%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : RNG104+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 : n009.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 13:57:54 EDT 2023 % Result : Theorem 15.36s 2.86s % Output : Proof 23.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : RNG104+2 : TPTP v8.1.2. Released v4.0.0. % 0.12/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n009.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Sun Aug 27 01:26:20 EDT 2023 % 0.13/0.33 % CPUTime : % 0.58/0.58 ________ _____ % 0.58/0.58 ___ __ \_________(_)________________________________ % 0.58/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.58/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.58/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.58/0.58 % 0.58/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.58/0.58 (2023-06-19) % 0.58/0.58 % 0.58/0.58 (c) Philipp Rümmer, 2009-2023 % 0.58/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.58/0.58 Amanda Stjerna. % 0.58/0.58 Free software under BSD-3-Clause. % 0.58/0.58 % 0.58/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.58/0.58 % 0.58/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.62/0.60 Running up to 7 provers in parallel. % 0.62/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.62/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.62/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.62/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.62/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.62/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.62/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.87/1.15 Prover 4: Preprocessing ... % 2.87/1.15 Prover 1: Preprocessing ... % 3.45/1.18 Prover 0: Preprocessing ... % 3.45/1.18 Prover 5: Preprocessing ... % 3.45/1.19 Prover 2: Preprocessing ... % 3.45/1.19 Prover 6: Preprocessing ... % 3.45/1.19 Prover 3: Preprocessing ... % 9.01/1.98 Prover 1: Constructing countermodel ... % 9.01/2.00 Prover 3: Constructing countermodel ... % 9.76/2.06 Prover 5: Proving ... % 9.76/2.06 Prover 6: Proving ... % 10.84/2.18 Prover 2: Proving ... % 11.14/2.26 Prover 4: Constructing countermodel ... % 11.14/2.29 Prover 0: Proving ... % 15.36/2.85 Prover 0: proved (2248ms) % 15.36/2.85 % 15.36/2.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.36/2.86 % 15.36/2.86 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 15.36/2.86 Prover 3: stopped % 15.36/2.86 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.36/2.86 Prover 5: stopped % 15.36/2.87 Prover 2: stopped % 15.36/2.87 Prover 6: stopped % 15.36/2.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 16.06/2.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 16.06/2.88 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 16.45/2.94 Prover 8: Preprocessing ... % 16.45/2.95 Prover 11: Preprocessing ... % 16.45/2.96 Prover 7: Preprocessing ... % 16.45/2.96 Prover 10: Preprocessing ... % 16.45/2.97 Prover 13: Preprocessing ... % 17.64/3.12 Prover 10: Constructing countermodel ... % 17.64/3.15 Prover 7: Constructing countermodel ... % 17.64/3.16 Prover 8: Warning: ignoring some quantifiers % 18.29/3.17 Prover 8: Constructing countermodel ... % 18.40/3.18 Prover 13: Warning: ignoring some quantifiers % 18.64/3.22 Prover 13: Constructing countermodel ... % 18.78/3.29 Prover 11: Constructing countermodel ... % 23.10/3.80 Prover 10: Found proof (size 99) % 23.10/3.80 Prover 10: proved (931ms) % 23.10/3.80 Prover 13: stopped % 23.10/3.80 Prover 7: stopped % 23.10/3.80 Prover 1: stopped % 23.10/3.80 Prover 8: stopped % 23.10/3.80 Prover 11: stopped % 23.10/3.80 Prover 4: stopped % 23.10/3.80 % 23.10/3.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.10/3.80 % 23.35/3.83 % SZS output start Proof for theBenchmark % 23.35/3.83 Assumptions after simplification: % 23.35/3.83 --------------------------------- % 23.35/3.83 % 23.35/3.83 (mAMDistr) % 23.43/3.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 23.43/3.85 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ % 23.43/3.85 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 23.43/3.85 aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? [v6: $i] : ? [v7: % 23.43/3.85 $i] : ? [v8: $i] : ? [v9: $i] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, % 23.43/3.85 v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, % 23.43/3.85 v9) = v7 & sdtpldt0(v1, v2) = v6 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 23.43/3.85 $i(v5))) % 23.43/3.85 % 23.43/3.85 (mAddComm) % 23.43/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 23.43/3.86 $i(v1) | ~ $i(v0) | ~ aElement0(v1) | ~ aElement0(v0) | (sdtpldt0(v1, v0) % 23.43/3.86 = v2 & $i(v2))) % 23.43/3.86 % 23.43/3.86 (mDefPrIdeal) % 23.43/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (slsdtgt0(v0) = % 23.43/3.86 v1) | ~ (sdtasdt0(v0, v3) = v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 23.43/3.86 $i(v0) | ~ aElement0(v3) | ~ aElement0(v0) | aElementOf0(v2, v1)) & ! % 23.43/3.86 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (slsdtgt0(v0) = v1) | ~ % 23.43/3.86 $i(v2) | ~ $i(v0) | ~ aSet0(v2) | ~ aElement0(v0) | ? [v3: $i] : ? [v4: % 23.43/3.86 $i] : ? [v5: $i] : ($i(v4) & $i(v3) & ( ~ aElementOf0(v3, v2) | ! [v6: % 23.43/3.86 $i] : ( ~ (sdtasdt0(v0, v6) = v3) | ~ $i(v6) | ~ aElement0(v6))) & % 23.43/3.86 (aElementOf0(v3, v2) | (v5 = v3 & sdtasdt0(v0, v4) = v3 & % 23.43/3.86 aElement0(v4))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 23.43/3.86 (slsdtgt0(v0) = v1) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v2, % 23.43/3.86 v1) | ~ aElement0(v0) | ? [v3: $i] : (sdtasdt0(v0, v3) = v2 & $i(v3) & % 23.43/3.86 aElement0(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (slsdtgt0(v0) = v1) | ~ % 23.43/3.86 $i(v1) | ~ $i(v0) | ~ aElement0(v0) | aSet0(v1)) % 23.43/3.86 % 23.43/3.86 (mMulAsso) % 23.43/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 23.43/3.86 (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 23.43/3.86 | ~ $i(v0) | ~ aElement0(v2) | ~ aElement0(v1) | ~ aElement0(v0) | ? % 23.43/3.86 [v5: $i] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4 & $i(v5) & % 23.43/3.86 $i(v4))) % 23.43/3.86 % 23.43/3.86 (mMulComm) % 23.43/3.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 23.43/3.87 $i(v1) | ~ $i(v0) | ~ aElement0(v1) | ~ aElement0(v0) | (sdtasdt0(v1, v0) % 23.43/3.87 = v2 & $i(v2))) % 23.43/3.87 % 23.43/3.87 (mSortsB_02) % 23.43/3.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 23.43/3.87 $i(v1) | ~ $i(v0) | ~ aElement0(v1) | ~ aElement0(v0) | aElement0(v2)) % 23.43/3.87 % 23.43/3.87 (m__) % 23.43/3.87 $i(xu) & $i(xz) & $i(xx) & $i(xc) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 23.43/3.87 ( ~ (v2 = v0) & sdtasdt0(xu, xz) = v1 & sdtasdt0(xz, xx) = v0 & sdtasdt0(xc, % 23.43/3.87 v1) = v2 & $i(v2) & $i(v1) & $i(v0)) % 23.43/3.87 % 23.43/3.87 (m__1905) % 23.43/3.87 $i(xc) & aElement0(xc) % 23.43/3.87 % 23.43/3.87 (m__1933) % 23.43/3.87 $i(xz) & $i(xy) & $i(xx) & $i(xc) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 23.43/3.87 (slsdtgt0(xc) = v0 & sdtasdt0(xc, v2) = xx & sdtasdt0(xc, v1) = xy & $i(v2) & % 23.43/3.87 $i(v1) & $i(v0) & aElementOf0(xy, v0) & aElementOf0(xx, v0) & aElement0(v2) % 23.43/3.87 & aElement0(v1) & aElement0(xz)) % 23.43/3.87 % 23.43/3.87 (m__1956) % 23.43/3.87 sdtasdt0(xc, xu) = xx & $i(xu) & $i(xx) & $i(xc) & aElement0(xu) % 23.43/3.87 % 23.43/3.87 (m__1979) % 23.43/3.87 sdtasdt0(xc, xv) = xy & $i(xv) & $i(xy) & $i(xc) & aElement0(xv) % 23.43/3.87 % 23.43/3.87 (m__2010) % 23.43/3.87 $i(xv) & $i(xu) & $i(xy) & $i(xx) & $i(xc) & ? [v0: $i] : ? [v1: $i] : % 23.43/3.87 (sdtasdt0(xc, v1) = v0 & sdtpldt0(xu, xv) = v1 & sdtpldt0(xx, xy) = v0 & % 23.43/3.87 $i(v1) & $i(v0)) % 23.43/3.87 % 23.43/3.87 (function-axioms) % 23.43/3.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.43/3.87 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 23.43/3.87 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | % 23.43/3.87 ~ (sdtpldt1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 23.43/3.87 [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 23.43/3.87 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.43/3.87 (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: $i] : ! % 23.43/3.87 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slsdtgt0(v2) = v1) | ~ (slsdtgt0(v2) % 23.43/3.87 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 23.43/3.87 (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 23.43/3.87 ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 23.43/3.87 % 23.43/3.87 Further assumptions not needed in the proof: % 23.43/3.87 -------------------------------------------- % 23.43/3.88 mAddAsso, mAddInvr, mAddZero, mCancel, mChineseRemainder, mDefDiv, mDefDvs, % 23.43/3.88 mDefGCD, mDefIdeal, mDefMod, mDefRel, mDefSInt, mDefSSum, mDivision, mEOfElem, % 23.43/3.88 mElmSort, mEucSort, mIdeInt, mIdeSum, mMulMnOne, mMulUnit, mMulZero, mNatLess, % 23.43/3.88 mNatSort, mSetEq, mSetSort, mSortsB, mSortsC, mSortsC_01, mSortsU, mUnNeZr % 23.43/3.88 % 23.43/3.88 Those formulas are unsatisfiable: % 23.43/3.88 --------------------------------- % 23.43/3.88 % 23.43/3.88 Begin of proof % 23.43/3.88 | % 23.43/3.88 | ALPHA: (mDefPrIdeal) implies: % 23.43/3.88 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (slsdtgt0(v0) = v1) | ~ % 23.43/3.88 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v2, v1) | ~ % 23.43/3.88 | aElement0(v0) | ? [v3: $i] : (sdtasdt0(v0, v3) = v2 & $i(v3) & % 23.43/3.88 | aElement0(v3))) % 23.43/3.88 | % 23.43/3.88 | ALPHA: (m__1905) implies: % 23.43/3.88 | (2) aElement0(xc) % 23.43/3.88 | % 23.43/3.88 | ALPHA: (m__1933) implies: % 23.43/3.88 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (slsdtgt0(xc) = v0 & % 23.43/3.88 | sdtasdt0(xc, v2) = xx & sdtasdt0(xc, v1) = xy & $i(v2) & $i(v1) & % 23.43/3.88 | $i(v0) & aElementOf0(xy, v0) & aElementOf0(xx, v0) & aElement0(v2) & % 23.43/3.88 | aElement0(v1) & aElement0(xz)) % 23.43/3.88 | % 23.43/3.88 | ALPHA: (m__1956) implies: % 23.43/3.88 | (4) aElement0(xu) % 23.43/3.88 | (5) sdtasdt0(xc, xu) = xx % 23.43/3.88 | % 23.43/3.88 | ALPHA: (m__1979) implies: % 23.43/3.88 | (6) aElement0(xv) % 23.43/3.88 | (7) sdtasdt0(xc, xv) = xy % 23.43/3.88 | % 23.43/3.88 | ALPHA: (m__2010) implies: % 23.43/3.88 | (8) $i(xv) % 23.43/3.88 | (9) ? [v0: $i] : ? [v1: $i] : (sdtasdt0(xc, v1) = v0 & sdtpldt0(xu, xv) = % 23.43/3.88 | v1 & sdtpldt0(xx, xy) = v0 & $i(v1) & $i(v0)) % 23.43/3.88 | % 23.43/3.88 | ALPHA: (m__) implies: % 23.43/3.88 | (10) $i(xc) % 23.43/3.88 | (11) $i(xz) % 23.43/3.88 | (12) $i(xu) % 23.43/3.88 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) & sdtasdt0(xu, % 23.43/3.88 | xz) = v1 & sdtasdt0(xz, xx) = v0 & sdtasdt0(xc, v1) = v2 & $i(v2) % 23.43/3.88 | & $i(v1) & $i(v0)) % 23.43/3.88 | % 23.43/3.88 | ALPHA: (function-axioms) implies: % 23.43/3.88 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.43/3.88 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 23.43/3.88 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.43/3.88 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 23.43/3.88 | % 23.43/3.88 | DELTA: instantiating (9) with fresh symbols all_33_0, all_33_1 gives: % 23.43/3.89 | (16) sdtasdt0(xc, all_33_0) = all_33_1 & sdtpldt0(xu, xv) = all_33_0 & % 23.43/3.89 | sdtpldt0(xx, xy) = all_33_1 & $i(all_33_0) & $i(all_33_1) % 23.43/3.89 | % 23.43/3.89 | ALPHA: (16) implies: % 23.43/3.89 | (17) sdtpldt0(xx, xy) = all_33_1 % 23.43/3.89 | % 23.43/3.89 | DELTA: instantiating (13) with fresh symbols all_35_0, all_35_1, all_35_2 % 23.43/3.89 | gives: % 23.43/3.89 | (18) ~ (all_35_0 = all_35_2) & sdtasdt0(xu, xz) = all_35_1 & sdtasdt0(xz, % 23.43/3.89 | xx) = all_35_2 & sdtasdt0(xc, all_35_1) = all_35_0 & $i(all_35_0) & % 23.43/3.89 | $i(all_35_1) & $i(all_35_2) % 23.43/3.89 | % 23.43/3.89 | ALPHA: (18) implies: % 23.43/3.89 | (19) ~ (all_35_0 = all_35_2) % 23.43/3.89 | (20) sdtasdt0(xc, all_35_1) = all_35_0 % 23.43/3.89 | (21) sdtasdt0(xz, xx) = all_35_2 % 23.43/3.89 | (22) sdtasdt0(xu, xz) = all_35_1 % 23.43/3.89 | % 23.43/3.89 | DELTA: instantiating (3) with fresh symbols all_40_0, all_40_1, all_40_2 % 23.43/3.89 | gives: % 23.43/3.89 | (23) slsdtgt0(xc) = all_40_2 & sdtasdt0(xc, all_40_0) = xx & sdtasdt0(xc, % 23.43/3.89 | all_40_1) = xy & $i(all_40_0) & $i(all_40_1) & $i(all_40_2) & % 23.43/3.89 | aElementOf0(xy, all_40_2) & aElementOf0(xx, all_40_2) & % 23.43/3.89 | aElement0(all_40_0) & aElement0(all_40_1) & aElement0(xz) % 23.43/3.89 | % 23.43/3.89 | ALPHA: (23) implies: % 23.43/3.89 | (24) aElement0(xz) % 23.43/3.89 | (25) aElement0(all_40_1) % 23.43/3.89 | (26) aElement0(all_40_0) % 23.43/3.89 | (27) aElementOf0(xy, all_40_2) % 23.43/3.89 | (28) $i(all_40_2) % 23.43/3.89 | (29) $i(all_40_1) % 23.43/3.89 | (30) $i(all_40_0) % 23.43/3.89 | (31) sdtasdt0(xc, all_40_1) = xy % 23.43/3.89 | (32) sdtasdt0(xc, all_40_0) = xx % 23.43/3.89 | (33) slsdtgt0(xc) = all_40_2 % 23.43/3.89 | % 23.43/3.89 | GROUND_INST: instantiating (mMulComm) with xc, xu, xx, simplifying with (2), % 23.43/3.89 | (4), (5), (10), (12) gives: % 23.43/3.89 | (34) sdtasdt0(xu, xc) = xx & $i(xx) % 23.43/3.89 | % 23.43/3.89 | ALPHA: (34) implies: % 23.43/3.89 | (35) sdtasdt0(xu, xc) = xx % 23.43/3.89 | % 23.43/3.89 | GROUND_INST: instantiating (mAMDistr) with xc, xu, xv, xx, xy, all_33_1, % 23.43/3.89 | simplifying with (2), (4), (5), (6), (7), (8), (10), (12), (17) % 23.43/3.89 | gives: % 23.43/3.89 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v0, % 23.43/3.89 | xc) = v1 & sdtasdt0(xv, xc) = v3 & sdtasdt0(xu, xc) = v2 & % 23.43/3.89 | sdtasdt0(xc, v0) = all_33_1 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xu, % 23.43/3.89 | xv) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & $i(all_33_1)) % 23.43/3.89 | % 23.43/3.89 | GROUND_INST: instantiating (mMulComm) with xc, xv, xy, simplifying with (2), % 23.43/3.89 | (6), (7), (8), (10) gives: % 23.43/3.89 | (37) sdtasdt0(xv, xc) = xy & $i(xy) % 23.43/3.89 | % 23.43/3.89 | ALPHA: (37) implies: % 23.43/3.89 | (38) sdtasdt0(xv, xc) = xy % 23.43/3.89 | % 23.43/3.89 | GROUND_INST: instantiating (mAMDistr) with xc, xu, all_40_1, xx, xy, all_33_1, % 23.43/3.89 | simplifying with (2), (4), (5), (10), (12), (17), (25), (29), % 23.43/3.89 | (31) gives: % 23.43/3.90 | (39) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v0, % 23.43/3.90 | xc) = v1 & sdtasdt0(all_40_1, xc) = v3 & sdtasdt0(xu, xc) = v2 & % 23.43/3.90 | sdtasdt0(xc, v0) = all_33_1 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xu, % 23.43/3.90 | all_40_1) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & $i(all_33_1)) % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mSortsB_02) with xc, all_40_1, xy, simplifying % 23.43/3.90 | with (2), (10), (25), (29), (31) gives: % 23.43/3.90 | (40) aElement0(xy) % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mMulComm) with xc, all_40_1, xy, simplifying with % 23.43/3.90 | (2), (10), (25), (29), (31) gives: % 23.43/3.90 | (41) sdtasdt0(all_40_1, xc) = xy & $i(xy) % 23.43/3.90 | % 23.43/3.90 | ALPHA: (41) implies: % 23.43/3.90 | (42) $i(xy) % 23.43/3.90 | (43) sdtasdt0(all_40_1, xc) = xy % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mAMDistr) with xc, all_40_0, all_40_1, xx, xy, % 23.43/3.90 | all_33_1, simplifying with (2), (10), (17), (25), (26), (29), % 23.43/3.90 | (30), (31), (32) gives: % 23.43/3.90 | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v0, % 23.43/3.90 | xc) = v1 & sdtasdt0(all_40_0, xc) = v2 & sdtasdt0(all_40_1, xc) = % 23.43/3.90 | v3 & sdtasdt0(xc, v0) = all_33_1 & sdtpldt0(v2, v3) = v1 & % 23.43/3.90 | sdtpldt0(all_40_0, all_40_1) = v0 & $i(v3) & $i(v2) & $i(v1) & % 23.43/3.90 | $i(v0) & $i(all_33_1)) % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mAMDistr) with xc, all_40_0, xv, xx, xy, all_33_1, % 23.43/3.90 | simplifying with (2), (6), (7), (8), (10), (17), (26), (30), (32) % 23.43/3.90 | gives: % 23.43/3.90 | (45) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v0, % 23.43/3.90 | xc) = v1 & sdtasdt0(all_40_0, xc) = v2 & sdtasdt0(xv, xc) = v3 & % 23.43/3.90 | sdtasdt0(xc, v0) = all_33_1 & sdtpldt0(v2, v3) = v1 & % 23.43/3.90 | sdtpldt0(all_40_0, xv) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 23.43/3.90 | $i(all_33_1)) % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mSortsB_02) with xc, all_40_0, xx, simplifying % 23.43/3.90 | with (2), (10), (26), (30), (32) gives: % 23.43/3.90 | (46) aElement0(xx) % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mMulComm) with xc, all_40_0, xx, simplifying with % 23.43/3.90 | (2), (10), (26), (30), (32) gives: % 23.43/3.90 | (47) sdtasdt0(all_40_0, xc) = xx & $i(xx) % 23.43/3.90 | % 23.43/3.90 | ALPHA: (47) implies: % 23.43/3.90 | (48) sdtasdt0(all_40_0, xc) = xx % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mSortsB_02) with xu, xz, all_35_1, simplifying % 23.43/3.90 | with (4), (11), (12), (22), (24) gives: % 23.43/3.90 | (49) aElement0(all_35_1) % 23.43/3.90 | % 23.43/3.90 | GROUND_INST: instantiating (mMulComm) with xu, xz, all_35_1, simplifying with % 23.43/3.90 | (4), (11), (12), (22), (24) gives: % 23.43/3.90 | (50) sdtasdt0(xz, xu) = all_35_1 & $i(all_35_1) % 23.43/3.90 | % 23.43/3.90 | ALPHA: (50) implies: % 23.43/3.90 | (51) $i(all_35_1) % 23.43/3.90 | (52) sdtasdt0(xz, xu) = all_35_1 % 23.43/3.90 | % 23.43/3.91 | GROUND_INST: instantiating (1) with xc, all_40_2, xy, simplifying with (2), % 23.43/3.91 | (10), (27), (28), (33), (42) gives: % 23.43/3.91 | (53) ? [v0: $i] : (sdtasdt0(xc, v0) = xy & $i(v0) & aElement0(v0)) % 23.43/3.91 | % 23.43/3.91 | DELTA: instantiating (53) with fresh symbol all_50_0 gives: % 23.43/3.91 | (54) sdtasdt0(xc, all_50_0) = xy & $i(all_50_0) & aElement0(all_50_0) % 23.43/3.91 | % 23.43/3.91 | ALPHA: (54) implies: % 23.43/3.91 | (55) aElement0(all_50_0) % 23.43/3.91 | (56) $i(all_50_0) % 23.43/3.91 | (57) sdtasdt0(xc, all_50_0) = xy % 23.43/3.91 | % 23.43/3.91 | DELTA: instantiating (39) with fresh symbols all_52_0, all_52_1, all_52_2, % 23.43/3.91 | all_52_3 gives: % 23.43/3.91 | (58) sdtasdt0(all_52_3, xc) = all_52_2 & sdtasdt0(all_40_1, xc) = all_52_0 % 23.43/3.91 | & sdtasdt0(xu, xc) = all_52_1 & sdtasdt0(xc, all_52_3) = all_33_1 & % 23.43/3.91 | sdtpldt0(all_52_1, all_52_0) = all_52_2 & sdtpldt0(xu, all_40_1) = % 23.43/3.91 | all_52_3 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3) & % 23.43/3.91 | $i(all_33_1) % 23.43/3.91 | % 23.43/3.91 | ALPHA: (58) implies: % 23.43/3.91 | (59) $i(all_52_1) % 23.43/3.91 | (60) $i(all_52_0) % 23.43/3.91 | (61) sdtpldt0(all_52_1, all_52_0) = all_52_2 % 23.43/3.91 | (62) sdtasdt0(xu, xc) = all_52_1 % 23.43/3.91 | (63) sdtasdt0(all_40_1, xc) = all_52_0 % 23.43/3.91 | % 23.43/3.91 | DELTA: instantiating (45) with fresh symbols all_54_0, all_54_1, all_54_2, % 23.43/3.91 | all_54_3 gives: % 23.43/3.91 | (64) sdtasdt0(all_54_3, xc) = all_54_2 & sdtasdt0(all_40_0, xc) = all_54_1 % 23.43/3.91 | & sdtasdt0(xv, xc) = all_54_0 & sdtasdt0(xc, all_54_3) = all_33_1 & % 23.43/3.91 | sdtpldt0(all_54_1, all_54_0) = all_54_2 & sdtpldt0(all_40_0, xv) = % 23.43/3.91 | all_54_3 & $i(all_54_0) & $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & % 23.43/3.91 | $i(all_33_1) % 23.43/3.91 | % 23.43/3.91 | ALPHA: (64) implies: % 23.43/3.91 | (65) sdtpldt0(all_54_1, all_54_0) = all_54_2 % 23.43/3.91 | (66) sdtasdt0(xv, xc) = all_54_0 % 23.43/3.91 | (67) sdtasdt0(all_40_0, xc) = all_54_1 % 23.43/3.91 | % 23.43/3.91 | DELTA: instantiating (36) with fresh symbols all_56_0, all_56_1, all_56_2, % 23.43/3.91 | all_56_3 gives: % 23.43/3.91 | (68) sdtasdt0(all_56_3, xc) = all_56_2 & sdtasdt0(xv, xc) = all_56_0 & % 23.43/3.91 | sdtasdt0(xu, xc) = all_56_1 & sdtasdt0(xc, all_56_3) = all_33_1 & % 23.43/3.91 | sdtpldt0(all_56_1, all_56_0) = all_56_2 & sdtpldt0(xu, xv) = all_56_3 % 23.43/3.91 | & $i(all_56_0) & $i(all_56_1) & $i(all_56_2) & $i(all_56_3) & % 23.43/3.91 | $i(all_33_1) % 23.43/3.91 | % 23.43/3.91 | ALPHA: (68) implies: % 23.43/3.91 | (69) sdtpldt0(all_56_1, all_56_0) = all_56_2 % 23.43/3.91 | (70) sdtasdt0(xu, xc) = all_56_1 % 23.43/3.91 | (71) sdtasdt0(xv, xc) = all_56_0 % 23.43/3.91 | % 23.43/3.91 | DELTA: instantiating (44) with fresh symbols all_58_0, all_58_1, all_58_2, % 23.43/3.91 | all_58_3 gives: % 23.43/3.91 | (72) sdtasdt0(all_58_3, xc) = all_58_2 & sdtasdt0(all_40_0, xc) = all_58_1 % 23.43/3.91 | & sdtasdt0(all_40_1, xc) = all_58_0 & sdtasdt0(xc, all_58_3) = % 23.43/3.91 | all_33_1 & sdtpldt0(all_58_1, all_58_0) = all_58_2 & % 23.43/3.91 | sdtpldt0(all_40_0, all_40_1) = all_58_3 & $i(all_58_0) & $i(all_58_1) % 23.43/3.91 | & $i(all_58_2) & $i(all_58_3) & $i(all_33_1) % 23.43/3.91 | % 23.43/3.91 | ALPHA: (72) implies: % 23.43/3.91 | (73) sdtpldt0(all_58_1, all_58_0) = all_58_2 % 23.43/3.91 | (74) sdtasdt0(all_40_1, xc) = all_58_0 % 23.43/3.91 | (75) sdtasdt0(all_40_0, xc) = all_58_1 % 23.43/3.91 | % 23.43/3.91 | GROUND_INST: instantiating (15) with all_52_1, all_56_1, xc, xu, simplifying % 23.43/3.91 | with (62), (70) gives: % 23.43/3.91 | (76) all_56_1 = all_52_1 % 23.43/3.91 | % 23.43/3.91 | GROUND_INST: instantiating (15) with xx, all_56_1, xc, xu, simplifying with % 23.43/3.91 | (35), (70) gives: % 23.43/3.91 | (77) all_56_1 = xx % 23.43/3.91 | % 23.43/3.91 | GROUND_INST: instantiating (15) with all_54_0, all_56_0, xc, xv, simplifying % 23.43/3.91 | with (66), (71) gives: % 23.43/3.91 | (78) all_56_0 = all_54_0 % 23.43/3.91 | % 23.43/3.91 | GROUND_INST: instantiating (15) with xy, all_56_0, xc, xv, simplifying with % 23.43/3.91 | (38), (71) gives: % 23.43/3.91 | (79) all_56_0 = xy % 23.43/3.91 | % 23.43/3.91 | GROUND_INST: instantiating (15) with all_52_0, all_58_0, xc, all_40_1, % 23.43/3.91 | simplifying with (63), (74) gives: % 23.43/3.91 | (80) all_58_0 = all_52_0 % 23.43/3.91 | % 23.82/3.91 | GROUND_INST: instantiating (15) with xy, all_58_0, xc, all_40_1, simplifying % 23.82/3.91 | with (43), (74) gives: % 23.82/3.91 | (81) all_58_0 = xy % 23.82/3.91 | % 23.82/3.91 | GROUND_INST: instantiating (15) with all_54_1, all_58_1, xc, all_40_0, % 23.82/3.91 | simplifying with (67), (75) gives: % 23.82/3.91 | (82) all_58_1 = all_54_1 % 23.82/3.91 | % 23.82/3.91 | GROUND_INST: instantiating (15) with xx, all_58_1, xc, all_40_0, simplifying % 23.82/3.91 | with (48), (75) gives: % 23.82/3.91 | (83) all_58_1 = xx % 23.82/3.91 | % 23.82/3.92 | COMBINE_EQS: (80), (81) imply: % 23.82/3.92 | (84) all_52_0 = xy % 23.82/3.92 | % 23.82/3.92 | SIMP: (84) implies: % 23.82/3.92 | (85) all_52_0 = xy % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (82), (83) imply: % 23.82/3.92 | (86) all_54_1 = xx % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (78), (79) imply: % 23.82/3.92 | (87) all_54_0 = xy % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (76), (77) imply: % 23.82/3.92 | (88) all_52_1 = xx % 23.82/3.92 | % 23.82/3.92 | SIMP: (88) implies: % 23.82/3.92 | (89) all_52_1 = xx % 23.82/3.92 | % 23.82/3.92 | REDUCE: (73), (81), (83) imply: % 23.82/3.92 | (90) sdtpldt0(xx, xy) = all_58_2 % 23.82/3.92 | % 23.82/3.92 | REDUCE: (69), (77), (79) imply: % 23.82/3.92 | (91) sdtpldt0(xx, xy) = all_56_2 % 23.82/3.92 | % 23.82/3.92 | REDUCE: (65), (86), (87) imply: % 23.82/3.92 | (92) sdtpldt0(xx, xy) = all_54_2 % 23.82/3.92 | % 23.82/3.92 | REDUCE: (61), (85), (89) imply: % 23.82/3.92 | (93) sdtpldt0(xx, xy) = all_52_2 % 23.82/3.92 | % 23.82/3.92 | REDUCE: (59), (89) imply: % 23.82/3.92 | (94) $i(xx) % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (14) with all_52_2, all_54_2, xy, xx, simplifying % 23.82/3.92 | with (92), (93) gives: % 23.82/3.92 | (95) all_54_2 = all_52_2 % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (14) with all_33_1, all_58_2, xy, xx, simplifying % 23.82/3.92 | with (17), (90) gives: % 23.82/3.92 | (96) all_58_2 = all_33_1 % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (14) with all_56_2, all_58_2, xy, xx, simplifying % 23.82/3.92 | with (90), (91) gives: % 23.82/3.92 | (97) all_58_2 = all_56_2 % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (14) with all_54_2, all_58_2, xy, xx, simplifying % 23.82/3.92 | with (90), (92) gives: % 23.82/3.92 | (98) all_58_2 = all_54_2 % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (96), (97) imply: % 23.82/3.92 | (99) all_56_2 = all_33_1 % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (97), (98) imply: % 23.82/3.92 | (100) all_56_2 = all_54_2 % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (99), (100) imply: % 23.82/3.92 | (101) all_54_2 = all_33_1 % 23.82/3.92 | % 23.82/3.92 | SIMP: (101) implies: % 23.82/3.92 | (102) all_54_2 = all_33_1 % 23.82/3.92 | % 23.82/3.92 | COMBINE_EQS: (95), (102) imply: % 23.82/3.92 | (103) all_52_2 = all_33_1 % 23.82/3.92 | % 23.82/3.92 | SIMP: (103) implies: % 23.82/3.92 | (104) all_52_2 = all_33_1 % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (mAddComm) with xx, xy, all_33_1, simplifying with % 23.82/3.92 | (17), (40), (42), (46), (94) gives: % 23.82/3.92 | (105) sdtpldt0(xy, xx) = all_33_1 & $i(all_33_1) % 23.82/3.92 | % 23.82/3.92 | ALPHA: (105) implies: % 23.82/3.92 | (106) sdtpldt0(xy, xx) = all_33_1 % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (mMulComm) with xc, all_35_1, all_35_0, simplifying % 23.82/3.92 | with (2), (10), (20), (49), (51) gives: % 23.82/3.92 | (107) sdtasdt0(all_35_1, xc) = all_35_0 & $i(all_35_0) % 23.82/3.92 | % 23.82/3.92 | ALPHA: (107) implies: % 23.82/3.92 | (108) sdtasdt0(all_35_1, xc) = all_35_0 % 23.82/3.92 | % 23.82/3.92 | GROUND_INST: instantiating (mAMDistr) with xc, xu, all_50_0, xx, xy, all_33_1, % 23.82/3.92 | simplifying with (2), (4), (5), (10), (12), (17), (55), (56), % 23.82/3.92 | (57) gives: % 23.82/3.92 | (109) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v0, % 23.82/3.92 | xc) = v1 & sdtasdt0(all_50_0, xc) = v3 & sdtasdt0(xu, xc) = v2 & % 23.82/3.92 | sdtasdt0(xc, v0) = all_33_1 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xu, % 23.82/3.92 | all_50_0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 23.82/3.92 | $i(all_33_1)) % 23.82/3.92 | % 23.82/3.92 | DELTA: instantiating (109) with fresh symbols all_80_0, all_80_1, all_80_2, % 23.82/3.92 | all_80_3 gives: % 23.82/3.93 | (110) sdtasdt0(all_80_3, xc) = all_80_2 & sdtasdt0(all_50_0, xc) = all_80_0 % 23.82/3.93 | & sdtasdt0(xu, xc) = all_80_1 & sdtasdt0(xc, all_80_3) = all_33_1 & % 23.82/3.93 | sdtpldt0(all_80_1, all_80_0) = all_80_2 & sdtpldt0(xu, all_50_0) = % 23.82/3.93 | all_80_3 & $i(all_80_0) & $i(all_80_1) & $i(all_80_2) & $i(all_80_3) % 23.82/3.93 | & $i(all_33_1) % 23.82/3.93 | % 23.82/3.93 | ALPHA: (110) implies: % 23.82/3.93 | (111) sdtasdt0(xu, xc) = all_80_1 % 23.82/3.93 | % 23.82/3.93 | GROUND_INST: instantiating (15) with xx, all_80_1, xc, xu, simplifying with % 23.82/3.93 | (35), (111) gives: % 23.82/3.93 | (112) all_80_1 = xx % 23.82/3.93 | % 23.82/3.93 | GROUND_INST: instantiating (mAMDistr) with xc, all_50_0, xu, xy, xx, all_33_1, % 23.82/3.93 | simplifying with (2), (4), (5), (10), (12), (55), (56), (57), % 23.82/3.93 | (106) gives: % 23.82/3.93 | (113) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v0, % 23.82/3.93 | xc) = v1 & sdtasdt0(all_50_0, xc) = v2 & sdtasdt0(xu, xc) = v3 & % 23.82/3.93 | sdtasdt0(xc, v0) = all_33_1 & sdtpldt0(v2, v3) = v1 & % 23.82/3.93 | sdtpldt0(all_50_0, xu) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 23.82/3.93 | $i(all_33_1)) % 23.82/3.93 | % 23.82/3.93 | GROUND_INST: instantiating (mMulAsso) with xz, xu, xc, all_35_1, all_35_0, % 23.82/3.93 | simplifying with (2), (4), (10), (11), (12), (24), (52), (108) % 23.82/3.93 | gives: % 23.82/3.93 | (114) ? [v0: $i] : (sdtasdt0(xu, xc) = v0 & sdtasdt0(xz, v0) = all_35_0 & % 23.82/3.93 | $i(v0) & $i(all_35_0)) % 23.82/3.93 | % 23.82/3.93 | DELTA: instantiating (114) with fresh symbol all_118_0 gives: % 23.82/3.93 | (115) sdtasdt0(xu, xc) = all_118_0 & sdtasdt0(xz, all_118_0) = all_35_0 & % 23.82/3.93 | $i(all_118_0) & $i(all_35_0) % 23.82/3.93 | % 23.82/3.93 | ALPHA: (115) implies: % 23.82/3.93 | (116) sdtasdt0(xz, all_118_0) = all_35_0 % 23.82/3.93 | (117) sdtasdt0(xu, xc) = all_118_0 % 23.82/3.93 | % 23.82/3.93 | DELTA: instantiating (113) with fresh symbols all_142_0, all_142_1, all_142_2, % 23.82/3.93 | all_142_3 gives: % 23.82/3.93 | (118) sdtasdt0(all_142_3, xc) = all_142_2 & sdtasdt0(all_50_0, xc) = % 23.82/3.93 | all_142_1 & sdtasdt0(xu, xc) = all_142_0 & sdtasdt0(xc, all_142_3) = % 23.82/3.93 | all_33_1 & sdtpldt0(all_142_1, all_142_0) = all_142_2 & % 23.82/3.93 | sdtpldt0(all_50_0, xu) = all_142_3 & $i(all_142_0) & $i(all_142_1) & % 23.82/3.93 | $i(all_142_2) & $i(all_142_3) & $i(all_33_1) % 23.82/3.93 | % 23.82/3.93 | ALPHA: (118) implies: % 23.82/3.93 | (119) sdtasdt0(xu, xc) = all_142_0 % 23.82/3.93 | % 23.82/3.93 | GROUND_INST: instantiating (15) with xx, all_142_0, xc, xu, simplifying with % 23.82/3.93 | (35), (119) gives: % 23.82/3.93 | (120) all_142_0 = xx % 23.82/3.93 | % 23.82/3.93 | GROUND_INST: instantiating (15) with all_118_0, all_142_0, xc, xu, simplifying % 23.82/3.93 | with (117), (119) gives: % 23.82/3.93 | (121) all_142_0 = all_118_0 % 23.82/3.93 | % 23.82/3.93 | COMBINE_EQS: (120), (121) imply: % 23.82/3.93 | (122) all_118_0 = xx % 23.82/3.93 | % 23.82/3.93 | SIMP: (122) implies: % 23.82/3.93 | (123) all_118_0 = xx % 23.82/3.93 | % 23.82/3.93 | REDUCE: (116), (123) imply: % 23.82/3.93 | (124) sdtasdt0(xz, xx) = all_35_0 % 23.82/3.93 | % 23.82/3.93 | GROUND_INST: instantiating (15) with all_35_2, all_35_0, xx, xz, simplifying % 23.82/3.93 | with (21), (124) gives: % 23.82/3.93 | (125) all_35_0 = all_35_2 % 23.82/3.93 | % 23.82/3.93 | REDUCE: (19), (125) imply: % 23.82/3.93 | (126) $false % 23.82/3.93 | % 23.82/3.93 | CLOSE: (126) is inconsistent. % 23.82/3.93 | % 23.82/3.93 End of proof % 23.82/3.93 % SZS output end Proof for theBenchmark % 23.82/3.93 % 23.82/3.93 3349ms %------------------------------------------------------------------------------