%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 17:44:42 EDT 2023 % Result : Theorem 36.46s 5.64s % Output : Proof 37.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0. % 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Aug 23 18:18:43 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 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 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 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 % 2.96/1.12 Prover 4: Preprocessing ... % 2.96/1.12 Prover 1: Preprocessing ... % 2.96/1.16 Prover 5: Preprocessing ... % 2.96/1.16 Prover 0: Preprocessing ... % 2.96/1.16 Prover 6: Preprocessing ... % 2.96/1.16 Prover 2: Preprocessing ... % 2.96/1.16 Prover 3: Preprocessing ... % 6.68/1.67 Prover 1: Warning: ignoring some quantifiers % 6.68/1.68 Prover 3: Warning: ignoring some quantifiers % 6.68/1.70 Prover 5: Proving ... % 6.68/1.72 Prover 3: Constructing countermodel ... % 6.68/1.72 Prover 6: Proving ... % 6.68/1.72 Prover 1: Constructing countermodel ... % 7.65/1.82 Prover 4: Warning: ignoring some quantifiers % 7.98/1.87 Prover 2: Proving ... % 7.98/1.90 Prover 4: Constructing countermodel ... % 8.35/1.95 Prover 0: Proving ... % 13.23/2.58 Prover 3: gave up % 13.23/2.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 13.79/2.63 Prover 7: Preprocessing ... % 14.97/2.79 Prover 7: Warning: ignoring some quantifiers % 14.97/2.81 Prover 7: Constructing countermodel ... % 19.25/3.34 Prover 1: gave up % 19.25/3.37 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 19.94/3.45 Prover 8: Preprocessing ... % 20.40/3.54 Prover 8: Warning: ignoring some quantifiers % 20.89/3.57 Prover 8: Constructing countermodel ... % 27.20/4.55 Prover 8: gave up % 27.20/4.55 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 28.79/4.59 Prover 9: Preprocessing ... % 30.19/4.84 Prover 9: Warning: ignoring some quantifiers % 30.19/4.85 Prover 9: Constructing countermodel ... % 31.33/4.95 Prover 7: gave up % 31.33/4.97 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 31.33/5.00 Prover 10: Preprocessing ... % 32.25/5.08 Prover 10: Warning: ignoring some quantifiers % 32.25/5.12 Prover 10: Constructing countermodel ... % 33.62/5.24 Prover 10: gave up % 33.62/5.24 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 33.62/5.29 Prover 11: Preprocessing ... % 35.21/5.43 Prover 11: Warning: ignoring some quantifiers % 35.21/5.44 Prover 11: Constructing countermodel ... % 36.46/5.63 Prover 4: Found proof (size 303) % 36.46/5.64 Prover 4: proved (5000ms) % 36.46/5.64 Prover 11: stopped % 36.46/5.64 Prover 0: stopped % 36.46/5.64 Prover 2: stopped % 36.46/5.64 Prover 6: stopped % 36.46/5.64 Prover 9: stopped % 36.46/5.64 Prover 5: stopped % 36.46/5.64 % 36.46/5.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 36.46/5.64 % 36.46/5.66 % SZS output start Proof for theBenchmark % 36.92/5.67 Assumptions after simplification: % 36.92/5.67 --------------------------------- % 36.92/5.67 % 36.92/5.67 (cc1_relset_1) % 36.92/5.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 36.92/5.69 (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, % 36.92/5.69 v4) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | v1_relat_1(v2) = 0) % 36.92/5.69 % 36.92/5.69 (d1_funct_2) % 36.92/5.70 $i(k1_xboole_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 36.92/5.70 (k4_relset_1(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 36.92/5.70 any] : ? [v5: any] : (m2_relset_1(v2, v0, v1) = v4 & v1_funct_2(v2, v0, % 36.92/5.70 v1) = v5 & ( ~ (v4 = 0) | (( ~ (v1 = k1_xboole_0) | v0 = k1_xboole_0 | % 36.92/5.70 (( ~ (v5 = 0) | v2 = k1_xboole_0) & ( ~ (v2 = k1_xboole_0) | v5 = % 36.92/5.70 0))) & ((v1 = k1_xboole_0 & ~ (v0 = k1_xboole_0)) | (( ~ (v5 = % 36.92/5.70 0) | v3 = v0) & ( ~ (v3 = v0) | v5 = 0))))))) & ! [v0: $i] : % 36.92/5.70 ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (v1_funct_2(v2, v0, v1) = v3) | % 36.92/5.70 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : % 36.92/5.70 (k4_relset_1(v0, v1, v2) = v5 & m2_relset_1(v2, v0, v1) = v4 & $i(v5) & ( ~ % 36.92/5.70 (v4 = 0) | (( ~ (v1 = k1_xboole_0) | v0 = k1_xboole_0 | (( ~ (v3 = 0) | % 36.92/5.70 v2 = k1_xboole_0) & ( ~ (v2 = k1_xboole_0) | v3 = 0))) & ((v1 = % 36.92/5.70 k1_xboole_0 & ~ (v0 = k1_xboole_0)) | (( ~ (v5 = v0) | v3 = 0) & % 36.92/5.70 ( ~ (v3 = 0) | v5 = v0))))))) & ! [v0: $i] : ! [v1: $i] : ! % 36.92/5.70 [v2: $i] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 36.92/5.70 $i(v0) | ? [v3: any] : ? [v4: $i] : (k4_relset_1(v0, v1, v2) = v4 & % 36.92/5.70 v1_funct_2(v2, v0, v1) = v3 & $i(v4) & ( ~ (v1 = k1_xboole_0) | v0 = % 36.92/5.70 k1_xboole_0 | (( ~ (v3 = 0) | v2 = k1_xboole_0) & ( ~ (v2 = k1_xboole_0) % 36.92/5.70 | v3 = 0))) & ((v1 = k1_xboole_0 & ~ (v0 = k1_xboole_0)) | (( ~ (v4 % 36.92/5.70 = v0) | v3 = 0) & ( ~ (v3 = 0) | v4 = v0))))) % 36.92/5.70 % 36.92/5.70 (d3_relset_2) % 36.92/5.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_relset_2(v0, v1) = v2) | ~ % 36.92/5.71 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (k1_zfmisc_1(v0) = v4 & % 36.92/5.71 v1_relat_1(v1) = v3 & $i(v4) & ( ~ (v3 = 0) | ( ! [v5: $i] : ! [v6: $i] : % 36.92/5.71 ! [v7: $i] : ( ~ (k1_relat_1(v2) = v5) | ~ (k9_relat_1(v1, v6) = v7) % 36.92/5.71 | ~ $i(v6) | ~ $i(v2) | ? [v8: any] : ? [v9: any] : % 36.92/5.71 ((v1_funct_1(v2) = v9 & v1_relat_1(v2) = v8 & ( ~ (v9 = 0) | ~ (v8 % 36.92/5.71 = 0))) | (r1_tarski(v6, v0) = v8 & k1_funct_1(v2, v6) = v9 & % 36.92/5.71 $i(v9) & ( ~ (v8 = 0) | v9 = v7)))) & ! [v5: $i] : ! [v6: $i] % 36.92/5.71 : ! [v7: $i] : ( ~ (k1_relat_1(v2) = v5) | ~ (k1_funct_1(v2, v6) = % 36.92/5.71 v7) | ~ $i(v6) | ~ $i(v2) | ? [v8: any] : ? [v9: any] : % 36.92/5.71 ((v1_funct_1(v2) = v9 & v1_relat_1(v2) = v8 & ( ~ (v9 = 0) | ~ (v8 % 36.92/5.71 = 0))) | (k9_relat_1(v1, v6) = v9 & r1_tarski(v6, v0) = v8 & % 36.92/5.71 $i(v9) & ( ~ (v8 = 0) | v9 = v7)))) & ! [v5: $i] : ! [v6: $i] % 36.92/5.71 : ( ~ (k1_relat_1(v2) = v5) | ~ (r1_tarski(v6, v0) = 0) | ~ $i(v6) | % 36.92/5.71 ~ $i(v2) | ? [v7: any] : ? [v8: any] : ((v8 = v7 & k9_relat_1(v1, % 36.92/5.71 v6) = v7 & k1_funct_1(v2, v6) = v7 & $i(v7)) | (v1_funct_1(v2) % 36.92/5.71 = v8 & v1_relat_1(v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))) & ! % 36.92/5.71 [v5: $i] : (v5 = v4 | ~ (k1_relat_1(v2) = v5) | ~ $i(v2) | ? [v6: % 36.92/5.71 any] : ? [v7: any] : (v1_funct_1(v2) = v7 & v1_relat_1(v2) = v6 & % 36.92/5.71 ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v5: $i] : (v5 = v2 | ~ % 36.92/5.71 (k1_relat_1(v5) = v4) | ~ $i(v5) | ? [v6: any] : ? [v7: any] : ? % 36.92/5.71 [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : ($i(v8) & % 36.92/5.71 ((v9 = 0 & ~ (v11 = v10) & k9_relat_1(v1, v8) = v11 & % 36.92/5.71 r1_tarski(v8, v0) = 0 & k1_funct_1(v5, v8) = v10 & $i(v11) & % 36.92/5.71 $i(v10)) | (v1_funct_1(v5) = v7 & v1_relat_1(v5) = v6 & ( ~ % 36.92/5.71 (v7 = 0) | ~ (v6 = 0)))))) & ! [v5: $i] : ( ~ % 36.92/5.71 (v1_funct_1(v5) = 0) | ~ $i(v5) | ? [v6: any] : ? [v7: $i] : ? % 36.92/5.71 [v8: $i] : ? [v9: int] : ? [v10: $i] : ? [v11: $i] : % 36.92/5.71 (k1_relat_1(v5) = v7 & v1_relat_1(v5) = v6 & $i(v8) & $i(v7) & ( ~ % 36.92/5.71 (v6 = 0) | (( ~ (v7 = v4) | v5 = v2 | (v9 = 0 & ~ (v11 = v10) & % 36.92/5.71 k9_relat_1(v1, v8) = v11 & r1_tarski(v8, v0) = 0 & % 36.92/5.71 k1_funct_1(v5, v8) = v10 & $i(v11) & $i(v10))) & ( ~ (v5 = % 36.92/5.71 v2) | (v7 = v4 & ! [v12: $i] : ! [v13: $i] : ( ~ % 36.92/5.71 (k9_relat_1(v1, v12) = v13) | ~ $i(v12) | ? [v14: any] % 36.92/5.71 : ? [v15: $i] : (r1_tarski(v12, v0) = v14 & % 36.92/5.71 k1_funct_1(v2, v12) = v15 & $i(v15) & ( ~ (v14 = 0) | % 36.92/5.71 v15 = v13))) & ! [v12: $i] : ! [v13: $i] : ( ~ % 36.92/5.71 (k1_funct_1(v2, v12) = v13) | ~ $i(v12) | ? [v14: any] % 36.92/5.71 : ? [v15: $i] : (k9_relat_1(v1, v12) = v15 & % 36.92/5.71 r1_tarski(v12, v0) = v14 & $i(v15) & ( ~ (v14 = 0) | % 36.92/5.71 v15 = v13))) & ! [v12: $i] : ( ~ (r1_tarski(v12, % 36.92/5.71 v0) = 0) | ~ $i(v12) | ? [v13: $i] : % 36.92/5.71 (k9_relat_1(v1, v12) = v13 & k1_funct_1(v2, v12) = v13 & % 36.92/5.71 $i(v13))))))))) & ! [v5: $i] : ( ~ (v1_relat_1(v5) = % 36.92/5.71 0) | ~ $i(v5) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? % 36.92/5.71 [v9: int] : ? [v10: $i] : ? [v11: $i] : (k1_relat_1(v5) = v7 & % 36.92/5.71 v1_funct_1(v5) = v6 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ (v7 = % 36.92/5.71 v4) | v5 = v2 | (v9 = 0 & ~ (v11 = v10) & k9_relat_1(v1, % 36.92/5.71 v8) = v11 & r1_tarski(v8, v0) = 0 & k1_funct_1(v5, v8) = % 36.92/5.71 v10 & $i(v11) & $i(v10))) & ( ~ (v5 = v2) | (v7 = v4 & ! % 36.92/5.71 [v12: $i] : ! [v13: $i] : ( ~ (k9_relat_1(v1, v12) = v13) % 36.92/5.71 | ~ $i(v12) | ? [v14: any] : ? [v15: $i] : % 36.92/5.71 (r1_tarski(v12, v0) = v14 & k1_funct_1(v2, v12) = v15 & % 36.92/5.71 $i(v15) & ( ~ (v14 = 0) | v15 = v13))) & ! [v12: $i] % 36.92/5.71 : ! [v13: $i] : ( ~ (k1_funct_1(v2, v12) = v13) | ~ % 36.92/5.71 $i(v12) | ? [v14: any] : ? [v15: $i] : (k9_relat_1(v1, % 36.92/5.71 v12) = v15 & r1_tarski(v12, v0) = v14 & $i(v15) & ( % 36.92/5.71 ~ (v14 = 0) | v15 = v13))) & ! [v12: $i] : ( ~ % 36.92/5.71 (r1_tarski(v12, v0) = 0) | ~ $i(v12) | ? [v13: $i] : % 36.92/5.71 (k9_relat_1(v1, v12) = v13 & k1_funct_1(v2, v12) = v13 & % 36.92/5.71 $i(v13))))))))))))) % 36.92/5.71 % 36.92/5.71 (dt_k4_relset_1) % 36.92/5.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k4_relset_1(v0, % 36.92/5.71 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 36.92/5.71 [v5: $i] : ? [v6: any] : (m1_relset_1(v2, v0, v1) = v4 & k1_zfmisc_1(v0) = % 36.92/5.71 v5 & m1_subset_1(v3, v5) = v6 & $i(v5) & ( ~ (v4 = 0) | v6 = 0))) & ! % 36.92/5.71 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m1_relset_1(v2, v0, v1) = 0) | ~ % 36.92/5.71 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : % 36.92/5.71 (k4_relset_1(v0, v1, v2) = v3 & k1_zfmisc_1(v0) = v4 & m1_subset_1(v3, v4) = % 36.92/5.71 0 & $i(v4) & $i(v3))) % 36.92/5.71 % 36.92/5.71 (dt_k5_relset_2) % 36.92/5.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_relset_2(v0, v1) = v2) | ~ % 36.92/5.71 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 36.92/5.71 (v1_funct_1(v2) = v5 & v1_relat_1(v2) = v4 & v1_relat_1(v1) = v3 & ( ~ (v3 = % 36.92/5.71 0) | (v5 = 0 & v4 = 0)))) % 36.92/5.71 % 36.92/5.71 (fc1_subset_1) % 36.92/5.71 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | ? [v2: % 36.92/5.71 int] : ( ~ (v2 = 0) & v1_xboole_0(v1) = v2)) % 36.92/5.71 % 36.92/5.71 (fc5_relat_1) % 36.92/5.72 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ~ $i(v0) | % 36.92/5.72 ? [v2: any] : ? [v3: $i] : ? [v4: any] : (k1_relat_1(v0) = v3 & % 36.92/5.72 v1_relat_1(v0) = v2 & v1_xboole_0(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ % 36.92/5.72 (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (k1_relat_1(v0) = v1) | ~ % 36.92/5.72 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v0) = v3 & % 36.92/5.72 v1_xboole_0(v1) = v4 & v1_xboole_0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | % 36.92/5.72 v2 = 0))) & ! [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: % 36.92/5.72 any] : ? [v2: $i] : ? [v3: any] : (k1_relat_1(v0) = v2 & v1_xboole_0(v2) % 36.92/5.72 = v3 & v1_xboole_0(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 36.92/5.72 % 36.92/5.72 (fc6_relat_1) % 36.92/5.72 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ~ $i(v0) | % 36.92/5.72 ? [v2: any] : ? [v3: $i] : ? [v4: any] : (k2_relat_1(v0) = v3 & % 36.92/5.72 v1_relat_1(v0) = v2 & v1_xboole_0(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ % 36.92/5.72 (v2 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (k2_relat_1(v0) = v1) | ~ % 36.92/5.72 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v0) = v3 & % 36.92/5.72 v1_xboole_0(v1) = v4 & v1_xboole_0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | % 36.92/5.72 v2 = 0))) & ! [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: % 36.92/5.72 any] : ? [v2: $i] : ? [v3: any] : (k2_relat_1(v0) = v2 & v1_xboole_0(v2) % 36.92/5.72 = v3 & v1_xboole_0(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 36.92/5.72 % 36.92/5.72 (fc7_relat_1) % 36.92/5.72 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_relat_1(v0) = v1) | ~ $i(v0) | ? [v2: % 36.92/5.72 any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v1) = v4 & % 36.92/5.72 v1_xboole_0(v1) = v3 & v1_xboole_0(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 % 36.92/5.72 = 0)))) & ! [v0: $i] : ( ~ (v1_xboole_0(v0) = 0) | ~ $i(v0) | ? % 36.92/5.72 [v1: $i] : (k1_relat_1(v0) = v1 & v1_relat_1(v1) = 0 & v1_xboole_0(v1) = 0 & % 36.92/5.72 $i(v1))) % 36.92/5.72 % 36.92/5.72 (fc8_relat_1) % 36.92/5.72 ! [v0: $i] : ! [v1: $i] : ( ~ (k2_relat_1(v0) = v1) | ~ $i(v0) | ? [v2: % 36.92/5.72 any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v1) = v4 & % 36.92/5.72 v1_xboole_0(v1) = v3 & v1_xboole_0(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 % 36.92/5.72 = 0)))) & ! [v0: $i] : ( ~ (v1_xboole_0(v0) = 0) | ~ $i(v0) | ? % 36.92/5.72 [v1: $i] : (k2_relat_1(v0) = v1 & v1_relat_1(v1) = 0 & v1_xboole_0(v1) = 0 & % 36.92/5.72 $i(v1))) % 36.92/5.72 % 36.92/5.72 (rc1_subset_1) % 36.92/5.72 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ~ $i(v0) | % 36.92/5.72 ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & k1_zfmisc_1(v0) = % 36.92/5.72 v2 & m1_subset_1(v3, v2) = 0 & v1_xboole_0(v3) = v4 & $i(v3) & $i(v2))) & % 36.92/5.72 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | ? [v2: % 36.92/5.72 int] : ? [v3: $i] : ? [v4: int] : ? [v5: int] : ($i(v3) & ((v4 = 0 & ~ % 36.92/5.72 (v5 = 0) & m1_subset_1(v3, v1) = 0 & v1_xboole_0(v3) = v5) | (v2 = 0 & % 36.92/5.72 v1_xboole_0(v0) = 0)))) % 36.92/5.72 % 36.92/5.72 (rc2_relat_1) % 36.92/5.72 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & v1_relat_1(v0) = 0 & % 36.92/5.72 v1_xboole_0(v0) = v1 & $i(v0)) % 36.92/5.72 % 36.92/5.72 (rc2_subset_1) % 36.92/5.72 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | ? [v2: % 36.92/5.72 $i] : (m1_subset_1(v2, v1) = 0 & v1_xboole_0(v2) = 0 & $i(v2))) % 36.92/5.72 % 36.92/5.72 (redefinition_k4_relset_1) % 36.92/5.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k4_relset_1(v0, % 36.92/5.72 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 36.92/5.72 [v5: $i] : (m1_relset_1(v2, v0, v1) = v4 & k1_relat_1(v2) = v5 & $i(v5) & ( % 36.92/5.72 ~ (v4 = 0) | v5 = v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 36.92/5.72 (m1_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 36.92/5.72 $i] : (k1_relat_1(v2) = v3 & k4_relset_1(v0, v1, v2) = v3 & $i(v3))) % 36.92/5.72 % 36.92/5.72 (redefinition_m2_relset_1) % 36.92/5.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 36.92/5.72 (m1_relset_1(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 36.92/5.72 int] : ( ~ (v4 = 0) & m2_relset_1(v2, v0, v1) = v4)) & ! [v0: $i] : ! % 36.92/5.72 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (m2_relset_1(v2, v0, v1) % 36.92/5.72 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & % 36.92/5.72 m1_relset_1(v2, v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 36.92/5.72 ( ~ (m1_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 36.92/5.72 m2_relset_1(v2, v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 36.92/5.72 (m2_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 36.92/5.72 m1_relset_1(v2, v0, v1) = 0) % 36.92/5.72 % 36.92/5.73 (reflexivity_r1_tarski) % 36.92/5.73 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (r1_tarski(v0, v0) = v1) | ~ % 36.92/5.73 $i(v0)) % 36.92/5.73 % 36.92/5.73 (t11_relset_1) % 36.92/5.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 36.92/5.73 (m2_relset_1(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 36.92/5.73 any] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : % 36.92/5.73 (k2_relat_1(v2) = v7 & k1_relat_1(v2) = v5 & r1_tarski(v7, v1) = v8 & % 36.92/5.73 r1_tarski(v5, v0) = v6 & v1_relat_1(v2) = v4 & $i(v7) & $i(v5) & ( ~ (v8 = % 36.92/5.73 0) | ~ (v6 = 0) | ~ (v4 = 0)))) % 36.92/5.73 % 36.92/5.73 (t20_relset_2) % 36.92/5.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 36.92/5.73 (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, % 36.92/5.73 v4) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] % 36.92/5.73 : ? [v7: $i] : ? [v8: $i] : (k2_relat_1(v5) = v6 & k2_relat_1(v2) = v7 & % 36.92/5.73 k5_relset_2(v0, v2) = v5 & r1_tarski(v6, v8) = 0 & k1_zfmisc_1(v7) = v8 & % 36.92/5.73 $i(v8) & $i(v7) & $i(v6) & $i(v5))) % 36.92/5.73 % 36.92/5.73 (t21_relset_2) % 36.92/5.73 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 36.92/5.73 $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] % 36.92/5.73 : ? [v11: any] : (k2_relat_1(v2) = v8 & k5_relset_2(v0, v2) = v5 & % 36.92/5.73 v1_funct_1(v5) = v6 & m2_relset_1(v5, v7, v9) = v11 & v1_funct_2(v5, v7, v9) % 36.92/5.73 = v10 & k2_zfmisc_1(v0, v1) = v3 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v3) = % 36.92/5.73 v4 & k1_zfmisc_1(v0) = v7 & m1_subset_1(v2, v4) = 0 & $i(v9) & $i(v8) & % 36.92/5.73 $i(v7) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v11 = 0) % 36.92/5.73 | ~ (v10 = 0) | ~ (v6 = 0))) % 36.92/5.73 % 36.92/5.73 (t2_subset) % 36.92/5.73 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (r2_hidden(v0, v1) = % 36.92/5.73 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 36.92/5.73 (m1_subset_1(v0, v1) = v3 & v1_xboole_0(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) % 36.92/5.73 & ! [v0: $i] : ! [v1: $i] : ( ~ (m1_subset_1(v0, v1) = 0) | ~ $i(v1) | ~ % 36.92/5.73 $i(v0) | ? [v2: any] : ? [v3: any] : (v1_xboole_0(v1) = v2 & r2_hidden(v0, % 36.92/5.73 v1) = v3 & (v3 = 0 | v2 = 0))) % 36.92/5.73 % 36.92/5.73 (t6_boole) % 36.92/5.73 $i(k1_xboole_0) & ! [v0: $i] : (v0 = k1_xboole_0 | ~ (v1_xboole_0(v0) = 0) | % 36.92/5.73 ~ $i(v0)) % 36.92/5.73 % 36.92/5.73 (function-axioms) % 36.92/5.73 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 36.92/5.73 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m1_relset_1(v4, v3, v2) = v1) | ~ % 36.92/5.73 (m1_relset_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 36.92/5.73 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (k4_relset_1(v4, v3, v2) = v1) | ~ % 36.92/5.73 (k4_relset_1(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.92/5.73 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 36.92/5.73 (m2_relset_1(v4, v3, v2) = v1) | ~ (m2_relset_1(v4, v3, v2) = v0)) & ! % 36.92/5.73 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 36.92/5.73 $i] : ! [v4: $i] : (v1 = v0 | ~ (v1_funct_2(v4, v3, v2) = v1) | ~ % 36.92/5.73 (v1_funct_2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 36.92/5.73 ! [v3: $i] : (v1 = v0 | ~ (k5_relset_2(v3, v2) = v1) | ~ (k5_relset_2(v3, % 36.92/5.73 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 36.92/5.73 = v0 | ~ (k9_relat_1(v3, v2) = v1) | ~ (k9_relat_1(v3, v2) = v0)) & ! % 36.92/5.73 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 36.92/5.73 $i] : (v1 = v0 | ~ (r1_tarski(v3, v2) = v1) | ~ (r1_tarski(v3, v2) = v0)) % 36.92/5.73 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 36.92/5.73 (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0: $i] : ! % 36.92/5.73 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = % 36.92/5.73 v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 36.92/5.73 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 36.92/5.73 (m1_subset_1(v3, v2) = v1) | ~ (m1_subset_1(v3, v2) = v0)) & ! [v0: % 36.92/5.73 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 36.92/5.73 : (v1 = v0 | ~ (r2_hidden(v3, v2) = v1) | ~ (r2_hidden(v3, v2) = v0)) & ! % 36.92/5.73 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k2_relat_1(v2) = v1) | % 36.92/5.73 ~ (k2_relat_1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.92/5.73 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (v3_relat_1(v2) = v1) | ~ % 36.92/5.73 (v3_relat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 36.92/5.73 | ~ (k1_relat_1(v2) = v1) | ~ (k1_relat_1(v2) = v0)) & ! [v0: % 36.92/5.73 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 36.92/5.73 ~ (v1_funct_1(v2) = v1) | ~ (v1_funct_1(v2) = v0)) & ! [v0: $i] : ! [v1: % 36.92/5.73 $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ % 36.92/5.73 (k1_zfmisc_1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.92/5.73 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (v1_relat_1(v2) = v1) | ~ % 36.92/5.73 (v1_relat_1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.92/5.73 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (v1_xboole_0(v2) = v1) | ~ % 36.92/5.73 (v1_xboole_0(v2) = v0)) % 36.92/5.73 % 36.92/5.73 Further assumptions not needed in the proof: % 36.92/5.73 -------------------------------------------- % 36.92/5.74 antisymmetry_r2_hidden, cc1_relat_1, dt_k1_funct_1, dt_k1_relat_1, % 36.92/5.74 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_relat_1, dt_k2_zfmisc_1, dt_k9_relat_1, % 36.92/5.74 dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, existence_m1_relset_1, % 36.92/5.74 existence_m1_subset_1, existence_m2_relset_1, fc12_relat_1, fc1_sysrel, % 36.92/5.74 fc4_relat_1, fc4_subset_1, rc1_relat_1, rc2_partfun1, rc3_relat_1, t1_subset, % 36.92/5.74 t3_subset, t4_subset, t5_subset, t7_boole, t8_boole % 36.92/5.74 % 36.92/5.74 Those formulas are unsatisfiable: % 36.92/5.74 --------------------------------- % 36.92/5.74 % 36.92/5.74 Begin of proof % 36.92/5.74 | % 36.92/5.74 | ALPHA: (d1_funct_2) implies: % 37.20/5.74 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 37.20/5.74 | (v1_funct_2(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 37.20/5.74 | ? [v4: any] : ? [v5: $i] : (k4_relset_1(v0, v1, v2) = v5 & % 37.20/5.74 | m2_relset_1(v2, v0, v1) = v4 & $i(v5) & ( ~ (v4 = 0) | (( ~ (v1 = % 37.20/5.74 | k1_xboole_0) | v0 = k1_xboole_0 | (( ~ (v3 = 0) | v2 = % 37.20/5.74 | k1_xboole_0) & ( ~ (v2 = k1_xboole_0) | v3 = 0))) & ((v1 % 37.20/5.74 | = k1_xboole_0 & ~ (v0 = k1_xboole_0)) | (( ~ (v5 = v0) | % 37.20/5.74 | v3 = 0) & ( ~ (v3 = 0) | v5 = v0))))))) % 37.20/5.74 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 37.20/5.74 | (k4_relset_1(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 37.20/5.74 | ? [v4: any] : ? [v5: any] : (m2_relset_1(v2, v0, v1) = v4 & % 37.20/5.74 | v1_funct_2(v2, v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v1 = % 37.20/5.74 | k1_xboole_0) | v0 = k1_xboole_0 | (( ~ (v5 = 0) | v2 = % 37.20/5.74 | k1_xboole_0) & ( ~ (v2 = k1_xboole_0) | v5 = 0))) & ((v1 % 37.20/5.74 | = k1_xboole_0 & ~ (v0 = k1_xboole_0)) | (( ~ (v5 = 0) | v3 % 37.20/5.74 | = v0) & ( ~ (v3 = v0) | v5 = 0))))))) % 37.20/5.74 | % 37.20/5.74 | ALPHA: (dt_k4_relset_1) implies: % 37.20/5.74 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 37.20/5.74 | (k4_relset_1(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 37.20/5.74 | ? [v4: any] : ? [v5: $i] : ? [v6: any] : (m1_relset_1(v2, v0, v1) = % 37.20/5.74 | v4 & k1_zfmisc_1(v0) = v5 & m1_subset_1(v3, v5) = v6 & $i(v5) & ( ~ % 37.20/5.74 | (v4 = 0) | v6 = 0))) % 37.20/5.74 | % 37.20/5.74 | ALPHA: (fc5_relat_1) implies: % 37.20/5.74 | (4) ! [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 37.20/5.74 | [v2: $i] : ? [v3: any] : (k1_relat_1(v0) = v2 & v1_xboole_0(v2) = v3 % 37.20/5.74 | & v1_xboole_0(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 37.20/5.74 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_relat_1(v0) = v1) | ~ $i(v0) | ? % 37.20/5.74 | [v2: any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v0) = v3 & % 37.20/5.74 | v1_xboole_0(v1) = v4 & v1_xboole_0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 % 37.20/5.74 | = 0) | v2 = 0))) % 37.20/5.74 | (6) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ~ % 37.20/5.74 | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : (k1_relat_1(v0) % 37.20/5.74 | = v3 & v1_relat_1(v0) = v2 & v1_xboole_0(v3) = v4 & $i(v3) & ( ~ % 37.20/5.74 | (v4 = 0) | ~ (v2 = 0)))) % 37.20/5.74 | % 37.20/5.74 | ALPHA: (fc6_relat_1) implies: % 37.20/5.74 | (7) ! [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 37.20/5.74 | [v2: $i] : ? [v3: any] : (k2_relat_1(v0) = v2 & v1_xboole_0(v2) = v3 % 37.20/5.74 | & v1_xboole_0(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 37.20/5.74 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (k2_relat_1(v0) = v1) | ~ $i(v0) | ? % 37.20/5.74 | [v2: any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v0) = v3 & % 37.20/5.74 | v1_xboole_0(v1) = v4 & v1_xboole_0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 % 37.20/5.74 | = 0) | v2 = 0))) % 37.20/5.75 | (9) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ~ % 37.20/5.75 | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : (k2_relat_1(v0) % 37.20/5.75 | = v3 & v1_relat_1(v0) = v2 & v1_xboole_0(v3) = v4 & $i(v3) & ( ~ % 37.20/5.75 | (v4 = 0) | ~ (v2 = 0)))) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (fc7_relat_1) implies: % 37.20/5.75 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_relat_1(v0) = v1) | ~ $i(v0) | ? % 37.20/5.75 | [v2: any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v1) = v4 & % 37.20/5.75 | v1_xboole_0(v1) = v3 & v1_xboole_0(v0) = v2 & ( ~ (v2 = 0) | (v4 = % 37.20/5.75 | 0 & v3 = 0)))) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (fc8_relat_1) implies: % 37.20/5.75 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (k2_relat_1(v0) = v1) | ~ $i(v0) | ? % 37.20/5.75 | [v2: any] : ? [v3: any] : ? [v4: any] : (v1_relat_1(v1) = v4 & % 37.20/5.75 | v1_xboole_0(v1) = v3 & v1_xboole_0(v0) = v2 & ( ~ (v2 = 0) | (v4 = % 37.20/5.75 | 0 & v3 = 0)))) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (rc1_subset_1) implies: % 37.20/5.75 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | % 37.20/5.75 | ? [v2: int] : ? [v3: $i] : ? [v4: int] : ? [v5: int] : ($i(v3) & % 37.20/5.75 | ((v4 = 0 & ~ (v5 = 0) & m1_subset_1(v3, v1) = 0 & v1_xboole_0(v3) % 37.20/5.75 | = v5) | (v2 = 0 & v1_xboole_0(v0) = 0)))) % 37.20/5.75 | (13) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ~ % 37.20/5.75 | $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & % 37.20/5.75 | k1_zfmisc_1(v0) = v2 & m1_subset_1(v3, v2) = 0 & v1_xboole_0(v3) = % 37.20/5.75 | v4 & $i(v3) & $i(v2))) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (redefinition_k4_relset_1) implies: % 37.20/5.75 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 37.20/5.75 | (k4_relset_1(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 37.20/5.75 | ? [v4: any] : ? [v5: $i] : (m1_relset_1(v2, v0, v1) = v4 & % 37.20/5.75 | k1_relat_1(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | v5 = v3))) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (redefinition_m2_relset_1) implies: % 37.20/5.75 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m2_relset_1(v2, v0, v1) % 37.20/5.75 | = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | m1_relset_1(v2, v0, v1) % 37.20/5.75 | = 0) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (t2_subset) implies: % 37.20/5.75 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (m1_subset_1(v0, v1) = 0) | ~ $i(v1) % 37.20/5.75 | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : (v1_xboole_0(v1) = v2 & % 37.20/5.75 | r2_hidden(v0, v1) = v3 & (v3 = 0 | v2 = 0))) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (t6_boole) implies: % 37.20/5.75 | (17) ! [v0: $i] : (v0 = k1_xboole_0 | ~ (v1_xboole_0(v0) = 0) | ~ % 37.20/5.75 | $i(v0)) % 37.20/5.75 | % 37.20/5.75 | ALPHA: (function-axioms) implies: % 37.20/5.75 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.20/5.75 | : (v1 = v0 | ~ (v1_xboole_0(v2) = v1) | ~ (v1_xboole_0(v2) = v0)) % 37.20/5.75 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.20/5.75 | : (v1 = v0 | ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0)) % 37.20/5.75 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 37.20/5.75 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 37.20/5.75 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.20/5.75 | : (v1 = v0 | ~ (v1_funct_1(v2) = v1) | ~ (v1_funct_1(v2) = v0)) % 37.20/5.75 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 37.20/5.75 | (k1_relat_1(v2) = v1) | ~ (k1_relat_1(v2) = v0)) % 37.20/5.75 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 37.20/5.75 | (k2_relat_1(v2) = v1) | ~ (k2_relat_1(v2) = v0)) % 37.20/5.75 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.20/5.75 | : ! [v3: $i] : (v1 = v0 | ~ (r1_tarski(v3, v2) = v1) | ~ % 37.20/5.75 | (r1_tarski(v3, v2) = v0)) % 37.20/5.75 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.20/5.75 | (k5_relset_2(v3, v2) = v1) | ~ (k5_relset_2(v3, v2) = v0)) % 37.20/5.75 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.20/5.75 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = % 37.20/5.75 | v1) | ~ (m2_relset_1(v4, v3, v2) = v0)) % 37.20/5.75 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 37.20/5.75 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m1_relset_1(v4, v3, v2) = % 37.20/5.75 | v1) | ~ (m1_relset_1(v4, v3, v2) = v0)) % 37.20/5.75 | % 37.20/5.76 | DELTA: instantiating (rc2_relat_1) with fresh symbols all_41_0, all_41_1 % 37.20/5.76 | gives: % 37.20/5.76 | (28) ~ (all_41_0 = 0) & v1_relat_1(all_41_1) = 0 & v1_xboole_0(all_41_1) = % 37.20/5.76 | all_41_0 & $i(all_41_1) % 37.20/5.76 | % 37.20/5.76 | ALPHA: (28) implies: % 37.20/5.76 | (29) ~ (all_41_0 = 0) % 37.20/5.76 | (30) $i(all_41_1) % 37.20/5.76 | (31) v1_xboole_0(all_41_1) = all_41_0 % 37.20/5.76 | (32) v1_relat_1(all_41_1) = 0 % 37.20/5.76 | % 37.20/5.76 | DELTA: instantiating (t21_relset_2) with fresh symbols all_44_0, all_44_1, % 37.20/5.76 | all_44_2, all_44_3, all_44_4, all_44_5, all_44_6, all_44_7, all_44_8, % 37.20/5.76 | all_44_9, all_44_10, all_44_11 gives: % 37.20/5.76 | (33) k2_relat_1(all_44_9) = all_44_3 & k5_relset_2(all_44_11, all_44_9) = % 37.20/5.76 | all_44_6 & v1_funct_1(all_44_6) = all_44_5 & m2_relset_1(all_44_6, % 37.20/5.76 | all_44_4, all_44_2) = all_44_0 & v1_funct_2(all_44_6, all_44_4, % 37.20/5.76 | all_44_2) = all_44_1 & k2_zfmisc_1(all_44_11, all_44_10) = all_44_8 % 37.20/5.76 | & k1_zfmisc_1(all_44_3) = all_44_2 & k1_zfmisc_1(all_44_8) = all_44_7 % 37.20/5.76 | & k1_zfmisc_1(all_44_11) = all_44_4 & m1_subset_1(all_44_9, all_44_7) % 37.20/5.76 | = 0 & $i(all_44_2) & $i(all_44_3) & $i(all_44_4) & $i(all_44_6) & % 37.20/5.76 | $i(all_44_7) & $i(all_44_8) & $i(all_44_9) & $i(all_44_10) & % 37.20/5.76 | $i(all_44_11) & ( ~ (all_44_0 = 0) | ~ (all_44_1 = 0) | ~ (all_44_5 % 37.20/5.76 | = 0)) % 37.20/5.76 | % 37.20/5.76 | ALPHA: (33) implies: % 37.20/5.76 | (34) $i(all_44_11) % 37.20/5.76 | (35) $i(all_44_10) % 37.20/5.76 | (36) $i(all_44_9) % 37.20/5.76 | (37) $i(all_44_6) % 37.20/5.76 | (38) $i(all_44_4) % 37.20/5.76 | (39) $i(all_44_3) % 37.20/5.76 | (40) $i(all_44_2) % 37.20/5.76 | (41) m1_subset_1(all_44_9, all_44_7) = 0 % 37.20/5.76 | (42) k1_zfmisc_1(all_44_11) = all_44_4 % 37.20/5.76 | (43) k1_zfmisc_1(all_44_8) = all_44_7 % 37.20/5.76 | (44) k1_zfmisc_1(all_44_3) = all_44_2 % 37.20/5.76 | (45) k2_zfmisc_1(all_44_11, all_44_10) = all_44_8 % 37.20/5.76 | (46) v1_funct_2(all_44_6, all_44_4, all_44_2) = all_44_1 % 37.20/5.76 | (47) m2_relset_1(all_44_6, all_44_4, all_44_2) = all_44_0 % 37.20/5.76 | (48) v1_funct_1(all_44_6) = all_44_5 % 37.20/5.76 | (49) k5_relset_2(all_44_11, all_44_9) = all_44_6 % 37.20/5.76 | (50) k2_relat_1(all_44_9) = all_44_3 % 37.20/5.76 | (51) ~ (all_44_0 = 0) | ~ (all_44_1 = 0) | ~ (all_44_5 = 0) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (13) with all_41_1, all_41_0, simplifying with % 37.20/5.76 | (30), (31) gives: % 37.20/5.76 | (52) all_41_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) % 37.20/5.76 | & k1_zfmisc_1(all_41_1) = v0 & m1_subset_1(v1, v0) = 0 & % 37.20/5.76 | v1_xboole_0(v1) = v2 & $i(v1) & $i(v0)) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (6) with all_41_1, all_41_0, simplifying with (30), % 37.20/5.76 | (31) gives: % 37.20/5.76 | (53) all_41_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.20/5.76 | (k1_relat_1(all_41_1) = v1 & v1_relat_1(all_41_1) = v0 & % 37.20/5.76 | v1_xboole_0(v1) = v2 & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0))) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (7) with all_41_1, simplifying with (30), (32) % 37.20/5.76 | gives: % 37.20/5.76 | (54) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (k2_relat_1(all_41_1) = v1 % 37.20/5.76 | & v1_xboole_0(v1) = v2 & v1_xboole_0(all_41_1) = v0 & $i(v1) & ( ~ % 37.20/5.76 | (v2 = 0) | v0 = 0)) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (4) with all_41_1, simplifying with (30), (32) % 37.20/5.76 | gives: % 37.20/5.76 | (55) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (k1_relat_1(all_41_1) = v1 % 37.20/5.76 | & v1_xboole_0(v1) = v2 & v1_xboole_0(all_41_1) = v0 & $i(v1) & ( ~ % 37.20/5.76 | (v2 = 0) | v0 = 0)) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (fc1_subset_1) with all_44_3, all_44_2, simplifying % 37.20/5.76 | with (39), (44) gives: % 37.20/5.76 | (56) ? [v0: int] : ( ~ (v0 = 0) & v1_xboole_0(all_44_2) = v0) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (rc2_subset_1) with all_44_3, all_44_2, simplifying % 37.20/5.76 | with (39), (44) gives: % 37.20/5.76 | (57) ? [v0: $i] : (m1_subset_1(v0, all_44_2) = 0 & v1_xboole_0(v0) = 0 & % 37.20/5.76 | $i(v0)) % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (cc1_relset_1) with all_44_11, all_44_10, all_44_9, % 37.20/5.76 | all_44_8, all_44_7, simplifying with (34), (35), (36), (41), % 37.20/5.76 | (43), (45) gives: % 37.20/5.76 | (58) v1_relat_1(all_44_9) = 0 % 37.20/5.76 | % 37.20/5.76 | GROUND_INST: instantiating (t20_relset_2) with all_44_11, all_44_10, all_44_9, % 37.20/5.76 | all_44_8, all_44_7, simplifying with (34), (35), (36), (41), % 37.20/5.76 | (43), (45) gives: % 37.20/5.77 | (59) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 37.20/5.77 | (k2_relat_1(v0) = v1 & k2_relat_1(all_44_9) = v2 & % 37.20/5.77 | k5_relset_2(all_44_11, all_44_9) = v0 & r1_tarski(v1, v3) = 0 & % 37.20/5.77 | k1_zfmisc_1(v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 37.20/5.77 | % 37.20/5.77 | GROUND_INST: instantiating (1) with all_44_4, all_44_2, all_44_6, all_44_1, % 37.20/5.77 | simplifying with (37), (38), (40), (46) gives: % 37.20/5.77 | (60) ? [v0: any] : ? [v1: $i] : (k4_relset_1(all_44_4, all_44_2, % 37.20/5.77 | all_44_6) = v1 & m2_relset_1(all_44_6, all_44_4, all_44_2) = v0 & % 37.20/5.77 | $i(v1) & ( ~ (v0 = 0) | (( ~ (all_44_2 = k1_xboole_0) | all_44_4 = % 37.20/5.77 | k1_xboole_0 | (( ~ (all_44_1 = 0) | all_44_6 = k1_xboole_0) & % 37.20/5.77 | ( ~ (all_44_6 = k1_xboole_0) | all_44_1 = 0))) & ((all_44_2 % 37.20/5.77 | = k1_xboole_0 & ~ (all_44_4 = k1_xboole_0)) | (( ~ (v1 = % 37.20/5.77 | all_44_4) | all_44_1 = 0) & ( ~ (all_44_1 = 0) | v1 = % 37.20/5.77 | all_44_4)))))) % 37.20/5.77 | % 37.20/5.77 | GROUND_INST: instantiating (t11_relset_1) with all_44_4, all_44_2, all_44_6, % 37.20/5.77 | all_44_0, simplifying with (37), (38), (40), (47) gives: % 37.20/5.77 | (61) all_44_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] % 37.20/5.77 | : ? [v4: any] : (k2_relat_1(all_44_6) = v3 & k1_relat_1(all_44_6) = % 37.20/5.77 | v1 & r1_tarski(v3, all_44_2) = v4 & r1_tarski(v1, all_44_4) = v2 & % 37.20/5.77 | v1_relat_1(all_44_6) = v0 & $i(v3) & $i(v1) & ( ~ (v4 = 0) | ~ (v2 % 37.20/5.77 | = 0) | ~ (v0 = 0))) % 37.20/5.77 | % 37.20/5.77 | GROUND_INST: instantiating (dt_k5_relset_2) with all_44_11, all_44_9, % 37.20/5.77 | all_44_6, simplifying with (34), (36), (49) gives: % 37.20/5.77 | (62) ? [v0: any] : ? [v1: any] : ? [v2: any] : (v1_funct_1(all_44_6) = % 37.20/5.77 | v2 & v1_relat_1(all_44_6) = v1 & v1_relat_1(all_44_9) = v0 & ( ~ (v0 % 37.20/5.77 | = 0) | (v2 = 0 & v1 = 0))) % 37.20/5.77 | % 37.20/5.77 | GROUND_INST: instantiating (d3_relset_2) with all_44_11, all_44_9, all_44_6, % 37.20/5.77 | simplifying with (34), (36), (49) gives: % 37.20/5.77 | (63) ? [v0: any] : ? [v1: $i] : (k1_zfmisc_1(all_44_11) = v1 & % 37.20/5.77 | v1_relat_1(all_44_9) = v0 & $i(v1) & ( ~ (v0 = 0) | ( ! [v2: $i] : % 37.20/5.77 | ! [v3: $i] : ! [v4: $i] : ( ~ (k1_relat_1(all_44_6) = v2) | ~ % 37.20/5.77 | (k9_relat_1(all_44_9, v3) = v4) | ~ $i(v3) | ~ $i(all_44_6) % 37.20/5.77 | | ? [v5: any] : ? [v6: any] : ((v1_funct_1(all_44_6) = v6 & % 37.20/5.77 | v1_relat_1(all_44_6) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))) | % 37.20/5.77 | (r1_tarski(v3, all_44_11) = v5 & k1_funct_1(all_44_6, v3) = % 37.20/5.77 | v6 & $i(v6) & ( ~ (v5 = 0) | v6 = v4)))) & ! [v2: $i] : % 37.20/5.77 | ! [v3: $i] : ! [v4: $i] : ( ~ (k1_relat_1(all_44_6) = v2) | ~ % 37.20/5.77 | (k1_funct_1(all_44_6, v3) = v4) | ~ $i(v3) | ~ $i(all_44_6) % 37.20/5.77 | | ? [v5: any] : ? [v6: any] : ((v1_funct_1(all_44_6) = v6 & % 37.20/5.77 | v1_relat_1(all_44_6) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))) | % 37.20/5.77 | (k9_relat_1(all_44_9, v3) = v6 & r1_tarski(v3, all_44_11) = % 37.20/5.77 | v5 & $i(v6) & ( ~ (v5 = 0) | v6 = v4)))) & ! [v2: $i] : % 37.20/5.77 | ! [v3: $i] : ( ~ (k1_relat_1(all_44_6) = v2) | ~ (r1_tarski(v3, % 37.44/5.77 | all_44_11) = 0) | ~ $i(v3) | ~ $i(all_44_6) | ? [v4: % 37.44/5.77 | any] : ? [v5: any] : ((v5 = v4 & k9_relat_1(all_44_9, v3) = % 37.44/5.77 | v4 & k1_funct_1(all_44_6, v3) = v4 & $i(v4)) | % 37.44/5.77 | (v1_funct_1(all_44_6) = v5 & v1_relat_1(all_44_6) = v4 & ( ~ % 37.44/5.77 | (v5 = 0) | ~ (v4 = 0))))) & ! [v2: $i] : (v2 = v1 | ~ % 37.44/5.77 | (k1_relat_1(all_44_6) = v2) | ~ $i(all_44_6) | ? [v3: any] : % 37.44/5.77 | ? [v4: any] : (v1_funct_1(all_44_6) = v4 & % 37.44/5.77 | v1_relat_1(all_44_6) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & % 37.44/5.77 | ! [v2: any] : (v2 = all_44_6 | ~ (k1_relat_1(v2) = v1) | ~ % 37.44/5.77 | $i(v2) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: % 37.44/5.77 | int] : ? [v7: $i] : ? [v8: $i] : ($i(v5) & ((v6 = 0 & ~ % 37.44/5.77 | (v8 = v7) & k9_relat_1(all_44_9, v5) = v8 & % 37.44/5.77 | r1_tarski(v5, all_44_11) = 0 & k1_funct_1(v2, v5) = v7 & % 37.44/5.77 | $i(v8) & $i(v7)) | (v1_funct_1(v2) = v4 & v1_relat_1(v2) % 37.44/5.77 | = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v2: $i] : ( % 37.44/5.77 | ~ (v1_funct_1(v2) = 0) | ~ $i(v2) | ? [v3: any] : ? [v4: % 37.44/5.77 | $i] : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : ? [v8: $i] % 37.44/5.77 | : (k1_relat_1(v2) = v4 & v1_relat_1(v2) = v3 & $i(v5) & $i(v4) % 37.44/5.77 | & ( ~ (v3 = 0) | (( ~ (v4 = v1) | v2 = all_44_6 | (v6 = 0 & % 37.44/5.77 | ~ (v8 = v7) & k9_relat_1(all_44_9, v5) = v8 & % 37.44/5.77 | r1_tarski(v5, all_44_11) = 0 & k1_funct_1(v2, v5) = % 37.44/5.77 | v7 & $i(v8) & $i(v7))) & ( ~ (v2 = all_44_6) | (v4 = % 37.44/5.77 | v1 & ! [v9: $i] : ! [v10: $i] : ( ~ % 37.44/5.77 | (k9_relat_1(all_44_9, v9) = v10) | ~ $i(v9) | ? % 37.44/5.77 | [v11: any] : ? [v12: $i] : (r1_tarski(v9, % 37.44/5.77 | all_44_11) = v11 & k1_funct_1(all_44_6, v9) = % 37.44/5.77 | v12 & $i(v12) & ( ~ (v11 = 0) | v12 = v10))) & % 37.44/5.77 | ! [v9: $i] : ! [v10: $i] : ( ~ % 37.44/5.77 | (k1_funct_1(all_44_6, v9) = v10) | ~ $i(v9) | ? % 37.44/5.77 | [v11: any] : ? [v12: $i] : (k9_relat_1(all_44_9, % 37.44/5.77 | v9) = v12 & r1_tarski(v9, all_44_11) = v11 & % 37.44/5.77 | $i(v12) & ( ~ (v11 = 0) | v12 = v10))) & ! [v9: % 37.44/5.77 | $i] : ( ~ (r1_tarski(v9, all_44_11) = 0) | ~ % 37.44/5.77 | $i(v9) | ? [v10: $i] : (k9_relat_1(all_44_9, v9) % 37.44/5.77 | = v10 & k1_funct_1(all_44_6, v9) = v10 & % 37.44/5.77 | $i(v10))))))))) & ! [v2: $i] : ( ~ % 37.44/5.77 | (v1_relat_1(v2) = 0) | ~ $i(v2) | ? [v3: any] : ? [v4: $i] % 37.44/5.77 | : ? [v5: $i] : ? [v6: int] : ? [v7: $i] : ? [v8: $i] : % 37.44/5.77 | (k1_relat_1(v2) = v4 & v1_funct_1(v2) = v3 & $i(v5) & $i(v4) & % 37.44/5.77 | ( ~ (v3 = 0) | (( ~ (v4 = v1) | v2 = all_44_6 | (v6 = 0 & ~ % 37.44/5.77 | (v8 = v7) & k9_relat_1(all_44_9, v5) = v8 & % 37.44/5.77 | r1_tarski(v5, all_44_11) = 0 & k1_funct_1(v2, v5) = % 37.44/5.77 | v7 & $i(v8) & $i(v7))) & ( ~ (v2 = all_44_6) | (v4 = % 37.44/5.77 | v1 & ! [v9: $i] : ! [v10: $i] : ( ~ % 37.44/5.77 | (k9_relat_1(all_44_9, v9) = v10) | ~ $i(v9) | ? % 37.44/5.77 | [v11: any] : ? [v12: $i] : (r1_tarski(v9, % 37.44/5.77 | all_44_11) = v11 & k1_funct_1(all_44_6, v9) = % 37.44/5.77 | v12 & $i(v12) & ( ~ (v11 = 0) | v12 = v10))) & % 37.44/5.77 | ! [v9: $i] : ! [v10: $i] : ( ~ % 37.44/5.77 | (k1_funct_1(all_44_6, v9) = v10) | ~ $i(v9) | ? % 37.44/5.77 | [v11: any] : ? [v12: $i] : (k9_relat_1(all_44_9, % 37.44/5.77 | v9) = v12 & r1_tarski(v9, all_44_11) = v11 & % 37.44/5.77 | $i(v12) & ( ~ (v11 = 0) | v12 = v10))) & ! [v9: % 37.44/5.77 | $i] : ( ~ (r1_tarski(v9, all_44_11) = 0) | ~ % 37.44/5.77 | $i(v9) | ? [v10: $i] : (k9_relat_1(all_44_9, v9) % 37.44/5.77 | = v10 & k1_funct_1(all_44_6, v9) = v10 & % 37.44/5.77 | $i(v10)))))))))))) % 37.44/5.77 | % 37.44/5.77 | GROUND_INST: instantiating (8) with all_44_9, all_44_3, simplifying with (36), % 37.44/5.77 | (50) gives: % 37.44/5.77 | (64) ? [v0: any] : ? [v1: any] : ? [v2: any] : (v1_relat_1(all_44_9) = % 37.44/5.77 | v1 & v1_xboole_0(all_44_3) = v2 & v1_xboole_0(all_44_9) = v0 & ( ~ % 37.44/5.77 | (v2 = 0) | ~ (v1 = 0) | v0 = 0)) % 37.44/5.77 | % 37.44/5.77 | DELTA: instantiating (56) with fresh symbol all_52_0 gives: % 37.44/5.77 | (65) ~ (all_52_0 = 0) & v1_xboole_0(all_44_2) = all_52_0 % 37.44/5.77 | % 37.44/5.77 | ALPHA: (65) implies: % 37.44/5.77 | (66) ~ (all_52_0 = 0) % 37.44/5.77 | (67) v1_xboole_0(all_44_2) = all_52_0 % 37.44/5.77 | % 37.44/5.77 | DELTA: instantiating (57) with fresh symbol all_58_0 gives: % 37.44/5.77 | (68) m1_subset_1(all_58_0, all_44_2) = 0 & v1_xboole_0(all_58_0) = 0 & % 37.44/5.77 | $i(all_58_0) % 37.44/5.77 | % 37.44/5.77 | ALPHA: (68) implies: % 37.44/5.77 | (69) $i(all_58_0) % 37.44/5.77 | (70) m1_subset_1(all_58_0, all_44_2) = 0 % 37.44/5.77 | % 37.44/5.77 | DELTA: instantiating (55) with fresh symbols all_74_0, all_74_1, all_74_2 % 37.44/5.77 | gives: % 37.44/5.78 | (71) k1_relat_1(all_41_1) = all_74_1 & v1_xboole_0(all_74_1) = all_74_0 & % 37.44/5.78 | v1_xboole_0(all_41_1) = all_74_2 & $i(all_74_1) & ( ~ (all_74_0 = 0) | % 37.44/5.78 | all_74_2 = 0) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (71) implies: % 37.44/5.78 | (72) v1_xboole_0(all_41_1) = all_74_2 % 37.44/5.78 | (73) v1_xboole_0(all_74_1) = all_74_0 % 37.44/5.78 | (74) k1_relat_1(all_41_1) = all_74_1 % 37.44/5.78 | % 37.44/5.78 | DELTA: instantiating (54) with fresh symbols all_80_0, all_80_1, all_80_2 % 37.44/5.78 | gives: % 37.44/5.78 | (75) k2_relat_1(all_41_1) = all_80_1 & v1_xboole_0(all_80_1) = all_80_0 & % 37.44/5.78 | v1_xboole_0(all_41_1) = all_80_2 & $i(all_80_1) & ( ~ (all_80_0 = 0) | % 37.44/5.78 | all_80_2 = 0) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (75) implies: % 37.44/5.78 | (76) v1_xboole_0(all_41_1) = all_80_2 % 37.44/5.78 | (77) k2_relat_1(all_41_1) = all_80_1 % 37.44/5.78 | % 37.44/5.78 | DELTA: instantiating (64) with fresh symbols all_86_0, all_86_1, all_86_2 % 37.44/5.78 | gives: % 37.44/5.78 | (78) v1_relat_1(all_44_9) = all_86_1 & v1_xboole_0(all_44_3) = all_86_0 & % 37.44/5.78 | v1_xboole_0(all_44_9) = all_86_2 & ( ~ (all_86_0 = 0) | ~ (all_86_1 = % 37.44/5.78 | 0) | all_86_2 = 0) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (78) implies: % 37.44/5.78 | (79) v1_relat_1(all_44_9) = all_86_1 % 37.44/5.78 | % 37.44/5.78 | DELTA: instantiating (62) with fresh symbols all_88_0, all_88_1, all_88_2 % 37.44/5.78 | gives: % 37.44/5.78 | (80) v1_funct_1(all_44_6) = all_88_0 & v1_relat_1(all_44_6) = all_88_1 & % 37.44/5.78 | v1_relat_1(all_44_9) = all_88_2 & ( ~ (all_88_2 = 0) | (all_88_0 = 0 & % 37.44/5.78 | all_88_1 = 0)) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (80) implies: % 37.44/5.78 | (81) v1_relat_1(all_44_9) = all_88_2 % 37.44/5.78 | (82) v1_relat_1(all_44_6) = all_88_1 % 37.44/5.78 | (83) v1_funct_1(all_44_6) = all_88_0 % 37.44/5.78 | (84) ~ (all_88_2 = 0) | (all_88_0 = 0 & all_88_1 = 0) % 37.44/5.78 | % 37.44/5.78 | DELTA: instantiating (59) with fresh symbols all_104_0, all_104_1, all_104_2, % 37.44/5.78 | all_104_3 gives: % 37.44/5.78 | (85) k2_relat_1(all_104_3) = all_104_2 & k2_relat_1(all_44_9) = all_104_1 & % 37.44/5.78 | k5_relset_2(all_44_11, all_44_9) = all_104_3 & r1_tarski(all_104_2, % 37.44/5.78 | all_104_0) = 0 & k1_zfmisc_1(all_104_1) = all_104_0 & $i(all_104_0) % 37.44/5.78 | & $i(all_104_1) & $i(all_104_2) & $i(all_104_3) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (85) implies: % 37.44/5.78 | (86) $i(all_104_3) % 37.44/5.78 | (87) $i(all_104_0) % 37.44/5.78 | (88) k1_zfmisc_1(all_104_1) = all_104_0 % 37.44/5.78 | (89) r1_tarski(all_104_2, all_104_0) = 0 % 37.44/5.78 | (90) k5_relset_2(all_44_11, all_44_9) = all_104_3 % 37.44/5.78 | (91) k2_relat_1(all_44_9) = all_104_1 % 37.44/5.78 | (92) k2_relat_1(all_104_3) = all_104_2 % 37.44/5.78 | % 37.44/5.78 | DELTA: instantiating (60) with fresh symbols all_106_0, all_106_1 gives: % 37.44/5.78 | (93) k4_relset_1(all_44_4, all_44_2, all_44_6) = all_106_0 & % 37.44/5.78 | m2_relset_1(all_44_6, all_44_4, all_44_2) = all_106_1 & $i(all_106_0) % 37.44/5.78 | & ( ~ (all_106_1 = 0) | (( ~ (all_44_2 = k1_xboole_0) | all_44_4 = % 37.44/5.78 | k1_xboole_0 | (( ~ (all_44_1 = 0) | all_44_6 = k1_xboole_0) & ( % 37.44/5.78 | ~ (all_44_6 = k1_xboole_0) | all_44_1 = 0))) & ((all_44_2 = % 37.44/5.78 | k1_xboole_0 & ~ (all_44_4 = k1_xboole_0)) | (( ~ (all_106_0 = % 37.44/5.78 | all_44_4) | all_44_1 = 0) & ( ~ (all_44_1 = 0) | all_106_0 % 37.44/5.78 | = all_44_4))))) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (93) implies: % 37.44/5.78 | (94) m2_relset_1(all_44_6, all_44_4, all_44_2) = all_106_1 % 37.44/5.78 | (95) k4_relset_1(all_44_4, all_44_2, all_44_6) = all_106_0 % 37.44/5.78 | (96) ~ (all_106_1 = 0) | (( ~ (all_44_2 = k1_xboole_0) | all_44_4 = % 37.44/5.78 | k1_xboole_0 | (( ~ (all_44_1 = 0) | all_44_6 = k1_xboole_0) & ( ~ % 37.44/5.78 | (all_44_6 = k1_xboole_0) | all_44_1 = 0))) & ((all_44_2 = % 37.44/5.78 | k1_xboole_0 & ~ (all_44_4 = k1_xboole_0)) | (( ~ (all_106_0 = % 37.44/5.78 | all_44_4) | all_44_1 = 0) & ( ~ (all_44_1 = 0) | all_106_0 = % 37.44/5.78 | all_44_4)))) % 37.44/5.78 | % 37.44/5.78 | DELTA: instantiating (63) with fresh symbols all_108_0, all_108_1 gives: % 37.44/5.78 | (97) k1_zfmisc_1(all_44_11) = all_108_0 & v1_relat_1(all_44_9) = all_108_1 % 37.44/5.78 | & $i(all_108_0) & ( ~ (all_108_1 = 0) | ( ! [v0: $i] : ! [v1: $i] : % 37.44/5.78 | ! [v2: $i] : ( ~ (k1_relat_1(all_44_6) = v0) | ~ % 37.44/5.78 | (k9_relat_1(all_44_9, v1) = v2) | ~ $i(v1) | ~ $i(all_44_6) | % 37.44/5.78 | ? [v3: any] : ? [v4: any] : ((v1_funct_1(all_44_6) = v4 & % 37.44/5.78 | v1_relat_1(all_44_6) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | % 37.44/5.78 | (r1_tarski(v1, all_44_11) = v3 & k1_funct_1(all_44_6, v1) = v4 % 37.44/5.78 | & $i(v4) & ( ~ (v3 = 0) | v4 = v2)))) & ! [v0: $i] : ! % 37.44/5.78 | [v1: $i] : ! [v2: $i] : ( ~ (k1_relat_1(all_44_6) = v0) | ~ % 37.44/5.78 | (k1_funct_1(all_44_6, v1) = v2) | ~ $i(v1) | ~ $i(all_44_6) | % 37.44/5.78 | ? [v3: any] : ? [v4: any] : ((v1_funct_1(all_44_6) = v4 & % 37.44/5.78 | v1_relat_1(all_44_6) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | % 37.44/5.78 | (k9_relat_1(all_44_9, v1) = v4 & r1_tarski(v1, all_44_11) = v3 % 37.44/5.78 | & $i(v4) & ( ~ (v3 = 0) | v4 = v2)))) & ! [v0: $i] : ! % 37.44/5.78 | [v1: $i] : ( ~ (k1_relat_1(all_44_6) = v0) | ~ (r1_tarski(v1, % 37.44/5.78 | all_44_11) = 0) | ~ $i(v1) | ~ $i(all_44_6) | ? [v2: any] % 37.44/5.78 | : ? [v3: any] : ((v3 = v2 & k9_relat_1(all_44_9, v1) = v2 & % 37.44/5.78 | k1_funct_1(all_44_6, v1) = v2 & $i(v2)) | % 37.44/5.78 | (v1_funct_1(all_44_6) = v3 & v1_relat_1(all_44_6) = v2 & ( ~ % 37.44/5.78 | (v3 = 0) | ~ (v2 = 0))))) & ! [v0: int] : (v0 = % 37.44/5.78 | all_108_0 | ~ (k1_relat_1(all_44_6) = v0) | ~ $i(all_44_6) | % 37.44/5.78 | ? [v1: any] : ? [v2: any] : (v1_funct_1(all_44_6) = v2 & % 37.44/5.78 | v1_relat_1(all_44_6) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))) & ! % 37.44/5.78 | [v0: any] : (v0 = all_44_6 | ~ (k1_relat_1(v0) = all_108_0) | ~ % 37.44/5.78 | $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: % 37.44/5.78 | int] : ? [v5: $i] : ? [v6: $i] : ($i(v3) & ((v4 = 0 & ~ (v6 % 37.44/5.78 | = v5) & k9_relat_1(all_44_9, v3) = v6 & r1_tarski(v3, % 37.44/5.78 | all_44_11) = 0 & k1_funct_1(v0, v3) = v5 & $i(v6) & % 37.44/5.78 | $i(v5)) | (v1_funct_1(v0) = v2 & v1_relat_1(v0) = v1 & ( ~ % 37.44/5.78 | (v2 = 0) | ~ (v1 = 0)))))) & ! [v0: $i] : ( ~ % 37.44/5.78 | (v1_funct_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : % 37.44/5.78 | ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? [v6: $i] : % 37.44/5.78 | (k1_relat_1(v0) = v2 & v1_relat_1(v0) = v1 & $i(v3) & $i(v2) & ( % 37.44/5.78 | ~ (v1 = 0) | (( ~ (v2 = all_108_0) | v0 = all_44_6 | (v4 = 0 % 37.44/5.78 | & ~ (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 & % 37.44/5.78 | r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, v3) = v5 % 37.44/5.78 | & $i(v6) & $i(v5))) & ( ~ (v0 = all_44_6) | (v2 = % 37.44/5.78 | all_108_0 & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.78 | (k9_relat_1(all_44_9, v7) = v8) | ~ $i(v7) | ? % 37.44/5.78 | [v9: any] : ? [v10: $i] : (r1_tarski(v7, all_44_11) % 37.44/5.78 | = v9 & k1_funct_1(all_44_6, v7) = v10 & $i(v10) & % 37.44/5.78 | ( ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : ! [v8: % 37.44/5.78 | $i] : ( ~ (k1_funct_1(all_44_6, v7) = v8) | ~ % 37.44/5.78 | $i(v7) | ? [v9: any] : ? [v10: $i] : % 37.44/5.78 | (k9_relat_1(all_44_9, v7) = v10 & r1_tarski(v7, % 37.44/5.78 | all_44_11) = v9 & $i(v10) & ( ~ (v9 = 0) | v10 = % 37.44/5.78 | v8))) & ! [v7: $i] : ( ~ (r1_tarski(v7, % 37.44/5.78 | all_44_11) = 0) | ~ $i(v7) | ? [v8: $i] : % 37.44/5.78 | (k9_relat_1(all_44_9, v7) = v8 & % 37.44/5.78 | k1_funct_1(all_44_6, v7) = v8 & $i(v8))))))))) & % 37.44/5.78 | ! [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 37.44/5.78 | ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? [v6: % 37.44/5.78 | $i] : (k1_relat_1(v0) = v2 & v1_funct_1(v0) = v1 & $i(v3) & % 37.44/5.78 | $i(v2) & ( ~ (v1 = 0) | (( ~ (v2 = all_108_0) | v0 = all_44_6 % 37.44/5.78 | | (v4 = 0 & ~ (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 % 37.44/5.78 | & r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, v3) = % 37.44/5.78 | v5 & $i(v6) & $i(v5))) & ( ~ (v0 = all_44_6) | (v2 = % 37.44/5.78 | all_108_0 & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.78 | (k9_relat_1(all_44_9, v7) = v8) | ~ $i(v7) | ? % 37.44/5.78 | [v9: any] : ? [v10: $i] : (r1_tarski(v7, all_44_11) % 37.44/5.78 | = v9 & k1_funct_1(all_44_6, v7) = v10 & $i(v10) & % 37.44/5.78 | ( ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : ! [v8: % 37.44/5.78 | $i] : ( ~ (k1_funct_1(all_44_6, v7) = v8) | ~ % 37.44/5.78 | $i(v7) | ? [v9: any] : ? [v10: $i] : % 37.44/5.78 | (k9_relat_1(all_44_9, v7) = v10 & r1_tarski(v7, % 37.44/5.78 | all_44_11) = v9 & $i(v10) & ( ~ (v9 = 0) | v10 = % 37.44/5.78 | v8))) & ! [v7: $i] : ( ~ (r1_tarski(v7, % 37.44/5.78 | all_44_11) = 0) | ~ $i(v7) | ? [v8: $i] : % 37.44/5.78 | (k9_relat_1(all_44_9, v7) = v8 & % 37.44/5.78 | k1_funct_1(all_44_6, v7) = v8 & $i(v8))))))))))) % 37.44/5.78 | % 37.44/5.78 | ALPHA: (97) implies: % 37.44/5.78 | (98) $i(all_108_0) % 37.44/5.78 | (99) v1_relat_1(all_44_9) = all_108_1 % 37.44/5.78 | (100) k1_zfmisc_1(all_44_11) = all_108_0 % 37.44/5.79 | (101) ~ (all_108_1 = 0) | ( ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 37.44/5.79 | (k1_relat_1(all_44_6) = v0) | ~ (k9_relat_1(all_44_9, v1) = v2) % 37.44/5.79 | | ~ $i(v1) | ~ $i(all_44_6) | ? [v3: any] : ? [v4: any] : % 37.44/5.79 | ((v1_funct_1(all_44_6) = v4 & v1_relat_1(all_44_6) = v3 & ( ~ (v4 % 37.44/5.79 | = 0) | ~ (v3 = 0))) | (r1_tarski(v1, all_44_11) = v3 & % 37.44/5.79 | k1_funct_1(all_44_6, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | v4 = % 37.44/5.79 | v2)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 37.44/5.79 | (k1_relat_1(all_44_6) = v0) | ~ (k1_funct_1(all_44_6, v1) = v2) % 37.44/5.79 | | ~ $i(v1) | ~ $i(all_44_6) | ? [v3: any] : ? [v4: any] : % 37.44/5.79 | ((v1_funct_1(all_44_6) = v4 & v1_relat_1(all_44_6) = v3 & ( ~ (v4 % 37.44/5.79 | = 0) | ~ (v3 = 0))) | (k9_relat_1(all_44_9, v1) = v4 & % 37.44/5.79 | r1_tarski(v1, all_44_11) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 = % 37.44/5.79 | v2)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 37.44/5.79 | (k1_relat_1(all_44_6) = v0) | ~ (r1_tarski(v1, all_44_11) = 0) | % 37.44/5.79 | ~ $i(v1) | ~ $i(all_44_6) | ? [v2: any] : ? [v3: any] : ((v3 % 37.44/5.79 | = v2 & k9_relat_1(all_44_9, v1) = v2 & k1_funct_1(all_44_6, % 37.44/5.79 | v1) = v2 & $i(v2)) | (v1_funct_1(all_44_6) = v3 & % 37.44/5.79 | v1_relat_1(all_44_6) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & % 37.44/5.79 | ! [v0: int] : (v0 = all_108_0 | ~ (k1_relat_1(all_44_6) = v0) | ~ % 37.44/5.79 | $i(all_44_6) | ? [v1: any] : ? [v2: any] : % 37.44/5.79 | (v1_funct_1(all_44_6) = v2 & v1_relat_1(all_44_6) = v1 & ( ~ (v2 % 37.44/5.79 | = 0) | ~ (v1 = 0)))) & ! [v0: any] : (v0 = all_44_6 | ~ % 37.44/5.79 | (k1_relat_1(v0) = all_108_0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 37.44/5.79 | any] : ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? [v6: $i] : % 37.44/5.79 | ($i(v3) & ((v4 = 0 & ~ (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 % 37.44/5.79 | & r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, v3) = v5 & % 37.44/5.79 | $i(v6) & $i(v5)) | (v1_funct_1(v0) = v2 & v1_relat_1(v0) = % 37.44/5.79 | v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))) & ! [v0: $i] : ( ~ % 37.44/5.79 | (v1_funct_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : % 37.44/5.79 | ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? [v6: $i] : % 37.44/5.79 | (k1_relat_1(v0) = v2 & v1_relat_1(v0) = v1 & $i(v3) & $i(v2) & ( % 37.44/5.79 | ~ (v1 = 0) | (( ~ (v2 = all_108_0) | v0 = all_44_6 | (v4 = 0 % 37.44/5.79 | & ~ (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 & % 37.44/5.79 | r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, v3) = v5 % 37.44/5.79 | & $i(v6) & $i(v5))) & ( ~ (v0 = all_44_6) | (v2 = % 37.44/5.79 | all_108_0 & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.79 | (k9_relat_1(all_44_9, v7) = v8) | ~ $i(v7) | ? [v9: % 37.44/5.79 | any] : ? [v10: $i] : (r1_tarski(v7, all_44_11) = % 37.44/5.79 | v9 & k1_funct_1(all_44_6, v7) = v10 & $i(v10) & ( ~ % 37.44/5.79 | (v9 = 0) | v10 = v8))) & ! [v7: $i] : ! [v8: % 37.44/5.79 | $i] : ( ~ (k1_funct_1(all_44_6, v7) = v8) | ~ $i(v7) % 37.44/5.79 | | ? [v9: any] : ? [v10: $i] : (k9_relat_1(all_44_9, % 37.44/5.79 | v7) = v10 & r1_tarski(v7, all_44_11) = v9 & % 37.44/5.79 | $i(v10) & ( ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] % 37.44/5.79 | : ( ~ (r1_tarski(v7, all_44_11) = 0) | ~ $i(v7) | ? % 37.44/5.79 | [v8: $i] : (k9_relat_1(all_44_9, v7) = v8 & % 37.44/5.79 | k1_funct_1(all_44_6, v7) = v8 & $i(v8))))))))) & ! % 37.44/5.79 | [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 37.44/5.79 | [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? [v6: $i] % 37.44/5.79 | : (k1_relat_1(v0) = v2 & v1_funct_1(v0) = v1 & $i(v3) & $i(v2) & % 37.44/5.79 | ( ~ (v1 = 0) | (( ~ (v2 = all_108_0) | v0 = all_44_6 | (v4 = 0 % 37.44/5.79 | & ~ (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 & % 37.44/5.79 | r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, v3) = v5 % 37.44/5.79 | & $i(v6) & $i(v5))) & ( ~ (v0 = all_44_6) | (v2 = % 37.44/5.79 | all_108_0 & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.79 | (k9_relat_1(all_44_9, v7) = v8) | ~ $i(v7) | ? [v9: % 37.44/5.79 | any] : ? [v10: $i] : (r1_tarski(v7, all_44_11) = % 37.44/5.79 | v9 & k1_funct_1(all_44_6, v7) = v10 & $i(v10) & ( ~ % 37.44/5.79 | (v9 = 0) | v10 = v8))) & ! [v7: $i] : ! [v8: % 37.44/5.79 | $i] : ( ~ (k1_funct_1(all_44_6, v7) = v8) | ~ $i(v7) % 37.44/5.79 | | ? [v9: any] : ? [v10: $i] : (k9_relat_1(all_44_9, % 37.44/5.79 | v7) = v10 & r1_tarski(v7, all_44_11) = v9 & % 37.44/5.79 | $i(v10) & ( ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] % 37.44/5.79 | : ( ~ (r1_tarski(v7, all_44_11) = 0) | ~ $i(v7) | ? % 37.44/5.79 | [v8: $i] : (k9_relat_1(all_44_9, v7) = v8 & % 37.44/5.79 | k1_funct_1(all_44_6, v7) = v8 & $i(v8)))))))))) % 37.44/5.79 | % 37.44/5.79 | BETA: splitting (53) gives: % 37.44/5.79 | % 37.44/5.79 | Case 1: % 37.44/5.79 | | % 37.44/5.79 | | (102) all_41_0 = 0 % 37.44/5.79 | | % 37.44/5.79 | | REDUCE: (29), (102) imply: % 37.44/5.79 | | (103) $false % 37.44/5.79 | | % 37.44/5.79 | | CLOSE: (103) is inconsistent. % 37.44/5.79 | | % 37.44/5.79 | Case 2: % 37.44/5.79 | | % 37.44/5.79 | | (104) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (k1_relat_1(all_41_1) = % 37.44/5.79 | | v1 & v1_relat_1(all_41_1) = v0 & v1_xboole_0(v1) = v2 & $i(v1) & % 37.44/5.79 | | ( ~ (v2 = 0) | ~ (v0 = 0))) % 37.44/5.79 | | % 37.44/5.79 | | DELTA: instantiating (104) with fresh symbols all_114_0, all_114_1, % 37.44/5.79 | | all_114_2 gives: % 37.44/5.79 | | (105) k1_relat_1(all_41_1) = all_114_1 & v1_relat_1(all_41_1) = all_114_2 % 37.44/5.79 | | & v1_xboole_0(all_114_1) = all_114_0 & $i(all_114_1) & ( ~ % 37.44/5.79 | | (all_114_0 = 0) | ~ (all_114_2 = 0)) % 37.44/5.79 | | % 37.44/5.79 | | ALPHA: (105) implies: % 37.44/5.79 | | (106) v1_xboole_0(all_114_1) = all_114_0 % 37.44/5.79 | | (107) v1_relat_1(all_41_1) = all_114_2 % 37.44/5.79 | | (108) k1_relat_1(all_41_1) = all_114_1 % 37.44/5.79 | | (109) ~ (all_114_0 = 0) | ~ (all_114_2 = 0) % 37.44/5.79 | | % 37.44/5.79 | | BETA: splitting (52) gives: % 37.44/5.79 | | % 37.44/5.79 | | Case 1: % 37.44/5.79 | | | % 37.44/5.79 | | | (110) all_41_0 = 0 % 37.44/5.79 | | | % 37.44/5.79 | | | REDUCE: (29), (110) imply: % 37.44/5.79 | | | (111) $false % 37.44/5.79 | | | % 37.44/5.79 | | | CLOSE: (111) is inconsistent. % 37.44/5.79 | | | % 37.44/5.79 | | Case 2: % 37.44/5.79 | | | % 37.44/5.79 | | | (112) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 37.44/5.79 | | | k1_zfmisc_1(all_41_1) = v0 & m1_subset_1(v1, v0) = 0 & % 37.44/5.79 | | | v1_xboole_0(v1) = v2 & $i(v1) & $i(v0)) % 37.44/5.79 | | | % 37.44/5.79 | | | DELTA: instantiating (112) with fresh symbols all_120_0, all_120_1, % 37.44/5.79 | | | all_120_2 gives: % 37.44/5.79 | | | (113) ~ (all_120_0 = 0) & k1_zfmisc_1(all_41_1) = all_120_2 & % 37.44/5.79 | | | m1_subset_1(all_120_1, all_120_2) = 0 & v1_xboole_0(all_120_1) = % 37.44/5.79 | | | all_120_0 & $i(all_120_1) & $i(all_120_2) % 37.44/5.79 | | | % 37.44/5.79 | | | ALPHA: (113) implies: % 37.44/5.79 | | | (114) k1_zfmisc_1(all_41_1) = all_120_2 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (18) with all_41_0, all_80_2, all_41_1, % 37.44/5.79 | | | simplifying with (31), (76) gives: % 37.44/5.79 | | | (115) all_80_2 = all_41_0 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (18) with all_74_2, all_80_2, all_41_1, % 37.44/5.79 | | | simplifying with (72), (76) gives: % 37.44/5.79 | | | (116) all_80_2 = all_74_2 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (19) with 0, all_114_2, all_41_1, simplifying % 37.44/5.79 | | | with (32), (107) gives: % 37.44/5.79 | | | (117) all_114_2 = 0 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (19) with all_88_2, all_108_1, all_44_9, % 37.44/5.79 | | | simplifying with (81), (99) gives: % 37.44/5.79 | | | (118) all_108_1 = all_88_2 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (19) with all_86_1, all_108_1, all_44_9, % 37.44/5.79 | | | simplifying with (79), (99) gives: % 37.44/5.79 | | | (119) all_108_1 = all_86_1 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (19) with 0, all_108_1, all_44_9, simplifying % 37.44/5.79 | | | with (58), (99) gives: % 37.44/5.79 | | | (120) all_108_1 = 0 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (20) with all_44_4, all_108_0, all_44_11, % 37.44/5.79 | | | simplifying with (42), (100) gives: % 37.44/5.79 | | | (121) all_108_0 = all_44_4 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (26) with all_44_0, all_106_1, all_44_2, % 37.44/5.79 | | | all_44_4, all_44_6, simplifying with (47), (94) gives: % 37.44/5.79 | | | (122) all_106_1 = all_44_0 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (21) with all_44_5, all_88_0, all_44_6, % 37.44/5.79 | | | simplifying with (48), (83) gives: % 37.44/5.79 | | | (123) all_88_0 = all_44_5 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (22) with all_74_1, all_114_1, all_41_1, % 37.44/5.79 | | | simplifying with (74), (108) gives: % 37.44/5.79 | | | (124) all_114_1 = all_74_1 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (25) with all_44_6, all_104_3, all_44_9, % 37.44/5.79 | | | all_44_11, simplifying with (49), (90) gives: % 37.44/5.79 | | | (125) all_104_3 = all_44_6 % 37.44/5.79 | | | % 37.44/5.79 | | | GROUND_INST: instantiating (23) with all_44_3, all_104_1, all_44_9, % 37.44/5.79 | | | simplifying with (50), (91) gives: % 37.44/5.80 | | | (126) all_104_1 = all_44_3 % 37.44/5.80 | | | % 37.44/5.80 | | | COMBINE_EQS: (118), (119) imply: % 37.44/5.80 | | | (127) all_88_2 = all_86_1 % 37.44/5.80 | | | % 37.44/5.80 | | | COMBINE_EQS: (118), (120) imply: % 37.44/5.80 | | | (128) all_88_2 = 0 % 37.44/5.80 | | | % 37.44/5.80 | | | COMBINE_EQS: (127), (128) imply: % 37.44/5.80 | | | (129) all_86_1 = 0 % 37.44/5.80 | | | % 37.44/5.80 | | | COMBINE_EQS: (115), (116) imply: % 37.44/5.80 | | | (130) all_74_2 = all_41_0 % 37.44/5.80 | | | % 37.44/5.80 | | | REDUCE: (92), (125) imply: % 37.44/5.80 | | | (131) k2_relat_1(all_44_6) = all_104_2 % 37.44/5.80 | | | % 37.44/5.80 | | | REDUCE: (88), (126) imply: % 37.44/5.80 | | | (132) k1_zfmisc_1(all_44_3) = all_104_0 % 37.44/5.80 | | | % 37.44/5.80 | | | REDUCE: (106), (124) imply: % 37.44/5.80 | | | (133) v1_xboole_0(all_74_1) = all_114_0 % 37.44/5.80 | | | % 37.44/5.80 | | | BETA: splitting (109) gives: % 37.44/5.80 | | | % 37.44/5.80 | | | Case 1: % 37.44/5.80 | | | | % 37.44/5.80 | | | | (134) ~ (all_114_0 = 0) % 37.44/5.80 | | | | % 37.44/5.80 | | | | BETA: splitting (84) gives: % 37.44/5.80 | | | | % 37.44/5.80 | | | | Case 1: % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | (135) ~ (all_88_2 = 0) % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | REDUCE: (128), (135) imply: % 37.44/5.80 | | | | | (136) $false % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | CLOSE: (136) is inconsistent. % 37.44/5.80 | | | | | % 37.44/5.80 | | | | Case 2: % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | (137) all_88_0 = 0 & all_88_1 = 0 % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | ALPHA: (137) implies: % 37.44/5.80 | | | | | (138) all_88_1 = 0 % 37.44/5.80 | | | | | (139) all_88_0 = 0 % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | COMBINE_EQS: (123), (139) imply: % 37.44/5.80 | | | | | (140) all_44_5 = 0 % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | REDUCE: (48), (140) imply: % 37.44/5.80 | | | | | (141) v1_funct_1(all_44_6) = 0 % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | REDUCE: (82), (138) imply: % 37.44/5.80 | | | | | (142) v1_relat_1(all_44_6) = 0 % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | BETA: splitting (101) gives: % 37.44/5.80 | | | | | % 37.44/5.80 | | | | | Case 1: % 37.44/5.80 | | | | | | % 37.44/5.80 | | | | | | (143) ~ (all_108_1 = 0) % 37.44/5.80 | | | | | | % 37.44/5.80 | | | | | | REDUCE: (120), (143) imply: % 37.44/5.80 | | | | | | (144) $false % 37.44/5.80 | | | | | | % 37.44/5.80 | | | | | | CLOSE: (144) is inconsistent. % 37.44/5.80 | | | | | | % 37.44/5.80 | | | | | Case 2: % 37.44/5.80 | | | | | | % 37.44/5.80 | | | | | | (145) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 37.44/5.80 | | | | | | (k1_relat_1(all_44_6) = v0) | ~ (k9_relat_1(all_44_9, % 37.44/5.80 | | | | | | v1) = v2) | ~ $i(v1) | ~ $i(all_44_6) | ? [v3: % 37.44/5.80 | | | | | | any] : ? [v4: any] : ((v1_funct_1(all_44_6) = v4 & % 37.44/5.80 | | | | | | v1_relat_1(all_44_6) = v3 & ( ~ (v4 = 0) | ~ (v3 = % 37.44/5.80 | | | | | | 0))) | (r1_tarski(v1, all_44_11) = v3 & % 37.44/5.80 | | | | | | k1_funct_1(all_44_6, v1) = v4 & $i(v4) & ( ~ (v3 = 0) % 37.44/5.80 | | | | | | | v4 = v2)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 37.44/5.80 | | | | | | $i] : ( ~ (k1_relat_1(all_44_6) = v0) | ~ % 37.44/5.80 | | | | | | (k1_funct_1(all_44_6, v1) = v2) | ~ $i(v1) | ~ % 37.44/5.80 | | | | | | $i(all_44_6) | ? [v3: any] : ? [v4: any] : % 37.44/5.80 | | | | | | ((v1_funct_1(all_44_6) = v4 & v1_relat_1(all_44_6) = v3 & % 37.44/5.80 | | | | | | ( ~ (v4 = 0) | ~ (v3 = 0))) | (k9_relat_1(all_44_9, % 37.44/5.80 | | | | | | v1) = v4 & r1_tarski(v1, all_44_11) = v3 & $i(v4) & % 37.44/5.80 | | | | | | ( ~ (v3 = 0) | v4 = v2)))) & ! [v0: $i] : ! [v1: % 37.44/5.80 | | | | | | $i] : ( ~ (k1_relat_1(all_44_6) = v0) | ~ (r1_tarski(v1, % 37.44/5.80 | | | | | | all_44_11) = 0) | ~ $i(v1) | ~ $i(all_44_6) | ? % 37.44/5.80 | | | | | | [v2: any] : ? [v3: any] : ((v3 = v2 & % 37.44/5.80 | | | | | | k9_relat_1(all_44_9, v1) = v2 & k1_funct_1(all_44_6, % 37.44/5.80 | | | | | | v1) = v2 & $i(v2)) | (v1_funct_1(all_44_6) = v3 & % 37.44/5.80 | | | | | | v1_relat_1(all_44_6) = v2 & ( ~ (v3 = 0) | ~ (v2 = % 37.44/5.80 | | | | | | 0))))) & ! [v0: int] : (v0 = all_108_0 | ~ % 37.44/5.80 | | | | | | (k1_relat_1(all_44_6) = v0) | ~ $i(all_44_6) | ? [v1: % 37.44/5.80 | | | | | | any] : ? [v2: any] : (v1_funct_1(all_44_6) = v2 & % 37.44/5.80 | | | | | | v1_relat_1(all_44_6) = v1 & ( ~ (v2 = 0) | ~ (v1 = % 37.44/5.80 | | | | | | 0)))) & ! [v0: any] : (v0 = all_44_6 | ~ % 37.44/5.80 | | | | | | (k1_relat_1(v0) = all_108_0) | ~ $i(v0) | ? [v1: any] : % 37.44/5.80 | | | | | | ? [v2: any] : ? [v3: $i] : ? [v4: int] : ? [v5: $i] : % 37.44/5.80 | | | | | | ? [v6: $i] : ($i(v3) & ((v4 = 0 & ~ (v6 = v5) & % 37.44/5.80 | | | | | | k9_relat_1(all_44_9, v3) = v6 & r1_tarski(v3, % 37.44/5.80 | | | | | | all_44_11) = 0 & k1_funct_1(v0, v3) = v5 & $i(v6) % 37.44/5.80 | | | | | | & $i(v5)) | (v1_funct_1(v0) = v2 & v1_relat_1(v0) = % 37.44/5.80 | | | | | | v1 & ( ~ (v2 = 0) | ~ (v1 = 0)))))) & ! [v0: $i] % 37.44/5.80 | | | | | | : ( ~ (v1_funct_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 37.44/5.80 | | | | | | [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? % 37.44/5.80 | | | | | | [v6: $i] : (k1_relat_1(v0) = v2 & v1_relat_1(v0) = v1 & % 37.44/5.80 | | | | | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | (( ~ (v2 = all_108_0) % 37.44/5.80 | | | | | | | v0 = all_44_6 | (v4 = 0 & ~ (v6 = v5) & % 37.44/5.80 | | | | | | k9_relat_1(all_44_9, v3) = v6 & r1_tarski(v3, % 37.44/5.80 | | | | | | all_44_11) = 0 & k1_funct_1(v0, v3) = v5 & % 37.44/5.80 | | | | | | $i(v6) & $i(v5))) & ( ~ (v0 = all_44_6) | (v2 = % 37.44/5.80 | | | | | | all_108_0 & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.80 | | | | | | (k9_relat_1(all_44_9, v7) = v8) | ~ $i(v7) | % 37.44/5.80 | | | | | | ? [v9: any] : ? [v10: $i] : (r1_tarski(v7, % 37.44/5.80 | | | | | | all_44_11) = v9 & k1_funct_1(all_44_6, % 37.44/5.80 | | | | | | v7) = v10 & $i(v10) & ( ~ (v9 = 0) | v10 % 37.44/5.80 | | | | | | = v8))) & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.80 | | | | | | (k1_funct_1(all_44_6, v7) = v8) | ~ $i(v7) | % 37.44/5.80 | | | | | | ? [v9: any] : ? [v10: $i] : % 37.44/5.80 | | | | | | (k9_relat_1(all_44_9, v7) = v10 & % 37.44/5.80 | | | | | | r1_tarski(v7, all_44_11) = v9 & $i(v10) & ( % 37.44/5.80 | | | | | | ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : % 37.44/5.80 | | | | | | ( ~ (r1_tarski(v7, all_44_11) = 0) | ~ $i(v7) % 37.44/5.80 | | | | | | | ? [v8: $i] : (k9_relat_1(all_44_9, v7) = % 37.44/5.80 | | | | | | v8 & k1_funct_1(all_44_6, v7) = v8 & % 37.44/5.80 | | | | | | $i(v8))))))))) & ! [v0: $i] : ( ~ % 37.44/5.80 | | | | | | (v1_relat_1(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 37.44/5.80 | | | | | | $i] : ? [v3: $i] : ? [v4: int] : ? [v5: $i] : ? % 37.44/5.80 | | | | | | [v6: $i] : (k1_relat_1(v0) = v2 & v1_funct_1(v0) = v1 & % 37.44/5.80 | | | | | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | (( ~ (v2 = all_108_0) % 37.44/5.80 | | | | | | | v0 = all_44_6 | (v4 = 0 & ~ (v6 = v5) & % 37.44/5.80 | | | | | | k9_relat_1(all_44_9, v3) = v6 & r1_tarski(v3, % 37.44/5.80 | | | | | | all_44_11) = 0 & k1_funct_1(v0, v3) = v5 & % 37.44/5.80 | | | | | | $i(v6) & $i(v5))) & ( ~ (v0 = all_44_6) | (v2 = % 37.44/5.80 | | | | | | all_108_0 & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.80 | | | | | | (k9_relat_1(all_44_9, v7) = v8) | ~ $i(v7) | % 37.44/5.80 | | | | | | ? [v9: any] : ? [v10: $i] : (r1_tarski(v7, % 37.44/5.80 | | | | | | all_44_11) = v9 & k1_funct_1(all_44_6, % 37.44/5.80 | | | | | | v7) = v10 & $i(v10) & ( ~ (v9 = 0) | v10 % 37.44/5.80 | | | | | | = v8))) & ! [v7: $i] : ! [v8: $i] : ( ~ % 37.44/5.80 | | | | | | (k1_funct_1(all_44_6, v7) = v8) | ~ $i(v7) | % 37.44/5.80 | | | | | | ? [v9: any] : ? [v10: $i] : % 37.44/5.80 | | | | | | (k9_relat_1(all_44_9, v7) = v10 & % 37.44/5.80 | | | | | | r1_tarski(v7, all_44_11) = v9 & $i(v10) & ( % 37.44/5.80 | | | | | | ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : % 37.44/5.80 | | | | | | ( ~ (r1_tarski(v7, all_44_11) = 0) | ~ $i(v7) % 37.44/5.80 | | | | | | | ? [v8: $i] : (k9_relat_1(all_44_9, v7) = % 37.44/5.80 | | | | | | v8 & k1_funct_1(all_44_6, v7) = v8 & % 37.44/5.80 | | | | | | $i(v8))))))))) % 37.44/5.80 | | | | | | % 37.44/5.80 | | | | | | ALPHA: (145) implies: % 37.44/5.80 | | | | | | (146) ! [v0: $i] : ( ~ (v1_relat_1(v0) = 0) | ~ $i(v0) | ? % 37.44/5.80 | | | | | | [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? % 37.44/5.80 | | | | | | [v5: $i] : ? [v6: $i] : (k1_relat_1(v0) = v2 & % 37.44/5.80 | | | | | | v1_funct_1(v0) = v1 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | % 37.44/5.80 | | | | | | (( ~ (v2 = all_108_0) | v0 = all_44_6 | (v4 = 0 & ~ % 37.44/5.80 | | | | | | (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 & % 37.44/5.80 | | | | | | r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, % 37.44/5.80 | | | | | | v3) = v5 & $i(v6) & $i(v5))) & ( ~ (v0 = % 37.44/5.80 | | | | | | all_44_6) | (v2 = all_108_0 & ! [v7: $i] : ! % 37.44/5.80 | | | | | | [v8: $i] : ( ~ (k9_relat_1(all_44_9, v7) = v8) % 37.44/5.80 | | | | | | | ~ $i(v7) | ? [v9: any] : ? [v10: $i] : % 37.44/5.80 | | | | | | (r1_tarski(v7, all_44_11) = v9 & % 37.44/5.80 | | | | | | k1_funct_1(all_44_6, v7) = v10 & $i(v10) & % 37.44/5.80 | | | | | | ( ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : % 37.44/5.80 | | | | | | ! [v8: $i] : ( ~ (k1_funct_1(all_44_6, v7) = % 37.44/5.80 | | | | | | v8) | ~ $i(v7) | ? [v9: any] : ? [v10: % 37.44/5.80 | | | | | | $i] : (k9_relat_1(all_44_9, v7) = v10 & % 37.44/5.80 | | | | | | r1_tarski(v7, all_44_11) = v9 & $i(v10) & ( % 37.44/5.80 | | | | | | ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : % 37.44/5.80 | | | | | | ( ~ (r1_tarski(v7, all_44_11) = 0) | ~ $i(v7) % 37.44/5.80 | | | | | | | ? [v8: $i] : (k9_relat_1(all_44_9, v7) = % 37.44/5.80 | | | | | | v8 & k1_funct_1(all_44_6, v7) = v8 & % 37.44/5.80 | | | | | | $i(v8))))))))) % 37.59/5.80 | | | | | | (147) ! [v0: $i] : ( ~ (v1_funct_1(v0) = 0) | ~ $i(v0) | ? % 37.59/5.80 | | | | | | [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? % 37.59/5.80 | | | | | | [v5: $i] : ? [v6: $i] : (k1_relat_1(v0) = v2 & % 37.59/5.80 | | | | | | v1_relat_1(v0) = v1 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | % 37.59/5.80 | | | | | | (( ~ (v2 = all_108_0) | v0 = all_44_6 | (v4 = 0 & ~ % 37.59/5.80 | | | | | | (v6 = v5) & k9_relat_1(all_44_9, v3) = v6 & % 37.59/5.80 | | | | | | r1_tarski(v3, all_44_11) = 0 & k1_funct_1(v0, % 37.59/5.80 | | | | | | v3) = v5 & $i(v6) & $i(v5))) & ( ~ (v0 = % 37.59/5.80 | | | | | | all_44_6) | (v2 = all_108_0 & ! [v7: $i] : ! % 37.59/5.80 | | | | | | [v8: $i] : ( ~ (k9_relat_1(all_44_9, v7) = v8) % 37.59/5.80 | | | | | | | ~ $i(v7) | ? [v9: any] : ? [v10: $i] : % 37.59/5.80 | | | | | | (r1_tarski(v7, all_44_11) = v9 & % 37.59/5.80 | | | | | | k1_funct_1(all_44_6, v7) = v10 & $i(v10) & % 37.59/5.80 | | | | | | ( ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : % 37.59/5.80 | | | | | | ! [v8: $i] : ( ~ (k1_funct_1(all_44_6, v7) = % 37.59/5.80 | | | | | | v8) | ~ $i(v7) | ? [v9: any] : ? [v10: % 37.59/5.80 | | | | | | $i] : (k9_relat_1(all_44_9, v7) = v10 & % 37.59/5.80 | | | | | | r1_tarski(v7, all_44_11) = v9 & $i(v10) & ( % 37.59/5.80 | | | | | | ~ (v9 = 0) | v10 = v8))) & ! [v7: $i] : % 37.59/5.80 | | | | | | ( ~ (r1_tarski(v7, all_44_11) = 0) | ~ $i(v7) % 37.59/5.80 | | | | | | | ? [v8: $i] : (k9_relat_1(all_44_9, v7) = % 37.59/5.80 | | | | | | v8 & k1_funct_1(all_44_6, v7) = v8 & % 37.59/5.80 | | | | | | $i(v8))))))))) % 37.59/5.80 | | | | | | % 37.59/5.80 | | | | | | GROUND_INST: instantiating (146) with all_41_1, simplifying with % 37.59/5.80 | | | | | | (30), (32) gives: % 37.59/5.81 | | | | | | (148) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : % 37.59/5.81 | | | | | | ? [v4: $i] : ? [v5: $i] : (k1_relat_1(all_41_1) = v1 & % 37.59/5.81 | | | | | | v1_funct_1(all_41_1) = v0 & $i(v2) & $i(v1) & ( ~ (v0 = % 37.59/5.81 | | | | | | 0) | (( ~ (v1 = all_108_0) | all_44_6 = all_41_1 | % 37.59/5.81 | | | | | | (v3 = 0 & ~ (v5 = v4) & k9_relat_1(all_44_9, v2) = % 37.59/5.81 | | | | | | v5 & r1_tarski(v2, all_44_11) = 0 & % 37.59/5.81 | | | | | | k1_funct_1(all_41_1, v2) = v4 & $i(v5) & $i(v4))) % 37.59/5.81 | | | | | | & ( ~ (all_44_6 = all_41_1) | (v1 = all_108_0 & ! % 37.59/5.81 | | | | | | [v6: $i] : ! [v7: $i] : ( ~ % 37.59/5.81 | | | | | | (k9_relat_1(all_44_9, v6) = v7) | ~ $i(v6) | % 37.59/5.81 | | | | | | ? [v8: any] : ? [v9: $i] : (r1_tarski(v6, % 37.59/5.81 | | | | | | all_44_11) = v8 & k1_funct_1(all_41_1, v6) % 37.59/5.81 | | | | | | = v9 & $i(v9) & ( ~ (v8 = 0) | v9 = v7))) & % 37.59/5.81 | | | | | | ! [v6: $i] : ! [v7: $i] : ( ~ % 37.59/5.81 | | | | | | (k1_funct_1(all_41_1, v6) = v7) | ~ $i(v6) | % 37.59/5.81 | | | | | | ? [v8: any] : ? [v9: $i] : % 37.59/5.81 | | | | | | (k9_relat_1(all_44_9, v6) = v9 & r1_tarski(v6, % 37.59/5.81 | | | | | | all_44_11) = v8 & $i(v9) & ( ~ (v8 = 0) | % 37.59/5.81 | | | | | | v9 = v7))) & ! [v6: $i] : ( ~ % 37.59/5.81 | | | | | | (r1_tarski(v6, all_44_11) = 0) | ~ $i(v6) | ? % 37.59/5.81 | | | | | | [v7: $i] : (k9_relat_1(all_44_9, v6) = v7 & % 37.59/5.81 | | | | | | k1_funct_1(all_41_1, v6) = v7 & $i(v7)))))))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | DELTA: instantiating (148) with fresh symbols all_151_0, all_151_1, % 37.59/5.81 | | | | | | all_151_2, all_151_3, all_151_4, all_151_5 gives: % 37.59/5.81 | | | | | | (149) k1_relat_1(all_41_1) = all_151_4 & v1_funct_1(all_41_1) = % 37.59/5.81 | | | | | | all_151_5 & $i(all_151_3) & $i(all_151_4) & ( ~ (all_151_5 % 37.59/5.81 | | | | | | = 0) | (( ~ (all_151_4 = all_108_0) | all_44_6 = % 37.59/5.81 | | | | | | all_41_1 | (all_151_2 = 0 & ~ (all_151_0 = % 37.59/5.81 | | | | | | all_151_1) & k9_relat_1(all_44_9, all_151_3) = % 37.59/5.81 | | | | | | all_151_0 & r1_tarski(all_151_3, all_44_11) = 0 & % 37.59/5.81 | | | | | | k1_funct_1(all_41_1, all_151_3) = all_151_1 & % 37.59/5.81 | | | | | | $i(all_151_0) & $i(all_151_1))) & ( ~ (all_44_6 = % 37.59/5.81 | | | | | | all_41_1) | (all_151_4 = all_108_0 & ! [v0: $i] : % 37.59/5.81 | | | | | | ! [v1: $i] : ( ~ (k9_relat_1(all_44_9, v0) = v1) | % 37.59/5.81 | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : % 37.59/5.81 | | | | | | (r1_tarski(v0, all_44_11) = v2 & % 37.59/5.81 | | | | | | k1_funct_1(all_41_1, v0) = v3 & $i(v3) & ( ~ % 37.59/5.81 | | | | | | (v2 = 0) | v3 = v1))) & ! [v0: $i] : ! [v1: % 37.59/5.81 | | | | | | $i] : ( ~ (k1_funct_1(all_41_1, v0) = v1) | ~ % 37.59/5.81 | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : % 37.59/5.81 | | | | | | (k9_relat_1(all_44_9, v0) = v3 & r1_tarski(v0, % 37.59/5.81 | | | | | | all_44_11) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 % 37.59/5.81 | | | | | | = v1))) & ! [v0: $i] : ( ~ (r1_tarski(v0, % 37.59/5.81 | | | | | | all_44_11) = 0) | ~ $i(v0) | ? [v1: $i] : % 37.59/5.81 | | | | | | (k9_relat_1(all_44_9, v0) = v1 & % 37.59/5.81 | | | | | | k1_funct_1(all_41_1, v0) = v1 & $i(v1))))))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | ALPHA: (149) implies: % 37.59/5.81 | | | | | | (150) $i(all_151_4) % 37.59/5.81 | | | | | | (151) k1_relat_1(all_41_1) = all_151_4 % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (18) with all_74_0, all_114_0, all_74_1, % 37.59/5.81 | | | | | | simplifying with (73), (133) gives: % 37.59/5.81 | | | | | | (152) all_114_0 = all_74_0 % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (20) with all_44_2, all_104_0, all_44_3, % 37.59/5.81 | | | | | | simplifying with (44), (132) gives: % 37.59/5.81 | | | | | | (153) all_104_0 = all_44_2 % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (22) with all_74_1, all_151_4, all_41_1, % 37.59/5.81 | | | | | | simplifying with (74), (151) gives: % 37.59/5.81 | | | | | | (154) all_151_4 = all_74_1 % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | REDUCE: (134), (152) imply: % 37.59/5.81 | | | | | | (155) ~ (all_74_0 = 0) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | REDUCE: (89), (153) imply: % 37.59/5.81 | | | | | | (156) r1_tarski(all_104_2, all_44_2) = 0 % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | REDUCE: (150), (154) imply: % 37.59/5.81 | | | | | | (157) $i(all_74_1) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (9) with all_44_2, all_52_0, simplifying % 37.59/5.81 | | | | | | with (40), (67) gives: % 37.59/5.81 | | | | | | (158) all_52_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.81 | | | | | | (k2_relat_1(all_44_2) = v1 & v1_relat_1(all_44_2) = v0 & % 37.59/5.81 | | | | | | v1_xboole_0(v1) = v2 & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = % 37.59/5.81 | | | | | | 0))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (6) with all_44_2, all_52_0, simplifying % 37.59/5.81 | | | | | | with (40), (67) gives: % 37.59/5.81 | | | | | | (159) all_52_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.81 | | | | | | (k1_relat_1(all_44_2) = v1 & v1_relat_1(all_44_2) = v0 & % 37.59/5.81 | | | | | | v1_xboole_0(v1) = v2 & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = % 37.59/5.81 | | | | | | 0))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (13) with all_74_1, all_74_0, simplifying % 37.59/5.81 | | | | | | with (73), (157) gives: % 37.59/5.81 | | | | | | (160) all_74_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( % 37.59/5.81 | | | | | | ~ (v2 = 0) & k1_zfmisc_1(all_74_1) = v0 & m1_subset_1(v1, % 37.59/5.81 | | | | | | v0) = 0 & v1_xboole_0(v1) = v2 & $i(v1) & $i(v0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (146) with all_44_6, simplifying with % 37.59/5.81 | | | | | | (37), (142) gives: % 37.59/5.81 | | | | | | (161) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : % 37.59/5.81 | | | | | | (k1_relat_1(all_44_6) = v1 & v1_funct_1(all_44_6) = v0 & % 37.59/5.81 | | | | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | (v1 = all_108_0 & ! % 37.59/5.81 | | | | | | [v3: $i] : ! [v4: $i] : ( ~ (k9_relat_1(all_44_9, % 37.59/5.81 | | | | | | v3) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: % 37.59/5.81 | | | | | | $i] : (r1_tarski(v3, all_44_11) = v5 & % 37.59/5.81 | | | | | | k1_funct_1(all_44_6, v3) = v6 & $i(v6) & ( ~ (v5 % 37.59/5.81 | | | | | | = 0) | v6 = v4))) & ! [v3: $i] : ! [v4: $i] % 37.59/5.81 | | | | | | : ( ~ (k1_funct_1(all_44_6, v3) = v4) | ~ $i(v3) | % 37.59/5.81 | | | | | | ? [v5: any] : ? [v6: $i] : (k9_relat_1(all_44_9, % 37.59/5.81 | | | | | | v3) = v6 & r1_tarski(v3, all_44_11) = v5 & % 37.59/5.81 | | | | | | $i(v6) & ( ~ (v5 = 0) | v6 = v4))) & ! [v3: $i] % 37.59/5.81 | | | | | | : ( ~ (r1_tarski(v3, all_44_11) = 0) | ~ $i(v3) | ? % 37.59/5.81 | | | | | | [v4: $i] : (k9_relat_1(all_44_9, v3) = v4 & % 37.59/5.81 | | | | | | k1_funct_1(all_44_6, v3) = v4 & $i(v4)))))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (7) with all_44_6, simplifying with (37), % 37.59/5.81 | | | | | | (142) gives: % 37.59/5.81 | | | | | | (162) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.81 | | | | | | (k2_relat_1(all_44_6) = v1 & v1_xboole_0(v1) = v2 & % 37.59/5.81 | | | | | | v1_xboole_0(all_44_6) = v0 & $i(v1) & ( ~ (v2 = 0) | v0 = % 37.59/5.81 | | | | | | 0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (4) with all_44_6, simplifying with (37), % 37.59/5.81 | | | | | | (142) gives: % 37.59/5.81 | | | | | | (163) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.81 | | | | | | (k1_relat_1(all_44_6) = v1 & v1_xboole_0(v1) = v2 & % 37.59/5.81 | | | | | | v1_xboole_0(all_44_6) = v0 & $i(v1) & ( ~ (v2 = 0) | v0 = % 37.59/5.81 | | | | | | 0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (16) with all_58_0, all_44_2, simplifying % 37.59/5.81 | | | | | | with (40), (69), (70) gives: % 37.59/5.81 | | | | | | (164) ? [v0: any] : ? [v1: any] : (v1_xboole_0(all_44_2) = v0 & % 37.59/5.81 | | | | | | r2_hidden(all_58_0, all_44_2) = v1 & (v1 = 0 | v0 = 0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (12) with all_41_1, all_120_2, % 37.59/5.81 | | | | | | simplifying with (30), (114) gives: % 37.59/5.81 | | | | | | (165) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : % 37.59/5.81 | | | | | | ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & m1_subset_1(v1, % 37.59/5.81 | | | | | | all_120_2) = 0 & v1_xboole_0(v1) = v3) | (v0 = 0 & % 37.59/5.81 | | | | | | v1_xboole_0(all_41_1) = 0))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (rc2_subset_1) with all_41_1, all_120_2, % 37.59/5.81 | | | | | | simplifying with (30), (114) gives: % 37.59/5.81 | | | | | | (166) ? [v0: $i] : (m1_subset_1(v0, all_120_2) = 0 & % 37.59/5.81 | | | | | | v1_xboole_0(v0) = 0 & $i(v0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (3) with all_44_4, all_44_2, all_44_6, % 37.59/5.81 | | | | | | all_106_0, simplifying with (37), (38), (40), (95) % 37.59/5.81 | | | | | | gives: % 37.59/5.81 | | | | | | (167) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.81 | | | | | | (m1_relset_1(all_44_6, all_44_4, all_44_2) = v0 & % 37.59/5.81 | | | | | | k1_zfmisc_1(all_44_4) = v1 & m1_subset_1(all_106_0, v1) = % 37.59/5.81 | | | | | | v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (14) with all_44_4, all_44_2, all_44_6, % 37.59/5.81 | | | | | | all_106_0, simplifying with (37), (38), (40), (95) % 37.59/5.81 | | | | | | gives: % 37.59/5.81 | | | | | | (168) ? [v0: any] : ? [v1: $i] : (m1_relset_1(all_44_6, % 37.59/5.81 | | | | | | all_44_4, all_44_2) = v0 & k1_relat_1(all_44_6) = v1 & % 37.59/5.81 | | | | | | $i(v1) & ( ~ (v0 = 0) | v1 = all_106_0)) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (2) with all_44_4, all_44_2, all_44_6, % 37.59/5.81 | | | | | | all_106_0, simplifying with (37), (38), (40), (95) % 37.59/5.81 | | | | | | gives: % 37.59/5.81 | | | | | | (169) ? [v0: any] : ? [v1: any] : (m2_relset_1(all_44_6, % 37.59/5.81 | | | | | | all_44_4, all_44_2) = v0 & v1_funct_2(all_44_6, % 37.59/5.81 | | | | | | all_44_4, all_44_2) = v1 & ( ~ (v0 = 0) | (( ~ % 37.59/5.81 | | | | | | (all_44_2 = k1_xboole_0) | all_44_4 = k1_xboole_0 | % 37.59/5.81 | | | | | | (( ~ (v1 = 0) | all_44_6 = k1_xboole_0) & ( ~ % 37.59/5.81 | | | | | | (all_44_6 = k1_xboole_0) | v1 = 0))) & % 37.59/5.81 | | | | | | ((all_44_2 = k1_xboole_0 & ~ (all_44_4 = % 37.59/5.81 | | | | | | k1_xboole_0)) | (( ~ (v1 = 0) | all_106_0 = % 37.59/5.81 | | | | | | all_44_4) & ( ~ (all_106_0 = all_44_4) | v1 = % 37.59/5.81 | | | | | | 0)))))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (147) with all_44_6, simplifying with % 37.59/5.81 | | | | | | (37), (141) gives: % 37.59/5.81 | | | | | | (170) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : % 37.59/5.81 | | | | | | (k1_relat_1(all_44_6) = v1 & v1_relat_1(all_44_6) = v0 & % 37.59/5.81 | | | | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | (v1 = all_108_0 & ! % 37.59/5.81 | | | | | | [v3: $i] : ! [v4: $i] : ( ~ (k9_relat_1(all_44_9, % 37.59/5.81 | | | | | | v3) = v4) | ~ $i(v3) | ? [v5: any] : ? [v6: % 37.59/5.81 | | | | | | $i] : (r1_tarski(v3, all_44_11) = v5 & % 37.59/5.81 | | | | | | k1_funct_1(all_44_6, v3) = v6 & $i(v6) & ( ~ (v5 % 37.59/5.81 | | | | | | = 0) | v6 = v4))) & ! [v3: $i] : ! [v4: $i] % 37.59/5.81 | | | | | | : ( ~ (k1_funct_1(all_44_6, v3) = v4) | ~ $i(v3) | % 37.59/5.81 | | | | | | ? [v5: any] : ? [v6: $i] : (k9_relat_1(all_44_9, % 37.59/5.81 | | | | | | v3) = v6 & r1_tarski(v3, all_44_11) = v5 & % 37.59/5.81 | | | | | | $i(v6) & ( ~ (v5 = 0) | v6 = v4))) & ! [v3: $i] % 37.59/5.81 | | | | | | : ( ~ (r1_tarski(v3, all_44_11) = 0) | ~ $i(v3) | ? % 37.59/5.81 | | | | | | [v4: $i] : (k9_relat_1(all_44_9, v3) = v4 & % 37.59/5.81 | | | | | | k1_funct_1(all_44_6, v3) = v4 & $i(v4)))))) % 37.59/5.81 | | | | | | % 37.59/5.81 | | | | | | GROUND_INST: instantiating (10) with all_41_1, all_74_1, simplifying % 37.59/5.81 | | | | | | with (30), (74) gives: % 37.59/5.82 | | | | | | (171) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.59/5.82 | | | | | | (v1_relat_1(all_74_1) = v2 & v1_xboole_0(all_74_1) = v1 & % 37.59/5.82 | | | | | | v1_xboole_0(all_41_1) = v0 & ( ~ (v0 = 0) | (v2 = 0 & v1 % 37.59/5.82 | | | | | | = 0))) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | GROUND_INST: instantiating (11) with all_41_1, all_80_1, simplifying % 37.59/5.82 | | | | | | with (30), (77) gives: % 37.59/5.82 | | | | | | (172) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.59/5.82 | | | | | | (v1_relat_1(all_80_1) = v2 & v1_xboole_0(all_80_1) = v1 & % 37.59/5.82 | | | | | | v1_xboole_0(all_41_1) = v0 & ( ~ (v0 = 0) | (v2 = 0 & v1 % 37.59/5.82 | | | | | | = 0))) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | GROUND_INST: instantiating (8) with all_44_6, all_104_2, simplifying % 37.59/5.82 | | | | | | with (37), (131) gives: % 37.59/5.82 | | | | | | (173) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.59/5.82 | | | | | | (v1_relat_1(all_44_6) = v1 & v1_xboole_0(all_104_2) = v2 & % 37.59/5.82 | | | | | | v1_xboole_0(all_44_6) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | % 37.59/5.82 | | | | | | v0 = 0)) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (166) with fresh symbol all_173_0 gives: % 37.59/5.82 | | | | | | (174) m1_subset_1(all_173_0, all_120_2) = 0 & % 37.59/5.82 | | | | | | v1_xboole_0(all_173_0) = 0 & $i(all_173_0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (174) implies: % 37.59/5.82 | | | | | | (175) $i(all_173_0) % 37.59/5.82 | | | | | | (176) v1_xboole_0(all_173_0) = 0 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (164) with fresh symbols all_175_0, all_175_1 % 37.59/5.82 | | | | | | gives: % 37.59/5.82 | | | | | | (177) v1_xboole_0(all_44_2) = all_175_1 & r2_hidden(all_58_0, % 37.59/5.82 | | | | | | all_44_2) = all_175_0 & (all_175_0 = 0 | all_175_1 = 0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (177) implies: % 37.59/5.82 | | | | | | (178) v1_xboole_0(all_44_2) = all_175_1 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (168) with fresh symbols all_215_0, all_215_1 % 37.59/5.82 | | | | | | gives: % 37.59/5.82 | | | | | | (179) m1_relset_1(all_44_6, all_44_4, all_44_2) = all_215_1 & % 37.59/5.82 | | | | | | k1_relat_1(all_44_6) = all_215_0 & $i(all_215_0) & ( ~ % 37.59/5.82 | | | | | | (all_215_1 = 0) | all_215_0 = all_106_0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (179) implies: % 37.59/5.82 | | | | | | (180) k1_relat_1(all_44_6) = all_215_0 % 37.59/5.82 | | | | | | (181) m1_relset_1(all_44_6, all_44_4, all_44_2) = all_215_1 % 37.59/5.82 | | | | | | (182) ~ (all_215_1 = 0) | all_215_0 = all_106_0 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (163) with fresh symbols all_217_0, all_217_1, % 37.59/5.82 | | | | | | all_217_2 gives: % 37.59/5.82 | | | | | | (183) k1_relat_1(all_44_6) = all_217_1 & v1_xboole_0(all_217_1) = % 37.59/5.82 | | | | | | all_217_0 & v1_xboole_0(all_44_6) = all_217_2 & % 37.59/5.82 | | | | | | $i(all_217_1) & ( ~ (all_217_0 = 0) | all_217_2 = 0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (183) implies: % 37.59/5.82 | | | | | | (184) $i(all_217_1) % 37.59/5.82 | | | | | | (185) k1_relat_1(all_44_6) = all_217_1 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (162) with fresh symbols all_223_0, all_223_1, % 37.59/5.82 | | | | | | all_223_2 gives: % 37.59/5.82 | | | | | | (186) k2_relat_1(all_44_6) = all_223_1 & v1_xboole_0(all_223_1) = % 37.59/5.82 | | | | | | all_223_0 & v1_xboole_0(all_44_6) = all_223_2 & % 37.59/5.82 | | | | | | $i(all_223_1) & ( ~ (all_223_0 = 0) | all_223_2 = 0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (186) implies: % 37.59/5.82 | | | | | | (187) k2_relat_1(all_44_6) = all_223_1 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (173) with fresh symbols all_239_0, all_239_1, % 37.59/5.82 | | | | | | all_239_2 gives: % 37.59/5.82 | | | | | | (188) v1_relat_1(all_44_6) = all_239_1 & v1_xboole_0(all_104_2) = % 37.59/5.82 | | | | | | all_239_0 & v1_xboole_0(all_44_6) = all_239_2 & ( ~ % 37.59/5.82 | | | | | | (all_239_0 = 0) | ~ (all_239_1 = 0) | all_239_2 = 0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (188) implies: % 37.59/5.82 | | | | | | (189) v1_relat_1(all_44_6) = all_239_1 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (167) with fresh symbols all_243_0, all_243_1, % 37.59/5.82 | | | | | | all_243_2 gives: % 37.59/5.82 | | | | | | (190) m1_relset_1(all_44_6, all_44_4, all_44_2) = all_243_2 & % 37.59/5.82 | | | | | | k1_zfmisc_1(all_44_4) = all_243_1 & m1_subset_1(all_106_0, % 37.59/5.82 | | | | | | all_243_1) = all_243_0 & $i(all_243_1) & ( ~ (all_243_2 = % 37.59/5.82 | | | | | | 0) | all_243_0 = 0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (190) implies: % 37.59/5.82 | | | | | | (191) m1_relset_1(all_44_6, all_44_4, all_44_2) = all_243_2 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (172) with fresh symbols all_245_0, all_245_1, % 37.59/5.82 | | | | | | all_245_2 gives: % 37.59/5.82 | | | | | | (192) v1_relat_1(all_80_1) = all_245_0 & v1_xboole_0(all_80_1) = % 37.59/5.82 | | | | | | all_245_1 & v1_xboole_0(all_41_1) = all_245_2 & ( ~ % 37.59/5.82 | | | | | | (all_245_2 = 0) | (all_245_0 = 0 & all_245_1 = 0)) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (192) implies: % 37.59/5.82 | | | | | | (193) v1_xboole_0(all_41_1) = all_245_2 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (171) with fresh symbols all_249_0, all_249_1, % 37.59/5.82 | | | | | | all_249_2 gives: % 37.59/5.82 | | | | | | (194) v1_relat_1(all_74_1) = all_249_0 & v1_xboole_0(all_74_1) = % 37.59/5.82 | | | | | | all_249_1 & v1_xboole_0(all_41_1) = all_249_2 & ( ~ % 37.59/5.82 | | | | | | (all_249_2 = 0) | (all_249_0 = 0 & all_249_1 = 0)) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (194) implies: % 37.59/5.82 | | | | | | (195) v1_xboole_0(all_41_1) = all_249_2 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (165) with fresh symbols all_255_0, all_255_1, % 37.59/5.82 | | | | | | all_255_2, all_255_3 gives: % 37.59/5.82 | | | | | | (196) $i(all_255_2) & ((all_255_1 = 0 & ~ (all_255_0 = 0) & % 37.59/5.82 | | | | | | m1_subset_1(all_255_2, all_120_2) = 0 & % 37.59/5.82 | | | | | | v1_xboole_0(all_255_2) = all_255_0) | (all_255_3 = 0 & % 37.59/5.82 | | | | | | v1_xboole_0(all_41_1) = 0)) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (196) implies: % 37.59/5.82 | | | | | | (197) $i(all_255_2) % 37.59/5.82 | | | | | | (198) (all_255_1 = 0 & ~ (all_255_0 = 0) & % 37.59/5.82 | | | | | | m1_subset_1(all_255_2, all_120_2) = 0 & % 37.59/5.82 | | | | | | v1_xboole_0(all_255_2) = all_255_0) | (all_255_3 = 0 & % 37.59/5.82 | | | | | | v1_xboole_0(all_41_1) = 0) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (169) with fresh symbols all_259_0, all_259_1 % 37.59/5.82 | | | | | | gives: % 37.59/5.82 | | | | | | (199) m2_relset_1(all_44_6, all_44_4, all_44_2) = all_259_1 & % 37.59/5.82 | | | | | | v1_funct_2(all_44_6, all_44_4, all_44_2) = all_259_0 & ( ~ % 37.59/5.82 | | | | | | (all_259_1 = 0) | (( ~ (all_44_2 = k1_xboole_0) | % 37.59/5.82 | | | | | | all_44_4 = k1_xboole_0 | (( ~ (all_259_0 = 0) | % 37.59/5.82 | | | | | | all_44_6 = k1_xboole_0) & ( ~ (all_44_6 = % 37.59/5.82 | | | | | | k1_xboole_0) | all_259_0 = 0))) & ((all_44_2 = % 37.59/5.82 | | | | | | k1_xboole_0 & ~ (all_44_4 = k1_xboole_0)) | (( ~ % 37.59/5.82 | | | | | | (all_259_0 = 0) | all_106_0 = all_44_4) & ( ~ % 37.59/5.82 | | | | | | (all_106_0 = all_44_4) | all_259_0 = 0))))) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (199) implies: % 37.59/5.82 | | | | | | (200) m2_relset_1(all_44_6, all_44_4, all_44_2) = all_259_1 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (161) with fresh symbols all_261_0, all_261_1, % 37.59/5.82 | | | | | | all_261_2 gives: % 37.59/5.82 | | | | | | (201) k1_relat_1(all_44_6) = all_261_1 & v1_funct_1(all_44_6) = % 37.59/5.82 | | | | | | all_261_2 & $i(all_261_0) & $i(all_261_1) & ( ~ (all_261_2 % 37.59/5.82 | | | | | | = 0) | (all_261_1 = all_108_0 & ! [v0: $i] : ! [v1: % 37.59/5.82 | | | | | | $i] : ( ~ (k9_relat_1(all_44_9, v0) = v1) | ~ $i(v0) % 37.59/5.82 | | | | | | | ? [v2: any] : ? [v3: $i] : (r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = v2 & k1_funct_1(all_44_6, v0) = v3 & % 37.59/5.82 | | | | | | $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! [v0: $i] : % 37.59/5.82 | | | | | | ! [v1: $i] : ( ~ (k1_funct_1(all_44_6, v0) = v1) | ~ % 37.59/5.82 | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : % 37.59/5.82 | | | | | | (k9_relat_1(all_44_9, v0) = v3 & r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 = % 37.59/5.82 | | | | | | v1))) & ! [v0: $i] : ( ~ (r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = 0) | ~ $i(v0) | ? [v1: $i] : % 37.59/5.82 | | | | | | (k9_relat_1(all_44_9, v0) = v1 & k1_funct_1(all_44_6, % 37.59/5.82 | | | | | | v0) = v1 & $i(v1))))) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (201) implies: % 37.59/5.82 | | | | | | (202) k1_relat_1(all_44_6) = all_261_1 % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | DELTA: instantiating (170) with fresh symbols all_263_0, all_263_1, % 37.59/5.82 | | | | | | all_263_2 gives: % 37.59/5.82 | | | | | | (203) k1_relat_1(all_44_6) = all_263_1 & v1_relat_1(all_44_6) = % 37.59/5.82 | | | | | | all_263_2 & $i(all_263_0) & $i(all_263_1) & ( ~ (all_263_2 % 37.59/5.82 | | | | | | = 0) | (all_263_1 = all_108_0 & ! [v0: $i] : ! [v1: % 37.59/5.82 | | | | | | $i] : ( ~ (k9_relat_1(all_44_9, v0) = v1) | ~ $i(v0) % 37.59/5.82 | | | | | | | ? [v2: any] : ? [v3: $i] : (r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = v2 & k1_funct_1(all_44_6, v0) = v3 & % 37.59/5.82 | | | | | | $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! [v0: $i] : % 37.59/5.82 | | | | | | ! [v1: $i] : ( ~ (k1_funct_1(all_44_6, v0) = v1) | ~ % 37.59/5.82 | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : % 37.59/5.82 | | | | | | (k9_relat_1(all_44_9, v0) = v3 & r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 = % 37.59/5.82 | | | | | | v1))) & ! [v0: $i] : ( ~ (r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = 0) | ~ $i(v0) | ? [v1: $i] : % 37.59/5.82 | | | | | | (k9_relat_1(all_44_9, v0) = v1 & k1_funct_1(all_44_6, % 37.59/5.82 | | | | | | v0) = v1 & $i(v1))))) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | ALPHA: (203) implies: % 37.59/5.82 | | | | | | (204) v1_relat_1(all_44_6) = all_263_2 % 37.59/5.82 | | | | | | (205) k1_relat_1(all_44_6) = all_263_1 % 37.59/5.82 | | | | | | (206) ~ (all_263_2 = 0) | (all_263_1 = all_108_0 & ! [v0: $i] : % 37.59/5.82 | | | | | | ! [v1: $i] : ( ~ (k9_relat_1(all_44_9, v0) = v1) | ~ % 37.59/5.82 | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : (r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = v2 & k1_funct_1(all_44_6, v0) = v3 & % 37.59/5.82 | | | | | | $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! [v0: $i] : ! % 37.59/5.82 | | | | | | [v1: $i] : ( ~ (k1_funct_1(all_44_6, v0) = v1) | ~ % 37.59/5.82 | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : % 37.59/5.82 | | | | | | (k9_relat_1(all_44_9, v0) = v3 & r1_tarski(v0, % 37.59/5.82 | | | | | | all_44_11) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 = % 37.59/5.82 | | | | | | v1))) & ! [v0: $i] : ( ~ (r1_tarski(v0, all_44_11) % 37.59/5.82 | | | | | | = 0) | ~ $i(v0) | ? [v1: $i] : % 37.59/5.82 | | | | | | (k9_relat_1(all_44_9, v0) = v1 & k1_funct_1(all_44_6, % 37.59/5.82 | | | | | | v0) = v1 & $i(v1)))) % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | BETA: splitting (198) gives: % 37.59/5.82 | | | | | | % 37.59/5.82 | | | | | | Case 1: % 37.59/5.82 | | | | | | | % 37.59/5.82 | | | | | | | (207) all_255_1 = 0 & ~ (all_255_0 = 0) & % 37.59/5.82 | | | | | | | m1_subset_1(all_255_2, all_120_2) = 0 & % 37.59/5.82 | | | | | | | v1_xboole_0(all_255_2) = all_255_0 % 37.59/5.82 | | | | | | | % 37.59/5.82 | | | | | | | ALPHA: (207) implies: % 37.59/5.82 | | | | | | | (208) ~ (all_255_0 = 0) % 37.59/5.82 | | | | | | | (209) v1_xboole_0(all_255_2) = all_255_0 % 37.59/5.82 | | | | | | | % 37.59/5.82 | | | | | | | BETA: splitting (158) gives: % 37.59/5.82 | | | | | | | % 37.59/5.82 | | | | | | | Case 1: % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | | (210) all_52_0 = 0 % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | | REDUCE: (66), (210) imply: % 37.59/5.82 | | | | | | | | (211) $false % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | | CLOSE: (211) is inconsistent. % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | Case 2: % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | | (212) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.82 | | | | | | | | (k2_relat_1(all_44_2) = v1 & v1_relat_1(all_44_2) = v0 % 37.59/5.82 | | | | | | | | & v1_xboole_0(v1) = v2 & $i(v1) & ( ~ (v2 = 0) | ~ % 37.59/5.82 | | | | | | | | (v0 = 0))) % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | | DELTA: instantiating (212) with fresh symbols all_320_0, % 37.59/5.82 | | | | | | | | all_320_1, all_320_2 gives: % 37.59/5.82 | | | | | | | | (213) k2_relat_1(all_44_2) = all_320_1 & v1_relat_1(all_44_2) % 37.59/5.82 | | | | | | | | = all_320_2 & v1_xboole_0(all_320_1) = all_320_0 & % 37.59/5.82 | | | | | | | | $i(all_320_1) & ( ~ (all_320_0 = 0) | ~ (all_320_2 = % 37.59/5.82 | | | | | | | | 0)) % 37.59/5.82 | | | | | | | | % 37.59/5.82 | | | | | | | | ALPHA: (213) implies: % 37.59/5.83 | | | | | | | | (214) k2_relat_1(all_44_2) = all_320_1 % 37.59/5.83 | | | | | | | | % 37.59/5.83 | | | | | | | | BETA: splitting (159) gives: % 37.59/5.83 | | | | | | | | % 37.59/5.83 | | | | | | | | Case 1: % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | (215) all_52_0 = 0 % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | REDUCE: (66), (215) imply: % 37.59/5.83 | | | | | | | | | (216) $false % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | CLOSE: (216) is inconsistent. % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | Case 2: % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | (217) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 37.59/5.83 | | | | | | | | | (k1_relat_1(all_44_2) = v1 & v1_relat_1(all_44_2) = % 37.59/5.83 | | | | | | | | | v0 & v1_xboole_0(v1) = v2 & $i(v1) & ( ~ (v2 = 0) | % 37.59/5.83 | | | | | | | | | ~ (v0 = 0))) % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | DELTA: instantiating (217) with fresh symbols all_325_0, % 37.59/5.83 | | | | | | | | | all_325_1, all_325_2 gives: % 37.59/5.83 | | | | | | | | | (218) k1_relat_1(all_44_2) = all_325_1 & % 37.59/5.83 | | | | | | | | | v1_relat_1(all_44_2) = all_325_2 & % 37.59/5.83 | | | | | | | | | v1_xboole_0(all_325_1) = all_325_0 & $i(all_325_1) & % 37.59/5.83 | | | | | | | | | ( ~ (all_325_0 = 0) | ~ (all_325_2 = 0)) % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | ALPHA: (218) implies: % 37.59/5.83 | | | | | | | | | (219) k1_relat_1(all_44_2) = all_325_1 % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | BETA: splitting (160) gives: % 37.59/5.83 | | | | | | | | | % 37.59/5.83 | | | | | | | | | Case 1: % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | (220) all_74_0 = 0 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | REDUCE: (155), (220) imply: % 37.59/5.83 | | | | | | | | | | (221) $false % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | CLOSE: (221) is inconsistent. % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | Case 2: % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (18) with all_52_0, all_175_1, % 37.59/5.83 | | | | | | | | | | all_44_2, simplifying with (67), (178) gives: % 37.59/5.83 | | | | | | | | | | (222) all_175_1 = all_52_0 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_263_2, all_44_6, % 37.59/5.83 | | | | | | | | | | simplifying with (142), (204) gives: % 37.59/5.83 | | | | | | | | | | (223) all_263_2 = 0 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (19) with all_239_1, all_263_2, % 37.59/5.83 | | | | | | | | | | all_44_6, simplifying with (189), (204) gives: % 37.59/5.83 | | | | | | | | | | (224) all_263_2 = all_239_1 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (26) with all_44_0, all_259_1, % 37.59/5.83 | | | | | | | | | | all_44_2, all_44_4, all_44_6, simplifying with % 37.59/5.83 | | | | | | | | | | (47), (200) gives: % 37.59/5.83 | | | | | | | | | | (225) all_259_1 = all_44_0 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (22) with all_217_1, all_261_1, % 37.59/5.83 | | | | | | | | | | all_44_6, simplifying with (185), (202) gives: % 37.59/5.83 | | | | | | | | | | (226) all_261_1 = all_217_1 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (22) with all_261_1, all_263_1, % 37.59/5.83 | | | | | | | | | | all_44_6, simplifying with (202), (205) gives: % 37.59/5.83 | | | | | | | | | | (227) all_263_1 = all_261_1 % 37.59/5.83 | | | | | | | | | | % 37.59/5.83 | | | | | | | | | | GROUND_INST: instantiating (22) with all_215_0, all_263_1, % 37.59/5.83 | | | | | | | | | | all_44_6, simplifying with (180), (205) gives: % 37.59/5.83 | | | | | | | | | | (228) all_263_1 = all_215_0 % 37.59/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | GROUND_INST: instantiating (27) with all_215_1, all_243_2, % 37.69/5.83 | | | | | | | | | | all_44_2, all_44_4, all_44_6, simplifying with % 37.69/5.83 | | | | | | | | | | (181), (191) gives: % 37.69/5.83 | | | | | | | | | | (229) all_243_2 = all_215_1 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | GROUND_INST: instantiating (23) with all_104_2, all_223_1, % 37.69/5.83 | | | | | | | | | | all_44_6, simplifying with (131), (187) gives: % 37.69/5.83 | | | | | | | | | | (230) all_223_1 = all_104_2 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | COMBINE_EQS: (227), (228) imply: % 37.69/5.83 | | | | | | | | | | (231) all_261_1 = all_215_0 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | SIMP: (231) implies: % 37.69/5.83 | | | | | | | | | | (232) all_261_1 = all_215_0 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | COMBINE_EQS: (223), (224) imply: % 37.69/5.83 | | | | | | | | | | (233) all_239_1 = 0 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | COMBINE_EQS: (226), (232) imply: % 37.69/5.83 | | | | | | | | | | (234) all_217_1 = all_215_0 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | SIMP: (234) implies: % 37.69/5.83 | | | | | | | | | | (235) all_217_1 = all_215_0 % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | REDUCE: (184), (235) imply: % 37.69/5.83 | | | | | | | | | | (236) $i(all_215_0) % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | BETA: splitting (206) gives: % 37.69/5.83 | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | Case 1: % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | (237) ~ (all_263_2 = 0) % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | REDUCE: (223), (237) imply: % 37.69/5.83 | | | | | | | | | | | (238) $false % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | CLOSE: (238) is inconsistent. % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | Case 2: % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | (239) all_263_1 = all_108_0 & ! [v0: $i] : ! [v1: $i] % 37.69/5.83 | | | | | | | | | | | : ( ~ (k9_relat_1(all_44_9, v0) = v1) | ~ $i(v0) % 37.69/5.83 | | | | | | | | | | | | ? [v2: any] : ? [v3: $i] : (r1_tarski(v0, % 37.69/5.83 | | | | | | | | | | | all_44_11) = v2 & k1_funct_1(all_44_6, v0) = % 37.69/5.83 | | | | | | | | | | | v3 & $i(v3) & ( ~ (v2 = 0) | v3 = v1))) & ! % 37.69/5.83 | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ (k1_funct_1(all_44_6, % 37.69/5.83 | | | | | | | | | | | v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 37.69/5.83 | | | | | | | | | | | [v3: $i] : (k9_relat_1(all_44_9, v0) = v3 & % 37.69/5.83 | | | | | | | | | | | r1_tarski(v0, all_44_11) = v2 & $i(v3) & ( ~ % 37.69/5.83 | | | | | | | | | | | (v2 = 0) | v3 = v1))) & ! [v0: $i] : ( ~ % 37.69/5.83 | | | | | | | | | | | (r1_tarski(v0, all_44_11) = 0) | ~ $i(v0) | ? % 37.69/5.83 | | | | | | | | | | | [v1: $i] : (k9_relat_1(all_44_9, v0) = v1 & % 37.69/5.83 | | | | | | | | | | | k1_funct_1(all_44_6, v0) = v1 & $i(v1))) % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | ALPHA: (239) implies: % 37.69/5.83 | | | | | | | | | | | (240) all_263_1 = all_108_0 % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | COMBINE_EQS: (228), (240) imply: % 37.69/5.83 | | | | | | | | | | | (241) all_215_0 = all_108_0 % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | COMBINE_EQS: (121), (241) imply: % 37.69/5.83 | | | | | | | | | | | (242) all_215_0 = all_44_4 % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | REDUCE: (180), (242) imply: % 37.69/5.83 | | | | | | | | | | | (243) k1_relat_1(all_44_6) = all_44_4 % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | BETA: splitting (51) gives: % 37.69/5.83 | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | Case 1: % 37.69/5.83 | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | (244) ~ (all_44_0 = 0) % 37.69/5.83 | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | BETA: splitting (61) gives: % 37.69/5.83 | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | Case 1: % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | (245) all_44_0 = 0 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | REDUCE: (244), (245) imply: % 37.69/5.83 | | | | | | | | | | | | | (246) $false % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | CLOSE: (246) is inconsistent. % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | Case 2: % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | (247) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? % 37.69/5.83 | | | | | | | | | | | | | [v3: $i] : ? [v4: any] : (k2_relat_1(all_44_6) = % 37.69/5.83 | | | | | | | | | | | | | v3 & k1_relat_1(all_44_6) = v1 & r1_tarski(v3, % 37.69/5.83 | | | | | | | | | | | | | all_44_2) = v4 & r1_tarski(v1, all_44_4) = v2 % 37.69/5.83 | | | | | | | | | | | | | & v1_relat_1(all_44_6) = v0 & $i(v3) & $i(v1) & % 37.69/5.83 | | | | | | | | | | | | | ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v0 = 0))) % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbols all_440_0, % 37.69/5.83 | | | | | | | | | | | | | all_440_1, all_440_2, all_440_3, all_440_4 gives: % 37.69/5.83 | | | | | | | | | | | | | (248) k2_relat_1(all_44_6) = all_440_1 & % 37.69/5.83 | | | | | | | | | | | | | k1_relat_1(all_44_6) = all_440_3 & % 37.69/5.83 | | | | | | | | | | | | | r1_tarski(all_440_1, all_44_2) = all_440_0 & % 37.69/5.83 | | | | | | | | | | | | | r1_tarski(all_440_3, all_44_4) = all_440_2 & % 37.69/5.83 | | | | | | | | | | | | | v1_relat_1(all_44_6) = all_440_4 & $i(all_440_1) & % 37.69/5.83 | | | | | | | | | | | | | $i(all_440_3) & ( ~ (all_440_0 = 0) | ~ % 37.69/5.83 | | | | | | | | | | | | | (all_440_2 = 0) | ~ (all_440_4 = 0)) % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | ALPHA: (248) implies: % 37.69/5.83 | | | | | | | | | | | | | (249) $i(all_440_3) % 37.69/5.83 | | | | | | | | | | | | | (250) v1_relat_1(all_44_6) = all_440_4 % 37.69/5.83 | | | | | | | | | | | | | (251) r1_tarski(all_440_3, all_44_4) = all_440_2 % 37.69/5.83 | | | | | | | | | | | | | (252) r1_tarski(all_440_1, all_44_2) = all_440_0 % 37.69/5.83 | | | | | | | | | | | | | (253) k1_relat_1(all_44_6) = all_440_3 % 37.69/5.83 | | | | | | | | | | | | | (254) k2_relat_1(all_44_6) = all_440_1 % 37.69/5.83 | | | | | | | | | | | | | (255) ~ (all_440_0 = 0) | ~ (all_440_2 = 0) | ~ % 37.69/5.83 | | | | | | | | | | | | | (all_440_4 = 0) % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | GROUND_INST: instantiating (19) with 0, all_440_4, all_44_6, % 37.69/5.83 | | | | | | | | | | | | | simplifying with (142), (250) gives: % 37.69/5.83 | | | | | | | | | | | | | (256) all_440_4 = 0 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_44_4, all_440_3, % 37.69/5.83 | | | | | | | | | | | | | all_44_6, simplifying with (243), (253) gives: % 37.69/5.83 | | | | | | | | | | | | | (257) all_440_3 = all_44_4 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_104_2, all_440_1, % 37.69/5.83 | | | | | | | | | | | | | all_44_6, simplifying with (131), (254) gives: % 37.69/5.83 | | | | | | | | | | | | | (258) all_440_1 = all_104_2 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | REDUCE: (252), (258) imply: % 37.69/5.83 | | | | | | | | | | | | | (259) r1_tarski(all_104_2, all_44_2) = all_440_0 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | REDUCE: (251), (257) imply: % 37.69/5.83 | | | | | | | | | | | | | (260) r1_tarski(all_44_4, all_44_4) = all_440_2 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_440_0, all_44_2, % 37.69/5.83 | | | | | | | | | | | | | all_104_2, simplifying with (156), (259) gives: % 37.69/5.83 | | | | | | | | | | | | | (261) all_440_0 = 0 % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | BETA: splitting (255) gives: % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | Case 1: % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | (262) ~ (all_440_0 = 0) % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | REDUCE: (261), (262) imply: % 37.69/5.83 | | | | | | | | | | | | | | (263) $false % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | CLOSE: (263) is inconsistent. % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | Case 2: % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | (264) ~ (all_440_2 = 0) | ~ (all_440_4 = 0) % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | BETA: splitting (264) gives: % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | Case 1: % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | (265) ~ (all_440_2 = 0) % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (reflexivity_r1_tarski) with % 37.69/5.83 | | | | | | | | | | | | | | | all_44_4, all_440_2, simplifying with (38), (260) % 37.69/5.83 | | | | | | | | | | | | | | | gives: % 37.69/5.83 | | | | | | | | | | | | | | | (266) all_440_2 = 0 % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | REDUCE: (265), (266) imply: % 37.69/5.83 | | | | | | | | | | | | | | | (267) $false % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent. % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | Case 2: % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | (268) ~ (all_440_4 = 0) % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | REDUCE: (256), (268) imply: % 37.69/5.83 | | | | | | | | | | | | | | | (269) $false % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent. % 37.69/5.83 | | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | | End of split % 37.69/5.83 | | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | | End of split % 37.69/5.83 | | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | End of split % 37.69/5.83 | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | Case 2: % 37.69/5.83 | | | | | | | | | | | | % 37.69/5.83 | | | | | | | | | | | | (270) all_44_0 = 0 % 37.69/5.83 | | | | | | | | | | | | (271) ~ (all_44_1 = 0) | ~ (all_44_5 = 0) % 37.69/5.84 | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | COMBINE_EQS: (122), (270) imply: % 37.69/5.84 | | | | | | | | | | | | (272) all_106_1 = 0 % 37.69/5.84 | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | REDUCE: (47), (270) imply: % 37.69/5.84 | | | | | | | | | | | | (273) m2_relset_1(all_44_6, all_44_4, all_44_2) = 0 % 37.69/5.84 | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | BETA: splitting (271) gives: % 37.69/5.84 | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | Case 1: % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | (274) ~ (all_44_1 = 0) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_173_0, simplifying % 37.69/5.84 | | | | | | | | | | | | | with (175), (176) gives: % 37.69/5.84 | | | | | | | | | | | | | (275) all_173_0 = k1_xboole_0 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_255_2, all_255_0, % 37.69/5.84 | | | | | | | | | | | | | simplifying with (197), (209) gives: % 37.69/5.84 | | | | | | | | | | | | | (276) all_255_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? % 37.69/5.84 | | | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & k1_zfmisc_1(all_255_2) % 37.69/5.84 | | | | | | | | | | | | | = v0 & m1_subset_1(v1, v0) = 0 & v1_xboole_0(v1) % 37.69/5.84 | | | | | | | | | | | | | = v2 & $i(v1) & $i(v0)) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_44_4, all_44_2, % 37.69/5.84 | | | | | | | | | | | | | all_44_6, simplifying with (37), (38), (40), (273) % 37.69/5.84 | | | | | | | | | | | | | gives: % 37.69/5.84 | | | | | | | | | | | | | (277) m1_relset_1(all_44_6, all_44_4, all_44_2) = 0 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_44_2, all_325_1, % 37.69/5.84 | | | | | | | | | | | | | simplifying with (40), (219) gives: % 37.69/5.84 | | | | | | | | | | | | | (278) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.69/5.84 | | | | | | | | | | | | | (v1_relat_1(all_325_1) = v2 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_325_1) = v1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = v0 & ( ~ (v0 = 0) | (v2 % 37.69/5.84 | | | | | | | | | | | | | = 0 & v1 = 0))) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_44_2, all_325_1, % 37.69/5.84 | | | | | | | | | | | | | simplifying with (40), (219) gives: % 37.69/5.84 | | | | | | | | | | | | | (279) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.69/5.84 | | | | | | | | | | | | | (v1_relat_1(all_44_2) = v1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_325_1) = v2 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = v0 & ( ~ (v2 = 0) | ~ % 37.69/5.84 | | | | | | | | | | | | | (v1 = 0) | v0 = 0)) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_44_2, all_320_1, % 37.69/5.84 | | | | | | | | | | | | | simplifying with (40), (214) gives: % 37.69/5.84 | | | | | | | | | | | | | (280) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.69/5.84 | | | | | | | | | | | | | (v1_relat_1(all_320_1) = v2 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_320_1) = v1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = v0 & ( ~ (v0 = 0) | (v2 % 37.69/5.84 | | | | | | | | | | | | | = 0 & v1 = 0))) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_44_2, all_320_1, % 37.69/5.84 | | | | | | | | | | | | | simplifying with (40), (214) gives: % 37.69/5.84 | | | | | | | | | | | | | (281) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 37.69/5.84 | | | | | | | | | | | | | (v1_relat_1(all_44_2) = v1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_320_1) = v2 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = v0 & ( ~ (v2 = 0) | ~ % 37.69/5.84 | | | | | | | | | | | | | (v1 = 0) | v0 = 0)) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | DELTA: instantiating (279) with fresh symbols all_537_0, % 37.69/5.84 | | | | | | | | | | | | | all_537_1, all_537_2 gives: % 37.69/5.84 | | | | | | | | | | | | | (282) v1_relat_1(all_44_2) = all_537_1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_325_1) = all_537_0 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = all_537_2 & ( ~ (all_537_0 % 37.69/5.84 | | | | | | | | | | | | | = 0) | ~ (all_537_1 = 0) | all_537_2 = 0) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | ALPHA: (282) implies: % 37.69/5.84 | | | | | | | | | | | | | (283) v1_xboole_0(all_44_2) = all_537_2 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | DELTA: instantiating (278) with fresh symbols all_539_0, % 37.69/5.84 | | | | | | | | | | | | | all_539_1, all_539_2 gives: % 37.69/5.84 | | | | | | | | | | | | | (284) v1_relat_1(all_325_1) = all_539_0 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_325_1) = all_539_1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = all_539_2 & ( ~ (all_539_2 % 37.69/5.84 | | | | | | | | | | | | | = 0) | (all_539_0 = 0 & all_539_1 = 0)) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | ALPHA: (284) implies: % 37.69/5.84 | | | | | | | | | | | | | (285) v1_xboole_0(all_44_2) = all_539_2 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | DELTA: instantiating (280) with fresh symbols all_563_0, % 37.69/5.84 | | | | | | | | | | | | | all_563_1, all_563_2 gives: % 37.69/5.84 | | | | | | | | | | | | | (286) v1_relat_1(all_320_1) = all_563_0 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_320_1) = all_563_1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = all_563_2 & ( ~ (all_563_2 % 37.69/5.84 | | | | | | | | | | | | | = 0) | (all_563_0 = 0 & all_563_1 = 0)) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | ALPHA: (286) implies: % 37.69/5.84 | | | | | | | | | | | | | (287) v1_xboole_0(all_44_2) = all_563_2 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | DELTA: instantiating (281) with fresh symbols all_583_0, % 37.69/5.84 | | | | | | | | | | | | | all_583_1, all_583_2 gives: % 37.69/5.84 | | | | | | | | | | | | | (288) v1_relat_1(all_44_2) = all_583_1 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_320_1) = all_583_0 & % 37.69/5.84 | | | | | | | | | | | | | v1_xboole_0(all_44_2) = all_583_2 & ( ~ (all_583_0 % 37.69/5.84 | | | | | | | | | | | | | = 0) | ~ (all_583_1 = 0) | all_583_2 = 0) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | ALPHA: (288) implies: % 37.69/5.84 | | | | | | | | | | | | | (289) v1_xboole_0(all_44_2) = all_583_2 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | REDUCE: (176), (275) imply: % 37.69/5.84 | | | | | | | | | | | | | (290) v1_xboole_0(k1_xboole_0) = 0 % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | BETA: splitting (276) gives: % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | Case 1: % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | (291) all_255_0 = 0 % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | REDUCE: (208), (291) imply: % 37.69/5.84 | | | | | | | | | | | | | | (292) $false % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | CLOSE: (292) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | Case 2: % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_215_1, 0, all_44_2, % 37.69/5.84 | | | | | | | | | | | | | | all_44_4, all_44_6, simplifying with (181), (277) % 37.69/5.84 | | | | | | | | | | | | | | gives: % 37.69/5.84 | | | | | | | | | | | | | | (293) all_215_1 = 0 % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | BETA: splitting (182) gives: % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | Case 1: % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | (294) ~ (all_215_1 = 0) % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | REDUCE: (293), (294) imply: % 37.69/5.84 | | | | | | | | | | | | | | | (295) $false % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | CLOSE: (295) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | Case 2: % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | (296) all_215_0 = all_106_0 % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | COMBINE_EQS: (242), (296) imply: % 37.69/5.84 | | | | | | | | | | | | | | | (297) all_106_0 = all_44_4 % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | BETA: splitting (96) gives: % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | Case 1: % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | (298) ~ (all_106_1 = 0) % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | REDUCE: (272), (298) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | (299) $false % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | CLOSE: (299) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | Case 2: % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | (300) ( ~ (all_44_2 = k1_xboole_0) | all_44_4 = % 37.69/5.84 | | | | | | | | | | | | | | | | k1_xboole_0 | (( ~ (all_44_1 = 0) | all_44_6 = % 37.69/5.84 | | | | | | | | | | | | | | | | k1_xboole_0) & ( ~ (all_44_6 = k1_xboole_0) % 37.69/5.84 | | | | | | | | | | | | | | | | | all_44_1 = 0))) & ((all_44_2 = k1_xboole_0 % 37.69/5.84 | | | | | | | | | | | | | | | | & ~ (all_44_4 = k1_xboole_0)) | (( ~ % 37.69/5.84 | | | | | | | | | | | | | | | | (all_106_0 = all_44_4) | all_44_1 = 0) & ( ~ % 37.69/5.84 | | | | | | | | | | | | | | | | (all_44_1 = 0) | all_106_0 = all_44_4))) % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | ALPHA: (300) implies: % 37.69/5.84 | | | | | | | | | | | | | | | | (301) (all_44_2 = k1_xboole_0 & ~ (all_44_4 = % 37.69/5.84 | | | | | | | | | | | | | | | | k1_xboole_0)) | (( ~ (all_106_0 = all_44_4) | % 37.69/5.84 | | | | | | | | | | | | | | | | all_44_1 = 0) & ( ~ (all_44_1 = 0) | all_106_0 % 37.69/5.84 | | | | | | | | | | | | | | | | = all_44_4)) % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | BETA: splitting (301) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | Case 1: % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | (302) all_44_2 = k1_xboole_0 & ~ (all_44_4 = % 37.69/5.84 | | | | | | | | | | | | | | | | | k1_xboole_0) % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | ALPHA: (302) implies: % 37.69/5.84 | | | | | | | | | | | | | | | | | (303) all_44_2 = k1_xboole_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | REDUCE: (289), (303) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (304) v1_xboole_0(k1_xboole_0) = all_583_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | REDUCE: (287), (303) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (305) v1_xboole_0(k1_xboole_0) = all_563_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | REDUCE: (285), (303) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (306) v1_xboole_0(k1_xboole_0) = all_539_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | REDUCE: (283), (303) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (307) v1_xboole_0(k1_xboole_0) = all_537_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | REDUCE: (67), (303) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (308) v1_xboole_0(k1_xboole_0) = all_52_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_563_2, k1_xboole_0, % 37.69/5.84 | | | | | | | | | | | | | | | | | simplifying with (290), (305) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | | (309) all_563_2 = 0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_539_2, all_563_2, % 37.69/5.84 | | | | | | | | | | | | | | | | | k1_xboole_0, simplifying with (305), (306) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | | (310) all_563_2 = all_539_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_537_2, all_563_2, % 37.69/5.84 | | | | | | | | | | | | | | | | | k1_xboole_0, simplifying with (305), (307) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | | (311) all_563_2 = all_537_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_539_2, all_583_2, % 37.69/5.84 | | | | | | | | | | | | | | | | | k1_xboole_0, simplifying with (304), (306) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | | (312) all_583_2 = all_539_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_52_0, all_583_2, % 37.69/5.84 | | | | | | | | | | | | | | | | | k1_xboole_0, simplifying with (304), (308) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | | (313) all_583_2 = all_52_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (313) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (314) all_539_2 = all_52_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | SIMP: (314) implies: % 37.69/5.84 | | | | | | | | | | | | | | | | | (315) all_539_2 = all_52_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (311) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (316) all_539_2 = all_537_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | SIMP: (316) implies: % 37.69/5.84 | | | | | | | | | | | | | | | | | (317) all_539_2 = all_537_2 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (311) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (318) all_537_2 = 0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (317) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (319) all_537_2 = all_52_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | SIMP: (319) implies: % 37.69/5.84 | | | | | | | | | | | | | | | | | (320) all_537_2 = all_52_0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (320) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (321) all_52_0 = 0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | REDUCE: (66), (321) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | (322) $false % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | Case 2: % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | (323) ( ~ (all_106_0 = all_44_4) | all_44_1 = 0) & ( ~ % 37.69/5.84 | | | | | | | | | | | | | | | | | (all_44_1 = 0) | all_106_0 = all_44_4) % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | ALPHA: (323) implies: % 37.69/5.84 | | | | | | | | | | | | | | | | | (324) ~ (all_106_0 = all_44_4) | all_44_1 = 0 % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | BETA: splitting (324) gives: % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | Case 1: % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | | (325) ~ (all_106_0 = all_44_4) % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | | REDUCE: (297), (325) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | | (326) $false % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | Case 2: % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | | (327) all_44_1 = 0 % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | | REDUCE: (274), (327) imply: % 37.69/5.84 | | | | | | | | | | | | | | | | | | (328) $false % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | Case 2: % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | (329) ~ (all_44_5 = 0) % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | REDUCE: (140), (329) imply: % 37.69/5.84 | | | | | | | | | | | | | (330) $false % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | | CLOSE: (330) is inconsistent. % 37.69/5.84 | | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | | % 37.69/5.84 | | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | | % 37.69/5.84 | | | | | | | | | End of split % 37.69/5.84 | | | | | | | | | % 37.69/5.84 | | | | | | | | End of split % 37.69/5.84 | | | | | | | | % 37.69/5.85 | | | | | | | End of split % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | Case 2: % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | (331) all_255_3 = 0 & v1_xboole_0(all_41_1) = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | ALPHA: (331) implies: % 37.69/5.85 | | | | | | | (332) v1_xboole_0(all_41_1) = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | GROUND_INST: instantiating (18) with all_41_0, all_245_2, % 37.69/5.85 | | | | | | | all_41_1, simplifying with (31), (193) gives: % 37.69/5.85 | | | | | | | (333) all_245_2 = all_41_0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | GROUND_INST: instantiating (18) with all_245_2, all_249_2, % 37.69/5.85 | | | | | | | all_41_1, simplifying with (193), (195) gives: % 37.69/5.85 | | | | | | | (334) all_249_2 = all_245_2 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | GROUND_INST: instantiating (18) with 0, all_249_2, all_41_1, % 37.69/5.85 | | | | | | | simplifying with (195), (332) gives: % 37.69/5.85 | | | | | | | (335) all_249_2 = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | COMBINE_EQS: (334), (335) imply: % 37.69/5.85 | | | | | | | (336) all_245_2 = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | SIMP: (336) implies: % 37.69/5.85 | | | | | | | (337) all_245_2 = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | COMBINE_EQS: (333), (337) imply: % 37.69/5.85 | | | | | | | (338) all_41_0 = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | SIMP: (338) implies: % 37.69/5.85 | | | | | | | (339) all_41_0 = 0 % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | REDUCE: (29), (339) imply: % 37.69/5.85 | | | | | | | (340) $false % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | | CLOSE: (340) is inconsistent. % 37.69/5.85 | | | | | | | % 37.69/5.85 | | | | | | End of split % 37.69/5.85 | | | | | | % 37.69/5.85 | | | | | End of split % 37.69/5.85 | | | | | % 37.69/5.85 | | | | End of split % 37.69/5.85 | | | | % 37.69/5.85 | | | Case 2: % 37.69/5.85 | | | | % 37.69/5.85 | | | | (341) ~ (all_114_2 = 0) % 37.69/5.85 | | | | % 37.69/5.85 | | | | REDUCE: (117), (341) imply: % 37.69/5.85 | | | | (342) $false % 37.69/5.85 | | | | % 37.69/5.85 | | | | CLOSE: (342) is inconsistent. % 37.69/5.85 | | | | % 37.69/5.85 | | | End of split % 37.69/5.85 | | | % 37.69/5.85 | | End of split % 37.69/5.85 | | % 37.69/5.85 | End of split % 37.69/5.85 | % 37.69/5.85 End of proof % 37.69/5.85 % SZS output end Proof for theBenchmark % 37.69/5.85 % 37.69/5.85 5242ms %------------------------------------------------------------------------------