_75, yields:
% 9.22/2.69 | (352) all_91_1_194 = all_43_2_75
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_5_5, all_0_9_9, all_31_0_42, all_107_0_230 and discharging atoms vplus(all_0_5_5, all_0_9_9) = all_107_0_230, vplus(all_0_5_5, all_0_9_9) = all_31_0_42, yields:
% 9.22/2.69 | (353) all_107_0_230 = all_31_0_42
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_6_6, all_0_9_9, all_95_1_203, all_109_3_238 and discharging atoms vplus(all_0_6_6, all_0_9_9) = all_109_3_238, vplus(all_0_6_6, all_0_9_9) = all_95_1_203, yields:
% 9.22/2.69 | (354) all_109_3_238 = all_95_1_203
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_6_6, all_0_9_9, all_51_3_93, all_95_1_203 and discharging atoms vplus(all_0_6_6, all_0_9_9) = all_95_1_203, vplus(all_0_6_6, all_0_9_9) = all_51_3_93, yields:
% 9.22/2.69 | (355) all_95_1_203 = all_51_3_93
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_6_6, all_0_9_9, all_43_1_74, all_109_3_238 and discharging atoms vplus(all_0_6_6, all_0_9_9) = all_109_3_238, vplus(all_0_6_6, all_0_9_9) = all_43_1_74, yields:
% 9.22/2.69 | (356) all_109_3_238 = all_43_1_74
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_9_9, all_0_6_6, all_101_4_219, all_109_1_236 and discharging atoms vplus(all_0_9_9, all_0_6_6) = all_109_1_236, vplus(all_0_9_9, all_0_6_6) = all_101_4_219, yields:
% 9.22/2.69 | (357) all_109_1_236 = all_101_4_219
% 9.22/2.69 |
% 9.22/2.69 | Instantiating formula (23) with all_0_9_9, all_0_6_6, all_51_1_91, all_101_4_219 and discharging atoms vplus(all_0_9_9, all_0_6_6) = all_101_4_219, vplus(all_0_9_9, all_0_6_6) = all_51_1_91, yields:
% 9.22/2.70 | (358) all_101_4_219 = all_51_1_91
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with all_0_9_9, all_0_6_6, all_37_4_58, all_109_1_236 and discharging atoms vplus(all_0_9_9, all_0_6_6) = all_109_1_236, vplus(all_0_9_9, all_0_6_6) = all_37_4_58, yields:
% 9.22/2.70 | (359) all_109_1_236 = all_37_4_58
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with vd411, all_0_3_3, all_73_2_146, all_75_5_156 and discharging atoms vplus(vd411, all_0_3_3) = all_75_5_156, vplus(vd411, all_0_3_3) = all_73_2_146, yields:
% 9.22/2.70 | (360) all_75_5_156 = all_73_2_146
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with vd411, all_0_3_3, all_71_2_140, all_75_5_156 and discharging atoms vplus(vd411, all_0_3_3) = all_75_5_156, vplus(vd411, all_0_3_3) = all_71_2_140, yields:
% 9.22/2.70 | (361) all_75_5_156 = all_71_2_140
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with vd411, all_0_3_3, all_67_5_135, all_75_5_156 and discharging atoms vplus(vd411, all_0_3_3) = all_75_5_156, vplus(vd411, all_0_3_3) = all_67_5_135, yields:
% 9.22/2.70 | (362) all_75_5_156 = all_67_5_135
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with vd411, all_0_6_6, all_47_5_86, all_101_2_217 and discharging atoms vplus(vd411, all_0_6_6) = all_101_2_217, vplus(vd411, all_0_6_6) = all_47_5_86, yields:
% 9.22/2.70 | (363) all_101_2_217 = all_47_5_86
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with vd411, all_0_6_6, all_39_5_66, all_47_5_86 and discharging atoms vplus(vd411, all_0_6_6) = all_47_5_86, vplus(vd411, all_0_6_6) = all_39_5_66, yields:
% 9.22/2.70 | (364) all_47_5_86 = all_39_5_66
% 9.22/2.70 |
% 9.22/2.70 | Instantiating formula (23) with vd411, all_0_6_6, all_37_2_56, all_101_2_217 and discharging atoms vplus(vd411, all_0_6_6) = all_101_2_217, vplus(vd411, all_0_6_6) = all_37_2_56, yields:
% 9.22/2.70 | (365) all_101_2_217 = all_37_2_56
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (312,315) yields a new equation:
% 9.22/2.70 | (366) all_111_4_245 = all_53_3_98
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 366 yields:
% 9.22/2.70 | (367) all_111_4_245 = all_53_3_98
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (340,341) yields a new equation:
% 9.22/2.70 | (368) all_111_6_247 = all_107_4_234
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 368 yields:
% 9.22/2.70 | (369) all_111_6_247 = all_107_4_234
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (314,367) yields a new equation:
% 9.22/2.70 | (370) all_107_2_232 = all_53_3_98
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 370 yields:
% 9.22/2.70 | (371) all_107_2_232 = all_53_3_98
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (344,369) yields a new equation:
% 9.22/2.70 | (372) all_107_4_234 = all_93_3_200
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (339,369) yields a new equation:
% 9.22/2.70 | (373) all_107_4_234 = all_0_4_4
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (357,359) yields a new equation:
% 9.22/2.70 | (374) all_101_4_219 = all_37_4_58
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 374 yields:
% 9.22/2.70 | (375) all_101_4_219 = all_37_4_58
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (354,356) yields a new equation:
% 9.22/2.70 | (376) all_95_1_203 = all_43_1_74
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 376 yields:
% 9.22/2.70 | (377) all_95_1_203 = all_43_1_74
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (342,343) yields a new equation:
% 9.22/2.70 | (378) all_97_0_207 = all_95_4_206
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 378 yields:
% 9.22/2.70 | (379) all_97_0_207 = all_95_4_206
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (345,343) yields a new equation:
% 9.22/2.70 | (380) all_95_4_206 = all_91_3_196
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (347,343) yields a new equation:
% 9.22/2.70 | (381) all_95_4_206 = all_39_7_68
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (351,353) yields a new equation:
% 9.22/2.70 | (382) all_91_1_194 = all_31_0_42
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 382 yields:
% 9.22/2.70 | (383) all_91_1_194 = all_31_0_42
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (316,371) yields a new equation:
% 9.22/2.70 | (384) all_53_3_98 = all_47_2_83
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (313,371) yields a new equation:
% 9.22/2.70 | (385) all_53_3_98 = all_0_3_3
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (372,373) yields a new equation:
% 9.22/2.70 | (386) all_93_3_200 = all_0_4_4
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 386 yields:
% 9.22/2.70 | (387) all_93_3_200 = all_0_4_4
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (317,318) yields a new equation:
% 9.22/2.70 | (388) all_47_2_83 = all_45_2_79
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 388 yields:
% 9.22/2.70 | (389) all_47_2_83 = all_45_2_79
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (321,320) yields a new equation:
% 9.22/2.70 | (390) all_101_5_220 = all_93_4_201
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (328,320) yields a new equation:
% 9.22/2.70 | (391) all_101_5_220 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (363,365) yields a new equation:
% 9.22/2.70 | (392) all_47_5_86 = all_37_2_56
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 392 yields:
% 9.22/2.70 | (393) all_47_5_86 = all_37_2_56
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (358,375) yields a new equation:
% 9.22/2.70 | (394) all_51_1_91 = all_37_4_58
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 394 yields:
% 9.22/2.70 | (395) all_51_1_91 = all_37_4_58
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (390,391) yields a new equation:
% 9.22/2.70 | (396) all_93_4_201 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 396 yields:
% 9.22/2.70 | (397) all_93_4_201 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (331,338) yields a new equation:
% 9.22/2.70 | (398) all_85_6_182 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 398 yields:
% 9.22/2.70 | (399) all_85_6_182 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (379,349) yields a new equation:
% 9.22/2.70 | (400) all_95_4_206 = all_37_6_60
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 400 yields:
% 9.22/2.70 | (401) all_95_4_206 = all_37_6_60
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (355,377) yields a new equation:
% 9.22/2.70 | (402) all_51_3_93 = all_43_1_74
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 402 yields:
% 9.22/2.70 | (403) all_51_3_93 = all_43_1_74
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (381,380) yields a new equation:
% 9.22/2.70 | (404) all_91_3_196 = all_39_7_68
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (401,380) yields a new equation:
% 9.22/2.70 | (405) all_91_3_196 = all_37_6_60
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (348,346) yields a new equation:
% 9.22/2.70 | (406) all_89_3_191 = all_39_7_68
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (387,346) yields a new equation:
% 9.22/2.70 | (407) all_89_3_191 = all_0_4_4
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (323,397) yields a new equation:
% 9.22/2.70 | (408) all_77_0_159 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 408 yields:
% 9.22/2.70 | (409) all_77_0_159 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (326,397) yields a new equation:
% 9.22/2.70 | (410) all_51_4_94 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 410 yields:
% 9.22/2.70 | (411) all_51_4_94 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (352,383) yields a new equation:
% 9.22/2.70 | (412) all_43_2_75 = all_31_0_42
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 412 yields:
% 9.22/2.70 | (413) all_43_2_75 = all_31_0_42
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (404,405) yields a new equation:
% 9.22/2.70 | (414) all_39_7_68 = all_37_6_60
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 414 yields:
% 9.22/2.70 | (415) all_39_7_68 = all_37_6_60
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (406,407) yields a new equation:
% 9.22/2.70 | (416) all_39_7_68 = all_0_4_4
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 416 yields:
% 9.22/2.70 | (417) all_39_7_68 = all_0_4_4
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (322,325) yields a new equation:
% 9.22/2.70 | (418) all_53_5_100 = all_0_5_5
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (324,325) yields a new equation:
% 9.22/2.70 | (419) all_77_0_159 = all_53_5_100
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 419 yields:
% 9.22/2.70 | (420) all_77_0_159 = all_53_5_100
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (332,399) yields a new equation:
% 9.22/2.70 | (421) all_83_4_175 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 421 yields:
% 9.22/2.70 | (422) all_83_4_175 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (335,422) yields a new equation:
% 9.22/2.70 | (423) all_59_3_115 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 423 yields:
% 9.22/2.70 | (424) all_59_3_115 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (420,327) yields a new equation:
% 9.22/2.70 | (425) all_53_5_100 = all_47_6_87
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 425 yields:
% 9.22/2.70 | (426) all_53_5_100 = all_47_6_87
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (329,327) yields a new equation:
% 9.22/2.70 | (427) all_47_6_87 = all_43_3_76
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (409,327) yields a new equation:
% 9.22/2.70 | (428) all_47_6_87 = all_45_3_80
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (361,360) yields a new equation:
% 9.22/2.70 | (429) all_73_2_146 = all_71_2_140
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (362,360) yields a new equation:
% 9.22/2.70 | (430) all_73_2_146 = all_67_5_135
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (333,337) yields a new equation:
% 9.22/2.70 | (431) all_73_6_150 = all_57_5_111
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 431 yields:
% 9.22/2.70 | (432) all_73_6_150 = all_57_5_111
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (430,429) yields a new equation:
% 9.22/2.70 | (433) all_71_2_140 = all_67_5_135
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (336,432) yields a new equation:
% 9.22/2.70 | (434) all_59_3_115 = all_57_5_111
% 9.22/2.70 |
% 9.22/2.70 | Simplifying 434 yields:
% 9.22/2.70 | (435) all_59_3_115 = all_57_5_111
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (334,435) yields a new equation:
% 9.22/2.70 | (436) all_57_5_111 = all_0_1_1
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (424,435) yields a new equation:
% 9.22/2.70 | (437) all_57_5_111 = all_55_4_105
% 9.22/2.70 |
% 9.22/2.70 | Combining equations (436,437) yields a new equation:
% 9.22/2.70 | (438) all_55_4_105 = all_0_1_1
% 9.22/2.70 |
% 9.22/2.71 | Combining equations (384,385) yields a new equation:
% 9.22/2.71 | (439) all_47_2_83 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 439 yields:
% 9.22/2.71 | (440) all_47_2_83 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (426,418) yields a new equation:
% 9.22/2.71 | (441) all_47_6_87 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 441 yields:
% 9.22/2.71 | (442) all_47_6_87 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (411,330) yields a new equation:
% 9.22/2.71 | (443) all_45_3_80 = all_31_2_44
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 443 yields:
% 9.22/2.71 | (444) all_45_3_80 = all_31_2_44
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (319,389) yields a new equation:
% 9.22/2.71 | (445) all_45_2_79 = all_39_2_63
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (440,389) yields a new equation:
% 9.22/2.71 | (446) all_45_2_79 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (364,393) yields a new equation:
% 9.22/2.71 | (447) all_39_5_66 = all_37_2_56
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 447 yields:
% 9.22/2.71 | (448) all_39_5_66 = all_37_2_56
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (428,427) yields a new equation:
% 9.22/2.71 | (449) all_45_3_80 = all_43_3_76
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 449 yields:
% 9.22/2.71 | (450) all_45_3_80 = all_43_3_76
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (442,427) yields a new equation:
% 9.22/2.71 | (451) all_43_3_76 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (445,446) yields a new equation:
% 9.22/2.71 | (452) all_39_2_63 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 452 yields:
% 9.22/2.71 | (453) all_39_2_63 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (450,444) yields a new equation:
% 9.22/2.71 | (454) all_43_3_76 = all_31_2_44
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 454 yields:
% 9.22/2.71 | (455) all_43_3_76 = all_31_2_44
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (455,451) yields a new equation:
% 9.22/2.71 | (456) all_31_2_44 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 456 yields:
% 9.22/2.71 | (457) all_31_2_44 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (415,417) yields a new equation:
% 9.22/2.71 | (458) all_37_6_60 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Simplifying 458 yields:
% 9.22/2.71 | (459) all_37_6_60 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (457,444) yields a new equation:
% 9.22/2.71 | (460) all_45_3_80 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (451,427) yields a new equation:
% 9.22/2.71 | (442) all_47_6_87 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (446,389) yields a new equation:
% 9.22/2.71 | (440) all_47_2_83 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (457,330) yields a new equation:
% 9.22/2.71 | (463) all_51_4_94 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (442,327) yields a new equation:
% 9.22/2.71 | (464) all_77_0_159 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (418,325) yields a new equation:
% 9.22/2.71 | (322) all_89_4_192 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (459,405) yields a new equation:
% 9.22/2.71 | (466) all_91_3_196 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (460,397) yields a new equation:
% 9.22/2.71 | (467) all_93_4_201 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (407,346) yields a new equation:
% 9.22/2.71 | (387) all_93_3_200 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (466,380) yields a new equation:
% 9.22/2.71 | (469) all_95_4_206 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (459,349) yields a new equation:
% 9.22/2.71 | (470) all_97_0_207 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (460,391) yields a new equation:
% 9.22/2.71 | (471) all_101_5_220 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (471,320) yields a new equation:
% 9.22/2.71 | (472) all_103_5_226 = all_0_5_5
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (446,318) yields a new equation:
% 9.22/2.71 | (473) all_103_4_225 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (469,343) yields a new equation:
% 9.22/2.71 | (474) all_109_5_240 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (373,369) yields a new equation:
% 9.22/2.71 | (339) all_111_6_247 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (385,367) yields a new equation:
% 9.22/2.71 | (476) all_111_4_245 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (373,341) yields a new equation:
% 9.22/2.71 | (477) all_113_6_254 = all_0_4_4
% 9.22/2.71 |
% 9.22/2.71 | Combining equations (385,315) yields a new equation:
% 9.22/2.71 | (478) all_113_3_251 = all_0_3_3
% 9.22/2.71 |
% 9.22/2.71 | From (365) and (265) follows:
% 9.22/2.71 | (479) vsucc(all_37_2_56) = all_101_1_216
% 9.22/2.71 |
% 9.22/2.71 | From (393) and (130) follows:
% 9.22/2.71 | (480) vsucc(all_37_2_56) = all_47_4_85
% 9.22/2.71 |
% 9.22/2.71 | From (448) and (111) follows:
% 9.22/2.71 | (481) vsucc(all_37_2_56) = all_39_4_65
% 9.22/2.71 |
% 9.22/2.71 | From (478) and (305) follows:
% 9.22/2.71 | (482) vmul(vd411, all_0_3_3) = all_113_1_249
% 9.22/2.71 |
% 9.22/2.71 | From (385) and (147) follows:
% 9.22/2.71 | (483) vmul(vd411, all_0_3_3) = all_53_1_96
% 9.22/2.71 |
% 9.22/2.71 | From (438) and (151) follows:
% 9.22/2.71 | (5) vmul(vd411, all_0_3_3) = all_0_1_1
% 9.22/2.71 |
% 9.22/2.71 | From (478) and (309) follows:
% 9.22/2.71 | (485) vplus(all_113_1_249, all_0_3_3) = all_113_0_248
% 9.22/2.71 |
% 9.22/2.71 | From (477) and (308) follows:
% 9.22/2.71 | (486) vplus(all_0_4_4, all_0_6_6) = all_113_5_253
% 9.22/2.71 |
% 9.22/2.71 | From (477) and (310) follows:
% 9.22/2.71 | (487) vplus(all_0_4_4, vd411) = all_113_4_252
% 9.22/2.71 |
% 9.22/2.71 | From (476) and (298) follows:
% 9.22/2.71 | (488) vplus(all_111_1_242, all_0_3_3) = all_111_0_241
% 9.22/2.71 |
% 9.22/2.71 | From (339) and (302) follows:
% 9.22/2.71 | (489) vplus(all_0_4_4, all_111_3_244) = all_111_2_243
% 9.22/2.71 |
% 9.22/2.71 | From (339) and (301) follows:
% 9.22/2.71 | (490) vplus(all_0_4_4, all_0_6_6) = all_111_5_246
% 9.22/2.71 |
% 9.22/2.71 | From (339) and (295) follows:
% 9.22/2.71 | (491) vplus(all_0_4_4, vd411) = all_111_1_242
% 9.22/2.71 |
% 9.22/2.71 | From (474)(359) and (293) follows:
% 9.22/2.71 | (492) vplus(all_0_4_4, all_37_4_58) = all_109_0_235
% 9.22/2.71 |
% 9.22/2.71 | From (474)(356) and (292) follows:
% 9.22/2.71 | (493) vplus(all_0_4_4, all_43_1_74) = all_109_2_237
% 9.22/2.71 |
% 9.22/2.71 | From (474) and (289) follows:
% 9.22/2.71 | (494) vplus(all_0_4_4, all_0_6_6) = all_109_4_239
% 9.22/2.71 |
% 9.22/2.71 | From (373) and (283) follows:
% 9.22/2.71 | (495) vplus(all_0_4_4, all_0_6_6) = all_107_3_233
% 9.22/2.71 |
% 9.22/2.71 | From (350)(473) and (276) follows:
% 9.22/2.71 | (496) vplus(all_53_4_99, all_0_3_3) = all_103_0_221
% 9.22/2.71 |
% 9.22/2.71 | From (470) and (253) follows:
% 9.22/2.71 | (497) vplus(all_0_4_4, vd411) = all_0_1_1
% 9.22/2.71 |
% 9.22/2.71 | From (469)(377) and (248) follows:
% 9.22/2.71 | (498) vplus(all_0_4_4, all_43_1_74) = all_95_0_202
% 9.22/2.71 |
% 9.22/2.71 | From (469) and (245) follows:
% 9.22/2.72 | (499) vplus(all_0_4_4, all_0_6_6) = all_95_3_205
% 9.22/2.72 |
% 9.22/2.72 | From (387) and (240) follows:
% 9.22/2.72 | (500) vplus(all_0_4_4, all_0_6_6) = all_93_2_199
% 9.22/2.72 |
% 9.22/2.72 | From (467) and (242) follows:
% 9.22/2.72 | (501) vplus(all_0_5_5, all_0_9_9) = all_93_0_197
% 9.22/2.72 |
% 9.22/2.72 | From (466) and (232) follows:
% 9.22/2.72 | (502) vplus(all_0_4_4, all_0_6_6) = all_91_2_195
% 9.22/2.72 |
% 9.22/2.72 | From (407) and (228) follows:
% 9.22/2.72 | (503) vplus(all_0_4_4, all_0_6_6) = all_89_2_190
% 9.22/2.72 |
% 9.22/2.72 | From (407) and (225) follows:
% 9.22/2.72 | (504) vplus(all_0_4_4, vd411) = all_89_1_189
% 9.22/2.72 |
% 9.22/2.72 | From (464) and (207) follows:
% 9.47/2.72 | (505) vplus(all_0_5_5, all_0_9_9) = all_0_2_2
% 9.47/2.72 |
% 9.47/2.72 | From (385) and (141) follows:
% 9.47/2.72 | (506) vplus(all_53_4_99, all_0_3_3) = all_53_2_97
% 9.47/2.72 |
% 9.47/2.72 | From (460) and (123) follows:
% 9.47/2.72 | (507) vplus(all_0_5_5, all_0_9_9) = all_45_0_77
% 9.47/2.72 |
% 9.47/2.72 | From (417) and (109) follows:
% 9.47/2.72 | (508) vplus(all_0_4_4, all_39_1_62) = all_39_0_61
% 9.47/2.72 |
% 9.47/2.72 | From (417) and (103) follows:
% 9.47/2.72 | (509) vplus(all_0_4_4, all_0_6_6) = all_39_6_67
% 9.47/2.72 |
% 9.47/2.72 | From (459) and (94) follows:
% 9.47/2.72 | (510) vplus(all_0_4_4, all_37_1_55) = all_37_0_54
% 9.47/2.72 |
% 9.47/2.72 | From (459) and (101) follows:
% 9.47/2.72 | (511) vplus(all_0_4_4, all_37_4_58) = all_37_3_57
% 9.47/2.72 |
% 9.47/2.72 | From (459) and (95) follows:
% 9.47/2.72 | (512) vplus(all_0_4_4, all_0_6_6) = all_37_5_59
% 9.47/2.72 |
% 9.47/2.72 | From (375) and (264) follows:
% 9.47/2.72 | (513) vplus(all_0_4_4, all_37_4_58) = all_101_3_218
% 9.47/2.72 |
% 9.47/2.72 | From (395) and (135) follows:
% 9.47/2.72 | (514) vplus(all_0_4_4, all_37_4_58) = all_51_0_90
% 9.47/2.72 |
% 9.47/2.72 | From (403) and (138) follows:
% 9.47/2.72 | (515) vplus(all_0_4_4, all_43_1_74) = all_51_2_92
% 9.47/2.72 |
% 9.47/2.72 | From (350) and (272) follows:
% 9.47/2.72 | (146) vplus(all_0_4_4, vd411) = all_53_4_99
% 9.47/2.72 |
% 9.47/2.72 | From (413) and (114) follows:
% 9.47/2.72 | (91) vplus(all_0_5_5, all_0_9_9) = all_31_0_42
% 9.47/2.72 |
% 9.47/2.72 | From (476) and (296) follows:
% 9.47/2.72 | (518) vplus(vd411, all_0_3_3) = all_111_3_244
% 9.47/2.72 |
% 9.47/2.72 | From (473) and (277) follows:
% 9.47/2.72 | (519) vplus(vd411, all_0_3_3) = all_103_3_224
% 9.47/2.72 |
% 9.47/2.72 | From (440) and (129) follows:
% 9.47/2.72 | (520) vplus(vd411, all_0_3_3) = all_47_1_82
% 9.47/2.72 |
% 9.47/2.72 | From (453) and (108) follows:
% 9.47/2.72 | (521) vplus(vd411, all_0_3_3) = all_39_1_62
% 9.47/2.72 |
% 9.47/2.72 | From (433) and (180) follows:
% 9.47/2.72 | (170) vplus(vd411, all_0_3_3) = all_67_5_135
% 9.47/2.72 |
% 9.47/2.72 +-Applying beta-rule and splitting (92), into two cases.
% 9.47/2.72 |-Branch one:
% 9.47/2.72 | (523) ~ (all_31_2_44 = all_0_5_5)
% 9.47/2.72 |
% 9.47/2.72 | Equations (457) can reduce 523 to:
% 9.47/2.72 | (524) $false
% 9.47/2.72 |
% 9.47/2.72 |-The branch is then unsatisfiable
% 9.47/2.72 |-Branch two:
% 9.47/2.72 | (457) all_31_2_44 = all_0_5_5
% 9.47/2.72 | (526) all_31_0_42 = all_31_1_43
% 9.47/2.72 |
% 9.47/2.72 | Combining equations (526,413) yields a new equation:
% 9.47/2.72 | (527) all_43_2_75 = all_31_1_43
% 9.47/2.72 |
% 9.47/2.72 | From (526) and (91) follows:
% 9.47/2.72 | (528) vplus(all_0_5_5, all_0_9_9) = all_31_1_43
% 9.47/2.72 |
% 9.47/2.72 +-Applying beta-rule and splitting (113), into two cases.
% 9.47/2.72 |-Branch one:
% 9.47/2.72 | (529) ~ (all_43_3_76 = all_0_5_5)
% 9.47/2.72 |
% 9.47/2.72 | Equations (451) can reduce 529 to:
% 9.47/2.72 | (524) $false
% 9.47/2.72 |
% 9.47/2.72 |-The branch is then unsatisfiable
% 9.47/2.72 |-Branch two:
% 9.47/2.72 | (451) all_43_3_76 = all_0_5_5
% 9.47/2.72 | (532) all_43_0_73 = all_43_2_75
% 9.47/2.72 |
% 9.47/2.72 | Combining equations (527,532) yields a new equation:
% 9.47/2.72 | (533) all_43_0_73 = all_31_1_43
% 9.47/2.72 |
% 9.47/2.72 | From (533) and (116) follows:
% 9.47/2.72 | (534) vplus(all_0_4_4, all_43_1_74) = all_31_1_43
% 9.47/2.72 |
% 9.47/2.72 +-Applying beta-rule and splitting (126), into two cases.
% 9.47/2.72 |-Branch one:
% 9.47/2.72 | (535) ~ (all_47_6_87 = all_0_5_5)
% 9.47/2.72 |
% 9.47/2.72 | Equations (442) can reduce 535 to:
% 9.47/2.72 | (524) $false
% 9.47/2.72 |
% 9.47/2.72 |-The branch is then unsatisfiable
% 9.47/2.72 |-Branch two:
% 9.47/2.72 | (442) all_47_6_87 = all_0_5_5
% 9.47/2.72 | (538) all_47_0_81 = all_47_3_84
% 9.47/2.72 |
% 9.47/2.72 | From (538) and (128) follows:
% 9.47/2.72 | (539) vplus(all_0_4_4, all_47_1_82) = all_47_3_84
% 9.47/2.72 |
% 9.47/2.72 +-Applying beta-rule and splitting (122), into two cases.
% 9.47/2.72 |-Branch one:
% 9.47/2.72 | (540) ~ (all_45_3_80 = all_0_5_5)
% 9.47/2.72 |
% 9.47/2.72 | Equations (460) can reduce 540 to:
% 9.47/2.72 | (524) $false
% 9.47/2.72 |
% 9.47/2.72 |-The branch is then unsatisfiable
% 9.47/2.72 |-Branch two:
% 9.47/2.72 | (460) all_45_3_80 = all_0_5_5
% 9.47/2.72 | (543) all_45_0_77 = all_45_1_78
% 9.47/2.72 |
% 9.47/2.72 | From (543) and (507) follows:
% 9.47/2.72 | (544) vplus(all_0_5_5, all_0_9_9) = all_45_1_78
% 9.47/2.72 |
% 9.47/2.72 +-Applying beta-rule and splitting (136), into two cases.
% 9.47/2.72 |-Branch one:
% 9.47/2.72 | (545) ~ (all_51_4_94 = all_0_5_5)
% 9.47/2.72 |
% 9.47/2.72 | Equations (463) can reduce 545 to:
% 9.47/2.72 | (524) $false
% 9.47/2.72 |
% 9.47/2.72 |-The branch is then unsatisfiable
% 9.47/2.72 |-Branch two:
% 9.47/2.72 | (463) all_51_4_94 = all_0_5_5
% 9.47/2.72 | (548) all_51_0_90 = all_51_2_92
% 9.47/2.72 |
% 9.47/2.72 | From (548) and (514) follows:
% 9.47/2.72 | (549) vplus(all_0_4_4, all_37_4_58) = all_51_2_92
% 9.47/2.72 |
% 9.47/2.72 +-Applying beta-rule and splitting (273), into two cases.
% 9.47/2.72 |-Branch one:
% 9.47/2.72 | (550) ~ (all_103_5_226 = all_0_5_5)
% 9.47/2.72 |
% 9.47/2.72 | Equations (472) can reduce 550 to:
% 9.47/2.72 | (524) $false
% 9.47/2.72 |
% 9.47/2.72 |-The branch is then unsatisfiable
% 9.47/2.72 |-Branch two:
% 9.47/2.72 | (472) all_103_5_226 = all_0_5_5
% 9.47/2.72 | (553) all_103_0_221 = all_103_2_223
% 9.47/2.72 |
% 9.47/2.72 | From (553) and (496) follows:
% 9.47/2.72 | (554) vplus(all_53_4_99, all_0_3_3) = all_103_2_223
% 9.47/2.72 |
% 9.47/2.72 | Instantiating formula (46) with all_37_2_56, all_101_1_216, all_37_1_55 and discharging atoms vsucc(all_37_2_56) = all_101_1_216, vsucc(all_37_2_56) = all_37_1_55, yields:
% 9.47/2.72 | (555) all_101_1_216 = all_37_1_55
% 9.47/2.72 |
% 9.47/2.72 | Instantiating formula (46) with all_37_2_56, all_47_4_85, all_101_1_216 and discharging atoms vsucc(all_37_2_56) = all_101_1_216, vsucc(all_37_2_56) = all_47_4_85, yields:
% 9.47/2.72 | (556) all_101_1_216 = all_47_4_85
% 9.47/2.72 |
% 9.47/2.72 | Instantiating formula (46) with all_37_2_56, all_39_4_65, all_47_4_85 and discharging atoms vsucc(all_37_2_56) = all_47_4_85, vsucc(all_37_2_56) = all_39_4_65, yields:
% 9.47/2.72 | (557) all_47_4_85 = all_39_4_65
% 9.47/2.72 |
% 9.47/2.72 | Instantiating formula (9) with vd411, all_0_3_3, all_113_1_249, all_0_1_1 and discharging atoms vmul(vd411, all_0_3_3) = all_113_1_249, vmul(vd411, all_0_3_3) = all_0_1_1, yields:
% 9.47/2.72 | (558) all_113_1_249 = all_0_1_1
% 9.47/2.72 |
% 9.47/2.72 | Instantiating formula (9) with vd411, all_0_3_3, all_53_1_96, all_113_1_249 and discharging atoms vmul(vd411, all_0_3_3) = all_113_1_249, vmul(vd411, all_0_3_3) = all_53_1_96, yields:
% 9.47/2.73 | (559) all_113_1_249 = all_53_1_96
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_53_4_99, all_0_3_3, all_53_2_97, all_103_2_223 and discharging atoms vplus(all_53_4_99, all_0_3_3) = all_103_2_223, vplus(all_53_4_99, all_0_3_3) = all_53_2_97, yields:
% 9.47/2.73 | (560) all_103_2_223 = all_53_2_97
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_43_1_74, all_95_0_202, all_109_2_237 and discharging atoms vplus(all_0_4_4, all_43_1_74) = all_109_2_237, vplus(all_0_4_4, all_43_1_74) = all_95_0_202, yields:
% 9.47/2.73 | (561) all_109_2_237 = all_95_0_202
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_43_1_74, all_51_2_92, all_95_0_202 and discharging atoms vplus(all_0_4_4, all_43_1_74) = all_95_0_202, vplus(all_0_4_4, all_43_1_74) = all_51_2_92, yields:
% 9.47/2.73 | (562) all_95_0_202 = all_51_2_92
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_43_1_74, all_31_1_43, all_109_2_237 and discharging atoms vplus(all_0_4_4, all_43_1_74) = all_109_2_237, vplus(all_0_4_4, all_43_1_74) = all_31_1_43, yields:
% 9.47/2.73 | (563) all_109_2_237 = all_31_1_43
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_37_4_58, all_101_3_218, all_109_0_235 and discharging atoms vplus(all_0_4_4, all_37_4_58) = all_109_0_235, vplus(all_0_4_4, all_37_4_58) = all_101_3_218, yields:
% 9.47/2.73 | (564) all_109_0_235 = all_101_3_218
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_37_4_58, all_51_2_92, all_109_0_235 and discharging atoms vplus(all_0_4_4, all_37_4_58) = all_109_0_235, vplus(all_0_4_4, all_37_4_58) = all_51_2_92, yields:
% 9.47/2.73 | (565) all_109_0_235 = all_51_2_92
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_37_4_58, all_37_3_57, all_101_3_218 and discharging atoms vplus(all_0_4_4, all_37_4_58) = all_101_3_218, vplus(all_0_4_4, all_37_4_58) = all_37_3_57, yields:
% 9.47/2.73 | (566) all_101_3_218 = all_37_3_57
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_113_5_253, all_0_5_5 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_113_5_253, vplus(all_0_4_4, all_0_6_6) = all_0_5_5, yields:
% 9.47/2.73 | (567) all_113_5_253 = all_0_5_5
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_107_3_233, all_111_5_246 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_111_5_246, vplus(all_0_4_4, all_0_6_6) = all_107_3_233, yields:
% 9.47/2.73 | (568) all_111_5_246 = all_107_3_233
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_95_3_205, all_109_4_239 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_109_4_239, vplus(all_0_4_4, all_0_6_6) = all_95_3_205, yields:
% 9.47/2.73 | (569) all_109_4_239 = all_95_3_205
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_95_3_205, all_107_3_233 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_107_3_233, vplus(all_0_4_4, all_0_6_6) = all_95_3_205, yields:
% 9.47/2.73 | (570) all_107_3_233 = all_95_3_205
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_93_2_199, all_113_5_253 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_113_5_253, vplus(all_0_4_4, all_0_6_6) = all_93_2_199, yields:
% 9.47/2.73 | (571) all_113_5_253 = all_93_2_199
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_93_2_199, all_109_4_239 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_109_4_239, vplus(all_0_4_4, all_0_6_6) = all_93_2_199, yields:
% 9.47/2.73 | (572) all_109_4_239 = all_93_2_199
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_91_2_195, all_109_4_239 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_109_4_239, vplus(all_0_4_4, all_0_6_6) = all_91_2_195, yields:
% 9.47/2.73 | (573) all_109_4_239 = all_91_2_195
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_89_2_190, all_111_5_246 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_111_5_246, vplus(all_0_4_4, all_0_6_6) = all_89_2_190, yields:
% 9.47/2.73 | (574) all_111_5_246 = all_89_2_190
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_39_6_67, all_109_4_239 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_109_4_239, vplus(all_0_4_4, all_0_6_6) = all_39_6_67, yields:
% 9.47/2.73 | (575) all_109_4_239 = all_39_6_67
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, all_0_6_6, all_37_5_59, all_39_6_67 and discharging atoms vplus(all_0_4_4, all_0_6_6) = all_39_6_67, vplus(all_0_4_4, all_0_6_6) = all_37_5_59, yields:
% 9.47/2.73 | (576) all_39_6_67 = all_37_5_59
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, vd411, all_113_4_252, all_53_4_99 and discharging atoms vplus(all_0_4_4, vd411) = all_113_4_252, vplus(all_0_4_4, vd411) = all_53_4_99, yields:
% 9.47/2.73 | (577) all_113_4_252 = all_53_4_99
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, vd411, all_111_1_242, all_113_4_252 and discharging atoms vplus(all_0_4_4, vd411) = all_113_4_252, vplus(all_0_4_4, vd411) = all_111_1_242, yields:
% 9.47/2.73 | (578) all_113_4_252 = all_111_1_242
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, vd411, all_89_1_189, all_111_1_242 and discharging atoms vplus(all_0_4_4, vd411) = all_111_1_242, vplus(all_0_4_4, vd411) = all_89_1_189, yields:
% 9.47/2.73 | (579) all_111_1_242 = all_89_1_189
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_4_4, vd411, all_0_1_1, all_89_1_189 and discharging atoms vplus(all_0_4_4, vd411) = all_89_1_189, vplus(all_0_4_4, vd411) = all_0_1_1, yields:
% 9.47/2.73 | (580) all_89_1_189 = all_0_1_1
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_5_5, all_0_9_9, all_45_1_78, all_93_0_197 and discharging atoms vplus(all_0_5_5, all_0_9_9) = all_93_0_197, vplus(all_0_5_5, all_0_9_9) = all_45_1_78, yields:
% 9.47/2.73 | (581) all_93_0_197 = all_45_1_78
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_5_5, all_0_9_9, all_31_1_43, all_45_1_78 and discharging atoms vplus(all_0_5_5, all_0_9_9) = all_45_1_78, vplus(all_0_5_5, all_0_9_9) = all_31_1_43, yields:
% 9.47/2.73 | (582) all_45_1_78 = all_31_1_43
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with all_0_5_5, all_0_9_9, all_0_2_2, all_93_0_197 and discharging atoms vplus(all_0_5_5, all_0_9_9) = all_93_0_197, vplus(all_0_5_5, all_0_9_9) = all_0_2_2, yields:
% 9.47/2.73 | (583) all_93_0_197 = all_0_2_2
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with vd411, all_0_3_3, all_111_3_244, all_67_5_135 and discharging atoms vplus(vd411, all_0_3_3) = all_111_3_244, vplus(vd411, all_0_3_3) = all_67_5_135, yields:
% 9.47/2.73 | (584) all_111_3_244 = all_67_5_135
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with vd411, all_0_3_3, all_103_3_224, all_67_5_135 and discharging atoms vplus(vd411, all_0_3_3) = all_103_3_224, vplus(vd411, all_0_3_3) = all_67_5_135, yields:
% 9.47/2.73 | (585) all_103_3_224 = all_67_5_135
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with vd411, all_0_3_3, all_47_1_82, all_103_3_224 and discharging atoms vplus(vd411, all_0_3_3) = all_103_3_224, vplus(vd411, all_0_3_3) = all_47_1_82, yields:
% 9.47/2.73 | (586) all_103_3_224 = all_47_1_82
% 9.47/2.73 |
% 9.47/2.73 | Instantiating formula (23) with vd411, all_0_3_3, all_39_1_62, all_111_3_244 and discharging atoms vplus(vd411, all_0_3_3) = all_111_3_244, vplus(vd411, all_0_3_3) = all_39_1_62, yields:
% 9.47/2.73 | (587) all_111_3_244 = all_39_1_62
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (558,559) yields a new equation:
% 9.47/2.73 | (588) all_53_1_96 = all_0_1_1
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (578,577) yields a new equation:
% 9.47/2.73 | (589) all_111_1_242 = all_53_4_99
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 589 yields:
% 9.47/2.73 | (590) all_111_1_242 = all_53_4_99
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (571,567) yields a new equation:
% 9.47/2.73 | (591) all_93_2_199 = all_0_5_5
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 591 yields:
% 9.47/2.73 | (592) all_93_2_199 = all_0_5_5
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (579,590) yields a new equation:
% 9.47/2.73 | (593) all_89_1_189 = all_53_4_99
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 593 yields:
% 9.47/2.73 | (594) all_89_1_189 = all_53_4_99
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (584,587) yields a new equation:
% 9.47/2.73 | (595) all_67_5_135 = all_39_1_62
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 595 yields:
% 9.47/2.73 | (596) all_67_5_135 = all_39_1_62
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (568,574) yields a new equation:
% 9.47/2.73 | (597) all_107_3_233 = all_89_2_190
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 597 yields:
% 9.47/2.73 | (598) all_107_3_233 = all_89_2_190
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (564,565) yields a new equation:
% 9.47/2.73 | (599) all_101_3_218 = all_51_2_92
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 599 yields:
% 9.47/2.73 | (600) all_101_3_218 = all_51_2_92
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (561,563) yields a new equation:
% 9.47/2.73 | (601) all_95_0_202 = all_31_1_43
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 601 yields:
% 9.47/2.73 | (602) all_95_0_202 = all_31_1_43
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (569,573) yields a new equation:
% 9.47/2.73 | (603) all_95_3_205 = all_91_2_195
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 603 yields:
% 9.47/2.73 | (604) all_95_3_205 = all_91_2_195
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (575,573) yields a new equation:
% 9.47/2.73 | (605) all_91_2_195 = all_39_6_67
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (572,573) yields a new equation:
% 9.47/2.73 | (606) all_93_2_199 = all_91_2_195
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 606 yields:
% 9.47/2.73 | (607) all_93_2_199 = all_91_2_195
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (570,598) yields a new equation:
% 9.47/2.73 | (608) all_95_3_205 = all_89_2_190
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 608 yields:
% 9.47/2.73 | (609) all_95_3_205 = all_89_2_190
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (585,586) yields a new equation:
% 9.47/2.73 | (610) all_67_5_135 = all_47_1_82
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 610 yields:
% 9.47/2.73 | (611) all_67_5_135 = all_47_1_82
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (556,555) yields a new equation:
% 9.47/2.73 | (612) all_47_4_85 = all_37_1_55
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 612 yields:
% 9.47/2.73 | (613) all_47_4_85 = all_37_1_55
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (566,600) yields a new equation:
% 9.47/2.73 | (614) all_51_2_92 = all_37_3_57
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (562,602) yields a new equation:
% 9.47/2.73 | (615) all_51_2_92 = all_31_1_43
% 9.47/2.73 |
% 9.47/2.73 | Simplifying 615 yields:
% 9.47/2.73 | (616) all_51_2_92 = all_31_1_43
% 9.47/2.73 |
% 9.47/2.73 | Combining equations (604,609) yields a new equation:
% 9.47/2.73 | (617) all_91_2_195 = all_89_2_190
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 617 yields:
% 9.47/2.74 | (618) all_91_2_195 = all_89_2_190
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (581,583) yields a new equation:
% 9.47/2.74 | (619) all_45_1_78 = all_0_2_2
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 619 yields:
% 9.47/2.74 | (620) all_45_1_78 = all_0_2_2
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (607,592) yields a new equation:
% 9.47/2.74 | (621) all_91_2_195 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 621 yields:
% 9.47/2.74 | (622) all_91_2_195 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (605,618) yields a new equation:
% 9.47/2.74 | (623) all_89_2_190 = all_39_6_67
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (622,618) yields a new equation:
% 9.47/2.74 | (624) all_89_2_190 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (580,594) yields a new equation:
% 9.47/2.74 | (625) all_53_4_99 = all_0_1_1
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (623,624) yields a new equation:
% 9.47/2.74 | (626) all_39_6_67 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 626 yields:
% 9.47/2.74 | (627) all_39_6_67 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (611,596) yields a new equation:
% 9.47/2.74 | (628) all_47_1_82 = all_39_1_62
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 628 yields:
% 9.47/2.74 | (629) all_47_1_82 = all_39_1_62
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (614,616) yields a new equation:
% 9.47/2.74 | (630) all_37_3_57 = all_31_1_43
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 630 yields:
% 9.47/2.74 | (631) all_37_3_57 = all_31_1_43
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (613,557) yields a new equation:
% 9.47/2.74 | (632) all_39_4_65 = all_37_1_55
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (620,582) yields a new equation:
% 9.47/2.74 | (633) all_31_1_43 = all_0_2_2
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (576,627) yields a new equation:
% 9.47/2.74 | (634) all_37_5_59 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Simplifying 634 yields:
% 9.47/2.74 | (635) all_37_5_59 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (633,631) yields a new equation:
% 9.47/2.74 | (636) all_37_3_57 = all_0_2_2
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (632,557) yields a new equation:
% 9.47/2.74 | (613) all_47_4_85 = all_37_1_55
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (625,594) yields a new equation:
% 9.47/2.74 | (580) all_89_1_189 = all_0_1_1
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (629,586) yields a new equation:
% 9.47/2.74 | (639) all_103_3_224 = all_39_1_62
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (624,574) yields a new equation:
% 9.47/2.74 | (640) all_111_5_246 = all_0_5_5
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (625,590) yields a new equation:
% 9.47/2.74 | (641) all_111_1_242 = all_0_1_1
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (588,559) yields a new equation:
% 9.47/2.74 | (558) all_113_1_249 = all_0_1_1
% 9.47/2.74 |
% 9.47/2.74 | From (558) and (485) follows:
% 9.47/2.74 | (643) vplus(all_0_1_1, all_0_3_3) = all_113_0_248
% 9.47/2.74 |
% 9.47/2.74 | From (641) and (488) follows:
% 9.47/2.74 | (644) vplus(all_0_1_1, all_0_3_3) = all_111_0_241
% 9.47/2.74 |
% 9.47/2.74 | From (580) and (230) follows:
% 9.47/2.74 | (645) vplus(all_0_1_1, all_0_3_3) = all_89_0_188
% 9.47/2.74 |
% 9.47/2.74 | From (625) and (506) follows:
% 9.47/2.74 | (646) vplus(all_0_1_1, all_0_3_3) = all_53_2_97
% 9.47/2.74 |
% 9.47/2.74 | From (587) and (489) follows:
% 9.47/2.74 | (647) vplus(all_0_4_4, all_39_1_62) = all_111_2_243
% 9.47/2.74 |
% 9.47/2.74 | From (639)(560) and (274) follows:
% 9.47/2.74 | (648) vplus(all_0_4_4, all_39_1_62) = all_53_2_97
% 9.47/2.74 |
% 9.47/2.74 | From (629) and (539) follows:
% 9.47/2.74 | (649) vplus(all_0_4_4, all_39_1_62) = all_47_3_84
% 9.47/2.74 |
% 9.47/2.74 | From (613) and (132) follows:
% 9.47/2.74 | (650) vplus(all_0_4_4, all_37_1_55) = all_47_3_84
% 9.47/2.74 |
% 9.47/2.74 +-Applying beta-rule and splitting (297), into two cases.
% 9.47/2.74 |-Branch one:
% 9.47/2.74 | (651) ~ (all_111_5_246 = all_0_5_5)
% 9.47/2.74 |
% 9.47/2.74 | Equations (640) can reduce 651 to:
% 9.47/2.74 | (524) $false
% 9.47/2.74 |
% 9.47/2.74 |-The branch is then unsatisfiable
% 9.47/2.74 |-Branch two:
% 9.47/2.74 | (640) all_111_5_246 = all_0_5_5
% 9.47/2.74 | (654) all_111_0_241 = all_111_2_243
% 9.47/2.74 |
% 9.47/2.74 | From (654) and (644) follows:
% 9.47/2.74 | (655) vplus(all_0_1_1, all_0_3_3) = all_111_2_243
% 9.47/2.74 |
% 9.47/2.74 +-Applying beta-rule and splitting (99), into two cases.
% 9.47/2.74 |-Branch one:
% 9.47/2.74 | (656) ~ (all_37_5_59 = all_0_5_5)
% 9.47/2.74 |
% 9.47/2.74 | Equations (635) can reduce 656 to:
% 9.47/2.74 | (524) $false
% 9.47/2.74 |
% 9.47/2.74 |-The branch is then unsatisfiable
% 9.47/2.74 |-Branch two:
% 9.47/2.74 | (635) all_37_5_59 = all_0_5_5
% 9.47/2.74 | (659) all_37_0_54 = all_37_3_57
% 9.47/2.74 |
% 9.47/2.74 | Combining equations (636,659) yields a new equation:
% 9.47/2.74 | (660) all_37_0_54 = all_0_2_2
% 9.47/2.74 |
% 9.47/2.74 | From (660) and (510) follows:
% 9.47/2.74 | (661) vplus(all_0_4_4, all_37_1_55) = all_0_2_2
% 9.47/2.74 |
% 9.47/2.74 +-Applying beta-rule and splitting (227), into two cases.
% 9.47/2.74 |-Branch one:
% 9.47/2.74 | (662) ~ (all_89_2_190 = all_89_4_192)
% 9.47/2.74 |
% 9.47/2.74 | Equations (624,322) can reduce 662 to:
% 9.47/2.74 | (524) $false
% 9.47/2.74 |
% 9.47/2.74 |-The branch is then unsatisfiable
% 9.47/2.74 |-Branch two:
% 9.47/2.74 | (664) all_89_2_190 = all_89_4_192
% 9.47/2.74 | (665) all_89_0_188 = all_0_0_0
% 9.47/2.74 |
% 9.47/2.74 | From (665) and (645) follows:
% 9.47/2.74 | (43) vplus(all_0_1_1, all_0_3_3) = all_0_0_0
% 9.47/2.74 |
% 9.47/2.74 +-Applying beta-rule and splitting (307), into two cases.
% 9.47/2.74 |-Branch one:
% 9.47/2.74 | (667) ~ (all_113_5_253 = all_0_5_5)
% 9.47/2.74 |
% 9.47/2.74 | Equations (567) can reduce 667 to:
% 9.47/2.74 | (524) $false
% 9.47/2.74 |
% 9.47/2.74 |-The branch is then unsatisfiable
% 9.47/2.74 |-Branch two:
% 9.47/2.74 | (567) all_113_5_253 = all_0_5_5
% 9.47/2.74 | (670) all_113_0_248 = all_113_2_250
% 9.47/2.74 |
% 9.47/2.74 | From (670) and (643) follows:
% 9.47/2.74 | (671) vplus(all_0_1_1, all_0_3_3) = all_113_2_250
% 9.47/2.74 |
% 9.47/2.74 +-Applying beta-rule and splitting (105), into two cases.
% 9.47/2.74 |-Branch one:
% 9.47/2.74 | (672) ~ (all_39_6_67 = all_0_5_5)
% 9.47/2.74 |
% 9.47/2.74 | Equations (627) can reduce 672 to:
% 9.47/2.74 | (524) $false
% 9.47/2.74 |
% 9.47/2.74 |-The branch is then unsatisfiable
% 9.47/2.74 |-Branch two:
% 9.47/2.74 | (627) all_39_6_67 = all_0_5_5
% 9.47/2.74 | (675) all_39_0_61 = all_39_3_64
% 9.47/2.74 |
% 9.47/2.74 | From (675) and (508) follows:
% 9.47/2.74 | (676) vplus(all_0_4_4, all_39_1_62) = all_39_3_64
% 9.47/2.74 |
% 9.47/2.75 | Instantiating formula (23) with all_0_1_1, all_0_3_3, all_111_2_243, all_0_0_0 and discharging atoms vplus(all_0_1_1, all_0_3_3) = all_111_2_243, vplus(all_0_1_1, all_0_3_3) = all_0_0_0, yields:
% 9.47/2.75 | (677) all_111_2_243 = all_0_0_0
% 9.47/2.75 |
% 9.47/2.75 | Instantiating formula (23) with all_0_1_1, all_0_3_3, all_111_2_243, all_113_2_250 and discharging atoms vplus(all_0_1_1, all_0_3_3) = all_113_2_250, vplus(all_0_1_1, all_0_3_3) = all_111_2_243, yields:
% 9.47/2.75 | (678) all_113_2_250 = all_111_2_243
% 9.47/2.75 |
% 9.47/2.75 | Instantiating formula (23) with all_0_1_1, all_0_3_3, all_53_2_97, all_113_2_250 and discharging atoms vplus(all_0_1_1, all_0_3_3) = all_113_2_250, vplus(all_0_1_1, all_0_3_3) = all_53_2_97, yields:
% 9.47/2.75 | (679) all_113_2_250 = all_53_2_97
% 9.47/2.75 |
% 9.47/2.75 | Instantiating formula (23) with all_0_4_4, all_39_1_62, all_47_3_84, all_111_2_243 and discharging atoms vplus(all_0_4_4, all_39_1_62) = all_111_2_243, vplus(all_0_4_4, all_39_1_62) = all_47_3_84, yields:
% 9.47/2.75 | (680) all_111_2_243 = all_47_3_84
% 9.47/2.75 |
% 9.47/2.75 | Instantiating formula (23) with all_0_4_4, all_39_1_62, all_39_3_64, all_53_2_97 and discharging atoms vplus(all_0_4_4, all_39_1_62) = all_53_2_97, vplus(all_0_4_4, all_39_1_62) = all_39_3_64, yields:
% 9.47/2.75 | (681) all_53_2_97 = all_39_3_64
% 9.47/2.75 |
% 9.47/2.75 | Instantiating formula (23) with all_0_4_4, all_37_1_55, all_0_2_2, all_47_3_84 and discharging atoms vplus(all_0_4_4, all_37_1_55) = all_47_3_84, vplus(all_0_4_4, all_37_1_55) = all_0_2_2, yields:
% 9.47/2.75 | (682) all_47_3_84 = all_0_2_2
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (678,679) yields a new equation:
% 9.47/2.75 | (683) all_111_2_243 = all_53_2_97
% 9.47/2.75 |
% 9.47/2.75 | Simplifying 683 yields:
% 9.47/2.75 | (684) all_111_2_243 = all_53_2_97
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (677,680) yields a new equation:
% 9.47/2.75 | (685) all_47_3_84 = all_0_0_0
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (684,680) yields a new equation:
% 9.47/2.75 | (686) all_53_2_97 = all_47_3_84
% 9.47/2.75 |
% 9.47/2.75 | Simplifying 686 yields:
% 9.47/2.75 | (687) all_53_2_97 = all_47_3_84
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (687,681) yields a new equation:
% 9.47/2.75 | (688) all_47_3_84 = all_39_3_64
% 9.47/2.75 |
% 9.47/2.75 | Simplifying 688 yields:
% 9.47/2.75 | (689) all_47_3_84 = all_39_3_64
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (685,689) yields a new equation:
% 9.47/2.75 | (690) all_39_3_64 = all_0_0_0
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (682,689) yields a new equation:
% 9.47/2.75 | (691) all_39_3_64 = all_0_2_2
% 9.47/2.75 |
% 9.47/2.75 | Combining equations (690,691) yields a new equation:
% 9.47/2.75 | (692) all_0_0_0 = all_0_2_2
% 9.47/2.75 |
% 9.47/2.75 | Simplifying 692 yields:
% 9.47/2.75 | (693) all_0_0_0 = all_0_2_2
% 9.47/2.75 |
% 9.47/2.75 | Equations (693) can reduce 16 to:
% 9.47/2.75 | (524) $false
% 9.47/2.75 |
% 9.47/2.75 |-The branch is then unsatisfiable
% 9.47/2.75 % SZS output end Proof for theBenchmark
% 9.47/2.75
% 9.47/2.75 2165ms
%------------------------------------------------------------------------------