%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : RNG074+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 : n031.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 7.62s 1.82s % Output : Proof 14.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : RNG074+1 : TPTP v8.1.2. Released v4.0.0. % 0.12/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n031.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sun Aug 27 02:31:08 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.63 ________ _____ % 0.20/0.63 ___ __ \_________(_)________________________________ % 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.63 % 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.63 (2023-06-19) % 0.20/0.63 % 0.20/0.63 (c) Philipp Rümmer, 2009-2023 % 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.63 Amanda Stjerna. % 0.20/0.63 Free software under BSD-3-Clause. % 0.20/0.63 % 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.63 % 0.20/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.64 Running up to 7 provers in parallel. % 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.21/1.22 Prover 1: Preprocessing ... % 3.21/1.23 Prover 4: Preprocessing ... % 3.86/1.27 Prover 2: Preprocessing ... % 3.86/1.27 Prover 6: Preprocessing ... % 3.86/1.27 Prover 5: Preprocessing ... % 3.86/1.27 Prover 3: Preprocessing ... % 3.86/1.28 Prover 0: Preprocessing ... % 7.22/1.75 Prover 6: Constructing countermodel ... % 7.22/1.75 Prover 3: Constructing countermodel ... % 7.62/1.81 Prover 6: proved (1150ms) % 7.62/1.81 % 7.62/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.62/1.82 % 7.62/1.82 Prover 3: proved (1166ms) % 7.62/1.82 % 7.62/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.62/1.82 % 7.62/1.83 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.62/1.84 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.19/1.94 Prover 1: Constructing countermodel ... % 8.19/1.96 Prover 8: Preprocessing ... % 8.19/1.97 Prover 2: Constructing countermodel ... % 8.19/1.97 Prover 2: stopped % 8.19/1.98 Prover 7: Preprocessing ... % 8.19/1.98 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.56/2.04 Prover 0: Constructing countermodel ... % 8.56/2.04 Prover 0: stopped % 9.36/2.05 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.36/2.05 Prover 10: Preprocessing ... % 10.10/2.15 Prover 11: Preprocessing ... % 10.54/2.24 Prover 5: Constructing countermodel ... % 10.54/2.25 Prover 5: stopped % 11.10/2.27 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.40/2.30 Prover 10: Constructing countermodel ... % 11.40/2.31 Prover 13: Preprocessing ... % 11.66/2.34 Prover 8: Warning: ignoring some quantifiers % 11.66/2.35 Prover 8: Constructing countermodel ... % 11.66/2.37 Prover 7: Constructing countermodel ... % 12.37/2.48 Prover 1: Found proof (size 50) % 12.37/2.48 Prover 1: proved (1828ms) % 12.37/2.48 Prover 8: stopped % 12.37/2.48 Prover 10: stopped % 12.37/2.49 Prover 7: stopped % 12.80/2.51 Prover 4: Constructing countermodel ... % 12.80/2.54 Prover 4: stopped % 13.23/2.56 Prover 13: Constructing countermodel ... % 13.23/2.57 Prover 13: stopped % 13.32/2.64 Prover 11: Constructing countermodel ... % 13.32/2.66 Prover 11: stopped % 13.32/2.66 % 13.32/2.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.32/2.66 % 13.32/2.67 % SZS output start Proof for theBenchmark % 13.32/2.67 Assumptions after simplification: % 13.32/2.67 --------------------------------- % 13.32/2.67 % 13.32/2.67 (m__2405) % 13.83/2.70 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 13.83/2.70 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = % 13.83/2.70 v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & % 13.83/2.70 $i(v1) & $i(v0)) % 13.83/2.70 % 13.83/2.70 (m__2590) % 13.83/2.70 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 % 13.83/2.70 = 0) & sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) % 13.83/2.70 = v1 & $i(v1) & $i(v0)) % 13.83/2.70 % 13.83/2.70 (m__2610) % 13.83/2.70 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 % 13.83/2.70 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 13.83/2.70 % 13.83/2.70 (m__2628) % 13.83/2.70 $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) & ? [v0: $i] : ? [v1: $i] : % 13.83/2.70 (sdtlseqdt0(sz0z00, v1) = 0 & sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = % 13.83/2.70 v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 13.83/2.70 % 13.83/2.70 (m__2654) % 13.83/2.71 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 13.83/2.71 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = % 13.83/2.71 v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) & % 13.83/2.71 $i(v1) & $i(v0)) % 13.83/2.71 % 13.83/2.71 (m__2679) % 13.83/2.71 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : (sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, % 13.83/2.71 xS) = v0 & $i(v0)) % 13.83/2.71 % 13.83/2.71 (function-axioms) % 14.00/2.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.00/2.72 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 14.00/2.72 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) % 14.00/2.72 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.00/2.72 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.00/2.72 (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 14.00/2.72 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | % 14.00/2.72 ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 14.00/2.72 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 14.00/2.72 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.00/2.72 [v3: $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & % 14.00/2.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) % 14.00/2.72 | ~ (sziznziztdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.00/2.72 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ % 14.00/2.72 (aVector0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 14.00/2.72 ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0: $i] : ! % 14.00/2.72 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = % 14.00/2.72 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 14.00/2.72 $i] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0: % 14.00/2.72 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ % 14.00/2.72 (szszuzczcdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.00/2.72 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) % 14.00/2.72 | ~ (aNaturalNumber0(v2) = v0)) % 14.00/2.72 % 14.00/2.72 Further assumptions not needed in the proof: % 14.00/2.72 -------------------------------------------- % 14.00/2.72 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr, mDistr2, mElmSc, mEqInit, % 14.00/2.72 mIH, mIHOrd, mLEASm, mLEMon, mLEMonM, mLERef, mLETot, mLETrn, mLess, mMDNeg, % 14.00/2.72 mMNeg, mMulSc, mNatExtr, mNatSort, mNegSc, mPosMon, mSZeroSc, mScPr, mScSort, % 14.00/2.72 mScSqPos, mScZero, mSqPos, mSqrt, mSuccEqu, mSuccNat, mSumSc, mVcSort, mZeroNat, % 14.00/2.72 m__, m__1652, m__1678, m__1678_01, m__1692, m__1709, m__1726, m__1746, m__1766, % 14.00/2.72 m__1783, m__1800, m__1820, m__1837, m__1854, m__1873, m__1892, m__1911, m__1930, % 14.00/2.72 m__1949, m__1967, m__2004, m__2104 % 14.00/2.72 % 14.00/2.72 Those formulas are unsatisfiable: % 14.00/2.72 --------------------------------- % 14.00/2.72 % 14.00/2.72 Begin of proof % 14.00/2.72 | % 14.00/2.72 | ALPHA: (m__2405) implies: % 14.00/2.72 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtlseqdt0(v1, % 14.00/2.72 | v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 & % 14.00/2.72 | sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) & % 14.00/2.72 | $i(v1) & $i(v0)) % 14.00/2.72 | % 14.00/2.72 | ALPHA: (m__2590) implies: % 14.00/2.72 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 14.00/2.72 | sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = % 14.00/2.72 | v1 & $i(v1) & $i(v0)) % 14.00/2.72 | % 14.00/2.72 | ALPHA: (m__2610) implies: % 14.00/2.72 | (3) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtpldt0(xP, xP) % 14.00/2.72 | = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0)) % 14.00/2.72 | % 14.00/2.72 | ALPHA: (m__2628) implies: % 14.00/2.72 | (4) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(sz0z00, v1) = 0 & % 14.00/2.72 | sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) % 14.00/2.72 | = v0 & $i(v1) & $i(v0)) % 14.00/2.72 | % 14.00/2.72 | ALPHA: (m__2654) implies: % 14.00/2.72 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (sdtlseqdt0(v1, % 14.00/2.72 | v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 & % 14.00/2.72 | sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) & % 14.00/2.72 | $i(v1) & $i(v0)) % 14.00/2.72 | % 14.00/2.72 | ALPHA: (m__2679) implies: % 14.00/2.72 | (6) ? [v0: $i] : (sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v0 & $i(v0)) % 14.00/2.72 | % 14.00/2.72 | ALPHA: (function-axioms) implies: % 14.00/2.73 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.00/2.73 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 14.00/2.73 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 14.00/2.73 | ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ % 14.00/2.73 | (sdtlseqdt0(v3, v2) = v0)) % 14.00/2.73 | % 14.00/2.73 | DELTA: instantiating (6) with fresh symbol all_39_0 gives: % 14.00/2.73 | (9) sdtpldt0(xP, xP) = all_39_0 & sdtpldt0(xR, xS) = all_39_0 & % 14.00/2.73 | $i(all_39_0) % 14.00/2.73 | % 14.00/2.73 | ALPHA: (9) implies: % 14.00/2.73 | (10) sdtpldt0(xR, xS) = all_39_0 % 14.00/2.73 | (11) sdtpldt0(xP, xP) = all_39_0 % 14.00/2.73 | % 14.00/2.73 | DELTA: instantiating (3) with fresh symbols all_45_0, all_45_1 gives: % 14.00/2.73 | (12) sdtlseqdt0(all_45_1, all_45_0) = 0 & sdtpldt0(xP, xP) = all_45_0 & % 14.00/2.73 | sdtpldt0(xR, xS) = all_45_1 & $i(all_45_0) & $i(all_45_1) % 14.00/2.73 | % 14.00/2.73 | ALPHA: (12) implies: % 14.10/2.73 | (13) sdtpldt0(xR, xS) = all_45_1 % 14.10/2.73 | (14) sdtpldt0(xP, xP) = all_45_0 % 14.10/2.73 | (15) sdtlseqdt0(all_45_1, all_45_0) = 0 % 14.10/2.73 | % 14.10/2.73 | DELTA: instantiating (2) with fresh symbols all_49_0, all_49_1, all_49_2 % 14.10/2.73 | gives: % 14.10/2.73 | (16) ~ (all_49_0 = 0) & sdtlseqdt0(all_49_2, all_49_1) = all_49_0 & % 14.10/2.73 | sdtpldt0(xP, xP) = all_49_2 & sdtpldt0(xR, xS) = all_49_1 & % 14.10/2.73 | $i(all_49_1) & $i(all_49_2) % 14.10/2.73 | % 14.10/2.73 | ALPHA: (16) implies: % 14.10/2.73 | (17) ~ (all_49_0 = 0) % 14.10/2.73 | (18) sdtpldt0(xR, xS) = all_49_1 % 14.10/2.73 | (19) sdtpldt0(xP, xP) = all_49_2 % 14.10/2.73 | (20) sdtlseqdt0(all_49_2, all_49_1) = all_49_0 % 14.10/2.73 | % 14.10/2.73 | DELTA: instantiating (4) with fresh symbols all_51_0, all_51_1 gives: % 14.10/2.73 | (21) sdtlseqdt0(sz0z00, all_51_0) = 0 & sdtlseqdt0(sz0z00, all_51_1) = 0 & % 14.10/2.73 | sdtpldt0(xP, xP) = all_51_0 & sdtpldt0(xR, xS) = all_51_1 & % 14.10/2.73 | $i(all_51_0) & $i(all_51_1) % 14.10/2.73 | % 14.10/2.73 | ALPHA: (21) implies: % 14.10/2.73 | (22) sdtpldt0(xR, xS) = all_51_1 % 14.10/2.73 | (23) sdtpldt0(xP, xP) = all_51_0 % 14.10/2.73 | % 14.10/2.73 | DELTA: instantiating (1) with fresh symbols all_53_0, all_53_1, all_53_2, % 14.10/2.73 | all_53_3 gives: % 14.10/2.73 | (24) sdtlseqdt0(all_53_2, all_53_0) = 0 & sdtasdt0(all_53_1, all_53_1) = % 14.10/2.73 | all_53_0 & sdtasdt0(all_53_3, all_53_3) = all_53_2 & sdtpldt0(xP, xP) % 14.10/2.73 | = all_53_3 & sdtpldt0(xR, xS) = all_53_1 & $i(all_53_0) & $i(all_53_1) % 14.10/2.73 | & $i(all_53_2) & $i(all_53_3) % 14.10/2.73 | % 14.10/2.73 | ALPHA: (24) implies: % 14.10/2.73 | (25) sdtpldt0(xR, xS) = all_53_1 % 14.10/2.73 | (26) sdtpldt0(xP, xP) = all_53_3 % 14.10/2.73 | % 14.10/2.73 | DELTA: instantiating (5) with fresh symbols all_55_0, all_55_1, all_55_2, % 14.10/2.73 | all_55_3 gives: % 14.10/2.73 | (27) sdtlseqdt0(all_55_2, all_55_0) = 0 & sdtasdt0(all_55_1, all_55_1) = % 14.10/2.74 | all_55_0 & sdtasdt0(all_55_3, all_55_3) = all_55_2 & sdtpldt0(xP, xP) % 14.10/2.74 | = all_55_1 & sdtpldt0(xR, xS) = all_55_3 & $i(all_55_0) & $i(all_55_1) % 14.10/2.74 | & $i(all_55_2) & $i(all_55_3) % 14.10/2.74 | % 14.10/2.74 | ALPHA: (27) implies: % 14.10/2.74 | (28) sdtpldt0(xR, xS) = all_55_3 % 14.10/2.74 | (29) sdtpldt0(xP, xP) = all_55_1 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_51_1, all_53_1, xS, xR, simplifying % 14.10/2.74 | with (22), (25) gives: % 14.10/2.74 | (30) all_53_1 = all_51_1 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_49_1, all_53_1, xS, xR, simplifying % 14.10/2.74 | with (18), (25) gives: % 14.10/2.74 | (31) all_53_1 = all_49_1 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_39_0, all_53_1, xS, xR, simplifying % 14.10/2.74 | with (10), (25) gives: % 14.10/2.74 | (32) all_53_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_49_1, all_55_3, xS, xR, simplifying % 14.10/2.74 | with (18), (28) gives: % 14.10/2.74 | (33) all_55_3 = all_49_1 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_45_1, all_55_3, xS, xR, simplifying % 14.10/2.74 | with (13), (28) gives: % 14.10/2.74 | (34) all_55_3 = all_45_1 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_45_0, all_49_2, xP, xP, simplifying % 14.10/2.74 | with (14), (19) gives: % 14.10/2.74 | (35) all_49_2 = all_45_0 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_49_2, all_51_0, xP, xP, simplifying % 14.10/2.74 | with (19), (23) gives: % 14.10/2.74 | (36) all_51_0 = all_49_2 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_51_0, all_53_3, xP, xP, simplifying % 14.10/2.74 | with (23), (26) gives: % 14.10/2.74 | (37) all_53_3 = all_51_0 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_53_3, all_55_1, xP, xP, simplifying % 14.10/2.74 | with (26), (29) gives: % 14.10/2.74 | (38) all_55_1 = all_53_3 % 14.10/2.74 | % 14.10/2.74 | GROUND_INST: instantiating (7) with all_39_0, all_55_1, xP, xP, simplifying % 14.10/2.74 | with (11), (29) gives: % 14.10/2.74 | (39) all_55_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (38), (39) imply: % 14.10/2.74 | (40) all_53_3 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | SIMP: (40) implies: % 14.10/2.74 | (41) all_53_3 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (33), (34) imply: % 14.10/2.74 | (42) all_49_1 = all_45_1 % 14.10/2.74 | % 14.10/2.74 | SIMP: (42) implies: % 14.10/2.74 | (43) all_49_1 = all_45_1 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (30), (31) imply: % 14.10/2.74 | (44) all_51_1 = all_49_1 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (30), (32) imply: % 14.10/2.74 | (45) all_51_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (37), (41) imply: % 14.10/2.74 | (46) all_51_0 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | SIMP: (46) implies: % 14.10/2.74 | (47) all_51_0 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (36), (47) imply: % 14.10/2.74 | (48) all_49_2 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | SIMP: (48) implies: % 14.10/2.74 | (49) all_49_2 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (44), (45) imply: % 14.10/2.74 | (50) all_49_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | SIMP: (50) implies: % 14.10/2.74 | (51) all_49_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (43), (51) imply: % 14.10/2.74 | (52) all_45_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | SIMP: (52) implies: % 14.10/2.74 | (53) all_45_1 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | COMBINE_EQS: (35), (49) imply: % 14.10/2.74 | (54) all_45_0 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | SIMP: (54) implies: % 14.10/2.74 | (55) all_45_0 = all_39_0 % 14.10/2.74 | % 14.10/2.74 | REDUCE: (20), (49), (51) imply: % 14.10/2.74 | (56) sdtlseqdt0(all_39_0, all_39_0) = all_49_0 % 14.10/2.74 | % 14.10/2.74 | REDUCE: (15), (53), (55) imply: % 14.10/2.74 | (57) sdtlseqdt0(all_39_0, all_39_0) = 0 % 14.10/2.74 | % 14.10/2.75 | GROUND_INST: instantiating (8) with 0, all_49_0, all_39_0, all_39_0, % 14.10/2.75 | simplifying with (56), (57) gives: % 14.10/2.75 | (58) all_49_0 = 0 % 14.10/2.75 | % 14.10/2.75 | REDUCE: (17), (58) imply: % 14.10/2.75 | (59) $false % 14.10/2.75 | % 14.10/2.75 | CLOSE: (59) is inconsistent. % 14.10/2.75 | % 14.10/2.75 End of proof % 14.10/2.75 % SZS output end Proof for theBenchmark % 14.10/2.75 % 14.10/2.75 2116ms %------------------------------------------------------------------------------