%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM601+3 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n018.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 11:48:53 EDT 2023 % Result : Theorem 139.96s 19.09s % Output : Proof 140.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM601+3 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.33 % Computer : n018.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Fri Aug 25 08:14:28 EDT 2023 % 0.16/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 6.59/1.64 Prover 4: Preprocessing ... % 6.59/1.67 Prover 0: Preprocessing ... % 6.59/1.67 Prover 3: Preprocessing ... % 6.59/1.67 Prover 6: Preprocessing ... % 6.59/1.67 Prover 5: Preprocessing ... % 6.59/1.67 Prover 2: Preprocessing ... % 6.59/1.68 Prover 1: Preprocessing ... % 17.72/3.14 Prover 1: Constructing countermodel ... % 17.72/3.15 Prover 3: Constructing countermodel ... % 17.72/3.16 Prover 6: Proving ... % 19.77/3.43 Prover 5: Proving ... % 40.56/6.21 Prover 4: Constructing countermodel ... % 48.38/7.12 Prover 2: Proving ... % 49.03/7.27 Prover 0: Proving ... % 99.40/13.73 Prover 2: stopped % 99.40/13.75 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 100.50/13.96 Prover 5: stopped % 100.50/13.97 Prover 7: Preprocessing ... % 100.50/13.97 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 103.00/14.26 Prover 8: Preprocessing ... % 105.33/14.57 Prover 8: Warning: ignoring some quantifiers % 105.89/14.58 Prover 8: Constructing countermodel ... % 105.89/14.62 Prover 7: Constructing countermodel ... % 116.51/15.97 Prover 1: stopped % 116.51/15.98 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 116.51/16.15 Prover 9: Preprocessing ... % 131.13/17.88 Prover 6: stopped % 131.13/17.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 131.84/18.08 Prover 10: Preprocessing ... % 134.94/18.43 Prover 9: Constructing countermodel ... % 136.24/18.58 Prover 10: Constructing countermodel ... % 139.96/19.08 Prover 10: Found proof (size 74) % 139.96/19.08 Prover 10: proved (1186ms) % 139.96/19.08 Prover 9: stopped % 139.96/19.08 Prover 3: stopped % 139.96/19.08 Prover 7: stopped % 139.96/19.09 Prover 4: stopped % 139.96/19.09 Prover 0: stopped % 139.96/19.09 Prover 8: stopped % 139.96/19.09 % 139.96/19.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 139.96/19.09 % 139.96/19.10 % SZS output start Proof for theBenchmark % 140.49/19.11 Assumptions after simplification: % 140.49/19.11 --------------------------------- % 140.49/19.11 % 140.49/19.11 (mCountNFin_01) % 140.49/19.11 $i(slcrc0) & ( ~ isCountable0(slcrc0) | ~ aSet0(slcrc0)) % 140.49/19.11 % 140.49/19.11 (mDefEmp) % 140.49/19.11 $i(slcrc0) & aSet0(slcrc0) & ! [v0: $i] : (v0 = slcrc0 | ~ $i(v0) | ~ % 140.49/19.11 aSet0(v0) | ? [v1: $i] : ($i(v1) & aElementOf0(v1, v0))) & ! [v0: $i] : ( % 140.49/19.11 ~ $i(v0) | ~ aElementOf0(v0, slcrc0)) % 140.49/19.11 % 140.49/19.11 (mDefPtt) % 140.49/19.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ % 140.49/19.14 $i(v1) | ~ $i(v0) | ~ aFunction0(v0) | ~ aElement0(v1) | ? [v3: $i] : % 140.49/19.14 (szDzozmdt0(v0) = v3 & $i(v3) & ! [v4: $i] : ! [v5: $i] : (v5 = v1 | ~ % 140.49/19.14 (sdtlpdtrp0(v0, v4) = v5) | ~ $i(v4) | ~ $i(v2) | ~ aElementOf0(v4, % 140.49/19.14 v2)) & ! [v4: $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(v0, v4) = v5) | ~ % 140.49/19.14 $i(v4) | ~ $i(v2) | ~ aElementOf0(v4, v2) | aElementOf0(v4, v3)) & ! % 140.49/19.14 [v4: $i] : (v4 = v2 | ~ $i(v4) | ~ aSet0(v4) | ? [v5: $i] : ? [v6: $i] % 140.49/19.14 : ($i(v5) & ( ~ aElementOf0(v5, v4) | ~ aElementOf0(v5, v3) | ( ~ (v6 = % 140.49/19.14 v1) & sdtlpdtrp0(v0, v5) = v6 & $i(v6))) & (aElementOf0(v5, v4) % 140.49/19.14 | (v6 = v1 & sdtlpdtrp0(v0, v5) = v1 & aElementOf0(v5, v3))))) & ! % 140.49/19.14 [v4: $i] : ( ~ (sdtlpdtrp0(v0, v4) = v1) | ~ $i(v4) | ~ $i(v2) | ~ % 140.49/19.14 aElementOf0(v4, v3) | aElementOf0(v4, v2)) & ( ~ $i(v2) | aSet0(v2)))) % 140.49/19.14 % 140.49/19.14 (mEOfElem) % 140.49/19.14 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v1, v0) | % 140.49/19.14 ~ aSet0(v0) | aElement0(v1)) % 140.49/19.14 % 140.49/19.14 (mPttSet) % 140.49/19.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ % 140.49/19.14 $i(v1) | ~ $i(v0) | ~ aFunction0(v0) | ~ aElement0(v1) | ? [v3: $i] : % 140.49/19.14 (szDzozmdt0(v0) = v3 & $i(v3) & aSubsetOf0(v2, v3))) % 140.49/19.14 % 140.49/19.14 (mZeroLess) % 140.49/19.14 $i(sz00) & $i(szNzAzT0) & ! [v0: $i] : ( ~ $i(v0) | ~ aElementOf0(v0, % 140.49/19.14 szNzAzT0) | sdtlseqdt0(sz00, v0)) % 140.49/19.14 % 140.49/19.14 (mZeroNum) % 140.49/19.14 $i(sz00) & $i(szNzAzT0) & aElementOf0(sz00, szNzAzT0) % 140.49/19.14 % 140.49/19.14 (m__) % 140.49/19.15 $i(xO) & $i(xS) & ? [v0: $i] : ($i(v0) & aElementOf0(v0, xO) & ~ % 140.49/19.15 aSubsetOf0(xO, xS) & ~ aElementOf0(v0, xS)) % 140.49/19.15 % 140.49/19.15 (m__3291) % 140.49/19.15 $i(xT) & isFinite0(xT) & aSet0(xT) % 140.49/19.15 % 140.49/19.15 (m__3623) % 140.49/19.16 sdtlpdtrp0(xN, sz00) = xS & szDzozmdt0(xN) = szNzAzT0 & $i(xN) & $i(xS) & % 140.49/19.16 $i(sz00) & $i(szNzAzT0) & aFunction0(xN) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 140.49/19.16 $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~ (sdtlpdtrp0(xN, v0) = v1) | % 140.49/19.16 ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v4) | ~ $i(v0) % 140.49/19.16 | ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v4, v1) % 140.49/19.16 | ~ aElementOf0(v0, szNzAzT0) | ~ aElement0(v4) | aElementOf0(v4, v3)) & % 140.49/19.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v2 % 140.49/19.16 | ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, % 140.49/19.16 v2) = v3) | ~ $i(v4) | ~ $i(v0) | ~ isCountable0(v1) | ~ % 140.49/19.16 aElementOf0(v4, v1) | ~ aElementOf0(v0, szNzAzT0) | ~ aElement0(v4) | ~ % 140.49/19.16 aSet0(v1) | aElementOf0(v4, v3) | ? [v5: $i] : ($i(v5) & aElementOf0(v5, % 140.49/19.16 v1) & ~ aElementOf0(v5, szNzAzT0))) & ! [v0: $i] : ! [v1: $i] : ! % 140.49/19.16 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ % 140.49/19.16 (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v4) | ~ $i(v0) | % 140.49/19.16 ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v4, v3) | % 140.49/19.16 ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v4, v1)) & ! [v0: $i] : ! [v1: % 140.49/19.16 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xN, v0) = % 140.49/19.16 v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v4) | % 140.49/19.16 ~ $i(v0) | ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ % 140.49/19.16 aElementOf0(v4, v3) | ~ aElementOf0(v0, szNzAzT0) | aElement0(v4)) & ! % 140.49/19.16 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 140.49/19.16 (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) % 140.49/19.16 = v3) | ~ $i(v4) | ~ $i(v0) | ~ aSubsetOf0(v1, szNzAzT0) | ~ % 140.49/19.16 isCountable0(v1) | ~ aElementOf0(v4, v1) | ~ aElementOf0(v0, szNzAzT0) | % 140.49/19.16 sdtlseqdt0(v2, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 140.49/19.16 : ! [v4: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ % 140.49/19.16 (sdtmndt0(v1, v2) = v3) | ~ $i(v4) | ~ $i(v0) | ~ isCountable0(v1) | ~ % 140.49/19.16 aElementOf0(v4, v3) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v1) | % 140.49/19.16 aElementOf0(v4, v1) | ? [v5: $i] : ($i(v5) & aElementOf0(v5, v1) & ~ % 140.49/19.16 aElementOf0(v5, szNzAzT0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 140.49/19.16 [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = % 140.49/19.16 v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v4) | ~ $i(v0) | ~ % 140.49/19.16 isCountable0(v1) | ~ aElementOf0(v4, v3) | ~ aElementOf0(v0, szNzAzT0) | % 140.49/19.16 ~ aSet0(v1) | aElement0(v4) | ? [v5: $i] : ($i(v5) & aElementOf0(v5, v1) & % 140.49/19.16 ~ aElementOf0(v5, szNzAzT0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 140.49/19.16 ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) % 140.49/19.16 = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v4) | ~ $i(v0) | ~ % 140.49/19.16 isCountable0(v1) | ~ aElementOf0(v4, v1) | ~ aElementOf0(v0, szNzAzT0) | % 140.49/19.16 ~ aSet0(v1) | sdtlseqdt0(v2, v4) | ? [v5: $i] : ($i(v5) & aElementOf0(v5, % 140.49/19.16 v1) & ~ aElementOf0(v5, szNzAzT0))) & ! [v0: $i] : ! [v1: $i] : ! % 140.49/19.16 [v2: $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = % 140.49/19.16 v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v2) | ~ $i(v0) | ~ % 140.49/19.16 aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v2, v3) | ~ % 140.49/19.16 aElementOf0(v0, szNzAzT0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 140.49/19.16 [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ % 140.49/19.16 (sdtmndt0(v1, v2) = v3) | ~ $i(v2) | ~ $i(v0) | ~ isCountable0(v1) | ~ % 140.49/19.16 aElementOf0(v2, v3) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v1) | ? [v4: % 140.49/19.16 $i] : ($i(v4) & aElementOf0(v4, v1) & ~ aElementOf0(v4, szNzAzT0))) & ! % 140.49/19.16 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = % 140.49/19.16 v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v0) | % 140.49/19.17 ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v0, % 140.49/19.17 szNzAzT0) | aElementOf0(v2, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 140.49/19.17 : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ % 140.49/19.17 (sdtmndt0(v1, v2) = v3) | ~ $i(v0) | ~ aSubsetOf0(v1, szNzAzT0) | ~ % 140.49/19.17 isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | aSet0(v3)) & ! [v0: $i] : % 140.49/19.17 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ % 140.49/19.17 (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v0) | ~ % 140.49/19.17 aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v0, % 140.49/19.17 szNzAzT0) | ? [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xN, v4) = v5 & % 140.49/19.17 szszuzczcdt0(v0) = v4 & $i(v5) & $i(v4) & aSubsetOf0(v5, v3) & % 140.49/19.17 isCountable0(v5) & aSet0(v5) & ! [v6: $i] : ( ~ $i(v6) | ~ % 140.49/19.17 aElementOf0(v6, v5) | aElementOf0(v6, v3)))) & ! [v0: $i] : ! [v1: $i] % 140.49/19.17 : ! [v2: $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ % 140.49/19.17 (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v0) | ~ % 140.49/19.17 isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v1) | % 140.49/19.17 aElementOf0(v2, v1) | ? [v4: $i] : ($i(v4) & aElementOf0(v4, v1) & ~ % 140.49/19.17 aElementOf0(v4, szNzAzT0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 140.49/19.17 [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ % 140.49/19.17 (sdtmndt0(v1, v2) = v3) | ~ $i(v0) | ~ isCountable0(v1) | ~ % 140.49/19.17 aElementOf0(v0, szNzAzT0) | ~ aSet0(v1) | aSet0(v3) | ? [v4: $i] : ($i(v4) % 140.49/19.17 & aElementOf0(v4, v1) & ~ aElementOf0(v4, szNzAzT0))) & ! [v0: $i] : ! % 140.49/19.17 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ % 140.49/19.17 (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ $i(v0) | ~ % 140.49/19.17 isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v1) | ? [v4: $i] % 140.49/19.17 : ? [v5: $i] : ? [v6: $i] : ($i(v6) & ((sdtlpdtrp0(xN, v4) = v5 & % 140.49/19.17 szszuzczcdt0(v0) = v4 & $i(v5) & $i(v4) & aSubsetOf0(v5, v3) & % 140.49/19.17 isCountable0(v5) & aSet0(v5) & ! [v7: $i] : ( ~ $i(v7) | ~ % 140.49/19.17 aElementOf0(v7, v5) | aElementOf0(v7, v3))) | (aElementOf0(v6, v1) & % 140.49/19.17 ~ aElementOf0(v6, szNzAzT0))))) % 140.49/19.17 % 140.49/19.17 (m__3754) % 140.49/19.17 $i(xN) & $i(szNzAzT0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 140.49/19.17 : ! [v4: $i] : ( ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | % 140.49/19.17 ~ $i(v4) | ~ $i(v1) | ~ $i(v0) | ~ sdtlseqdt0(v1, v0) | ~ % 140.49/19.17 aElementOf0(v4, v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, % 140.49/19.17 szNzAzT0) | aElementOf0(v4, v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 140.49/19.17 : ! [v3: $i] : ( ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | % 140.49/19.17 ~ $i(v1) | ~ $i(v0) | ~ sdtlseqdt0(v1, v0) | ~ aElementOf0(v1, szNzAzT0) % 140.49/19.17 | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v2, v3)) % 140.49/19.17 % 140.49/19.17 (m__4660) % 140.49/19.17 szDzozmdt0(xe) = szNzAzT0 & $i(xe) & $i(xN) & $i(szNzAzT0) & aFunction0(xe) & % 140.49/19.17 ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xe, v0) = v1) | ~ $i(v0) | ~ % 140.49/19.17 aElementOf0(v0, szNzAzT0) | ? [v2: $i] : (sdtlpdtrp0(xN, v0) = v2 & % 140.49/19.17 szmzizndt0(v2) = v1 & $i(v2) & $i(v1) & aElementOf0(v1, v2) & ! [v3: $i] % 140.49/19.17 : ( ~ $i(v3) | ~ aElementOf0(v3, v2) | sdtlseqdt0(v1, v3)))) % 140.49/19.17 % 140.49/19.17 (m__4730) % 140.49/19.17 szDzozmdt0(xd) = szNzAzT0 & $i(xd) & $i(xC) & $i(xN) & $i(xk) & $i(szNzAzT0) & % 140.49/19.17 aFunction0(xd) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xC, v0) = v1) | % 140.49/19.17 ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : ? [v3: $i] : ? % 140.49/19.17 [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xd, v0) = v5 & sdtlpdtrp0(xN, v2) = v3 % 140.49/19.17 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & $i(v5) & $i(v4) & % 140.49/19.17 $i(v3) & $i(v2) & ! [v6: $i] : ! [v7: $i] : (v7 = v5 | ~ % 140.49/19.17 (sdtlpdtrp0(v1, v6) = v7) | ~ $i(v6) | ~ aSubsetOf0(v6, v3) | ~ % 140.49/19.17 aSet0(v6) | ? [v8: $i] : ( ~ (v8 = xk) & sbrdtbr0(v6) = v8 & $i(v8))) & % 140.49/19.17 ! [v6: $i] : ! [v7: $i] : (v7 = v5 | ~ (sdtlpdtrp0(v1, v6) = v7) | ~ % 140.49/19.17 $i(v6) | ~ aElementOf0(v6, v4) | ~ aSet0(v6)) & ! [v6: $i] : ! [v7: % 140.49/19.17 $i] : (v7 = v5 | ~ (sdtlpdtrp0(v1, v6) = v7) | ~ $i(v6) | ~ aSet0(v6) % 140.49/19.17 | ? [v8: $i] : ? [v9: $i] : ($i(v9) & (( ~ (v8 = xk) & sbrdtbr0(v6) = % 140.49/19.17 v8 & $i(v8)) | (aElementOf0(v9, v6) & ~ aElementOf0(v9, v3))))))) % 140.49/19.17 % 140.49/19.17 (m__4758) % 140.82/19.17 $i(xd) & $i(xT) & ? [v0: $i] : ? [v1: $i] : (sdtlcdtrc0(xd, v0) = v1 & % 140.82/19.17 szDzozmdt0(xd) = v0 & $i(v1) & $i(v0) & aSubsetOf0(v1, xT) & aSet0(v1) & ! % 140.82/19.17 [v2: $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v2) | ~ $i(v3) | ~ % 140.82/19.17 $i(v2) | ~ aElementOf0(v3, v0) | aElementOf0(v2, v1)) & ! [v2: $i] : ( ~ % 140.82/19.17 $i(v2) | ~ aElementOf0(v2, v1) | aElementOf0(v2, xT)) & ! [v2: $i] : ( ~ % 140.82/19.17 $i(v2) | ~ aElementOf0(v2, v1) | ? [v3: $i] : (sdtlpdtrp0(xd, v3) = v2 & % 140.82/19.17 $i(v3) & aElementOf0(v3, v0)))) % 140.82/19.17 % 140.82/19.17 (m__4854) % 140.82/19.18 $i(xd) & $i(xT) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = % 140.82/19.18 v0 & sdtlbdtrb0(xd, v0) = v1 & szDzozmdt0(xd) = v2 & $i(v2) & $i(v1) & % 140.82/19.18 $i(v0) & aElementOf0(v0, xT) & aSet0(v1) & ! [v3: $i] : ! [v4: $i] : (v4 = % 140.82/19.18 v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1)) & % 140.82/19.18 ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ % 140.82/19.18 aElementOf0(v3, v1) | aElementOf0(v3, v2)) & ! [v3: $i] : ( ~ % 140.82/19.18 (sdtlpdtrp0(xd, v3) = v0) | ~ $i(v3) | ~ aElementOf0(v3, v2) | % 140.82/19.18 aElementOf0(v3, v1))) % 140.82/19.18 % 140.82/19.18 (m__4891) % 140.82/19.18 $i(xO) & $i(xd) & $i(xe) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 140.82/19.18 (szDzizrdt0(xd) = v0 & sdtlcdtrc0(xe, v1) = xO & sdtlbdtrb0(xd, v0) = v1 & % 140.82/19.18 szDzozmdt0(xd) = v2 & $i(v2) & $i(v1) & $i(v0) & aSet0(v1) & aSet0(xO) & ! % 140.82/19.18 [v3: $i] : ! [v4: $i] : (v4 = v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) % 140.82/19.18 | ~ aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 140.82/19.18 (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1) | % 140.82/19.18 aElementOf0(v3, v2)) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xe, v4) % 140.82/19.18 = v3) | ~ $i(v4) | ~ $i(v3) | ~ aElementOf0(v4, v1) | aElementOf0(v3, % 140.82/19.18 xO)) & ! [v3: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v0) | ~ $i(v3) | ~ % 140.82/19.18 aElementOf0(v3, v2) | aElementOf0(v3, v1)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 140.82/19.18 aElementOf0(v3, xO) | ? [v4: $i] : (sdtlpdtrp0(xe, v4) = v3 & $i(v4) & % 140.82/19.18 aElementOf0(v4, v1)))) % 140.82/19.18 % 140.82/19.18 (m__4982) % 140.82/19.18 $i(xO) & $i(xd) & $i(xe) & $i(szNzAzT0) & ? [v0: $i] : ? [v1: $i] : % 140.82/19.18 (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] % 140.82/19.18 : ! [v3: $i] : ( ~ (sdtlpdtrp0(xe, v3) = v2) | ~ $i(v3) | ~ $i(v2) | ~ % 140.82/19.18 aElementOf0(v3, v1) | ? [v4: $i] : (sdtlpdtrp0(xd, v4) = v0 & % 140.82/19.18 sdtlpdtrp0(xe, v4) = v2 & $i(v4) & aElementOf0(v4, v1) & aElementOf0(v4, % 140.82/19.18 szNzAzT0))) & ! [v2: $i] : ( ~ $i(v2) | ~ aElementOf0(v2, xO) | ? % 140.82/19.18 [v3: $i] : (sdtlpdtrp0(xd, v3) = v0 & sdtlpdtrp0(xe, v3) = v2 & $i(v3) & % 140.82/19.18 aElementOf0(v3, v1) & aElementOf0(v3, szNzAzT0)))) % 140.82/19.18 % 140.82/19.18 (function-axioms) % 140.82/19.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 140.82/19.19 (sdtexdt0(v3, v2) = v1) | ~ (sdtexdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 140.82/19.19 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlcdtrc0(v3, v2) = v1) % 140.82/19.19 | ~ (sdtlcdtrc0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 140.82/19.19 ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) % 140.82/19.19 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 % 140.82/19.19 | ~ (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0)) & ! [v0: $i] % 140.82/19.19 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (slbdtsldtrb0(v3, % 140.82/19.19 v2) = v1) | ~ (slbdtsldtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 140.82/19.19 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ % 140.82/19.19 (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 140.82/19.19 $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & % 140.82/19.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szDzizrdt0(v2) = v1) | % 140.82/19.19 ~ (szDzizrdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 140.82/19.19 v0 | ~ (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0)) & ! [v0: $i] : ! % 140.82/19.19 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2) % 140.82/19.19 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 140.82/19.19 (szmzazxdt0(v2) = v1) | ~ (szmzazxdt0(v2) = v0)) & ! [v0: $i] : ! [v1: % 140.82/19.19 $i] : ! [v2: $i] : (v1 = v0 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2) % 140.82/19.19 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 140.82/19.19 (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 140.82/19.19 ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = % 140.82/19.19 v0)) % 140.82/19.19 % 140.82/19.19 Further assumptions not needed in the proof: % 140.82/19.19 -------------------------------------------- % 140.82/19.19 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS, % 140.82/19.19 mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mDefCons, % 140.82/19.19 mDefDiff, mDefMax, mDefMin, mDefRst, mDefSImg, mDefSeg, mDefSel, mDefSub, % 140.82/19.19 mDiffCons, mDirichlet, mDomSet, mElmSort, mEmpFin, mFConsSet, mFDiffSet, % 140.82/19.19 mFinRel, mFinSubSeg, mFunSort, mIH, mIHSort, mImgCount, mImgElm, mImgRng, % 140.82/19.19 mLessASymm, mLessRefl, mLessRel, mLessSucc, mLessTotal, mLessTrans, mMinMin, % 140.82/19.19 mNATSet, mNatExtra, mNatNSucc, mNoScLessZr, mSegFin, mSegLess, mSegSucc, % 140.82/19.19 mSegZero, mSelCSet, mSelExtra, mSelFSet, mSelNSet, mSelSub, mSetSort, mSubASymm, % 140.82/19.19 mSubFSet, mSubRefl, mSubTrans, mSuccEquSucc, mSuccLess, mSuccNum, m__3398, % 140.82/19.19 m__3418, m__3435, m__3453, m__3462, m__3520, m__3533, m__3671, m__3821, m__3965, % 140.82/19.19 m__4151, m__4182, m__4331, m__4411, m__4618, m__4908 % 140.82/19.19 % 140.82/19.19 Those formulas are unsatisfiable: % 140.82/19.19 --------------------------------- % 140.82/19.19 % 140.82/19.19 Begin of proof % 140.82/19.19 | % 140.82/19.19 | ALPHA: (mDefEmp) implies: % 140.82/19.19 | (1) aSet0(slcrc0) % 140.82/19.19 | % 140.82/19.19 | ALPHA: (mCountNFin_01) implies: % 140.82/19.19 | (2) ~ isCountable0(slcrc0) | ~ aSet0(slcrc0) % 140.82/19.19 | % 140.82/19.19 | ALPHA: (mZeroNum) implies: % 140.82/19.19 | (3) aElementOf0(sz00, szNzAzT0) % 140.82/19.19 | % 140.82/19.19 | ALPHA: (mZeroLess) implies: % 140.82/19.19 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | % 140.82/19.19 | sdtlseqdt0(sz00, v0)) % 140.82/19.19 | % 140.82/19.19 | ALPHA: (m__3291) implies: % 140.82/19.19 | (5) aSet0(xT) % 140.82/19.19 | % 140.82/19.19 | ALPHA: (m__3623) implies: % 140.82/19.19 | (6) $i(sz00) % 140.82/19.19 | (7) sdtlpdtrp0(xN, sz00) = xS % 140.82/19.19 | % 140.82/19.19 | ALPHA: (m__3754) implies: % 140.82/19.19 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 140.82/19.19 | ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | ~ % 140.82/19.19 | $i(v4) | ~ $i(v1) | ~ $i(v0) | ~ sdtlseqdt0(v1, v0) | ~ % 140.82/19.19 | aElementOf0(v4, v2) | ~ aElementOf0(v1, szNzAzT0) | ~ % 140.82/19.19 | aElementOf0(v0, szNzAzT0) | aElementOf0(v4, v3)) % 140.82/19.19 | % 140.82/19.19 | ALPHA: (m__4660) implies: % 140.82/19.20 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xe, v0) = v1) | ~ $i(v0) | % 140.82/19.20 | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : (sdtlpdtrp0(xN, v0) = v2 % 140.82/19.20 | & szmzizndt0(v2) = v1 & $i(v2) & $i(v1) & aElementOf0(v1, v2) & ! % 140.82/19.20 | [v3: $i] : ( ~ $i(v3) | ~ aElementOf0(v3, v2) | sdtlseqdt0(v1, % 140.82/19.20 | v3)))) % 140.82/19.20 | % 140.82/19.20 | ALPHA: (m__4730) implies: % 140.82/19.20 | (10) aFunction0(xd) % 140.82/19.20 | (11) szDzozmdt0(xd) = szNzAzT0 % 140.82/19.20 | % 140.82/19.20 | ALPHA: (m__4758) implies: % 140.82/19.20 | (12) ? [v0: $i] : ? [v1: $i] : (sdtlcdtrc0(xd, v0) = v1 & szDzozmdt0(xd) % 140.82/19.20 | = v0 & $i(v1) & $i(v0) & aSubsetOf0(v1, xT) & aSet0(v1) & ! [v2: % 140.82/19.20 | $i] : ! [v3: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v2) | ~ $i(v3) | ~ % 140.82/19.20 | $i(v2) | ~ aElementOf0(v3, v0) | aElementOf0(v2, v1)) & ! [v2: % 140.82/19.20 | $i] : ( ~ $i(v2) | ~ aElementOf0(v2, v1) | aElementOf0(v2, xT)) & % 140.82/19.20 | ! [v2: $i] : ( ~ $i(v2) | ~ aElementOf0(v2, v1) | ? [v3: $i] : % 140.82/19.20 | (sdtlpdtrp0(xd, v3) = v2 & $i(v3) & aElementOf0(v3, v0)))) % 140.82/19.20 | % 140.82/19.20 | ALPHA: (m__4854) implies: % 140.82/19.20 | (13) $i(xT) % 140.82/19.20 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = v0 & % 140.82/19.20 | sdtlbdtrb0(xd, v0) = v1 & szDzozmdt0(xd) = v2 & $i(v2) & $i(v1) & % 140.82/19.20 | $i(v0) & aElementOf0(v0, xT) & aSet0(v1) & ! [v3: $i] : ! [v4: $i] % 140.82/19.20 | : (v4 = v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ % 140.82/19.20 | aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 140.82/19.20 | (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1) | % 140.82/19.20 | aElementOf0(v3, v2)) & ! [v3: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v0) % 140.82/19.20 | | ~ $i(v3) | ~ aElementOf0(v3, v2) | aElementOf0(v3, v1))) % 140.82/19.20 | % 140.82/19.20 | ALPHA: (m__4891) implies: % 140.82/19.20 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = v0 & % 140.82/19.20 | sdtlcdtrc0(xe, v1) = xO & sdtlbdtrb0(xd, v0) = v1 & szDzozmdt0(xd) = % 140.82/19.20 | v2 & $i(v2) & $i(v1) & $i(v0) & aSet0(v1) & aSet0(xO) & ! [v3: $i] % 140.82/19.20 | : ! [v4: $i] : (v4 = v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) % 140.82/19.20 | | ~ aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 140.82/19.20 | (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1) | % 140.82/19.20 | aElementOf0(v3, v2)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 140.82/19.20 | (sdtlpdtrp0(xe, v4) = v3) | ~ $i(v4) | ~ $i(v3) | ~ % 140.82/19.20 | aElementOf0(v4, v1) | aElementOf0(v3, xO)) & ! [v3: $i] : ( ~ % 140.82/19.20 | (sdtlpdtrp0(xd, v3) = v0) | ~ $i(v3) | ~ aElementOf0(v3, v2) | % 140.82/19.20 | aElementOf0(v3, v1)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 140.82/19.20 | aElementOf0(v3, xO) | ? [v4: $i] : (sdtlpdtrp0(xe, v4) = v3 & % 140.82/19.20 | $i(v4) & aElementOf0(v4, v1)))) % 140.82/19.20 | % 140.82/19.20 | ALPHA: (m__4982) implies: % 140.82/19.20 | (16) $i(xd) % 140.82/19.20 | (17) ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0) % 140.82/19.20 | = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ % 140.82/19.20 | (sdtlpdtrp0(xe, v3) = v2) | ~ $i(v3) | ~ $i(v2) | ~ % 140.82/19.21 | aElementOf0(v3, v1) | ? [v4: $i] : (sdtlpdtrp0(xd, v4) = v0 & % 140.82/19.21 | sdtlpdtrp0(xe, v4) = v2 & $i(v4) & aElementOf0(v4, v1) & % 140.82/19.21 | aElementOf0(v4, szNzAzT0))) & ! [v2: $i] : ( ~ $i(v2) | ~ % 140.82/19.21 | aElementOf0(v2, xO) | ? [v3: $i] : (sdtlpdtrp0(xd, v3) = v0 & % 140.82/19.21 | sdtlpdtrp0(xe, v3) = v2 & $i(v3) & aElementOf0(v3, v1) & % 140.82/19.21 | aElementOf0(v3, szNzAzT0)))) % 140.82/19.21 | % 140.82/19.21 | ALPHA: (m__) implies: % 140.82/19.21 | (18) ? [v0: $i] : ($i(v0) & aElementOf0(v0, xO) & ~ aSubsetOf0(xO, xS) & % 140.82/19.21 | ~ aElementOf0(v0, xS)) % 140.82/19.21 | % 140.82/19.21 | ALPHA: (function-axioms) implies: % 140.82/19.21 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 140.82/19.21 | (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0)) % 140.82/19.21 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 140.82/19.21 | (szDzizrdt0(v2) = v1) | ~ (szDzizrdt0(v2) = v0)) % 140.82/19.21 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 140.82/19.21 | (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) % 140.82/19.21 | % 140.82/19.21 | DELTA: instantiating (18) with fresh symbol all_77_0 gives: % 140.82/19.21 | (22) $i(all_77_0) & aElementOf0(all_77_0, xO) & ~ aSubsetOf0(xO, xS) & ~ % 140.82/19.21 | aElementOf0(all_77_0, xS) % 140.82/19.21 | % 140.82/19.21 | ALPHA: (22) implies: % 140.82/19.21 | (23) ~ aElementOf0(all_77_0, xS) % 140.82/19.21 | (24) aElementOf0(all_77_0, xO) % 140.82/19.21 | (25) $i(all_77_0) % 140.82/19.21 | % 140.82/19.21 | DELTA: instantiating (12) with fresh symbols all_79_0, all_79_1 gives: % 140.82/19.21 | (26) sdtlcdtrc0(xd, all_79_1) = all_79_0 & szDzozmdt0(xd) = all_79_1 & % 140.82/19.21 | $i(all_79_0) & $i(all_79_1) & aSubsetOf0(all_79_0, xT) & % 140.82/19.21 | aSet0(all_79_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xd, v1) % 140.82/19.21 | = v0) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v1, all_79_1) | % 140.82/19.21 | aElementOf0(v0, all_79_0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 140.82/19.21 | aElementOf0(v0, all_79_0) | aElementOf0(v0, xT)) & ! [v0: $i] : ( ~ % 140.82/19.21 | $i(v0) | ~ aElementOf0(v0, all_79_0) | ? [v1: $i] : % 140.82/19.21 | (sdtlpdtrp0(xd, v1) = v0 & $i(v1) & aElementOf0(v1, all_79_1))) % 140.82/19.21 | % 140.82/19.21 | ALPHA: (26) implies: % 140.82/19.21 | (27) szDzozmdt0(xd) = all_79_1 % 140.82/19.21 | % 140.82/19.21 | DELTA: instantiating (14) with fresh symbols all_82_0, all_82_1, all_82_2 % 140.82/19.21 | gives: % 140.82/19.21 | (28) szDzizrdt0(xd) = all_82_2 & sdtlbdtrb0(xd, all_82_2) = all_82_1 & % 140.82/19.21 | szDzozmdt0(xd) = all_82_0 & $i(all_82_0) & $i(all_82_1) & $i(all_82_2) % 140.82/19.21 | & aElementOf0(all_82_2, xT) & aSet0(all_82_1) & ! [v0: $i] : ! [v1: % 140.82/19.21 | int] : (v1 = all_82_2 | ~ (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | % 140.82/19.21 | ~ aElementOf0(v0, all_82_1)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 140.82/19.21 | (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, all_82_1) % 140.82/19.21 | | aElementOf0(v0, all_82_0)) & ! [v0: $i] : ( ~ (sdtlpdtrp0(xd, v0) % 140.82/19.21 | = all_82_2) | ~ $i(v0) | ~ aElementOf0(v0, all_82_0) | % 140.82/19.21 | aElementOf0(v0, all_82_1)) % 140.82/19.21 | % 140.82/19.21 | ALPHA: (28) implies: % 140.82/19.21 | (29) aElementOf0(all_82_2, xT) % 140.82/19.21 | (30) szDzozmdt0(xd) = all_82_0 % 140.82/19.21 | (31) sdtlbdtrb0(xd, all_82_2) = all_82_1 % 140.82/19.21 | (32) szDzizrdt0(xd) = all_82_2 % 140.82/19.21 | % 140.82/19.21 | DELTA: instantiating (17) with fresh symbols all_85_0, all_85_1 gives: % 140.82/19.22 | (33) szDzizrdt0(xd) = all_85_1 & sdtlbdtrb0(xd, all_85_1) = all_85_0 & % 140.82/19.22 | $i(all_85_0) & $i(all_85_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 140.82/19.22 | (sdtlpdtrp0(xe, v1) = v0) | ~ $i(v1) | ~ $i(v0) | ~ % 140.82/19.22 | aElementOf0(v1, all_85_0) | ? [v2: $i] : (sdtlpdtrp0(xd, v2) = % 140.82/19.22 | all_85_1 & sdtlpdtrp0(xe, v2) = v0 & $i(v2) & aElementOf0(v2, % 140.82/19.22 | all_85_0) & aElementOf0(v2, szNzAzT0))) & ! [v0: $i] : ( ~ % 140.82/19.22 | $i(v0) | ~ aElementOf0(v0, xO) | ? [v1: $i] : (sdtlpdtrp0(xd, v1) % 140.82/19.22 | = all_85_1 & sdtlpdtrp0(xe, v1) = v0 & $i(v1) & aElementOf0(v1, % 140.82/19.22 | all_85_0) & aElementOf0(v1, szNzAzT0))) % 140.82/19.22 | % 140.82/19.22 | ALPHA: (33) implies: % 140.82/19.22 | (34) $i(all_85_1) % 140.82/19.22 | (35) $i(all_85_0) % 140.82/19.22 | (36) sdtlbdtrb0(xd, all_85_1) = all_85_0 % 140.82/19.22 | (37) szDzizrdt0(xd) = all_85_1 % 140.82/19.22 | (38) ! [v0: $i] : ( ~ $i(v0) | ~ aElementOf0(v0, xO) | ? [v1: $i] : % 140.82/19.22 | (sdtlpdtrp0(xd, v1) = all_85_1 & sdtlpdtrp0(xe, v1) = v0 & $i(v1) & % 140.82/19.22 | aElementOf0(v1, all_85_0) & aElementOf0(v1, szNzAzT0))) % 140.82/19.22 | % 140.82/19.22 | DELTA: instantiating (15) with fresh symbols all_88_0, all_88_1, all_88_2 % 140.82/19.22 | gives: % 140.82/19.22 | (39) szDzizrdt0(xd) = all_88_2 & sdtlcdtrc0(xe, all_88_1) = xO & % 140.82/19.22 | sdtlbdtrb0(xd, all_88_2) = all_88_1 & szDzozmdt0(xd) = all_88_0 & % 140.82/19.22 | $i(all_88_0) & $i(all_88_1) & $i(all_88_2) & aSet0(all_88_1) & % 140.82/19.22 | aSet0(xO) & ! [v0: $i] : ! [v1: int] : (v1 = all_88_2 | ~ % 140.82/19.22 | (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, % 140.82/19.22 | all_88_1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xd, v0) = % 140.82/19.22 | v1) | ~ $i(v0) | ~ aElementOf0(v0, all_88_1) | aElementOf0(v0, % 140.82/19.22 | all_88_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xe, v1) = % 140.82/19.22 | v0) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v1, all_88_1) | % 140.82/19.22 | aElementOf0(v0, xO)) & ! [v0: $i] : ( ~ (sdtlpdtrp0(xd, v0) = % 140.82/19.22 | all_88_2) | ~ $i(v0) | ~ aElementOf0(v0, all_88_0) | % 140.82/19.22 | aElementOf0(v0, all_88_1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 140.82/19.22 | aElementOf0(v0, xO) | ? [v1: $i] : (sdtlpdtrp0(xe, v1) = v0 & % 140.82/19.22 | $i(v1) & aElementOf0(v1, all_88_1))) % 140.82/19.22 | % 140.82/19.22 | ALPHA: (39) implies: % 140.82/19.22 | (40) szDzozmdt0(xd) = all_88_0 % 140.82/19.22 | (41) sdtlbdtrb0(xd, all_88_2) = all_88_1 % 140.82/19.22 | (42) szDzizrdt0(xd) = all_88_2 % 140.82/19.22 | % 140.82/19.22 | BETA: splitting (2) gives: % 140.82/19.22 | % 140.82/19.22 | Case 1: % 140.82/19.22 | | % 140.82/19.22 | | (43) ~ aSet0(slcrc0) % 140.82/19.22 | | % 140.82/19.22 | | PRED_UNIFY: (1), (43) imply: % 140.82/19.22 | | (44) $false % 140.82/19.22 | | % 140.82/19.22 | | CLOSE: (44) is inconsistent. % 140.82/19.22 | | % 140.82/19.22 | Case 2: % 140.82/19.22 | | % 140.82/19.22 | | % 140.82/19.22 | | GROUND_INST: instantiating (19) with all_79_1, all_82_0, xd, simplifying % 140.82/19.23 | | with (27), (30) gives: % 140.82/19.23 | | (45) all_82_0 = all_79_1 % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (19) with all_82_0, all_88_0, xd, simplifying % 140.82/19.23 | | with (30), (40) gives: % 140.82/19.23 | | (46) all_88_0 = all_82_0 % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (19) with szNzAzT0, all_88_0, xd, simplifying % 140.82/19.23 | | with (11), (40) gives: % 140.82/19.23 | | (47) all_88_0 = szNzAzT0 % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (20) with all_85_1, all_88_2, xd, simplifying % 140.82/19.23 | | with (37), (42) gives: % 140.82/19.23 | | (48) all_88_2 = all_85_1 % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (20) with all_82_2, all_88_2, xd, simplifying % 140.82/19.23 | | with (32), (42) gives: % 140.82/19.23 | | (49) all_88_2 = all_82_2 % 140.82/19.23 | | % 140.82/19.23 | | COMBINE_EQS: (46), (47) imply: % 140.82/19.23 | | (50) all_82_0 = szNzAzT0 % 140.82/19.23 | | % 140.82/19.23 | | SIMP: (50) implies: % 140.82/19.23 | | (51) all_82_0 = szNzAzT0 % 140.82/19.23 | | % 140.82/19.23 | | COMBINE_EQS: (48), (49) imply: % 140.82/19.23 | | (52) all_85_1 = all_82_2 % 140.82/19.23 | | % 140.82/19.23 | | SIMP: (52) implies: % 140.82/19.23 | | (53) all_85_1 = all_82_2 % 140.82/19.23 | | % 140.82/19.23 | | COMBINE_EQS: (45), (51) imply: % 140.82/19.23 | | (54) all_79_1 = szNzAzT0 % 140.82/19.23 | | % 140.82/19.23 | | SIMP: (54) implies: % 140.82/19.23 | | (55) all_79_1 = szNzAzT0 % 140.82/19.23 | | % 140.82/19.23 | | REDUCE: (41), (49) imply: % 140.82/19.23 | | (56) sdtlbdtrb0(xd, all_82_2) = all_88_1 % 140.82/19.23 | | % 140.82/19.23 | | REDUCE: (36), (53) imply: % 140.82/19.23 | | (57) sdtlbdtrb0(xd, all_82_2) = all_85_0 % 140.82/19.23 | | % 140.82/19.23 | | REDUCE: (34), (53) imply: % 140.82/19.23 | | (58) $i(all_82_2) % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (21) with all_82_1, all_88_1, all_82_2, xd, % 140.82/19.23 | | simplifying with (31), (56) gives: % 140.82/19.23 | | (59) all_88_1 = all_82_1 % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (21) with all_85_0, all_88_1, all_82_2, xd, % 140.82/19.23 | | simplifying with (56), (57) gives: % 140.82/19.23 | | (60) all_88_1 = all_85_0 % 140.82/19.23 | | % 140.82/19.23 | | COMBINE_EQS: (59), (60) imply: % 140.82/19.23 | | (61) all_85_0 = all_82_1 % 140.82/19.23 | | % 140.82/19.23 | | SIMP: (61) implies: % 140.82/19.23 | | (62) all_85_0 = all_82_1 % 140.82/19.23 | | % 140.82/19.23 | | REDUCE: (35), (62) imply: % 140.82/19.23 | | (63) $i(all_82_1) % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (38) with all_77_0, simplifying with (24), (25) % 140.82/19.23 | | gives: % 140.82/19.23 | | (64) ? [v0: $i] : (sdtlpdtrp0(xd, v0) = all_85_1 & sdtlpdtrp0(xe, v0) = % 140.82/19.23 | | all_77_0 & $i(v0) & aElementOf0(v0, all_85_0) & aElementOf0(v0, % 140.82/19.23 | | szNzAzT0)) % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (mEOfElem) with xT, all_82_2, simplifying with % 140.82/19.23 | | (5), (13), (29), (58) gives: % 140.82/19.23 | | (65) aElement0(all_82_2) % 140.82/19.23 | | % 140.82/19.23 | | DELTA: instantiating (64) with fresh symbol all_121_0 gives: % 140.82/19.23 | | (66) sdtlpdtrp0(xd, all_121_0) = all_85_1 & sdtlpdtrp0(xe, all_121_0) = % 140.82/19.23 | | all_77_0 & $i(all_121_0) & aElementOf0(all_121_0, all_85_0) & % 140.82/19.23 | | aElementOf0(all_121_0, szNzAzT0) % 140.82/19.23 | | % 140.82/19.23 | | ALPHA: (66) implies: % 140.82/19.23 | | (67) aElementOf0(all_121_0, szNzAzT0) % 140.82/19.23 | | (68) aElementOf0(all_121_0, all_85_0) % 140.82/19.23 | | (69) $i(all_121_0) % 140.82/19.23 | | (70) sdtlpdtrp0(xe, all_121_0) = all_77_0 % 140.82/19.23 | | (71) sdtlpdtrp0(xd, all_121_0) = all_85_1 % 140.82/19.23 | | % 140.82/19.23 | | REDUCE: (53), (71) imply: % 140.82/19.23 | | (72) sdtlpdtrp0(xd, all_121_0) = all_82_2 % 140.82/19.23 | | % 140.82/19.23 | | REDUCE: (62), (68) imply: % 140.82/19.23 | | (73) aElementOf0(all_121_0, all_82_1) % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (mPttSet) with xd, all_82_2, all_82_1, % 140.82/19.23 | | simplifying with (10), (16), (31), (58), (65) gives: % 140.82/19.23 | | (74) ? [v0: $i] : (szDzozmdt0(xd) = v0 & $i(v0) & aSubsetOf0(all_82_1, % 140.82/19.23 | | v0)) % 140.82/19.23 | | % 140.82/19.23 | | GROUND_INST: instantiating (mDefPtt) with xd, all_82_2, all_82_1, % 140.82/19.23 | | simplifying with (10), (16), (31), (58), (65) gives: % 140.82/19.24 | | (75) ? [v0: $i] : (szDzozmdt0(xd) = v0 & $i(v0) & ! [v1: $i] : ! [v2: % 140.82/19.24 | | int] : (v2 = all_82_2 | ~ (sdtlpdtrp0(xd, v1) = v2) | ~ $i(v1) % 140.82/19.24 | | | ~ $i(all_82_1) | ~ aElementOf0(v1, all_82_1)) & ! [v1: $i] % 140.82/19.24 | | : ! [v2: $i] : ( ~ (sdtlpdtrp0(xd, v1) = v2) | ~ $i(v1) | ~ % 140.82/19.24 | | $i(all_82_1) | ~ aElementOf0(v1, all_82_1) | aElementOf0(v1, % 140.82/19.24 | | v0)) & ! [v1: any] : (v1 = all_82_1 | ~ $i(v1) | ~ % 140.82/19.24 | | aSet0(v1) | ? [v2: $i] : ? [v3: any] : ($i(v2) & ( ~ % 140.82/19.24 | | aElementOf0(v2, v1) | ~ aElementOf0(v2, v0) | ( ~ (v3 = % 140.82/19.24 | | all_82_2) & sdtlpdtrp0(xd, v2) = v3 & $i(v3))) & % 140.82/19.24 | | (aElementOf0(v2, v1) | (v3 = all_82_2 & sdtlpdtrp0(xd, v2) = % 140.82/19.24 | | all_82_2 & aElementOf0(v2, v0))))) & ! [v1: $i] : ( ~ % 140.82/19.24 | | (sdtlpdtrp0(xd, v1) = all_82_2) | ~ $i(v1) | ~ $i(all_82_1) | % 140.82/19.24 | | ~ aElementOf0(v1, v0) | aElementOf0(v1, all_82_1)) & ( ~ % 140.82/19.24 | | $i(all_82_1) | aSet0(all_82_1))) % 140.82/19.24 | | % 140.82/19.24 | | GROUND_INST: instantiating (4) with all_121_0, simplifying with (67), (69) % 140.82/19.24 | | gives: % 140.82/19.24 | | (76) sdtlseqdt0(sz00, all_121_0) % 140.82/19.24 | | % 140.82/19.24 | | GROUND_INST: instantiating (9) with all_121_0, all_77_0, simplifying with % 140.82/19.24 | | (67), (69), (70) gives: % 140.82/19.24 | | (77) ? [v0: $i] : (sdtlpdtrp0(xN, all_121_0) = v0 & szmzizndt0(v0) = % 140.82/19.24 | | all_77_0 & $i(v0) & $i(all_77_0) & aElementOf0(all_77_0, v0) & ! % 140.82/19.24 | | [v1: $i] : ( ~ $i(v1) | ~ aElementOf0(v1, v0) | % 140.82/19.24 | | sdtlseqdt0(all_77_0, v1))) % 140.82/19.24 | | % 140.82/19.24 | | DELTA: instantiating (74) with fresh symbol all_148_0 gives: % 140.82/19.24 | | (78) szDzozmdt0(xd) = all_148_0 & $i(all_148_0) & aSubsetOf0(all_82_1, % 140.82/19.24 | | all_148_0) % 140.82/19.24 | | % 140.82/19.24 | | ALPHA: (78) implies: % 140.82/19.24 | | (79) szDzozmdt0(xd) = all_148_0 % 140.82/19.24 | | % 140.82/19.24 | | DELTA: instantiating (77) with fresh symbol all_155_0 gives: % 140.82/19.24 | | (80) sdtlpdtrp0(xN, all_121_0) = all_155_0 & szmzizndt0(all_155_0) = % 140.82/19.24 | | all_77_0 & $i(all_155_0) & $i(all_77_0) & aElementOf0(all_77_0, % 140.82/19.24 | | all_155_0) & ! [v0: $i] : ( ~ $i(v0) | ~ aElementOf0(v0, % 140.82/19.24 | | all_155_0) | sdtlseqdt0(all_77_0, v0)) % 140.82/19.24 | | % 140.82/19.24 | | ALPHA: (80) implies: % 140.82/19.24 | | (81) aElementOf0(all_77_0, all_155_0) % 140.82/19.24 | | (82) sdtlpdtrp0(xN, all_121_0) = all_155_0 % 140.82/19.24 | | % 140.82/19.24 | | DELTA: instantiating (75) with fresh symbol all_160_0 gives: % 140.82/19.24 | | (83) szDzozmdt0(xd) = all_160_0 & $i(all_160_0) & ! [v0: $i] : ! [v1: % 140.82/19.24 | | int] : (v1 = all_82_2 | ~ (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | % 140.82/19.24 | | ~ $i(all_82_1) | ~ aElementOf0(v0, all_82_1)) & ! [v0: $i] : ! % 140.82/19.24 | | [v1: $i] : ( ~ (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | ~ % 140.82/19.24 | | $i(all_82_1) | ~ aElementOf0(v0, all_82_1) | aElementOf0(v0, % 140.82/19.24 | | all_160_0)) & ! [v0: any] : (v0 = all_82_1 | ~ $i(v0) | ~ % 140.82/19.24 | | aSet0(v0) | ? [v1: $i] : ? [v2: any] : ($i(v1) & ( ~ % 140.82/19.24 | | aElementOf0(v1, v0) | ~ aElementOf0(v1, all_160_0) | ( ~ (v2 % 140.82/19.24 | | = all_82_2) & sdtlpdtrp0(xd, v1) = v2 & $i(v2))) & % 140.82/19.24 | | (aElementOf0(v1, v0) | (v2 = all_82_2 & sdtlpdtrp0(xd, v1) = % 140.82/19.24 | | all_82_2 & aElementOf0(v1, all_160_0))))) & ! [v0: $i] : ( % 140.82/19.24 | | ~ (sdtlpdtrp0(xd, v0) = all_82_2) | ~ $i(v0) | ~ $i(all_82_1) | % 140.82/19.24 | | ~ aElementOf0(v0, all_160_0) | aElementOf0(v0, all_82_1)) & ( ~ % 140.82/19.24 | | $i(all_82_1) | aSet0(all_82_1)) % 140.82/19.24 | | % 140.82/19.24 | | ALPHA: (83) implies: % 140.82/19.24 | | (84) szDzozmdt0(xd) = all_160_0 % 140.82/19.24 | | (85) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xd, v0) = v1) | ~ % 140.82/19.24 | | $i(v0) | ~ $i(all_82_1) | ~ aElementOf0(v0, all_82_1) | % 140.82/19.24 | | aElementOf0(v0, all_160_0)) % 140.82/19.24 | | % 140.82/19.24 | | GROUND_INST: instantiating (85) with all_121_0, all_82_2, simplifying with % 140.82/19.24 | | (63), (69), (72), (73) gives: % 140.82/19.24 | | (86) aElementOf0(all_121_0, all_160_0) % 140.82/19.24 | | % 140.82/19.24 | | GROUND_INST: instantiating (19) with szNzAzT0, all_160_0, xd, simplifying % 140.82/19.24 | | with (11), (84) gives: % 140.82/19.24 | | (87) all_160_0 = szNzAzT0 % 140.82/19.24 | | % 140.82/19.24 | | GROUND_INST: instantiating (19) with all_148_0, all_160_0, xd, simplifying % 140.82/19.24 | | with (79), (84) gives: % 140.82/19.24 | | (88) all_160_0 = all_148_0 % 140.82/19.24 | | % 140.82/19.24 | | COMBINE_EQS: (87), (88) imply: % 140.82/19.24 | | (89) all_148_0 = szNzAzT0 % 140.82/19.24 | | % 140.82/19.24 | | GROUND_INST: instantiating (8) with all_121_0, sz00, all_155_0, xS, % 140.82/19.24 | | all_77_0, simplifying with (3), (6), (7), (23), (25), (67), % 140.82/19.24 | | (69), (76), (81), (82) gives: % 140.82/19.24 | | (90) $false % 140.82/19.24 | | % 140.82/19.24 | | CLOSE: (90) is inconsistent. % 140.82/19.24 | | % 140.82/19.25 | End of split % 140.82/19.25 | % 140.82/19.25 End of proof % 140.82/19.25 % SZS output end Proof for theBenchmark % 140.82/19.25 % 140.82/19.25 18638ms %------------------------------------------------------------------------------