%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 13:57:42 EDT 2023 % Result : Theorem 12.42s 2.41s % Output : Proof 23.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Sun Aug 27 02:42:32 EDT 2023 % 0.16/0.34 % CPUTime : % 0.21/0.58 ________ _____ % 0.21/0.58 ___ __ \_________(_)________________________________ % 0.21/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.58 % 0.21/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.58 (2023-06-19) % 0.21/0.58 % 0.21/0.58 (c) Philipp Rümmer, 2009-2023 % 0.21/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.58 Amanda Stjerna. % 0.21/0.58 Free software under BSD-3-Clause. % 0.21/0.58 % 0.21/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.58 % 0.21/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.60 Running up to 7 provers in parallel. % 0.21/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.25/1.18 Prover 1: Preprocessing ... % 3.68/1.19 Prover 4: Preprocessing ... % 3.68/1.23 Prover 0: Preprocessing ... % 3.68/1.23 Prover 3: Preprocessing ... % 3.68/1.23 Prover 2: Preprocessing ... % 3.68/1.23 Prover 6: Preprocessing ... % 3.68/1.23 Prover 5: Preprocessing ... % 9.20/1.94 Prover 1: Constructing countermodel ... % 9.20/1.95 Prover 3: Constructing countermodel ... % 9.20/2.00 Prover 6: Proving ... % 10.82/2.17 Prover 5: Constructing countermodel ... % 10.82/2.24 Prover 4: Constructing countermodel ... % 11.93/2.34 Prover 2: Proving ... % 12.42/2.41 Prover 3: proved (1800ms) % 12.42/2.41 % 12.42/2.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.42/2.41 % 12.42/2.41 Prover 6: stopped % 12.42/2.42 Prover 5: stopped % 12.42/2.42 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.42/2.42 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.69/2.42 Prover 2: stopped % 12.69/2.43 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.81/2.44 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.81/2.47 Prover 0: Proving ... % 12.81/2.48 Prover 0: stopped % 12.81/2.49 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.40/2.53 Prover 8: Preprocessing ... % 13.40/2.57 Prover 10: Preprocessing ... % 13.86/2.59 Prover 11: Preprocessing ... % 13.86/2.60 Prover 13: Preprocessing ... % 13.86/2.60 Prover 7: Preprocessing ... % 15.10/2.74 Prover 8: Warning: ignoring some quantifiers % 15.10/2.77 Prover 8: Constructing countermodel ... % 15.10/2.81 Prover 10: Constructing countermodel ... % 16.43/2.93 Prover 13: Constructing countermodel ... % 16.43/2.96 Prover 7: Constructing countermodel ... % 17.96/3.21 Prover 11: Constructing countermodel ... % 21.82/3.69 Prover 1: Found proof (size 356) % 21.82/3.69 Prover 1: proved (3086ms) % 21.82/3.69 Prover 4: stopped % 21.82/3.69 Prover 13: stopped % 21.82/3.69 Prover 11: stopped % 21.82/3.69 Prover 8: stopped % 21.82/3.69 Prover 7: stopped % 21.82/3.69 Prover 10: stopped % 21.82/3.69 % 21.82/3.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 21.82/3.70 % 22.28/3.76 % SZS output start Proof for theBenchmark % 22.28/3.77 Assumptions after simplification: % 22.28/3.77 --------------------------------- % 22.28/3.77 % 22.28/3.77 (mDistr) % 22.49/3.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.49/3.79 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ % 22.49/3.79 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : % 22.49/3.79 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 22.49/3.80 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 & % 22.49/3.80 sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14 % 22.49/3.80 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & % 22.49/3.80 aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) & % 22.49/3.80 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | % 22.49/3.80 (v14 = v12 & v10 = v5)))) % 22.49/3.80 % 22.49/3.80 (mLEASm) % 22.49/3.80 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1) % 22.49/3.80 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1, % 22.49/3.80 v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 % 22.49/3.80 = 0) | ~ (v2 = 0)))) % 22.49/3.80 % 22.49/3.80 (mLEMon) % 22.49/3.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.49/3.80 $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ % 22.49/3.80 (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) % 22.49/3.80 | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ? % 22.49/3.80 [v10: any] : ? [v11: any] : ? [v12: any] : (sdtlseqdt0(v2, v3) = v12 & % 22.49/3.80 sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & % 22.49/3.80 aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ % 22.49/3.80 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) % 22.49/3.80 % 22.49/3.80 (mMulSc) % 22.49/3.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 22.49/3.80 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 22.49/3.80 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | % 22.49/3.80 ~ (v3 = 0) | v5 = 0))) % 22.49/3.80 % 22.49/3.80 (mPosMon) % 22.49/3.80 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ % 22.49/3.80 (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 22.49/3.80 [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : % 22.49/3.80 (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, % 22.49/3.80 v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 % 22.49/3.80 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0)))) % 22.49/3.80 % 22.49/3.80 (mSqPos) % 22.49/3.80 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ % 22.49/3.80 $i(v0) | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 & % 22.49/3.80 aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 22.49/3.80 % 22.49/3.80 (mSqrt) % 22.49/3.80 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) % 22.49/3.80 = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: % 22.49/3.80 any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : (sdtasdt0(v1, v1) = v5 & % 22.49/3.80 sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & $i(v5) & % 22.49/3.80 $i(v4) & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) % 22.49/3.80 % 22.49/3.80 (mSumSc) % 22.49/3.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 22.49/3.80 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 22.49/3.81 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | % 22.49/3.81 ~ (v3 = 0) | v5 = 0))) % 22.49/3.81 % 22.49/3.81 (m__) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & % 22.49/3.81 sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__1892) % 22.49/3.81 sdtasdt0(xC, xG) = xR & aScalar0(xR) = 0 & $i(xR) & $i(xG) & $i(xC) % 22.49/3.81 % 22.49/3.81 (m__1911) % 22.49/3.81 sdtasdt0(xE, xH) = xP & aScalar0(xP) = 0 & $i(xP) & $i(xH) & $i(xE) % 22.49/3.81 % 22.49/3.81 (m__1930) % 22.49/3.81 sdtasdt0(xF, xD) = xS & aScalar0(xS) = 0 & $i(xS) & $i(xF) & $i(xD) % 22.49/3.81 % 22.49/3.81 (m__2004) % 22.49/3.81 $i(xN) & $i(xP) & ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) = % 22.49/3.81 v0 & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__2104) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 22.49/3.81 $i] : ? [v4: $i] : (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 & % 22.49/3.81 sdtasdt0(xP, xP) = v0 & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & % 22.49/3.81 sdtpldt0(v0, v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__2405) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 22.49/3.81 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = % 22.49/3.81 v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & % 22.49/3.81 $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__2590) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 % 22.49/3.81 = 0) & sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) % 22.49/3.81 = v1 & $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__2610) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 % 22.49/3.81 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__2628) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) & ? [v0: $i] : ? [v1: $i] : % 22.49/3.81 (sdtlseqdt0(sz0z00, v1) = 0 & sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = % 22.49/3.81 v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (m__2654) % 22.49/3.81 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 22.49/3.81 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = % 22.49/3.81 v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) & % 22.49/3.81 $i(v1) & $i(v0)) % 22.49/3.81 % 22.49/3.81 (function-axioms) % 22.49/3.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.49/3.82 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 22.49/3.82 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) % 22.49/3.82 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 22.49/3.82 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.49/3.82 (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 22.49/3.82 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | % 22.49/3.82 ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 22.49/3.82 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 22.49/3.82 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 22.49/3.82 [v3: $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & % 22.49/3.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) % 22.49/3.82 | ~ (sziznziztdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 22.49/3.82 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ % 22.49/3.82 (aVector0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 22.49/3.82 ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0: $i] : ! % 22.49/3.82 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = % 22.49/3.82 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 22.49/3.82 $i] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0: % 22.49/3.82 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ % 22.49/3.82 (szszuzczcdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 22.49/3.82 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) % 22.49/3.82 | ~ (aNaturalNumber0(v2) = v0)) % 22.49/3.82 % 22.49/3.82 Further assumptions not needed in the proof: % 22.49/3.82 -------------------------------------------- % 22.49/3.82 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr2, mElmSc, mEqInit, mIH, % 22.49/3.82 mIHOrd, mLEMonM, mLERef, mLETot, mLETrn, mLess, mMDNeg, mMNeg, mNatExtr, % 22.49/3.82 mNatSort, mNegSc, mSZeroSc, mScPr, mScSort, mScSqPos, mScZero, mSuccEqu, % 22.49/3.82 mSuccNat, mVcSort, mZeroNat, m__1652, m__1678, m__1678_01, m__1692, m__1709, % 22.49/3.82 m__1726, m__1746, m__1766, m__1783, m__1800, m__1820, m__1837, m__1854, m__1873, % 22.49/3.82 m__1949, m__1967 % 22.49/3.82 % 22.49/3.82 Those formulas are unsatisfiable: % 22.49/3.82 --------------------------------- % 22.49/3.82 % 22.49/3.82 Begin of proof % 22.49/3.82 | % 22.49/3.82 | ALPHA: (mPosMon) implies: % 22.49/3.82 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ % 22.49/3.82 | (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : % 22.49/3.82 | ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: % 22.49/3.82 | any] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & % 22.49/3.82 | sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & % 22.49/3.82 | aScalar0(v0) = v2 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | % 22.49/3.82 | (v7 = 0 & v5 = 0)))) % 22.49/3.82 | % 22.49/3.82 | ALPHA: (mSqPos) implies: % 22.49/3.82 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ $i(v0) | % 22.49/3.82 | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 & % 22.49/3.82 | aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 22.49/3.82 | % 22.49/3.82 | ALPHA: (mSqrt) implies: % 22.49/3.82 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) % 22.49/3.82 | | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: % 22.49/3.82 | any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : (sdtasdt0(v1, v1) % 22.49/3.82 | = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = % 22.49/3.82 | v2 & $i(v5) & $i(v4) & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__1892) implies: % 22.49/3.82 | (4) aScalar0(xR) = 0 % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__1911) implies: % 22.49/3.82 | (5) aScalar0(xP) = 0 % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__1930) implies: % 22.49/3.82 | (6) aScalar0(xS) = 0 % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__2004) implies: % 22.49/3.82 | (7) ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) = v0 & $i(v0)) % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__2104) implies: % 22.49/3.82 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 22.49/3.82 | (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) = v0 % 22.49/3.82 | & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0, v0) = % 22.49/3.82 | v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__2405) implies: % 22.49/3.82 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtlseqdt0(v1, % 22.49/3.82 | v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 & % 22.49/3.82 | sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & % 22.49/3.82 | $i(v1) & $i(v0)) % 22.49/3.82 | % 22.49/3.82 | ALPHA: (m__2590) implies: % 22.49/3.83 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 22.49/3.83 | sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = % 22.49/3.83 | v1 & $i(v1) & $i(v0)) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (m__2610) implies: % 22.49/3.83 | (11) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtpldt0(xP, xP) % 22.49/3.83 | = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (m__2628) implies: % 22.49/3.83 | (12) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(sz0z00, v1) = 0 & % 22.49/3.83 | sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, % 22.49/3.83 | xS) = v0 & $i(v1) & $i(v0)) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (m__2654) implies: % 22.49/3.83 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.49/3.83 | (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = % 22.49/3.83 | v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) % 22.49/3.83 | & $i(v1) & $i(v0)) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (m__) implies: % 22.49/3.83 | (14) $i(xR) % 22.49/3.83 | (15) $i(xP) % 22.49/3.83 | (16) $i(xS) % 22.49/3.83 | (17) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & sdtpldt0(xP, xP) = v1 & % 22.49/3.83 | sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (function-axioms) implies: % 22.49/3.83 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 22.49/3.83 | : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) % 22.49/3.83 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.49/3.83 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 22.49/3.83 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.49/3.83 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 22.49/3.83 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 22.49/3.83 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ % 22.49/3.83 | (sdtlseqdt0(v3, v2) = v0)) % 22.49/3.83 | % 22.49/3.83 | DELTA: instantiating (7) with fresh symbol all_37_0 gives: % 22.49/3.83 | (22) sdtlseqdt0(all_37_0, xN) = 0 & sdtasdt0(xP, xP) = all_37_0 & % 22.49/3.83 | $i(all_37_0) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (22) implies: % 22.49/3.83 | (23) sdtasdt0(xP, xP) = all_37_0 % 22.49/3.83 | % 22.49/3.83 | DELTA: instantiating (11) with fresh symbols all_43_0, all_43_1 gives: % 22.49/3.83 | (24) sdtlseqdt0(all_43_1, all_43_0) = 0 & sdtpldt0(xP, xP) = all_43_0 & % 22.49/3.83 | sdtpldt0(xR, xS) = all_43_1 & $i(all_43_0) & $i(all_43_1) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (24) implies: % 22.49/3.83 | (25) sdtpldt0(xR, xS) = all_43_1 % 22.49/3.83 | (26) sdtpldt0(xP, xP) = all_43_0 % 22.49/3.83 | % 22.49/3.83 | DELTA: instantiating (17) with fresh symbols all_45_0, all_45_1 gives: % 22.49/3.83 | (27) ~ (all_45_0 = all_45_1) & sdtpldt0(xP, xP) = all_45_0 & sdtpldt0(xR, % 22.49/3.83 | xS) = all_45_1 & $i(all_45_0) & $i(all_45_1) % 22.49/3.83 | % 22.49/3.83 | ALPHA: (27) implies: % 22.49/3.83 | (28) ~ (all_45_0 = all_45_1) % 22.49/3.83 | (29) $i(all_45_1) % 22.49/3.83 | (30) $i(all_45_0) % 22.49/3.83 | (31) sdtpldt0(xR, xS) = all_45_1 % 22.49/3.83 | (32) sdtpldt0(xP, xP) = all_45_0 % 22.49/3.83 | % 22.49/3.83 | DELTA: instantiating (10) with fresh symbols all_49_0, all_49_1, all_49_2 % 22.49/3.83 | gives: % 22.49/3.84 | (33) ~ (all_49_0 = 0) & sdtlseqdt0(all_49_2, all_49_1) = all_49_0 & % 22.49/3.84 | sdtpldt0(xP, xP) = all_49_2 & sdtpldt0(xR, xS) = all_49_1 & % 22.49/3.84 | $i(all_49_1) & $i(all_49_2) % 22.49/3.84 | % 22.49/3.84 | ALPHA: (33) implies: % 22.49/3.84 | (34) ~ (all_49_0 = 0) % 22.49/3.84 | (35) sdtpldt0(xR, xS) = all_49_1 % 22.49/3.84 | (36) sdtpldt0(xP, xP) = all_49_2 % 22.49/3.84 | (37) sdtlseqdt0(all_49_2, all_49_1) = all_49_0 % 22.49/3.84 | % 22.49/3.84 | DELTA: instantiating (12) with fresh symbols all_51_0, all_51_1 gives: % 22.49/3.84 | (38) sdtlseqdt0(sz0z00, all_51_0) = 0 & sdtlseqdt0(sz0z00, all_51_1) = 0 & % 22.49/3.84 | sdtpldt0(xP, xP) = all_51_0 & sdtpldt0(xR, xS) = all_51_1 & % 22.49/3.84 | $i(all_51_0) & $i(all_51_1) % 22.49/3.84 | % 22.49/3.84 | ALPHA: (38) implies: % 22.49/3.84 | (39) sdtpldt0(xR, xS) = all_51_1 % 22.49/3.84 | (40) sdtpldt0(xP, xP) = all_51_0 % 22.49/3.84 | (41) sdtlseqdt0(sz0z00, all_51_1) = 0 % 22.49/3.84 | (42) sdtlseqdt0(sz0z00, all_51_0) = 0 % 22.49/3.84 | % 22.49/3.84 | DELTA: instantiating (9) with fresh symbols all_53_0, all_53_1, all_53_2, % 22.49/3.84 | all_53_3 gives: % 22.49/3.84 | (43) sdtlseqdt0(all_53_2, all_53_0) = 0 & sdtasdt0(all_53_1, all_53_1) = % 22.49/3.84 | all_53_0 & sdtasdt0(all_53_3, all_53_3) = all_53_2 & sdtpldt0(xP, xP) % 22.49/3.84 | = all_53_3 & sdtpldt0(xR, xS) = all_53_1 & $i(all_53_0) & $i(all_53_1) % 22.49/3.84 | & $i(all_53_2) & $i(all_53_3) % 22.49/3.84 | % 22.49/3.84 | ALPHA: (43) implies: % 22.49/3.84 | (44) sdtpldt0(xR, xS) = all_53_1 % 22.49/3.84 | (45) sdtpldt0(xP, xP) = all_53_3 % 22.49/3.84 | (46) sdtasdt0(all_53_3, all_53_3) = all_53_2 % 22.49/3.84 | (47) sdtasdt0(all_53_1, all_53_1) = all_53_0 % 22.49/3.84 | (48) sdtlseqdt0(all_53_2, all_53_0) = 0 % 22.49/3.84 | % 22.49/3.84 | DELTA: instantiating (13) with fresh symbols all_55_0, all_55_1, all_55_2, % 22.49/3.84 | all_55_3 gives: % 22.49/3.84 | (49) sdtlseqdt0(all_55_2, all_55_0) = 0 & sdtasdt0(all_55_1, all_55_1) = % 22.49/3.84 | all_55_0 & sdtasdt0(all_55_3, all_55_3) = all_55_2 & sdtpldt0(xP, xP) % 22.49/3.84 | = all_55_1 & sdtpldt0(xR, xS) = all_55_3 & $i(all_55_0) & $i(all_55_1) % 22.49/3.84 | & $i(all_55_2) & $i(all_55_3) % 22.49/3.84 | % 22.49/3.84 | ALPHA: (49) implies: % 22.49/3.84 | (50) $i(all_55_2) % 22.49/3.84 | (51) $i(all_55_0) % 22.49/3.84 | (52) sdtpldt0(xR, xS) = all_55_3 % 22.49/3.84 | (53) sdtpldt0(xP, xP) = all_55_1 % 22.49/3.84 | (54) sdtasdt0(all_55_3, all_55_3) = all_55_2 % 22.49/3.84 | (55) sdtasdt0(all_55_1, all_55_1) = all_55_0 % 22.49/3.84 | (56) sdtlseqdt0(all_55_2, all_55_0) = 0 % 22.49/3.84 | % 22.49/3.84 | DELTA: instantiating (8) with fresh symbols all_57_0, all_57_1, all_57_2, % 22.49/3.84 | all_57_3, all_57_4 gives: % 22.49/3.84 | (57) sdtlseqdt0(all_57_3, all_57_0) = 0 & sdtasdt0(xS, xS) = all_57_1 & % 22.49/3.84 | sdtasdt0(xP, xP) = all_57_4 & sdtasdt0(xR, xR) = all_57_2 & % 22.49/3.84 | sdtpldt0(all_57_2, all_57_1) = all_57_0 & sdtpldt0(all_57_4, all_57_4) % 22.49/3.84 | = all_57_3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_3) % 22.49/3.84 | & $i(all_57_4) % 22.49/3.84 | % 22.49/3.84 | ALPHA: (57) implies: % 22.49/3.84 | (58) sdtpldt0(all_57_4, all_57_4) = all_57_3 % 22.49/3.84 | (59) sdtasdt0(xR, xR) = all_57_2 % 22.49/3.84 | (60) sdtasdt0(xP, xP) = all_57_4 % 22.49/3.84 | (61) sdtasdt0(xS, xS) = all_57_1 % 22.49/3.84 | % 22.49/3.84 | GROUND_INST: instantiating (19) with all_45_1, all_49_1, xS, xR, simplifying % 22.49/3.84 | with (31), (35) gives: % 22.49/3.84 | (62) all_49_1 = all_45_1 % 22.49/3.84 | % 22.49/3.84 | GROUND_INST: instantiating (19) with all_49_1, all_51_1, xS, xR, simplifying % 22.49/3.84 | with (35), (39) gives: % 22.49/3.84 | (63) all_51_1 = all_49_1 % 22.49/3.85 | % 22.49/3.85 | GROUND_INST: instantiating (19) with all_51_1, all_53_1, xS, xR, simplifying % 22.49/3.85 | with (39), (44) gives: % 22.49/3.85 | (64) all_53_1 = all_51_1 % 22.49/3.85 | % 22.49/3.85 | GROUND_INST: instantiating (19) with all_53_1, all_55_3, xS, xR, simplifying % 22.49/3.85 | with (44), (52) gives: % 22.49/3.85 | (65) all_55_3 = all_53_1 % 22.49/3.85 | % 22.49/3.85 | GROUND_INST: instantiating (19) with all_43_1, all_55_3, xS, xR, simplifying % 22.49/3.85 | with (25), (52) gives: % 22.49/3.85 | (66) all_55_3 = all_43_1 % 22.49/3.85 | % 22.49/3.85 | GROUND_INST: instantiating (19) with all_49_2, all_51_0, xP, xP, simplifying % 22.49/3.85 | with (36), (40) gives: % 22.49/3.85 | (67) all_51_0 = all_49_2 % 22.49/3.85 | % 22.49/3.85 | GROUND_INST: instantiating (19) with all_49_2, all_53_3, xP, xP, simplifying % 22.49/3.85 | with (36), (45) gives: % 22.49/3.85 | (68) all_53_3 = all_49_2 % 22.49/3.85 | % 22.87/3.85 | GROUND_INST: instantiating (19) with all_43_0, all_53_3, xP, xP, simplifying % 22.87/3.85 | with (26), (45) gives: % 22.87/3.85 | (69) all_53_3 = all_43_0 % 22.87/3.85 | % 22.87/3.85 | GROUND_INST: instantiating (19) with all_51_0, all_55_1, xP, xP, simplifying % 22.87/3.85 | with (40), (53) gives: % 22.87/3.85 | (70) all_55_1 = all_51_0 % 22.87/3.85 | % 22.87/3.85 | GROUND_INST: instantiating (19) with all_45_0, all_55_1, xP, xP, simplifying % 22.87/3.85 | with (32), (53) gives: % 22.87/3.85 | (71) all_55_1 = all_45_0 % 22.87/3.85 | % 22.87/3.85 | GROUND_INST: instantiating (20) with all_37_0, all_57_4, xP, xP, simplifying % 22.87/3.85 | with (23), (60) gives: % 22.87/3.85 | (72) all_57_4 = all_37_0 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (70), (71) imply: % 22.87/3.85 | (73) all_51_0 = all_45_0 % 22.87/3.85 | % 22.87/3.85 | SIMP: (73) implies: % 22.87/3.85 | (74) all_51_0 = all_45_0 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (65), (66) imply: % 22.87/3.85 | (75) all_53_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | SIMP: (75) implies: % 22.87/3.85 | (76) all_53_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (64), (76) imply: % 22.87/3.85 | (77) all_51_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | SIMP: (77) implies: % 22.87/3.85 | (78) all_51_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (68), (69) imply: % 22.87/3.85 | (79) all_49_2 = all_43_0 % 22.87/3.85 | % 22.87/3.85 | SIMP: (79) implies: % 22.87/3.85 | (80) all_49_2 = all_43_0 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (67), (74) imply: % 22.87/3.85 | (81) all_49_2 = all_45_0 % 22.87/3.85 | % 22.87/3.85 | SIMP: (81) implies: % 22.87/3.85 | (82) all_49_2 = all_45_0 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (63), (78) imply: % 22.87/3.85 | (83) all_49_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | SIMP: (83) implies: % 22.87/3.85 | (84) all_49_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (62), (84) imply: % 22.87/3.85 | (85) all_45_1 = all_43_1 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (80), (82) imply: % 22.87/3.85 | (86) all_45_0 = all_43_0 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (74), (86) imply: % 22.87/3.85 | (87) all_51_0 = all_43_0 % 22.87/3.85 | % 22.87/3.85 | COMBINE_EQS: (71), (86) imply: % 22.87/3.85 | (88) all_55_1 = all_43_0 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (28), (85), (86) imply: % 22.87/3.85 | (89) ~ (all_43_0 = all_43_1) % 22.87/3.85 | % 22.87/3.85 | REDUCE: (37), (80), (84) imply: % 22.87/3.85 | (90) sdtlseqdt0(all_43_0, all_43_1) = all_49_0 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (42), (87) imply: % 22.87/3.85 | (91) sdtlseqdt0(sz0z00, all_43_0) = 0 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (41), (78) imply: % 22.87/3.85 | (92) sdtlseqdt0(sz0z00, all_43_1) = 0 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (55), (88) imply: % 22.87/3.85 | (93) sdtasdt0(all_43_0, all_43_0) = all_55_0 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (54), (66) imply: % 22.87/3.85 | (94) sdtasdt0(all_43_1, all_43_1) = all_55_2 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (47), (76) imply: % 22.87/3.85 | (95) sdtasdt0(all_43_1, all_43_1) = all_53_0 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (46), (69) imply: % 22.87/3.85 | (96) sdtasdt0(all_43_0, all_43_0) = all_53_2 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (58), (72) imply: % 22.87/3.85 | (97) sdtpldt0(all_37_0, all_37_0) = all_57_3 % 22.87/3.85 | % 22.87/3.85 | REDUCE: (30), (86) imply: % 22.87/3.85 | (98) $i(all_43_0) % 22.87/3.85 | % 22.87/3.85 | REDUCE: (29), (85) imply: % 22.87/3.85 | (99) $i(all_43_1) % 22.87/3.85 | % 22.87/3.85 | GROUND_INST: instantiating (20) with all_53_0, all_55_2, all_43_1, all_43_1, % 22.87/3.85 | simplifying with (94), (95) gives: % 22.87/3.85 | (100) all_55_2 = all_53_0 % 22.87/3.85 | % 22.87/3.85 | GROUND_INST: instantiating (20) with all_53_2, all_55_0, all_43_0, all_43_0, % 22.87/3.85 | simplifying with (93), (96) gives: % 22.87/3.86 | (101) all_55_0 = all_53_2 % 22.87/3.86 | % 22.87/3.86 | REDUCE: (56), (100), (101) imply: % 22.87/3.86 | (102) sdtlseqdt0(all_53_0, all_53_2) = 0 % 22.87/3.86 | % 22.87/3.86 | REDUCE: (51), (101) imply: % 22.87/3.86 | (103) $i(all_53_2) % 22.87/3.86 | % 22.87/3.86 | REDUCE: (50), (100) imply: % 22.87/3.86 | (104) $i(all_53_0) % 22.87/3.86 | % 22.87/3.86 | GROUND_INST: instantiating (mSumSc) with xR, xS, all_43_1, simplifying with % 22.87/3.86 | (14), (16), (25) gives: % 22.87/3.86 | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_43_1) = v2 % 22.87/3.86 | & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 22.87/3.86 | 0) | v2 = 0)) % 22.87/3.86 | % 22.87/3.86 | GROUND_INST: instantiating (mSumSc) with xP, xP, all_43_0, simplifying with % 22.87/3.86 | (15), (26) gives: % 22.87/3.86 | (106) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_43_0) = v2 % 22.87/3.86 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 22.87/3.87 | 0) | v2 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (2) with xR, all_57_2, simplifying with (14), (59) % 22.87/3.87 | gives: % 22.87/3.87 | (107) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_57_2) = v1 & % 22.87/3.87 | aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (mMulSc) with xR, xR, all_57_2, simplifying with % 22.87/3.87 | (14), (59) gives: % 22.87/3.87 | (108) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_57_2) = v2 % 22.87/3.87 | & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 22.87/3.87 | 0) | v2 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (mDistr) with xP, xP, xP, all_37_0, all_37_0, % 22.87/3.87 | all_57_3, simplifying with (15), (23), (97) gives: % 22.87/3.87 | (109) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: % 22.87/3.87 | $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 22.87/3.87 | (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) = % 22.87/3.87 | v7 & sdtpldt0(all_37_0, v7) = v8 & sdtpldt0(xP, xP) = v5 & % 22.87/3.87 | sdtpldt0(xP, xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 & % 22.87/3.87 | aScalar0(xP) = v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 22.87/3.87 | $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = % 22.87/3.87 | all_57_3))) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (mMulSc) with xP, xP, all_37_0, simplifying with % 22.87/3.87 | (15), (23) gives: % 22.87/3.87 | (110) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_37_0) = v2 % 22.87/3.87 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 22.87/3.87 | 0) | v2 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (2) with xS, all_57_1, simplifying with (16), (61) % 22.87/3.87 | gives: % 22.87/3.87 | (111) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_57_1) = v1 & % 22.87/3.87 | aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (mMulSc) with xS, xS, all_57_1, simplifying with % 22.87/3.87 | (16), (61) gives: % 22.87/3.87 | (112) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_57_1) = v2 % 22.87/3.87 | & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 22.87/3.87 | 0) | v2 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (2) with all_43_1, all_53_0, simplifying with (95), % 22.87/3.87 | (99) gives: % 22.87/3.87 | (113) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_53_0) = v1 & % 22.87/3.87 | aScalar0(all_43_1) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (mMulSc) with all_43_1, all_43_1, all_53_0, % 22.87/3.87 | simplifying with (95), (99) gives: % 22.87/3.87 | (114) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_53_0) = v2 % 22.87/3.87 | & aScalar0(all_43_1) = v1 & aScalar0(all_43_1) = v0 & ( ~ (v1 = 0) % 22.87/3.87 | | ~ (v0 = 0) | v2 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (2) with all_43_0, all_53_2, simplifying with (96), % 22.87/3.87 | (98) gives: % 22.87/3.87 | (115) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_53_2) = v1 & % 22.87/3.87 | aScalar0(all_43_0) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 22.87/3.87 | % 22.87/3.87 | GROUND_INST: instantiating (mMulSc) with all_43_0, all_43_0, all_53_2, % 23.00/3.87 | simplifying with (96), (98) gives: % 23.00/3.87 | (116) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_53_2) = v2 % 23.00/3.87 | & aScalar0(all_43_0) = v1 & aScalar0(all_43_0) = v0 & ( ~ (v1 = 0) % 23.00/3.87 | | ~ (v0 = 0) | v2 = 0)) % 23.00/3.87 | % 23.00/3.87 | GROUND_INST: instantiating (1) with all_43_1, all_43_1, simplifying with (92), % 23.00/3.87 | (99) gives: % 23.00/3.87 | (117) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4: % 23.00/3.87 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 & % 23.00/3.87 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_1) = v4 & % 23.00/3.87 | sdtpldt0(all_43_1, all_43_1) = v2 & aScalar0(all_43_1) = v1 & % 23.00/3.87 | aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = % 23.00/3.87 | 0) | (v5 = 0 & v3 = 0))) % 23.00/3.87 | % 23.00/3.87 | GROUND_INST: instantiating (1) with all_43_0, all_43_0, simplifying with (91), % 23.00/3.87 | (98) gives: % 23.00/3.88 | (118) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4: % 23.00/3.88 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 & % 23.00/3.88 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_0) = v4 & % 23.00/3.88 | sdtpldt0(all_43_0, all_43_0) = v2 & aScalar0(all_43_0) = v1 & % 23.00/3.88 | aScalar0(all_43_0) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = % 23.00/3.88 | 0) | (v5 = 0 & v3 = 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (3) with all_43_1, all_43_0, simplifying with (91), % 23.00/3.88 | (92), (98), (99) gives: % 23.00/3.88 | (119) all_43_0 = all_43_1 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 23.00/3.88 | [v3: $i] : (sdtasdt0(all_43_0, all_43_0) = v3 & sdtasdt0(all_43_1, % 23.00/3.88 | all_43_1) = v2 & aScalar0(all_43_0) = v1 & aScalar0(all_43_1) = % 23.00/3.88 | v0 & $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (3) with all_43_0, all_43_1, simplifying with (91), % 23.00/3.88 | (92), (98), (99) gives: % 23.00/3.88 | (120) all_43_0 = all_43_1 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 23.00/3.88 | [v3: $i] : (sdtasdt0(all_43_0, all_43_0) = v2 & sdtasdt0(all_43_1, % 23.00/3.88 | all_43_1) = v3 & aScalar0(all_43_0) = v0 & aScalar0(all_43_1) = % 23.00/3.88 | v1 & $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (1) with all_43_1, all_43_0, simplifying with (91), % 23.00/3.88 | (92), (98), (99) gives: % 23.00/3.88 | (121) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4: % 23.00/3.88 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 & % 23.00/3.88 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_0) = v4 & % 23.00/3.88 | sdtpldt0(all_43_1, all_43_0) = v2 & aScalar0(all_43_0) = v1 & % 23.00/3.88 | aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = % 23.00/3.88 | 0) | (v5 = 0 & v3 = 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (1) with all_43_0, all_43_1, simplifying with (91), % 23.00/3.88 | (92), (98), (99) gives: % 23.00/3.88 | (122) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4: % 23.00/3.88 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 & % 23.00/3.88 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_1) = v4 & % 23.00/3.88 | sdtpldt0(all_43_0, all_43_1) = v2 & aScalar0(all_43_0) = v0 & % 23.00/3.88 | aScalar0(all_43_1) = v1 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = % 23.00/3.88 | 0) | (v5 = 0 & v3 = 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (mLEMon) with xP, xR, xP, xS, all_43_0, all_43_1, % 23.00/3.88 | all_49_0, simplifying with (14), (15), (16), (25), (26), (90) % 23.00/3.88 | gives: % 23.00/3.88 | (123) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 23.00/3.88 | any] : ? [v4: any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 & % 23.00/3.88 | sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & % 23.00/3.88 | aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) % 23.00/3.88 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (mLEASm) with all_53_2, all_53_0, simplifying with % 23.00/3.88 | (48), (103), (104) gives: % 23.00/3.88 | (124) all_53_0 = all_53_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 23.00/3.88 | (sdtlseqdt0(all_53_0, all_53_2) = v2 & aScalar0(all_53_0) = v1 & % 23.00/3.88 | aScalar0(all_53_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 23.00/3.88 | 0))) % 23.00/3.88 | % 23.00/3.88 | GROUND_INST: instantiating (mLEASm) with all_53_0, all_53_2, simplifying with % 23.00/3.88 | (102), (103), (104) gives: % 23.00/3.88 | (125) all_53_0 = all_53_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 23.00/3.88 | (sdtlseqdt0(all_53_2, all_53_0) = v2 & aScalar0(all_53_0) = v0 & % 23.00/3.88 | aScalar0(all_53_2) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 23.00/3.88 | 0))) % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (107) with fresh symbols all_94_0, all_94_1 gives: % 23.00/3.88 | (126) sdtlseqdt0(sz0z00, all_57_2) = all_94_0 & aScalar0(xR) = all_94_1 & ( % 23.00/3.88 | ~ (all_94_1 = 0) | all_94_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (126) implies: % 23.00/3.88 | (127) aScalar0(xR) = all_94_1 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (115) with fresh symbols all_100_0, all_100_1 gives: % 23.00/3.88 | (128) sdtlseqdt0(sz0z00, all_53_2) = all_100_0 & aScalar0(all_43_0) = % 23.00/3.88 | all_100_1 & ( ~ (all_100_1 = 0) | all_100_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (128) implies: % 23.00/3.88 | (129) aScalar0(all_43_0) = all_100_1 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (113) with fresh symbols all_102_0, all_102_1 gives: % 23.00/3.88 | (130) sdtlseqdt0(sz0z00, all_53_0) = all_102_0 & aScalar0(all_43_1) = % 23.00/3.88 | all_102_1 & ( ~ (all_102_1 = 0) | all_102_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (130) implies: % 23.00/3.88 | (131) aScalar0(all_43_1) = all_102_1 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (111) with fresh symbols all_106_0, all_106_1 gives: % 23.00/3.88 | (132) sdtlseqdt0(sz0z00, all_57_1) = all_106_0 & aScalar0(xS) = all_106_1 & % 23.00/3.88 | ( ~ (all_106_1 = 0) | all_106_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (132) implies: % 23.00/3.88 | (133) aScalar0(xS) = all_106_1 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (106) with fresh symbols all_126_0, all_126_1, all_126_2 % 23.00/3.88 | gives: % 23.00/3.88 | (134) aScalar0(all_43_0) = all_126_0 & aScalar0(xP) = all_126_1 & % 23.00/3.88 | aScalar0(xP) = all_126_2 & ( ~ (all_126_1 = 0) | ~ (all_126_2 = 0) | % 23.00/3.88 | all_126_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (134) implies: % 23.00/3.88 | (135) aScalar0(xP) = all_126_2 % 23.00/3.88 | (136) aScalar0(xP) = all_126_1 % 23.00/3.88 | (137) aScalar0(all_43_0) = all_126_0 % 23.00/3.88 | (138) ~ (all_126_1 = 0) | ~ (all_126_2 = 0) | all_126_0 = 0 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (112) with fresh symbols all_128_0, all_128_1, all_128_2 % 23.00/3.88 | gives: % 23.00/3.88 | (139) aScalar0(all_57_1) = all_128_0 & aScalar0(xS) = all_128_1 & % 23.00/3.88 | aScalar0(xS) = all_128_2 & ( ~ (all_128_1 = 0) | ~ (all_128_2 = 0) | % 23.00/3.88 | all_128_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (139) implies: % 23.00/3.88 | (140) aScalar0(xS) = all_128_2 % 23.00/3.88 | (141) aScalar0(xS) = all_128_1 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (116) with fresh symbols all_130_0, all_130_1, all_130_2 % 23.00/3.88 | gives: % 23.00/3.88 | (142) aScalar0(all_53_2) = all_130_0 & aScalar0(all_43_0) = all_130_1 & % 23.00/3.88 | aScalar0(all_43_0) = all_130_2 & ( ~ (all_130_1 = 0) | ~ (all_130_2 % 23.00/3.88 | = 0) | all_130_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (142) implies: % 23.00/3.88 | (143) aScalar0(all_43_0) = all_130_2 % 23.00/3.88 | (144) aScalar0(all_43_0) = all_130_1 % 23.00/3.88 | (145) aScalar0(all_53_2) = all_130_0 % 23.00/3.88 | (146) ~ (all_130_1 = 0) | ~ (all_130_2 = 0) | all_130_0 = 0 % 23.00/3.88 | % 23.00/3.88 | DELTA: instantiating (105) with fresh symbols all_132_0, all_132_1, all_132_2 % 23.00/3.88 | gives: % 23.00/3.88 | (147) aScalar0(all_43_1) = all_132_0 & aScalar0(xS) = all_132_1 & % 23.00/3.88 | aScalar0(xR) = all_132_2 & ( ~ (all_132_1 = 0) | ~ (all_132_2 = 0) | % 23.00/3.88 | all_132_0 = 0) % 23.00/3.88 | % 23.00/3.88 | ALPHA: (147) implies: % 23.00/3.89 | (148) aScalar0(xR) = all_132_2 % 23.00/3.89 | (149) aScalar0(xS) = all_132_1 % 23.00/3.89 | (150) aScalar0(all_43_1) = all_132_0 % 23.00/3.89 | (151) ~ (all_132_1 = 0) | ~ (all_132_2 = 0) | all_132_0 = 0 % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (108) with fresh symbols all_134_0, all_134_1, all_134_2 % 23.00/3.89 | gives: % 23.00/3.89 | (152) aScalar0(all_57_2) = all_134_0 & aScalar0(xR) = all_134_1 & % 23.00/3.89 | aScalar0(xR) = all_134_2 & ( ~ (all_134_1 = 0) | ~ (all_134_2 = 0) | % 23.00/3.89 | all_134_0 = 0) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (152) implies: % 23.00/3.89 | (153) aScalar0(xR) = all_134_2 % 23.00/3.89 | (154) aScalar0(xR) = all_134_1 % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (114) with fresh symbols all_138_0, all_138_1, all_138_2 % 23.00/3.89 | gives: % 23.00/3.89 | (155) aScalar0(all_53_0) = all_138_0 & aScalar0(all_43_1) = all_138_1 & % 23.00/3.89 | aScalar0(all_43_1) = all_138_2 & ( ~ (all_138_1 = 0) | ~ (all_138_2 % 23.00/3.89 | = 0) | all_138_0 = 0) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (155) implies: % 23.00/3.89 | (156) aScalar0(all_43_1) = all_138_2 % 23.00/3.89 | (157) aScalar0(all_43_1) = all_138_1 % 23.00/3.89 | (158) aScalar0(all_53_0) = all_138_0 % 23.00/3.89 | (159) ~ (all_138_1 = 0) | ~ (all_138_2 = 0) | all_138_0 = 0 % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (110) with fresh symbols all_140_0, all_140_1, all_140_2 % 23.00/3.89 | gives: % 23.00/3.89 | (160) aScalar0(all_37_0) = all_140_0 & aScalar0(xP) = all_140_1 & % 23.00/3.89 | aScalar0(xP) = all_140_2 & ( ~ (all_140_1 = 0) | ~ (all_140_2 = 0) | % 23.00/3.89 | all_140_0 = 0) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (160) implies: % 23.00/3.89 | (161) aScalar0(xP) = all_140_2 % 23.00/3.89 | (162) aScalar0(xP) = all_140_1 % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (122) with fresh symbols all_146_0, all_146_1, all_146_2, % 23.00/3.89 | all_146_3, all_146_4, all_146_5 gives: % 23.00/3.89 | (163) sdtlseqdt0(sz0z00, all_146_1) = all_146_0 & sdtlseqdt0(sz0z00, % 23.00/3.89 | all_146_3) = all_146_2 & sdtasdt0(all_43_0, all_43_1) = all_146_1 & % 23.00/3.89 | sdtpldt0(all_43_0, all_43_1) = all_146_3 & aScalar0(all_43_0) = % 23.00/3.89 | all_146_5 & aScalar0(all_43_1) = all_146_4 & $i(all_146_1) & % 23.00/3.89 | $i(all_146_3) & ( ~ (all_146_4 = 0) | ~ (all_146_5 = 0) | (all_146_0 % 23.00/3.89 | = 0 & all_146_2 = 0)) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (163) implies: % 23.00/3.89 | (164) aScalar0(all_43_1) = all_146_4 % 23.00/3.89 | (165) aScalar0(all_43_0) = all_146_5 % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (121) with fresh symbols all_148_0, all_148_1, all_148_2, % 23.00/3.89 | all_148_3, all_148_4, all_148_5 gives: % 23.00/3.89 | (166) sdtlseqdt0(sz0z00, all_148_1) = all_148_0 & sdtlseqdt0(sz0z00, % 23.00/3.89 | all_148_3) = all_148_2 & sdtasdt0(all_43_1, all_43_0) = all_148_1 & % 23.00/3.89 | sdtpldt0(all_43_1, all_43_0) = all_148_3 & aScalar0(all_43_0) = % 23.00/3.89 | all_148_4 & aScalar0(all_43_1) = all_148_5 & $i(all_148_1) & % 23.00/3.89 | $i(all_148_3) & ( ~ (all_148_4 = 0) | ~ (all_148_5 = 0) | (all_148_0 % 23.00/3.89 | = 0 & all_148_2 = 0)) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (166) implies: % 23.00/3.89 | (167) aScalar0(all_43_1) = all_148_5 % 23.00/3.89 | (168) aScalar0(all_43_0) = all_148_4 % 23.00/3.89 | (169) ~ (all_148_4 = 0) | ~ (all_148_5 = 0) | (all_148_0 = 0 & all_148_2 % 23.00/3.89 | = 0) % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (118) with fresh symbols all_150_0, all_150_1, all_150_2, % 23.00/3.89 | all_150_3, all_150_4, all_150_5 gives: % 23.00/3.89 | (170) sdtlseqdt0(sz0z00, all_150_1) = all_150_0 & sdtlseqdt0(sz0z00, % 23.00/3.89 | all_150_3) = all_150_2 & sdtasdt0(all_43_0, all_43_0) = all_150_1 & % 23.00/3.89 | sdtpldt0(all_43_0, all_43_0) = all_150_3 & aScalar0(all_43_0) = % 23.00/3.89 | all_150_4 & aScalar0(all_43_0) = all_150_5 & $i(all_150_1) & % 23.00/3.89 | $i(all_150_3) & ( ~ (all_150_4 = 0) | ~ (all_150_5 = 0) | (all_150_0 % 23.00/3.89 | = 0 & all_150_2 = 0)) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (170) implies: % 23.00/3.89 | (171) aScalar0(all_43_0) = all_150_5 % 23.00/3.89 | (172) aScalar0(all_43_0) = all_150_4 % 23.00/3.89 | (173) sdtasdt0(all_43_0, all_43_0) = all_150_1 % 23.00/3.89 | (174) ~ (all_150_4 = 0) | ~ (all_150_5 = 0) | (all_150_0 = 0 & all_150_2 % 23.00/3.89 | = 0) % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (117) with fresh symbols all_152_0, all_152_1, all_152_2, % 23.00/3.89 | all_152_3, all_152_4, all_152_5 gives: % 23.00/3.89 | (175) sdtlseqdt0(sz0z00, all_152_1) = all_152_0 & sdtlseqdt0(sz0z00, % 23.00/3.89 | all_152_3) = all_152_2 & sdtasdt0(all_43_1, all_43_1) = all_152_1 & % 23.00/3.89 | sdtpldt0(all_43_1, all_43_1) = all_152_3 & aScalar0(all_43_1) = % 23.00/3.89 | all_152_4 & aScalar0(all_43_1) = all_152_5 & $i(all_152_1) & % 23.00/3.89 | $i(all_152_3) & ( ~ (all_152_4 = 0) | ~ (all_152_5 = 0) | (all_152_0 % 23.00/3.89 | = 0 & all_152_2 = 0)) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (175) implies: % 23.00/3.89 | (176) aScalar0(all_43_1) = all_152_5 % 23.00/3.89 | (177) aScalar0(all_43_1) = all_152_4 % 23.00/3.89 | (178) sdtasdt0(all_43_1, all_43_1) = all_152_1 % 23.00/3.89 | % 23.00/3.89 | DELTA: instantiating (109) with fresh symbols all_160_0, all_160_1, all_160_2, % 23.00/3.89 | all_160_3, all_160_4, all_160_5, all_160_6, all_160_7, all_160_8 gives: % 23.00/3.89 | (179) sdtasdt0(all_160_3, xP) = all_160_2 & sdtasdt0(xP, all_160_5) = % 23.00/3.89 | all_160_4 & sdtasdt0(xP, xP) = all_160_1 & sdtpldt0(all_37_0, % 23.00/3.89 | all_160_1) = all_160_0 & sdtpldt0(xP, xP) = all_160_3 & % 23.00/3.89 | sdtpldt0(xP, xP) = all_160_5 & aScalar0(xP) = all_160_6 & % 23.00/3.89 | aScalar0(xP) = all_160_7 & aScalar0(xP) = all_160_8 & $i(all_160_0) & % 23.00/3.89 | $i(all_160_1) & $i(all_160_2) & $i(all_160_3) & $i(all_160_4) & % 23.00/3.89 | $i(all_160_5) & ( ~ (all_160_6 = 0) | ~ (all_160_7 = 0) | ~ % 23.00/3.89 | (all_160_8 = 0) | (all_160_0 = all_160_2 & all_160_4 = all_57_3)) % 23.00/3.89 | % 23.00/3.89 | ALPHA: (179) implies: % 23.00/3.89 | (180) aScalar0(xP) = all_160_8 % 23.00/3.89 | (181) aScalar0(xP) = all_160_7 % 23.00/3.89 | (182) aScalar0(xP) = all_160_6 % 23.00/3.89 | % 23.00/3.89 | BETA: splitting (123) gives: % 23.00/3.89 | % 23.00/3.89 | Case 1: % 23.00/3.89 | | % 23.00/3.89 | | (183) all_49_0 = 0 % 23.00/3.89 | | % 23.00/3.89 | | REDUCE: (34), (183) imply: % 23.00/3.89 | | (184) $false % 23.00/3.89 | | % 23.00/3.89 | | CLOSE: (184) is inconsistent. % 23.00/3.89 | | % 23.00/3.89 | Case 2: % 23.00/3.89 | | % 23.00/3.89 | | (185) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 23.00/3.89 | | any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP, % 23.00/3.89 | | xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) % 23.00/3.89 | | = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 23.00/3.89 | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 23.00/3.90 | | % 23.00/3.90 | | DELTA: instantiating (185) with fresh symbols all_170_0, all_170_1, % 23.00/3.90 | | all_170_2, all_170_3, all_170_4, all_170_5 gives: % 23.00/3.90 | | (186) sdtlseqdt0(xP, xS) = all_170_0 & sdtlseqdt0(xP, xR) = all_170_1 & % 23.00/3.90 | | aScalar0(xS) = all_170_2 & aScalar0(xP) = all_170_3 & aScalar0(xP) % 23.00/3.90 | | = all_170_5 & aScalar0(xR) = all_170_4 & ( ~ (all_170_0 = 0) | ~ % 23.00/3.90 | | (all_170_1 = 0) | ~ (all_170_2 = 0) | ~ (all_170_3 = 0) | ~ % 23.00/3.90 | | (all_170_4 = 0) | ~ (all_170_5 = 0)) % 23.00/3.90 | | % 23.00/3.90 | | ALPHA: (186) implies: % 23.00/3.90 | | (187) aScalar0(xR) = all_170_4 % 23.00/3.90 | | (188) aScalar0(xP) = all_170_5 % 23.00/3.90 | | (189) aScalar0(xP) = all_170_3 % 23.00/3.90 | | (190) aScalar0(xS) = all_170_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with 0, all_134_2, xR, simplifying with (4), % 23.00/3.90 | | (153) gives: % 23.00/3.90 | | (191) all_134_2 = 0 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_132_2, all_134_2, xR, simplifying % 23.00/3.90 | | with (148), (153) gives: % 23.00/3.90 | | (192) all_134_2 = all_132_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_134_1, all_170_4, xR, simplifying % 23.00/3.90 | | with (154), (187) gives: % 23.00/3.90 | | (193) all_170_4 = all_134_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_134_2, all_170_4, xR, simplifying % 23.00/3.90 | | with (153), (187) gives: % 23.00/3.90 | | (194) all_170_4 = all_134_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_94_1, all_170_4, xR, simplifying % 23.00/3.90 | | with (127), (187) gives: % 23.00/3.90 | | (195) all_170_4 = all_94_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_126_1, all_140_2, xP, simplifying % 23.00/3.90 | | with (136), (161) gives: % 23.00/3.90 | | (196) all_140_2 = all_126_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_160_8, all_160_6, xP, simplifying % 23.00/3.90 | | with (180), (182) gives: % 23.00/3.90 | | (197) all_160_6 = all_160_8 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_140_2, all_160_6, xP, simplifying % 23.00/3.90 | | with (161), (182) gives: % 23.00/3.90 | | (198) all_160_6 = all_140_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_126_2, all_160_6, xP, simplifying % 23.00/3.90 | | with (135), (182) gives: % 23.00/3.90 | | (199) all_160_6 = all_126_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_140_1, all_170_5, xP, simplifying % 23.00/3.90 | | with (162), (188) gives: % 23.00/3.90 | | (200) all_170_5 = all_140_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with 0, all_170_3, xP, simplifying with (5), % 23.00/3.90 | | (189) gives: % 23.00/3.90 | | (201) all_170_3 = 0 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_170_5, all_170_3, xP, simplifying % 23.00/3.90 | | with (188), (189) gives: % 23.00/3.90 | | (202) all_170_3 = all_170_5 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_160_7, all_170_3, xP, simplifying % 23.00/3.90 | | with (181), (189) gives: % 23.00/3.90 | | (203) all_170_3 = all_160_7 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_126_1, all_170_3, xP, simplifying % 23.00/3.90 | | with (136), (189) gives: % 23.00/3.90 | | (204) all_170_3 = all_126_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_128_1, all_132_1, xS, simplifying % 23.00/3.90 | | with (141), (149) gives: % 23.00/3.90 | | (205) all_132_1 = all_128_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_106_1, all_132_1, xS, simplifying % 23.00/3.90 | | with (133), (149) gives: % 23.00/3.90 | | (206) all_132_1 = all_106_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with 0, all_170_2, xS, simplifying with (6), % 23.00/3.90 | | (190) gives: % 23.00/3.90 | | (207) all_170_2 = 0 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_128_1, all_170_2, xS, simplifying % 23.00/3.90 | | with (141), (190) gives: % 23.00/3.90 | | (208) all_170_2 = all_128_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_128_2, all_170_2, xS, simplifying % 23.00/3.90 | | with (140), (190) gives: % 23.00/3.90 | | (209) all_170_2 = all_128_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_138_1, all_146_4, all_43_1, % 23.00/3.90 | | simplifying with (157), (164) gives: % 23.00/3.90 | | (210) all_146_4 = all_138_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_138_2, all_146_4, all_43_1, % 23.00/3.90 | | simplifying with (156), (164) gives: % 23.00/3.90 | | (211) all_146_4 = all_138_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_146_4, all_148_5, all_43_1, % 23.00/3.90 | | simplifying with (164), (167) gives: % 23.00/3.90 | | (212) all_148_5 = all_146_4 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_138_2, all_152_5, all_43_1, % 23.00/3.90 | | simplifying with (156), (176) gives: % 23.00/3.90 | | (213) all_152_5 = all_138_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_132_0, all_152_5, all_43_1, % 23.00/3.90 | | simplifying with (150), (176) gives: % 23.00/3.90 | | (214) all_152_5 = all_132_0 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_148_5, all_152_4, all_43_1, % 23.00/3.90 | | simplifying with (167), (177) gives: % 23.00/3.90 | | (215) all_152_4 = all_148_5 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_102_1, all_152_4, all_43_1, % 23.00/3.90 | | simplifying with (131), (177) gives: % 23.00/3.90 | | (216) all_152_4 = all_102_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_126_0, all_130_1, all_43_0, % 23.00/3.90 | | simplifying with (137), (144) gives: % 23.00/3.90 | | (217) all_130_1 = all_126_0 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_130_1, all_146_5, all_43_0, % 23.00/3.90 | | simplifying with (144), (165) gives: % 23.00/3.90 | | (218) all_146_5 = all_130_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_130_1, all_148_4, all_43_0, % 23.00/3.90 | | simplifying with (144), (168) gives: % 23.00/3.90 | | (219) all_148_4 = all_130_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_148_4, all_150_5, all_43_0, % 23.00/3.90 | | simplifying with (168), (171) gives: % 23.00/3.90 | | (220) all_150_5 = all_148_4 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_130_2, all_150_5, all_43_0, % 23.00/3.90 | | simplifying with (143), (171) gives: % 23.00/3.90 | | (221) all_150_5 = all_130_2 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_146_5, all_150_4, all_43_0, % 23.00/3.90 | | simplifying with (165), (172) gives: % 23.00/3.90 | | (222) all_150_4 = all_146_5 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (18) with all_100_1, all_150_4, all_43_0, % 23.00/3.90 | | simplifying with (129), (172) gives: % 23.00/3.90 | | (223) all_150_4 = all_100_1 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (20) with all_53_0, all_152_1, all_43_1, % 23.00/3.90 | | all_43_1, simplifying with (95), (178) gives: % 23.00/3.90 | | (224) all_152_1 = all_53_0 % 23.00/3.90 | | % 23.00/3.90 | | GROUND_INST: instantiating (20) with all_53_2, all_150_1, all_43_0, % 23.00/3.90 | | all_43_0, simplifying with (96), (173) gives: % 23.00/3.90 | | (225) all_150_1 = all_53_2 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (208), (209) imply: % 23.00/3.90 | | (226) all_128_1 = all_128_2 % 23.00/3.90 | | % 23.00/3.90 | | SIMP: (226) implies: % 23.00/3.90 | | (227) all_128_1 = all_128_2 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (207), (209) imply: % 23.00/3.90 | | (228) all_128_2 = 0 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (202), (203) imply: % 23.00/3.90 | | (229) all_170_5 = all_160_7 % 23.00/3.90 | | % 23.00/3.90 | | SIMP: (229) implies: % 23.00/3.90 | | (230) all_170_5 = all_160_7 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (203), (204) imply: % 23.00/3.90 | | (231) all_160_7 = all_126_1 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (201), (203) imply: % 23.00/3.90 | | (232) all_160_7 = 0 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (193), (194) imply: % 23.00/3.90 | | (233) all_134_1 = all_134_2 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (193), (195) imply: % 23.00/3.90 | | (234) all_134_1 = all_94_1 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (200), (230) imply: % 23.00/3.90 | | (235) all_160_7 = all_140_1 % 23.00/3.90 | | % 23.00/3.90 | | SIMP: (235) implies: % 23.00/3.90 | | (236) all_160_7 = all_140_1 % 23.00/3.90 | | % 23.00/3.90 | | COMBINE_EQS: (197), (199) imply: % 23.00/3.90 | | (237) all_160_8 = all_126_2 % 23.00/3.90 | | % 23.00/3.91 | | COMBINE_EQS: (197), (198) imply: % 23.00/3.91 | | (238) all_160_8 = all_140_2 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (232), (236) imply: % 23.00/3.91 | | (239) all_140_1 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (231), (236) imply: % 23.00/3.91 | | (240) all_140_1 = all_126_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (237), (238) imply: % 23.00/3.91 | | (241) all_140_2 = all_126_2 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (241) implies: % 23.00/3.91 | | (242) all_140_2 = all_126_2 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (215), (216) imply: % 23.00/3.91 | | (243) all_148_5 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (243) implies: % 23.00/3.91 | | (244) all_148_5 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (213), (214) imply: % 23.00/3.91 | | (245) all_138_2 = all_132_0 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (245) implies: % 23.00/3.91 | | (246) all_138_2 = all_132_0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (222), (223) imply: % 23.00/3.91 | | (247) all_146_5 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (247) implies: % 23.00/3.91 | | (248) all_146_5 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (220), (221) imply: % 23.00/3.91 | | (249) all_148_4 = all_130_2 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (249) implies: % 23.00/3.91 | | (250) all_148_4 = all_130_2 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (219), (250) imply: % 23.00/3.91 | | (251) all_130_1 = all_130_2 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (251) implies: % 23.00/3.91 | | (252) all_130_1 = all_130_2 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (212), (244) imply: % 23.00/3.91 | | (253) all_146_4 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (253) implies: % 23.00/3.91 | | (254) all_146_4 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (210), (254) imply: % 23.00/3.91 | | (255) all_138_1 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (210), (211) imply: % 23.00/3.91 | | (256) all_138_1 = all_138_2 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (218), (248) imply: % 23.00/3.91 | | (257) all_130_1 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (257) implies: % 23.00/3.91 | | (258) all_130_1 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (239), (240) imply: % 23.00/3.91 | | (259) all_126_1 = 0 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (259) implies: % 23.00/3.91 | | (260) all_126_1 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (196), (242) imply: % 23.00/3.91 | | (261) all_126_1 = all_126_2 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (261) implies: % 23.00/3.91 | | (262) all_126_1 = all_126_2 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (255), (256) imply: % 23.00/3.91 | | (263) all_138_2 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (263) implies: % 23.00/3.91 | | (264) all_138_2 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (246), (264) imply: % 23.00/3.91 | | (265) all_132_0 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (265) implies: % 23.00/3.91 | | (266) all_132_0 = all_102_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (233), (234) imply: % 23.00/3.91 | | (267) all_134_2 = all_94_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (267) implies: % 23.00/3.91 | | (268) all_134_2 = all_94_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (191), (192) imply: % 23.00/3.91 | | (269) all_132_2 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (192), (268) imply: % 23.00/3.91 | | (270) all_132_2 = all_94_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (205), (206) imply: % 23.00/3.91 | | (271) all_128_1 = all_106_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (271) implies: % 23.00/3.91 | | (272) all_128_1 = all_106_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (269), (270) imply: % 23.00/3.91 | | (273) all_94_1 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (217), (252) imply: % 23.00/3.91 | | (274) all_130_2 = all_126_0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (252), (258) imply: % 23.00/3.91 | | (275) all_130_2 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (274), (275) imply: % 23.00/3.91 | | (276) all_126_0 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (276) implies: % 23.00/3.91 | | (277) all_126_0 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (227), (272) imply: % 23.00/3.91 | | (278) all_128_2 = all_106_1 % 23.00/3.91 | | % 23.00/3.91 | | SIMP: (278) implies: % 23.00/3.91 | | (279) all_128_2 = all_106_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (228), (279) imply: % 23.00/3.91 | | (280) all_106_1 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (260), (262) imply: % 23.00/3.91 | | (281) all_126_2 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (206), (280) imply: % 23.00/3.91 | | (282) all_132_1 = 0 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (250), (275) imply: % 23.00/3.91 | | (283) all_148_4 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | COMBINE_EQS: (221), (275) imply: % 23.00/3.91 | | (284) all_150_5 = all_100_1 % 23.00/3.91 | | % 23.00/3.91 | | BETA: splitting (151) gives: % 23.00/3.91 | | % 23.00/3.91 | | Case 1: % 23.00/3.91 | | | % 23.00/3.91 | | | (285) ~ (all_132_1 = 0) % 23.00/3.91 | | | % 23.00/3.91 | | | REDUCE: (282), (285) imply: % 23.00/3.91 | | | (286) $false % 23.00/3.91 | | | % 23.00/3.91 | | | CLOSE: (286) is inconsistent. % 23.00/3.91 | | | % 23.00/3.91 | | Case 2: % 23.00/3.91 | | | % 23.00/3.91 | | | (287) ~ (all_132_2 = 0) | all_132_0 = 0 % 23.00/3.91 | | | % 23.00/3.91 | | | BETA: splitting (287) gives: % 23.00/3.91 | | | % 23.00/3.91 | | | Case 1: % 23.00/3.91 | | | | % 23.00/3.91 | | | | (288) ~ (all_132_2 = 0) % 23.00/3.91 | | | | % 23.00/3.91 | | | | REDUCE: (269), (288) imply: % 23.00/3.91 | | | | (289) $false % 23.00/3.91 | | | | % 23.00/3.91 | | | | CLOSE: (289) is inconsistent. % 23.00/3.91 | | | | % 23.00/3.91 | | | Case 2: % 23.00/3.91 | | | | % 23.00/3.91 | | | | (290) all_132_0 = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | COMBINE_EQS: (266), (290) imply: % 23.00/3.91 | | | | (291) all_102_1 = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | SIMP: (291) implies: % 23.00/3.91 | | | | (292) all_102_1 = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | COMBINE_EQS: (264), (292) imply: % 23.00/3.91 | | | | (293) all_138_2 = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | COMBINE_EQS: (255), (292) imply: % 23.00/3.91 | | | | (294) all_138_1 = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | COMBINE_EQS: (244), (292) imply: % 23.00/3.91 | | | | (295) all_148_5 = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | REDUCE: (131), (292) imply: % 23.00/3.91 | | | | (296) aScalar0(all_43_1) = 0 % 23.00/3.91 | | | | % 23.00/3.91 | | | | BETA: splitting (138) gives: % 23.00/3.91 | | | | % 23.00/3.91 | | | | Case 1: % 23.00/3.91 | | | | | % 23.00/3.91 | | | | | (297) ~ (all_126_1 = 0) % 23.00/3.91 | | | | | % 23.00/3.91 | | | | | REDUCE: (260), (297) imply: % 23.00/3.91 | | | | | (298) $false % 23.00/3.91 | | | | | % 23.00/3.91 | | | | | CLOSE: (298) is inconsistent. % 23.00/3.91 | | | | | % 23.00/3.91 | | | | Case 2: % 23.00/3.91 | | | | | % 23.00/3.91 | | | | | (299) ~ (all_126_2 = 0) | all_126_0 = 0 % 23.00/3.91 | | | | | % 23.00/3.91 | | | | | BETA: splitting (159) gives: % 23.00/3.91 | | | | | % 23.00/3.91 | | | | | Case 1: % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | | (300) ~ (all_138_1 = 0) % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | | REDUCE: (294), (300) imply: % 23.00/3.91 | | | | | | (301) $false % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | | CLOSE: (301) is inconsistent. % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | Case 2: % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | | (302) ~ (all_138_2 = 0) | all_138_0 = 0 % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | | BETA: splitting (302) gives: % 23.00/3.91 | | | | | | % 23.00/3.91 | | | | | | Case 1: % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | (303) ~ (all_138_2 = 0) % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | REDUCE: (293), (303) imply: % 23.00/3.91 | | | | | | | (304) $false % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | CLOSE: (304) is inconsistent. % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | Case 2: % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | (305) all_138_0 = 0 % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | REDUCE: (158), (305) imply: % 23.00/3.91 | | | | | | | (306) aScalar0(all_53_0) = 0 % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | BETA: splitting (299) gives: % 23.00/3.91 | | | | | | | % 23.00/3.91 | | | | | | | Case 1: % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | (307) ~ (all_126_2 = 0) % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | REDUCE: (281), (307) imply: % 23.00/3.91 | | | | | | | | (308) $false % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | CLOSE: (308) is inconsistent. % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | Case 2: % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | (309) all_126_0 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | COMBINE_EQS: (277), (309) imply: % 23.00/3.91 | | | | | | | | (310) all_100_1 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | SIMP: (310) implies: % 23.00/3.91 | | | | | | | | (311) all_100_1 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | COMBINE_EQS: (275), (311) imply: % 23.00/3.91 | | | | | | | | (312) all_130_2 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | COMBINE_EQS: (258), (311) imply: % 23.00/3.91 | | | | | | | | (313) all_130_1 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | COMBINE_EQS: (283), (311) imply: % 23.00/3.91 | | | | | | | | (314) all_148_4 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | COMBINE_EQS: (284), (311) imply: % 23.00/3.91 | | | | | | | | (315) all_150_5 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | COMBINE_EQS: (223), (311) imply: % 23.00/3.91 | | | | | | | | (316) all_150_4 = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | REDUCE: (129), (311) imply: % 23.00/3.91 | | | | | | | | (317) aScalar0(all_43_0) = 0 % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | BETA: splitting (119) gives: % 23.00/3.91 | | | | | | | | % 23.00/3.91 | | | | | | | | Case 1: % 23.00/3.91 | | | | | | | | | % 23.00/3.91 | | | | | | | | | (318) all_43_0 = all_43_1 % 23.00/3.91 | | | | | | | | | % 23.00/3.91 | | | | | | | | | REDUCE: (89), (318) imply: % 23.00/3.91 | | | | | | | | | (319) $false % 23.00/3.91 | | | | | | | | | % 23.00/3.91 | | | | | | | | | CLOSE: (319) is inconsistent. % 23.00/3.91 | | | | | | | | | % 23.00/3.91 | | | | | | | | Case 2: % 23.00/3.91 | | | | | | | | | % 23.00/3.91 | | | | | | | | | (320) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 23.00/3.91 | | | | | | | | | $i] : (sdtasdt0(all_43_0, all_43_0) = v3 & % 23.00/3.91 | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = v2 & % 23.00/3.91 | | | | | | | | | aScalar0(all_43_0) = v1 & aScalar0(all_43_1) = v0 & % 23.00/3.91 | | | | | | | | | $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ % 23.00/3.91 | | | | | | | | | (v0 = 0))) % 23.00/3.91 | | | | | | | | | % 23.00/3.92 | | | | | | | | | DELTA: instantiating (320) with fresh symbols all_362_0, % 23.00/3.92 | | | | | | | | | all_362_1, all_362_2, all_362_3 gives: % 23.00/3.92 | | | | | | | | | (321) sdtasdt0(all_43_0, all_43_0) = all_362_0 & % 23.00/3.92 | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = all_362_1 & % 23.00/3.92 | | | | | | | | | aScalar0(all_43_0) = all_362_2 & aScalar0(all_43_1) = % 23.00/3.92 | | | | | | | | | all_362_3 & $i(all_362_0) & $i(all_362_1) & ( ~ % 23.00/3.92 | | | | | | | | | (all_362_0 = all_362_1) | ~ (all_362_2 = 0) | ~ % 23.00/3.92 | | | | | | | | | (all_362_3 = 0)) % 23.00/3.92 | | | | | | | | | % 23.00/3.92 | | | | | | | | | ALPHA: (321) implies: % 23.00/3.92 | | | | | | | | | (322) aScalar0(all_43_1) = all_362_3 % 23.00/3.92 | | | | | | | | | (323) aScalar0(all_43_0) = all_362_2 % 23.00/3.92 | | | | | | | | | (324) sdtasdt0(all_43_1, all_43_1) = all_362_1 % 23.00/3.92 | | | | | | | | | (325) sdtasdt0(all_43_0, all_43_0) = all_362_0 % 23.00/3.92 | | | | | | | | | (326) ~ (all_362_0 = all_362_1) | ~ (all_362_2 = 0) | ~ % 23.00/3.92 | | | | | | | | | (all_362_3 = 0) % 23.00/3.92 | | | | | | | | | % 23.00/3.92 | | | | | | | | | BETA: splitting (120) gives: % 23.00/3.92 | | | | | | | | | % 23.00/3.92 | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | (327) all_43_0 = all_43_1 % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | REDUCE: (89), (327) imply: % 23.00/3.92 | | | | | | | | | | (328) $false % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | CLOSE: (328) is inconsistent. % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | (329) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 23.00/3.92 | | | | | | | | | | $i] : (sdtasdt0(all_43_0, all_43_0) = v2 & % 23.00/3.92 | | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = v3 & % 23.00/3.92 | | | | | | | | | | aScalar0(all_43_0) = v0 & aScalar0(all_43_1) = v1 % 23.00/3.92 | | | | | | | | | | & $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | % 23.00/3.92 | | | | | | | | | | ~ (v0 = 0))) % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | DELTA: instantiating (329) with fresh symbols all_372_0, % 23.00/3.92 | | | | | | | | | | all_372_1, all_372_2, all_372_3 gives: % 23.00/3.92 | | | | | | | | | | (330) sdtasdt0(all_43_0, all_43_0) = all_372_1 & % 23.00/3.92 | | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = all_372_0 & % 23.00/3.92 | | | | | | | | | | aScalar0(all_43_0) = all_372_3 & aScalar0(all_43_1) % 23.00/3.92 | | | | | | | | | | = all_372_2 & $i(all_372_0) & $i(all_372_1) & ( ~ % 23.00/3.92 | | | | | | | | | | (all_372_0 = all_372_1) | ~ (all_372_2 = 0) | ~ % 23.00/3.92 | | | | | | | | | | (all_372_3 = 0)) % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | ALPHA: (330) implies: % 23.00/3.92 | | | | | | | | | | (331) aScalar0(all_43_1) = all_372_2 % 23.00/3.92 | | | | | | | | | | (332) aScalar0(all_43_0) = all_372_3 % 23.00/3.92 | | | | | | | | | | (333) sdtasdt0(all_43_1, all_43_1) = all_372_0 % 23.00/3.92 | | | | | | | | | | (334) sdtasdt0(all_43_0, all_43_0) = all_372_1 % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | BETA: splitting (146) gives: % 23.00/3.92 | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | (335) ~ (all_130_1 = 0) % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | REDUCE: (313), (335) imply: % 23.00/3.92 | | | | | | | | | | | (336) $false % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | CLOSE: (336) is inconsistent. % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | (337) ~ (all_130_2 = 0) | all_130_0 = 0 % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | BETA: splitting (337) gives: % 23.00/3.92 | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | (338) ~ (all_130_2 = 0) % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | REDUCE: (312), (338) imply: % 23.00/3.92 | | | | | | | | | | | | (339) $false % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | CLOSE: (339) is inconsistent. % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | (340) all_130_0 = 0 % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | REDUCE: (145), (340) imply: % 23.00/3.92 | | | | | | | | | | | | (341) aScalar0(all_53_2) = 0 % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | BETA: splitting (125) gives: % 23.00/3.92 | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | (342) all_53_0 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | REDUCE: (95), (342) imply: % 23.00/3.92 | | | | | | | | | | | | | (343) sdtasdt0(all_43_1, all_43_1) = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | BETA: splitting (169) gives: % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | (344) ~ (all_148_4 = 0) % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | REDUCE: (314), (344) imply: % 23.00/3.92 | | | | | | | | | | | | | | (345) $false % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | CLOSE: (345) is inconsistent. % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | (346) ~ (all_148_5 = 0) | (all_148_0 = 0 & all_148_2 = % 23.00/3.92 | | | | | | | | | | | | | | 0) % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | BETA: splitting (346) gives: % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | (347) ~ (all_148_5 = 0) % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | REDUCE: (295), (347) imply: % 23.00/3.92 | | | | | | | | | | | | | | | (348) $false % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | CLOSE: (348) is inconsistent. % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_362_3, all_372_2, % 23.00/3.92 | | | | | | | | | | | | | | | all_43_1, simplifying with (322), (331) gives: % 23.00/3.92 | | | | | | | | | | | | | | | (349) all_372_2 = all_362_3 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_372_2, all_43_1, % 23.00/3.92 | | | | | | | | | | | | | | | simplifying with (296), (331) gives: % 23.00/3.92 | | | | | | | | | | | | | | | (350) all_372_2 = 0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_362_2, all_372_3, % 23.00/3.92 | | | | | | | | | | | | | | | all_43_0, simplifying with (323), (332) gives: % 23.00/3.92 | | | | | | | | | | | | | | | (351) all_372_3 = all_362_2 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_372_3, all_43_0, % 23.00/3.92 | | | | | | | | | | | | | | | simplifying with (317), (332) gives: % 23.00/3.92 | | | | | | | | | | | | | | | (352) all_372_3 = 0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_362_1, all_372_0, % 23.00/3.92 | | | | | | | | | | | | | | | all_43_1, all_43_1, simplifying with (324), (333) % 23.00/3.92 | | | | | | | | | | | | | | | gives: % 23.00/3.92 | | | | | | | | | | | | | | | (353) all_372_0 = all_362_1 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_53_2, all_372_0, % 23.00/3.92 | | | | | | | | | | | | | | | all_43_1, all_43_1, simplifying with (333), (343) % 23.00/3.92 | | | | | | | | | | | | | | | gives: % 23.00/3.92 | | | | | | | | | | | | | | | (354) all_372_0 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_53_2, all_372_1, % 23.00/3.92 | | | | | | | | | | | | | | | all_43_0, all_43_0, simplifying with (96), (334) % 23.00/3.92 | | | | | | | | | | | | | | | gives: % 23.00/3.92 | | | | | | | | | | | | | | | (355) all_372_1 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_362_0, all_372_1, % 23.00/3.92 | | | | | | | | | | | | | | | all_43_0, all_43_0, simplifying with (325), (334) % 23.00/3.92 | | | | | | | | | | | | | | | gives: % 23.00/3.92 | | | | | | | | | | | | | | | (356) all_372_1 = all_362_0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (354) imply: % 23.00/3.92 | | | | | | | | | | | | | | | (357) all_362_1 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | SIMP: (357) implies: % 23.00/3.92 | | | | | | | | | | | | | | | (358) all_362_1 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | COMBINE_EQS: (355), (356) imply: % 23.00/3.92 | | | | | | | | | | | | | | | (359) all_362_0 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (350) imply: % 23.00/3.92 | | | | | | | | | | | | | | | (360) all_362_3 = 0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | SIMP: (360) implies: % 23.00/3.92 | | | | | | | | | | | | | | | (361) all_362_3 = 0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | COMBINE_EQS: (351), (352) imply: % 23.00/3.92 | | | | | | | | | | | | | | | (362) all_362_2 = 0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | SIMP: (362) implies: % 23.00/3.92 | | | | | | | | | | | | | | | (363) all_362_2 = 0 % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | BETA: splitting (326) gives: % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | (364) ~ (all_362_2 = 0) % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | REDUCE: (363), (364) imply: % 23.00/3.92 | | | | | | | | | | | | | | | | (365) $false % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | CLOSE: (365) is inconsistent. % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | (366) ~ (all_362_0 = all_362_1) | ~ (all_362_3 = 0) % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | BETA: splitting (366) gives: % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | | (367) ~ (all_362_3 = 0) % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | | REDUCE: (361), (367) imply: % 23.00/3.92 | | | | | | | | | | | | | | | | | (368) $false % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent. % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | | (369) ~ (all_362_0 = all_362_1) % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | | REDUCE: (358), (359), (369) imply: % 23.00/3.92 | | | | | | | | | | | | | | | | | (370) $false % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent. % 23.00/3.92 | | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | | End of split % 23.00/3.92 | | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | | End of split % 23.00/3.92 | | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | End of split % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | End of split % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | Case 2: % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | (371) ~ (all_53_0 = all_53_2) % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | BETA: splitting (124) gives: % 23.00/3.92 | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | Case 1: % 23.00/3.92 | | | | | | | | | | | | | | % 23.00/3.92 | | | | | | | | | | | | | | (372) all_53_0 = all_53_2 % 23.00/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | REDUCE: (371), (372) imply: % 23.24/3.92 | | | | | | | | | | | | | | (373) $false % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | CLOSE: (373) is inconsistent. % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | Case 2: % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | (374) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 23.24/3.92 | | | | | | | | | | | | | | (sdtlseqdt0(all_53_0, all_53_2) = v2 & % 23.24/3.92 | | | | | | | | | | | | | | aScalar0(all_53_0) = v1 & aScalar0(all_53_2) = % 23.24/3.92 | | | | | | | | | | | | | | v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | DELTA: instantiating (374) with fresh symbols all_400_0, % 23.24/3.92 | | | | | | | | | | | | | | all_400_1, all_400_2 gives: % 23.24/3.92 | | | | | | | | | | | | | | (375) sdtlseqdt0(all_53_0, all_53_2) = all_400_0 & % 23.24/3.92 | | | | | | | | | | | | | | aScalar0(all_53_0) = all_400_1 & % 23.24/3.92 | | | | | | | | | | | | | | aScalar0(all_53_2) = all_400_2 & ( ~ (all_400_0 = % 23.24/3.92 | | | | | | | | | | | | | | 0) | ~ (all_400_1 = 0) | ~ (all_400_2 = 0)) % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | ALPHA: (375) implies: % 23.24/3.92 | | | | | | | | | | | | | | (376) aScalar0(all_53_2) = all_400_2 % 23.24/3.92 | | | | | | | | | | | | | | (377) aScalar0(all_53_0) = all_400_1 % 23.24/3.92 | | | | | | | | | | | | | | (378) sdtlseqdt0(all_53_0, all_53_2) = all_400_0 % 23.24/3.92 | | | | | | | | | | | | | | (379) ~ (all_400_0 = 0) | ~ (all_400_1 = 0) | ~ % 23.24/3.92 | | | | | | | | | | | | | | (all_400_2 = 0) % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | BETA: splitting (174) gives: % 23.24/3.92 | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | Case 1: % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | (380) ~ (all_150_4 = 0) % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | REDUCE: (316), (380) imply: % 23.24/3.92 | | | | | | | | | | | | | | | (381) $false % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | CLOSE: (381) is inconsistent. % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | Case 2: % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | (382) ~ (all_150_5 = 0) | (all_150_0 = 0 & all_150_2 = % 23.24/3.92 | | | | | | | | | | | | | | | 0) % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | BETA: splitting (382) gives: % 23.24/3.92 | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | Case 1: % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | (383) ~ (all_150_5 = 0) % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | REDUCE: (315), (383) imply: % 23.24/3.92 | | | | | | | | | | | | | | | | (384) $false % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent. % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | Case 2: % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_400_2, all_53_2, % 23.24/3.92 | | | | | | | | | | | | | | | | simplifying with (341), (376) gives: % 23.24/3.92 | | | | | | | | | | | | | | | | (385) all_400_2 = 0 % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_400_1, all_53_0, % 23.24/3.92 | | | | | | | | | | | | | | | | simplifying with (306), (377) gives: % 23.24/3.92 | | | | | | | | | | | | | | | | (386) all_400_1 = 0 % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with 0, all_400_0, all_53_2, % 23.24/3.92 | | | | | | | | | | | | | | | | all_53_0, simplifying with (102), (378) gives: % 23.24/3.92 | | | | | | | | | | | | | | | | (387) all_400_0 = 0 % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | BETA: splitting (379) gives: % 23.24/3.92 | | | | | | | | | | | | | | | | % 23.24/3.92 | | | | | | | | | | | | | | | | Case 1: % 23.24/3.92 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | (388) ~ (all_400_0 = 0) % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | REDUCE: (387), (388) imply: % 23.24/3.93 | | | | | | | | | | | | | | | | | (389) $false % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent. % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | Case 2: % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | (390) ~ (all_400_1 = 0) | ~ (all_400_2 = 0) % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | BETA: splitting (390) gives: % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | Case 1: % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | | (391) ~ (all_400_1 = 0) % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | | REDUCE: (386), (391) imply: % 23.24/3.93 | | | | | | | | | | | | | | | | | | (392) $false % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent. % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | Case 2: % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | | (393) ~ (all_400_2 = 0) % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | | REDUCE: (385), (393) imply: % 23.24/3.93 | | | | | | | | | | | | | | | | | | (394) $false % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | | CLOSE: (394) is inconsistent. % 23.24/3.93 | | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | | % 23.24/3.93 | | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | | % 23.24/3.93 | | | | | | | | | End of split % 23.24/3.93 | | | | | | | | | % 23.24/3.93 | | | | | | | | End of split % 23.24/3.93 | | | | | | | | % 23.24/3.93 | | | | | | | End of split % 23.24/3.93 | | | | | | | % 23.24/3.93 | | | | | | End of split % 23.24/3.93 | | | | | | % 23.24/3.93 | | | | | End of split % 23.24/3.93 | | | | | % 23.24/3.93 | | | | End of split % 23.24/3.93 | | | | % 23.24/3.93 | | | End of split % 23.24/3.93 | | | % 23.24/3.93 | | End of split % 23.24/3.93 | | % 23.24/3.93 | End of split % 23.24/3.93 | % 23.24/3.93 End of proof % 23.24/3.93 % SZS output end Proof for theBenchmark % 23.24/3.93 % 23.24/3.93 3342ms %------------------------------------------------------------------------------