%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n024.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 08:49:09 EDT 2022 % Result : Theorem 3.27s 1.38s % Output : Proof 6.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jul 7 22:23:29 EDT 2022 % 0.12/0.33 % CPUTime : % 0.50/0.58 ____ _ % 0.50/0.58 ___ / __ \_____(_)___ ________ __________ % 0.50/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.50/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.50/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.50/0.59 % 0.50/0.59 A Theorem Prover for First-Order Logic % 0.50/0.59 (ePrincess v.1.0) % 0.50/0.59 % 0.50/0.59 (c) Philipp Rümmer, 2009-2015 % 0.50/0.59 (c) Peter Backeman, 2014-2015 % 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.50/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.50/0.59 Bug reports to peter@backeman.se % 0.50/0.59 % 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.50/0.59 % 0.50/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.69/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.32/0.91 Prover 0: Preprocessing ... % 2.42/1.21 Prover 0: Constructing countermodel ... % 3.27/1.38 Prover 0: proved (742ms) % 3.27/1.38 % 3.27/1.38 No countermodel exists, formula is valid % 3.27/1.38 % SZS status Theorem for theBenchmark % 3.27/1.38 % 3.27/1.38 Generating proof ... found it (size 296) % 5.59/1.98 % 5.59/1.98 % SZS output start Proof for theBenchmark % 5.59/1.98 Assumed formulas after preprocessing and simplification: % 5.59/1.98 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v6) & vsucc(v2) = v5 & vmul(v0, v5) = v6 & vmul(v0, v2) = v3 & vmul(vd449, v5) = v7 & vmul(vd449, v2) = v4 & vmul(vd449, v1) = v1 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v3 & vmul(vd448, v1) = v0 & vmul(vd448, vd449) = v0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (vplus(v12, v13) = v14) | ~ (vmul(v9, v11) = v13) | ~ (vmul(v9, v10) = v12) | ? [v15] : (vplus(v10, v11) = v15 & vmul(v9, v15) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (vplus(v10, v11) = v12) | ~ (vmul(v9, v12) = v13) | ? [v14] : ? [v15] : (vplus(v14, v15) = v13 & vmul(v9, v11) = v15 & vmul(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (vplus(v12, v11) = v10) | ~ (vplus(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (vmul(v12, v11) = v10) | ~ (vmul(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (vsucc(v10) = v11) | ~ (vplus(v9, v11) = v12) | ? [v13] : (vsucc(v13) = v12 & vplus(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (vsucc(v10) = v11) | ~ (vmul(v9, v11) = v12) | ? [v13] : (vplus(v13, v9) = v12 & vmul(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (vsucc(v9) = v11) | ~ (vmul(v11, v10) = v12) | ? [v13] : (vplus(v13, v10) = v12 & vmul(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (vplus(v11, v10) = v12) | ~ (vmul(v9, v10) = v11) | ? [v13] : (vsucc(v9) = v13 & vmul(v13, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (vplus(v11, v9) = v12) | ~ (vmul(v9, v10) = v11) | ? [v13] : (vsucc(v10) = v13 & vmul(v9, v13) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (vsucc(v11) = v10) | ~ (vsucc(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (vplus(v10, v9) = v11) | vplus(v9, v10) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (vplus(v9, v10) = v11) | vplus(v10, v9) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (vplus(v9, v10) = v11) | ? [v12] : ? [v13] : (vsucc(v11) = v13 & vsucc(v10) = v12 & vplus(v9, v12) = v13)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (vmul(v10, v9) = v11) | vmul(v9, v10) = v11) & ! [v9] : ! [v10] : ! [v11] : ( ~ (vmul(v9, v10) = v11) | vmul(v10, v9) = v11) & ! [v9] : ! [v10] : (v10 = v9 | ~ (vmul(v9, v1) = v10)) & ! [v9] : ! [v10] : ( ~ (vsucc(v9) = v10) | vplus(v9, v1) = v10) & ! [v9] : ! [v10] : ( ~ (vsucc(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vplus(v12, vd449) = v14 & vmul(v0, v9) = v11 & vmul(vd449, v10) = v16 & vmul(vd449, v9) = v12 & vmul(vd448, v16) = v17 & vmul(vd448, v14) = v15 & vmul(vd448, v12) = v13 & ( ~ (v13 = v11) | v17 = v15))) & ! [v9] : ! [v10] : ( ~ (vsucc(v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (vplus(v11, v0) = v15 & vmul(v0, v10) = v14 & vmul(v0, v9) = v11 & vmul(vd449, v9) = v12 & vmul(vd448, v12) = v13 & ( ~ (v13 = v11) | v15 = v14))) & ! [v9] : ! [v10] : ( ~ (vplus(v9, v1) = v10) | vsucc(v9) = v10) & ! [v9] : ! [v10] : ( ~ (vmul(v0, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vsucc(v9) = v15 & vplus(v11, vd449) = v13 & vmul(vd449, v15) = v16 & vmul(vd449, v9) = v11 & vmul(vd448, v16) = v17 & vmul(vd448, v13) = v14 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v17 = v14))) & ! [v9] : ! [v10] : ( ~ (vmul(v0, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (vsucc(v9) = v13 & vplus(v10, v0) = v15 & vmul(v0, v13) = v14 & vmul(vd449, v9) = v11 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v15 = v14))) & ! [v9] : ! [v10] : ( ~ (vmul(v0, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (vplus(v12, v0) = v13 & vplus(v11, vd449) = v14 & vmul(vd449, v9) = v11 & vmul(vd448, v14) = v15 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v15 = v13))) & ! [v9] : ! [v10] : ( ~ (vmul(v0, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (vplus(v12, v0) = v14 & vplus(v10, v0) = v13 & vmul(vd449, v9) = v11 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v14 = v13))) & ! [v9] : ! [v10] : ( ~ (vmul(vd449, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (vsucc(v9) = v15 & vplus(v10, vd449) = v13 & vmul(v0, v9) = v11 & vmul(vd449, v15) = v16 & vmul(vd448, v16) = v17 & vmul(vd448, v13) = v14 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v17 = v14))) & ! [v9] : ! [v10] : ( ~ (vmul(vd449, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (vsucc(v9) = v13 & vplus(v11, v0) = v15 & vmul(v0, v13) = v14 & vmul(v0, v9) = v11 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v15 = v14))) & ! [v9] : ! [v10] : ( ~ (vmul(vd449, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (vplus(v12, v0) = v13 & vplus(v10, vd449) = v14 & vmul(v0, v9) = v11 & vmul(vd448, v14) = v15 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v15 = v13))) & ! [v9] : ! [v10] : ( ~ (vmul(vd449, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (vplus(v12, v0) = v14 & vplus(v11, v0) = v13 & vmul(v0, v9) = v11 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v14 = v13)))) % 5.82/2.02 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields: % 5.82/2.02 | (1) ~ (all_0_0_0 = all_0_2_2) & vsucc(all_0_6_6) = all_0_3_3 & vmul(all_0_8_8, all_0_3_3) = all_0_2_2 & vmul(all_0_8_8, all_0_6_6) = all_0_5_5 & vmul(vd449, all_0_3_3) = all_0_1_1 & vmul(vd449, all_0_6_6) = all_0_4_4 & vmul(vd449, v1) = all_0_7_7 & vmul(vd448, all_0_1_1) = all_0_0_0 & vmul(vd448, all_0_4_4) = all_0_5_5 & vmul(vd448, all_0_7_7) = all_0_8_8 & vmul(vd448, vd449) = all_0_8_8 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vplus(v3, v4) = v5) | ~ (vmul(v0, v2) = v4) | ~ (vmul(v0, v1) = v3) | ? [v6] : (vplus(v1, v2) = v6 & vmul(v0, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vplus(v1, v2) = v3) | ~ (vmul(v0, v3) = v4) | ? [v5] : ? [v6] : (vplus(v5, v6) = v4 & vmul(v0, v2) = v6 & vmul(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vplus(v0, v2) = v3) | ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vmul(v0, v2) = v3) | ? [v4] : (vplus(v4, v0) = v3 & vmul(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v0) = v2) | ~ (vmul(v2, v1) = v3) | ? [v4] : (vplus(v4, v1) = v3 & vmul(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vplus(v2, v1) = v3) | ~ (vmul(v0, v1) = v2) | ? [v4] : (vsucc(v0) = v4 & vmul(v4, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vplus(v2, v0) = v3) | ~ (vmul(v0, v1) = v2) | ? [v4] : (vsucc(v1) = v4 & vmul(v0, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = v0)) & ! [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] : ! [v2] : ( ~ (vmul(v1, v0) = v2) | vmul(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(v0, v1) = v2) | vmul(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (vmul(v0, v1) = v1)) & ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vplus(v3, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v1) = v7 & vmul(vd449, v0) = v3 & vmul(vd448, v7) = v8 & vmul(vd448, v5) = v6 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v8 = v6))) & ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v1) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v0) = v3 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v6 = v5))) & ! [v0] : ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v6 & vplus(v2, vd449) = v4 & vmul(vd449, v6) = v7 & vmul(vd449, v0) = v2 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v8 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vplus(v1, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v2, vd449) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v4))) & ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v1, all_0_8_8) = v4 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v5 = v4))) & ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v6 & vplus(v1, vd449) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v6) = v7 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v8 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v5))) & ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v1, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v4))) & ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v2, all_0_8_8) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v5 = v4))) % 5.82/2.03 | % 5.82/2.03 | Applying alpha-rule on (1) yields: % 5.82/2.03 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vplus(v0, v2) = v3) | ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4)) % 5.82/2.03 | (3) vmul(vd449, v1) = all_0_7_7 % 5.82/2.03 | (4) vmul(vd449, all_0_6_6) = all_0_4_4 % 5.82/2.03 | (5) ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v6 & vplus(v1, vd449) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v6) = v7 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v8 = v5))) % 5.82/2.03 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0)) % 5.82/2.03 | (7) ~ (all_0_0_0 = all_0_2_2) % 5.82/2.04 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(v0, v1) = v2) | vmul(v1, v0) = v2) % 5.82/2.04 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (vmul(v1, v0) = v2) | vmul(v0, v1) = v2) % 5.82/2.04 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v0) = v2) | ~ (vmul(v2, v1) = v3) | ? [v4] : (vplus(v4, v1) = v3 & vmul(v0, v1) = v4)) % 5.82/2.04 | (11) ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v5))) % 5.82/2.04 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (vplus(v3, v4) = v5) | ~ (vmul(v0, v2) = v4) | ~ (vmul(v0, v1) = v3) | ? [v6] : (vplus(v1, v2) = v6 & vmul(v0, v6) = v5)) % 5.82/2.04 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vsucc(v1) = v2) | ~ (vmul(v0, v2) = v3) | ? [v4] : (vplus(v4, v0) = v3 & vmul(v0, v1) = v4)) % 5.82/2.04 | (14) ! [v0] : ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1) % 5.82/2.04 | (15) ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v0, v1) = v1) % 5.82/2.04 | (16) ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v1, all_0_8_8) = v4 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v5 = v4))) % 5.82/2.04 | (17) vmul(all_0_8_8, all_0_3_3) = all_0_2_2 % 5.82/2.04 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ (vmul(v0, v1) = v1)) % 5.82/2.04 | (19) ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v2, all_0_8_8) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v5 = v4))) % 5.82/2.04 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v0, v1) = v2) | ? [v3] : ? [v4] : (vsucc(v2) = v4 & vsucc(v1) = v3 & vplus(v0, v3) = v4)) % 5.82/2.04 | (21) ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v2, vd449) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v4))) % 5.82/2.04 | (22) vmul(vd449, all_0_3_3) = all_0_1_1 % 5.82/2.04 | (23) vsucc(all_0_6_6) = all_0_3_3 % 5.82/2.04 | (24) ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(v0) = v4 & vplus(v1, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v5))) % 5.82/2.04 | (25) ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v1) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v0) = v3 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v6 = v5))) % 5.82/2.04 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = v0)) % 5.82/2.04 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vplus(v2, v0) = v3) | ~ (vmul(v0, v1) = v2) | ? [v4] : (vsucc(v1) = v4 & vmul(v0, v4) = v3)) % 5.82/2.04 | (28) ! [v0] : ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vsucc(v0) = v6 & vplus(v2, vd449) = v4 & vmul(vd449, v6) = v7 & vmul(vd449, v0) = v2 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v8 = v5))) % 5.82/2.04 | (29) ! [v0] : ! [v1] : ( ~ (vmul(vd449, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v1, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v4))) % 5.82/2.04 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (vplus(v1, v2) = v3) | ~ (vmul(v0, v3) = v4) | ? [v5] : ? [v6] : (vplus(v5, v6) = v4 & vmul(v0, v2) = v6 & vmul(v0, v1) = v5)) % 5.82/2.04 | (31) vmul(vd448, vd449) = all_0_8_8 % 5.82/2.04 | (32) vmul(vd448, all_0_7_7) = all_0_8_8 % 5.82/2.04 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (vplus(v2, v1) = v3) | ~ (vmul(v0, v1) = v2) | ? [v4] : (vsucc(v0) = v4 & vmul(v4, v1) = v3)) % 5.82/2.04 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, v2) = v0)) % 5.82/2.04 | (35) vmul(all_0_8_8, all_0_6_6) = all_0_5_5 % 5.82/2.04 | (36) vmul(vd448, all_0_4_4) = all_0_5_5 % 5.82/2.04 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2) % 5.82/2.05 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (vplus(v1, v0) = v2) | vplus(v0, v1) = v2) % 5.82/2.05 | (39) vmul(vd448, all_0_1_1) = all_0_0_0 % 5.82/2.05 | (40) ! [v0] : ! [v1] : ( ~ (vsucc(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (vplus(v3, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v1) = v7 & vmul(vd449, v0) = v3 & vmul(vd448, v7) = v8 & vmul(vd448, v5) = v6 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v8 = v6))) % 5.82/2.05 | % 6.14/2.05 | Instantiating formula (40) with all_0_3_3, all_0_6_6 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, yields: % 6.14/2.05 | (41) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vplus(v1, vd449) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd449, all_0_3_3) = v5 & vmul(vd449, all_0_6_6) = v1 & vmul(vd448, v5) = v6 & vmul(vd448, v3) = v4 & vmul(vd448, v1) = v2 & ( ~ (v2 = v0) | v6 = v4)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (25) with all_0_3_3, all_0_6_6 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, yields: % 6.14/2.05 | (42) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vplus(v0, all_0_8_8) = v4 & vmul(all_0_8_8, all_0_3_3) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd449, all_0_6_6) = v1 & vmul(vd448, v1) = v2 & ( ~ (v2 = v0) | v4 = v3)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (13) with all_0_2_2, all_0_3_3, all_0_6_6, all_0_8_8 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.14/2.05 | (43) ? [v0] : (vplus(v0, all_0_8_8) = all_0_2_2 & vmul(all_0_8_8, all_0_6_6) = v0) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (28) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.14/2.05 | (44) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_3_3) = v4 & vplus(v0, vd449) = v2 & vmul(vd449, v4) = v5 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v6 = v3)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (24) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.14/2.05 | (45) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vsucc(all_0_3_3) = v2 & vplus(all_0_2_2, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v4 = v3)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (21) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.14/2.05 | (46) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(v0, vd449) = v3 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v4 = v2)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (16) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.14/2.05 | (47) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(all_0_2_2, all_0_8_8) = v2 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v3 = v2)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (28) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields: % 6.14/2.05 | (48) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_6_6) = v4 & vplus(v0, vd449) = v2 & vmul(vd449, v4) = v5 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v6 = v3)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (24) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields: % 6.14/2.05 | (49) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vsucc(all_0_6_6) = v2 & vplus(all_0_5_5, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v4 = v3)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (21) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields: % 6.14/2.05 | (50) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(v0, vd449) = v3 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v4 = v2)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (16) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields: % 6.14/2.05 | (51) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(all_0_5_5, all_0_8_8) = v2 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v3 = v2)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (13) with all_0_1_1, all_0_3_3, all_0_6_6, vd449 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.14/2.05 | (52) ? [v0] : (vplus(v0, vd449) = all_0_1_1 & vmul(vd449, all_0_6_6) = v0) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (5) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.14/2.05 | (53) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_3_3) = v4 & vplus(all_0_1_1, vd449) = v2 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd449, v4) = v5 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v6 = v3)) % 6.14/2.05 | % 6.14/2.05 | Instantiating formula (11) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.14/2.06 | (54) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vsucc(all_0_3_3) = v2 & vplus(v0, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v4 = v3)) % 6.14/2.06 | % 6.14/2.06 | Instantiating formula (29) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.14/2.06 | (55) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(all_0_1_1, vd449) = v3 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v4 = v2)) % 6.14/2.06 | % 6.14/2.06 | Instantiating formula (19) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.14/2.06 | (56) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(v0, all_0_8_8) = v2 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v3 = v2)) % 6.14/2.06 | % 6.14/2.06 | Instantiating formula (5) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields: % 6.14/2.06 | (57) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (vsucc(all_0_6_6) = v4 & vplus(all_0_4_4, vd449) = v2 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd449, v4) = v5 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v6 = v3)) % 6.14/2.06 | % 6.14/2.06 | Instantiating formula (11) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields: % 6.14/2.06 | (58) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vsucc(all_0_6_6) = v2 & vplus(v0, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v4 = v3)) % 6.14/2.06 | % 6.14/2.06 | Instantiating formula (29) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields: % 6.14/2.06 | (59) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(all_0_4_4, vd449) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v4 = v2)) % 6.14/2.06 | % 6.14/2.06 | Instantiating formula (19) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields: % 6.14/2.06 | (60) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(v0, all_0_8_8) = v2 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v3 = v2)) % 6.14/2.06 | % 6.14/2.06 | Instantiating (60) with all_13_0_9, all_13_1_10, all_13_2_11, all_13_3_12 yields: % 6.14/2.06 | (61) vplus(all_13_2_11, all_0_8_8) = all_13_0_9 & vplus(all_13_3_12, all_0_8_8) = all_13_1_10 & vmul(all_0_8_8, all_0_6_6) = all_13_3_12 & vmul(vd448, all_0_4_4) = all_13_2_11 & ( ~ (all_13_2_11 = all_13_3_12) | all_13_0_9 = all_13_1_10) % 6.14/2.06 | % 6.14/2.06 | Applying alpha-rule on (61) yields: % 6.14/2.06 | (62) vmul(vd448, all_0_4_4) = all_13_2_11 % 6.14/2.06 | (63) vmul(all_0_8_8, all_0_6_6) = all_13_3_12 % 6.14/2.06 | (64) vplus(all_13_3_12, all_0_8_8) = all_13_1_10 % 6.14/2.06 | (65) ~ (all_13_2_11 = all_13_3_12) | all_13_0_9 = all_13_1_10 % 6.14/2.06 | (66) vplus(all_13_2_11, all_0_8_8) = all_13_0_9 % 6.14/2.06 | % 6.14/2.06 | Instantiating (58) with all_15_0_13, all_15_1_14, all_15_2_15, all_15_3_16, all_15_4_17 yields: % 6.14/2.06 | (67) vsucc(all_0_6_6) = all_15_2_15 & vplus(all_15_4_17, all_0_8_8) = all_15_0_13 & vmul(all_0_8_8, all_15_2_15) = all_15_1_14 & vmul(all_0_8_8, all_0_6_6) = all_15_4_17 & vmul(vd448, all_0_4_4) = all_15_3_16 & ( ~ (all_15_3_16 = all_15_4_17) | all_15_0_13 = all_15_1_14) % 6.14/2.06 | % 6.14/2.06 | Applying alpha-rule on (67) yields: % 6.14/2.06 | (68) vmul(vd448, all_0_4_4) = all_15_3_16 % 6.14/2.06 | (69) vmul(all_0_8_8, all_15_2_15) = all_15_1_14 % 6.14/2.06 | (70) vplus(all_15_4_17, all_0_8_8) = all_15_0_13 % 6.14/2.06 | (71) vsucc(all_0_6_6) = all_15_2_15 % 6.14/2.06 | (72) ~ (all_15_3_16 = all_15_4_17) | all_15_0_13 = all_15_1_14 % 6.14/2.06 | (73) vmul(all_0_8_8, all_0_6_6) = all_15_4_17 % 6.14/2.06 | % 6.14/2.06 | Instantiating (47) with all_17_0_18, all_17_1_19, all_17_2_20, all_17_3_21 yields: % 6.14/2.06 | (74) vplus(all_17_2_20, all_0_8_8) = all_17_0_18 & vplus(all_0_2_2, all_0_8_8) = all_17_1_19 & vmul(vd449, all_0_3_3) = all_17_3_21 & vmul(vd448, all_17_3_21) = all_17_2_20 & ( ~ (all_17_2_20 = all_0_2_2) | all_17_0_18 = all_17_1_19) % 6.22/2.06 | % 6.22/2.06 | Applying alpha-rule on (74) yields: % 6.22/2.06 | (75) vplus(all_0_2_2, all_0_8_8) = all_17_1_19 % 6.22/2.06 | (76) ~ (all_17_2_20 = all_0_2_2) | all_17_0_18 = all_17_1_19 % 6.22/2.06 | (77) vplus(all_17_2_20, all_0_8_8) = all_17_0_18 % 6.22/2.06 | (78) vmul(vd448, all_17_3_21) = all_17_2_20 % 6.22/2.06 | (79) vmul(vd449, all_0_3_3) = all_17_3_21 % 6.22/2.06 | % 6.22/2.06 | Instantiating (45) with all_19_0_22, all_19_1_23, all_19_2_24, all_19_3_25, all_19_4_26 yields: % 6.22/2.06 | (80) vsucc(all_0_3_3) = all_19_2_24 & vplus(all_0_2_2, all_0_8_8) = all_19_0_22 & vmul(all_0_8_8, all_19_2_24) = all_19_1_23 & vmul(vd449, all_0_3_3) = all_19_4_26 & vmul(vd448, all_19_4_26) = all_19_3_25 & ( ~ (all_19_3_25 = all_0_2_2) | all_19_0_22 = all_19_1_23) % 6.22/2.06 | % 6.22/2.06 | Applying alpha-rule on (80) yields: % 6.22/2.06 | (81) vmul(all_0_8_8, all_19_2_24) = all_19_1_23 % 6.22/2.06 | (82) ~ (all_19_3_25 = all_0_2_2) | all_19_0_22 = all_19_1_23 % 6.22/2.06 | (83) vplus(all_0_2_2, all_0_8_8) = all_19_0_22 % 6.22/2.06 | (84) vmul(vd448, all_19_4_26) = all_19_3_25 % 6.22/2.06 | (85) vsucc(all_0_3_3) = all_19_2_24 % 6.22/2.06 | (86) vmul(vd449, all_0_3_3) = all_19_4_26 % 6.22/2.06 | % 6.22/2.06 | Instantiating (51) with all_21_0_27, all_21_1_28, all_21_2_29, all_21_3_30 yields: % 6.22/2.06 | (87) vplus(all_21_2_29, all_0_8_8) = all_21_0_27 & vplus(all_0_5_5, all_0_8_8) = all_21_1_28 & vmul(vd449, all_0_6_6) = all_21_3_30 & vmul(vd448, all_21_3_30) = all_21_2_29 & ( ~ (all_21_2_29 = all_0_5_5) | all_21_0_27 = all_21_1_28) % 6.22/2.07 | % 6.22/2.07 | Applying alpha-rule on (87) yields: % 6.22/2.07 | (88) ~ (all_21_2_29 = all_0_5_5) | all_21_0_27 = all_21_1_28 % 6.22/2.07 | (89) vplus(all_21_2_29, all_0_8_8) = all_21_0_27 % 6.22/2.07 | (90) vmul(vd448, all_21_3_30) = all_21_2_29 % 6.22/2.07 | (91) vmul(vd449, all_0_6_6) = all_21_3_30 % 6.22/2.07 | (92) vplus(all_0_5_5, all_0_8_8) = all_21_1_28 % 6.22/2.07 | % 6.22/2.07 | Instantiating (44) with all_23_0_31, all_23_1_32, all_23_2_33, all_23_3_34, all_23_4_35, all_23_5_36, all_23_6_37 yields: % 6.22/2.07 | (93) vsucc(all_0_3_3) = all_23_2_33 & vplus(all_23_6_37, vd449) = all_23_4_35 & vmul(vd449, all_23_2_33) = all_23_1_32 & vmul(vd449, all_0_3_3) = all_23_6_37 & vmul(vd448, all_23_1_32) = all_23_0_31 & vmul(vd448, all_23_4_35) = all_23_3_34 & vmul(vd448, all_23_6_37) = all_23_5_36 & ( ~ (all_23_5_36 = all_0_2_2) | all_23_0_31 = all_23_3_34) % 6.22/2.07 | % 6.22/2.07 | Applying alpha-rule on (93) yields: % 6.22/2.07 | (94) vmul(vd449, all_0_3_3) = all_23_6_37 % 6.22/2.07 | (95) vplus(all_23_6_37, vd449) = all_23_4_35 % 6.22/2.07 | (96) vsucc(all_0_3_3) = all_23_2_33 % 6.22/2.07 | (97) vmul(vd448, all_23_4_35) = all_23_3_34 % 6.22/2.07 | (98) ~ (all_23_5_36 = all_0_2_2) | all_23_0_31 = all_23_3_34 % 6.22/2.07 | (99) vmul(vd448, all_23_1_32) = all_23_0_31 % 6.22/2.07 | (100) vmul(vd449, all_23_2_33) = all_23_1_32 % 6.22/2.07 | (101) vmul(vd448, all_23_6_37) = all_23_5_36 % 6.22/2.07 | % 6.22/2.07 | Instantiating (46) with all_25_0_38, all_25_1_39, all_25_2_40, all_25_3_41, all_25_4_42 yields: % 6.22/2.07 | (102) vplus(all_25_3_41, all_0_8_8) = all_25_2_40 & vplus(all_25_4_42, vd449) = all_25_1_39 & vmul(vd449, all_0_3_3) = all_25_4_42 & vmul(vd448, all_25_1_39) = all_25_0_38 & vmul(vd448, all_25_4_42) = all_25_3_41 & ( ~ (all_25_3_41 = all_0_2_2) | all_25_0_38 = all_25_2_40) % 6.22/2.07 | % 6.22/2.07 | Applying alpha-rule on (102) yields: % 6.22/2.07 | (103) vmul(vd448, all_25_1_39) = all_25_0_38 % 6.22/2.07 | (104) vmul(vd448, all_25_4_42) = all_25_3_41 % 6.22/2.07 | (105) vmul(vd449, all_0_3_3) = all_25_4_42 % 6.22/2.07 | (106) vplus(all_25_4_42, vd449) = all_25_1_39 % 6.22/2.07 | (107) ~ (all_25_3_41 = all_0_2_2) | all_25_0_38 = all_25_2_40 % 6.22/2.07 | (108) vplus(all_25_3_41, all_0_8_8) = all_25_2_40 % 6.22/2.07 | % 6.22/2.07 | Instantiating (41) with all_27_0_43, all_27_1_44, all_27_2_45, all_27_3_46, all_27_4_47, all_27_5_48, all_27_6_49 yields: % 6.22/2.07 | (109) vplus(all_27_5_48, vd449) = all_27_3_46 & vmul(all_0_8_8, all_0_6_6) = all_27_6_49 & vmul(vd449, all_0_3_3) = all_27_1_44 & vmul(vd449, all_0_6_6) = all_27_5_48 & vmul(vd448, all_27_1_44) = all_27_0_43 & vmul(vd448, all_27_3_46) = all_27_2_45 & vmul(vd448, all_27_5_48) = all_27_4_47 & ( ~ (all_27_4_47 = all_27_6_49) | all_27_0_43 = all_27_2_45) % 6.22/2.07 | % 6.22/2.07 | Applying alpha-rule on (109) yields: % 6.22/2.07 | (110) vmul(vd448, all_27_5_48) = all_27_4_47 % 6.22/2.07 | (111) vplus(all_27_5_48, vd449) = all_27_3_46 % 6.22/2.07 | (112) vmul(all_0_8_8, all_0_6_6) = all_27_6_49 % 6.22/2.07 | (113) vmul(vd448, all_27_1_44) = all_27_0_43 % 6.22/2.07 | (114) vmul(vd448, all_27_3_46) = all_27_2_45 % 6.22/2.07 | (115) vmul(vd449, all_0_6_6) = all_27_5_48 % 6.22/2.07 | (116) vmul(vd449, all_0_3_3) = all_27_1_44 % 6.22/2.07 | (117) ~ (all_27_4_47 = all_27_6_49) | all_27_0_43 = all_27_2_45 % 6.22/2.07 | % 6.22/2.07 | Instantiating (57) with all_29_0_50, all_29_1_51, all_29_2_52, all_29_3_53, all_29_4_54, all_29_5_55, all_29_6_56 yields: % 6.22/2.07 | (118) vsucc(all_0_6_6) = all_29_2_52 & vplus(all_0_4_4, vd449) = all_29_4_54 & vmul(all_0_8_8, all_0_6_6) = all_29_6_56 & vmul(vd449, all_29_2_52) = all_29_1_51 & vmul(vd448, all_29_1_51) = all_29_0_50 & vmul(vd448, all_29_4_54) = all_29_3_53 & vmul(vd448, all_0_4_4) = all_29_5_55 & ( ~ (all_29_5_55 = all_29_6_56) | all_29_0_50 = all_29_3_53) % 6.22/2.07 | % 6.22/2.07 | Applying alpha-rule on (118) yields: % 6.22/2.07 | (119) vmul(vd448, all_29_1_51) = all_29_0_50 % 6.22/2.07 | (120) ~ (all_29_5_55 = all_29_6_56) | all_29_0_50 = all_29_3_53 % 6.22/2.07 | (121) vmul(vd449, all_29_2_52) = all_29_1_51 % 6.22/2.07 | (122) vmul(all_0_8_8, all_0_6_6) = all_29_6_56 % 6.22/2.07 | (123) vmul(vd448, all_29_4_54) = all_29_3_53 % 6.22/2.07 | (124) vmul(vd448, all_0_4_4) = all_29_5_55 % 6.22/2.07 | (125) vplus(all_0_4_4, vd449) = all_29_4_54 % 6.22/2.07 | (126) vsucc(all_0_6_6) = all_29_2_52 % 6.22/2.07 | % 6.22/2.07 | Instantiating (59) with all_31_0_57, all_31_1_58, all_31_2_59, all_31_3_60, all_31_4_61 yields: % 6.22/2.07 | (127) vplus(all_31_3_60, all_0_8_8) = all_31_2_59 & vplus(all_0_4_4, vd449) = all_31_1_58 & vmul(all_0_8_8, all_0_6_6) = all_31_4_61 & vmul(vd448, all_31_1_58) = all_31_0_57 & vmul(vd448, all_0_4_4) = all_31_3_60 & ( ~ (all_31_3_60 = all_31_4_61) | all_31_0_57 = all_31_2_59) % 6.22/2.07 | % 6.22/2.07 | Applying alpha-rule on (127) yields: % 6.22/2.07 | (128) vmul(vd448, all_31_1_58) = all_31_0_57 % 6.22/2.07 | (129) vmul(vd448, all_0_4_4) = all_31_3_60 % 6.22/2.08 | (130) vplus(all_0_4_4, vd449) = all_31_1_58 % 6.22/2.08 | (131) ~ (all_31_3_60 = all_31_4_61) | all_31_0_57 = all_31_2_59 % 6.22/2.08 | (132) vmul(all_0_8_8, all_0_6_6) = all_31_4_61 % 6.22/2.08 | (133) vplus(all_31_3_60, all_0_8_8) = all_31_2_59 % 6.22/2.08 | % 6.22/2.08 | Instantiating (56) with all_33_0_62, all_33_1_63, all_33_2_64, all_33_3_65 yields: % 6.22/2.08 | (134) vplus(all_33_2_64, all_0_8_8) = all_33_0_62 & vplus(all_33_3_65, all_0_8_8) = all_33_1_63 & vmul(all_0_8_8, all_0_3_3) = all_33_3_65 & vmul(vd448, all_0_1_1) = all_33_2_64 & ( ~ (all_33_2_64 = all_33_3_65) | all_33_0_62 = all_33_1_63) % 6.22/2.08 | % 6.22/2.08 | Applying alpha-rule on (134) yields: % 6.22/2.08 | (135) vplus(all_33_2_64, all_0_8_8) = all_33_0_62 % 6.22/2.08 | (136) vplus(all_33_3_65, all_0_8_8) = all_33_1_63 % 6.22/2.08 | (137) vmul(all_0_8_8, all_0_3_3) = all_33_3_65 % 6.22/2.08 | (138) vmul(vd448, all_0_1_1) = all_33_2_64 % 6.22/2.08 | (139) ~ (all_33_2_64 = all_33_3_65) | all_33_0_62 = all_33_1_63 % 6.22/2.08 | % 6.22/2.08 | Instantiating (55) with all_35_0_66, all_35_1_67, all_35_2_68, all_35_3_69, all_35_4_70 yields: % 6.22/2.08 | (140) vplus(all_35_3_69, all_0_8_8) = all_35_2_68 & vplus(all_0_1_1, vd449) = all_35_1_67 & vmul(all_0_8_8, all_0_3_3) = all_35_4_70 & vmul(vd448, all_35_1_67) = all_35_0_66 & vmul(vd448, all_0_1_1) = all_35_3_69 & ( ~ (all_35_3_69 = all_35_4_70) | all_35_0_66 = all_35_2_68) % 6.22/2.08 | % 6.22/2.08 | Applying alpha-rule on (140) yields: % 6.22/2.08 | (141) vmul(vd448, all_0_1_1) = all_35_3_69 % 6.22/2.08 | (142) vmul(all_0_8_8, all_0_3_3) = all_35_4_70 % 6.22/2.08 | (143) vplus(all_35_3_69, all_0_8_8) = all_35_2_68 % 6.22/2.08 | (144) vplus(all_0_1_1, vd449) = all_35_1_67 % 6.22/2.08 | (145) ~ (all_35_3_69 = all_35_4_70) | all_35_0_66 = all_35_2_68 % 6.22/2.08 | (146) vmul(vd448, all_35_1_67) = all_35_0_66 % 6.22/2.08 | % 6.22/2.08 | Instantiating (54) with all_37_0_71, all_37_1_72, all_37_2_73, all_37_3_74, all_37_4_75 yields: % 6.22/2.08 | (147) vsucc(all_0_3_3) = all_37_2_73 & vplus(all_37_4_75, all_0_8_8) = all_37_0_71 & vmul(all_0_8_8, all_37_2_73) = all_37_1_72 & vmul(all_0_8_8, all_0_3_3) = all_37_4_75 & vmul(vd448, all_0_1_1) = all_37_3_74 & ( ~ (all_37_3_74 = all_37_4_75) | all_37_0_71 = all_37_1_72) % 6.22/2.08 | % 6.22/2.08 | Applying alpha-rule on (147) yields: % 6.22/2.08 | (148) vmul(vd448, all_0_1_1) = all_37_3_74 % 6.22/2.08 | (149) vmul(all_0_8_8, all_0_3_3) = all_37_4_75 % 6.22/2.08 | (150) vplus(all_37_4_75, all_0_8_8) = all_37_0_71 % 6.22/2.08 | (151) ~ (all_37_3_74 = all_37_4_75) | all_37_0_71 = all_37_1_72 % 6.22/2.08 | (152) vmul(all_0_8_8, all_37_2_73) = all_37_1_72 % 6.22/2.08 | (153) vsucc(all_0_3_3) = all_37_2_73 % 6.22/2.08 | % 6.22/2.08 | Instantiating (50) with all_39_0_76, all_39_1_77, all_39_2_78, all_39_3_79, all_39_4_80 yields: % 6.22/2.08 | (154) vplus(all_39_3_79, all_0_8_8) = all_39_2_78 & vplus(all_39_4_80, vd449) = all_39_1_77 & vmul(vd449, all_0_6_6) = all_39_4_80 & vmul(vd448, all_39_1_77) = all_39_0_76 & vmul(vd448, all_39_4_80) = all_39_3_79 & ( ~ (all_39_3_79 = all_0_5_5) | all_39_0_76 = all_39_2_78) % 6.22/2.08 | % 6.22/2.08 | Applying alpha-rule on (154) yields: % 6.22/2.08 | (155) ~ (all_39_3_79 = all_0_5_5) | all_39_0_76 = all_39_2_78 % 6.22/2.08 | (156) vmul(vd448, all_39_1_77) = all_39_0_76 % 6.22/2.08 | (157) vplus(all_39_3_79, all_0_8_8) = all_39_2_78 % 6.22/2.08 | (158) vmul(vd448, all_39_4_80) = all_39_3_79 % 6.22/2.08 | (159) vplus(all_39_4_80, vd449) = all_39_1_77 % 6.22/2.08 | (160) vmul(vd449, all_0_6_6) = all_39_4_80 % 6.22/2.08 | % 6.22/2.08 | Instantiating (49) with all_41_0_81, all_41_1_82, all_41_2_83, all_41_3_84, all_41_4_85 yields: % 6.22/2.08 | (161) vsucc(all_0_6_6) = all_41_2_83 & vplus(all_0_5_5, all_0_8_8) = all_41_0_81 & vmul(all_0_8_8, all_41_2_83) = all_41_1_82 & vmul(vd449, all_0_6_6) = all_41_4_85 & vmul(vd448, all_41_4_85) = all_41_3_84 & ( ~ (all_41_3_84 = all_0_5_5) | all_41_0_81 = all_41_1_82) % 6.22/2.08 | % 6.22/2.08 | Applying alpha-rule on (161) yields: % 6.22/2.08 | (162) ~ (all_41_3_84 = all_0_5_5) | all_41_0_81 = all_41_1_82 % 6.22/2.08 | (163) vplus(all_0_5_5, all_0_8_8) = all_41_0_81 % 6.22/2.08 | (164) vmul(all_0_8_8, all_41_2_83) = all_41_1_82 % 6.22/2.08 | (165) vsucc(all_0_6_6) = all_41_2_83 % 6.22/2.08 | (166) vmul(vd449, all_0_6_6) = all_41_4_85 % 6.22/2.08 | (167) vmul(vd448, all_41_4_85) = all_41_3_84 % 6.22/2.08 | % 6.22/2.08 | Instantiating (53) with all_47_0_96, all_47_1_97, all_47_2_98, all_47_3_99, all_47_4_100, all_47_5_101, all_47_6_102 yields: % 6.22/2.08 | (168) vsucc(all_0_3_3) = all_47_2_98 & vplus(all_0_1_1, vd449) = all_47_4_100 & vmul(all_0_8_8, all_0_3_3) = all_47_6_102 & vmul(vd449, all_47_2_98) = all_47_1_97 & vmul(vd448, all_47_1_97) = all_47_0_96 & vmul(vd448, all_47_4_100) = all_47_3_99 & vmul(vd448, all_0_1_1) = all_47_5_101 & ( ~ (all_47_5_101 = all_47_6_102) | all_47_0_96 = all_47_3_99) % 6.22/2.09 | % 6.22/2.09 | Applying alpha-rule on (168) yields: % 6.22/2.09 | (169) vmul(vd449, all_47_2_98) = all_47_1_97 % 6.22/2.09 | (170) vmul(vd448, all_47_1_97) = all_47_0_96 % 6.22/2.09 | (171) vsucc(all_0_3_3) = all_47_2_98 % 6.22/2.09 | (172) vmul(all_0_8_8, all_0_3_3) = all_47_6_102 % 6.22/2.09 | (173) vmul(vd448, all_0_1_1) = all_47_5_101 % 6.22/2.09 | (174) ~ (all_47_5_101 = all_47_6_102) | all_47_0_96 = all_47_3_99 % 6.22/2.09 | (175) vplus(all_0_1_1, vd449) = all_47_4_100 % 6.22/2.09 | (176) vmul(vd448, all_47_4_100) = all_47_3_99 % 6.22/2.09 | % 6.22/2.09 | Instantiating (52) with all_49_0_103 yields: % 6.22/2.09 | (177) vplus(all_49_0_103, vd449) = all_0_1_1 & vmul(vd449, all_0_6_6) = all_49_0_103 % 6.22/2.09 | % 6.22/2.09 | Applying alpha-rule on (177) yields: % 6.22/2.09 | (178) vplus(all_49_0_103, vd449) = all_0_1_1 % 6.22/2.09 | (179) vmul(vd449, all_0_6_6) = all_49_0_103 % 6.22/2.09 | % 6.22/2.09 | Instantiating (43) with all_53_0_111 yields: % 6.22/2.09 | (180) vplus(all_53_0_111, all_0_8_8) = all_0_2_2 & vmul(all_0_8_8, all_0_6_6) = all_53_0_111 % 6.22/2.09 | % 6.22/2.09 | Applying alpha-rule on (180) yields: % 6.22/2.09 | (181) vplus(all_53_0_111, all_0_8_8) = all_0_2_2 % 6.22/2.09 | (182) vmul(all_0_8_8, all_0_6_6) = all_53_0_111 % 6.22/2.09 | % 6.22/2.09 | Instantiating (48) with all_55_0_112, all_55_1_113, all_55_2_114, all_55_3_115, all_55_4_116, all_55_5_117, all_55_6_118 yields: % 6.22/2.09 | (183) vsucc(all_0_6_6) = all_55_2_114 & vplus(all_55_6_118, vd449) = all_55_4_116 & vmul(vd449, all_55_2_114) = all_55_1_113 & vmul(vd449, all_0_6_6) = all_55_6_118 & vmul(vd448, all_55_1_113) = all_55_0_112 & vmul(vd448, all_55_4_116) = all_55_3_115 & vmul(vd448, all_55_6_118) = all_55_5_117 & ( ~ (all_55_5_117 = all_0_5_5) | all_55_0_112 = all_55_3_115) % 6.22/2.09 | % 6.22/2.09 | Applying alpha-rule on (183) yields: % 6.22/2.09 | (184) vmul(vd448, all_55_6_118) = all_55_5_117 % 6.22/2.09 | (185) vmul(vd448, all_55_1_113) = all_55_0_112 % 6.22/2.09 | (186) vplus(all_55_6_118, vd449) = all_55_4_116 % 6.22/2.09 | (187) vsucc(all_0_6_6) = all_55_2_114 % 6.22/2.09 | (188) vmul(vd449, all_0_6_6) = all_55_6_118 % 6.22/2.09 | (189) vmul(vd449, all_55_2_114) = all_55_1_113 % 6.22/2.09 | (190) vmul(vd448, all_55_4_116) = all_55_3_115 % 6.22/2.09 | (191) ~ (all_55_5_117 = all_0_5_5) | all_55_0_112 = all_55_3_115 % 6.22/2.09 | % 6.22/2.09 | Instantiating (42) with all_57_0_119, all_57_1_120, all_57_2_121, all_57_3_122, all_57_4_123 yields: % 6.22/2.09 | (192) vplus(all_57_4_123, all_0_8_8) = all_57_0_119 & vmul(all_0_8_8, all_0_3_3) = all_57_1_120 & vmul(all_0_8_8, all_0_6_6) = all_57_4_123 & vmul(vd449, all_0_6_6) = all_57_3_122 & vmul(vd448, all_57_3_122) = all_57_2_121 & ( ~ (all_57_2_121 = all_57_4_123) | all_57_0_119 = all_57_1_120) % 6.22/2.09 | % 6.22/2.09 | Applying alpha-rule on (192) yields: % 6.22/2.09 | (193) vmul(all_0_8_8, all_0_6_6) = all_57_4_123 % 6.22/2.09 | (194) vmul(vd449, all_0_6_6) = all_57_3_122 % 6.22/2.09 | (195) vmul(vd448, all_57_3_122) = all_57_2_121 % 6.22/2.09 | (196) ~ (all_57_2_121 = all_57_4_123) | all_57_0_119 = all_57_1_120 % 6.22/2.09 | (197) vmul(all_0_8_8, all_0_3_3) = all_57_1_120 % 6.22/2.09 | (198) vplus(all_57_4_123, all_0_8_8) = all_57_0_119 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (26) with all_0_6_6, all_55_2_114, all_0_3_3 and discharging atoms vsucc(all_0_6_6) = all_55_2_114, vsucc(all_0_6_6) = all_0_3_3, yields: % 6.22/2.09 | (199) all_55_2_114 = all_0_3_3 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (26) with all_0_6_6, all_41_2_83, all_55_2_114 and discharging atoms vsucc(all_0_6_6) = all_55_2_114, vsucc(all_0_6_6) = all_41_2_83, yields: % 6.22/2.09 | (200) all_55_2_114 = all_41_2_83 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (26) with all_0_6_6, all_29_2_52, all_41_2_83 and discharging atoms vsucc(all_0_6_6) = all_41_2_83, vsucc(all_0_6_6) = all_29_2_52, yields: % 6.22/2.09 | (201) all_41_2_83 = all_29_2_52 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (26) with all_0_6_6, all_15_2_15, all_29_2_52 and discharging atoms vsucc(all_0_6_6) = all_29_2_52, vsucc(all_0_6_6) = all_15_2_15, yields: % 6.22/2.09 | (202) all_29_2_52 = all_15_2_15 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (34) with all_0_4_4, vd449, all_29_4_54, all_31_1_58 and discharging atoms vplus(all_0_4_4, vd449) = all_31_1_58, vplus(all_0_4_4, vd449) = all_29_4_54, yields: % 6.22/2.09 | (203) all_31_1_58 = all_29_4_54 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (34) with all_0_5_5, all_0_8_8, all_21_1_28, all_41_0_81 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_41_0_81, vplus(all_0_5_5, all_0_8_8) = all_21_1_28, yields: % 6.22/2.09 | (204) all_41_0_81 = all_21_1_28 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_47_6_102, all_0_2_2 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_47_6_102, vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.22/2.09 | (205) all_47_6_102 = all_0_2_2 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_47_6_102, all_57_1_120 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_57_1_120, vmul(all_0_8_8, all_0_3_3) = all_47_6_102, yields: % 6.22/2.09 | (206) all_57_1_120 = all_47_6_102 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_37_4_75, all_57_1_120 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_57_1_120, vmul(all_0_8_8, all_0_3_3) = all_37_4_75, yields: % 6.22/2.09 | (207) all_57_1_120 = all_37_4_75 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_35_4_70, all_47_6_102 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_47_6_102, vmul(all_0_8_8, all_0_3_3) = all_35_4_70, yields: % 6.22/2.09 | (208) all_47_6_102 = all_35_4_70 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_33_3_65, all_35_4_70 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_35_4_70, vmul(all_0_8_8, all_0_3_3) = all_33_3_65, yields: % 6.22/2.09 | (209) all_35_4_70 = all_33_3_65 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_57_4_123, all_0_5_5 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_57_4_123, vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields: % 6.22/2.09 | (210) all_57_4_123 = all_0_5_5 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_53_0_111, all_57_4_123 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_57_4_123, vmul(all_0_8_8, all_0_6_6) = all_53_0_111, yields: % 6.22/2.09 | (211) all_57_4_123 = all_53_0_111 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_31_4_61, all_57_4_123 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_57_4_123, vmul(all_0_8_8, all_0_6_6) = all_31_4_61, yields: % 6.22/2.09 | (212) all_57_4_123 = all_31_4_61 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_27_6_49, all_31_4_61 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_31_4_61, vmul(all_0_8_8, all_0_6_6) = all_27_6_49, yields: % 6.22/2.09 | (213) all_31_4_61 = all_27_6_49 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_27_6_49, all_29_6_56 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_29_6_56, vmul(all_0_8_8, all_0_6_6) = all_27_6_49, yields: % 6.22/2.09 | (214) all_29_6_56 = all_27_6_49 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_15_4_17, all_31_4_61 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_31_4_61, vmul(all_0_8_8, all_0_6_6) = all_15_4_17, yields: % 6.22/2.09 | (215) all_31_4_61 = all_15_4_17 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with all_0_8_8, all_0_6_6, all_13_3_12, all_29_6_56 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_29_6_56, vmul(all_0_8_8, all_0_6_6) = all_13_3_12, yields: % 6.22/2.09 | (216) all_29_6_56 = all_13_3_12 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with vd449, all_0_3_3, all_25_4_42, all_0_1_1 and discharging atoms vmul(vd449, all_0_3_3) = all_25_4_42, vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.22/2.09 | (217) all_25_4_42 = all_0_1_1 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with vd449, all_0_3_3, all_25_4_42, all_27_1_44 and discharging atoms vmul(vd449, all_0_3_3) = all_27_1_44, vmul(vd449, all_0_3_3) = all_25_4_42, yields: % 6.22/2.09 | (218) all_27_1_44 = all_25_4_42 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with vd449, all_0_3_3, all_23_6_37, all_27_1_44 and discharging atoms vmul(vd449, all_0_3_3) = all_27_1_44, vmul(vd449, all_0_3_3) = all_23_6_37, yields: % 6.22/2.09 | (219) all_27_1_44 = all_23_6_37 % 6.22/2.09 | % 6.22/2.09 | Instantiating formula (6) with vd449, all_0_3_3, all_19_4_26, all_25_4_42 and discharging atoms vmul(vd449, all_0_3_3) = all_25_4_42, vmul(vd449, all_0_3_3) = all_19_4_26, yields: % 6.22/2.10 | (220) all_25_4_42 = all_19_4_26 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_3_3, all_17_3_21, all_19_4_26 and discharging atoms vmul(vd449, all_0_3_3) = all_19_4_26, vmul(vd449, all_0_3_3) = all_17_3_21, yields: % 6.22/2.10 | (221) all_19_4_26 = all_17_3_21 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_55_6_118, all_57_3_122 and discharging atoms vmul(vd449, all_0_6_6) = all_57_3_122, vmul(vd449, all_0_6_6) = all_55_6_118, yields: % 6.22/2.10 | (222) all_57_3_122 = all_55_6_118 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_49_0_103, all_57_3_122 and discharging atoms vmul(vd449, all_0_6_6) = all_57_3_122, vmul(vd449, all_0_6_6) = all_49_0_103, yields: % 6.22/2.10 | (223) all_57_3_122 = all_49_0_103 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_41_4_85, all_57_3_122 and discharging atoms vmul(vd449, all_0_6_6) = all_57_3_122, vmul(vd449, all_0_6_6) = all_41_4_85, yields: % 6.22/2.10 | (224) all_57_3_122 = all_41_4_85 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_39_4_80, all_41_4_85 and discharging atoms vmul(vd449, all_0_6_6) = all_41_4_85, vmul(vd449, all_0_6_6) = all_39_4_80, yields: % 6.22/2.10 | (225) all_41_4_85 = all_39_4_80 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_27_5_48, all_0_4_4 and discharging atoms vmul(vd449, all_0_6_6) = all_27_5_48, vmul(vd449, all_0_6_6) = all_0_4_4, yields: % 6.22/2.10 | (226) all_27_5_48 = all_0_4_4 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_27_5_48, all_39_4_80 and discharging atoms vmul(vd449, all_0_6_6) = all_39_4_80, vmul(vd449, all_0_6_6) = all_27_5_48, yields: % 6.22/2.10 | (227) all_39_4_80 = all_27_5_48 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd449, all_0_6_6, all_21_3_30, all_55_6_118 and discharging atoms vmul(vd449, all_0_6_6) = all_55_6_118, vmul(vd449, all_0_6_6) = all_21_3_30, yields: % 6.22/2.10 | (228) all_55_6_118 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_1_1, all_47_5_101, all_0_0_0 and discharging atoms vmul(vd448, all_0_1_1) = all_47_5_101, vmul(vd448, all_0_1_1) = all_0_0_0, yields: % 6.22/2.10 | (229) all_47_5_101 = all_0_0_0 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_1_1, all_37_3_74, all_47_5_101 and discharging atoms vmul(vd448, all_0_1_1) = all_47_5_101, vmul(vd448, all_0_1_1) = all_37_3_74, yields: % 6.22/2.10 | (230) all_47_5_101 = all_37_3_74 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_1_1, all_35_3_69, all_47_5_101 and discharging atoms vmul(vd448, all_0_1_1) = all_47_5_101, vmul(vd448, all_0_1_1) = all_35_3_69, yields: % 6.22/2.10 | (231) all_47_5_101 = all_35_3_69 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_1_1, all_33_2_64, all_35_3_69 and discharging atoms vmul(vd448, all_0_1_1) = all_35_3_69, vmul(vd448, all_0_1_1) = all_33_2_64, yields: % 6.22/2.10 | (232) all_35_3_69 = all_33_2_64 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_4_4, all_29_5_55, all_0_5_5 and discharging atoms vmul(vd448, all_0_4_4) = all_29_5_55, vmul(vd448, all_0_4_4) = all_0_5_5, yields: % 6.22/2.10 | (233) all_29_5_55 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_4_4, all_29_5_55, all_31_3_60 and discharging atoms vmul(vd448, all_0_4_4) = all_31_3_60, vmul(vd448, all_0_4_4) = all_29_5_55, yields: % 6.22/2.10 | (234) all_31_3_60 = all_29_5_55 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_4_4, all_15_3_16, all_29_5_55 and discharging atoms vmul(vd448, all_0_4_4) = all_29_5_55, vmul(vd448, all_0_4_4) = all_15_3_16, yields: % 6.22/2.10 | (235) all_29_5_55 = all_15_3_16 % 6.22/2.10 | % 6.22/2.10 | Instantiating formula (6) with vd448, all_0_4_4, all_13_2_11, all_31_3_60 and discharging atoms vmul(vd448, all_0_4_4) = all_31_3_60, vmul(vd448, all_0_4_4) = all_13_2_11, yields: % 6.22/2.10 | (236) all_31_3_60 = all_13_2_11 % 6.22/2.10 | % 6.22/2.10 | Combining equations (206,207) yields a new equation: % 6.22/2.10 | (237) all_47_6_102 = all_37_4_75 % 6.22/2.10 | % 6.22/2.10 | Simplifying 237 yields: % 6.22/2.10 | (238) all_47_6_102 = all_37_4_75 % 6.22/2.10 | % 6.22/2.10 | Combining equations (222,223) yields a new equation: % 6.22/2.10 | (239) all_55_6_118 = all_49_0_103 % 6.22/2.10 | % 6.22/2.10 | Simplifying 239 yields: % 6.22/2.10 | (240) all_55_6_118 = all_49_0_103 % 6.22/2.10 | % 6.22/2.10 | Combining equations (224,223) yields a new equation: % 6.22/2.10 | (241) all_49_0_103 = all_41_4_85 % 6.22/2.10 | % 6.22/2.10 | Combining equations (210,211) yields a new equation: % 6.22/2.10 | (242) all_53_0_111 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Combining equations (212,211) yields a new equation: % 6.22/2.10 | (243) all_53_0_111 = all_31_4_61 % 6.22/2.10 | % 6.22/2.10 | Combining equations (200,199) yields a new equation: % 6.22/2.10 | (244) all_41_2_83 = all_0_3_3 % 6.22/2.10 | % 6.22/2.10 | Simplifying 244 yields: % 6.22/2.10 | (245) all_41_2_83 = all_0_3_3 % 6.22/2.10 | % 6.22/2.10 | Combining equations (240,228) yields a new equation: % 6.22/2.10 | (246) all_49_0_103 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Simplifying 246 yields: % 6.22/2.10 | (247) all_49_0_103 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Combining equations (243,242) yields a new equation: % 6.22/2.10 | (248) all_31_4_61 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Simplifying 248 yields: % 6.22/2.10 | (249) all_31_4_61 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Combining equations (241,247) yields a new equation: % 6.22/2.10 | (250) all_41_4_85 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Simplifying 250 yields: % 6.22/2.10 | (251) all_41_4_85 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Combining equations (231,230) yields a new equation: % 6.22/2.10 | (252) all_37_3_74 = all_35_3_69 % 6.22/2.10 | % 6.22/2.10 | Combining equations (229,230) yields a new equation: % 6.22/2.10 | (253) all_37_3_74 = all_0_0_0 % 6.22/2.10 | % 6.22/2.10 | Combining equations (205,238) yields a new equation: % 6.22/2.10 | (254) all_37_4_75 = all_0_2_2 % 6.22/2.10 | % 6.22/2.10 | Combining equations (208,238) yields a new equation: % 6.22/2.10 | (255) all_37_4_75 = all_35_4_70 % 6.22/2.10 | % 6.22/2.10 | Combining equations (201,245) yields a new equation: % 6.22/2.10 | (256) all_29_2_52 = all_0_3_3 % 6.22/2.10 | % 6.22/2.10 | Simplifying 256 yields: % 6.22/2.10 | (257) all_29_2_52 = all_0_3_3 % 6.22/2.10 | % 6.22/2.10 | Combining equations (225,251) yields a new equation: % 6.22/2.10 | (258) all_39_4_80 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Simplifying 258 yields: % 6.22/2.10 | (259) all_39_4_80 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Combining equations (227,259) yields a new equation: % 6.22/2.10 | (260) all_27_5_48 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Simplifying 260 yields: % 6.22/2.10 | (261) all_27_5_48 = all_21_3_30 % 6.22/2.10 | % 6.22/2.10 | Combining equations (252,253) yields a new equation: % 6.22/2.10 | (262) all_35_3_69 = all_0_0_0 % 6.22/2.10 | % 6.22/2.10 | Simplifying 262 yields: % 6.22/2.10 | (263) all_35_3_69 = all_0_0_0 % 6.22/2.10 | % 6.22/2.10 | Combining equations (255,254) yields a new equation: % 6.22/2.10 | (264) all_35_4_70 = all_0_2_2 % 6.22/2.10 | % 6.22/2.10 | Simplifying 264 yields: % 6.22/2.10 | (265) all_35_4_70 = all_0_2_2 % 6.22/2.10 | % 6.22/2.10 | Combining equations (232,263) yields a new equation: % 6.22/2.10 | (266) all_33_2_64 = all_0_0_0 % 6.22/2.10 | % 6.22/2.10 | Simplifying 266 yields: % 6.22/2.10 | (267) all_33_2_64 = all_0_0_0 % 6.22/2.10 | % 6.22/2.10 | Combining equations (265,209) yields a new equation: % 6.22/2.10 | (268) all_33_3_65 = all_0_2_2 % 6.22/2.10 | % 6.22/2.10 | Combining equations (234,236) yields a new equation: % 6.22/2.10 | (269) all_29_5_55 = all_13_2_11 % 6.22/2.10 | % 6.22/2.10 | Simplifying 269 yields: % 6.22/2.10 | (270) all_29_5_55 = all_13_2_11 % 6.22/2.10 | % 6.22/2.10 | Combining equations (249,215) yields a new equation: % 6.22/2.10 | (271) all_15_4_17 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Combining equations (213,215) yields a new equation: % 6.22/2.10 | (272) all_27_6_49 = all_15_4_17 % 6.22/2.10 | % 6.22/2.10 | Simplifying 272 yields: % 6.22/2.10 | (273) all_27_6_49 = all_15_4_17 % 6.22/2.10 | % 6.22/2.10 | Combining equations (202,257) yields a new equation: % 6.22/2.10 | (274) all_15_2_15 = all_0_3_3 % 6.22/2.10 | % 6.22/2.10 | Simplifying 274 yields: % 6.22/2.10 | (275) all_15_2_15 = all_0_3_3 % 6.22/2.10 | % 6.22/2.10 | Combining equations (233,235) yields a new equation: % 6.22/2.10 | (276) all_15_3_16 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Combining equations (270,235) yields a new equation: % 6.22/2.10 | (277) all_15_3_16 = all_13_2_11 % 6.22/2.10 | % 6.22/2.10 | Combining equations (214,216) yields a new equation: % 6.22/2.10 | (278) all_27_6_49 = all_13_3_12 % 6.22/2.10 | % 6.22/2.10 | Simplifying 278 yields: % 6.22/2.10 | (279) all_27_6_49 = all_13_3_12 % 6.22/2.10 | % 6.22/2.10 | Combining equations (218,219) yields a new equation: % 6.22/2.10 | (280) all_25_4_42 = all_23_6_37 % 6.22/2.10 | % 6.22/2.10 | Simplifying 280 yields: % 6.22/2.10 | (281) all_25_4_42 = all_23_6_37 % 6.22/2.10 | % 6.22/2.10 | Combining equations (226,261) yields a new equation: % 6.22/2.10 | (282) all_21_3_30 = all_0_4_4 % 6.22/2.10 | % 6.22/2.10 | Combining equations (273,279) yields a new equation: % 6.22/2.10 | (283) all_15_4_17 = all_13_3_12 % 6.22/2.10 | % 6.22/2.10 | Simplifying 283 yields: % 6.22/2.10 | (284) all_15_4_17 = all_13_3_12 % 6.22/2.10 | % 6.22/2.10 | Combining equations (220,281) yields a new equation: % 6.22/2.10 | (285) all_23_6_37 = all_19_4_26 % 6.22/2.10 | % 6.22/2.10 | Combining equations (217,281) yields a new equation: % 6.22/2.10 | (286) all_23_6_37 = all_0_1_1 % 6.22/2.10 | % 6.22/2.10 | Combining equations (285,286) yields a new equation: % 6.22/2.10 | (287) all_19_4_26 = all_0_1_1 % 6.22/2.10 | % 6.22/2.10 | Simplifying 287 yields: % 6.22/2.10 | (288) all_19_4_26 = all_0_1_1 % 6.22/2.10 | % 6.22/2.10 | Combining equations (288,221) yields a new equation: % 6.22/2.10 | (289) all_17_3_21 = all_0_1_1 % 6.22/2.10 | % 6.22/2.10 | Combining equations (276,277) yields a new equation: % 6.22/2.10 | (290) all_13_2_11 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Combining equations (284,271) yields a new equation: % 6.22/2.10 | (291) all_13_3_12 = all_0_5_5 % 6.22/2.10 | % 6.22/2.10 | Simplifying 291 yields: % 6.22/2.11 | (292) all_13_3_12 = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 | Combining equations (290,277) yields a new equation: % 6.22/2.11 | (276) all_15_3_16 = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 | Combining equations (289,221) yields a new equation: % 6.22/2.11 | (288) all_19_4_26 = all_0_1_1 % 6.22/2.11 | % 6.22/2.11 | Combining equations (286,281) yields a new equation: % 6.22/2.11 | (217) all_25_4_42 = all_0_1_1 % 6.22/2.11 | % 6.22/2.11 | Combining equations (292,279) yields a new equation: % 6.22/2.11 | (296) all_27_6_49 = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 | Combining equations (282,261) yields a new equation: % 6.22/2.11 | (226) all_27_5_48 = all_0_4_4 % 6.22/2.11 | % 6.22/2.11 | Combining equations (286,219) yields a new equation: % 6.22/2.11 | (298) all_27_1_44 = all_0_1_1 % 6.22/2.11 | % 6.22/2.11 | Combining equations (271,215) yields a new equation: % 6.22/2.11 | (249) all_31_4_61 = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 | Combining equations (290,236) yields a new equation: % 6.22/2.11 | (300) all_31_3_60 = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 | Combining equations (282,259) yields a new equation: % 6.22/2.11 | (301) all_39_4_80 = all_0_4_4 % 6.22/2.11 | % 6.22/2.11 | Combining equations (282,251) yields a new equation: % 6.22/2.11 | (302) all_41_4_85 = all_0_4_4 % 6.22/2.11 | % 6.22/2.11 | Combining equations (282,247) yields a new equation: % 6.22/2.11 | (303) all_49_0_103 = all_0_4_4 % 6.22/2.11 | % 6.22/2.11 | Combining equations (282,228) yields a new equation: % 6.22/2.11 | (304) all_55_6_118 = all_0_4_4 % 6.22/2.11 | % 6.22/2.11 | Combining equations (242,211) yields a new equation: % 6.22/2.11 | (210) all_57_4_123 = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 | Combining equations (303,223) yields a new equation: % 6.22/2.11 | (306) all_57_3_122 = all_0_4_4 % 6.22/2.11 | % 6.22/2.11 | From (210) and (198) follows: % 6.22/2.11 | (307) vplus(all_0_5_5, all_0_8_8) = all_57_0_119 % 6.22/2.11 | % 6.22/2.11 | From (304) and (186) follows: % 6.22/2.11 | (308) vplus(all_0_4_4, vd449) = all_55_4_116 % 6.22/2.11 | % 6.22/2.11 | From (303) and (178) follows: % 6.22/2.11 | (309) vplus(all_0_4_4, vd449) = all_0_1_1 % 6.22/2.11 | % 6.22/2.11 | From (301) and (159) follows: % 6.22/2.11 | (310) vplus(all_0_4_4, vd449) = all_39_1_77 % 6.22/2.11 | % 6.22/2.11 | From (300) and (133) follows: % 6.22/2.11 | (311) vplus(all_0_5_5, all_0_8_8) = all_31_2_59 % 6.22/2.11 | % 6.22/2.11 | From (226) and (111) follows: % 6.22/2.11 | (312) vplus(all_0_4_4, vd449) = all_27_3_46 % 6.22/2.11 | % 6.22/2.11 | From (271) and (70) follows: % 6.22/2.11 | (313) vplus(all_0_5_5, all_0_8_8) = all_15_0_13 % 6.22/2.11 | % 6.22/2.11 | From (290) and (66) follows: % 6.22/2.11 | (314) vplus(all_0_5_5, all_0_8_8) = all_13_0_9 % 6.22/2.11 | % 6.22/2.11 | From (203) and (130) follows: % 6.22/2.11 | (125) vplus(all_0_4_4, vd449) = all_29_4_54 % 6.22/2.11 | % 6.22/2.11 | From (204) and (163) follows: % 6.22/2.11 | (92) vplus(all_0_5_5, all_0_8_8) = all_21_1_28 % 6.22/2.11 | % 6.22/2.11 | From (245) and (164) follows: % 6.22/2.11 | (317) vmul(all_0_8_8, all_0_3_3) = all_41_1_82 % 6.22/2.11 | % 6.22/2.11 | From (275) and (69) follows: % 6.22/2.11 | (318) vmul(all_0_8_8, all_0_3_3) = all_15_1_14 % 6.22/2.11 | % 6.22/2.11 | From (268) and (137) follows: % 6.22/2.11 | (17) vmul(all_0_8_8, all_0_3_3) = all_0_2_2 % 6.22/2.11 | % 6.22/2.11 | From (199) and (189) follows: % 6.22/2.11 | (320) vmul(vd449, all_0_3_3) = all_55_1_113 % 6.22/2.11 | % 6.22/2.11 | From (289) and (79) follows: % 6.22/2.11 | (22) vmul(vd449, all_0_3_3) = all_0_1_1 % 6.22/2.11 | % 6.22/2.11 | From (306) and (195) follows: % 6.22/2.11 | (322) vmul(vd448, all_0_4_4) = all_57_2_121 % 6.22/2.11 | % 6.22/2.11 | From (304) and (184) follows: % 6.22/2.11 | (323) vmul(vd448, all_0_4_4) = all_55_5_117 % 6.22/2.11 | % 6.22/2.11 | From (302) and (167) follows: % 6.22/2.11 | (324) vmul(vd448, all_0_4_4) = all_41_3_84 % 6.22/2.11 | % 6.22/2.11 | From (301) and (158) follows: % 6.22/2.11 | (325) vmul(vd448, all_0_4_4) = all_39_3_79 % 6.22/2.11 | % 6.22/2.11 | From (203) and (128) follows: % 6.22/2.11 | (326) vmul(vd448, all_29_4_54) = all_31_0_57 % 6.22/2.11 | % 6.22/2.11 | From (298) and (113) follows: % 6.22/2.11 | (327) vmul(vd448, all_0_1_1) = all_27_0_43 % 6.22/2.11 | % 6.22/2.11 | From (226) and (110) follows: % 6.22/2.11 | (328) vmul(vd448, all_0_4_4) = all_27_4_47 % 6.22/2.11 | % 6.22/2.11 | From (217) and (104) follows: % 6.22/2.11 | (329) vmul(vd448, all_0_1_1) = all_25_3_41 % 6.22/2.11 | % 6.22/2.11 | From (286) and (101) follows: % 6.22/2.11 | (330) vmul(vd448, all_0_1_1) = all_23_5_36 % 6.22/2.11 | % 6.22/2.11 | From (288) and (84) follows: % 6.22/2.11 | (331) vmul(vd448, all_0_1_1) = all_19_3_25 % 6.22/2.11 | % 6.22/2.11 | From (289) and (78) follows: % 6.22/2.11 | (332) vmul(vd448, all_0_1_1) = all_17_2_20 % 6.22/2.11 | % 6.22/2.11 | From (267) and (138) follows: % 6.22/2.11 | (39) vmul(vd448, all_0_1_1) = all_0_0_0 % 6.22/2.11 | % 6.22/2.11 | From (290) and (62) follows: % 6.22/2.11 | (36) vmul(vd448, all_0_4_4) = all_0_5_5 % 6.22/2.11 | % 6.22/2.11 +-Applying beta-rule and splitting (65), into two cases. % 6.22/2.11 |-Branch one: % 6.22/2.11 | (335) ~ (all_13_2_11 = all_13_3_12) % 6.22/2.11 | % 6.22/2.11 | Equations (290,292) can reduce 335 to: % 6.22/2.11 | (336) $false % 6.22/2.11 | % 6.22/2.11 |-The branch is then unsatisfiable % 6.22/2.11 |-Branch two: % 6.22/2.11 | (337) all_13_2_11 = all_13_3_12 % 6.22/2.11 | (338) all_13_0_9 = all_13_1_10 % 6.22/2.11 | % 6.22/2.11 | From (338) and (314) follows: % 6.22/2.11 | (339) vplus(all_0_5_5, all_0_8_8) = all_13_1_10 % 6.22/2.11 | % 6.22/2.11 +-Applying beta-rule and splitting (72), into two cases. % 6.22/2.11 |-Branch one: % 6.22/2.11 | (340) ~ (all_15_3_16 = all_15_4_17) % 6.22/2.11 | % 6.22/2.11 | Equations (276,271) can reduce 340 to: % 6.22/2.11 | (336) $false % 6.22/2.11 | % 6.22/2.11 |-The branch is then unsatisfiable % 6.22/2.11 |-Branch two: % 6.22/2.11 | (342) all_15_3_16 = all_15_4_17 % 6.22/2.11 | (343) all_15_0_13 = all_15_1_14 % 6.22/2.11 | % 6.22/2.11 | From (343) and (313) follows: % 6.22/2.11 | (344) vplus(all_0_5_5, all_0_8_8) = all_15_1_14 % 6.22/2.11 | % 6.22/2.11 +-Applying beta-rule and splitting (131), into two cases. % 6.22/2.11 |-Branch one: % 6.22/2.11 | (345) ~ (all_31_3_60 = all_31_4_61) % 6.22/2.11 | % 6.22/2.11 | Equations (300,249) can reduce 345 to: % 6.22/2.11 | (336) $false % 6.22/2.11 | % 6.22/2.11 |-The branch is then unsatisfiable % 6.46/2.11 |-Branch two: % 6.46/2.11 | (347) all_31_3_60 = all_31_4_61 % 6.46/2.11 | (348) all_31_0_57 = all_31_2_59 % 6.46/2.11 | % 6.46/2.11 | From (348) and (326) follows: % 6.46/2.11 | (349) vmul(vd448, all_29_4_54) = all_31_2_59 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_4_4, vd449, all_55_4_116, all_29_4_54 and discharging atoms vplus(all_0_4_4, vd449) = all_55_4_116, vplus(all_0_4_4, vd449) = all_29_4_54, yields: % 6.46/2.11 | (350) all_55_4_116 = all_29_4_54 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_4_4, vd449, all_39_1_77, all_55_4_116 and discharging atoms vplus(all_0_4_4, vd449) = all_55_4_116, vplus(all_0_4_4, vd449) = all_39_1_77, yields: % 6.46/2.11 | (351) all_55_4_116 = all_39_1_77 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_4_4, vd449, all_27_3_46, all_55_4_116 and discharging atoms vplus(all_0_4_4, vd449) = all_55_4_116, vplus(all_0_4_4, vd449) = all_27_3_46, yields: % 6.46/2.11 | (352) all_55_4_116 = all_27_3_46 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_4_4, vd449, all_0_1_1, all_39_1_77 and discharging atoms vplus(all_0_4_4, vd449) = all_39_1_77, vplus(all_0_4_4, vd449) = all_0_1_1, yields: % 6.46/2.11 | (353) all_39_1_77 = all_0_1_1 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_5_5, all_0_8_8, all_57_0_119, all_21_1_28 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_57_0_119, vplus(all_0_5_5, all_0_8_8) = all_21_1_28, yields: % 6.46/2.11 | (354) all_57_0_119 = all_21_1_28 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_5_5, all_0_8_8, all_31_2_59, all_57_0_119 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_57_0_119, vplus(all_0_5_5, all_0_8_8) = all_31_2_59, yields: % 6.46/2.11 | (355) all_57_0_119 = all_31_2_59 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_5_5, all_0_8_8, all_15_1_14, all_57_0_119 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_57_0_119, vplus(all_0_5_5, all_0_8_8) = all_15_1_14, yields: % 6.46/2.11 | (356) all_57_0_119 = all_15_1_14 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (34) with all_0_5_5, all_0_8_8, all_13_1_10, all_31_2_59 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_31_2_59, vplus(all_0_5_5, all_0_8_8) = all_13_1_10, yields: % 6.46/2.11 | (357) all_31_2_59 = all_13_1_10 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_41_1_82, all_0_2_2 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_41_1_82, vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields: % 6.46/2.11 | (358) all_41_1_82 = all_0_2_2 % 6.46/2.11 | % 6.46/2.11 | Instantiating formula (6) with all_0_8_8, all_0_3_3, all_15_1_14, all_41_1_82 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_41_1_82, vmul(all_0_8_8, all_0_3_3) = all_15_1_14, yields: % 6.46/2.12 | (359) all_41_1_82 = all_15_1_14 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd449, all_0_3_3, all_55_1_113, all_0_1_1 and discharging atoms vmul(vd449, all_0_3_3) = all_55_1_113, vmul(vd449, all_0_3_3) = all_0_1_1, yields: % 6.46/2.12 | (360) all_55_1_113 = all_0_1_1 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_29_4_54, all_31_2_59, all_29_3_53 and discharging atoms vmul(vd448, all_29_4_54) = all_31_2_59, vmul(vd448, all_29_4_54) = all_29_3_53, yields: % 6.46/2.12 | (361) all_31_2_59 = all_29_3_53 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_1_1, all_25_3_41, all_27_0_43 and discharging atoms vmul(vd448, all_0_1_1) = all_27_0_43, vmul(vd448, all_0_1_1) = all_25_3_41, yields: % 6.46/2.12 | (362) all_27_0_43 = all_25_3_41 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_1_1, all_23_5_36, all_25_3_41 and discharging atoms vmul(vd448, all_0_1_1) = all_25_3_41, vmul(vd448, all_0_1_1) = all_23_5_36, yields: % 6.46/2.12 | (363) all_25_3_41 = all_23_5_36 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_1_1, all_19_3_25, all_0_0_0 and discharging atoms vmul(vd448, all_0_1_1) = all_19_3_25, vmul(vd448, all_0_1_1) = all_0_0_0, yields: % 6.46/2.12 | (364) all_19_3_25 = all_0_0_0 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_1_1, all_19_3_25, all_23_5_36 and discharging atoms vmul(vd448, all_0_1_1) = all_23_5_36, vmul(vd448, all_0_1_1) = all_19_3_25, yields: % 6.46/2.12 | (365) all_23_5_36 = all_19_3_25 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_1_1, all_17_2_20, all_27_0_43 and discharging atoms vmul(vd448, all_0_1_1) = all_27_0_43, vmul(vd448, all_0_1_1) = all_17_2_20, yields: % 6.46/2.12 | (366) all_27_0_43 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_4_4, all_55_5_117, all_57_2_121 and discharging atoms vmul(vd448, all_0_4_4) = all_57_2_121, vmul(vd448, all_0_4_4) = all_55_5_117, yields: % 6.46/2.12 | (367) all_57_2_121 = all_55_5_117 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_4_4, all_41_3_84, all_55_5_117 and discharging atoms vmul(vd448, all_0_4_4) = all_55_5_117, vmul(vd448, all_0_4_4) = all_41_3_84, yields: % 6.46/2.12 | (368) all_55_5_117 = all_41_3_84 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_4_4, all_39_3_79, all_0_5_5 and discharging atoms vmul(vd448, all_0_4_4) = all_39_3_79, vmul(vd448, all_0_4_4) = all_0_5_5, yields: % 6.46/2.12 | (369) all_39_3_79 = all_0_5_5 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_4_4, all_39_3_79, all_55_5_117 and discharging atoms vmul(vd448, all_0_4_4) = all_55_5_117, vmul(vd448, all_0_4_4) = all_39_3_79, yields: % 6.46/2.12 | (370) all_55_5_117 = all_39_3_79 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_4_4, all_27_4_47, all_57_2_121 and discharging atoms vmul(vd448, all_0_4_4) = all_57_2_121, vmul(vd448, all_0_4_4) = all_27_4_47, yields: % 6.46/2.12 | (371) all_57_2_121 = all_27_4_47 % 6.46/2.12 | % 6.46/2.12 | Combining equations (356,354) yields a new equation: % 6.46/2.12 | (372) all_21_1_28 = all_15_1_14 % 6.46/2.12 | % 6.46/2.12 | Combining equations (355,354) yields a new equation: % 6.46/2.12 | (373) all_31_2_59 = all_21_1_28 % 6.46/2.12 | % 6.46/2.12 | Simplifying 373 yields: % 6.46/2.12 | (374) all_31_2_59 = all_21_1_28 % 6.46/2.12 | % 6.46/2.12 | Combining equations (367,371) yields a new equation: % 6.46/2.12 | (375) all_55_5_117 = all_27_4_47 % 6.46/2.12 | % 6.46/2.12 | Simplifying 375 yields: % 6.46/2.12 | (376) all_55_5_117 = all_27_4_47 % 6.46/2.12 | % 6.46/2.12 | Combining equations (352,350) yields a new equation: % 6.46/2.12 | (377) all_29_4_54 = all_27_3_46 % 6.46/2.12 | % 6.46/2.12 | Combining equations (351,350) yields a new equation: % 6.46/2.12 | (378) all_39_1_77 = all_29_4_54 % 6.46/2.12 | % 6.46/2.12 | Simplifying 378 yields: % 6.46/2.12 | (379) all_39_1_77 = all_29_4_54 % 6.46/2.12 | % 6.46/2.12 | Combining equations (370,368) yields a new equation: % 6.46/2.12 | (380) all_41_3_84 = all_39_3_79 % 6.46/2.12 | % 6.46/2.12 | Combining equations (376,368) yields a new equation: % 6.46/2.12 | (381) all_41_3_84 = all_27_4_47 % 6.46/2.12 | % 6.46/2.12 | Combining equations (358,359) yields a new equation: % 6.46/2.12 | (382) all_15_1_14 = all_0_2_2 % 6.46/2.12 | % 6.46/2.12 | Combining equations (380,381) yields a new equation: % 6.46/2.12 | (383) all_39_3_79 = all_27_4_47 % 6.46/2.12 | % 6.46/2.12 | Simplifying 383 yields: % 6.46/2.12 | (384) all_39_3_79 = all_27_4_47 % 6.46/2.12 | % 6.46/2.12 | Combining equations (379,353) yields a new equation: % 6.46/2.12 | (385) all_29_4_54 = all_0_1_1 % 6.46/2.12 | % 6.46/2.12 | Simplifying 385 yields: % 6.46/2.12 | (386) all_29_4_54 = all_0_1_1 % 6.46/2.12 | % 6.46/2.12 | Combining equations (369,384) yields a new equation: % 6.46/2.12 | (387) all_27_4_47 = all_0_5_5 % 6.46/2.12 | % 6.46/2.12 | Combining equations (374,361) yields a new equation: % 6.46/2.12 | (388) all_29_3_53 = all_21_1_28 % 6.46/2.12 | % 6.46/2.12 | Combining equations (357,361) yields a new equation: % 6.46/2.12 | (389) all_29_3_53 = all_13_1_10 % 6.46/2.12 | % 6.46/2.12 | Combining equations (388,389) yields a new equation: % 6.46/2.12 | (390) all_21_1_28 = all_13_1_10 % 6.46/2.12 | % 6.46/2.12 | Simplifying 390 yields: % 6.46/2.12 | (391) all_21_1_28 = all_13_1_10 % 6.46/2.12 | % 6.46/2.12 | Combining equations (377,386) yields a new equation: % 6.46/2.12 | (392) all_27_3_46 = all_0_1_1 % 6.46/2.12 | % 6.46/2.12 | Simplifying 392 yields: % 6.46/2.12 | (393) all_27_3_46 = all_0_1_1 % 6.46/2.12 | % 6.46/2.12 | Combining equations (362,366) yields a new equation: % 6.46/2.12 | (394) all_25_3_41 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Simplifying 394 yields: % 6.46/2.12 | (395) all_25_3_41 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Combining equations (363,395) yields a new equation: % 6.46/2.12 | (396) all_23_5_36 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Simplifying 396 yields: % 6.46/2.12 | (397) all_23_5_36 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Combining equations (365,397) yields a new equation: % 6.46/2.12 | (398) all_19_3_25 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Simplifying 398 yields: % 6.46/2.12 | (399) all_19_3_25 = all_17_2_20 % 6.46/2.12 | % 6.46/2.12 | Combining equations (372,391) yields a new equation: % 6.46/2.12 | (400) all_15_1_14 = all_13_1_10 % 6.46/2.12 | % 6.46/2.12 | Simplifying 400 yields: % 6.46/2.12 | (401) all_15_1_14 = all_13_1_10 % 6.46/2.12 | % 6.46/2.12 | Combining equations (399,364) yields a new equation: % 6.46/2.12 | (402) all_17_2_20 = all_0_0_0 % 6.46/2.12 | % 6.46/2.12 | Simplifying 402 yields: % 6.46/2.12 | (403) all_17_2_20 = all_0_0_0 % 6.46/2.12 | % 6.46/2.12 | Combining equations (382,401) yields a new equation: % 6.46/2.12 | (404) all_13_1_10 = all_0_2_2 % 6.46/2.12 | % 6.46/2.12 | Combining equations (403,366) yields a new equation: % 6.46/2.12 | (405) all_27_0_43 = all_0_0_0 % 6.46/2.12 | % 6.46/2.12 | Combining equations (404,389) yields a new equation: % 6.46/2.12 | (406) all_29_3_53 = all_0_2_2 % 6.46/2.12 | % 6.46/2.12 | Combining equations (387,384) yields a new equation: % 6.46/2.12 | (369) all_39_3_79 = all_0_5_5 % 6.46/2.12 | % 6.46/2.12 | Combining equations (387,381) yields a new equation: % 6.46/2.12 | (408) all_41_3_84 = all_0_5_5 % 6.46/2.12 | % 6.46/2.12 | Combining equations (408,368) yields a new equation: % 6.46/2.12 | (409) all_55_5_117 = all_0_5_5 % 6.46/2.12 | % 6.46/2.12 | From (360) and (185) follows: % 6.46/2.12 | (410) vmul(vd448, all_0_1_1) = all_55_0_112 % 6.46/2.12 | % 6.46/2.12 | From (353) and (156) follows: % 6.46/2.12 | (411) vmul(vd448, all_0_1_1) = all_39_0_76 % 6.46/2.12 | % 6.46/2.12 | From (386)(406) and (123) follows: % 6.46/2.12 | (412) vmul(vd448, all_0_1_1) = all_0_2_2 % 6.46/2.12 | % 6.46/2.12 | From (393) and (114) follows: % 6.46/2.12 | (413) vmul(vd448, all_0_1_1) = all_27_2_45 % 6.46/2.12 | % 6.46/2.12 +-Applying beta-rule and splitting (155), into two cases. % 6.46/2.12 |-Branch one: % 6.46/2.12 | (414) ~ (all_39_3_79 = all_0_5_5) % 6.46/2.12 | % 6.46/2.12 | Equations (369) can reduce 414 to: % 6.46/2.12 | (336) $false % 6.46/2.12 | % 6.46/2.12 |-The branch is then unsatisfiable % 6.46/2.12 |-Branch two: % 6.46/2.12 | (369) all_39_3_79 = all_0_5_5 % 6.46/2.12 | (417) all_39_0_76 = all_39_2_78 % 6.46/2.12 | % 6.46/2.12 | From (417) and (411) follows: % 6.46/2.12 | (418) vmul(vd448, all_0_1_1) = all_39_2_78 % 6.46/2.12 | % 6.46/2.12 +-Applying beta-rule and splitting (117), into two cases. % 6.46/2.12 |-Branch one: % 6.46/2.12 | (419) ~ (all_27_4_47 = all_27_6_49) % 6.46/2.12 | % 6.46/2.12 | Equations (387,296) can reduce 419 to: % 6.46/2.12 | (336) $false % 6.46/2.12 | % 6.46/2.12 |-The branch is then unsatisfiable % 6.46/2.12 |-Branch two: % 6.46/2.12 | (421) all_27_4_47 = all_27_6_49 % 6.46/2.12 | (422) all_27_0_43 = all_27_2_45 % 6.46/2.12 | % 6.46/2.12 | Combining equations (405,422) yields a new equation: % 6.46/2.12 | (423) all_27_2_45 = all_0_0_0 % 6.46/2.12 | % 6.46/2.12 | From (423) and (413) follows: % 6.46/2.12 | (39) vmul(vd448, all_0_1_1) = all_0_0_0 % 6.46/2.12 | % 6.46/2.12 +-Applying beta-rule and splitting (191), into two cases. % 6.46/2.12 |-Branch one: % 6.46/2.12 | (425) ~ (all_55_5_117 = all_0_5_5) % 6.46/2.12 | % 6.46/2.12 | Equations (409) can reduce 425 to: % 6.46/2.12 | (336) $false % 6.46/2.12 | % 6.46/2.12 |-The branch is then unsatisfiable % 6.46/2.12 |-Branch two: % 6.46/2.12 | (409) all_55_5_117 = all_0_5_5 % 6.46/2.12 | (428) all_55_0_112 = all_55_3_115 % 6.46/2.12 | % 6.46/2.12 | From (428) and (410) follows: % 6.46/2.12 | (429) vmul(vd448, all_0_1_1) = all_55_3_115 % 6.46/2.12 | % 6.46/2.12 | Instantiating formula (6) with vd448, all_0_1_1, all_39_2_78, all_0_0_0 and discharging atoms vmul(vd448, all_0_1_1) = all_39_2_78, vmul(vd448, all_0_1_1) = all_0_0_0, yields: % 6.46/2.12 | (430) all_39_2_78 = all_0_0_0 % 6.46/2.12 | % 6.46/2.13 | Instantiating formula (6) with vd448, all_0_1_1, all_39_2_78, all_55_3_115 and discharging atoms vmul(vd448, all_0_1_1) = all_55_3_115, vmul(vd448, all_0_1_1) = all_39_2_78, yields: % 6.46/2.13 | (431) all_55_3_115 = all_39_2_78 % 6.46/2.13 | % 6.46/2.13 | Instantiating formula (6) with vd448, all_0_1_1, all_0_2_2, all_55_3_115 and discharging atoms vmul(vd448, all_0_1_1) = all_55_3_115, vmul(vd448, all_0_1_1) = all_0_2_2, yields: % 6.46/2.13 | (432) all_55_3_115 = all_0_2_2 % 6.46/2.13 | % 6.46/2.13 | Combining equations (431,432) yields a new equation: % 6.46/2.13 | (433) all_39_2_78 = all_0_2_2 % 6.46/2.13 | % 6.46/2.13 | Simplifying 433 yields: % 6.46/2.13 | (434) all_39_2_78 = all_0_2_2 % 6.46/2.13 | % 6.46/2.13 | Combining equations (430,434) yields a new equation: % 6.46/2.13 | (435) all_0_0_0 = all_0_2_2 % 6.46/2.13 | % 6.46/2.13 | Simplifying 435 yields: % 6.46/2.13 | (436) all_0_0_0 = all_0_2_2 % 6.46/2.13 | % 6.46/2.13 | Equations (436) can reduce 7 to: % 6.46/2.13 | (336) $false % 6.46/2.13 | % 6.46/2.13 |-The branch is then unsatisfiable % 6.46/2.13 % SZS output end Proof for theBenchmark % 6.46/2.13 % 6.46/2.13 1529ms %------------------------------------------------------------------------------