%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU447+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 : n003.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 17:44:54 EDT 2023 % Result : Theorem 16.26s 3.03s % Output : Proof 55.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU447+1 : TPTP v8.1.2. Released v3.4.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n003.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 23:22:37 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/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 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 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 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 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 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.36/1.17 Prover 1: Preprocessing ... % 3.36/1.18 Prover 4: Preprocessing ... % 3.36/1.22 Prover 6: Preprocessing ... % 3.36/1.22 Prover 0: Preprocessing ... % 3.36/1.22 Prover 3: Preprocessing ... % 3.36/1.22 Prover 5: Preprocessing ... % 3.36/1.22 Prover 2: Preprocessing ... % 8.14/1.98 Prover 1: Warning: ignoring some quantifiers % 8.63/2.04 Prover 3: Warning: ignoring some quantifiers % 9.46/2.11 Prover 3: Constructing countermodel ... % 9.46/2.12 Prover 6: Proving ... % 9.46/2.12 Prover 1: Constructing countermodel ... % 9.46/2.12 Prover 5: Proving ... % 9.46/2.12 Prover 4: Warning: ignoring some quantifiers % 10.19/2.14 Prover 2: Proving ... % 10.63/2.21 Prover 4: Constructing countermodel ... % 11.37/2.32 Prover 0: Proving ... % 16.26/3.03 Prover 0: proved (2400ms) % 16.26/3.03 % 16.26/3.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.26/3.03 % 16.26/3.03 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 16.26/3.03 Prover 6: stopped % 16.26/3.03 Prover 5: stopped % 16.26/3.03 Prover 2: stopped % 16.26/3.03 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 16.26/3.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 16.26/3.03 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 16.26/3.04 Prover 3: stopped % 16.88/3.05 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 17.67/3.14 Prover 8: Preprocessing ... % 17.72/3.16 Prover 10: Preprocessing ... % 17.72/3.17 Prover 11: Preprocessing ... % 17.72/3.17 Prover 7: Preprocessing ... % 17.72/3.18 Prover 13: Preprocessing ... % 17.72/3.32 Prover 10: Warning: ignoring some quantifiers % 18.34/3.33 Prover 7: Warning: ignoring some quantifiers % 18.34/3.34 Prover 8: Warning: ignoring some quantifiers % 18.34/3.35 Prover 10: Constructing countermodel ... % 18.34/3.36 Prover 8: Constructing countermodel ... % 19.36/3.37 Prover 7: Constructing countermodel ... % 19.36/3.40 Prover 13: Warning: ignoring some quantifiers % 19.36/3.42 Prover 13: Constructing countermodel ... % 19.36/3.44 Prover 11: Warning: ignoring some quantifiers % 20.07/3.47 Prover 11: Constructing countermodel ... % 26.56/4.38 Prover 10: gave up % 27.10/4.40 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 27.10/4.45 Prover 16: Preprocessing ... % 27.74/4.59 Prover 16: Warning: ignoring some quantifiers % 28.14/4.60 Prover 16: Constructing countermodel ... % 36.55/5.68 Prover 13: gave up % 36.55/5.68 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 37.25/5.71 Prover 19: Preprocessing ... % 37.25/5.88 Prover 19: Warning: ignoring some quantifiers % 37.25/5.89 Prover 19: Constructing countermodel ... % 53.83/7.93 Prover 4: Found proof (size 382) % 53.83/7.93 Prover 4: proved (7296ms) % 53.83/7.93 Prover 16: stopped % 53.83/7.93 Prover 7: stopped % 53.83/7.93 Prover 8: stopped % 53.83/7.93 Prover 11: stopped % 53.83/7.93 Prover 1: stopped % 53.83/7.94 Prover 19: stopped % 53.83/7.94 % 53.83/7.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 53.83/7.94 % 54.37/8.00 % SZS output start Proof for theBenchmark % 54.37/8.00 Assumptions after simplification: % 54.37/8.00 --------------------------------- % 54.37/8.00 % 54.37/8.00 (cc1_relset_1) % 54.61/8.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 54.61/8.03 (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, % 54.61/8.03 v4) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | v1_relat_1(v2) = 0) % 54.61/8.03 % 54.61/8.03 (d4_relset_2) % 54.61/8.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.61/8.04 $i] : ( ~ (k3_pua2mss1(v2) = v5) | ~ (k2_zfmisc_1(v0, v1) = v3) | ~ % 54.61/8.04 (k1_zfmisc_1(v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : % 54.61/8.04 ? [v7: any] : (k1_zfmisc_1(v0) = v6 & m1_subset_1(v2, v6) = v7 & $i(v6) & ( % 54.61/8.04 ~ (v7 = 0) | ( ! [v8: $i] : ! [v9: $i] : ( ~ (k6_relset_2(v1, v0, v8) = % 54.61/8.04 v9) | ~ $i(v8) | ? [v10: any] : ? [v11: $i] : ? [v12: $i] : ? % 54.61/8.04 [v13: $i] : (k7_relset_2(v0, v1, v2, v8) = v11 & k4_relset_2(v6, v1, % 54.61/8.04 v9, v5) = v12 & k8_setfam_1(v1, v12) = v13 & m1_subset_1(v8, v4) % 54.61/8.04 = v10 & $i(v13) & $i(v12) & $i(v11) & ( ~ (v10 = 0) | v13 = v11))) % 54.61/8.04 & ! [v8: $i] : ! [v9: $i] : ( ~ (k7_relset_2(v0, v1, v2, v8) = v9) | % 54.61/8.04 ~ $i(v8) | ? [v10: any] : ? [v11: $i] : ? [v12: $i] : ? [v13: % 54.61/8.04 $i] : (k6_relset_2(v1, v0, v8) = v11 & k4_relset_2(v6, v1, v11, % 54.61/8.04 v5) = v12 & k8_setfam_1(v1, v12) = v13 & m1_subset_1(v8, v4) = % 54.61/8.04 v10 & $i(v13) & $i(v12) & $i(v11) & ( ~ (v10 = 0) | v13 = v9))) & % 54.61/8.04 ! [v8: $i] : ( ~ (m1_subset_1(v8, v4) = 0) | ~ $i(v8) | ? [v9: $i] : % 54.61/8.04 ? [v10: $i] : ? [v11: $i] : (k6_relset_2(v1, v0, v8) = v10 & % 54.61/8.04 k7_relset_2(v0, v1, v2, v8) = v9 & k4_relset_2(v6, v1, v10, v5) = % 54.61/8.04 v11 & k8_setfam_1(v1, v11) = v9 & $i(v11) & $i(v10) & $i(v9))))))) % 54.61/8.04 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 54.61/8.05 [v5: $i] : ( ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v4) = v5) | ~ % 54.61/8.05 (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | ~ $i(v2) | ~ % 54.61/8.05 $i(v1) | ~ $i(v0) | ? [v6: $i] : (k3_pua2mss1(v2) = v6 & $i(v6) & ! [v7: % 54.61/8.05 $i] : ! [v8: $i] : ( ~ (k6_relset_2(v1, v0, v7) = v8) | ~ $i(v7) | ? % 54.61/8.05 [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : % 54.61/8.05 (k7_relset_2(v0, v1, v2, v7) = v10 & k4_relset_2(v3, v1, v8, v6) = v11 & % 54.61/8.05 k8_setfam_1(v1, v11) = v12 & m1_subset_1(v7, v5) = v9 & $i(v12) & % 54.61/8.05 $i(v11) & $i(v10) & ( ~ (v9 = 0) | v12 = v10))) & ! [v7: $i] : ! % 54.61/8.05 [v8: $i] : ( ~ (k7_relset_2(v0, v1, v2, v7) = v8) | ~ $i(v7) | ? [v9: % 54.61/8.05 any] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : (k6_relset_2(v1, % 54.61/8.05 v0, v7) = v10 & k4_relset_2(v3, v1, v10, v6) = v11 & k8_setfam_1(v1, % 54.61/8.05 v11) = v12 & m1_subset_1(v7, v5) = v9 & $i(v12) & $i(v11) & $i(v10) % 54.61/8.05 & ( ~ (v9 = 0) | v12 = v8))) & ! [v7: $i] : ( ~ (m1_subset_1(v7, v5) % 54.61/8.05 = 0) | ~ $i(v7) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 54.61/8.05 (k6_relset_2(v1, v0, v7) = v9 & k7_relset_2(v0, v1, v2, v7) = v8 & % 54.61/8.05 k4_relset_2(v3, v1, v9, v6) = v10 & k8_setfam_1(v1, v10) = v8 & % 54.61/8.05 $i(v10) & $i(v9) & $i(v8))))) % 54.61/8.05 % 54.61/8.05 (dt_k10_relset_1) % 54.61/8.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 54.61/8.05 (k10_relset_1(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 54.61/8.05 $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: any] : (m1_relset_1(v2, v0, % 54.61/8.05 v1) = v5 & k1_zfmisc_1(v1) = v6 & m1_subset_1(v4, v6) = v7 & $i(v6) & ( % 54.61/8.05 ~ (v5 = 0) | v7 = 0))) % 54.61/8.05 % 54.61/8.05 (dt_k3_subset_1) % 54.61/8.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_subset_1(v0, v1) = v2) | ~ % 54.61/8.05 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : ? [v5: any] : % 54.61/8.05 (k1_zfmisc_1(v0) = v3 & m1_subset_1(v2, v3) = v5 & m1_subset_1(v1, v3) = v4 % 54.61/8.05 & $i(v3) & ( ~ (v4 = 0) | v5 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 54.61/8.05 $i] : ( ~ (k1_zfmisc_1(v0) = v2) | ~ (m1_subset_1(v1, v2) = 0) | ~ $i(v1) % 54.61/8.05 | ~ $i(v0) | ? [v3: $i] : (k3_subset_1(v0, v1) = v3 & m1_subset_1(v3, v2) % 54.61/8.05 = 0 & $i(v3))) % 54.61/8.05 % 54.61/8.05 (dt_k5_relat_1) % 54.61/8.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ % 54.61/8.05 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 54.61/8.05 (v1_relat_1(v2) = v5 & v1_relat_1(v1) = v4 & v1_relat_1(v0) = v3 & ( ~ (v4 = % 54.61/8.05 0) | ~ (v3 = 0) | v5 = 0))) % 54.61/8.05 % 54.61/8.05 (dt_k8_relset_2) % 54.81/8.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 54.81/8.05 (k8_relset_2(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 54.81/8.05 $i(v0) | ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 54.81/8.05 any] : ? [v10: $i] : ? [v11: any] : (k2_zfmisc_1(v0, v1) = v7 & % 54.81/8.05 k1_zfmisc_1(v7) = v8 & k1_zfmisc_1(v1) = v10 & k1_zfmisc_1(v0) = v5 & % 54.81/8.05 m1_subset_1(v4, v10) = v11 & m1_subset_1(v3, v8) = v9 & m1_subset_1(v2, % 54.81/8.05 v5) = v6 & $i(v10) & $i(v8) & $i(v7) & $i(v5) & ( ~ (v9 = 0) | ~ (v6 = % 54.81/8.05 0) | v11 = 0))) % 54.81/8.05 % 54.81/8.05 (dt_k9_relset_2) % 54.81/8.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.81/8.06 $i] : ( ~ (k9_relset_2(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | % 54.81/8.06 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: any] % 54.81/8.06 : ? [v9: $i] : ? [v10: $i] : ? [v11: any] : ? [v12: any] : % 54.81/8.06 (m2_relset_1(v5, v0, v2) = v12 & k2_zfmisc_1(v1, v2) = v9 & k2_zfmisc_1(v0, % 54.81/8.06 v1) = v6 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v6) = v7 & % 54.81/8.06 m1_subset_1(v4, v10) = v11 & m1_subset_1(v3, v7) = v8 & $i(v10) & $i(v9) & % 54.81/8.06 $i(v7) & $i(v6) & ( ~ (v11 = 0) | ~ (v8 = 0) | v12 = 0))) % 54.81/8.06 % 54.81/8.06 (dt_m2_relset_1) % 54.81/8.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.81/8.06 int] : (v5 = 0 | ~ (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | % 54.81/8.06 ~ (m1_subset_1(v2, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: % 54.81/8.06 int] : ( ~ (v6 = 0) & m2_relset_1(v2, v0, v1) = v6)) & ! [v0: $i] : ! % 54.81/8.06 [v1: $i] : ! [v2: $i] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ % 54.81/8.06 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (k2_zfmisc_1(v0, v1) = v3 & % 54.81/8.06 k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4) = 0 & $i(v4) & $i(v3))) % 54.81/8.06 % 54.81/8.06 (fc10_relat_1) % 54.81/8.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_relat_1(v1, v0) = v2) | ~ % 54.81/8.06 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 54.81/8.06 any] : (v1_relat_1(v2) = v6 & v1_relat_1(v1) = v4 & v1_xboole_0(v2) = v5 & % 54.81/8.06 v1_xboole_0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) % 54.81/8.06 % 54.81/8.06 (fc9_relat_1) % 54.81/8.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ % 54.81/8.06 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 54.81/8.06 any] : (v1_relat_1(v2) = v6 & v1_relat_1(v1) = v4 & v1_xboole_0(v2) = v5 & % 54.81/8.06 v1_xboole_0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) % 54.81/8.06 % 54.81/8.06 (involutiveness_k3_subset_1) % 54.81/8.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_subset_1(v0, v1) = v2) | ~ % 54.81/8.06 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : ? [v5: $i] : % 54.81/8.06 (k3_subset_1(v0, v2) = v5 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 % 54.81/8.06 & $i(v5) & $i(v3) & ( ~ (v4 = 0) | v5 = v1))) & ! [v0: $i] : ! [v1: $i] % 54.81/8.06 : ! [v2: $i] : ( ~ (k1_zfmisc_1(v0) = v2) | ~ (m1_subset_1(v1, v2) = 0) | ~ % 54.81/8.06 $i(v1) | ~ $i(v0) | ? [v3: $i] : (k3_subset_1(v0, v3) = v1 & % 54.81/8.06 k3_subset_1(v0, v1) = v3 & $i(v3))) % 54.81/8.06 % 54.81/8.06 (rc2_subset_1) % 54.81/8.06 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | ? [v2: % 54.81/8.06 $i] : (m1_subset_1(v2, v1) = 0 & v1_xboole_0(v2) = 0 & $i(v2))) % 54.81/8.06 % 54.81/8.06 (redefinition_k10_relset_1) % 54.81/8.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 54.81/8.07 (k10_relset_1(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 54.81/8.07 $i(v0) | ? [v5: any] : ? [v6: $i] : (k9_relat_1(v2, v3) = v6 & % 54.81/8.07 m1_relset_1(v2, v0, v1) = v5 & $i(v6) & ( ~ (v5 = 0) | v6 = v4))) % 54.81/8.07 % 54.81/8.07 (redefinition_k8_relset_2) % 54.81/8.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 54.81/8.07 (k8_relset_2(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 54.81/8.07 $i(v0) | ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 54.81/8.07 any] : ? [v10: $i] : (k7_relset_2(v0, v1, v2, v3) = v10 & k2_zfmisc_1(v0, % 54.81/8.07 v1) = v7 & k1_zfmisc_1(v7) = v8 & k1_zfmisc_1(v0) = v5 & m1_subset_1(v3, % 54.81/8.07 v8) = v9 & m1_subset_1(v2, v5) = v6 & $i(v10) & $i(v8) & $i(v7) & $i(v5) % 54.81/8.07 & ( ~ (v9 = 0) | ~ (v6 = 0) | v10 = v4))) & ! [v0: $i] : ! [v1: $i] : % 54.81/8.07 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k7_relset_2(v0, v1, v2, v3) = % 54.81/8.07 v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? % 54.81/8.07 [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: $i] : % 54.81/8.07 (k8_relset_2(v0, v1, v2, v3) = v10 & k2_zfmisc_1(v0, v1) = v7 & % 54.81/8.07 k1_zfmisc_1(v7) = v8 & k1_zfmisc_1(v0) = v5 & m1_subset_1(v3, v8) = v9 & % 54.81/8.07 m1_subset_1(v2, v5) = v6 & $i(v10) & $i(v8) & $i(v7) & $i(v5) & ( ~ (v9 = % 54.81/8.07 0) | ~ (v6 = 0) | v10 = v4))) % 54.81/8.07 % 54.81/8.07 (redefinition_k9_relset_2) % 54.81/8.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.81/8.07 $i] : ( ~ (k9_relset_2(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | % 54.81/8.07 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: any] % 54.81/8.07 : ? [v9: $i] : ? [v10: $i] : ? [v11: any] : ? [v12: $i] : % 54.81/8.07 (k5_relat_1(v3, v4) = v12 & k2_zfmisc_1(v1, v2) = v9 & k2_zfmisc_1(v0, v1) = % 54.81/8.07 v6 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v6) = v7 & m1_subset_1(v4, v10) = % 54.81/8.07 v11 & m1_subset_1(v3, v7) = v8 & $i(v12) & $i(v10) & $i(v9) & $i(v7) & % 54.81/8.07 $i(v6) & ( ~ (v11 = 0) | ~ (v8 = 0) | v12 = v5))) % 54.81/8.07 % 54.81/8.07 (redefinition_m2_relset_1) % 54.81/8.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 54.81/8.07 (m2_relset_1(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 54.81/8.07 int] : ( ~ (v4 = 0) & m1_relset_1(v2, v0, v1) = v4)) & ! [v0: $i] : ! % 54.81/8.07 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (m1_relset_1(v2, v0, v1) % 54.81/8.07 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & % 54.81/8.07 m2_relset_1(v2, v0, v1) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 54.81/8.07 ( ~ (m2_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 54.81/8.07 m1_relset_1(v2, v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 54.81/8.07 (m1_relset_1(v2, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 54.81/8.07 m2_relset_1(v2, v0, v1) = 0) % 54.81/8.07 % 54.81/8.07 (t159_relat_1) % 54.81/8.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 54.81/8.08 (k9_relat_1(v3, v2) = v4) | ~ (k9_relat_1(v1, v0) = v2) | ~ $i(v3) | ~ % 54.81/8.08 $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] : (( ~ (v5 = % 54.81/8.08 0) & v1_relat_1(v1) = v5) | (k9_relat_1(v6, v0) = v7 & k5_relat_1(v1, % 54.81/8.08 v3) = v6 & v1_relat_1(v3) = v5 & $i(v7) & $i(v6) & ( ~ (v5 = 0) | v7 = % 54.81/8.08 v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 54.81/8.08 [v4: $i] : ( ~ (k9_relat_1(v1, v0) = v2) | ~ (k5_relat_1(v1, v3) = v4) | ~ % 54.81/8.08 $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] : % 54.81/8.08 (( ~ (v5 = 0) & v1_relat_1(v1) = v5) | (k9_relat_1(v4, v0) = v6 & % 54.81/8.08 k9_relat_1(v3, v2) = v7 & v1_relat_1(v3) = v5 & $i(v7) & $i(v6) & ( ~ % 54.81/8.08 (v5 = 0) | v7 = v6)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 54.81/8.08 [v3: $i] : ( ~ (k9_relat_1(v1, v0) = v2) | ~ (v1_relat_1(v3) = 0) | ~ $i(v3) % 54.81/8.08 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ((v6 = % 54.81/8.08 v5 & k9_relat_1(v4, v0) = v5 & k9_relat_1(v3, v2) = v5 & k5_relat_1(v1, % 54.81/8.08 v3) = v4 & $i(v5) & $i(v4)) | ( ~ (v4 = 0) & v1_relat_1(v1) = v4))) % 54.81/8.08 % 54.81/8.08 (t49_relset_2) % 54.81/8.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.81/8.08 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k8_relset_2(v0, v1, v2, v6) = v7) | % 54.81/8.08 ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v4) = v5) | ~ % 54.81/8.08 (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | ~ $i(v6) | ~ % 54.81/8.08 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: $i] : ? [v10: $i] : % 54.81/8.08 ? [v11: $i] : (k9_relat_1(v10, v2) = v11 & k3_subset_1(v4, v6) = v10 & % 54.81/8.08 k3_subset_1(v1, v7) = v9 & m1_subset_1(v6, v5) = v8 & $i(v11) & $i(v10) & % 54.81/8.08 $i(v9) & ( ~ (v8 = 0) | v11 = v9))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 54.81/8.08 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : % 54.81/8.08 ( ~ (k3_subset_1(v4, v6) = v7) | ~ (k2_zfmisc_1(v0, v1) = v4) | ~ % 54.81/8.08 (k1_zfmisc_1(v4) = v5) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) % 54.81/8.08 = 0) | ~ $i(v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? % 54.81/8.08 [v9: $i] : ? [v10: $i] : ? [v11: $i] : (k9_relat_1(v7, v2) = v11 & % 54.81/8.08 k8_relset_2(v0, v1, v2, v6) = v9 & k3_subset_1(v1, v9) = v10 & % 54.81/8.08 m1_subset_1(v6, v5) = v8 & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 % 54.81/8.08 = v10))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 54.81/8.08 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k2_zfmisc_1(v0, v1) = v4) | ~ % 54.81/8.08 (k1_zfmisc_1(v4) = v5) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v6, v5) % 54.81/8.08 = 0) | ~ (m1_subset_1(v2, v3) = 0) | ~ $i(v6) | ~ $i(v2) | ~ $i(v1) | % 54.81/8.08 ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (k9_relat_1(v9, v2) = % 54.81/8.08 v8 & k8_relset_2(v0, v1, v2, v6) = v7 & k3_subset_1(v4, v6) = v9 & % 54.81/8.08 k3_subset_1(v1, v7) = v8 & $i(v9) & $i(v8) & $i(v7))) & ! [v0: $i] : ! % 54.81/8.08 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k2_zfmisc_1(v0, v1) % 54.81/8.08 = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | ~ % 54.81/8.08 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (k1_zfmisc_1(v4) = v5 & % 54.81/8.08 $i(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ (k8_relset_2(v0, v1, v2, v6) = % 54.81/8.08 v7) | ~ $i(v6) | ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: % 54.81/8.08 $i] : (k9_relat_1(v10, v2) = v11 & k3_subset_1(v4, v6) = v10 & % 54.81/8.08 k3_subset_1(v1, v7) = v9 & m1_subset_1(v6, v5) = v8 & $i(v11) & % 54.81/8.08 $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v9))) & ! [v6: $i] : ! [v7: % 54.81/8.08 $i] : ( ~ (k3_subset_1(v4, v6) = v7) | ~ $i(v6) | ? [v8: any] : ? % 54.81/8.08 [v9: $i] : ? [v10: $i] : ? [v11: $i] : (k9_relat_1(v7, v2) = v11 & % 54.81/8.08 k8_relset_2(v0, v1, v2, v6) = v9 & k3_subset_1(v1, v9) = v10 & % 54.81/8.08 m1_subset_1(v6, v5) = v8 & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | % 54.81/8.08 v11 = v10))) & ! [v6: $i] : ( ~ (m1_subset_1(v6, v5) = 0) | ~ % 54.81/8.08 $i(v6) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (k9_relat_1(v9, v2) = % 54.81/8.08 v8 & k8_relset_2(v0, v1, v2, v6) = v7 & k3_subset_1(v4, v6) = v9 & % 54.81/8.08 k3_subset_1(v1, v7) = v8 & $i(v9) & $i(v8) & $i(v7))))) % 54.81/8.08 % 54.81/8.08 (t50_relset_2) % 54.81/8.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.81/8.09 $i] : ! [v6: $i] : ( ~ (k3_subset_1(v4, v5) = v6) | ~ (k2_zfmisc_1(v0, v1) % 54.81/8.09 = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | ~ % 54.81/8.09 $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: $i] : ? % 54.81/8.09 [v9: $i] : ? [v10: $i] : (k8_relset_2(v0, v1, v2, v6) = v10 & % 54.81/8.09 m2_relset_1(v5, v0, v1) = v7 & k3_subset_1(v1, v8) = v9 & k10_relset_1(v0, % 54.81/8.09 v1, v5, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | v10 = % 54.81/8.09 v9))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 54.81/8.09 $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k10_relset_1(v0, v1, v5, v2) = v6) | % 54.81/8.09 ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ % 54.81/8.09 (m1_subset_1(v2, v3) = 0) | ~ $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 54.81/8.09 ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (k8_relset_2(v0, % 54.81/8.09 v1, v2, v9) = v10 & m2_relset_1(v5, v0, v1) = v7 & k3_subset_1(v4, v5) = % 54.81/8.09 v9 & k3_subset_1(v1, v6) = v8 & $i(v10) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | % 54.81/8.09 v10 = v8))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 54.81/8.09 [v4: $i] : ! [v5: $i] : ( ~ (m2_relset_1(v5, v0, v1) = 0) | ~ % 54.81/8.09 (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, % 54.81/8.09 v3) = 0) | ~ $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : % 54.81/8.09 ? [v7: $i] : ? [v8: $i] : (k8_relset_2(v0, v1, v2, v8) = v7 & % 54.81/8.09 k3_subset_1(v4, v5) = v8 & k3_subset_1(v1, v6) = v7 & k10_relset_1(v0, v1, % 54.81/8.09 v5, v2) = v6 & $i(v8) & $i(v7) & $i(v6))) % 54.81/8.09 % 54.81/8.09 (t59_relset_2) % 54.81/8.09 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 54.81/8.09 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 54.81/8.09 ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ( ~ (v14 = v10) & % 54.81/8.09 k9_relset_2(v0, v1, v2, v7, v11) = v12 & k8_relset_2(v1, v2, v8, v9) = v10 & % 54.81/8.09 k8_relset_2(v0, v2, v3, v13) = v14 & m2_relset_1(v9, v1, v2) = 0 & % 54.81/8.09 m2_relset_1(v7, v0, v1) = 0 & k3_subset_1(v6, v9) = v11 & k3_subset_1(v5, % 54.81/8.09 v12) = v13 & k10_relset_1(v0, v1, v7, v3) = v8 & k2_zfmisc_1(v1, v2) = v6 % 54.81/8.09 & k2_zfmisc_1(v0, v2) = v5 & k1_zfmisc_1(v0) = v4 & m1_subset_1(v3, v4) = 0 % 54.81/8.09 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) % 54.81/8.09 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 54.81/8.09 % 54.81/8.09 (function-axioms) % 54.81/8.10 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 54.81/8.10 $i] : ! [v6: $i] : (v1 = v0 | ~ (k9_relset_2(v6, v5, v4, v3, v2) = v1) | % 54.81/8.10 ~ (k9_relset_2(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 54.81/8.10 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ % 54.81/8.10 (k8_relset_2(v5, v4, v3, v2) = v1) | ~ (k8_relset_2(v5, v4, v3, v2) = v0)) % 54.81/8.10 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 54.81/8.10 [v5: $i] : (v1 = v0 | ~ (k10_relset_1(v5, v4, v3, v2) = v1) | ~ % 54.81/8.10 (k10_relset_1(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 54.81/8.10 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ % 54.81/8.10 (k7_relset_2(v5, v4, v3, v2) = v1) | ~ (k7_relset_2(v5, v4, v3, v2) = v0)) % 54.81/8.10 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 54.81/8.10 [v5: $i] : (v1 = v0 | ~ (k4_relset_2(v5, v4, v3, v2) = v1) | ~ % 54.81/8.10 (k4_relset_2(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 54.81/8.10 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 54.81/8.10 (v1_funct_2(v4, v3, v2) = v1) | ~ (v1_funct_2(v4, v3, v2) = v0)) & ! [v0: % 54.81/8.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 54.81/8.10 : ! [v4: $i] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = v1) | ~ % 54.81/8.10 (m2_relset_1(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 54.81/8.10 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 54.81/8.10 (m1_relset_1(v4, v3, v2) = v1) | ~ (m1_relset_1(v4, v3, v2) = v0)) & ! % 54.81/8.10 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | % 54.81/8.10 ~ (k6_relset_2(v4, v3, v2) = v1) | ~ (k6_relset_2(v4, v3, v2) = v0)) & ! % 54.81/8.10 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 54.81/8.10 $i] : (v1 = v0 | ~ (r1_tarski(v3, v2) = v1) | ~ (r1_tarski(v3, v2) = v0)) % 54.81/8.10 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 54.81/8.10 (k9_relat_1(v3, v2) = v1) | ~ (k9_relat_1(v3, v2) = v0)) & ! [v0: $i] : ! % 54.81/8.10 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k5_relset_2(v3, v2) = % 54.81/8.10 v1) | ~ (k5_relset_2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 54.81/8.10 $i] : ! [v3: $i] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ % 54.81/8.10 (k5_relat_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 54.81/8.10 [v3: $i] : (v1 = v0 | ~ (k3_subset_1(v3, v2) = v1) | ~ (k3_subset_1(v3, v2) % 54.81/8.10 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 54.81/8.10 $i] : ! [v3: $i] : (v1 = v0 | ~ (m1_eqrel_1(v3, v2) = v1) | ~ % 54.81/8.10 (m1_eqrel_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 54.81/8.10 [v3: $i] : (v1 = v0 | ~ (k8_setfam_1(v3, v2) = v1) | ~ (k8_setfam_1(v3, v2) % 54.81/8.10 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 % 54.81/8.10 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: % 54.81/8.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 54.81/8.10 : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~ (m1_subset_1(v3, v2) = v0)) & % 54.81/8.10 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 54.81/8.10 $i] : (v1 = v0 | ~ (r2_hidden(v3, v2) = v1) | ~ (r2_hidden(v3, v2) = v0)) % 54.81/8.10 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 % 54.81/8.10 = v0 | ~ (v3_relat_1(v2) = v1) | ~ (v3_relat_1(v2) = v0)) & ! [v0: % 54.81/8.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 54.81/8.10 ~ (v1_funct_1(v2) = v1) | ~ (v1_funct_1(v2) = v0)) & ! [v0: $i] : ! [v1: % 54.81/8.10 $i] : ! [v2: $i] : (v1 = v0 | ~ (k3_pua2mss1(v2) = v1) | ~ % 54.81/8.10 (k3_pua2mss1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 54.81/8.10 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: % 54.81/8.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 54.81/8.10 ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0)) & ! [v0: % 54.81/8.10 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 54.81/8.10 ~ (v1_xboole_0(v2) = v1) | ~ (v1_xboole_0(v2) = v0)) % 54.81/8.10 % 54.81/8.10 Further assumptions not needed in the proof: % 54.81/8.10 -------------------------------------------- % 54.81/8.10 antisymmetry_r2_hidden, cc1_relat_1, dt_k1_xboole_0, dt_k1_zfmisc_1, % 54.81/8.10 dt_k2_zfmisc_1, dt_k3_pua2mss1, dt_k4_relset_2, dt_k5_relset_2, dt_k6_relset_2, % 54.81/8.10 dt_k7_relset_2, dt_k8_setfam_1, dt_k9_relat_1, dt_m1_eqrel_1, dt_m1_relset_1, % 54.81/8.10 dt_m1_subset_1, existence_m1_eqrel_1, existence_m1_relset_1, % 54.81/8.10 existence_m1_subset_1, existence_m2_relset_1, fc12_relat_1, fc1_subset_1, % 54.81/8.10 fc1_sysrel, fc4_relat_1, fc4_subset_1, rc1_relat_1, rc1_subset_1, rc2_partfun1, % 54.81/8.10 rc2_relat_1, rc3_relat_1, redefinition_k4_relset_2, redefinition_k6_relset_2, % 54.81/8.10 reflexivity_r1_tarski, t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, % 54.81/8.10 t6_boole, t7_boole, t8_boole % 54.81/8.10 % 54.81/8.10 Those formulas are unsatisfiable: % 54.81/8.10 --------------------------------- % 54.81/8.10 % 54.81/8.10 Begin of proof % 54.81/8.10 | % 54.81/8.10 | ALPHA: (d4_relset_2) implies: % 54.81/8.10 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.10 | ! [v5: $i] : ( ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v4) = v5) % 54.81/8.10 | | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | ~ % 54.81/8.10 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : (k3_pua2mss1(v2) = v6 % 54.81/8.10 | & $i(v6) & ! [v7: $i] : ! [v8: $i] : ( ~ (k6_relset_2(v1, v0, v7) % 54.81/8.10 | = v8) | ~ $i(v7) | ? [v9: any] : ? [v10: $i] : ? [v11: $i] % 54.81/8.10 | : ? [v12: $i] : (k7_relset_2(v0, v1, v2, v7) = v10 & % 54.81/8.10 | k4_relset_2(v3, v1, v8, v6) = v11 & k8_setfam_1(v1, v11) = v12 % 54.81/8.10 | & m1_subset_1(v7, v5) = v9 & $i(v12) & $i(v11) & $i(v10) & ( ~ % 54.81/8.10 | (v9 = 0) | v12 = v10))) & ! [v7: $i] : ! [v8: $i] : ( ~ % 54.81/8.10 | (k7_relset_2(v0, v1, v2, v7) = v8) | ~ $i(v7) | ? [v9: any] : % 54.81/8.10 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : (k6_relset_2(v1, v0, % 54.81/8.10 | v7) = v10 & k4_relset_2(v3, v1, v10, v6) = v11 & % 54.81/8.10 | k8_setfam_1(v1, v11) = v12 & m1_subset_1(v7, v5) = v9 & $i(v12) % 54.81/8.10 | & $i(v11) & $i(v10) & ( ~ (v9 = 0) | v12 = v8))) & ! [v7: $i] % 54.81/8.10 | : ( ~ (m1_subset_1(v7, v5) = 0) | ~ $i(v7) | ? [v8: $i] : ? [v9: % 54.81/8.10 | $i] : ? [v10: $i] : (k6_relset_2(v1, v0, v7) = v9 & % 54.81/8.10 | k7_relset_2(v0, v1, v2, v7) = v8 & k4_relset_2(v3, v1, v9, v6) % 54.81/8.10 | = v10 & k8_setfam_1(v1, v10) = v8 & $i(v10) & $i(v9) & % 54.81/8.10 | $i(v8))))) % 54.81/8.10 | % 54.81/8.10 | ALPHA: (dt_k3_subset_1) implies: % 54.81/8.11 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_zfmisc_1(v0) = v2) | % 54.81/8.11 | ~ (m1_subset_1(v1, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : % 54.81/8.11 | (k3_subset_1(v0, v1) = v3 & m1_subset_1(v3, v2) = 0 & $i(v3))) % 54.81/8.11 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_subset_1(v0, v1) = % 54.81/8.11 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : ? [v5: % 54.81/8.11 | any] : (k1_zfmisc_1(v0) = v3 & m1_subset_1(v2, v3) = v5 & % 54.81/8.11 | m1_subset_1(v1, v3) = v4 & $i(v3) & ( ~ (v4 = 0) | v5 = 0))) % 54.81/8.11 | % 54.81/8.11 | ALPHA: (dt_m2_relset_1) implies: % 54.81/8.11 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m2_relset_1(v2, v0, v1) % 54.81/8.11 | = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: % 54.81/8.11 | $i] : (k2_zfmisc_1(v0, v1) = v3 & k1_zfmisc_1(v3) = v4 & % 54.81/8.11 | m1_subset_1(v2, v4) = 0 & $i(v4) & $i(v3))) % 54.81/8.11 | % 54.81/8.11 | ALPHA: (involutiveness_k3_subset_1) implies: % 54.81/8.11 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_zfmisc_1(v0) = v2) | % 54.81/8.11 | ~ (m1_subset_1(v1, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : % 54.81/8.11 | (k3_subset_1(v0, v3) = v1 & k3_subset_1(v0, v1) = v3 & $i(v3))) % 54.81/8.11 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_subset_1(v0, v1) = % 54.81/8.11 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: any] : ? [v5: % 54.81/8.11 | $i] : (k3_subset_1(v0, v2) = v5 & k1_zfmisc_1(v0) = v3 & % 54.81/8.11 | m1_subset_1(v1, v3) = v4 & $i(v5) & $i(v3) & ( ~ (v4 = 0) | v5 = % 54.81/8.11 | v1))) % 54.81/8.11 | % 54.81/8.11 | ALPHA: (redefinition_k8_relset_2) implies: % 54.81/8.11 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 54.81/8.11 | ~ (k8_relset_2(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 54.81/8.11 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? % 54.81/8.11 | [v8: $i] : ? [v9: any] : ? [v10: $i] : (k7_relset_2(v0, v1, v2, v3) % 54.81/8.11 | = v10 & k2_zfmisc_1(v0, v1) = v7 & k1_zfmisc_1(v7) = v8 & % 54.81/8.11 | k1_zfmisc_1(v0) = v5 & m1_subset_1(v3, v8) = v9 & m1_subset_1(v2, % 54.81/8.11 | v5) = v6 & $i(v10) & $i(v8) & $i(v7) & $i(v5) & ( ~ (v9 = 0) | ~ % 54.81/8.11 | (v6 = 0) | v10 = v4))) % 54.81/8.11 | % 54.81/8.11 | ALPHA: (redefinition_m2_relset_1) implies: % 54.81/8.11 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (m2_relset_1(v2, v0, v1) % 54.81/8.11 | = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | m1_relset_1(v2, v0, v1) % 54.81/8.11 | = 0) % 54.81/8.11 | % 54.81/8.11 | ALPHA: (t159_relat_1) implies: % 54.81/8.11 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 54.81/8.11 | ~ (k9_relat_1(v1, v0) = v2) | ~ (k5_relat_1(v1, v3) = v4) | ~ % 54.81/8.11 | $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: % 54.81/8.11 | $i] : (( ~ (v5 = 0) & v1_relat_1(v1) = v5) | (k9_relat_1(v4, v0) = % 54.81/8.11 | v6 & k9_relat_1(v3, v2) = v7 & v1_relat_1(v3) = v5 & $i(v7) & % 54.81/8.11 | $i(v6) & ( ~ (v5 = 0) | v7 = v6)))) % 54.81/8.11 | % 54.81/8.11 | ALPHA: (t49_relset_2) implies: % 54.81/8.11 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.11 | ( ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ % 54.81/8.11 | (m1_subset_1(v2, v3) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 54.81/8.11 | [v5: $i] : (k1_zfmisc_1(v4) = v5 & $i(v5) & ! [v6: $i] : ! [v7: % 54.81/8.11 | $i] : ( ~ (k8_relset_2(v0, v1, v2, v6) = v7) | ~ $i(v6) | ? % 54.81/8.11 | [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 54.81/8.11 | (k9_relat_1(v10, v2) = v11 & k3_subset_1(v4, v6) = v10 & % 54.81/8.11 | k3_subset_1(v1, v7) = v9 & m1_subset_1(v6, v5) = v8 & $i(v11) % 54.81/8.11 | & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v9))) & ! [v6: $i] % 54.81/8.11 | : ! [v7: $i] : ( ~ (k3_subset_1(v4, v6) = v7) | ~ $i(v6) | ? % 54.81/8.11 | [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 54.81/8.11 | (k9_relat_1(v7, v2) = v11 & k8_relset_2(v0, v1, v2, v6) = v9 & % 54.81/8.11 | k3_subset_1(v1, v9) = v10 & m1_subset_1(v6, v5) = v8 & $i(v11) % 54.81/8.11 | & $i(v10) & $i(v9) & ( ~ (v8 = 0) | v11 = v10))) & ! [v6: $i] % 54.81/8.11 | : ( ~ (m1_subset_1(v6, v5) = 0) | ~ $i(v6) | ? [v7: $i] : ? % 54.81/8.11 | [v8: $i] : ? [v9: $i] : (k9_relat_1(v9, v2) = v8 & % 54.81/8.11 | k8_relset_2(v0, v1, v2, v6) = v7 & k3_subset_1(v4, v6) = v9 & % 54.81/8.11 | k3_subset_1(v1, v7) = v8 & $i(v9) & $i(v8) & $i(v7))))) % 54.81/8.12 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.12 | ! [v5: $i] : ! [v6: $i] : ( ~ (k2_zfmisc_1(v0, v1) = v4) | ~ % 54.81/8.12 | (k1_zfmisc_1(v4) = v5) | ~ (k1_zfmisc_1(v0) = v3) | ~ % 54.81/8.12 | (m1_subset_1(v6, v5) = 0) | ~ (m1_subset_1(v2, v3) = 0) | ~ $i(v6) % 54.81/8.12 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : ? % 54.81/8.12 | [v9: $i] : (k9_relat_1(v9, v2) = v8 & k8_relset_2(v0, v1, v2, v6) = % 54.81/8.12 | v7 & k3_subset_1(v4, v6) = v9 & k3_subset_1(v1, v7) = v8 & $i(v9) % 54.81/8.12 | & $i(v8) & $i(v7))) % 54.81/8.12 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.12 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k3_subset_1(v4, v6) = % 54.81/8.12 | v7) | ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v4) = v5) | % 54.81/8.12 | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | ~ $i(v6) % 54.81/8.12 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: $i] : % 54.81/8.12 | ? [v10: $i] : ? [v11: $i] : (k9_relat_1(v7, v2) = v11 & % 54.81/8.12 | k8_relset_2(v0, v1, v2, v6) = v9 & k3_subset_1(v1, v9) = v10 & % 54.81/8.12 | m1_subset_1(v6, v5) = v8 & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = % 54.81/8.12 | 0) | v11 = v10))) % 54.81/8.12 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.12 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k8_relset_2(v0, v1, v2, % 54.81/8.12 | v6) = v7) | ~ (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v4) % 54.81/8.12 | = v5) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) = 0) | % 54.81/8.12 | ~ $i(v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? % 54.81/8.12 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : (k9_relat_1(v10, v2) = v11 % 54.81/8.12 | & k3_subset_1(v4, v6) = v10 & k3_subset_1(v1, v7) = v9 & % 54.81/8.12 | m1_subset_1(v6, v5) = v8 & $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = % 54.81/8.12 | 0) | v11 = v9))) % 54.81/8.12 | % 54.81/8.12 | ALPHA: (t50_relset_2) implies: % 54.81/8.13 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.13 | ! [v5: $i] : ( ~ (m2_relset_1(v5, v0, v1) = 0) | ~ (k2_zfmisc_1(v0, % 54.81/8.13 | v1) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ (m1_subset_1(v2, v3) % 54.81/8.13 | = 0) | ~ $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] % 54.81/8.13 | : ? [v7: $i] : ? [v8: $i] : (k8_relset_2(v0, v1, v2, v8) = v7 & % 54.81/8.13 | k3_subset_1(v4, v5) = v8 & k3_subset_1(v1, v6) = v7 & % 54.81/8.13 | k10_relset_1(v0, v1, v5, v2) = v6 & $i(v8) & $i(v7) & $i(v6))) % 54.81/8.13 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.13 | ! [v5: $i] : ! [v6: $i] : ( ~ (k3_subset_1(v4, v5) = v6) | ~ % 54.81/8.13 | (k2_zfmisc_1(v0, v1) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ % 54.81/8.13 | (m1_subset_1(v2, v3) = 0) | ~ $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ % 54.81/8.13 | $i(v0) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 54.81/8.13 | (k8_relset_2(v0, v1, v2, v6) = v10 & m2_relset_1(v5, v0, v1) = v7 & % 54.81/8.13 | k3_subset_1(v1, v8) = v9 & k10_relset_1(v0, v1, v5, v2) = v8 & % 54.81/8.13 | $i(v10) & $i(v9) & $i(v8) & ( ~ (v7 = 0) | v10 = v9))) % 54.81/8.13 | % 54.81/8.13 | ALPHA: (function-axioms) implies: % 54.81/8.13 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 54.81/8.13 | : (v1 = v0 | ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0)) % 54.81/8.13 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 54.81/8.13 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 54.81/8.13 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 54.81/8.13 | : ! [v3: $i] : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~ % 54.81/8.13 | (m1_subset_1(v3, v2) = v0)) % 54.81/8.13 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 54.81/8.13 | (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) % 54.81/8.13 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 54.81/8.13 | (k3_subset_1(v3, v2) = v1) | ~ (k3_subset_1(v3, v2) = v0)) % 54.81/8.13 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 54.81/8.13 | (k9_relat_1(v3, v2) = v1) | ~ (k9_relat_1(v3, v2) = v0)) % 54.81/8.13 | (22) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 54.81/8.13 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m1_relset_1(v4, v3, v2) = % 54.81/8.13 | v1) | ~ (m1_relset_1(v4, v3, v2) = v0)) % 54.81/8.13 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 54.81/8.13 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = % 54.81/8.13 | v1) | ~ (m2_relset_1(v4, v3, v2) = v0)) % 54.81/8.13 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 54.81/8.13 | ! [v5: $i] : (v1 = v0 | ~ (k8_relset_2(v5, v4, v3, v2) = v1) | ~ % 54.81/8.13 | (k8_relset_2(v5, v4, v3, v2) = v0)) % 54.81/8.13 | % 54.81/8.13 | DELTA: instantiating (t59_relset_2) with fresh symbols all_57_0, all_57_1, % 54.81/8.13 | all_57_2, all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, % 54.81/8.13 | all_57_9, all_57_10, all_57_11, all_57_12, all_57_13, all_57_14 gives: % 54.81/8.13 | (25) ~ (all_57_0 = all_57_4) & k9_relset_2(all_57_14, all_57_13, % 54.81/8.13 | all_57_12, all_57_7, all_57_3) = all_57_2 & k8_relset_2(all_57_13, % 54.81/8.13 | all_57_12, all_57_6, all_57_5) = all_57_4 & k8_relset_2(all_57_14, % 54.81/8.13 | all_57_12, all_57_11, all_57_1) = all_57_0 & m2_relset_1(all_57_5, % 54.81/8.13 | all_57_13, all_57_12) = 0 & m2_relset_1(all_57_7, all_57_14, % 54.81/8.13 | all_57_13) = 0 & k3_subset_1(all_57_8, all_57_5) = all_57_3 & % 54.81/8.13 | k3_subset_1(all_57_9, all_57_2) = all_57_1 & k10_relset_1(all_57_14, % 54.81/8.13 | all_57_13, all_57_7, all_57_11) = all_57_6 & k2_zfmisc_1(all_57_13, % 54.81/8.13 | all_57_12) = all_57_8 & k2_zfmisc_1(all_57_14, all_57_12) = all_57_9 % 54.81/8.13 | & k1_zfmisc_1(all_57_14) = all_57_10 & m1_subset_1(all_57_11, % 54.81/8.13 | all_57_10) = 0 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & % 54.81/8.13 | $i(all_57_3) & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & % 54.81/8.13 | $i(all_57_7) & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & % 54.81/8.13 | $i(all_57_11) & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) % 54.81/8.13 | % 54.81/8.13 | ALPHA: (25) implies: % 54.81/8.13 | (26) ~ (all_57_0 = all_57_4) % 54.81/8.13 | (27) $i(all_57_14) % 54.81/8.13 | (28) $i(all_57_13) % 54.81/8.13 | (29) $i(all_57_12) % 54.81/8.13 | (30) $i(all_57_11) % 54.81/8.13 | (31) $i(all_57_8) % 54.81/8.13 | (32) $i(all_57_7) % 54.81/8.13 | (33) $i(all_57_6) % 54.81/8.13 | (34) $i(all_57_5) % 54.81/8.13 | (35) $i(all_57_3) % 54.81/8.13 | (36) $i(all_57_2) % 54.81/8.13 | (37) $i(all_57_1) % 54.81/8.13 | (38) m1_subset_1(all_57_11, all_57_10) = 0 % 54.81/8.13 | (39) k1_zfmisc_1(all_57_14) = all_57_10 % 54.81/8.13 | (40) k2_zfmisc_1(all_57_14, all_57_12) = all_57_9 % 54.81/8.13 | (41) k2_zfmisc_1(all_57_13, all_57_12) = all_57_8 % 54.81/8.13 | (42) k10_relset_1(all_57_14, all_57_13, all_57_7, all_57_11) = all_57_6 % 54.81/8.13 | (43) k3_subset_1(all_57_9, all_57_2) = all_57_1 % 54.81/8.13 | (44) k3_subset_1(all_57_8, all_57_5) = all_57_3 % 54.81/8.13 | (45) m2_relset_1(all_57_7, all_57_14, all_57_13) = 0 % 54.81/8.13 | (46) m2_relset_1(all_57_5, all_57_13, all_57_12) = 0 % 54.81/8.13 | (47) k8_relset_2(all_57_14, all_57_12, all_57_11, all_57_1) = all_57_0 % 54.81/8.13 | (48) k8_relset_2(all_57_13, all_57_12, all_57_6, all_57_5) = all_57_4 % 54.81/8.13 | (49) k9_relset_2(all_57_14, all_57_13, all_57_12, all_57_7, all_57_3) = % 54.81/8.13 | all_57_2 % 54.81/8.13 | % 54.81/8.13 | GROUND_INST: instantiating (rc2_subset_1) with all_57_14, all_57_10, % 54.81/8.13 | simplifying with (27), (39) gives: % 54.81/8.13 | (50) ? [v0: $i] : (m1_subset_1(v0, all_57_10) = 0 & v1_xboole_0(v0) = 0 & % 54.81/8.13 | $i(v0)) % 54.81/8.14 | % 54.81/8.14 | GROUND_INST: instantiating (dt_k10_relset_1) with all_57_14, all_57_13, % 54.81/8.14 | all_57_7, all_57_11, all_57_6, simplifying with (27), (28), (30), % 54.81/8.14 | (32), (42) gives: % 54.81/8.14 | (51) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (m1_relset_1(all_57_7, % 54.81/8.14 | all_57_14, all_57_13) = v0 & k1_zfmisc_1(all_57_13) = v1 & % 54.81/8.14 | m1_subset_1(all_57_6, v1) = v2 & $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 54.81/8.14 | % 54.81/8.14 | GROUND_INST: instantiating (redefinition_k10_relset_1) with all_57_14, % 54.81/8.14 | all_57_13, all_57_7, all_57_11, all_57_6, simplifying with (27), % 54.81/8.14 | (28), (30), (32), (42) gives: % 54.81/8.14 | (52) ? [v0: any] : ? [v1: $i] : (k9_relat_1(all_57_7, all_57_11) = v1 & % 54.81/8.14 | m1_relset_1(all_57_7, all_57_14, all_57_13) = v0 & $i(v1) & ( ~ (v0 % 54.81/8.14 | = 0) | v1 = all_57_6)) % 54.81/8.14 | % 54.81/8.14 | GROUND_INST: instantiating (15) with all_57_14, all_57_12, all_57_11, % 54.81/8.14 | all_57_10, all_57_9, all_57_2, all_57_1, simplifying with (27), % 54.81/8.14 | (29), (30), (36), (38), (39), (40), (43) gives: % 55.23/8.14 | (53) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 55.23/8.14 | (k8_relset_2(all_57_14, all_57_12, all_57_11, all_57_1) = v3 & % 55.23/8.14 | m2_relset_1(all_57_2, all_57_14, all_57_12) = v0 & % 55.23/8.14 | k3_subset_1(all_57_12, v1) = v2 & k10_relset_1(all_57_14, all_57_12, % 55.23/8.14 | all_57_2, all_57_11) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = % 55.23/8.14 | 0) | v3 = v2)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (6) with all_57_8, all_57_5, all_57_3, simplifying % 55.23/8.14 | with (31), (34), (44) gives: % 55.23/8.14 | (54) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : (k3_subset_1(all_57_8, % 55.23/8.14 | all_57_3) = v2 & k1_zfmisc_1(all_57_8) = v0 & % 55.23/8.14 | m1_subset_1(all_57_5, v0) = v1 & $i(v2) & $i(v0) & ( ~ (v1 = 0) | v2 % 55.23/8.14 | = all_57_5)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (3) with all_57_8, all_57_5, all_57_3, simplifying % 55.23/8.14 | with (31), (34), (44) gives: % 55.23/8.14 | (55) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (k1_zfmisc_1(all_57_8) = % 55.23/8.14 | v0 & m1_subset_1(all_57_3, v0) = v2 & m1_subset_1(all_57_5, v0) = v1 % 55.23/8.14 | & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (8) with all_57_14, all_57_13, all_57_7, % 55.23/8.14 | simplifying with (27), (28), (32), (45) gives: % 55.23/8.14 | (56) m1_relset_1(all_57_7, all_57_14, all_57_13) = 0 % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (4) with all_57_14, all_57_13, all_57_7, % 55.23/8.14 | simplifying with (27), (28), (32), (45) gives: % 55.23/8.14 | (57) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(all_57_14, all_57_13) = v0 & % 55.23/8.14 | k1_zfmisc_1(v0) = v1 & m1_subset_1(all_57_7, v1) = 0 & $i(v1) & % 55.23/8.14 | $i(v0)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (4) with all_57_13, all_57_12, all_57_5, % 55.23/8.14 | simplifying with (28), (29), (34), (46) gives: % 55.23/8.14 | (58) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(all_57_13, all_57_12) = v0 & % 55.23/8.14 | k1_zfmisc_1(v0) = v1 & m1_subset_1(all_57_5, v1) = 0 & $i(v1) & % 55.23/8.14 | $i(v0)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (dt_k8_relset_2) with all_57_14, all_57_12, % 55.23/8.14 | all_57_11, all_57_1, all_57_0, simplifying with (27), (29), (30), % 55.23/8.14 | (37), (47) gives: % 55.23/8.14 | (59) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] % 55.23/8.14 | : ? [v5: $i] : ? [v6: any] : (k2_zfmisc_1(all_57_14, all_57_12) = v2 % 55.23/8.14 | & k1_zfmisc_1(v2) = v3 & k1_zfmisc_1(all_57_12) = v5 & % 55.23/8.14 | k1_zfmisc_1(all_57_14) = v0 & m1_subset_1(all_57_0, v5) = v6 & % 55.23/8.14 | m1_subset_1(all_57_1, v3) = v4 & m1_subset_1(all_57_11, v0) = v1 & % 55.23/8.14 | $i(v5) & $i(v3) & $i(v2) & $i(v0) & ( ~ (v4 = 0) | ~ (v1 = 0) | v6 % 55.23/8.14 | = 0)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (7) with all_57_14, all_57_12, all_57_11, all_57_1, % 55.23/8.14 | all_57_0, simplifying with (27), (29), (30), (37), (47) gives: % 55.23/8.14 | (60) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] % 55.23/8.14 | : ? [v5: $i] : (k7_relset_2(all_57_14, all_57_12, all_57_11, % 55.23/8.14 | all_57_1) = v5 & k2_zfmisc_1(all_57_14, all_57_12) = v2 & % 55.23/8.14 | k1_zfmisc_1(v2) = v3 & k1_zfmisc_1(all_57_14) = v0 & % 55.23/8.14 | m1_subset_1(all_57_1, v3) = v4 & m1_subset_1(all_57_11, v0) = v1 & % 55.23/8.14 | $i(v5) & $i(v3) & $i(v2) & $i(v0) & ( ~ (v4 = 0) | ~ (v1 = 0) | v5 % 55.23/8.14 | = all_57_0)) % 55.23/8.14 | % 55.23/8.14 | GROUND_INST: instantiating (dt_k8_relset_2) with all_57_13, all_57_12, % 55.23/8.14 | all_57_6, all_57_5, all_57_4, simplifying with (28), (29), (33), % 55.23/8.14 | (34), (48) gives: % 55.23/8.15 | (61) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] % 55.23/8.15 | : ? [v5: $i] : ? [v6: any] : (k2_zfmisc_1(all_57_13, all_57_12) = v2 % 55.23/8.15 | & k1_zfmisc_1(v2) = v3 & k1_zfmisc_1(all_57_12) = v5 & % 55.23/8.15 | k1_zfmisc_1(all_57_13) = v0 & m1_subset_1(all_57_4, v5) = v6 & % 55.23/8.15 | m1_subset_1(all_57_5, v3) = v4 & m1_subset_1(all_57_6, v0) = v1 & % 55.23/8.15 | $i(v5) & $i(v3) & $i(v2) & $i(v0) & ( ~ (v4 = 0) | ~ (v1 = 0) | v6 % 55.23/8.15 | = 0)) % 55.23/8.15 | % 55.23/8.15 | GROUND_INST: instantiating (7) with all_57_13, all_57_12, all_57_6, all_57_5, % 55.23/8.15 | all_57_4, simplifying with (28), (29), (33), (34), (48) gives: % 55.23/8.15 | (62) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] % 55.23/8.15 | : ? [v5: $i] : (k7_relset_2(all_57_13, all_57_12, all_57_6, all_57_5) % 55.23/8.15 | = v5 & k2_zfmisc_1(all_57_13, all_57_12) = v2 & k1_zfmisc_1(v2) = v3 % 55.23/8.15 | & k1_zfmisc_1(all_57_13) = v0 & m1_subset_1(all_57_5, v3) = v4 & % 55.23/8.15 | m1_subset_1(all_57_6, v0) = v1 & $i(v5) & $i(v3) & $i(v2) & $i(v0) & % 55.23/8.15 | ( ~ (v4 = 0) | ~ (v1 = 0) | v5 = all_57_4)) % 55.23/8.15 | % 55.23/8.15 | GROUND_INST: instantiating (dt_k9_relset_2) with all_57_14, all_57_13, % 55.23/8.15 | all_57_12, all_57_7, all_57_3, all_57_2, simplifying with (27), % 55.23/8.15 | (28), (29), (32), (35), (49) gives: % 55.23/8.15 | (63) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] : % 55.23/8.15 | ? [v5: any] : ? [v6: any] : (m2_relset_1(all_57_2, all_57_14, % 55.23/8.15 | all_57_12) = v6 & k2_zfmisc_1(all_57_13, all_57_12) = v3 & % 55.23/8.15 | k2_zfmisc_1(all_57_14, all_57_13) = v0 & k1_zfmisc_1(v3) = v4 & % 55.23/8.15 | k1_zfmisc_1(v0) = v1 & m1_subset_1(all_57_3, v4) = v5 & % 55.23/8.15 | m1_subset_1(all_57_7, v1) = v2 & $i(v4) & $i(v3) & $i(v1) & $i(v0) & % 55.23/8.15 | ( ~ (v5 = 0) | ~ (v2 = 0) | v6 = 0)) % 55.23/8.15 | % 55.23/8.15 | GROUND_INST: instantiating (redefinition_k9_relset_2) with all_57_14, % 55.23/8.15 | all_57_13, all_57_12, all_57_7, all_57_3, all_57_2, simplifying % 55.23/8.15 | with (27), (28), (29), (32), (35), (49) gives: % 55.23/8.15 | (64) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] : % 55.23/8.15 | ? [v5: any] : ? [v6: $i] : (k5_relat_1(all_57_7, all_57_3) = v6 & % 55.23/8.15 | k2_zfmisc_1(all_57_13, all_57_12) = v3 & k2_zfmisc_1(all_57_14, % 55.23/8.15 | all_57_13) = v0 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v1 & % 55.23/8.15 | m1_subset_1(all_57_3, v4) = v5 & m1_subset_1(all_57_7, v1) = v2 & % 55.23/8.15 | $i(v6) & $i(v4) & $i(v3) & $i(v1) & $i(v0) & ( ~ (v5 = 0) | ~ (v2 = % 55.23/8.15 | 0) | v6 = all_57_2)) % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (50) with fresh symbol all_67_0 gives: % 55.23/8.15 | (65) m1_subset_1(all_67_0, all_57_10) = 0 & v1_xboole_0(all_67_0) = 0 & % 55.23/8.15 | $i(all_67_0) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (65) implies: % 55.23/8.15 | (66) $i(all_67_0) % 55.23/8.15 | (67) m1_subset_1(all_67_0, all_57_10) = 0 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (57) with fresh symbols all_75_0, all_75_1 gives: % 55.23/8.15 | (68) k2_zfmisc_1(all_57_14, all_57_13) = all_75_1 & k1_zfmisc_1(all_75_1) = % 55.23/8.15 | all_75_0 & m1_subset_1(all_57_7, all_75_0) = 0 & $i(all_75_0) & % 55.23/8.15 | $i(all_75_1) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (68) implies: % 55.23/8.15 | (69) m1_subset_1(all_57_7, all_75_0) = 0 % 55.23/8.15 | (70) k1_zfmisc_1(all_75_1) = all_75_0 % 55.23/8.15 | (71) k2_zfmisc_1(all_57_14, all_57_13) = all_75_1 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (52) with fresh symbols all_77_0, all_77_1 gives: % 55.23/8.15 | (72) k9_relat_1(all_57_7, all_57_11) = all_77_0 & m1_relset_1(all_57_7, % 55.23/8.15 | all_57_14, all_57_13) = all_77_1 & $i(all_77_0) & ( ~ (all_77_1 = 0) % 55.23/8.15 | | all_77_0 = all_57_6) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (72) implies: % 55.23/8.15 | (73) $i(all_77_0) % 55.23/8.15 | (74) m1_relset_1(all_57_7, all_57_14, all_57_13) = all_77_1 % 55.23/8.15 | (75) k9_relat_1(all_57_7, all_57_11) = all_77_0 % 55.23/8.15 | (76) ~ (all_77_1 = 0) | all_77_0 = all_57_6 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (58) with fresh symbols all_79_0, all_79_1 gives: % 55.23/8.15 | (77) k2_zfmisc_1(all_57_13, all_57_12) = all_79_1 & k1_zfmisc_1(all_79_1) = % 55.23/8.15 | all_79_0 & m1_subset_1(all_57_5, all_79_0) = 0 & $i(all_79_0) & % 55.23/8.15 | $i(all_79_1) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (77) implies: % 55.23/8.15 | (78) m1_subset_1(all_57_5, all_79_0) = 0 % 55.23/8.15 | (79) k1_zfmisc_1(all_79_1) = all_79_0 % 55.23/8.15 | (80) k2_zfmisc_1(all_57_13, all_57_12) = all_79_1 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (51) with fresh symbols all_85_0, all_85_1, all_85_2 % 55.23/8.15 | gives: % 55.23/8.15 | (81) m1_relset_1(all_57_7, all_57_14, all_57_13) = all_85_2 & % 55.23/8.15 | k1_zfmisc_1(all_57_13) = all_85_1 & m1_subset_1(all_57_6, all_85_1) = % 55.23/8.15 | all_85_0 & $i(all_85_1) & ( ~ (all_85_2 = 0) | all_85_0 = 0) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (81) implies: % 55.23/8.15 | (82) m1_subset_1(all_57_6, all_85_1) = all_85_0 % 55.23/8.15 | (83) k1_zfmisc_1(all_57_13) = all_85_1 % 55.23/8.15 | (84) m1_relset_1(all_57_7, all_57_14, all_57_13) = all_85_2 % 55.23/8.15 | (85) ~ (all_85_2 = 0) | all_85_0 = 0 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (55) with fresh symbols all_89_0, all_89_1, all_89_2 % 55.23/8.15 | gives: % 55.23/8.15 | (86) k1_zfmisc_1(all_57_8) = all_89_2 & m1_subset_1(all_57_3, all_89_2) = % 55.23/8.15 | all_89_0 & m1_subset_1(all_57_5, all_89_2) = all_89_1 & $i(all_89_2) & % 55.23/8.15 | ( ~ (all_89_1 = 0) | all_89_0 = 0) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (86) implies: % 55.23/8.15 | (87) m1_subset_1(all_57_5, all_89_2) = all_89_1 % 55.23/8.15 | (88) m1_subset_1(all_57_3, all_89_2) = all_89_0 % 55.23/8.15 | (89) k1_zfmisc_1(all_57_8) = all_89_2 % 55.23/8.15 | (90) ~ (all_89_1 = 0) | all_89_0 = 0 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (54) with fresh symbols all_93_0, all_93_1, all_93_2 % 55.23/8.15 | gives: % 55.23/8.15 | (91) k3_subset_1(all_57_8, all_57_3) = all_93_0 & k1_zfmisc_1(all_57_8) = % 55.23/8.15 | all_93_2 & m1_subset_1(all_57_5, all_93_2) = all_93_1 & $i(all_93_0) & % 55.23/8.15 | $i(all_93_2) & ( ~ (all_93_1 = 0) | all_93_0 = all_57_5) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (91) implies: % 55.23/8.15 | (92) $i(all_93_0) % 55.23/8.15 | (93) m1_subset_1(all_57_5, all_93_2) = all_93_1 % 55.23/8.15 | (94) k1_zfmisc_1(all_57_8) = all_93_2 % 55.23/8.15 | (95) k3_subset_1(all_57_8, all_57_3) = all_93_0 % 55.23/8.15 | (96) ~ (all_93_1 = 0) | all_93_0 = all_57_5 % 55.23/8.15 | % 55.23/8.15 | DELTA: instantiating (53) with fresh symbols all_97_0, all_97_1, all_97_2, % 55.23/8.15 | all_97_3 gives: % 55.23/8.15 | (97) k8_relset_2(all_57_14, all_57_12, all_57_11, all_57_1) = all_97_0 & % 55.23/8.15 | m2_relset_1(all_57_2, all_57_14, all_57_12) = all_97_3 & % 55.23/8.15 | k3_subset_1(all_57_12, all_97_2) = all_97_1 & k10_relset_1(all_57_14, % 55.23/8.15 | all_57_12, all_57_2, all_57_11) = all_97_2 & $i(all_97_0) & % 55.23/8.15 | $i(all_97_1) & $i(all_97_2) & ( ~ (all_97_3 = 0) | all_97_0 = % 55.23/8.15 | all_97_1) % 55.23/8.15 | % 55.23/8.15 | ALPHA: (97) implies: % 55.23/8.16 | (98) k10_relset_1(all_57_14, all_57_12, all_57_2, all_57_11) = all_97_2 % 55.23/8.16 | (99) k3_subset_1(all_57_12, all_97_2) = all_97_1 % 55.23/8.16 | (100) m2_relset_1(all_57_2, all_57_14, all_57_12) = all_97_3 % 55.23/8.16 | (101) k8_relset_2(all_57_14, all_57_12, all_57_11, all_57_1) = all_97_0 % 55.23/8.16 | (102) ~ (all_97_3 = 0) | all_97_0 = all_97_1 % 55.23/8.16 | % 55.23/8.16 | DELTA: instantiating (60) with fresh symbols all_99_0, all_99_1, all_99_2, % 55.23/8.16 | all_99_3, all_99_4, all_99_5 gives: % 55.23/8.16 | (103) k7_relset_2(all_57_14, all_57_12, all_57_11, all_57_1) = all_99_0 & % 55.23/8.16 | k2_zfmisc_1(all_57_14, all_57_12) = all_99_3 & k1_zfmisc_1(all_99_3) % 55.23/8.16 | = all_99_2 & k1_zfmisc_1(all_57_14) = all_99_5 & % 55.23/8.16 | m1_subset_1(all_57_1, all_99_2) = all_99_1 & m1_subset_1(all_57_11, % 55.23/8.16 | all_99_5) = all_99_4 & $i(all_99_0) & $i(all_99_2) & $i(all_99_3) & % 55.23/8.16 | $i(all_99_5) & ( ~ (all_99_1 = 0) | ~ (all_99_4 = 0) | all_99_0 = % 55.23/8.16 | all_57_0) % 55.23/8.16 | % 55.23/8.16 | ALPHA: (103) implies: % 55.23/8.16 | (104) k1_zfmisc_1(all_57_14) = all_99_5 % 55.23/8.16 | (105) k2_zfmisc_1(all_57_14, all_57_12) = all_99_3 % 55.23/8.16 | % 55.23/8.16 | DELTA: instantiating (62) with fresh symbols all_101_0, all_101_1, all_101_2, % 55.23/8.16 | all_101_3, all_101_4, all_101_5 gives: % 55.23/8.16 | (106) k7_relset_2(all_57_13, all_57_12, all_57_6, all_57_5) = all_101_0 & % 55.23/8.16 | k2_zfmisc_1(all_57_13, all_57_12) = all_101_3 & % 55.23/8.16 | k1_zfmisc_1(all_101_3) = all_101_2 & k1_zfmisc_1(all_57_13) = % 55.23/8.16 | all_101_5 & m1_subset_1(all_57_5, all_101_2) = all_101_1 & % 55.23/8.16 | m1_subset_1(all_57_6, all_101_5) = all_101_4 & $i(all_101_0) & % 55.23/8.16 | $i(all_101_2) & $i(all_101_3) & $i(all_101_5) & ( ~ (all_101_1 = 0) | % 55.23/8.16 | ~ (all_101_4 = 0) | all_101_0 = all_57_4) % 55.23/8.16 | % 55.23/8.16 | ALPHA: (106) implies: % 55.23/8.16 | (107) $i(all_101_0) % 55.23/8.16 | (108) m1_subset_1(all_57_6, all_101_5) = all_101_4 % 55.23/8.16 | (109) m1_subset_1(all_57_5, all_101_2) = all_101_1 % 55.23/8.16 | (110) k1_zfmisc_1(all_57_13) = all_101_5 % 55.23/8.16 | (111) k1_zfmisc_1(all_101_3) = all_101_2 % 55.23/8.16 | (112) k2_zfmisc_1(all_57_13, all_57_12) = all_101_3 % 55.23/8.16 | (113) k7_relset_2(all_57_13, all_57_12, all_57_6, all_57_5) = all_101_0 % 55.23/8.16 | (114) ~ (all_101_1 = 0) | ~ (all_101_4 = 0) | all_101_0 = all_57_4 % 55.23/8.16 | % 55.23/8.16 | DELTA: instantiating (61) with fresh symbols all_103_0, all_103_1, all_103_2, % 55.23/8.16 | all_103_3, all_103_4, all_103_5, all_103_6 gives: % 55.23/8.16 | (115) k2_zfmisc_1(all_57_13, all_57_12) = all_103_4 & % 55.23/8.16 | k1_zfmisc_1(all_103_4) = all_103_3 & k1_zfmisc_1(all_57_12) = % 55.23/8.16 | all_103_1 & k1_zfmisc_1(all_57_13) = all_103_6 & % 55.23/8.16 | m1_subset_1(all_57_4, all_103_1) = all_103_0 & m1_subset_1(all_57_5, % 55.23/8.16 | all_103_3) = all_103_2 & m1_subset_1(all_57_6, all_103_6) = % 55.23/8.16 | all_103_5 & $i(all_103_1) & $i(all_103_3) & $i(all_103_4) & % 55.23/8.16 | $i(all_103_6) & ( ~ (all_103_2 = 0) | ~ (all_103_5 = 0) | all_103_0 % 55.23/8.16 | = 0) % 55.23/8.16 | % 55.23/8.16 | ALPHA: (115) implies: % 55.23/8.16 | (116) m1_subset_1(all_57_6, all_103_6) = all_103_5 % 55.23/8.16 | (117) m1_subset_1(all_57_5, all_103_3) = all_103_2 % 55.23/8.16 | (118) m1_subset_1(all_57_4, all_103_1) = all_103_0 % 55.23/8.16 | (119) k1_zfmisc_1(all_57_13) = all_103_6 % 55.23/8.16 | (120) k1_zfmisc_1(all_57_12) = all_103_1 % 55.23/8.16 | (121) k1_zfmisc_1(all_103_4) = all_103_3 % 55.23/8.16 | (122) k2_zfmisc_1(all_57_13, all_57_12) = all_103_4 % 55.23/8.16 | (123) ~ (all_103_2 = 0) | ~ (all_103_5 = 0) | all_103_0 = 0 % 55.23/8.16 | % 55.23/8.16 | DELTA: instantiating (63) with fresh symbols all_105_0, all_105_1, all_105_2, % 55.23/8.16 | all_105_3, all_105_4, all_105_5, all_105_6 gives: % 55.23/8.16 | (124) m2_relset_1(all_57_2, all_57_14, all_57_12) = all_105_0 & % 55.23/8.16 | k2_zfmisc_1(all_57_13, all_57_12) = all_105_3 & % 55.23/8.16 | k2_zfmisc_1(all_57_14, all_57_13) = all_105_6 & % 55.23/8.16 | k1_zfmisc_1(all_105_3) = all_105_2 & k1_zfmisc_1(all_105_6) = % 55.23/8.16 | all_105_5 & m1_subset_1(all_57_3, all_105_2) = all_105_1 & % 55.23/8.16 | m1_subset_1(all_57_7, all_105_5) = all_105_4 & $i(all_105_2) & % 55.23/8.16 | $i(all_105_3) & $i(all_105_5) & $i(all_105_6) & ( ~ (all_105_1 = 0) | % 55.23/8.16 | ~ (all_105_4 = 0) | all_105_0 = 0) % 55.23/8.16 | % 55.23/8.16 | ALPHA: (124) implies: % 55.23/8.16 | (125) m1_subset_1(all_57_7, all_105_5) = all_105_4 % 55.23/8.16 | (126) m1_subset_1(all_57_3, all_105_2) = all_105_1 % 55.23/8.16 | (127) k1_zfmisc_1(all_105_6) = all_105_5 % 55.23/8.16 | (128) k1_zfmisc_1(all_105_3) = all_105_2 % 55.23/8.16 | (129) k2_zfmisc_1(all_57_14, all_57_13) = all_105_6 % 55.23/8.16 | (130) k2_zfmisc_1(all_57_13, all_57_12) = all_105_3 % 55.23/8.16 | (131) m2_relset_1(all_57_2, all_57_14, all_57_12) = all_105_0 % 55.23/8.16 | (132) ~ (all_105_1 = 0) | ~ (all_105_4 = 0) | all_105_0 = 0 % 55.23/8.16 | % 55.23/8.16 | DELTA: instantiating (59) with fresh symbols all_107_0, all_107_1, all_107_2, % 55.23/8.16 | all_107_3, all_107_4, all_107_5, all_107_6 gives: % 55.23/8.16 | (133) k2_zfmisc_1(all_57_14, all_57_12) = all_107_4 & % 55.23/8.16 | k1_zfmisc_1(all_107_4) = all_107_3 & k1_zfmisc_1(all_57_12) = % 55.23/8.16 | all_107_1 & k1_zfmisc_1(all_57_14) = all_107_6 & % 55.23/8.16 | m1_subset_1(all_57_0, all_107_1) = all_107_0 & m1_subset_1(all_57_1, % 55.23/8.16 | all_107_3) = all_107_2 & m1_subset_1(all_57_11, all_107_6) = % 55.23/8.16 | all_107_5 & $i(all_107_1) & $i(all_107_3) & $i(all_107_4) & % 55.23/8.16 | $i(all_107_6) & ( ~ (all_107_2 = 0) | ~ (all_107_5 = 0) | all_107_0 % 55.23/8.16 | = 0) % 55.23/8.16 | % 55.23/8.16 | ALPHA: (133) implies: % 55.23/8.16 | (134) k1_zfmisc_1(all_57_14) = all_107_6 % 55.23/8.16 | (135) k1_zfmisc_1(all_57_12) = all_107_1 % 55.23/8.16 | (136) k2_zfmisc_1(all_57_14, all_57_12) = all_107_4 % 55.23/8.16 | % 55.23/8.16 | DELTA: instantiating (64) with fresh symbols all_109_0, all_109_1, all_109_2, % 55.23/8.16 | all_109_3, all_109_4, all_109_5, all_109_6 gives: % 55.23/8.16 | (137) k5_relat_1(all_57_7, all_57_3) = all_109_0 & k2_zfmisc_1(all_57_13, % 55.23/8.16 | all_57_12) = all_109_3 & k2_zfmisc_1(all_57_14, all_57_13) = % 55.23/8.16 | all_109_6 & k1_zfmisc_1(all_109_3) = all_109_2 & % 55.23/8.16 | k1_zfmisc_1(all_109_6) = all_109_5 & m1_subset_1(all_57_3, all_109_2) % 55.23/8.16 | = all_109_1 & m1_subset_1(all_57_7, all_109_5) = all_109_4 & % 55.23/8.16 | $i(all_109_0) & $i(all_109_2) & $i(all_109_3) & $i(all_109_5) & % 55.23/8.16 | $i(all_109_6) & ( ~ (all_109_1 = 0) | ~ (all_109_4 = 0) | all_109_0 % 55.23/8.16 | = all_57_2) % 55.23/8.16 | % 55.23/8.16 | ALPHA: (137) implies: % 55.23/8.16 | (138) $i(all_109_0) % 55.23/8.16 | (139) m1_subset_1(all_57_7, all_109_5) = all_109_4 % 55.23/8.16 | (140) m1_subset_1(all_57_3, all_109_2) = all_109_1 % 55.23/8.16 | (141) k1_zfmisc_1(all_109_6) = all_109_5 % 55.23/8.16 | (142) k1_zfmisc_1(all_109_3) = all_109_2 % 55.23/8.16 | (143) k2_zfmisc_1(all_57_14, all_57_13) = all_109_6 % 55.23/8.16 | (144) k2_zfmisc_1(all_57_13, all_57_12) = all_109_3 % 55.23/8.16 | (145) k5_relat_1(all_57_7, all_57_3) = all_109_0 % 55.23/8.16 | (146) ~ (all_109_1 = 0) | ~ (all_109_4 = 0) | all_109_0 = all_57_2 % 55.23/8.16 | % 55.23/8.16 | GROUND_INST: instantiating (17) with all_57_10, all_107_6, all_57_14, % 55.23/8.16 | simplifying with (39), (134) gives: % 55.23/8.16 | (147) all_107_6 = all_57_10 % 55.23/8.16 | % 55.23/8.16 | GROUND_INST: instantiating (17) with all_99_5, all_107_6, all_57_14, % 55.23/8.16 | simplifying with (104), (134) gives: % 55.23/8.16 | (148) all_107_6 = all_99_5 % 55.23/8.16 | % 55.23/8.16 | GROUND_INST: instantiating (17) with all_101_5, all_103_6, all_57_13, % 55.23/8.16 | simplifying with (110), (119) gives: % 55.23/8.16 | (149) all_103_6 = all_101_5 % 55.23/8.16 | % 55.23/8.16 | GROUND_INST: instantiating (17) with all_85_1, all_103_6, all_57_13, % 55.23/8.16 | simplifying with (83), (119) gives: % 55.23/8.16 | (150) all_103_6 = all_85_1 % 55.23/8.16 | % 55.23/8.17 | GROUND_INST: instantiating (17) with all_103_1, all_107_1, all_57_12, % 55.23/8.17 | simplifying with (120), (135) gives: % 55.23/8.17 | (151) all_107_1 = all_103_1 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (17) with all_89_2, all_93_2, all_57_8, simplifying % 55.23/8.17 | with (89), (94) gives: % 55.23/8.17 | (152) all_93_2 = all_89_2 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_105_6, all_109_6, all_57_13, % 55.23/8.17 | all_57_14, simplifying with (129), (143) gives: % 55.23/8.17 | (153) all_109_6 = all_105_6 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_75_1, all_109_6, all_57_13, % 55.23/8.17 | all_57_14, simplifying with (71), (143) gives: % 55.23/8.17 | (154) all_109_6 = all_75_1 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_57_9, all_107_4, all_57_12, % 55.23/8.17 | all_57_14, simplifying with (40), (136) gives: % 55.23/8.17 | (155) all_107_4 = all_57_9 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_99_3, all_107_4, all_57_12, % 55.23/8.17 | all_57_14, simplifying with (105), (136) gives: % 55.23/8.17 | (156) all_107_4 = all_99_3 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_79_1, all_101_3, all_57_12, % 55.23/8.17 | all_57_13, simplifying with (80), (112) gives: % 55.23/8.17 | (157) all_101_3 = all_79_1 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_101_3, all_103_4, all_57_12, % 55.23/8.17 | all_57_13, simplifying with (112), (122) gives: % 55.23/8.17 | (158) all_103_4 = all_101_3 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_103_4, all_105_3, all_57_12, % 55.23/8.17 | all_57_13, simplifying with (122), (130) gives: % 55.23/8.17 | (159) all_105_3 = all_103_4 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_57_8, all_109_3, all_57_12, % 55.23/8.17 | all_57_13, simplifying with (41), (144) gives: % 55.23/8.17 | (160) all_109_3 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (19) with all_105_3, all_109_3, all_57_12, % 55.23/8.17 | all_57_13, simplifying with (130), (144) gives: % 55.23/8.17 | (161) all_109_3 = all_105_3 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (22) with all_77_1, all_85_2, all_57_13, all_57_14, % 55.23/8.17 | all_57_7, simplifying with (74), (84) gives: % 55.23/8.17 | (162) all_85_2 = all_77_1 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (22) with 0, all_85_2, all_57_13, all_57_14, % 55.23/8.17 | all_57_7, simplifying with (56), (84) gives: % 55.23/8.17 | (163) all_85_2 = 0 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (23) with all_97_3, all_105_0, all_57_12, % 55.23/8.17 | all_57_14, all_57_2, simplifying with (100), (131) gives: % 55.23/8.17 | (164) all_105_0 = all_97_3 % 55.23/8.17 | % 55.23/8.17 | GROUND_INST: instantiating (24) with all_57_0, all_97_0, all_57_1, all_57_11, % 55.23/8.17 | all_57_12, all_57_14, simplifying with (47), (101) gives: % 55.23/8.17 | (165) all_97_0 = all_57_0 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (160), (161) imply: % 55.23/8.17 | (166) all_105_3 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | SIMP: (166) implies: % 55.23/8.17 | (167) all_105_3 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (153), (154) imply: % 55.23/8.17 | (168) all_105_6 = all_75_1 % 55.23/8.17 | % 55.23/8.17 | SIMP: (168) implies: % 55.23/8.17 | (169) all_105_6 = all_75_1 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (155), (156) imply: % 55.23/8.17 | (170) all_99_3 = all_57_9 % 55.23/8.17 | % 55.23/8.17 | SIMP: (170) implies: % 55.23/8.17 | (171) all_99_3 = all_57_9 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (147), (148) imply: % 55.23/8.17 | (172) all_99_5 = all_57_10 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (159), (167) imply: % 55.23/8.17 | (173) all_103_4 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | SIMP: (173) implies: % 55.23/8.17 | (174) all_103_4 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (158), (174) imply: % 55.23/8.17 | (175) all_101_3 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | SIMP: (175) implies: % 55.23/8.17 | (176) all_101_3 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (149), (150) imply: % 55.23/8.17 | (177) all_101_5 = all_85_1 % 55.23/8.17 | % 55.23/8.17 | SIMP: (177) implies: % 55.23/8.17 | (178) all_101_5 = all_85_1 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (157), (176) imply: % 55.23/8.17 | (179) all_79_1 = all_57_8 % 55.23/8.17 | % 55.23/8.17 | COMBINE_EQS: (162), (163) imply: % 55.23/8.17 | (180) all_77_1 = 0 % 55.23/8.17 | % 55.23/8.17 | SIMP: (180) implies: % 55.23/8.17 | (181) all_77_1 = 0 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (142), (160) imply: % 55.23/8.17 | (182) k1_zfmisc_1(all_57_8) = all_109_2 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (141), (154) imply: % 55.23/8.17 | (183) k1_zfmisc_1(all_75_1) = all_109_5 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (128), (167) imply: % 55.23/8.17 | (184) k1_zfmisc_1(all_57_8) = all_105_2 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (127), (169) imply: % 55.23/8.17 | (185) k1_zfmisc_1(all_75_1) = all_105_5 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (121), (174) imply: % 55.23/8.17 | (186) k1_zfmisc_1(all_57_8) = all_103_3 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (111), (176) imply: % 55.23/8.17 | (187) k1_zfmisc_1(all_57_8) = all_101_2 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (79), (179) imply: % 55.23/8.17 | (188) k1_zfmisc_1(all_57_8) = all_79_0 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (93), (152) imply: % 55.23/8.17 | (189) m1_subset_1(all_57_5, all_89_2) = all_93_1 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (116), (150) imply: % 55.23/8.17 | (190) m1_subset_1(all_57_6, all_85_1) = all_103_5 % 55.23/8.17 | % 55.23/8.17 | REDUCE: (108), (178) imply: % 55.23/8.17 | (191) m1_subset_1(all_57_6, all_85_1) = all_101_4 % 55.23/8.17 | % 55.23/8.17 | BETA: splitting (76) gives: % 55.23/8.17 | % 55.23/8.17 | Case 1: % 55.23/8.17 | | % 55.23/8.17 | | (192) ~ (all_77_1 = 0) % 55.23/8.17 | | % 55.23/8.17 | | REDUCE: (181), (192) imply: % 55.23/8.17 | | (193) $false % 55.23/8.17 | | % 55.23/8.17 | | CLOSE: (193) is inconsistent. % 55.23/8.17 | | % 55.23/8.17 | Case 2: % 55.23/8.17 | | % 55.23/8.17 | | (194) all_77_0 = all_57_6 % 55.23/8.17 | | % 55.23/8.17 | | REDUCE: (75), (194) imply: % 55.23/8.17 | | (195) k9_relat_1(all_57_7, all_57_11) = all_57_6 % 55.23/8.17 | | % 55.23/8.17 | | BETA: splitting (85) gives: % 55.23/8.17 | | % 55.23/8.17 | | Case 1: % 55.23/8.17 | | | % 55.23/8.17 | | | (196) ~ (all_85_2 = 0) % 55.23/8.17 | | | % 55.23/8.17 | | | REDUCE: (163), (196) imply: % 55.23/8.17 | | | (197) $false % 55.23/8.17 | | | % 55.23/8.17 | | | CLOSE: (197) is inconsistent. % 55.23/8.17 | | | % 55.23/8.17 | | Case 2: % 55.23/8.17 | | | % 55.23/8.17 | | | (198) all_85_0 = 0 % 55.23/8.17 | | | % 55.23/8.17 | | | REDUCE: (82), (198) imply: % 55.23/8.18 | | | (199) m1_subset_1(all_57_6, all_85_1) = 0 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_101_4, all_103_5, all_85_1, % 55.23/8.18 | | | all_57_6, simplifying with (190), (191) gives: % 55.23/8.18 | | | (200) all_103_5 = all_101_4 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with 0, all_103_5, all_85_1, all_57_6, % 55.23/8.18 | | | simplifying with (190), (199) gives: % 55.23/8.18 | | | (201) all_103_5 = 0 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_89_1, all_93_1, all_89_2, % 55.23/8.18 | | | all_57_5, simplifying with (87), (189) gives: % 55.23/8.18 | | | (202) all_93_1 = all_89_1 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_89_2, all_103_3, all_57_8, % 55.23/8.18 | | | simplifying with (89), (186) gives: % 55.23/8.18 | | | (203) all_103_3 = all_89_2 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_103_3, all_105_2, all_57_8, % 55.23/8.18 | | | simplifying with (184), (186) gives: % 55.23/8.18 | | | (204) all_105_2 = all_103_3 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_79_0, all_105_2, all_57_8, % 55.23/8.18 | | | simplifying with (184), (188) gives: % 55.23/8.18 | | | (205) all_105_2 = all_79_0 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_103_3, all_109_2, all_57_8, % 55.23/8.18 | | | simplifying with (182), (186) gives: % 55.23/8.18 | | | (206) all_109_2 = all_103_3 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_101_2, all_109_2, all_57_8, % 55.23/8.18 | | | simplifying with (182), (187) gives: % 55.23/8.18 | | | (207) all_109_2 = all_101_2 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_75_0, all_109_5, all_75_1, % 55.23/8.18 | | | simplifying with (70), (183) gives: % 55.23/8.18 | | | (208) all_109_5 = all_75_0 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (17) with all_105_5, all_109_5, all_75_1, % 55.23/8.18 | | | simplifying with (183), (185) gives: % 55.23/8.18 | | | (209) all_109_5 = all_105_5 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (206), (207) imply: % 55.23/8.18 | | | (210) all_103_3 = all_101_2 % 55.23/8.18 | | | % 55.23/8.18 | | | SIMP: (210) implies: % 55.23/8.18 | | | (211) all_103_3 = all_101_2 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (208), (209) imply: % 55.23/8.18 | | | (212) all_105_5 = all_75_0 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (204), (205) imply: % 55.23/8.18 | | | (213) all_103_3 = all_79_0 % 55.23/8.18 | | | % 55.23/8.18 | | | SIMP: (213) implies: % 55.23/8.18 | | | (214) all_103_3 = all_79_0 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (203), (211) imply: % 55.23/8.18 | | | (215) all_101_2 = all_89_2 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (211), (214) imply: % 55.23/8.18 | | | (216) all_101_2 = all_79_0 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (200), (201) imply: % 55.23/8.18 | | | (217) all_101_4 = 0 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (215), (216) imply: % 55.23/8.18 | | | (218) all_89_2 = all_79_0 % 55.23/8.18 | | | % 55.23/8.18 | | | COMBINE_EQS: (207), (216) imply: % 55.23/8.18 | | | (219) all_109_2 = all_79_0 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (140), (219) imply: % 55.23/8.18 | | | (220) m1_subset_1(all_57_3, all_79_0) = all_109_1 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (126), (205) imply: % 55.23/8.18 | | | (221) m1_subset_1(all_57_3, all_79_0) = all_105_1 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (88), (218) imply: % 55.23/8.18 | | | (222) m1_subset_1(all_57_3, all_79_0) = all_89_0 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (117), (214) imply: % 55.23/8.18 | | | (223) m1_subset_1(all_57_5, all_79_0) = all_103_2 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (109), (216) imply: % 55.23/8.18 | | | (224) m1_subset_1(all_57_5, all_79_0) = all_101_1 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (87), (218) imply: % 55.23/8.18 | | | (225) m1_subset_1(all_57_5, all_79_0) = all_89_1 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (139), (208) imply: % 55.23/8.18 | | | (226) m1_subset_1(all_57_7, all_75_0) = all_109_4 % 55.23/8.18 | | | % 55.23/8.18 | | | REDUCE: (125), (212) imply: % 55.23/8.18 | | | (227) m1_subset_1(all_57_7, all_75_0) = all_105_4 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with 0, all_109_4, all_75_0, all_57_7, % 55.23/8.18 | | | simplifying with (69), (226) gives: % 55.23/8.18 | | | (228) all_109_4 = 0 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_105_4, all_109_4, all_75_0, % 55.23/8.18 | | | all_57_7, simplifying with (226), (227) gives: % 55.23/8.18 | | | (229) all_109_4 = all_105_4 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with 0, all_101_1, all_79_0, all_57_5, % 55.23/8.18 | | | simplifying with (78), (224) gives: % 55.23/8.18 | | | (230) all_101_1 = 0 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_101_1, all_103_2, all_79_0, % 55.23/8.18 | | | all_57_5, simplifying with (223), (224) gives: % 55.23/8.18 | | | (231) all_103_2 = all_101_1 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_89_1, all_103_2, all_79_0, % 55.23/8.18 | | | all_57_5, simplifying with (223), (225) gives: % 55.23/8.18 | | | (232) all_103_2 = all_89_1 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_105_1, all_109_1, all_79_0, % 55.23/8.18 | | | all_57_3, simplifying with (220), (221) gives: % 55.23/8.18 | | | (233) all_109_1 = all_105_1 % 55.23/8.18 | | | % 55.23/8.18 | | | GROUND_INST: instantiating (18) with all_89_0, all_109_1, all_79_0, % 55.23/8.18 | | | all_57_3, simplifying with (220), (222) gives: % 55.23/8.18 | | | (234) all_109_1 = all_89_0 % 55.43/8.18 | | | % 55.43/8.18 | | | COMBINE_EQS: (233), (234) imply: % 55.43/8.18 | | | (235) all_105_1 = all_89_0 % 55.43/8.18 | | | % 55.43/8.18 | | | SIMP: (235) implies: % 55.43/8.18 | | | (236) all_105_1 = all_89_0 % 55.43/8.18 | | | % 55.43/8.18 | | | COMBINE_EQS: (228), (229) imply: % 55.43/8.18 | | | (237) all_105_4 = 0 % 55.43/8.18 | | | % 55.43/8.18 | | | SIMP: (237) implies: % 55.43/8.18 | | | (238) all_105_4 = 0 % 55.43/8.18 | | | % 55.43/8.18 | | | COMBINE_EQS: (231), (232) imply: % 55.43/8.18 | | | (239) all_101_1 = all_89_1 % 55.43/8.18 | | | % 55.43/8.18 | | | SIMP: (239) implies: % 55.43/8.18 | | | (240) all_101_1 = all_89_1 % 55.43/8.18 | | | % 55.43/8.18 | | | COMBINE_EQS: (230), (240) imply: % 55.43/8.18 | | | (241) all_89_1 = 0 % 55.43/8.18 | | | % 55.43/8.18 | | | COMBINE_EQS: (202), (241) imply: % 55.43/8.18 | | | (242) all_93_1 = 0 % 55.43/8.18 | | | % 55.43/8.18 | | | COMBINE_EQS: (232), (241) imply: % 55.43/8.18 | | | (243) all_103_2 = 0 % 55.43/8.18 | | | % 55.43/8.18 | | | BETA: splitting (90) gives: % 55.43/8.18 | | | % 55.43/8.18 | | | Case 1: % 55.43/8.18 | | | | % 55.43/8.18 | | | | (244) ~ (all_89_1 = 0) % 55.43/8.18 | | | | % 55.43/8.18 | | | | REDUCE: (241), (244) imply: % 55.43/8.18 | | | | (245) $false % 55.43/8.18 | | | | % 55.43/8.18 | | | | CLOSE: (245) is inconsistent. % 55.43/8.18 | | | | % 55.43/8.18 | | | Case 2: % 55.43/8.18 | | | | % 55.43/8.18 | | | | (246) all_89_0 = 0 % 55.43/8.18 | | | | % 55.43/8.18 | | | | COMBINE_EQS: (236), (246) imply: % 55.43/8.18 | | | | (247) all_105_1 = 0 % 55.43/8.18 | | | | % 55.43/8.18 | | | | COMBINE_EQS: (234), (246) imply: % 55.43/8.18 | | | | (248) all_109_1 = 0 % 55.43/8.18 | | | | % 55.43/8.18 | | | | REDUCE: (222), (246) imply: % 55.43/8.18 | | | | (249) m1_subset_1(all_57_3, all_79_0) = 0 % 55.43/8.18 | | | | % 55.43/8.18 | | | | BETA: splitting (132) gives: % 55.43/8.18 | | | | % 55.43/8.18 | | | | Case 1: % 55.43/8.18 | | | | | % 55.43/8.18 | | | | | (250) ~ (all_105_1 = 0) % 55.43/8.18 | | | | | % 55.43/8.18 | | | | | REDUCE: (247), (250) imply: % 55.43/8.18 | | | | | (251) $false % 55.43/8.18 | | | | | % 55.43/8.18 | | | | | CLOSE: (251) is inconsistent. % 55.43/8.18 | | | | | % 55.43/8.18 | | | | Case 2: % 55.43/8.18 | | | | | % 55.43/8.18 | | | | | (252) ~ (all_105_4 = 0) | all_105_0 = 0 % 55.43/8.18 | | | | | % 55.43/8.18 | | | | | BETA: splitting (252) gives: % 55.43/8.18 | | | | | % 55.43/8.18 | | | | | Case 1: % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | (253) ~ (all_105_4 = 0) % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | REDUCE: (238), (253) imply: % 55.43/8.18 | | | | | | (254) $false % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | CLOSE: (254) is inconsistent. % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | Case 2: % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | (255) all_105_0 = 0 % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | COMBINE_EQS: (164), (255) imply: % 55.43/8.18 | | | | | | (256) all_97_3 = 0 % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | REDUCE: (100), (256) imply: % 55.43/8.18 | | | | | | (257) m2_relset_1(all_57_2, all_57_14, all_57_12) = 0 % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | BETA: splitting (114) gives: % 55.43/8.18 | | | | | | % 55.43/8.18 | | | | | | Case 1: % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | | (258) ~ (all_101_1 = 0) % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | | REDUCE: (230), (258) imply: % 55.43/8.18 | | | | | | | (259) $false % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | | CLOSE: (259) is inconsistent. % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | Case 2: % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | | (260) ~ (all_101_4 = 0) | all_101_0 = all_57_4 % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | | BETA: splitting (146) gives: % 55.43/8.18 | | | | | | | % 55.43/8.18 | | | | | | | Case 1: % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | | (261) ~ (all_109_1 = 0) % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | | REDUCE: (248), (261) imply: % 55.43/8.18 | | | | | | | | (262) $false % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | | CLOSE: (262) is inconsistent. % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | Case 2: % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | | (263) ~ (all_109_4 = 0) | all_109_0 = all_57_2 % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | | BETA: splitting (123) gives: % 55.43/8.18 | | | | | | | | % 55.43/8.18 | | | | | | | | Case 1: % 55.43/8.18 | | | | | | | | | % 55.43/8.19 | | | | | | | | | (264) ~ (all_103_2 = 0) % 55.43/8.19 | | | | | | | | | % 55.43/8.19 | | | | | | | | | REDUCE: (243), (264) imply: % 55.43/8.19 | | | | | | | | | (265) $false % 55.43/8.19 | | | | | | | | | % 55.43/8.19 | | | | | | | | | CLOSE: (265) is inconsistent. % 55.43/8.19 | | | | | | | | | % 55.43/8.19 | | | | | | | | Case 2: % 55.43/8.19 | | | | | | | | | % 55.43/8.19 | | | | | | | | | (266) ~ (all_103_5 = 0) | all_103_0 = 0 % 55.43/8.19 | | | | | | | | | % 55.43/8.19 | | | | | | | | | BETA: splitting (266) gives: % 55.43/8.19 | | | | | | | | | % 55.43/8.19 | | | | | | | | | Case 1: % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | (267) ~ (all_103_5 = 0) % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | REDUCE: (201), (267) imply: % 55.43/8.19 | | | | | | | | | | (268) $false % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | CLOSE: (268) is inconsistent. % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | Case 2: % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | (269) all_103_0 = 0 % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | REDUCE: (118), (269) imply: % 55.43/8.19 | | | | | | | | | | (270) m1_subset_1(all_57_4, all_103_1) = 0 % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | BETA: splitting (96) gives: % 55.43/8.19 | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | Case 1: % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | (271) ~ (all_93_1 = 0) % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | REDUCE: (242), (271) imply: % 55.43/8.19 | | | | | | | | | | | (272) $false % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | CLOSE: (272) is inconsistent. % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | Case 2: % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | (273) all_93_0 = all_57_5 % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | REDUCE: (95), (273) imply: % 55.43/8.19 | | | | | | | | | | | (274) k3_subset_1(all_57_8, all_57_3) = all_57_5 % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | BETA: splitting (263) gives: % 55.43/8.19 | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | Case 1: % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | (275) ~ (all_109_4 = 0) % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | REDUCE: (228), (275) imply: % 55.43/8.19 | | | | | | | | | | | | (276) $false % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | CLOSE: (276) is inconsistent. % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | Case 2: % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | (277) all_109_0 = all_57_2 % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | REDUCE: (145), (277) imply: % 55.43/8.19 | | | | | | | | | | | | (278) k5_relat_1(all_57_7, all_57_3) = all_57_2 % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | BETA: splitting (102) gives: % 55.43/8.19 | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | Case 1: % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | (279) ~ (all_97_3 = 0) % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | REDUCE: (256), (279) imply: % 55.43/8.19 | | | | | | | | | | | | | (280) $false % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | CLOSE: (280) is inconsistent. % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | Case 2: % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | (281) all_97_0 = all_97_1 % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | COMBINE_EQS: (165), (281) imply: % 55.43/8.19 | | | | | | | | | | | | | (282) all_97_1 = all_57_0 % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | REDUCE: (99), (282) imply: % 55.43/8.19 | | | | | | | | | | | | | (283) k3_subset_1(all_57_12, all_97_2) = all_57_0 % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | BETA: splitting (260) gives: % 55.43/8.19 | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | Case 1: % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | (284) ~ (all_101_4 = 0) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | REDUCE: (217), (284) imply: % 55.43/8.19 | | | | | | | | | | | | | | (285) $false % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | CLOSE: (285) is inconsistent. % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | Case 2: % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | (286) all_101_0 = all_57_4 % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | REDUCE: (113), (286) imply: % 55.43/8.19 | | | | | | | | | | | | | | (287) k7_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.19 | | | | | | | | | | | | | | all_57_5) = all_57_4 % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | REDUCE: (107), (286) imply: % 55.43/8.19 | | | | | | | | | | | | | | (288) $i(all_57_4) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_57_14, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_67_0, all_57_10, all_57_9, all_57_2, all_57_1, % 55.43/8.19 | | | | | | | | | | | | | | simplifying with (27), (29), (36), (39), (40), % 55.43/8.19 | | | | | | | | | | | | | | (43), (66), (67) gives: % 55.43/8.19 | | | | | | | | | | | | | | (289) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.19 | | | | | | | | | | | | | | $i] : (k8_relset_2(all_57_14, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_67_0, all_57_1) = v3 & % 55.43/8.19 | | | | | | | | | | | | | | m2_relset_1(all_57_2, all_57_14, all_57_12) = v0 % 55.43/8.19 | | | | | | | | | | | | | | & k3_subset_1(all_57_12, v1) = v2 & % 55.43/8.19 | | | | | | | | | | | | | | k10_relset_1(all_57_14, all_57_12, all_57_2, % 55.43/8.19 | | | | | | | | | | | | | | all_67_0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( % 55.43/8.19 | | | | | | | | | | | | | | ~ (v0 = 0) | v3 = v2)) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_57_13, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, simplifying with % 55.43/8.19 | | | | | | | | | | | | | | (28), (29), (33), (41), (83), (199) gives: % 55.43/8.19 | | | | | | | | | | | | | | (290) ? [v0: $i] : (k1_zfmisc_1(all_57_8) = v0 & $i(v0) % 55.43/8.19 | | | | | | | | | | | | | | & ! [v1: $i] : ! [v2: $i] : ( ~ % 55.43/8.19 | | | | | | | | | | | | | | (k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.19 | | | | | | | | | | | | | | v1) = v2) | ~ $i(v1) | ? [v3: any] : ? % 55.43/8.19 | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 55.43/8.19 | | | | | | | | | | | | | | (k9_relat_1(v5, all_57_6) = v6 & % 55.43/8.19 | | | | | | | | | | | | | | k3_subset_1(all_57_8, v1) = v5 & % 55.43/8.19 | | | | | | | | | | | | | | k3_subset_1(all_57_12, v2) = v4 & % 55.43/8.19 | | | | | | | | | | | | | | m1_subset_1(v1, v0) = v3 & $i(v6) & $i(v5) & % 55.43/8.19 | | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | v6 = v4))) & ! [v1: % 55.43/8.19 | | | | | | | | | | | | | | $i] : ! [v2: $i] : ( ~ (k3_subset_1(all_57_8, % 55.43/8.19 | | | | | | | | | | | | | | v1) = v2) | ~ $i(v1) | ? [v3: any] : ? % 55.43/8.19 | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 55.43/8.19 | | | | | | | | | | | | | | (k9_relat_1(v2, all_57_6) = v6 & % 55.43/8.19 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.19 | | | | | | | | | | | | | | v1) = v4 & k3_subset_1(all_57_12, v4) = v5 % 55.43/8.19 | | | | | | | | | | | | | | & m1_subset_1(v1, v0) = v3 & $i(v6) & $i(v5) % 55.43/8.19 | | | | | | | | | | | | | | & $i(v4) & ( ~ (v3 = 0) | v6 = v5))) & ! % 55.43/8.19 | | | | | | | | | | | | | | [v1: $i] : ( ~ (m1_subset_1(v1, v0) = 0) | ~ % 55.43/8.19 | | | | | | | | | | | | | | $i(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: % 55.43/8.19 | | | | | | | | | | | | | | $i] : (k9_relat_1(v4, all_57_6) = v3 & % 55.43/8.19 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.19 | | | | | | | | | | | | | | v1) = v2 & k3_subset_1(all_57_8, v1) = v4 % 55.43/8.19 | | | | | | | | | | | | | | & k3_subset_1(all_57_12, v2) = v3 & $i(v4) & % 55.43/8.19 | | | | | | | | | | | | | | $i(v3) & $i(v2)))) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_57_13, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, all_57_5, % 55.43/8.19 | | | | | | | | | | | | | | simplifying with (28), (29), (33), (34), (41), % 55.43/8.19 | | | | | | | | | | | | | | (46), (83), (199) gives: % 55.43/8.19 | | | | | | | | | | | | | | (291) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 55.43/8.19 | | | | | | | | | | | | | | (k8_relset_2(all_57_13, all_57_12, all_57_6, v2) = % 55.43/8.19 | | | | | | | | | | | | | | v1 & k3_subset_1(all_57_8, all_57_5) = v2 & % 55.43/8.19 | | | | | | | | | | | | | | k3_subset_1(all_57_12, v0) = v1 & % 55.43/8.19 | | | | | | | | | | | | | | k10_relset_1(all_57_13, all_57_12, all_57_5, % 55.43/8.19 | | | | | | | | | | | | | | all_57_6) = v0 & $i(v2) & $i(v1) & $i(v0)) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_57_12, all_57_4, % 55.43/8.19 | | | | | | | | | | | | | | all_103_1, simplifying with (29), (120), (270), % 55.43/8.19 | | | | | | | | | | | | | | (288) gives: % 55.43/8.19 | | | | | | | | | | | | | | (292) ? [v0: $i] : (k3_subset_1(all_57_12, v0) = % 55.43/8.19 | | | | | | | | | | | | | | all_57_4 & k3_subset_1(all_57_12, all_57_4) = v0 % 55.43/8.19 | | | | | | | | | | | | | | & $i(v0)) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_57_12, all_57_4, % 55.43/8.19 | | | | | | | | | | | | | | all_103_1, simplifying with (29), (120), (270), % 55.43/8.19 | | | | | | | | | | | | | | (288) gives: % 55.43/8.19 | | | | | | | | | | | | | | (293) ? [v0: $i] : (k3_subset_1(all_57_12, all_57_4) = % 55.43/8.19 | | | | | | | | | | | | | | v0 & m1_subset_1(v0, all_103_1) = 0 & $i(v0)) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_57_13, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, all_79_0, all_57_5, % 55.43/8.19 | | | | | | | | | | | | | | all_57_4, simplifying with (28), (29), (33), (34), % 55.43/8.19 | | | | | | | | | | | | | | (41), (48), (83), (188), (199) gives: % 55.43/8.19 | | | | | | | | | | | | | | (294) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.19 | | | | | | | | | | | | | | $i] : (k9_relat_1(v2, all_57_6) = v3 & % 55.43/8.19 | | | | | | | | | | | | | | k3_subset_1(all_57_8, all_57_5) = v2 & % 55.43/8.19 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_57_4) = v1 & % 55.43/8.19 | | | | | | | | | | | | | | m1_subset_1(all_57_5, all_79_0) = v0 & $i(v3) & % 55.43/8.19 | | | | | | | | | | | | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = v1)) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_57_13, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, all_79_0, all_57_5, % 55.43/8.19 | | | | | | | | | | | | | | all_57_3, simplifying with (28), (29), (33), (34), % 55.43/8.19 | | | | | | | | | | | | | | (41), (44), (83), (188), (199) gives: % 55.43/8.19 | | | | | | | | | | | | | | (295) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.19 | | | | | | | | | | | | | | $i] : (k9_relat_1(all_57_3, all_57_6) = v3 & % 55.43/8.19 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.19 | | | | | | | | | | | | | | all_57_5) = v1 & k3_subset_1(all_57_12, v1) = % 55.43/8.19 | | | | | | | | | | | | | | v2 & m1_subset_1(all_57_5, all_79_0) = v0 & % 55.43/8.19 | | | | | | | | | | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = % 55.43/8.19 | | | | | | | | | | | | | | v2)) % 55.43/8.19 | | | | | | | | | | | | | | % 55.43/8.19 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_57_13, all_57_12, % 55.43/8.19 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, all_79_0, all_57_5, % 55.43/8.19 | | | | | | | | | | | | | | simplifying with (28), (29), (33), (34), (41), % 55.43/8.19 | | | | | | | | | | | | | | (78), (83), (188), (199) gives: % 55.43/8.20 | | | | | | | | | | | | | | (296) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 55.43/8.20 | | | | | | | | | | | | | | (k9_relat_1(v2, all_57_6) = v1 & % 55.43/8.20 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.20 | | | | | | | | | | | | | | all_57_5) = v0 & k3_subset_1(all_57_8, % 55.43/8.20 | | | | | | | | | | | | | | all_57_5) = v2 & k3_subset_1(all_57_12, v0) = % 55.43/8.20 | | | | | | | | | | | | | | v1 & $i(v2) & $i(v1) & $i(v0)) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_57_13, all_57_12, % 55.43/8.20 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, all_79_0, % 55.43/8.20 | | | | | | | | | | | | | | simplifying with (28), (29), (33), (41), (83), % 55.43/8.20 | | | | | | | | | | | | | | (188), (199) gives: % 55.43/8.20 | | | | | | | | | | | | | | (297) ? [v0: $i] : (k3_pua2mss1(all_57_6) = v0 & $i(v0) % 55.43/8.20 | | | | | | | | | | | | | | & ! [v1: $i] : ! [v2: $i] : ( ~ % 55.43/8.20 | | | | | | | | | | | | | | (k6_relset_2(all_57_12, all_57_13, v1) = v2) | % 55.43/8.20 | | | | | | | | | | | | | | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : ? % 55.43/8.20 | | | | | | | | | | | | | | [v5: $i] : ? [v6: $i] : % 55.43/8.20 | | | | | | | | | | | | | | (k7_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.20 | | | | | | | | | | | | | | v1) = v4 & k4_relset_2(all_85_1, % 55.43/8.20 | | | | | | | | | | | | | | all_57_12, v2, v0) = v5 & % 55.43/8.20 | | | | | | | | | | | | | | k8_setfam_1(all_57_12, v5) = v6 & % 55.43/8.20 | | | | | | | | | | | | | | m1_subset_1(v1, all_79_0) = v3 & $i(v6) & % 55.43/8.20 | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | v6 = v4))) % 55.43/8.20 | | | | | | | | | | | | | | & ! [v1: $i] : ! [v2: $i] : ( ~ % 55.43/8.20 | | | | | | | | | | | | | | (k7_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.20 | | | | | | | | | | | | | | v1) = v2) | ~ $i(v1) | ? [v3: any] : ? % 55.43/8.20 | | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 55.43/8.20 | | | | | | | | | | | | | | (k6_relset_2(all_57_12, all_57_13, v1) = v4 & % 55.43/8.20 | | | | | | | | | | | | | | k4_relset_2(all_85_1, all_57_12, v4, v0) = % 55.43/8.20 | | | | | | | | | | | | | | v5 & k8_setfam_1(all_57_12, v5) = v6 & % 55.43/8.20 | | | | | | | | | | | | | | m1_subset_1(v1, all_79_0) = v3 & $i(v6) & % 55.43/8.20 | | | | | | | | | | | | | | $i(v5) & $i(v4) & ( ~ (v3 = 0) | v6 = v2))) % 55.43/8.20 | | | | | | | | | | | | | | & ! [v1: $i] : ( ~ (m1_subset_1(v1, all_79_0) = % 55.43/8.20 | | | | | | | | | | | | | | 0) | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] : % 55.43/8.20 | | | | | | | | | | | | | | ? [v4: $i] : (k6_relset_2(all_57_12, % 55.43/8.20 | | | | | | | | | | | | | | all_57_13, v1) = v3 & % 55.43/8.20 | | | | | | | | | | | | | | k7_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.20 | | | | | | | | | | | | | | v1) = v2 & k4_relset_2(all_85_1, % 55.43/8.20 | | | | | | | | | | | | | | all_57_12, v3, v0) = v4 & % 55.43/8.20 | | | | | | | | | | | | | | k8_setfam_1(all_57_12, v4) = v2 & $i(v4) & % 55.43/8.20 | | | | | | | | | | | | | | $i(v3) & $i(v2)))) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (cc1_relset_1) with all_57_13, % 55.43/8.20 | | | | | | | | | | | | | | all_57_12, all_57_3, all_57_8, all_79_0, % 55.43/8.20 | | | | | | | | | | | | | | simplifying with (28), (29), (35), (41), (188), % 55.43/8.20 | | | | | | | | | | | | | | (249) gives: % 55.43/8.20 | | | | | | | | | | | | | | (298) v1_relat_1(all_57_3) = 0 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (cc1_relset_1) with all_57_14, % 55.43/8.20 | | | | | | | | | | | | | | all_57_13, all_57_7, all_75_1, all_75_0, % 55.43/8.20 | | | | | | | | | | | | | | simplifying with (27), (28), (32), (69), (70), % 55.43/8.20 | | | | | | | | | | | | | | (71) gives: % 55.43/8.20 | | | | | | | | | | | | | | (299) v1_relat_1(all_57_7) = 0 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k10_relset_1) with all_57_14, % 55.43/8.20 | | | | | | | | | | | | | | all_57_12, all_57_2, all_57_11, all_97_2, % 55.43/8.20 | | | | | | | | | | | | | | simplifying with (27), (29), (30), (36), (98) % 55.43/8.20 | | | | | | | | | | | | | | gives: % 55.43/8.20 | | | | | | | | | | | | | | (300) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 55.43/8.20 | | | | | | | | | | | | | | (m1_relset_1(all_57_2, all_57_14, all_57_12) = v0 % 55.43/8.20 | | | | | | | | | | | | | | & k1_zfmisc_1(all_57_12) = v1 & % 55.43/8.20 | | | | | | | | | | | | | | m1_subset_1(all_97_2, v1) = v2 & $i(v1) & ( ~ % 55.43/8.20 | | | | | | | | | | | | | | (v0 = 0) | v2 = 0)) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (redefinition_k10_relset_1) with % 55.43/8.20 | | | | | | | | | | | | | | all_57_14, all_57_12, all_57_2, all_57_11, % 55.43/8.20 | | | | | | | | | | | | | | all_97_2, simplifying with (27), (29), (30), (36), % 55.43/8.20 | | | | | | | | | | | | | | (98) gives: % 55.43/8.20 | | | | | | | | | | | | | | (301) ? [v0: any] : ? [v1: $i] : (k9_relat_1(all_57_2, % 55.43/8.20 | | | | | | | | | | | | | | all_57_11) = v1 & m1_relset_1(all_57_2, % 55.43/8.20 | | | | | | | | | | | | | | all_57_14, all_57_12) = v0 & $i(v1) & ( ~ (v0 % 55.43/8.20 | | | | | | | | | | | | | | = 0) | v1 = all_97_2)) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_57_13, all_57_12, % 55.43/8.20 | | | | | | | | | | | | | | all_57_6, all_85_1, all_57_8, all_57_3, all_57_5, % 55.43/8.20 | | | | | | | | | | | | | | simplifying with (28), (29), (33), (35), (41), % 55.43/8.20 | | | | | | | | | | | | | | (83), (199), (274) gives: % 55.43/8.20 | | | | | | | | | | | | | | (302) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.20 | | | | | | | | | | | | | | $i] : (k8_relset_2(all_57_13, all_57_12, % 55.43/8.20 | | | | | | | | | | | | | | all_57_6, all_57_5) = v3 & % 55.43/8.20 | | | | | | | | | | | | | | m2_relset_1(all_57_3, all_57_13, all_57_12) = v0 % 55.43/8.20 | | | | | | | | | | | | | | & k3_subset_1(all_57_12, v1) = v2 & % 55.43/8.20 | | | | | | | | | | | | | | k10_relset_1(all_57_13, all_57_12, all_57_3, % 55.43/8.20 | | | | | | | | | | | | | | all_57_6) = v1 & $i(v3) & $i(v2) & $i(v1) & ( % 55.43/8.20 | | | | | | | | | | | | | | ~ (v0 = 0) | v3 = v2)) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (fc10_relat_1) with all_57_3, % 55.43/8.20 | | | | | | | | | | | | | | all_57_7, all_57_2, simplifying with (32), (35), % 55.43/8.20 | | | | | | | | | | | | | | (278) gives: % 55.43/8.20 | | | | | | | | | | | | | | (303) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 55.43/8.20 | | | | | | | | | | | | | | [v3: any] : (v1_relat_1(all_57_2) = v3 & % 55.43/8.20 | | | | | | | | | | | | | | v1_relat_1(all_57_7) = v1 & % 55.43/8.20 | | | | | | | | | | | | | | v1_xboole_0(all_57_2) = v2 & % 55.43/8.20 | | | | | | | | | | | | | | v1_xboole_0(all_57_3) = v0 & ( ~ (v1 = 0) | ~ % 55.43/8.20 | | | | | | | | | | | | | | (v0 = 0) | (v3 = 0 & v2 = 0))) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (fc9_relat_1) with all_57_7, % 55.43/8.20 | | | | | | | | | | | | | | all_57_3, all_57_2, simplifying with (32), (35), % 55.43/8.20 | | | | | | | | | | | | | | (278) gives: % 55.43/8.20 | | | | | | | | | | | | | | (304) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 55.43/8.20 | | | | | | | | | | | | | | [v3: any] : (v1_relat_1(all_57_2) = v3 & % 55.43/8.20 | | | | | | | | | | | | | | v1_relat_1(all_57_3) = v1 & % 55.43/8.20 | | | | | | | | | | | | | | v1_xboole_0(all_57_2) = v2 & % 55.43/8.20 | | | | | | | | | | | | | | v1_xboole_0(all_57_7) = v0 & ( ~ (v1 = 0) | ~ % 55.43/8.20 | | | | | | | | | | | | | | (v0 = 0) | (v3 = 0 & v2 = 0))) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k5_relat_1) with all_57_7, % 55.43/8.20 | | | | | | | | | | | | | | all_57_3, all_57_2, simplifying with (32), (35), % 55.43/8.20 | | | | | | | | | | | | | | (278) gives: % 55.43/8.20 | | | | | | | | | | | | | | (305) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 55.43/8.20 | | | | | | | | | | | | | | (v1_relat_1(all_57_2) = v2 & v1_relat_1(all_57_3) % 55.43/8.20 | | | | | | | | | | | | | | = v1 & v1_relat_1(all_57_7) = v0 & ( ~ (v1 = 0) % 55.43/8.20 | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = 0)) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_57_14, all_57_12, % 55.43/8.20 | | | | | | | | | | | | | | all_57_2, simplifying with (27), (29), (36), (257) % 55.43/8.20 | | | | | | | | | | | | | | gives: % 55.43/8.20 | | | | | | | | | | | | | | (306) m1_relset_1(all_57_2, all_57_14, all_57_12) = 0 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_57_11, all_57_7, % 55.43/8.20 | | | | | | | | | | | | | | all_57_6, all_57_3, all_57_2, simplifying with % 55.43/8.20 | | | | | | | | | | | | | | (30), (32), (35), (195), (278) gives: % 55.43/8.20 | | | | | | | | | | | | | | (307) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : (( ~ % 55.43/8.20 | | | | | | | | | | | | | | (v0 = 0) & v1_relat_1(all_57_7) = v0) | % 55.43/8.20 | | | | | | | | | | | | | | (k9_relat_1(all_57_2, all_57_11) = v1 & % 55.43/8.20 | | | | | | | | | | | | | | k9_relat_1(all_57_3, all_57_6) = v2 & % 55.43/8.20 | | | | | | | | | | | | | | v1_relat_1(all_57_3) = v0 & $i(v2) & $i(v1) & % 55.43/8.20 | | | | | | | | | | | | | | ( ~ (v0 = 0) | v2 = v1))) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (293) with fresh symbol all_222_0 % 55.43/8.20 | | | | | | | | | | | | | | gives: % 55.43/8.20 | | | | | | | | | | | | | | (308) k3_subset_1(all_57_12, all_57_4) = all_222_0 & % 55.43/8.20 | | | | | | | | | | | | | | m1_subset_1(all_222_0, all_103_1) = 0 & % 55.43/8.20 | | | | | | | | | | | | | | $i(all_222_0) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | ALPHA: (308) implies: % 55.43/8.20 | | | | | | | | | | | | | | (309) k3_subset_1(all_57_12, all_57_4) = all_222_0 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (292) with fresh symbol all_224_0 % 55.43/8.20 | | | | | | | | | | | | | | gives: % 55.43/8.20 | | | | | | | | | | | | | | (310) k3_subset_1(all_57_12, all_224_0) = all_57_4 & % 55.43/8.20 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_57_4) = all_224_0 & % 55.43/8.20 | | | | | | | | | | | | | | $i(all_224_0) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | ALPHA: (310) implies: % 55.43/8.20 | | | | | | | | | | | | | | (311) k3_subset_1(all_57_12, all_57_4) = all_224_0 % 55.43/8.20 | | | | | | | | | | | | | | (312) k3_subset_1(all_57_12, all_224_0) = all_57_4 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (301) with fresh symbols all_270_0, % 55.43/8.20 | | | | | | | | | | | | | | all_270_1 gives: % 55.43/8.20 | | | | | | | | | | | | | | (313) k9_relat_1(all_57_2, all_57_11) = all_270_0 & % 55.43/8.20 | | | | | | | | | | | | | | m1_relset_1(all_57_2, all_57_14, all_57_12) = % 55.43/8.20 | | | | | | | | | | | | | | all_270_1 & $i(all_270_0) & ( ~ (all_270_1 = 0) | % 55.43/8.20 | | | | | | | | | | | | | | all_270_0 = all_97_2) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | ALPHA: (313) implies: % 55.43/8.20 | | | | | | | | | | | | | | (314) m1_relset_1(all_57_2, all_57_14, all_57_12) = % 55.43/8.20 | | | | | | | | | | | | | | all_270_1 % 55.43/8.20 | | | | | | | | | | | | | | (315) k9_relat_1(all_57_2, all_57_11) = all_270_0 % 55.43/8.20 | | | | | | | | | | | | | | (316) ~ (all_270_1 = 0) | all_270_0 = all_97_2 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (300) with fresh symbols all_274_0, % 55.43/8.20 | | | | | | | | | | | | | | all_274_1, all_274_2 gives: % 55.43/8.20 | | | | | | | | | | | | | | (317) m1_relset_1(all_57_2, all_57_14, all_57_12) = % 55.43/8.20 | | | | | | | | | | | | | | all_274_2 & k1_zfmisc_1(all_57_12) = all_274_1 & % 55.43/8.20 | | | | | | | | | | | | | | m1_subset_1(all_97_2, all_274_1) = all_274_0 & % 55.43/8.20 | | | | | | | | | | | | | | $i(all_274_1) & ( ~ (all_274_2 = 0) | all_274_0 = % 55.43/8.20 | | | | | | | | | | | | | | 0) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | ALPHA: (317) implies: % 55.43/8.20 | | | | | | | | | | | | | | (318) m1_relset_1(all_57_2, all_57_14, all_57_12) = % 55.43/8.20 | | | | | | | | | | | | | | all_274_2 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (305) with fresh symbols all_278_0, % 55.43/8.20 | | | | | | | | | | | | | | all_278_1, all_278_2 gives: % 55.43/8.20 | | | | | | | | | | | | | | (319) v1_relat_1(all_57_2) = all_278_0 & % 55.43/8.20 | | | | | | | | | | | | | | v1_relat_1(all_57_3) = all_278_1 & % 55.43/8.20 | | | | | | | | | | | | | | v1_relat_1(all_57_7) = all_278_2 & ( ~ (all_278_1 % 55.43/8.20 | | | | | | | | | | | | | | = 0) | ~ (all_278_2 = 0) | all_278_0 = 0) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | ALPHA: (319) implies: % 55.43/8.20 | | | | | | | | | | | | | | (320) v1_relat_1(all_57_7) = all_278_2 % 55.43/8.20 | | | | | | | | | | | | | | (321) v1_relat_1(all_57_3) = all_278_1 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (291) with fresh symbols all_294_0, % 55.43/8.20 | | | | | | | | | | | | | | all_294_1, all_294_2 gives: % 55.43/8.20 | | | | | | | | | | | | | | (322) k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.20 | | | | | | | | | | | | | | all_294_0) = all_294_1 & k3_subset_1(all_57_8, % 55.43/8.20 | | | | | | | | | | | | | | all_57_5) = all_294_0 & k3_subset_1(all_57_12, % 55.43/8.20 | | | | | | | | | | | | | | all_294_2) = all_294_1 & k10_relset_1(all_57_13, % 55.43/8.20 | | | | | | | | | | | | | | all_57_12, all_57_5, all_57_6) = all_294_2 & % 55.43/8.20 | | | | | | | | | | | | | | $i(all_294_0) & $i(all_294_1) & $i(all_294_2) % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | ALPHA: (322) implies: % 55.43/8.20 | | | | | | | | | | | | | | (323) k3_subset_1(all_57_8, all_57_5) = all_294_0 % 55.43/8.20 | | | | | | | | | | | | | | % 55.43/8.20 | | | | | | | | | | | | | | DELTA: instantiating (296) with fresh symbols all_312_0, % 55.43/8.20 | | | | | | | | | | | | | | all_312_1, all_312_2 gives: % 55.43/8.21 | | | | | | | | | | | | | | (324) k9_relat_1(all_312_0, all_57_6) = all_312_1 & % 55.43/8.21 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = all_312_2 & k3_subset_1(all_57_8, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = all_312_0 & k3_subset_1(all_57_12, % 55.43/8.21 | | | | | | | | | | | | | | all_312_2) = all_312_1 & $i(all_312_0) & % 55.43/8.21 | | | | | | | | | | | | | | $i(all_312_1) & $i(all_312_2) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (324) implies: % 55.43/8.21 | | | | | | | | | | | | | | (325) k3_subset_1(all_57_8, all_57_5) = all_312_0 % 55.43/8.21 | | | | | | | | | | | | | | (326) k9_relat_1(all_312_0, all_57_6) = all_312_1 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (303) with fresh symbols all_332_0, % 55.43/8.21 | | | | | | | | | | | | | | all_332_1, all_332_2, all_332_3 gives: % 55.43/8.21 | | | | | | | | | | | | | | (327) v1_relat_1(all_57_2) = all_332_0 & % 55.43/8.21 | | | | | | | | | | | | | | v1_relat_1(all_57_7) = all_332_2 & % 55.43/8.21 | | | | | | | | | | | | | | v1_xboole_0(all_57_2) = all_332_1 & % 55.43/8.21 | | | | | | | | | | | | | | v1_xboole_0(all_57_3) = all_332_3 & ( ~ (all_332_2 % 55.43/8.21 | | | | | | | | | | | | | | = 0) | ~ (all_332_3 = 0) | (all_332_0 = 0 & % 55.43/8.21 | | | | | | | | | | | | | | all_332_1 = 0)) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (327) implies: % 55.43/8.21 | | | | | | | | | | | | | | (328) v1_relat_1(all_57_7) = all_332_2 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (304) with fresh symbols all_334_0, % 55.43/8.21 | | | | | | | | | | | | | | all_334_1, all_334_2, all_334_3 gives: % 55.43/8.21 | | | | | | | | | | | | | | (329) v1_relat_1(all_57_2) = all_334_0 & % 55.43/8.21 | | | | | | | | | | | | | | v1_relat_1(all_57_3) = all_334_2 & % 55.43/8.21 | | | | | | | | | | | | | | v1_xboole_0(all_57_2) = all_334_1 & % 55.43/8.21 | | | | | | | | | | | | | | v1_xboole_0(all_57_7) = all_334_3 & ( ~ (all_334_2 % 55.43/8.21 | | | | | | | | | | | | | | = 0) | ~ (all_334_3 = 0) | (all_334_0 = 0 & % 55.43/8.21 | | | | | | | | | | | | | | all_334_1 = 0)) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (329) implies: % 55.43/8.21 | | | | | | | | | | | | | | (330) v1_relat_1(all_57_3) = all_334_2 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (295) with fresh symbols all_355_0, % 55.43/8.21 | | | | | | | | | | | | | | all_355_1, all_355_2, all_355_3 gives: % 55.43/8.21 | | | | | | | | | | | | | | (331) k9_relat_1(all_57_3, all_57_6) = all_355_0 & % 55.43/8.21 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = all_355_2 & k3_subset_1(all_57_12, % 55.43/8.21 | | | | | | | | | | | | | | all_355_2) = all_355_1 & m1_subset_1(all_57_5, % 55.43/8.21 | | | | | | | | | | | | | | all_79_0) = all_355_3 & $i(all_355_0) & % 55.43/8.21 | | | | | | | | | | | | | | $i(all_355_1) & $i(all_355_2) & ( ~ (all_355_3 = % 55.43/8.21 | | | | | | | | | | | | | | 0) | all_355_0 = all_355_1) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (331) implies: % 55.43/8.21 | | | | | | | | | | | | | | (332) m1_subset_1(all_57_5, all_79_0) = all_355_3 % 55.43/8.21 | | | | | | | | | | | | | | (333) k3_subset_1(all_57_12, all_355_2) = all_355_1 % 55.43/8.21 | | | | | | | | | | | | | | (334) k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = all_355_2 % 55.43/8.21 | | | | | | | | | | | | | | (335) k9_relat_1(all_57_3, all_57_6) = all_355_0 % 55.43/8.21 | | | | | | | | | | | | | | (336) ~ (all_355_3 = 0) | all_355_0 = all_355_1 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (302) with fresh symbols all_357_0, % 55.43/8.21 | | | | | | | | | | | | | | all_357_1, all_357_2, all_357_3 gives: % 55.43/8.21 | | | | | | | | | | | | | | (337) k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = all_357_0 & m2_relset_1(all_57_3, % 55.43/8.21 | | | | | | | | | | | | | | all_57_13, all_57_12) = all_357_3 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_357_2) = all_357_1 & % 55.43/8.21 | | | | | | | | | | | | | | k10_relset_1(all_57_13, all_57_12, all_57_3, % 55.43/8.21 | | | | | | | | | | | | | | all_57_6) = all_357_2 & $i(all_357_0) & % 55.43/8.21 | | | | | | | | | | | | | | $i(all_357_1) & $i(all_357_2) & ( ~ (all_357_3 = % 55.43/8.21 | | | | | | | | | | | | | | 0) | all_357_0 = all_357_1) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (337) implies: % 55.43/8.21 | | | | | | | | | | | | | | (338) k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = all_357_0 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (294) with fresh symbols all_371_0, % 55.43/8.21 | | | | | | | | | | | | | | all_371_1, all_371_2, all_371_3 gives: % 55.43/8.21 | | | | | | | | | | | | | | (339) k9_relat_1(all_371_1, all_57_6) = all_371_0 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_8, all_57_5) = all_371_1 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_57_4) = all_371_2 & % 55.43/8.21 | | | | | | | | | | | | | | m1_subset_1(all_57_5, all_79_0) = all_371_3 & % 55.43/8.21 | | | | | | | | | | | | | | $i(all_371_0) & $i(all_371_1) & $i(all_371_2) & ( % 55.43/8.21 | | | | | | | | | | | | | | ~ (all_371_3 = 0) | all_371_0 = all_371_2) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (339) implies: % 55.43/8.21 | | | | | | | | | | | | | | (340) m1_subset_1(all_57_5, all_79_0) = all_371_3 % 55.43/8.21 | | | | | | | | | | | | | | (341) k3_subset_1(all_57_12, all_57_4) = all_371_2 % 55.43/8.21 | | | | | | | | | | | | | | (342) k3_subset_1(all_57_8, all_57_5) = all_371_1 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (289) with fresh symbols all_375_0, % 55.43/8.21 | | | | | | | | | | | | | | all_375_1, all_375_2, all_375_3 gives: % 55.43/8.21 | | | | | | | | | | | | | | (343) k8_relset_2(all_57_14, all_57_12, all_67_0, % 55.43/8.21 | | | | | | | | | | | | | | all_57_1) = all_375_0 & m2_relset_1(all_57_2, % 55.43/8.21 | | | | | | | | | | | | | | all_57_14, all_57_12) = all_375_3 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_375_2) = all_375_1 & % 55.43/8.21 | | | | | | | | | | | | | | k10_relset_1(all_57_14, all_57_12, all_57_2, % 55.43/8.21 | | | | | | | | | | | | | | all_67_0) = all_375_2 & $i(all_375_0) & % 55.43/8.21 | | | | | | | | | | | | | | $i(all_375_1) & $i(all_375_2) & ( ~ (all_375_3 = % 55.43/8.21 | | | | | | | | | | | | | | 0) | all_375_0 = all_375_1) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (343) implies: % 55.43/8.21 | | | | | | | | | | | | | | (344) m2_relset_1(all_57_2, all_57_14, all_57_12) = % 55.43/8.21 | | | | | | | | | | | | | | all_375_3 % 55.43/8.21 | | | | | | | | | | | | | | (345) ~ (all_375_3 = 0) | all_375_0 = all_375_1 % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (307) with fresh symbols all_377_0, % 55.43/8.21 | | | | | | | | | | | | | | all_377_1, all_377_2 gives: % 55.43/8.21 | | | | | | | | | | | | | | (346) ( ~ (all_377_2 = 0) & v1_relat_1(all_57_7) = % 55.43/8.21 | | | | | | | | | | | | | | all_377_2) | (k9_relat_1(all_57_2, all_57_11) = % 55.43/8.21 | | | | | | | | | | | | | | all_377_1 & k9_relat_1(all_57_3, all_57_6) = % 55.43/8.21 | | | | | | | | | | | | | | all_377_0 & v1_relat_1(all_57_3) = all_377_2 & % 55.43/8.21 | | | | | | | | | | | | | | $i(all_377_0) & $i(all_377_1) & ( ~ (all_377_2 = % 55.43/8.21 | | | | | | | | | | | | | | 0) | all_377_0 = all_377_1)) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (290) with fresh symbol all_404_0 % 55.43/8.21 | | | | | | | | | | | | | | gives: % 55.43/8.21 | | | | | | | | | | | | | | (347) k1_zfmisc_1(all_57_8) = all_404_0 & $i(all_404_0) % 55.43/8.21 | | | | | | | | | | | | | | & ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.21 | | | | | | | | | | | | | | (k8_relset_2(all_57_13, all_57_12, all_57_6, v0) % 55.43/8.21 | | | | | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] % 55.43/8.21 | | | | | | | | | | | | | | : ? [v4: $i] : ? [v5: $i] : (k9_relat_1(v4, % 55.43/8.21 | | | | | | | | | | | | | | all_57_6) = v5 & k3_subset_1(all_57_8, v0) = % 55.43/8.21 | | | | | | | | | | | | | | v4 & k3_subset_1(all_57_12, v1) = v3 & % 55.43/8.21 | | | | | | | | | | | | | | m1_subset_1(v0, all_404_0) = v2 & $i(v5) & % 55.43/8.21 | | | | | | | | | | | | | | $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v3))) & % 55.43/8.21 | | | | | | | | | | | | | | ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.21 | | | | | | | | | | | | | | (k3_subset_1(all_57_8, v0) = v1) | ~ $i(v0) | % 55.43/8.21 | | | | | | | | | | | | | | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? % 55.43/8.21 | | | | | | | | | | | | | | [v5: $i] : (k9_relat_1(v1, all_57_6) = v5 & % 55.43/8.21 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | v0) = v3 & k3_subset_1(all_57_12, v3) = v4 & % 55.43/8.21 | | | | | | | | | | | | | | m1_subset_1(v0, all_404_0) = v2 & $i(v5) & % 55.43/8.21 | | | | | | | | | | | | | | $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v4))) & % 55.43/8.21 | | | | | | | | | | | | | | ! [v0: $i] : ( ~ (m1_subset_1(v0, all_404_0) = 0) % 55.43/8.21 | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? % 55.43/8.21 | | | | | | | | | | | | | | [v3: $i] : (k9_relat_1(v3, all_57_6) = v2 & % 55.43/8.21 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | v0) = v1 & k3_subset_1(all_57_8, v0) = v3 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_12, v1) = v2 & $i(v3) & % 55.43/8.21 | | | | | | | | | | | | | | $i(v2) & $i(v1))) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | ALPHA: (347) implies: % 55.43/8.21 | | | | | | | | | | | | | | (348) ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.21 | | | | | | | | | | | | | | (k3_subset_1(all_57_8, v0) = v1) | ~ $i(v0) | % 55.43/8.21 | | | | | | | | | | | | | | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? % 55.43/8.21 | | | | | | | | | | | | | | [v5: $i] : (k9_relat_1(v1, all_57_6) = v5 & % 55.43/8.21 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | v0) = v3 & k3_subset_1(all_57_12, v3) = v4 & % 55.43/8.21 | | | | | | | | | | | | | | m1_subset_1(v0, all_404_0) = v2 & $i(v5) & % 55.43/8.21 | | | | | | | | | | | | | | $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v4))) % 55.43/8.21 | | | | | | | | | | | | | | (349) ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.21 | | | | | | | | | | | | | | (k8_relset_2(all_57_13, all_57_12, all_57_6, v0) % 55.43/8.21 | | | | | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] % 55.43/8.21 | | | | | | | | | | | | | | : ? [v4: $i] : ? [v5: $i] : (k9_relat_1(v4, % 55.43/8.21 | | | | | | | | | | | | | | all_57_6) = v5 & k3_subset_1(all_57_8, v0) = % 55.43/8.21 | | | | | | | | | | | | | | v4 & k3_subset_1(all_57_12, v1) = v3 & % 55.43/8.21 | | | | | | | | | | | | | | m1_subset_1(v0, all_404_0) = v2 & $i(v5) & % 55.43/8.21 | | | | | | | | | | | | | | $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v3))) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (348) with all_57_5, all_57_3, % 55.43/8.21 | | | | | | | | | | | | | | simplifying with (34), (44) gives: % 55.43/8.21 | | | | | | | | | | | | | | (350) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.21 | | | | | | | | | | | | | | $i] : (k9_relat_1(all_57_3, all_57_6) = v3 & % 55.43/8.21 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.21 | | | | | | | | | | | | | | all_57_5) = v1 & k3_subset_1(all_57_12, v1) = % 55.43/8.21 | | | | | | | | | | | | | | v2 & m1_subset_1(all_57_5, all_404_0) = v0 & % 55.43/8.21 | | | | | | | | | | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = % 55.43/8.21 | | | | | | | | | | | | | | v2)) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (349) with all_57_5, all_57_4, % 55.43/8.21 | | | | | | | | | | | | | | simplifying with (34), (48) gives: % 55.43/8.21 | | | | | | | | | | | | | | (351) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.21 | | | | | | | | | | | | | | $i] : (k9_relat_1(v2, all_57_6) = v3 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_8, all_57_5) = v2 & % 55.43/8.21 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_57_4) = v1 & % 55.43/8.21 | | | | | | | | | | | | | | m1_subset_1(all_57_5, all_404_0) = v0 & $i(v3) & % 55.43/8.21 | | | | | | | | | | | | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = v1)) % 55.43/8.21 | | | | | | | | | | | | | | % 55.43/8.21 | | | | | | | | | | | | | | DELTA: instantiating (297) with fresh symbol all_425_0 % 55.43/8.21 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (352) k3_pua2mss1(all_57_6) = all_425_0 & $i(all_425_0) % 55.43/8.22 | | | | | | | | | | | | | | & ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.22 | | | | | | | | | | | | | | (k6_relset_2(all_57_12, all_57_13, v0) = v1) | % 55.43/8.22 | | | | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: % 55.43/8.22 | | | | | | | | | | | | | | $i] : ? [v5: $i] : (k7_relset_2(all_57_13, % 55.43/8.22 | | | | | | | | | | | | | | all_57_12, all_57_6, v0) = v3 & % 55.43/8.22 | | | | | | | | | | | | | | k4_relset_2(all_85_1, all_57_12, v1, % 55.43/8.22 | | | | | | | | | | | | | | all_425_0) = v4 & k8_setfam_1(all_57_12, v4) % 55.43/8.22 | | | | | | | | | | | | | | = v5 & m1_subset_1(v0, all_79_0) = v2 & $i(v5) % 55.43/8.22 | | | | | | | | | | | | | | & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v3))) % 55.43/8.22 | | | | | | | | | | | | | | & ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.22 | | | | | | | | | | | | | | (k7_relset_2(all_57_13, all_57_12, all_57_6, v0) % 55.43/8.22 | | | | | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] % 55.43/8.22 | | | | | | | | | | | | | | : ? [v4: $i] : ? [v5: $i] : % 55.43/8.22 | | | | | | | | | | | | | | (k6_relset_2(all_57_12, all_57_13, v0) = v3 & % 55.43/8.22 | | | | | | | | | | | | | | k4_relset_2(all_85_1, all_57_12, v3, % 55.43/8.22 | | | | | | | | | | | | | | all_425_0) = v4 & k8_setfam_1(all_57_12, v4) % 55.43/8.22 | | | | | | | | | | | | | | = v5 & m1_subset_1(v0, all_79_0) = v2 & $i(v5) % 55.43/8.22 | | | | | | | | | | | | | | & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v1))) % 55.43/8.22 | | | | | | | | | | | | | | & ! [v0: $i] : ( ~ (m1_subset_1(v0, all_79_0) = % 55.43/8.22 | | | | | | | | | | | | | | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : % 55.43/8.22 | | | | | | | | | | | | | | ? [v3: $i] : (k6_relset_2(all_57_12, all_57_13, % 55.43/8.22 | | | | | | | | | | | | | | v0) = v2 & k7_relset_2(all_57_13, all_57_12, % 55.43/8.22 | | | | | | | | | | | | | | all_57_6, v0) = v1 & k4_relset_2(all_85_1, % 55.43/8.22 | | | | | | | | | | | | | | all_57_12, v2, all_425_0) = v3 & % 55.43/8.22 | | | | | | | | | | | | | | k8_setfam_1(all_57_12, v3) = v1 & $i(v3) & % 55.43/8.22 | | | | | | | | | | | | | | $i(v2) & $i(v1))) % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | ALPHA: (352) implies: % 55.43/8.22 | | | | | | | | | | | | | | (353) ! [v0: $i] : ! [v1: $i] : ( ~ % 55.43/8.22 | | | | | | | | | | | | | | (k7_relset_2(all_57_13, all_57_12, all_57_6, v0) % 55.43/8.22 | | | | | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] % 55.43/8.22 | | | | | | | | | | | | | | : ? [v4: $i] : ? [v5: $i] : % 55.43/8.22 | | | | | | | | | | | | | | (k6_relset_2(all_57_12, all_57_13, v0) = v3 & % 55.43/8.22 | | | | | | | | | | | | | | k4_relset_2(all_85_1, all_57_12, v3, % 55.43/8.22 | | | | | | | | | | | | | | all_425_0) = v4 & k8_setfam_1(all_57_12, v4) % 55.43/8.22 | | | | | | | | | | | | | | = v5 & m1_subset_1(v0, all_79_0) = v2 & $i(v5) % 55.43/8.22 | | | | | | | | | | | | | | & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = v1))) % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (353) with all_57_5, all_57_4, % 55.43/8.22 | | | | | | | | | | | | | | simplifying with (34), (287) gives: % 55.43/8.22 | | | | | | | | | | | | | | (354) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 55.43/8.22 | | | | | | | | | | | | | | $i] : (k6_relset_2(all_57_12, all_57_13, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5) = v1 & k4_relset_2(all_85_1, % 55.43/8.22 | | | | | | | | | | | | | | all_57_12, v1, all_425_0) = v2 & % 55.43/8.22 | | | | | | | | | | | | | | k8_setfam_1(all_57_12, v2) = v3 & % 55.43/8.22 | | | | | | | | | | | | | | m1_subset_1(all_57_5, all_79_0) = v0 & $i(v3) & % 55.43/8.22 | | | | | | | | | | | | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = all_57_4)) % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | DELTA: instantiating (351) with fresh symbols all_443_0, % 55.43/8.22 | | | | | | | | | | | | | | all_443_1, all_443_2, all_443_3 gives: % 55.43/8.22 | | | | | | | | | | | | | | (355) k9_relat_1(all_443_1, all_57_6) = all_443_0 & % 55.43/8.22 | | | | | | | | | | | | | | k3_subset_1(all_57_8, all_57_5) = all_443_1 & % 55.43/8.22 | | | | | | | | | | | | | | k3_subset_1(all_57_12, all_57_4) = all_443_2 & % 55.43/8.22 | | | | | | | | | | | | | | m1_subset_1(all_57_5, all_404_0) = all_443_3 & % 55.43/8.22 | | | | | | | | | | | | | | $i(all_443_0) & $i(all_443_1) & $i(all_443_2) & ( % 55.43/8.22 | | | | | | | | | | | | | | ~ (all_443_3 = 0) | all_443_0 = all_443_2) % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | ALPHA: (355) implies: % 55.43/8.22 | | | | | | | | | | | | | | (356) k3_subset_1(all_57_12, all_57_4) = all_443_2 % 55.43/8.22 | | | | | | | | | | | | | | (357) k3_subset_1(all_57_8, all_57_5) = all_443_1 % 55.43/8.22 | | | | | | | | | | | | | | (358) k9_relat_1(all_443_1, all_57_6) = all_443_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | DELTA: instantiating (350) with fresh symbols all_447_0, % 55.43/8.22 | | | | | | | | | | | | | | all_447_1, all_447_2, all_447_3 gives: % 55.43/8.22 | | | | | | | | | | | | | | (359) k9_relat_1(all_57_3, all_57_6) = all_447_0 & % 55.43/8.22 | | | | | | | | | | | | | | k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5) = all_447_2 & k3_subset_1(all_57_12, % 55.43/8.22 | | | | | | | | | | | | | | all_447_2) = all_447_1 & m1_subset_1(all_57_5, % 55.43/8.22 | | | | | | | | | | | | | | all_404_0) = all_447_3 & $i(all_447_0) & % 55.43/8.22 | | | | | | | | | | | | | | $i(all_447_1) & $i(all_447_2) & ( ~ (all_447_3 = % 55.43/8.22 | | | | | | | | | | | | | | 0) | all_447_0 = all_447_1) % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | ALPHA: (359) implies: % 55.43/8.22 | | | | | | | | | | | | | | (360) k3_subset_1(all_57_12, all_447_2) = all_447_1 % 55.43/8.22 | | | | | | | | | | | | | | (361) k8_relset_2(all_57_13, all_57_12, all_57_6, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5) = all_447_2 % 55.43/8.22 | | | | | | | | | | | | | | (362) k9_relat_1(all_57_3, all_57_6) = all_447_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | DELTA: instantiating (354) with fresh symbols all_461_0, % 55.43/8.22 | | | | | | | | | | | | | | all_461_1, all_461_2, all_461_3 gives: % 55.43/8.22 | | | | | | | | | | | | | | (363) k6_relset_2(all_57_12, all_57_13, all_57_5) = % 55.43/8.22 | | | | | | | | | | | | | | all_461_2 & k4_relset_2(all_85_1, all_57_12, % 55.43/8.22 | | | | | | | | | | | | | | all_461_2, all_425_0) = all_461_1 & % 55.43/8.22 | | | | | | | | | | | | | | k8_setfam_1(all_57_12, all_461_1) = all_461_0 & % 55.43/8.22 | | | | | | | | | | | | | | m1_subset_1(all_57_5, all_79_0) = all_461_3 & % 55.43/8.22 | | | | | | | | | | | | | | $i(all_461_0) & $i(all_461_1) & $i(all_461_2) & ( % 55.43/8.22 | | | | | | | | | | | | | | ~ (all_461_3 = 0) | all_461_0 = all_57_4) % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | ALPHA: (363) implies: % 55.43/8.22 | | | | | | | | | | | | | | (364) m1_subset_1(all_57_5, all_79_0) = all_461_3 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_278_2, all_332_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_7, simplifying with (320), (328) gives: % 55.43/8.22 | | | | | | | | | | | | | | (365) all_332_2 = all_278_2 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_332_2, all_57_7, % 55.43/8.22 | | | | | | | | | | | | | | simplifying with (299), (328) gives: % 55.43/8.22 | | | | | | | | | | | | | | (366) all_332_2 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_278_1, all_334_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_3, simplifying with (321), (330) gives: % 55.43/8.22 | | | | | | | | | | | | | | (367) all_334_2 = all_278_1 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_334_2, all_57_3, % 55.43/8.22 | | | | | | | | | | | | | | simplifying with (298), (330) gives: % 55.43/8.22 | | | | | | | | | | | | | | (368) all_334_2 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_355_3, all_371_3, % 55.43/8.22 | | | | | | | | | | | | | | all_79_0, all_57_5, simplifying with (332), (340) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (369) all_371_3 = all_355_3 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_461_3, all_79_0, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, simplifying with (78), (364) gives: % 55.43/8.22 | | | | | | | | | | | | | | (370) all_461_3 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_371_3, all_461_3, % 55.43/8.22 | | | | | | | | | | | | | | all_79_0, all_57_5, simplifying with (340), (364) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (371) all_461_3 = all_371_3 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_270_1, all_274_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_12, all_57_14, all_57_2, simplifying with % 55.43/8.22 | | | | | | | | | | | | | | (314), (318) gives: % 55.43/8.22 | | | | | | | | | | | | | | (372) all_274_2 = all_270_1 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_274_2, all_57_12, % 55.43/8.22 | | | | | | | | | | | | | | all_57_14, all_57_2, simplifying with (306), (318) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (373) all_274_2 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_371_2, all_443_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_4, all_57_12, simplifying with (341), (356) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (374) all_443_2 = all_371_2 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_224_0, all_443_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_4, all_57_12, simplifying with (311), (356) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (375) all_443_2 = all_224_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_222_0, all_443_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_4, all_57_12, simplifying with (309), (356) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (376) all_443_2 = all_222_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_57_3, all_371_1, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_8, simplifying with (44), (342) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (377) all_371_1 = all_57_3 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_312_0, all_371_1, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_8, simplifying with (325), (342) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (378) all_371_1 = all_312_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_371_1, all_443_1, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_8, simplifying with (342), (357) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (379) all_443_1 = all_371_1 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_294_0, all_443_1, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_8, simplifying with (323), (357) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (380) all_443_1 = all_294_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_375_3, all_57_12, % 55.43/8.22 | | | | | | | | | | | | | | all_57_14, all_57_2, simplifying with (257), (344) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (381) all_375_3 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_355_2, all_357_0, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_6, all_57_12, all_57_13, % 55.43/8.22 | | | | | | | | | | | | | | simplifying with (334), (338) gives: % 55.43/8.22 | | | | | | | | | | | | | | (382) all_357_0 = all_355_2 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_57_4, all_447_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_6, all_57_12, all_57_13, % 55.43/8.22 | | | | | | | | | | | | | | simplifying with (48), (361) gives: % 55.43/8.22 | | | | | | | | | | | | | | (383) all_447_2 = all_57_4 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_357_0, all_447_2, % 55.43/8.22 | | | | | | | | | | | | | | all_57_5, all_57_6, all_57_12, all_57_13, % 55.43/8.22 | | | | | | | | | | | | | | simplifying with (338), (361) gives: % 55.43/8.22 | | | | | | | | | | | | | | (384) all_447_2 = all_357_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_355_0, all_447_0, % 55.43/8.22 | | | | | | | | | | | | | | all_57_6, all_57_3, simplifying with (335), (362) % 55.43/8.22 | | | | | | | | | | | | | | gives: % 55.43/8.22 | | | | | | | | | | | | | | (385) all_447_0 = all_355_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (370), (371) imply: % 55.43/8.22 | | | | | | | | | | | | | | (386) all_371_3 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | SIMP: (386) implies: % 55.43/8.22 | | | | | | | | | | | | | | (387) all_371_3 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (383), (384) imply: % 55.43/8.22 | | | | | | | | | | | | | | (388) all_357_0 = all_57_4 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | SIMP: (388) implies: % 55.43/8.22 | | | | | | | | | | | | | | (389) all_357_0 = all_57_4 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (379), (380) imply: % 55.43/8.22 | | | | | | | | | | | | | | (390) all_371_1 = all_294_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | SIMP: (390) implies: % 55.43/8.22 | | | | | | | | | | | | | | (391) all_371_1 = all_294_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (374), (376) imply: % 55.43/8.22 | | | | | | | | | | | | | | (392) all_371_2 = all_222_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (374), (375) imply: % 55.43/8.22 | | | | | | | | | | | | | | (393) all_371_2 = all_224_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (377), (378) imply: % 55.43/8.22 | | | | | | | | | | | | | | (394) all_312_0 = all_57_3 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (378), (391) imply: % 55.43/8.22 | | | | | | | | | | | | | | (395) all_312_0 = all_294_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (392), (393) imply: % 55.43/8.22 | | | | | | | | | | | | | | (396) all_224_0 = all_222_0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (369), (387) imply: % 55.43/8.22 | | | | | | | | | | | | | | (397) all_355_3 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | SIMP: (397) implies: % 55.43/8.22 | | | | | | | | | | | | | | (398) all_355_3 = 0 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | COMBINE_EQS: (382), (389) imply: % 55.43/8.22 | | | | | | | | | | | | | | (399) all_355_2 = all_57_4 % 55.43/8.22 | | | | | | | | | | | | | | % 55.43/8.22 | | | | | | | | | | | | | | SIMP: (399) implies: % 55.43/8.22 | | | | | | | | | | | | | | (400) all_355_2 = all_57_4 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | COMBINE_EQS: (367), (368) imply: % 55.43/8.23 | | | | | | | | | | | | | | (401) all_278_1 = 0 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | SIMP: (401) implies: % 55.43/8.23 | | | | | | | | | | | | | | (402) all_278_1 = 0 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | COMBINE_EQS: (365), (366) imply: % 55.43/8.23 | | | | | | | | | | | | | | (403) all_278_2 = 0 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | COMBINE_EQS: (394), (395) imply: % 55.43/8.23 | | | | | | | | | | | | | | (404) all_294_0 = all_57_3 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | COMBINE_EQS: (372), (373) imply: % 55.43/8.23 | | | | | | | | | | | | | | (405) all_270_1 = 0 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | SIMP: (405) implies: % 55.43/8.23 | | | | | | | | | | | | | | (406) all_270_1 = 0 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | COMBINE_EQS: (380), (404) imply: % 55.43/8.23 | | | | | | | | | | | | | | (407) all_443_1 = all_57_3 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | REDUCE: (358), (407) imply: % 55.43/8.23 | | | | | | | | | | | | | | (408) k9_relat_1(all_57_3, all_57_6) = all_443_0 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | REDUCE: (326), (394) imply: % 55.43/8.23 | | | | | | | | | | | | | | (409) k9_relat_1(all_57_3, all_57_6) = all_312_1 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | REDUCE: (360), (383) imply: % 55.43/8.23 | | | | | | | | | | | | | | (410) k3_subset_1(all_57_12, all_57_4) = all_447_1 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | REDUCE: (333), (400) imply: % 55.43/8.23 | | | | | | | | | | | | | | (411) k3_subset_1(all_57_12, all_57_4) = all_355_1 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | REDUCE: (312), (396) imply: % 55.43/8.23 | | | | | | | | | | | | | | (412) k3_subset_1(all_57_12, all_222_0) = all_57_4 % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | BETA: splitting (316) gives: % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | Case 1: % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | (413) ~ (all_270_1 = 0) % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | REDUCE: (406), (413) imply: % 55.43/8.23 | | | | | | | | | | | | | | | (414) $false % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent. % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | Case 2: % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | (415) all_270_0 = all_97_2 % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | REDUCE: (315), (415) imply: % 55.43/8.23 | | | | | | | | | | | | | | | (416) k9_relat_1(all_57_2, all_57_11) = all_97_2 % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | BETA: splitting (346) gives: % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | Case 1: % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | (417) ~ (all_377_2 = 0) & v1_relat_1(all_57_7) = % 55.43/8.23 | | | | | | | | | | | | | | | | all_377_2 % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | ALPHA: (417) implies: % 55.43/8.23 | | | | | | | | | | | | | | | | (418) ~ (all_377_2 = 0) % 55.43/8.23 | | | | | | | | | | | | | | | | (419) v1_relat_1(all_57_7) = all_377_2 % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_377_2, all_57_7, % 55.43/8.23 | | | | | | | | | | | | | | | | simplifying with (299), (419) gives: % 55.43/8.23 | | | | | | | | | | | | | | | | (420) all_377_2 = 0 % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | REDUCE: (418), (420) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | (421) $false % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | CLOSE: (421) is inconsistent. % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | Case 2: % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | (422) k9_relat_1(all_57_2, all_57_11) = all_377_1 & % 55.43/8.23 | | | | | | | | | | | | | | | | k9_relat_1(all_57_3, all_57_6) = all_377_0 & % 55.43/8.23 | | | | | | | | | | | | | | | | v1_relat_1(all_57_3) = all_377_2 & $i(all_377_0) & % 55.43/8.23 | | | | | | | | | | | | | | | | $i(all_377_1) & ( ~ (all_377_2 = 0) | all_377_0 = % 55.43/8.23 | | | | | | | | | | | | | | | | all_377_1) % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | ALPHA: (422) implies: % 55.43/8.23 | | | | | | | | | | | | | | | | (423) v1_relat_1(all_57_3) = all_377_2 % 55.43/8.23 | | | | | | | | | | | | | | | | (424) k9_relat_1(all_57_3, all_57_6) = all_377_0 % 55.43/8.23 | | | | | | | | | | | | | | | | (425) k9_relat_1(all_57_2, all_57_11) = all_377_1 % 55.43/8.23 | | | | | | | | | | | | | | | | (426) ~ (all_377_2 = 0) | all_377_0 = all_377_1 % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | BETA: splitting (336) gives: % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | Case 1: % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | (427) ~ (all_355_3 = 0) % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | REDUCE: (398), (427) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | (428) $false % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | CLOSE: (428) is inconsistent. % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | Case 2: % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | (429) all_355_0 = all_355_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | REDUCE: (335), (429) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | (430) k9_relat_1(all_57_3, all_57_6) = all_355_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | Case 1: % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | (431) ~ (all_375_3 = 0) % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | REDUCE: (381), (431) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (432) $false % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | CLOSE: (432) is inconsistent. % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | Case 2: % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_377_2, all_57_3, % 55.43/8.23 | | | | | | | | | | | | | | | | | | simplifying with (298), (423) gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (433) all_377_2 = 0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_222_0, all_447_1, % 55.43/8.23 | | | | | | | | | | | | | | | | | | all_57_4, all_57_12, simplifying with (309), (410) % 55.43/8.23 | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (434) all_447_1 = all_222_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_355_1, all_447_1, % 55.43/8.23 | | | | | | | | | | | | | | | | | | all_57_4, all_57_12, simplifying with (410), (411) % 55.43/8.23 | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (435) all_447_1 = all_355_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_355_1, all_377_0, % 55.43/8.23 | | | | | | | | | | | | | | | | | | all_57_6, all_57_3, simplifying with (424), (430) % 55.43/8.23 | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (436) all_377_0 = all_355_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_377_0, all_443_0, % 55.43/8.23 | | | | | | | | | | | | | | | | | | all_57_6, all_57_3, simplifying with (408), (424) % 55.43/8.23 | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (437) all_443_0 = all_377_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_312_1, all_443_0, % 55.43/8.23 | | | | | | | | | | | | | | | | | | all_57_6, all_57_3, simplifying with (408), (409) % 55.43/8.23 | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (438) all_443_0 = all_312_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_97_2, all_377_1, % 55.43/8.23 | | | | | | | | | | | | | | | | | | all_57_11, all_57_2, simplifying with (416), (425) % 55.43/8.23 | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (439) all_377_1 = all_97_2 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (435) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (440) all_355_1 = all_222_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (438) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (441) all_377_0 = all_312_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | SIMP: (441) implies: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (442) all_377_0 = all_312_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (442) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (443) all_355_1 = all_312_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | SIMP: (443) implies: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (444) all_355_1 = all_312_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (444) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (445) all_312_1 = all_222_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (445) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | (446) all_377_0 = all_222_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | Case 1: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (447) ~ (all_377_2 = 0) % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | REDUCE: (433), (447) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (448) $false % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | CLOSE: (448) is inconsistent. % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | Case 2: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (449) all_377_0 = all_377_1 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (449) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (450) all_377_1 = all_222_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | SIMP: (450) implies: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (451) all_377_1 = all_222_0 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (451) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (452) all_222_0 = all_97_2 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | SIMP: (452) implies: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (453) all_222_0 = all_97_2 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | REDUCE: (412), (453) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (454) k3_subset_1(all_57_12, all_97_2) = all_57_4 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_57_0, all_57_4, % 55.43/8.23 | | | | | | | | | | | | | | | | | | | all_97_2, all_57_12, simplifying with (283), (454) % 55.43/8.23 | | | | | | | | | | | | | | | | | | | gives: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (455) all_57_0 = all_57_4 % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | REDUCE: (26), (455) imply: % 55.43/8.23 | | | | | | | | | | | | | | | | | | | (456) $false % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | | CLOSE: (456) is inconsistent. % 55.43/8.23 | | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | | % 55.43/8.23 | | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | | % 55.43/8.23 | | | | | | | | | End of split % 55.43/8.23 | | | | | | | | | % 55.43/8.23 | | | | | | | | End of split % 55.43/8.23 | | | | | | | | % 55.43/8.23 | | | | | | | End of split % 55.43/8.23 | | | | | | | % 55.43/8.23 | | | | | | End of split % 55.43/8.23 | | | | | | % 55.43/8.23 | | | | | End of split % 55.43/8.23 | | | | | % 55.43/8.23 | | | | End of split % 55.43/8.23 | | | | % 55.43/8.23 | | | End of split % 55.43/8.23 | | | % 55.43/8.23 | | End of split % 55.43/8.23 | | % 55.43/8.23 | End of split % 55.43/8.23 | % 55.43/8.23 End of proof % 55.43/8.23 % SZS output end Proof for theBenchmark % 55.43/8.23 % 55.43/8.23 7627ms %------------------------------------------------------------------------------