%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM633+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 : n015.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 11:49:07 EDT 2023 % Result : Theorem 43.78s 6.62s % Output : Proof 62.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Aug 25 12:57:07 EDT 2023 % 0.12/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 6.29/1.69 Prover 1: Preprocessing ... % 6.29/1.69 Prover 4: Preprocessing ... % 6.88/1.72 Prover 0: Preprocessing ... % 6.88/1.72 Prover 3: Preprocessing ... % 6.88/1.72 Prover 5: Preprocessing ... % 6.88/1.73 Prover 6: Preprocessing ... % 6.88/1.73 Prover 2: Preprocessing ... % 18.97/3.34 Prover 1: Constructing countermodel ... % 18.97/3.35 Prover 3: Constructing countermodel ... % 18.97/3.38 Prover 6: Proving ... % 22.40/3.85 Prover 5: Proving ... % 43.66/6.62 Prover 3: proved (5989ms) % 43.66/6.62 % 43.78/6.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 43.78/6.62 % 43.78/6.62 Prover 5: stopped % 43.78/6.62 Prover 6: stopped % 43.78/6.64 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 43.78/6.64 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 43.78/6.64 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 46.02/6.93 Prover 10: Preprocessing ... % 46.02/6.94 Prover 8: Preprocessing ... % 46.02/6.97 Prover 7: Preprocessing ... % 48.91/7.30 Prover 4: Constructing countermodel ... % 50.48/7.51 Prover 8: Warning: ignoring some quantifiers % 50.48/7.55 Prover 8: Constructing countermodel ... % 52.07/7.86 Prover 10: Constructing countermodel ... % 52.07/7.90 Prover 2: Proving ... % 52.99/7.95 Prover 2: stopped % 52.99/7.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 52.99/7.98 Prover 0: Proving ... % 52.99/8.01 Prover 0: stopped % 54.40/8.03 Prover 7: Constructing countermodel ... % 54.40/8.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 55.77/8.24 Prover 13: Preprocessing ... % 56.43/8.28 Prover 11: Preprocessing ... % 60.66/8.84 Prover 10: Found proof (size 36) % 60.66/8.84 Prover 10: proved (2205ms) % 60.66/8.84 Prover 4: stopped % 60.66/8.84 Prover 7: stopped % 60.66/8.85 Prover 8: stopped % 60.66/8.85 Prover 11: stopped % 60.66/8.85 Prover 1: stopped % 61.94/9.12 Prover 13: Warning: ignoring some quantifiers % 62.01/9.21 Prover 13: Constructing countermodel ... % 62.39/9.24 Prover 13: stopped % 62.39/9.24 % 62.39/9.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 62.39/9.24 % 62.39/9.25 % SZS output start Proof for theBenchmark % 62.39/9.26 Assumptions after simplification: % 62.39/9.26 --------------------------------- % 62.39/9.26 % 62.39/9.26 (mCountNFin_01) % 62.39/9.27 $i(slcrc0) & ( ~ isCountable0(slcrc0) | ~ aSet0(slcrc0)) % 62.39/9.27 % 62.39/9.27 (mDefEmp) % 62.39/9.27 $i(slcrc0) & aSet0(slcrc0) & ! [v0: $i] : (v0 = slcrc0 | ~ $i(v0) | ~ % 62.39/9.27 aSet0(v0) | ? [v1: $i] : ($i(v1) & aElementOf0(v1, v0))) & ! [v0: $i] : ( % 62.39/9.27 ~ $i(v0) | ~ aElementOf0(v0, slcrc0)) % 62.39/9.27 % 62.39/9.27 (m__) % 62.70/9.35 $i(xO) & $i(xd) & $i(xc) & $i(xS) & $i(xK) & $i(xT) & $i(szNzAzT0) & % 62.70/9.35 $i(slcrc0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = v2 & % 62.70/9.35 szDzozmdt0(xc) = v1 & slbdtsldtrb0(xO, xK) = v0 & $i(v2) & $i(v1) & $i(v0) & % 62.70/9.35 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ % 62.70/9.35 $i(v5) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | ~ aElementOf0(v5, v3) | % 62.70/9.35 aElementOf0(v5, xS) | ? [v6: $i] : ( ~ (v6 = xK) & sbrdtbr0(v3) = v6 & % 62.70/9.35 $i(v6))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(xc, % 62.70/9.35 v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | ~ % 62.70/9.35 aElementOf0(v5, v3) | aElementOf0(v5, szNzAzT0) | ? [v6: $i] : ( ~ (v6 = % 62.70/9.35 xK) & sbrdtbr0(v3) = v6 & $i(v6))) & ! [v3: $i] : ! [v4: $i] : ! % 62.70/9.35 [v5: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ % 62.70/9.35 aElementOf0(v5, v3) | ~ aElementOf0(v3, v0) | aElementOf0(v5, xS)) & ! % 62.70/9.35 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ % 62.70/9.35 $i(v5) | ~ $i(v3) | ~ aElementOf0(v5, v3) | ~ aElementOf0(v3, v0) | % 62.70/9.35 aElementOf0(v5, szNzAzT0)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ aElementOf0(v5, v3) % 62.70/9.35 | ~ aSet0(v3) | aElementOf0(v5, xS) | ? [v6: $i] : ? [v7: $i] : ($i(v7) % 62.70/9.35 & (( ~ (v6 = xK) & sbrdtbr0(v3) = v6 & $i(v6)) | (aElementOf0(v7, v3) & % 62.70/9.35 ~ aElementOf0(v7, xO))))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] % 62.70/9.35 : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ aElementOf0(v5, % 62.70/9.35 v3) | ~ aSet0(v3) | aElementOf0(v5, szNzAzT0) | ? [v6: $i] : ? [v7: % 62.70/9.35 $i] : ($i(v7) & (( ~ (v6 = xK) & sbrdtbr0(v3) = v6 & $i(v6)) | % 62.70/9.35 (aElementOf0(v7, v3) & ~ aElementOf0(v7, xO))))) & ! [v3: $i] : ! % 62.70/9.35 [v4: $i] : ! [v5: $i] : ( ~ (slbdtsldtrb0(v4, xK) = v5) | ~ $i(v4) | ~ % 62.70/9.35 $i(v3) | ~ aSubsetOf0(v4, xS) | ~ isCountable0(v4) | ~ aElementOf0(v3, % 62.70/9.35 xT) | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v3) & sdtlpdtrp0(xc, v6) = % 62.70/9.35 v7 & sbrdtbr0(v6) = xK & $i(v7) & $i(v6) & aSubsetOf0(v6, v4) & % 62.70/9.35 aElementOf0(v6, v5) & aSet0(v6) & ! [v8: $i] : ( ~ $i(v8) | ~ % 62.70/9.35 aElementOf0(v8, v6) | aElementOf0(v8, v4)))) & ! [v3: $i] : ! [v4: % 62.70/9.35 $i] : ! [v5: $i] : ( ~ (slbdtsldtrb0(v4, xK) = v5) | ~ $i(v4) | ~ % 62.70/9.35 $i(v3) | ~ isCountable0(v4) | ~ aElementOf0(v3, xT) | ~ aSet0(v4) | ? % 62.70/9.35 [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) & $i(v6) & % 62.70/9.35 ((v7 = xK & ~ (v8 = v3) & sdtlpdtrp0(xc, v6) = v8 & sbrdtbr0(v6) = xK & % 62.70/9.35 $i(v8) & aSubsetOf0(v6, v4) & aElementOf0(v6, v5) & aSet0(v6) & ! % 62.70/9.35 [v10: $i] : ( ~ $i(v10) | ~ aElementOf0(v10, v6) | aElementOf0(v10, % 62.70/9.35 v4))) | (aElementOf0(v9, v4) & ~ aElementOf0(v9, xS))))) & ! % 62.70/9.35 [v3: $i] : ! [v4: $i] : (v4 = v2 | ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) % 62.70/9.35 | ~ aSubsetOf0(v3, xO) | ? [v5: $i] : ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 % 62.70/9.35 & $i(v5))) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~ (sdtlpdtrp0(xc, % 62.70/9.35 v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0)) & ! [v3: $i] : ! % 62.70/9.35 [v4: $i] : (v4 = v2 | ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ % 62.70/9.35 aSet0(v3) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & (( ~ (v5 = xK) & % 62.70/9.35 sbrdtbr0(v3) = v5 & $i(v5)) | (aElementOf0(v6, v3) & ~ % 62.70/9.35 aElementOf0(v6, xO))))) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | % 62.70/9.35 aSubsetOf0(v3, xS) | ? [v5: $i] : ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & % 62.70/9.35 $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | % 62.70/9.35 ~ $i(v3) | ~ aSubsetOf0(v3, xO) | aSubsetOf0(v3, szNzAzT0) | ? [v5: $i] % 62.70/9.35 : ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5))) & ! [v3: $i] : ! [v4: $i] % 62.70/9.35 : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | % 62.70/9.35 aElementOf0(v3, v1) | ? [v5: $i] : ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & % 62.70/9.35 $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | % 62.70/9.35 ~ $i(v3) | ~ aSubsetOf0(v3, xO) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & % 62.70/9.35 (aElementOf0(v6, v3) | ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5))))) & % 62.70/9.35 ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ % 62.70/9.35 aElementOf0(v3, v0) | aSubsetOf0(v3, xS)) & ! [v3: $i] : ! [v4: $i] : ( % 62.70/9.35 ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | % 62.70/9.35 aSubsetOf0(v3, szNzAzT0)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | % 62.70/9.35 aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, v3) % 62.70/9.35 = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | ? [v5: $i] : ($i(v5) & % 62.70/9.35 aElementOf0(v5, v3))) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, % 62.70/9.35 v3) = v4) | ~ $i(v3) | ~ aSet0(v3) | aSubsetOf0(v3, xS) | ? [v5: % 62.70/9.35 $i] : ? [v6: $i] : ($i(v6) & (( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & % 62.70/9.35 $i(v5)) | (aElementOf0(v6, v3) & ~ aElementOf0(v6, xO))))) & ! % 62.70/9.35 [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ % 62.70/9.35 aSet0(v3) | aSubsetOf0(v3, szNzAzT0) | ? [v5: $i] : ? [v6: $i] : ($i(v6) % 62.70/9.35 & (( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5)) | (aElementOf0(v6, v3) & % 62.70/9.35 ~ aElementOf0(v6, xO))))) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSet0(v3) | aElementOf0(v3, v1) % 62.70/9.35 | ? [v5: $i] : ? [v6: $i] : ($i(v6) & (( ~ (v5 = xK) & sbrdtbr0(v3) = v5 % 62.70/9.35 & $i(v5)) | (aElementOf0(v6, v3) & ~ aElementOf0(v6, xO))))) & ! % 62.70/9.35 [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ % 62.70/9.35 aSet0(v3) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & % 62.70/9.35 (aElementOf0(v7, v3) | ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5)) | % 62.70/9.35 (aElementOf0(v6, v3) & ~ aElementOf0(v6, xO))))) & ! [v3: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xc, slcrc0) = v3) | ~ aSubsetOf0(slcrc0, xO) | ? [v4: $i] : % 62.70/9.35 ( ~ (v4 = xK) & sbrdtbr0(slcrc0) = v4 & $i(v4))) & ! [v3: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xc, slcrc0) = v3) | ~ aElementOf0(slcrc0, v0)) & ! [v3: $i] % 62.70/9.35 : ( ~ (sdtlpdtrp0(xc, slcrc0) = v3) | ~ aSet0(slcrc0) | ? [v4: $i] : ? % 62.70/9.35 [v5: $i] : ($i(v5) & (( ~ (v4 = xK) & sbrdtbr0(slcrc0) = v4 & $i(v4)) | % 62.70/9.35 (aElementOf0(v5, slcrc0) & ~ aElementOf0(v5, xO)))))) % 62.70/9.35 % 62.70/9.35 (m__4854) % 62.70/9.35 $i(xd) & $i(xT) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = % 62.70/9.35 v0 & sdtlbdtrb0(xd, v0) = v1 & szDzozmdt0(xd) = v2 & $i(v2) & $i(v1) & % 62.70/9.35 $i(v0) & aElementOf0(v0, xT) & aSet0(v1) & ! [v3: $i] : ! [v4: $i] : (v4 = % 62.70/9.35 v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1)) & % 62.70/9.35 ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ % 62.70/9.35 aElementOf0(v3, v1) | aElementOf0(v3, v2)) & ! [v3: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xd, v3) = v0) | ~ $i(v3) | ~ aElementOf0(v3, v2) | % 62.70/9.35 aElementOf0(v3, v1))) % 62.70/9.35 % 62.70/9.35 (m__4891) % 62.70/9.35 $i(xO) & $i(xd) & $i(xe) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 62.70/9.35 (szDzizrdt0(xd) = v0 & sdtlcdtrc0(xe, v1) = xO & sdtlbdtrb0(xd, v0) = v1 & % 62.70/9.35 szDzozmdt0(xd) = v2 & $i(v2) & $i(v1) & $i(v0) & aSet0(v1) & aSet0(xO) & ! % 62.70/9.35 [v3: $i] : ! [v4: $i] : (v4 = v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) % 62.70/9.35 | ~ aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.35 (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1) | % 62.70/9.35 aElementOf0(v3, v2)) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xe, v4) % 62.70/9.35 = v3) | ~ $i(v4) | ~ $i(v3) | ~ aElementOf0(v4, v1) | aElementOf0(v3, % 62.70/9.35 xO)) & ! [v3: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v0) | ~ $i(v3) | ~ % 62.70/9.35 aElementOf0(v3, v2) | aElementOf0(v3, v1)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 62.70/9.35 aElementOf0(v3, xO) | ? [v4: $i] : (sdtlpdtrp0(xe, v4) = v3 & $i(v4) & % 62.70/9.35 aElementOf0(v4, v1)))) % 62.70/9.35 % 62.70/9.35 (m__4908) % 62.70/9.35 $i(xO) & isCountable0(xO) & aSet0(xO) % 62.70/9.35 % 62.70/9.36 (m__4982) % 62.70/9.36 $i(xO) & $i(xd) & $i(xe) & $i(szNzAzT0) & ? [v0: $i] : ? [v1: $i] : % 62.70/9.36 (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] % 62.70/9.36 : ! [v3: $i] : ( ~ (sdtlpdtrp0(xe, v3) = v2) | ~ $i(v3) | ~ $i(v2) | ~ % 62.70/9.36 aElementOf0(v3, v1) | ? [v4: $i] : (sdtlpdtrp0(xd, v4) = v0 & % 62.70/9.36 sdtlpdtrp0(xe, v4) = v2 & $i(v4) & aElementOf0(v4, v1) & aElementOf0(v4, % 62.70/9.36 szNzAzT0))) & ! [v2: $i] : ( ~ $i(v2) | ~ aElementOf0(v2, xO) | ? % 62.70/9.36 [v3: $i] : (sdtlpdtrp0(xd, v3) = v0 & sdtlpdtrp0(xe, v3) = v2 & $i(v3) & % 62.70/9.36 aElementOf0(v3, v1) & aElementOf0(v3, szNzAzT0)))) % 62.70/9.36 % 62.70/9.36 (m__4998) % 62.70/9.36 $i(xO) & $i(xS) & aSubsetOf0(xO, xS) & ! [v0: $i] : ( ~ $i(v0) | ~ % 62.70/9.36 aElementOf0(v0, xO) | aElementOf0(v0, xS)) % 62.70/9.36 % 62.70/9.36 (function-axioms) % 62.70/9.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 62.70/9.36 (sdtexdt0(v3, v2) = v1) | ~ (sdtexdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 62.70/9.36 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlcdtrc0(v3, v2) = v1) % 62.70/9.36 | ~ (sdtlcdtrc0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 62.70/9.36 ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) % 62.70/9.36 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 % 62.70/9.36 | ~ (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0)) & ! [v0: $i] % 62.70/9.36 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (slbdtsldtrb0(v3, % 62.70/9.36 v2) = v1) | ~ (slbdtsldtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 62.70/9.36 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ % 62.70/9.36 (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 62.70/9.36 $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & % 62.70/9.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szDzizrdt0(v2) = v1) | % 62.70/9.36 ~ (szDzizrdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 62.70/9.36 v0 | ~ (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0)) & ! [v0: $i] : ! % 62.70/9.36 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2) % 62.70/9.36 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 62.70/9.36 (szmzazxdt0(v2) = v1) | ~ (szmzazxdt0(v2) = v0)) & ! [v0: $i] : ! [v1: % 62.70/9.36 $i] : ! [v2: $i] : (v1 = v0 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2) % 62.70/9.36 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 62.70/9.36 (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 62.70/9.36 ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = % 62.70/9.36 v0)) % 62.70/9.36 % 62.70/9.36 Further assumptions not needed in the proof: % 62.70/9.36 -------------------------------------------- % 62.70/9.36 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS, % 62.70/9.36 mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mDefCons, % 62.70/9.36 mDefDiff, mDefMax, mDefMin, mDefPtt, mDefRst, mDefSImg, mDefSeg, mDefSel, % 62.70/9.36 mDefSub, mDiffCons, mDirichlet, mDomSet, mEOfElem, mElmSort, mEmpFin, mFConsSet, % 62.70/9.36 mFDiffSet, mFinRel, mFinSubSeg, mFunSort, mIH, mIHSort, mImgCount, mImgElm, % 62.70/9.36 mImgRng, mLessASymm, mLessRefl, mLessRel, mLessSucc, mLessTotal, mLessTrans, % 62.70/9.36 mMinMin, mNATSet, mNatExtra, mNatNSucc, mNoScLessZr, mPttSet, mSegFin, mSegLess, % 62.70/9.36 mSegSucc, mSegZero, mSelCSet, mSelExtra, mSelFSet, mSelNSet, mSelSub, mSetSort, % 62.70/9.36 mSubASymm, mSubFSet, mSubRefl, mSubTrans, mSuccEquSucc, mSuccLess, mSuccNum, % 62.70/9.36 mZeroLess, mZeroNum, m__3291, m__3398, m__3418, m__3435, m__3453, m__3462, % 62.70/9.36 m__3520, m__3533, m__3623, m__3671, m__3754, m__3821, m__3965, m__4151, m__4182, % 62.70/9.36 m__4331, m__4411, m__4618, m__4660, m__4730, m__4758 % 62.70/9.36 % 62.70/9.36 Those formulas are unsatisfiable: % 62.70/9.36 --------------------------------- % 62.70/9.36 % 62.70/9.36 Begin of proof % 62.70/9.36 | % 62.70/9.36 | ALPHA: (mDefEmp) implies: % 62.70/9.37 | (1) aSet0(slcrc0) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (mCountNFin_01) implies: % 62.70/9.37 | (2) ~ isCountable0(slcrc0) | ~ aSet0(slcrc0) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (m__4854) implies: % 62.70/9.37 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = v0 & % 62.70/9.37 | sdtlbdtrb0(xd, v0) = v1 & szDzozmdt0(xd) = v2 & $i(v2) & $i(v1) & % 62.70/9.37 | $i(v0) & aElementOf0(v0, xT) & aSet0(v1) & ! [v3: $i] : ! [v4: $i] % 62.70/9.37 | : (v4 = v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ % 62.70/9.37 | aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.37 | (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1) | % 62.70/9.37 | aElementOf0(v3, v2)) & ! [v3: $i] : ( ~ (sdtlpdtrp0(xd, v3) = v0) % 62.70/9.37 | | ~ $i(v3) | ~ aElementOf0(v3, v2) | aElementOf0(v3, v1))) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (m__4891) implies: % 62.70/9.37 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = v0 & % 62.70/9.37 | sdtlcdtrc0(xe, v1) = xO & sdtlbdtrb0(xd, v0) = v1 & szDzozmdt0(xd) = % 62.70/9.37 | v2 & $i(v2) & $i(v1) & $i(v0) & aSet0(v1) & aSet0(xO) & ! [v3: $i] : % 62.70/9.37 | ! [v4: $i] : (v4 = v0 | ~ (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | % 62.70/9.37 | ~ aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.37 | (sdtlpdtrp0(xd, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v1) | % 62.70/9.37 | aElementOf0(v3, v2)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.37 | (sdtlpdtrp0(xe, v4) = v3) | ~ $i(v4) | ~ $i(v3) | ~ % 62.70/9.37 | aElementOf0(v4, v1) | aElementOf0(v3, xO)) & ! [v3: $i] : ( ~ % 62.70/9.37 | (sdtlpdtrp0(xd, v3) = v0) | ~ $i(v3) | ~ aElementOf0(v3, v2) | % 62.70/9.37 | aElementOf0(v3, v1)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 62.70/9.37 | aElementOf0(v3, xO) | ? [v4: $i] : (sdtlpdtrp0(xe, v4) = v3 & % 62.70/9.37 | $i(v4) & aElementOf0(v4, v1)))) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (m__4908) implies: % 62.70/9.37 | (5) isCountable0(xO) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (m__4982) implies: % 62.70/9.37 | (6) ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0) = % 62.70/9.37 | v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ % 62.70/9.37 | (sdtlpdtrp0(xe, v3) = v2) | ~ $i(v3) | ~ $i(v2) | ~ % 62.70/9.37 | aElementOf0(v3, v1) | ? [v4: $i] : (sdtlpdtrp0(xd, v4) = v0 & % 62.70/9.37 | sdtlpdtrp0(xe, v4) = v2 & $i(v4) & aElementOf0(v4, v1) & % 62.70/9.37 | aElementOf0(v4, szNzAzT0))) & ! [v2: $i] : ( ~ $i(v2) | ~ % 62.70/9.37 | aElementOf0(v2, xO) | ? [v3: $i] : (sdtlpdtrp0(xd, v3) = v0 & % 62.70/9.37 | sdtlpdtrp0(xe, v3) = v2 & $i(v3) & aElementOf0(v3, v1) & % 62.70/9.37 | aElementOf0(v3, szNzAzT0)))) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (m__4998) implies: % 62.70/9.37 | (7) aSubsetOf0(xO, xS) % 62.70/9.37 | % 62.70/9.37 | ALPHA: (m__) implies: % 62.70/9.37 | (8) $i(xO) % 62.70/9.39 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (szDzizrdt0(xd) = v2 & % 62.70/9.39 | szDzozmdt0(xc) = v1 & slbdtsldtrb0(xO, xK) = v0 & $i(v2) & $i(v1) & % 62.70/9.39 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ % 62.70/9.39 | aSubsetOf0(v3, xO) | ~ aElementOf0(v5, v3) | aElementOf0(v5, xS) | % 62.70/9.39 | ? [v6: $i] : ( ~ (v6 = xK) & sbrdtbr0(v3) = v6 & $i(v6))) & ! % 62.70/9.39 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) % 62.70/9.39 | | ~ $i(v5) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | ~ % 62.70/9.39 | aElementOf0(v5, v3) | aElementOf0(v5, szNzAzT0) | ? [v6: $i] : ( ~ % 62.70/9.39 | (v6 = xK) & sbrdtbr0(v3) = v6 & $i(v6))) & ! [v3: $i] : ! [v4: % 62.70/9.39 | $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ % 62.70/9.39 | $i(v3) | ~ aElementOf0(v5, v3) | ~ aElementOf0(v3, v0) | % 62.70/9.39 | aElementOf0(v5, xS)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( % 62.70/9.39 | ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ % 62.70/9.39 | aElementOf0(v5, v3) | ~ aElementOf0(v3, v0) | aElementOf0(v5, % 62.70/9.39 | szNzAzT0)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ % 62.70/9.39 | aElementOf0(v5, v3) | ~ aSet0(v3) | aElementOf0(v5, xS) | ? [v6: % 62.70/9.39 | $i] : ? [v7: $i] : ($i(v7) & (( ~ (v6 = xK) & sbrdtbr0(v3) = v6 % 62.70/9.39 | & $i(v6)) | (aElementOf0(v7, v3) & ~ aElementOf0(v7, xO))))) % 62.70/9.39 | & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (sdtlpdtrp0(xc, v3) = % 62.70/9.39 | v4) | ~ $i(v5) | ~ $i(v3) | ~ aElementOf0(v5, v3) | ~ % 62.70/9.39 | aSet0(v3) | aElementOf0(v5, szNzAzT0) | ? [v6: $i] : ? [v7: $i] : % 62.70/9.39 | ($i(v7) & (( ~ (v6 = xK) & sbrdtbr0(v3) = v6 & $i(v6)) | % 62.70/9.39 | (aElementOf0(v7, v3) & ~ aElementOf0(v7, xO))))) & ! [v3: $i] % 62.70/9.39 | : ! [v4: $i] : ! [v5: $i] : ( ~ (slbdtsldtrb0(v4, xK) = v5) | ~ % 62.70/9.39 | $i(v4) | ~ $i(v3) | ~ aSubsetOf0(v4, xS) | ~ isCountable0(v4) | % 62.70/9.39 | ~ aElementOf0(v3, xT) | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v3) & % 62.70/9.39 | sdtlpdtrp0(xc, v6) = v7 & sbrdtbr0(v6) = xK & $i(v7) & $i(v6) & % 62.70/9.39 | aSubsetOf0(v6, v4) & aElementOf0(v6, v5) & aSet0(v6) & ! [v8: % 62.70/9.39 | $i] : ( ~ $i(v8) | ~ aElementOf0(v8, v6) | aElementOf0(v8, % 62.70/9.39 | v4)))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 62.70/9.39 | (slbdtsldtrb0(v4, xK) = v5) | ~ $i(v4) | ~ $i(v3) | ~ % 62.70/9.39 | isCountable0(v4) | ~ aElementOf0(v3, xT) | ~ aSet0(v4) | ? [v6: % 62.70/9.39 | $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v9) & $i(v6) % 62.70/9.39 | & ((v7 = xK & ~ (v8 = v3) & sdtlpdtrp0(xc, v6) = v8 & % 62.70/9.39 | sbrdtbr0(v6) = xK & $i(v8) & aSubsetOf0(v6, v4) & % 62.70/9.39 | aElementOf0(v6, v5) & aSet0(v6) & ! [v10: $i] : ( ~ $i(v10) % 62.70/9.39 | | ~ aElementOf0(v10, v6) | aElementOf0(v10, v4))) | % 62.70/9.39 | (aElementOf0(v9, v4) & ~ aElementOf0(v9, xS))))) & ! [v3: $i] % 62.70/9.39 | : ! [v4: $i] : (v4 = v2 | ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | % 62.70/9.39 | ~ aSubsetOf0(v3, xO) | ? [v5: $i] : ( ~ (v5 = xK) & sbrdtbr0(v3) % 62.70/9.39 | = v5 & $i(v5))) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0)) & % 62.70/9.39 | ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~ (sdtlpdtrp0(xc, v3) = v4) | % 62.70/9.39 | ~ $i(v3) | ~ aSet0(v3) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & (( % 62.70/9.39 | ~ (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5)) | (aElementOf0(v6, % 62.70/9.39 | v3) & ~ aElementOf0(v6, xO))))) & ! [v3: $i] : ! [v4: % 62.70/9.39 | $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSubsetOf0(v3, % 62.70/9.39 | xO) | aSubsetOf0(v3, xS) | ? [v5: $i] : ( ~ (v5 = xK) & % 62.70/9.39 | sbrdtbr0(v3) = v5 & $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | % 62.70/9.39 | aSubsetOf0(v3, szNzAzT0) | ? [v5: $i] : ( ~ (v5 = xK) & % 62.70/9.39 | sbrdtbr0(v3) = v5 & $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | % 62.70/9.39 | aElementOf0(v3, v1) | ? [v5: $i] : ( ~ (v5 = xK) & sbrdtbr0(v3) = % 62.70/9.39 | v5 & $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(xc, % 62.70/9.39 | v3) = v4) | ~ $i(v3) | ~ aSubsetOf0(v3, xO) | ? [v5: $i] : % 62.70/9.39 | ? [v6: $i] : ($i(v6) & (aElementOf0(v6, v3) | ( ~ (v5 = xK) & % 62.70/9.39 | sbrdtbr0(v3) = v5 & $i(v5))))) & ! [v3: $i] : ! [v4: $i] : % 62.70/9.39 | ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | % 62.70/9.39 | aSubsetOf0(v3, xS)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | % 62.70/9.39 | aSubsetOf0(v3, szNzAzT0)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | % 62.70/9.39 | aElementOf0(v3, v1)) & ! [v3: $i] : ! [v4: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aElementOf0(v3, v0) | ? % 62.70/9.39 | [v5: $i] : ($i(v5) & aElementOf0(v5, v3))) & ! [v3: $i] : ! [v4: % 62.70/9.39 | $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSet0(v3) | % 62.70/9.39 | aSubsetOf0(v3, xS) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & (( ~ (v5 % 62.70/9.39 | = xK) & sbrdtbr0(v3) = v5 & $i(v5)) | (aElementOf0(v6, v3) % 62.70/9.39 | & ~ aElementOf0(v6, xO))))) & ! [v3: $i] : ! [v4: $i] : ( % 62.70/9.39 | ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSet0(v3) | % 62.70/9.39 | aSubsetOf0(v3, szNzAzT0) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & (( % 62.70/9.39 | ~ (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5)) | (aElementOf0(v6, % 62.70/9.39 | v3) & ~ aElementOf0(v6, xO))))) & ! [v3: $i] : ! [v4: % 62.70/9.39 | $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSet0(v3) | % 62.70/9.39 | aElementOf0(v3, v1) | ? [v5: $i] : ? [v6: $i] : ($i(v6) & (( ~ % 62.70/9.39 | (v5 = xK) & sbrdtbr0(v3) = v5 & $i(v5)) | (aElementOf0(v6, % 62.70/9.39 | v3) & ~ aElementOf0(v6, xO))))) & ! [v3: $i] : ! [v4: % 62.70/9.39 | $i] : ( ~ (sdtlpdtrp0(xc, v3) = v4) | ~ $i(v3) | ~ aSet0(v3) | ? % 62.70/9.39 | [v5: $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & % 62.70/9.39 | (aElementOf0(v7, v3) | ( ~ (v5 = xK) & sbrdtbr0(v3) = v5 & % 62.70/9.39 | $i(v5)) | (aElementOf0(v6, v3) & ~ aElementOf0(v6, xO))))) & % 62.70/9.39 | ! [v3: $i] : ( ~ (sdtlpdtrp0(xc, slcrc0) = v3) | ~ % 62.70/9.39 | aSubsetOf0(slcrc0, xO) | ? [v4: $i] : ( ~ (v4 = xK) & % 62.70/9.39 | sbrdtbr0(slcrc0) = v4 & $i(v4))) & ! [v3: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xc, slcrc0) = v3) | ~ aElementOf0(slcrc0, v0)) & ! % 62.70/9.39 | [v3: $i] : ( ~ (sdtlpdtrp0(xc, slcrc0) = v3) | ~ aSet0(slcrc0) | ? % 62.70/9.39 | [v4: $i] : ? [v5: $i] : ($i(v5) & (( ~ (v4 = xK) & % 62.70/9.39 | sbrdtbr0(slcrc0) = v4 & $i(v4)) | (aElementOf0(v5, slcrc0) & % 62.70/9.39 | ~ aElementOf0(v5, xO)))))) % 62.70/9.39 | % 62.70/9.39 | ALPHA: (function-axioms) implies: % 62.70/9.39 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 62.70/9.39 | (szDzizrdt0(v2) = v1) | ~ (szDzizrdt0(v2) = v0)) % 62.70/9.39 | % 62.70/9.39 | DELTA: instantiating (6) with fresh symbols all_81_0, all_81_1 gives: % 62.70/9.39 | (11) szDzizrdt0(xd) = all_81_1 & sdtlbdtrb0(xd, all_81_1) = all_81_0 & % 62.70/9.39 | $i(all_81_0) & $i(all_81_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.39 | (sdtlpdtrp0(xe, v1) = v0) | ~ $i(v1) | ~ $i(v0) | ~ % 62.70/9.39 | aElementOf0(v1, all_81_0) | ? [v2: $i] : (sdtlpdtrp0(xd, v2) = % 62.70/9.39 | all_81_1 & sdtlpdtrp0(xe, v2) = v0 & $i(v2) & aElementOf0(v2, % 62.70/9.39 | all_81_0) & aElementOf0(v2, szNzAzT0))) & ! [v0: $i] : ( ~ % 62.70/9.39 | $i(v0) | ~ aElementOf0(v0, xO) | ? [v1: $i] : (sdtlpdtrp0(xd, v1) % 62.70/9.39 | = all_81_1 & sdtlpdtrp0(xe, v1) = v0 & $i(v1) & aElementOf0(v1, % 62.70/9.39 | all_81_0) & aElementOf0(v1, szNzAzT0))) % 62.70/9.39 | % 62.70/9.39 | ALPHA: (11) implies: % 62.70/9.39 | (12) szDzizrdt0(xd) = all_81_1 % 62.70/9.39 | % 62.70/9.39 | DELTA: instantiating (3) with fresh symbols all_84_0, all_84_1, all_84_2 % 62.70/9.39 | gives: % 62.70/9.40 | (13) szDzizrdt0(xd) = all_84_2 & sdtlbdtrb0(xd, all_84_2) = all_84_1 & % 62.70/9.40 | szDzozmdt0(xd) = all_84_0 & $i(all_84_0) & $i(all_84_1) & $i(all_84_2) % 62.70/9.40 | & aElementOf0(all_84_2, xT) & aSet0(all_84_1) & ! [v0: $i] : ! [v1: % 62.70/9.40 | int] : (v1 = all_84_2 | ~ (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | % 62.70/9.40 | ~ aElementOf0(v0, all_84_1)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.40 | (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, all_84_1) % 62.70/9.40 | | aElementOf0(v0, all_84_0)) & ! [v0: $i] : ( ~ (sdtlpdtrp0(xd, v0) % 62.70/9.40 | = all_84_2) | ~ $i(v0) | ~ aElementOf0(v0, all_84_0) | % 62.70/9.40 | aElementOf0(v0, all_84_1)) % 62.70/9.40 | % 62.70/9.40 | ALPHA: (13) implies: % 62.70/9.40 | (14) aElementOf0(all_84_2, xT) % 62.70/9.40 | (15) $i(all_84_2) % 62.70/9.40 | (16) szDzizrdt0(xd) = all_84_2 % 62.70/9.40 | % 62.70/9.40 | DELTA: instantiating (4) with fresh symbols all_87_0, all_87_1, all_87_2 % 62.70/9.40 | gives: % 62.70/9.40 | (17) szDzizrdt0(xd) = all_87_2 & sdtlcdtrc0(xe, all_87_1) = xO & % 62.70/9.40 | sdtlbdtrb0(xd, all_87_2) = all_87_1 & szDzozmdt0(xd) = all_87_0 & % 62.70/9.40 | $i(all_87_0) & $i(all_87_1) & $i(all_87_2) & aSet0(all_87_1) & % 62.70/9.40 | aSet0(xO) & ! [v0: $i] : ! [v1: int] : (v1 = all_87_2 | ~ % 62.70/9.40 | (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, % 62.70/9.40 | all_87_1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xd, v0) = % 62.70/9.40 | v1) | ~ $i(v0) | ~ aElementOf0(v0, all_87_1) | aElementOf0(v0, % 62.70/9.40 | all_87_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xe, v1) = % 62.70/9.40 | v0) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v1, all_87_1) | % 62.70/9.40 | aElementOf0(v0, xO)) & ! [v0: $i] : ( ~ (sdtlpdtrp0(xd, v0) = % 62.70/9.40 | all_87_2) | ~ $i(v0) | ~ aElementOf0(v0, all_87_0) | % 62.70/9.40 | aElementOf0(v0, all_87_1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 62.70/9.40 | aElementOf0(v0, xO) | ? [v1: $i] : (sdtlpdtrp0(xe, v1) = v0 & % 62.70/9.40 | $i(v1) & aElementOf0(v1, all_87_1))) % 62.70/9.40 | % 62.70/9.40 | ALPHA: (17) implies: % 62.70/9.40 | (18) szDzizrdt0(xd) = all_87_2 % 62.70/9.40 | % 62.70/9.40 | DELTA: instantiating (9) with fresh symbols all_96_0, all_96_1, all_96_2 % 62.70/9.40 | gives: % 62.70/9.41 | (19) szDzizrdt0(xd) = all_96_0 & szDzozmdt0(xc) = all_96_1 & % 62.70/9.41 | slbdtsldtrb0(xO, xK) = all_96_2 & $i(all_96_0) & $i(all_96_1) & % 62.70/9.41 | $i(all_96_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 62.70/9.41 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 62.70/9.41 | aSubsetOf0(v0, xO) | ~ aElementOf0(v2, v0) | aElementOf0(v2, xS) | % 62.70/9.41 | ? [v3: $i] : ( ~ (v3 = xK) & sbrdtbr0(v0) = v3 & $i(v3))) & ! [v0: % 62.70/9.41 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ % 62.70/9.41 | $i(v2) | ~ $i(v0) | ~ aSubsetOf0(v0, xO) | ~ aElementOf0(v2, v0) % 62.70/9.41 | | aElementOf0(v2, szNzAzT0) | ? [v3: $i] : ( ~ (v3 = xK) & % 62.70/9.41 | sbrdtbr0(v0) = v3 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 62.70/9.41 | $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 62.70/9.41 | aElementOf0(v2, v0) | ~ aElementOf0(v0, all_96_2) | aElementOf0(v2, % 62.70/9.41 | xS)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 62.70/9.41 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 62.70/9.41 | aElementOf0(v2, v0) | ~ aElementOf0(v0, all_96_2) | aElementOf0(v2, % 62.70/9.41 | szNzAzT0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 62.70/9.41 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 62.70/9.41 | aElementOf0(v2, v0) | ~ aSet0(v0) | aElementOf0(v2, xS) | ? [v3: % 62.70/9.41 | $i] : ? [v4: $i] : ($i(v4) & (( ~ (v3 = xK) & sbrdtbr0(v0) = v3 & % 62.70/9.41 | $i(v3)) | (aElementOf0(v4, v0) & ~ aElementOf0(v4, xO))))) & % 62.70/9.41 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) % 62.70/9.41 | | ~ $i(v2) | ~ $i(v0) | ~ aElementOf0(v2, v0) | ~ aSet0(v0) | % 62.70/9.41 | aElementOf0(v2, szNzAzT0) | ? [v3: $i] : ? [v4: $i] : ($i(v4) & (( % 62.70/9.41 | ~ (v3 = xK) & sbrdtbr0(v0) = v3 & $i(v3)) | (aElementOf0(v4, % 62.70/9.41 | v0) & ~ aElementOf0(v4, xO))))) & ! [v0: $i] : ! [v1: $i] % 62.70/9.41 | : ! [v2: $i] : ( ~ (slbdtsldtrb0(v1, xK) = v2) | ~ $i(v1) | ~ % 62.70/9.41 | $i(v0) | ~ aSubsetOf0(v1, xS) | ~ isCountable0(v1) | ~ % 62.70/9.41 | aElementOf0(v0, xT) | ? [v3: $i] : ? [v4: $i] : ( ~ (v4 = v0) & % 62.70/9.41 | sdtlpdtrp0(xc, v3) = v4 & sbrdtbr0(v3) = xK & $i(v4) & $i(v3) & % 62.70/9.41 | aSubsetOf0(v3, v1) & aElementOf0(v3, v2) & aSet0(v3) & ! [v5: $i] % 62.70/9.41 | : ( ~ $i(v5) | ~ aElementOf0(v5, v3) | aElementOf0(v5, v1)))) & % 62.70/9.41 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (slbdtsldtrb0(v1, xK) = % 62.70/9.41 | v2) | ~ $i(v1) | ~ $i(v0) | ~ isCountable0(v1) | ~ % 62.70/9.41 | aElementOf0(v0, xT) | ~ aSet0(v1) | ? [v3: $i] : ? [v4: $i] : ? % 62.70/9.41 | [v5: $i] : ? [v6: $i] : ($i(v6) & $i(v3) & ((v4 = xK & ~ (v5 = v0) % 62.70/9.41 | & sdtlpdtrp0(xc, v3) = v5 & sbrdtbr0(v3) = xK & $i(v5) & % 62.70/9.41 | aSubsetOf0(v3, v1) & aElementOf0(v3, v2) & aSet0(v3) & ! [v7: % 62.70/9.41 | $i] : ( ~ $i(v7) | ~ aElementOf0(v7, v3) | aElementOf0(v7, % 62.70/9.41 | v1))) | (aElementOf0(v6, v1) & ~ aElementOf0(v6, xS))))) % 62.70/9.41 | & ! [v0: $i] : ! [v1: int] : (v1 = all_96_0 | ~ (sdtlpdtrp0(xc, v0) % 62.70/9.41 | = v1) | ~ $i(v0) | ~ aSubsetOf0(v0, xO) | ? [v2: $i] : ( ~ (v2 % 62.70/9.41 | = xK) & sbrdtbr0(v0) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: % 62.70/9.41 | int] : (v1 = all_96_0 | ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | % 62.70/9.41 | ~ aElementOf0(v0, all_96_2)) & ! [v0: $i] : ! [v1: int] : (v1 = % 62.70/9.42 | all_96_0 | ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSet0(v0) | % 62.70/9.42 | ? [v2: $i] : ? [v3: $i] : ($i(v3) & (( ~ (v2 = xK) & sbrdtbr0(v0) % 62.70/9.42 | = v2 & $i(v2)) | (aElementOf0(v3, v0) & ~ aElementOf0(v3, % 62.70/9.42 | xO))))) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xc, % 62.70/9.42 | v0) = v1) | ~ $i(v0) | ~ aSubsetOf0(v0, xO) | aSubsetOf0(v0, % 62.70/9.42 | xS) | ? [v2: $i] : ( ~ (v2 = xK) & sbrdtbr0(v0) = v2 & $i(v2))) & % 62.70/9.42 | ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) % 62.70/9.42 | | ~ aSubsetOf0(v0, xO) | aSubsetOf0(v0, szNzAzT0) | ? [v2: $i] : ( % 62.70/9.42 | ~ (v2 = xK) & sbrdtbr0(v0) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: % 62.70/9.42 | $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSubsetOf0(v0, % 62.70/9.42 | xO) | aElementOf0(v0, all_96_1) | ? [v2: $i] : ( ~ (v2 = xK) & % 62.70/9.42 | sbrdtbr0(v0) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.42 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSubsetOf0(v0, xO) | ? % 62.70/9.42 | [v2: $i] : ? [v3: $i] : ($i(v3) & (aElementOf0(v3, v0) | ( ~ (v2 = % 62.70/9.42 | xK) & sbrdtbr0(v0) = v2 & $i(v2))))) & ! [v0: $i] : ! [v1: % 62.70/9.42 | $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, % 62.70/9.42 | all_96_2) | aSubsetOf0(v0, xS)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.42 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, all_96_2) % 62.70/9.42 | | aSubsetOf0(v0, szNzAzT0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.42 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, all_96_2) % 62.70/9.42 | | aElementOf0(v0, all_96_1)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.42 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, all_96_2) % 62.70/9.42 | | ? [v2: $i] : ($i(v2) & aElementOf0(v2, v0))) & ! [v0: $i] : ! % 62.70/9.42 | [v1: $i] : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSet0(v0) | % 62.70/9.42 | aSubsetOf0(v0, xS) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & (( ~ (v2 % 62.70/9.42 | = xK) & sbrdtbr0(v0) = v2 & $i(v2)) | (aElementOf0(v3, v0) & % 62.70/9.42 | ~ aElementOf0(v3, xO))))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 62.70/9.42 | (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSet0(v0) | % 62.70/9.42 | aSubsetOf0(v0, szNzAzT0) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & (( % 62.70/9.42 | ~ (v2 = xK) & sbrdtbr0(v0) = v2 & $i(v2)) | (aElementOf0(v3, % 62.70/9.42 | v0) & ~ aElementOf0(v3, xO))))) & ! [v0: $i] : ! [v1: $i] % 62.70/9.42 | : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSet0(v0) | % 62.70/9.42 | aElementOf0(v0, all_96_1) | ? [v2: $i] : ? [v3: $i] : ($i(v3) & (( % 62.70/9.42 | ~ (v2 = xK) & sbrdtbr0(v0) = v2 & $i(v2)) | (aElementOf0(v3, % 62.70/9.42 | v0) & ~ aElementOf0(v3, xO))))) & ! [v0: $i] : ! [v1: $i] % 62.70/9.42 | : ( ~ (sdtlpdtrp0(xc, v0) = v1) | ~ $i(v0) | ~ aSet0(v0) | ? [v2: % 62.70/9.42 | $i] : ? [v3: $i] : ? [v4: $i] : ($i(v4) & $i(v3) & % 62.70/9.42 | (aElementOf0(v4, v0) | ( ~ (v2 = xK) & sbrdtbr0(v0) = v2 & $i(v2)) % 62.70/9.42 | | (aElementOf0(v3, v0) & ~ aElementOf0(v3, xO))))) & ! [v0: % 62.70/9.42 | $i] : ( ~ (sdtlpdtrp0(xc, slcrc0) = v0) | ~ aSubsetOf0(slcrc0, xO) % 62.70/9.42 | | ? [v1: $i] : ( ~ (v1 = xK) & sbrdtbr0(slcrc0) = v1 & $i(v1))) & % 62.70/9.42 | ! [v0: $i] : ( ~ (sdtlpdtrp0(xc, slcrc0) = v0) | ~ % 62.70/9.42 | aElementOf0(slcrc0, all_96_2)) & ! [v0: $i] : ( ~ (sdtlpdtrp0(xc, % 62.70/9.42 | slcrc0) = v0) | ~ aSet0(slcrc0) | ? [v1: $i] : ? [v2: $i] : % 62.70/9.42 | ($i(v2) & (( ~ (v1 = xK) & sbrdtbr0(slcrc0) = v1 & $i(v1)) | % 62.70/9.42 | (aElementOf0(v2, slcrc0) & ~ aElementOf0(v2, xO))))) % 62.70/9.42 | % 62.70/9.42 | ALPHA: (19) implies: % 62.70/9.42 | (20) slbdtsldtrb0(xO, xK) = all_96_2 % 62.70/9.42 | (21) szDzizrdt0(xd) = all_96_0 % 62.70/9.42 | (22) ! [v0: $i] : ! [v1: int] : (v1 = all_96_0 | ~ (sdtlpdtrp0(xc, v0) = % 62.70/9.42 | v1) | ~ $i(v0) | ~ aElementOf0(v0, all_96_2)) % 62.70/9.42 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (slbdtsldtrb0(v1, xK) = % 62.70/9.42 | v2) | ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v1, xS) | ~ % 62.70/9.42 | isCountable0(v1) | ~ aElementOf0(v0, xT) | ? [v3: $i] : ? [v4: % 62.70/9.42 | $i] : ( ~ (v4 = v0) & sdtlpdtrp0(xc, v3) = v4 & sbrdtbr0(v3) = xK % 62.70/9.42 | & $i(v4) & $i(v3) & aSubsetOf0(v3, v1) & aElementOf0(v3, v2) & % 62.70/9.42 | aSet0(v3) & ! [v5: $i] : ( ~ $i(v5) | ~ aElementOf0(v5, v3) | % 62.70/9.42 | aElementOf0(v5, v1)))) % 62.70/9.42 | % 62.70/9.42 | BETA: splitting (2) gives: % 62.70/9.42 | % 62.70/9.42 | Case 1: % 62.70/9.42 | | % 62.70/9.42 | | (24) ~ aSet0(slcrc0) % 62.70/9.42 | | % 62.70/9.42 | | PRED_UNIFY: (1), (24) imply: % 62.70/9.42 | | (25) $false % 62.70/9.42 | | % 62.70/9.42 | | CLOSE: (25) is inconsistent. % 62.70/9.42 | | % 62.70/9.42 | Case 2: % 62.70/9.42 | | % 62.70/9.42 | | % 62.70/9.42 | | GROUND_INST: instantiating (10) with all_84_2, all_87_2, xd, simplifying % 62.70/9.42 | | with (16), (18) gives: % 62.70/9.42 | | (26) all_87_2 = all_84_2 % 62.70/9.42 | | % 62.70/9.42 | | GROUND_INST: instantiating (10) with all_87_2, all_96_0, xd, simplifying % 62.70/9.42 | | with (18), (21) gives: % 62.70/9.42 | | (27) all_96_0 = all_87_2 % 62.70/9.42 | | % 62.70/9.42 | | GROUND_INST: instantiating (10) with all_81_1, all_96_0, xd, simplifying % 62.70/9.42 | | with (12), (21) gives: % 62.70/9.42 | | (28) all_96_0 = all_81_1 % 62.70/9.42 | | % 62.70/9.42 | | COMBINE_EQS: (27), (28) imply: % 62.70/9.42 | | (29) all_87_2 = all_81_1 % 62.70/9.42 | | % 62.70/9.42 | | SIMP: (29) implies: % 62.70/9.42 | | (30) all_87_2 = all_81_1 % 62.70/9.42 | | % 62.70/9.42 | | COMBINE_EQS: (26), (30) imply: % 62.70/9.42 | | (31) all_84_2 = all_81_1 % 62.70/9.42 | | % 62.70/9.42 | | REDUCE: (15), (31) imply: % 62.70/9.42 | | (32) $i(all_81_1) % 62.70/9.42 | | % 62.70/9.42 | | REDUCE: (14), (31) imply: % 62.70/9.42 | | (33) aElementOf0(all_81_1, xT) % 62.70/9.42 | | % 62.70/9.42 | | GROUND_INST: instantiating (23) with all_81_1, xO, all_96_2, simplifying % 62.70/9.42 | | with (5), (7), (8), (20), (32), (33) gives: % 62.70/9.42 | | (34) ? [v0: $i] : ? [v1: any] : ( ~ (v1 = all_81_1) & sdtlpdtrp0(xc, % 62.70/9.42 | | v0) = v1 & sbrdtbr0(v0) = xK & $i(v1) & $i(v0) & aSubsetOf0(v0, % 62.70/9.42 | | xO) & aElementOf0(v0, all_96_2) & aSet0(v0) & ! [v2: $i] : ( ~ % 62.70/9.42 | | $i(v2) | ~ aElementOf0(v2, v0) | aElementOf0(v2, xO))) % 62.70/9.42 | | % 62.70/9.42 | | DELTA: instantiating (34) with fresh symbols all_119_0, all_119_1 gives: % 62.70/9.43 | | (35) ~ (all_119_0 = all_81_1) & sdtlpdtrp0(xc, all_119_1) = all_119_0 & % 62.70/9.43 | | sbrdtbr0(all_119_1) = xK & $i(all_119_0) & $i(all_119_1) & % 62.70/9.43 | | aSubsetOf0(all_119_1, xO) & aElementOf0(all_119_1, all_96_2) & % 62.70/9.43 | | aSet0(all_119_1) & ! [v0: $i] : ( ~ $i(v0) | ~ aElementOf0(v0, % 62.70/9.43 | | all_119_1) | aElementOf0(v0, xO)) % 62.70/9.43 | | % 62.70/9.43 | | ALPHA: (35) implies: % 62.70/9.43 | | (36) ~ (all_119_0 = all_81_1) % 62.70/9.43 | | (37) aElementOf0(all_119_1, all_96_2) % 62.70/9.43 | | (38) $i(all_119_1) % 62.70/9.43 | | (39) sdtlpdtrp0(xc, all_119_1) = all_119_0 % 62.70/9.43 | | % 62.70/9.43 | | GROUND_INST: instantiating (22) with all_119_1, all_119_0, simplifying with % 62.70/9.43 | | (37), (38), (39) gives: % 62.70/9.43 | | (40) all_119_0 = all_96_0 % 62.70/9.43 | | % 62.70/9.43 | | COMBINE_EQS: (28), (40) imply: % 62.70/9.43 | | (41) all_119_0 = all_81_1 % 62.70/9.43 | | % 62.70/9.43 | | REDUCE: (36), (41) imply: % 62.70/9.43 | | (42) $false % 62.70/9.43 | | % 62.70/9.43 | | CLOSE: (42) is inconsistent. % 62.70/9.43 | | % 62.70/9.43 | End of split % 62.70/9.43 | % 62.70/9.43 End of proof % 62.70/9.43 % SZS output end Proof for theBenchmark % 62.70/9.43 % 62.70/9.43 8826ms %------------------------------------------------------------------------------