%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : RNG070+1 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.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 13:57:40 EDT 2023 % Result : Theorem 12.13s 2.31s % Output : Proof 20.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG070+1 : TPTP v8.1.2. Released v4.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sun Aug 27 02:26:56 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.62/0.62 Running up to 7 provers in parallel. % 0.74/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.74/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.74/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.74/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.74/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.74/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.74/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.04/1.15 Prover 1: Preprocessing ... % 3.04/1.15 Prover 4: Preprocessing ... % 3.74/1.19 Prover 2: Preprocessing ... % 3.74/1.19 Prover 0: Preprocessing ... % 3.74/1.19 Prover 6: Preprocessing ... % 3.74/1.19 Prover 3: Preprocessing ... % 3.74/1.19 Prover 5: Preprocessing ... % 8.65/1.88 Prover 1: Constructing countermodel ... % 8.65/1.88 Prover 3: Constructing countermodel ... % 8.65/1.92 Prover 6: Proving ... % 10.69/2.11 Prover 5: Constructing countermodel ... % 10.88/2.22 Prover 4: Constructing countermodel ... % 11.57/2.25 Prover 2: Proving ... % 12.13/2.30 Prover 3: proved (1675ms) % 12.13/2.30 % 12.13/2.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.13/2.31 % 12.13/2.31 Prover 5: stopped % 12.13/2.31 Prover 6: stopped % 12.13/2.31 Prover 2: stopped % 12.13/2.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.13/2.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.13/2.33 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.13/2.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.13/2.35 Prover 0: Proving ... % 12.13/2.35 Prover 0: stopped % 12.13/2.35 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.73/2.37 Prover 7: Preprocessing ... % 12.83/2.41 Prover 8: Preprocessing ... % 13.19/2.43 Prover 10: Preprocessing ... % 13.19/2.46 Prover 11: Preprocessing ... % 13.19/2.47 Prover 13: Preprocessing ... % 13.82/2.57 Prover 8: Warning: ignoring some quantifiers % 14.33/2.59 Prover 8: Constructing countermodel ... % 14.33/2.59 Prover 10: Constructing countermodel ... % 14.33/2.64 Prover 7: Constructing countermodel ... % 15.42/2.72 Prover 13: Constructing countermodel ... % 16.20/2.86 Prover 11: Constructing countermodel ... % 20.01/3.32 Prover 10: Found proof (size 46) % 20.01/3.32 Prover 10: proved (999ms) % 20.01/3.32 Prover 7: stopped % 20.01/3.32 Prover 11: stopped % 20.01/3.32 Prover 8: stopped % 20.01/3.32 Prover 1: stopped % 20.01/3.32 Prover 4: stopped % 20.01/3.32 Prover 13: stopped % 20.01/3.32 % 20.01/3.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 20.01/3.32 % 20.16/3.33 % SZS output start Proof for theBenchmark % 20.16/3.34 Assumptions after simplification: % 20.16/3.34 --------------------------------- % 20.16/3.34 % 20.16/3.34 (mDistr) % 20.16/3.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 20.16/3.36 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ % 20.16/3.36 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 20.16/3.36 aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v6: $i] : ? [v7: $i] % 20.16/3.36 : ? [v8: $i] : ? [v9: $i] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 % 20.16/3.36 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & % 20.16/3.36 sdtpldt0(v0, v1) = v7 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5))) % 20.16/3.36 % 20.16/3.36 (mLETot) % 20.16/3.36 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ aScalar0(v1) | ~ % 20.16/3.36 aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) % 20.16/3.36 % 20.16/3.36 (mSumSc) % 20.16/3.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 20.16/3.36 $i(v1) | ~ $i(v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) % 20.16/3.36 % 20.16/3.36 (m__) % 20.16/3.37 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v1 % 20.16/3.37 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0) & ~ sdtlseqdt0(v0, v1)) % 20.16/3.37 % 20.16/3.37 (m__1892) % 20.16/3.37 sdtasdt0(xC, xG) = xR & $i(xR) & $i(xG) & $i(xC) & aScalar0(xR) % 20.16/3.37 % 20.16/3.37 (m__1911) % 20.16/3.37 sdtasdt0(xE, xH) = xP & $i(xP) & $i(xH) & $i(xE) & aScalar0(xP) % 20.16/3.37 % 20.16/3.37 (m__1930) % 20.16/3.37 sdtasdt0(xF, xD) = xS & $i(xS) & $i(xF) & $i(xD) & aScalar0(xS) % 20.16/3.37 % 20.16/3.37 (m__2004) % 20.16/3.37 $i(xN) & $i(xP) & ? [v0: $i] : (sdtasdt0(xP, xP) = v0 & $i(v0) & % 20.16/3.37 sdtlseqdt0(v0, xN)) % 20.16/3.37 % 20.16/3.37 (m__2104) % 20.16/3.37 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 20.16/3.37 $i] : ? [v4: $i] : (sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) = v0 & % 20.16/3.37 sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0, v0) = v1 & % 20.16/3.37 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & sdtlseqdt0(v1, v4)) % 20.16/3.37 % 20.16/3.37 (m__2405) % 20.16/3.37 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 20.16/3.37 $i] : (sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v0 % 20.16/3.37 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & sdtlseqdt0(v1, % 20.16/3.37 v3)) % 20.16/3.37 % 20.16/3.37 (m__2590) % 20.16/3.37 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v0 % 20.16/3.37 & sdtpldt0(xR, xS) = v1 & $i(v1) & $i(v0) & ~ sdtlseqdt0(v0, v1)) % 20.16/3.37 % 20.16/3.37 (function-axioms) % 20.16/3.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.16/3.38 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 20.16/3.38 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) % 20.16/3.38 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 20.16/3.38 ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = % 20.16/3.38 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 20.16/3.38 ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: $i] : ! % 20.16/3.38 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ % 20.16/3.38 (sziznziztdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 20.16/3.38 v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0: % 20.16/3.38 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ % 20.16/3.38 (smndt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 20.16/3.38 (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 20.16/3.38 % 20.16/3.38 Further assumptions not needed in the proof: % 20.16/3.38 -------------------------------------------- % 20.16/3.38 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr2, mElmSc, mEqInit, mIH, % 20.16/3.38 mIHOrd, mLEASm, mLEMon, mLEMonM, mLERef, mLETrn, mLess, mMDNeg, mMNeg, mMulSc, % 20.16/3.38 mNatExtr, mNatSort, mNegSc, mPosMon, mSZeroSc, mScPr, mScSort, mScSqPos, % 20.16/3.38 mScZero, mSqPos, mSqrt, mSuccEqu, mSuccNat, mVcSort, mZeroNat, m__1652, m__1678, % 20.16/3.38 m__1678_01, m__1692, m__1709, m__1726, m__1746, m__1766, m__1783, m__1800, % 20.16/3.38 m__1820, m__1837, m__1854, m__1873, m__1949, m__1967 % 20.16/3.38 % 20.16/3.38 Those formulas are unsatisfiable: % 20.16/3.38 --------------------------------- % 20.16/3.38 % 20.16/3.38 Begin of proof % 20.16/3.38 | % 20.16/3.38 | ALPHA: (m__1892) implies: % 20.16/3.38 | (1) aScalar0(xR) % 20.16/3.38 | % 20.16/3.38 | ALPHA: (m__1911) implies: % 20.16/3.38 | (2) aScalar0(xP) % 20.16/3.38 | % 20.16/3.38 | ALPHA: (m__1930) implies: % 20.16/3.38 | (3) aScalar0(xS) % 20.16/3.38 | % 20.16/3.38 | ALPHA: (m__2004) implies: % 20.16/3.38 | (4) ? [v0: $i] : (sdtasdt0(xP, xP) = v0 & $i(v0) & sdtlseqdt0(v0, xN)) % 20.16/3.38 | % 20.16/3.38 | ALPHA: (m__2104) implies: % 20.16/3.38 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 20.16/3.38 | (sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) = v0 & sdtasdt0(xR, xR) = v2 % 20.16/3.38 | & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0, v0) = v1 & $i(v4) & $i(v3) & % 20.16/3.38 | $i(v2) & $i(v1) & $i(v0) & sdtlseqdt0(v1, v4)) % 20.16/3.38 | % 20.16/3.38 | ALPHA: (m__2405) implies: % 20.16/3.39 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v2, % 20.16/3.39 | v2) = v3 & sdtasdt0(v0, v0) = v1 & sdtpldt0(xP, xP) = v0 & % 20.16/3.39 | sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 20.16/3.39 | sdtlseqdt0(v1, v3)) % 20.16/3.39 | % 20.16/3.39 | ALPHA: (m__2590) implies: % 20.16/3.39 | (7) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = % 20.16/3.39 | v1 & $i(v1) & $i(v0) & ~ sdtlseqdt0(v0, v1)) % 20.16/3.39 | % 20.16/3.39 | ALPHA: (m__) implies: % 20.16/3.39 | (8) $i(xR) % 20.16/3.39 | (9) $i(xP) % 20.16/3.39 | (10) $i(xS) % 20.16/3.39 | (11) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) % 20.16/3.39 | = v0 & $i(v1) & $i(v0) & ~ sdtlseqdt0(v0, v1)) % 20.16/3.39 | % 20.16/3.39 | ALPHA: (function-axioms) implies: % 20.16/3.39 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.16/3.39 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 20.16/3.39 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.16/3.39 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 20.16/3.39 | % 20.16/3.39 | DELTA: instantiating (4) with fresh symbol all_37_0 gives: % 20.16/3.39 | (14) sdtasdt0(xP, xP) = all_37_0 & $i(all_37_0) & sdtlseqdt0(all_37_0, xN) % 20.16/3.39 | % 20.16/3.39 | ALPHA: (14) implies: % 20.16/3.39 | (15) sdtasdt0(xP, xP) = all_37_0 % 20.16/3.39 | % 20.16/3.39 | DELTA: instantiating (11) with fresh symbols all_43_0, all_43_1 gives: % 20.16/3.39 | (16) sdtpldt0(xP, xP) = all_43_0 & sdtpldt0(xR, xS) = all_43_1 & % 20.16/3.39 | $i(all_43_0) & $i(all_43_1) & ~ sdtlseqdt0(all_43_1, all_43_0) % 20.16/3.39 | % 20.16/3.39 | ALPHA: (16) implies: % 20.16/3.39 | (17) ~ sdtlseqdt0(all_43_1, all_43_0) % 20.16/3.39 | (18) sdtpldt0(xR, xS) = all_43_1 % 20.16/3.39 | (19) sdtpldt0(xP, xP) = all_43_0 % 20.16/3.39 | % 20.16/3.39 | DELTA: instantiating (7) with fresh symbols all_47_0, all_47_1 gives: % 20.16/3.39 | (20) sdtpldt0(xP, xP) = all_47_1 & sdtpldt0(xR, xS) = all_47_0 & % 20.16/3.39 | $i(all_47_0) & $i(all_47_1) & ~ sdtlseqdt0(all_47_1, all_47_0) % 20.16/3.39 | % 20.16/3.39 | ALPHA: (20) implies: % 20.16/3.39 | (21) ~ sdtlseqdt0(all_47_1, all_47_0) % 20.16/3.39 | (22) $i(all_47_0) % 20.16/3.39 | (23) sdtpldt0(xR, xS) = all_47_0 % 20.16/3.39 | (24) sdtpldt0(xP, xP) = all_47_1 % 20.16/3.39 | % 20.16/3.39 | DELTA: instantiating (6) with fresh symbols all_49_0, all_49_1, all_49_2, % 20.16/3.39 | all_49_3 gives: % 20.16/3.40 | (25) sdtasdt0(all_49_1, all_49_1) = all_49_0 & sdtasdt0(all_49_3, all_49_3) % 20.16/3.40 | = all_49_2 & sdtpldt0(xP, xP) = all_49_3 & sdtpldt0(xR, xS) = all_49_1 % 20.16/3.40 | & $i(all_49_0) & $i(all_49_1) & $i(all_49_2) & $i(all_49_3) & % 20.16/3.40 | sdtlseqdt0(all_49_2, all_49_0) % 20.16/3.40 | % 20.16/3.40 | ALPHA: (25) implies: % 20.16/3.40 | (26) sdtpldt0(xR, xS) = all_49_1 % 20.16/3.40 | (27) sdtpldt0(xP, xP) = all_49_3 % 20.16/3.40 | % 20.16/3.40 | DELTA: instantiating (5) with fresh symbols all_51_0, all_51_1, all_51_2, % 20.16/3.40 | all_51_3, all_51_4 gives: % 20.16/3.40 | (28) sdtasdt0(xS, xS) = all_51_1 & sdtasdt0(xP, xP) = all_51_4 & % 20.16/3.40 | sdtasdt0(xR, xR) = all_51_2 & sdtpldt0(all_51_2, all_51_1) = all_51_0 % 20.16/3.40 | & sdtpldt0(all_51_4, all_51_4) = all_51_3 & $i(all_51_0) & % 20.16/3.40 | $i(all_51_1) & $i(all_51_2) & $i(all_51_3) & $i(all_51_4) & % 20.16/3.40 | sdtlseqdt0(all_51_3, all_51_0) % 20.16/3.40 | % 20.16/3.40 | ALPHA: (28) implies: % 20.16/3.40 | (29) sdtpldt0(all_51_4, all_51_4) = all_51_3 % 20.16/3.40 | (30) sdtasdt0(xP, xP) = all_51_4 % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (12) with all_47_0, all_49_1, xS, xR, simplifying % 20.16/3.40 | with (23), (26) gives: % 20.16/3.40 | (31) all_49_1 = all_47_0 % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (12) with all_43_1, all_49_1, xS, xR, simplifying % 20.16/3.40 | with (18), (26) gives: % 20.16/3.40 | (32) all_49_1 = all_43_1 % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (12) with all_47_1, all_49_3, xP, xP, simplifying % 20.16/3.40 | with (24), (27) gives: % 20.16/3.40 | (33) all_49_3 = all_47_1 % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (12) with all_43_0, all_49_3, xP, xP, simplifying % 20.16/3.40 | with (19), (27) gives: % 20.16/3.40 | (34) all_49_3 = all_43_0 % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (13) with all_37_0, all_51_4, xP, xP, simplifying % 20.16/3.40 | with (15), (30) gives: % 20.16/3.40 | (35) all_51_4 = all_37_0 % 20.16/3.40 | % 20.16/3.40 | COMBINE_EQS: (31), (32) imply: % 20.16/3.40 | (36) all_47_0 = all_43_1 % 20.16/3.40 | % 20.16/3.40 | SIMP: (36) implies: % 20.16/3.40 | (37) all_47_0 = all_43_1 % 20.16/3.40 | % 20.16/3.40 | COMBINE_EQS: (33), (34) imply: % 20.16/3.40 | (38) all_47_1 = all_43_0 % 20.16/3.40 | % 20.16/3.40 | REDUCE: (29), (35) imply: % 20.16/3.40 | (39) sdtpldt0(all_37_0, all_37_0) = all_51_3 % 20.16/3.40 | % 20.16/3.40 | REDUCE: (22), (37) imply: % 20.16/3.40 | (40) $i(all_43_1) % 20.16/3.40 | % 20.16/3.40 | REDUCE: (21), (37), (38) imply: % 20.16/3.40 | (41) ~ sdtlseqdt0(all_43_0, all_43_1) % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (mSumSc) with xR, xS, all_43_1, simplifying with % 20.16/3.40 | (1), (3), (8), (10), (18) gives: % 20.16/3.40 | (42) aScalar0(all_43_1) % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (mSumSc) with xP, xP, all_43_0, simplifying with % 20.16/3.40 | (2), (9), (19) gives: % 20.16/3.40 | (43) aScalar0(all_43_0) % 20.16/3.40 | % 20.16/3.40 | GROUND_INST: instantiating (mDistr) with xP, xP, xP, all_37_0, all_37_0, % 20.16/3.40 | all_51_3, simplifying with (2), (9), (15), (39) gives: % 20.16/3.40 | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtasdt0(v1, % 20.16/3.40 | xP) = v2 & sdtasdt0(xP, v0) = all_51_3 & sdtasdt0(xP, xP) = v3 & % 20.16/3.40 | sdtpldt0(all_37_0, v3) = v2 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xP, % 20.16/3.40 | xP) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & $i(all_51_3)) % 20.16/3.40 | % 20.16/3.40 | DELTA: instantiating (44) with fresh symbols all_74_0, all_74_1, all_74_2, % 20.16/3.40 | all_74_3 gives: % 20.16/3.40 | (45) sdtasdt0(all_74_2, xP) = all_74_1 & sdtasdt0(xP, all_74_3) = all_51_3 % 20.16/3.40 | & sdtasdt0(xP, xP) = all_74_0 & sdtpldt0(all_37_0, all_74_0) = % 20.16/3.40 | all_74_1 & sdtpldt0(xP, xP) = all_74_2 & sdtpldt0(xP, xP) = all_74_3 & % 20.16/3.40 | $i(all_74_0) & $i(all_74_1) & $i(all_74_2) & $i(all_74_3) & % 20.16/3.40 | $i(all_51_3) % 20.16/3.40 | % 20.16/3.40 | ALPHA: (45) implies: % 20.16/3.40 | (46) $i(all_74_3) % 20.16/3.41 | (47) sdtpldt0(xP, xP) = all_74_3 % 20.16/3.41 | (48) sdtpldt0(xP, xP) = all_74_2 % 20.16/3.41 | % 20.16/3.41 | GROUND_INST: instantiating (12) with all_43_0, all_74_2, xP, xP, simplifying % 20.16/3.41 | with (19), (48) gives: % 20.16/3.41 | (49) all_74_2 = all_43_0 % 20.16/3.41 | % 20.16/3.41 | GROUND_INST: instantiating (12) with all_74_3, all_74_2, xP, xP, simplifying % 20.16/3.41 | with (47), (48) gives: % 20.16/3.41 | (50) all_74_2 = all_74_3 % 20.16/3.41 | % 20.16/3.41 | COMBINE_EQS: (49), (50) imply: % 20.16/3.41 | (51) all_74_3 = all_43_0 % 20.16/3.41 | % 20.16/3.41 | SIMP: (51) implies: % 20.16/3.41 | (52) all_74_3 = all_43_0 % 20.16/3.41 | % 20.16/3.41 | REDUCE: (46), (52) imply: % 20.16/3.41 | (53) $i(all_43_0) % 20.16/3.41 | % 20.16/3.41 | GROUND_INST: instantiating (mLETot) with all_43_1, all_43_0, simplifying with % 20.16/3.41 | (17), (40), (41), (42), (43), (53) gives: % 20.16/3.41 | (54) $false % 20.16/3.41 | % 20.16/3.41 | CLOSE: (54) is inconsistent. % 20.16/3.41 | % 20.16/3.41 End of proof % 20.16/3.41 % SZS output end Proof for theBenchmark % 20.16/3.41 % 20.16/3.41 2804ms %------------------------------------------------------------------------------