%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : RNG044+1 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n001.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 : 300s % DateTime : Thu Aug 31 13:57:31 EDT 2023 % Result : Theorem 8.09s 1.87s % Output : Proof 14.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : RNG044+1 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n001.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sun Aug 27 02:38:46 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.86/1.01 Prover 4: Preprocessing ... % 1.86/1.01 Prover 1: Preprocessing ... % 2.52/1.05 Prover 2: Preprocessing ... % 2.52/1.05 Prover 0: Preprocessing ... % 2.52/1.05 Prover 6: Preprocessing ... % 2.52/1.05 Prover 5: Preprocessing ... % 2.52/1.05 Prover 3: Preprocessing ... % 4.72/1.34 Prover 6: Constructing countermodel ... % 4.72/1.35 Prover 1: Constructing countermodel ... % 4.72/1.36 Prover 3: Constructing countermodel ... % 5.32/1.43 Prover 5: Constructing countermodel ... % 5.32/1.46 Prover 4: Constructing countermodel ... % 5.78/1.52 Prover 0: Proving ... % 5.78/1.60 Prover 2: Proving ... % 8.09/1.87 Prover 0: proved (1244ms) % 8.09/1.87 % 8.09/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.09/1.87 % 8.09/1.87 Prover 6: stopped % 8.09/1.87 Prover 3: stopped % 8.09/1.88 Prover 5: stopped % 8.09/1.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.09/1.89 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.09/1.89 Prover 2: stopped % 8.09/1.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.09/1.89 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.09/1.89 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.09/1.91 Prover 8: Preprocessing ... % 8.67/1.93 Prover 10: Preprocessing ... % 8.67/1.93 Prover 7: Preprocessing ... % 8.67/1.93 Prover 11: Preprocessing ... % 8.67/1.94 Prover 13: Preprocessing ... % 9.19/2.01 Prover 10: Constructing countermodel ... % 9.19/2.03 Prover 8: Warning: ignoring some quantifiers % 9.19/2.05 Prover 8: Constructing countermodel ... % 10.20/2.13 Prover 11: Constructing countermodel ... % 10.20/2.15 Prover 7: Constructing countermodel ... % 10.20/2.16 Prover 13: Constructing countermodel ... % 11.46/2.32 Prover 10: gave up % 11.46/2.33 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 11.46/2.39 Prover 16: Preprocessing ... % 11.46/2.43 Prover 16: Constructing countermodel ... % 12.12/2.52 Prover 1: gave up % 13.19/2.54 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 13.19/2.54 Prover 4: Found proof (size 164) % 13.19/2.54 Prover 4: proved (1916ms) % 13.19/2.54 Prover 16: stopped % 13.19/2.54 Prover 8: stopped % 13.19/2.54 Prover 11: stopped % 13.19/2.54 Prover 13: stopped % 13.19/2.55 Prover 7: stopped % 13.19/2.55 Prover 19: Preprocessing ... % 13.35/2.60 Prover 19: Warning: ignoring some quantifiers % 13.35/2.60 Prover 19: Constructing countermodel ... % 13.35/2.60 Prover 19: stopped % 13.35/2.60 % 13.35/2.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.35/2.60 % 13.66/2.64 % SZS output start Proof for theBenchmark % 13.66/2.64 Assumptions after simplification: % 13.66/2.64 --------------------------------- % 13.66/2.64 % 13.66/2.64 (mDistr) % 13.82/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 13.82/2.68 $i] : ( ~ (sdtasdt0(v1, v2) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ % 13.82/2.68 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : % 13.82/2.68 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 13.82/2.68 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v13, v2) = v14 & % 13.82/2.68 sdtasdt0(v0, v9) = v10 & sdtasdt0(v0, v1) = v11 & sdtpldt0(v11, v3) = v12 % 13.82/2.68 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v13 & aScalar0(v2) = v8 & % 13.82/2.68 aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) & % 13.82/2.68 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | % 13.82/2.68 (v14 = v5 & v12 = v10)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.82/2.68 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ % 13.82/2.68 (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) % 13.82/2.68 | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? % 13.82/2.68 [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 13.82/2.68 (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & % 13.82/2.68 sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & % 13.82/2.68 aScalar0(v2) = v8 & aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & % 13.82/2.68 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = % 13.82/2.68 0) | ~ (v6 = 0) | (v14 = v12 & v10 = v5)))) & ! [v0: $i] : ! [v1: % 13.82/2.68 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtasdt0(v3, v2) = v4) % 13.82/2.68 | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: % 13.82/2.68 any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 13.82/2.68 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 13.82/2.68 (sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v8) = v9 & sdtasdt0(v0, v2) = v11 & % 13.82/2.68 sdtasdt0(v0, v1) = v10 & sdtpldt0(v11, v13) = v14 & sdtpldt0(v10, v11) = % 13.82/2.68 v12 & sdtpldt0(v1, v2) = v8 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & % 13.82/2.68 aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 13.82/2.68 $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v14 = v4 & % 13.82/2.68 v12 = v9)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 13.82/2.68 ! [v4: $i] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ % 13.82/2.68 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 13.82/2.68 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : % 13.82/2.68 ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = % 13.82/2.68 v13 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v9, v13) = % 13.82/2.68 v14 & sdtpldt0(v8, v9) = v10 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v7 % 13.82/2.68 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & % 13.82/2.68 $i(v11) & $i(v10) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 % 13.82/2.68 = 0) | (v14 = v12 & v10 = v4)))) % 13.82/2.68 % 13.82/2.68 (mMulSc) % 13.82/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 13.82/2.68 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 13.82/2.68 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | % 13.82/2.68 ~ (v3 = 0) | v5 = 0))) % 13.82/2.68 % 13.82/2.68 (mSumSc) % 13.82/2.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 13.82/2.68 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 13.82/2.68 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | % 13.82/2.68 ~ (v3 = 0) | v5 = 0))) % 13.82/2.68 % 13.82/2.68 (m__) % 13.82/2.68 $i(xv) & $i(xu) & $i(xy) & $i(xx) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 13.82/2.68 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 13.82/2.68 $i] : ? [v9: $i] : ( ~ (v9 = v2) & sdtasdt0(v0, v1) = v2 & sdtasdt0(xy, xv) % 13.82/2.68 = v7 & sdtasdt0(xy, xu) = v6 & sdtasdt0(xx, xv) = v4 & sdtasdt0(xx, xu) = v3 % 13.82/2.68 & sdtpldt0(v6, v7) = v8 & sdtpldt0(v5, v8) = v9 & sdtpldt0(v3, v4) = v5 & % 13.82/2.68 sdtpldt0(xu, xv) = v1 & sdtpldt0(xx, xy) = v0 & $i(v9) & $i(v8) & $i(v7) & % 13.82/2.68 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 13.82/2.68 % 13.82/2.68 (m__674) % 13.82/2.68 aScalar0(xv) = 0 & aScalar0(xu) = 0 & aScalar0(xy) = 0 & aScalar0(xx) = 0 & % 13.82/2.68 $i(xv) & $i(xu) & $i(xy) & $i(xx) % 13.82/2.68 % 13.82/2.68 (function-axioms) % 13.82/2.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.82/2.69 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 13.82/2.69 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | % 13.82/2.69 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.82/2.69 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (iLess0(v3, % 13.82/2.69 v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 13.82/2.69 [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0: % 13.82/2.69 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.82/2.69 ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 13.82/2.69 : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = % 13.82/2.69 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.82/2.69 $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = % 13.82/2.69 v0)) % 13.82/2.69 % 13.82/2.69 Further assumptions not needed in the proof: % 13.82/2.69 -------------------------------------------- % 13.82/2.69 mArith, mIH, mIHOrd, mNatExtr, mNatSort, mNegSc, mSZeroSc, mScSort, mScZero, % 13.82/2.69 mSuccEqu, mSuccNat, mZeroNat % 13.82/2.69 % 13.82/2.69 Those formulas are unsatisfiable: % 13.82/2.69 --------------------------------- % 13.82/2.69 % 13.82/2.69 Begin of proof % 13.82/2.69 | % 13.82/2.69 | ALPHA: (mDistr) implies: % 13.82/2.69 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 13.82/2.69 | ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) | % 13.82/2.69 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : % 13.82/2.69 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] % 13.82/2.69 | : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 & % 13.82/2.69 | sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = % 13.82/2.69 | v8 & sdtpldt0(v9, v13) = v14 & sdtpldt0(v8, v9) = v10 & % 13.82/2.69 | sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & % 13.82/2.69 | aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 13.82/2.69 | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v14 % 13.82/2.69 | = v12 & v10 = v4)))) % 13.82/2.69 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 13.82/2.69 | ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | % 13.82/2.69 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : % 13.82/2.69 | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] % 13.82/2.69 | : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v1, v2) = v13 & % 13.82/2.69 | sdtasdt0(v0, v8) = v9 & sdtasdt0(v0, v2) = v11 & sdtasdt0(v0, v1) = % 13.82/2.69 | v10 & sdtpldt0(v11, v13) = v14 & sdtpldt0(v10, v11) = v12 & % 13.82/2.69 | sdtpldt0(v1, v2) = v8 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & % 13.82/2.69 | aScalar0(v0) = v5 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 13.82/2.69 | & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v14 % 13.82/2.69 | = v4 & v12 = v9)))) % 13.82/2.69 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 13.82/2.69 | ! [v5: $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | % 13.82/2.69 | ~ (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 13.82/2.69 | [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] % 13.82/2.69 | : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 13.82/2.69 | (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) % 13.82/2.69 | = v10 & sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & % 13.82/2.69 | sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & aScalar0(v1) = v7 & % 13.82/2.69 | aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 13.82/2.69 | & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v12 & % 13.82/2.69 | v10 = v5)))) % 13.82/2.69 | % 13.82/2.69 | ALPHA: (m__674) implies: % 13.82/2.69 | (4) aScalar0(xx) = 0 % 13.82/2.69 | (5) aScalar0(xy) = 0 % 13.82/2.69 | (6) aScalar0(xu) = 0 % 13.82/2.70 | (7) aScalar0(xv) = 0 % 13.82/2.70 | % 13.82/2.70 | ALPHA: (m__) implies: % 13.82/2.70 | (8) $i(xx) % 13.82/2.70 | (9) $i(xy) % 13.82/2.70 | (10) $i(xu) % 13.82/2.70 | (11) $i(xv) % 13.82/2.70 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 13.82/2.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ( % 13.82/2.70 | ~ (v9 = v2) & sdtasdt0(v0, v1) = v2 & sdtasdt0(xy, xv) = v7 & % 13.82/2.70 | sdtasdt0(xy, xu) = v6 & sdtasdt0(xx, xv) = v4 & sdtasdt0(xx, xu) = % 13.82/2.70 | v3 & sdtpldt0(v6, v7) = v8 & sdtpldt0(v5, v8) = v9 & sdtpldt0(v3, % 13.82/2.70 | v4) = v5 & sdtpldt0(xu, xv) = v1 & sdtpldt0(xx, xy) = v0 & $i(v9) % 13.82/2.70 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 13.82/2.70 | $i(v1) & $i(v0)) % 13.82/2.70 | % 13.82/2.70 | ALPHA: (function-axioms) implies: % 13.82/2.70 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.82/2.70 | : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) % 13.82/2.70 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.82/2.70 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 13.82/2.70 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 13.82/2.70 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 13.82/2.70 | % 13.82/2.70 | DELTA: instantiating (12) with fresh symbols all_13_0, all_13_1, all_13_2, % 13.82/2.70 | all_13_3, all_13_4, all_13_5, all_13_6, all_13_7, all_13_8, all_13_9 % 13.82/2.70 | gives: % 13.82/2.70 | (16) ~ (all_13_0 = all_13_7) & sdtasdt0(all_13_9, all_13_8) = all_13_7 & % 13.82/2.70 | sdtasdt0(xy, xv) = all_13_2 & sdtasdt0(xy, xu) = all_13_3 & % 13.82/2.70 | sdtasdt0(xx, xv) = all_13_5 & sdtasdt0(xx, xu) = all_13_6 & % 13.82/2.70 | sdtpldt0(all_13_3, all_13_2) = all_13_1 & sdtpldt0(all_13_4, all_13_1) % 13.82/2.70 | = all_13_0 & sdtpldt0(all_13_6, all_13_5) = all_13_4 & sdtpldt0(xu, % 13.82/2.70 | xv) = all_13_8 & sdtpldt0(xx, xy) = all_13_9 & $i(all_13_0) & % 13.82/2.70 | $i(all_13_1) & $i(all_13_2) & $i(all_13_3) & $i(all_13_4) & % 13.82/2.70 | $i(all_13_5) & $i(all_13_6) & $i(all_13_7) & $i(all_13_8) & % 13.82/2.70 | $i(all_13_9) % 13.82/2.70 | % 13.82/2.70 | ALPHA: (16) implies: % 13.82/2.70 | (17) ~ (all_13_0 = all_13_7) % 13.82/2.70 | (18) $i(all_13_9) % 13.82/2.70 | (19) $i(all_13_8) % 13.82/2.70 | (20) sdtpldt0(xx, xy) = all_13_9 % 13.82/2.70 | (21) sdtpldt0(xu, xv) = all_13_8 % 13.82/2.70 | (22) sdtpldt0(all_13_6, all_13_5) = all_13_4 % 13.82/2.70 | (23) sdtpldt0(all_13_4, all_13_1) = all_13_0 % 13.82/2.70 | (24) sdtpldt0(all_13_3, all_13_2) = all_13_1 % 13.82/2.70 | (25) sdtasdt0(xx, xu) = all_13_6 % 13.82/2.70 | (26) sdtasdt0(xx, xv) = all_13_5 % 13.82/2.70 | (27) sdtasdt0(xy, xu) = all_13_3 % 13.82/2.70 | (28) sdtasdt0(xy, xv) = all_13_2 % 13.82/2.70 | (29) sdtasdt0(all_13_9, all_13_8) = all_13_7 % 13.82/2.70 | % 13.82/2.70 | GROUND_INST: instantiating (mSumSc) with xx, xy, all_13_9, simplifying with % 13.82/2.70 | (8), (9), (20) gives: % 13.82/2.70 | (30) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_9) = v2 % 13.82/2.70 | & aScalar0(xy) = v1 & aScalar0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) % 13.82/2.70 | | v2 = 0)) % 13.82/2.70 | % 13.82/2.70 | GROUND_INST: instantiating (mSumSc) with xu, xv, all_13_8, simplifying with % 13.82/2.70 | (10), (11), (21) gives: % 13.82/2.71 | (31) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_8) = v2 % 13.82/2.71 | & aScalar0(xv) = v1 & aScalar0(xu) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) % 13.82/2.71 | | v2 = 0)) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xx, xu, all_13_6, simplifying with % 13.82/2.71 | (8), (10), (25) gives: % 13.82/2.71 | (32) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_6) = v2 % 13.82/2.71 | & aScalar0(xu) = v1 & aScalar0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) % 13.82/2.71 | | v2 = 0)) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (3) with xx, xu, xv, all_13_6, all_13_5, all_13_4, % 13.82/2.71 | simplifying with (8), (10), (11), (22), (25), (26) gives: % 13.82/2.71 | (33) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 13.82/2.71 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 13.82/2.71 | (sdtasdt0(v5, xv) = v6 & sdtasdt0(xu, xv) = v7 & sdtasdt0(xx, v3) = v4 % 13.82/2.71 | & sdtpldt0(all_13_5, v7) = v8 & sdtpldt0(xu, xv) = v3 & sdtpldt0(xx, % 13.82/2.71 | xu) = v5 & aScalar0(xv) = v2 & aScalar0(xu) = v1 & aScalar0(xx) = % 13.82/2.71 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = % 13.82/2.71 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_13_4))) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xx, xv, all_13_5, simplifying with % 13.82/2.71 | (8), (11), (26) gives: % 13.82/2.71 | (34) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_5) = v2 % 13.82/2.71 | & aScalar0(xv) = v1 & aScalar0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) % 13.82/2.71 | | v2 = 0)) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xy, xu, all_13_3, simplifying with % 13.82/2.71 | (9), (10), (27) gives: % 13.82/2.71 | (35) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_3) = v2 % 13.82/2.71 | & aScalar0(xu) = v1 & aScalar0(xy) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) % 13.82/2.71 | | v2 = 0)) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (3) with xy, xu, xv, all_13_3, all_13_2, all_13_1, % 13.82/2.71 | simplifying with (9), (10), (11), (24), (27), (28) gives: % 13.82/2.71 | (36) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 13.82/2.71 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 13.82/2.71 | (sdtasdt0(v5, xv) = v6 & sdtasdt0(xu, xv) = v7 & sdtasdt0(xy, v3) = v4 % 13.82/2.71 | & sdtpldt0(all_13_2, v7) = v8 & sdtpldt0(xu, xv) = v3 & sdtpldt0(xy, % 13.82/2.71 | xu) = v5 & aScalar0(xv) = v2 & aScalar0(xu) = v1 & aScalar0(xy) = % 13.82/2.71 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = % 13.82/2.71 | 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_13_1))) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (mMulSc) with xy, xv, all_13_2, simplifying with % 13.82/2.71 | (9), (11), (28) gives: % 13.82/2.71 | (37) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_13_2) = v2 % 13.82/2.71 | & aScalar0(xv) = v1 & aScalar0(xy) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) % 13.82/2.71 | | v2 = 0)) % 13.82/2.71 | % 13.82/2.71 | GROUND_INST: instantiating (1) with all_13_9, xu, xv, all_13_8, all_13_7, % 13.82/2.71 | simplifying with (10), (11), (18), (21), (29) gives: % 13.82/2.71 | (38) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 13.82/2.71 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] % 13.82/2.71 | : (sdtasdt0(v6, xv) = v7 & sdtasdt0(all_13_9, xv) = v4 & % 13.82/2.71 | sdtasdt0(all_13_9, xu) = v3 & sdtasdt0(xu, xv) = v8 & sdtpldt0(v4, % 13.82/2.71 | v8) = v9 & sdtpldt0(v3, v4) = v5 & sdtpldt0(all_13_9, xu) = v6 & % 13.82/2.71 | aScalar0(all_13_9) = v0 & aScalar0(xv) = v2 & aScalar0(xu) = v1 & % 13.82/2.71 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ % 13.82/2.71 | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v9 = v7 & v5 = all_13_7))) % 13.82/2.71 | % 13.82/2.72 | GROUND_INST: instantiating (2) with xx, xy, all_13_8, all_13_9, all_13_7, % 13.82/2.72 | simplifying with (8), (9), (19), (20), (29) gives: % 13.82/2.72 | (39) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 13.82/2.72 | : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] % 13.82/2.72 | : (sdtasdt0(xy, all_13_8) = v8 & sdtasdt0(xx, v3) = v4 & sdtasdt0(xx, % 13.82/2.72 | all_13_8) = v6 & sdtasdt0(xx, xy) = v5 & sdtpldt0(v6, v8) = v9 & % 13.82/2.72 | sdtpldt0(v5, v6) = v7 & sdtpldt0(xy, all_13_8) = v3 & % 13.82/2.72 | aScalar0(all_13_8) = v2 & aScalar0(xy) = v1 & aScalar0(xx) = v0 & % 13.82/2.72 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ % 13.82/2.72 | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v9 = all_13_7 & v7 = v4))) % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (37) with fresh symbols all_40_0, all_40_1, all_40_2 % 13.82/2.72 | gives: % 13.82/2.72 | (40) aScalar0(all_13_2) = all_40_0 & aScalar0(xv) = all_40_1 & aScalar0(xy) % 13.82/2.72 | = all_40_2 & ( ~ (all_40_1 = 0) | ~ (all_40_2 = 0) | all_40_0 = 0) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (40) implies: % 13.82/2.72 | (41) aScalar0(xy) = all_40_2 % 13.82/2.72 | (42) aScalar0(xv) = all_40_1 % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (31) with fresh symbols all_44_0, all_44_1, all_44_2 % 13.82/2.72 | gives: % 13.82/2.72 | (43) aScalar0(all_13_8) = all_44_0 & aScalar0(xv) = all_44_1 & aScalar0(xu) % 13.82/2.72 | = all_44_2 & ( ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | all_44_0 = 0) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (43) implies: % 13.82/2.72 | (44) aScalar0(xu) = all_44_2 % 13.82/2.72 | (45) aScalar0(xv) = all_44_1 % 13.82/2.72 | (46) aScalar0(all_13_8) = all_44_0 % 13.82/2.72 | (47) ~ (all_44_1 = 0) | ~ (all_44_2 = 0) | all_44_0 = 0 % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (35) with fresh symbols all_48_0, all_48_1, all_48_2 % 13.82/2.72 | gives: % 13.82/2.72 | (48) aScalar0(all_13_3) = all_48_0 & aScalar0(xu) = all_48_1 & aScalar0(xy) % 13.82/2.72 | = all_48_2 & ( ~ (all_48_1 = 0) | ~ (all_48_2 = 0) | all_48_0 = 0) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (48) implies: % 13.82/2.72 | (49) aScalar0(xy) = all_48_2 % 13.82/2.72 | (50) aScalar0(xu) = all_48_1 % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (32) with fresh symbols all_50_0, all_50_1, all_50_2 % 13.82/2.72 | gives: % 13.82/2.72 | (51) aScalar0(all_13_6) = all_50_0 & aScalar0(xu) = all_50_1 & aScalar0(xx) % 13.82/2.72 | = all_50_2 & ( ~ (all_50_1 = 0) | ~ (all_50_2 = 0) | all_50_0 = 0) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (51) implies: % 13.82/2.72 | (52) aScalar0(xx) = all_50_2 % 13.82/2.72 | (53) aScalar0(xu) = all_50_1 % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (30) with fresh symbols all_52_0, all_52_1, all_52_2 % 13.82/2.72 | gives: % 13.82/2.72 | (54) aScalar0(all_13_9) = all_52_0 & aScalar0(xy) = all_52_1 & aScalar0(xx) % 13.82/2.72 | = all_52_2 & ( ~ (all_52_1 = 0) | ~ (all_52_2 = 0) | all_52_0 = 0) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (54) implies: % 13.82/2.72 | (55) aScalar0(xx) = all_52_2 % 13.82/2.72 | (56) aScalar0(xy) = all_52_1 % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (34) with fresh symbols all_54_0, all_54_1, all_54_2 % 13.82/2.72 | gives: % 13.82/2.72 | (57) aScalar0(all_13_5) = all_54_0 & aScalar0(xv) = all_54_1 & aScalar0(xx) % 13.82/2.72 | = all_54_2 & ( ~ (all_54_1 = 0) | ~ (all_54_2 = 0) | all_54_0 = 0) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (57) implies: % 13.82/2.72 | (58) aScalar0(xx) = all_54_2 % 13.82/2.72 | (59) aScalar0(xv) = all_54_1 % 13.82/2.72 | % 13.82/2.72 | DELTA: instantiating (33) with fresh symbols all_70_0, all_70_1, all_70_2, % 13.82/2.72 | all_70_3, all_70_4, all_70_5, all_70_6, all_70_7, all_70_8 gives: % 13.82/2.72 | (60) sdtasdt0(all_70_3, xv) = all_70_2 & sdtasdt0(xu, xv) = all_70_1 & % 13.82/2.72 | sdtasdt0(xx, all_70_5) = all_70_4 & sdtpldt0(all_13_5, all_70_1) = % 13.82/2.72 | all_70_0 & sdtpldt0(xu, xv) = all_70_5 & sdtpldt0(xx, xu) = all_70_3 & % 13.82/2.72 | aScalar0(xv) = all_70_6 & aScalar0(xu) = all_70_7 & aScalar0(xx) = % 13.82/2.72 | all_70_8 & $i(all_70_0) & $i(all_70_1) & $i(all_70_2) & $i(all_70_3) & % 13.82/2.72 | $i(all_70_4) & $i(all_70_5) & ( ~ (all_70_6 = 0) | ~ (all_70_7 = 0) | % 13.82/2.72 | ~ (all_70_8 = 0) | (all_70_0 = all_70_2 & all_70_4 = all_13_4)) % 13.82/2.72 | % 13.82/2.72 | ALPHA: (60) implies: % 13.82/2.72 | (61) aScalar0(xx) = all_70_8 % 13.82/2.72 | (62) aScalar0(xu) = all_70_7 % 13.82/2.72 | (63) aScalar0(xv) = all_70_6 % 13.82/2.73 | (64) sdtpldt0(xu, xv) = all_70_5 % 13.82/2.73 | (65) sdtasdt0(xx, all_70_5) = all_70_4 % 13.82/2.73 | (66) ~ (all_70_6 = 0) | ~ (all_70_7 = 0) | ~ (all_70_8 = 0) | (all_70_0 % 13.82/2.73 | = all_70_2 & all_70_4 = all_13_4) % 13.82/2.73 | % 13.82/2.73 | DELTA: instantiating (36) with fresh symbols all_72_0, all_72_1, all_72_2, % 13.82/2.73 | all_72_3, all_72_4, all_72_5, all_72_6, all_72_7, all_72_8 gives: % 13.82/2.73 | (67) sdtasdt0(all_72_3, xv) = all_72_2 & sdtasdt0(xu, xv) = all_72_1 & % 13.82/2.73 | sdtasdt0(xy, all_72_5) = all_72_4 & sdtpldt0(all_13_2, all_72_1) = % 13.82/2.73 | all_72_0 & sdtpldt0(xu, xv) = all_72_5 & sdtpldt0(xy, xu) = all_72_3 & % 13.82/2.73 | aScalar0(xv) = all_72_6 & aScalar0(xu) = all_72_7 & aScalar0(xy) = % 13.82/2.73 | all_72_8 & $i(all_72_0) & $i(all_72_1) & $i(all_72_2) & $i(all_72_3) & % 13.82/2.73 | $i(all_72_4) & $i(all_72_5) & ( ~ (all_72_6 = 0) | ~ (all_72_7 = 0) | % 13.82/2.73 | ~ (all_72_8 = 0) | (all_72_0 = all_72_2 & all_72_4 = all_13_1)) % 13.82/2.73 | % 13.82/2.73 | ALPHA: (67) implies: % 13.82/2.73 | (68) aScalar0(xy) = all_72_8 % 13.82/2.73 | (69) aScalar0(xu) = all_72_7 % 13.82/2.73 | (70) aScalar0(xv) = all_72_6 % 13.82/2.73 | (71) sdtpldt0(xu, xv) = all_72_5 % 13.82/2.73 | (72) sdtasdt0(xy, all_72_5) = all_72_4 % 13.82/2.73 | (73) ~ (all_72_6 = 0) | ~ (all_72_7 = 0) | ~ (all_72_8 = 0) | (all_72_0 % 13.82/2.73 | = all_72_2 & all_72_4 = all_13_1) % 13.82/2.73 | % 13.82/2.73 | DELTA: instantiating (39) with fresh symbols all_74_0, all_74_1, all_74_2, % 13.82/2.73 | all_74_3, all_74_4, all_74_5, all_74_6, all_74_7, all_74_8, all_74_9 % 13.82/2.73 | gives: % 13.82/2.73 | (74) sdtasdt0(xy, all_13_8) = all_74_1 & sdtasdt0(xx, all_74_6) = all_74_5 % 13.82/2.73 | & sdtasdt0(xx, all_13_8) = all_74_3 & sdtasdt0(xx, xy) = all_74_4 & % 13.82/2.73 | sdtpldt0(all_74_3, all_74_1) = all_74_0 & sdtpldt0(all_74_4, all_74_3) % 13.82/2.73 | = all_74_2 & sdtpldt0(xy, all_13_8) = all_74_6 & aScalar0(all_13_8) = % 13.82/2.73 | all_74_7 & aScalar0(xy) = all_74_8 & aScalar0(xx) = all_74_9 & % 13.82/2.73 | $i(all_74_0) & $i(all_74_1) & $i(all_74_2) & $i(all_74_3) & % 13.82/2.73 | $i(all_74_4) & $i(all_74_5) & $i(all_74_6) & ( ~ (all_74_7 = 0) | ~ % 13.82/2.73 | (all_74_8 = 0) | ~ (all_74_9 = 0) | (all_74_0 = all_13_7 & all_74_2 % 13.82/2.73 | = all_74_5)) % 13.82/2.73 | % 13.82/2.73 | ALPHA: (74) implies: % 13.82/2.73 | (75) aScalar0(xx) = all_74_9 % 13.82/2.73 | (76) aScalar0(xy) = all_74_8 % 13.82/2.73 | (77) aScalar0(all_13_8) = all_74_7 % 13.82/2.73 | (78) sdtpldt0(all_74_3, all_74_1) = all_74_0 % 13.82/2.73 | (79) sdtasdt0(xx, all_13_8) = all_74_3 % 13.82/2.73 | (80) sdtasdt0(xy, all_13_8) = all_74_1 % 13.82/2.73 | (81) ~ (all_74_7 = 0) | ~ (all_74_8 = 0) | ~ (all_74_9 = 0) | (all_74_0 % 13.82/2.73 | = all_13_7 & all_74_2 = all_74_5) % 13.82/2.73 | % 13.82/2.73 | DELTA: instantiating (38) with fresh symbols all_76_0, all_76_1, all_76_2, % 13.82/2.73 | all_76_3, all_76_4, all_76_5, all_76_6, all_76_7, all_76_8, all_76_9 % 13.82/2.73 | gives: % 13.82/2.73 | (82) sdtasdt0(all_76_3, xv) = all_76_2 & sdtasdt0(all_13_9, xv) = all_76_5 % 13.82/2.73 | & sdtasdt0(all_13_9, xu) = all_76_6 & sdtasdt0(xu, xv) = all_76_1 & % 13.82/2.73 | sdtpldt0(all_76_5, all_76_1) = all_76_0 & sdtpldt0(all_76_6, all_76_5) % 13.82/2.73 | = all_76_4 & sdtpldt0(all_13_9, xu) = all_76_3 & aScalar0(all_13_9) = % 13.82/2.73 | all_76_9 & aScalar0(xv) = all_76_7 & aScalar0(xu) = all_76_8 & % 13.82/2.73 | $i(all_76_0) & $i(all_76_1) & $i(all_76_2) & $i(all_76_3) & % 14.17/2.73 | $i(all_76_4) & $i(all_76_5) & $i(all_76_6) & ( ~ (all_76_7 = 0) | ~ % 14.17/2.73 | (all_76_8 = 0) | ~ (all_76_9 = 0) | (all_76_0 = all_76_2 & all_76_4 % 14.17/2.73 | = all_13_7)) % 14.17/2.73 | % 14.17/2.73 | ALPHA: (82) implies: % 14.17/2.73 | (83) aScalar0(xu) = all_76_8 % 14.17/2.73 | (84) aScalar0(xv) = all_76_7 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with 0, all_54_2, xx, simplifying with (4), % 14.17/2.73 | (58) gives: % 14.17/2.73 | (85) all_54_2 = 0 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_54_2, all_70_8, xx, simplifying with % 14.17/2.73 | (58), (61) gives: % 14.17/2.73 | (86) all_70_8 = all_54_2 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_52_2, all_70_8, xx, simplifying with % 14.17/2.73 | (55), (61) gives: % 14.17/2.73 | (87) all_70_8 = all_52_2 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_70_8, all_74_9, xx, simplifying with % 14.17/2.73 | (61), (75) gives: % 14.17/2.73 | (88) all_74_9 = all_70_8 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_50_2, all_74_9, xx, simplifying with % 14.17/2.73 | (52), (75) gives: % 14.17/2.73 | (89) all_74_9 = all_50_2 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_52_1, all_72_8, xy, simplifying with % 14.17/2.73 | (56), (68) gives: % 14.17/2.73 | (90) all_72_8 = all_52_1 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_40_2, all_72_8, xy, simplifying with % 14.17/2.73 | (41), (68) gives: % 14.17/2.73 | (91) all_72_8 = all_40_2 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with 0, all_74_8, xy, simplifying with (5), % 14.17/2.73 | (76) gives: % 14.17/2.73 | (92) all_74_8 = 0 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_52_1, all_74_8, xy, simplifying with % 14.17/2.73 | (56), (76) gives: % 14.17/2.73 | (93) all_74_8 = all_52_1 % 14.17/2.73 | % 14.17/2.73 | GROUND_INST: instantiating (13) with all_48_2, all_74_8, xy, simplifying with % 14.17/2.74 | (49), (76) gives: % 14.17/2.74 | (94) all_74_8 = all_48_2 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with 0, all_70_7, xu, simplifying with (6), % 14.17/2.74 | (62) gives: % 14.17/2.74 | (95) all_70_7 = 0 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_48_1, all_70_7, xu, simplifying with % 14.17/2.74 | (50), (62) gives: % 14.17/2.74 | (96) all_70_7 = all_48_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_48_1, all_72_7, xu, simplifying with % 14.17/2.74 | (50), (69) gives: % 14.17/2.74 | (97) all_72_7 = all_48_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_2, all_72_7, xu, simplifying with % 14.17/2.74 | (44), (69) gives: % 14.17/2.74 | (98) all_72_7 = all_44_2 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_72_7, all_76_8, xu, simplifying with % 14.17/2.74 | (69), (83) gives: % 14.17/2.74 | (99) all_76_8 = all_72_7 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_50_1, all_76_8, xu, simplifying with % 14.17/2.74 | (53), (83) gives: % 14.17/2.74 | (100) all_76_8 = all_50_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_1, all_54_1, xv, simplifying with % 14.17/2.74 | (45), (59) gives: % 14.17/2.74 | (101) all_54_1 = all_44_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with 0, all_70_6, xv, simplifying with (7), % 14.17/2.74 | (63) gives: % 14.17/2.74 | (102) all_70_6 = 0 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_1, all_70_6, xv, simplifying with % 14.17/2.74 | (45), (63) gives: % 14.17/2.74 | (103) all_70_6 = all_44_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_72_6, all_76_7, xv, simplifying with % 14.17/2.74 | (70), (84) gives: % 14.17/2.74 | (104) all_76_7 = all_72_6 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_54_1, all_76_7, xv, simplifying with % 14.17/2.74 | (59), (84) gives: % 14.17/2.74 | (105) all_76_7 = all_54_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_40_1, all_76_7, xv, simplifying with % 14.17/2.74 | (42), (84) gives: % 14.17/2.74 | (106) all_76_7 = all_40_1 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (13) with all_44_0, all_74_7, all_13_8, simplifying % 14.17/2.74 | with (46), (77) gives: % 14.17/2.74 | (107) all_74_7 = all_44_0 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (14) with all_13_8, all_72_5, xv, xu, simplifying % 14.17/2.74 | with (21), (71) gives: % 14.17/2.74 | (108) all_72_5 = all_13_8 % 14.17/2.74 | % 14.17/2.74 | GROUND_INST: instantiating (14) with all_70_5, all_72_5, xv, xu, simplifying % 14.17/2.74 | with (64), (71) gives: % 14.17/2.74 | (109) all_72_5 = all_70_5 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (104), (105) imply: % 14.17/2.74 | (110) all_72_6 = all_54_1 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (104), (106) imply: % 14.17/2.74 | (111) all_72_6 = all_40_1 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (99), (100) imply: % 14.17/2.74 | (112) all_72_7 = all_50_1 % 14.17/2.74 | % 14.17/2.74 | SIMP: (112) implies: % 14.17/2.74 | (113) all_72_7 = all_50_1 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (93), (94) imply: % 14.17/2.74 | (114) all_52_1 = all_48_2 % 14.17/2.74 | % 14.17/2.74 | SIMP: (114) implies: % 14.17/2.74 | (115) all_52_1 = all_48_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (92), (94) imply: % 14.17/2.74 | (116) all_48_2 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (88), (89) imply: % 14.17/2.74 | (117) all_70_8 = all_50_2 % 14.17/2.74 | % 14.17/2.74 | SIMP: (117) implies: % 14.17/2.74 | (118) all_70_8 = all_50_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (108), (109) imply: % 14.17/2.74 | (119) all_70_5 = all_13_8 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (110), (111) imply: % 14.17/2.74 | (120) all_54_1 = all_40_1 % 14.17/2.74 | % 14.17/2.74 | SIMP: (120) implies: % 14.17/2.74 | (121) all_54_1 = all_40_1 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (98), (113) imply: % 14.17/2.74 | (122) all_50_1 = all_44_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (97), (113) imply: % 14.17/2.74 | (123) all_50_1 = all_48_1 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (90), (91) imply: % 14.17/2.74 | (124) all_52_1 = all_40_2 % 14.17/2.74 | % 14.17/2.74 | SIMP: (124) implies: % 14.17/2.74 | (125) all_52_1 = all_40_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (102), (103) imply: % 14.17/2.74 | (126) all_44_1 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (126) implies: % 14.17/2.74 | (127) all_44_1 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (95), (96) imply: % 14.17/2.74 | (128) all_48_1 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (128) implies: % 14.17/2.74 | (129) all_48_1 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (86), (87) imply: % 14.17/2.74 | (130) all_54_2 = all_52_2 % 14.17/2.74 | % 14.17/2.74 | SIMP: (130) implies: % 14.17/2.74 | (131) all_54_2 = all_52_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (87), (118) imply: % 14.17/2.74 | (132) all_52_2 = all_50_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (101), (121) imply: % 14.17/2.74 | (133) all_44_1 = all_40_1 % 14.17/2.74 | % 14.17/2.74 | SIMP: (133) implies: % 14.17/2.74 | (134) all_44_1 = all_40_1 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (85), (131) imply: % 14.17/2.74 | (135) all_52_2 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (135) implies: % 14.17/2.74 | (136) all_52_2 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (115), (125) imply: % 14.17/2.74 | (137) all_48_2 = all_40_2 % 14.17/2.74 | % 14.17/2.74 | SIMP: (137) implies: % 14.17/2.74 | (138) all_48_2 = all_40_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (132), (136) imply: % 14.17/2.74 | (139) all_50_2 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (139) implies: % 14.17/2.74 | (140) all_50_2 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (122), (123) imply: % 14.17/2.74 | (141) all_48_1 = all_44_2 % 14.17/2.74 | % 14.17/2.74 | SIMP: (141) implies: % 14.17/2.74 | (142) all_48_1 = all_44_2 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (129), (142) imply: % 14.17/2.74 | (143) all_44_2 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (143) implies: % 14.17/2.74 | (144) all_44_2 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (116), (138) imply: % 14.17/2.74 | (145) all_40_2 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (145) implies: % 14.17/2.74 | (146) all_40_2 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (127), (134) imply: % 14.17/2.74 | (147) all_40_1 = 0 % 14.17/2.74 | % 14.17/2.74 | SIMP: (147) implies: % 14.17/2.74 | (148) all_40_1 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (122), (144) imply: % 14.17/2.74 | (149) all_50_1 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (87), (136) imply: % 14.17/2.74 | (150) all_70_8 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (91), (146) imply: % 14.17/2.74 | (151) all_72_8 = 0 % 14.17/2.74 | % 14.17/2.74 | COMBINE_EQS: (113), (149) imply: % 14.17/2.74 | (152) all_72_7 = 0 % 14.17/2.75 | % 14.17/2.75 | COMBINE_EQS: (111), (148) imply: % 14.17/2.75 | (153) all_72_6 = 0 % 14.17/2.75 | % 14.17/2.75 | COMBINE_EQS: (89), (140) imply: % 14.17/2.75 | (154) all_74_9 = 0 % 14.17/2.75 | % 14.17/2.75 | REDUCE: (72), (108) imply: % 14.17/2.75 | (155) sdtasdt0(xy, all_13_8) = all_72_4 % 14.17/2.75 | % 14.17/2.75 | REDUCE: (65), (119) imply: % 14.17/2.75 | (156) sdtasdt0(xx, all_13_8) = all_70_4 % 14.17/2.75 | % 14.17/2.75 | BETA: splitting (47) gives: % 14.17/2.75 | % 14.17/2.75 | Case 1: % 14.17/2.75 | | % 14.17/2.75 | | (157) ~ (all_44_1 = 0) % 14.17/2.75 | | % 14.17/2.75 | | REDUCE: (127), (157) imply: % 14.17/2.75 | | (158) $false % 14.17/2.75 | | % 14.17/2.75 | | CLOSE: (158) is inconsistent. % 14.17/2.75 | | % 14.17/2.75 | Case 2: % 14.17/2.75 | | % 14.17/2.75 | | (159) ~ (all_44_2 = 0) | all_44_0 = 0 % 14.17/2.75 | | % 14.17/2.75 | | BETA: splitting (66) gives: % 14.17/2.75 | | % 14.17/2.75 | | Case 1: % 14.17/2.75 | | | % 14.17/2.75 | | | (160) ~ (all_70_6 = 0) % 14.17/2.75 | | | % 14.17/2.75 | | | REDUCE: (102), (160) imply: % 14.17/2.75 | | | (161) $false % 14.17/2.75 | | | % 14.17/2.75 | | | CLOSE: (161) is inconsistent. % 14.17/2.75 | | | % 14.17/2.75 | | Case 2: % 14.17/2.75 | | | % 14.17/2.75 | | | (162) ~ (all_70_7 = 0) | ~ (all_70_8 = 0) | (all_70_0 = all_70_2 & % 14.17/2.75 | | | all_70_4 = all_13_4) % 14.17/2.75 | | | % 14.17/2.75 | | | BETA: splitting (162) gives: % 14.17/2.75 | | | % 14.17/2.75 | | | Case 1: % 14.17/2.75 | | | | % 14.17/2.75 | | | | (163) ~ (all_70_7 = 0) % 14.17/2.75 | | | | % 14.17/2.75 | | | | REDUCE: (95), (163) imply: % 14.17/2.75 | | | | (164) $false % 14.17/2.75 | | | | % 14.17/2.75 | | | | CLOSE: (164) is inconsistent. % 14.17/2.75 | | | | % 14.17/2.75 | | | Case 2: % 14.17/2.75 | | | | % 14.17/2.75 | | | | (165) ~ (all_70_8 = 0) | (all_70_0 = all_70_2 & all_70_4 = all_13_4) % 14.17/2.75 | | | | % 14.17/2.75 | | | | BETA: splitting (159) gives: % 14.17/2.75 | | | | % 14.17/2.75 | | | | Case 1: % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | (166) ~ (all_44_2 = 0) % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | REDUCE: (144), (166) imply: % 14.17/2.75 | | | | | (167) $false % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | CLOSE: (167) is inconsistent. % 14.17/2.75 | | | | | % 14.17/2.75 | | | | Case 2: % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | (168) all_44_0 = 0 % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | COMBINE_EQS: (107), (168) imply: % 14.17/2.75 | | | | | (169) all_74_7 = 0 % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | BETA: splitting (81) gives: % 14.17/2.75 | | | | | % 14.17/2.75 | | | | | Case 1: % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | | (170) ~ (all_74_7 = 0) % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | | REDUCE: (169), (170) imply: % 14.17/2.75 | | | | | | (171) $false % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | | CLOSE: (171) is inconsistent. % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | Case 2: % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | | (172) ~ (all_74_8 = 0) | ~ (all_74_9 = 0) | (all_74_0 = % 14.17/2.75 | | | | | | all_13_7 & all_74_2 = all_74_5) % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | | BETA: splitting (73) gives: % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | | Case 1: % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | | (173) ~ (all_72_6 = 0) % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | | REDUCE: (153), (173) imply: % 14.17/2.75 | | | | | | | (174) $false % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | | CLOSE: (174) is inconsistent. % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | Case 2: % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | | (175) ~ (all_72_7 = 0) | ~ (all_72_8 = 0) | (all_72_0 = % 14.17/2.75 | | | | | | | all_72_2 & all_72_4 = all_13_1) % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | | BETA: splitting (175) gives: % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | | Case 1: % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | | (176) ~ (all_72_7 = 0) % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | | REDUCE: (152), (176) imply: % 14.17/2.75 | | | | | | | | (177) $false % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | | CLOSE: (177) is inconsistent. % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | Case 2: % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | | (178) ~ (all_72_8 = 0) | (all_72_0 = all_72_2 & all_72_4 = % 14.17/2.75 | | | | | | | | all_13_1) % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | | BETA: splitting (165) gives: % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | | Case 1: % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | (179) ~ (all_70_8 = 0) % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | REDUCE: (150), (179) imply: % 14.17/2.75 | | | | | | | | | (180) $false % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | CLOSE: (180) is inconsistent. % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | Case 2: % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | (181) all_70_0 = all_70_2 & all_70_4 = all_13_4 % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | ALPHA: (181) implies: % 14.17/2.75 | | | | | | | | | (182) all_70_4 = all_13_4 % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | REDUCE: (156), (182) imply: % 14.17/2.75 | | | | | | | | | (183) sdtasdt0(xx, all_13_8) = all_13_4 % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | BETA: splitting (178) gives: % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | | Case 1: % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | (184) ~ (all_72_8 = 0) % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | REDUCE: (151), (184) imply: % 14.17/2.75 | | | | | | | | | | (185) $false % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | CLOSE: (185) is inconsistent. % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | Case 2: % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | (186) all_72_0 = all_72_2 & all_72_4 = all_13_1 % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | ALPHA: (186) implies: % 14.17/2.75 | | | | | | | | | | (187) all_72_4 = all_13_1 % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | REDUCE: (155), (187) imply: % 14.17/2.75 | | | | | | | | | | (188) sdtasdt0(xy, all_13_8) = all_13_1 % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | BETA: splitting (172) gives: % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | Case 1: % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | (189) ~ (all_74_8 = 0) % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | REDUCE: (92), (189) imply: % 14.17/2.75 | | | | | | | | | | | (190) $false % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | CLOSE: (190) is inconsistent. % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | Case 2: % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | (191) ~ (all_74_9 = 0) | (all_74_0 = all_13_7 & % 14.17/2.75 | | | | | | | | | | | all_74_2 = all_74_5) % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | BETA: splitting (191) gives: % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | Case 1: % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | (192) ~ (all_74_9 = 0) % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | REDUCE: (154), (192) imply: % 14.17/2.75 | | | | | | | | | | | | (193) $false % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | CLOSE: (193) is inconsistent. % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | Case 2: % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | (194) all_74_0 = all_13_7 & all_74_2 = all_74_5 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | ALPHA: (194) implies: % 14.17/2.75 | | | | | | | | | | | | (195) all_74_0 = all_13_7 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | REDUCE: (78), (195) imply: % 14.17/2.75 | | | | | | | | | | | | (196) sdtpldt0(all_74_3, all_74_1) = all_13_7 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_74_3, all_13_4, % 14.17/2.75 | | | | | | | | | | | | all_13_8, xx, simplifying with (79), (183) gives: % 14.17/2.75 | | | | | | | | | | | | (197) all_74_3 = all_13_4 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_74_1, all_13_1, % 14.17/2.75 | | | | | | | | | | | | all_13_8, xy, simplifying with (80), (188) gives: % 14.17/2.75 | | | | | | | | | | | | (198) all_74_1 = all_13_1 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | REDUCE: (196), (197), (198) imply: % 14.17/2.75 | | | | | | | | | | | | (199) sdtpldt0(all_13_4, all_13_1) = all_13_7 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_13_0, all_13_7, % 14.17/2.75 | | | | | | | | | | | | all_13_1, all_13_4, simplifying with (23), (199) % 14.17/2.75 | | | | | | | | | | | | gives: % 14.17/2.75 | | | | | | | | | | | | (200) all_13_0 = all_13_7 % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | REDUCE: (17), (200) imply: % 14.17/2.75 | | | | | | | | | | | | (201) $false % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | | CLOSE: (201) is inconsistent. % 14.17/2.75 | | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | | End of split % 14.17/2.75 | | | | | | | | | | | % 14.17/2.75 | | | | | | | | | | End of split % 14.17/2.75 | | | | | | | | | | % 14.17/2.75 | | | | | | | | | End of split % 14.17/2.75 | | | | | | | | | % 14.17/2.75 | | | | | | | | End of split % 14.17/2.75 | | | | | | | | % 14.17/2.75 | | | | | | | End of split % 14.17/2.75 | | | | | | | % 14.17/2.75 | | | | | | End of split % 14.17/2.75 | | | | | | % 14.17/2.75 | | | | | End of split % 14.17/2.75 | | | | | % 14.17/2.75 | | | | End of split % 14.17/2.75 | | | | % 14.17/2.75 | | | End of split % 14.17/2.75 | | | % 14.17/2.75 | | End of split % 14.17/2.75 | | % 14.17/2.75 | End of split % 14.17/2.75 | % 14.17/2.76 End of proof % 14.17/2.76 % SZS output end Proof for theBenchmark % 14.17/2.76 % 14.17/2.76 2154ms %------------------------------------------------------------------------------