%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU410+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 : n011.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 17:44:34 EDT 2023 % Result : Theorem 211.29s 29.15s % Output : Proof 212.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU410+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Aug 23 14:50:22 EDT 2023 % 0.12/0.33 % CPUTime : % 0.18/0.60 ________ _____ % 0.18/0.60 ___ __ \_________(_)________________________________ % 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.60 % 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.60 (2023-06-19) % 0.18/0.60 % 0.18/0.60 (c) Philipp Rümmer, 2009-2023 % 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.60 Amanda Stjerna. % 0.18/0.60 Free software under BSD-3-Clause. % 0.18/0.60 % 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.60 % 0.18/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.62 Running up to 7 provers in parallel. % 0.18/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.86/1.26 Prover 4: Preprocessing ... % 3.86/1.26 Prover 1: Preprocessing ... % 3.86/1.30 Prover 5: Preprocessing ... % 3.86/1.30 Prover 2: Preprocessing ... % 3.86/1.30 Prover 0: Preprocessing ... % 3.86/1.30 Prover 6: Preprocessing ... % 3.86/1.30 Prover 3: Preprocessing ... % 10.74/2.21 Prover 5: Proving ... % 10.74/2.21 Prover 2: Proving ... % 10.74/2.23 Prover 1: Warning: ignoring some quantifiers % 10.74/2.23 Prover 6: Proving ... % 11.37/2.28 Prover 1: Constructing countermodel ... % 11.37/2.29 Prover 3: Warning: ignoring some quantifiers % 11.60/2.34 Prover 3: Constructing countermodel ... % 25.67/4.35 Prover 4: Warning: ignoring some quantifiers % 27.79/4.50 Prover 4: Constructing countermodel ... % 31.16/5.05 Prover 0: Proving ... % 57.11/8.31 Prover 3: gave up % 57.11/8.31 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 57.38/8.38 Prover 7: Preprocessing ... % 58.02/8.50 Prover 7: Warning: ignoring some quantifiers % 58.02/8.50 Prover 7: Constructing countermodel ... % 71.82/10.31 Prover 2: stopped % 72.57/10.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 72.57/10.39 Prover 8: Preprocessing ... % 74.01/10.51 Prover 8: Warning: ignoring some quantifiers % 74.01/10.52 Prover 8: Constructing countermodel ... % 99.91/13.96 Prover 5: stopped % 99.91/13.96 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 100.61/14.06 Prover 9: Preprocessing ... % 111.13/15.42 Prover 9: Warning: ignoring some quantifiers % 111.13/15.47 Prover 9: Constructing countermodel ... % 115.14/15.97 Prover 1: stopped % 115.14/15.98 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 116.13/16.13 Prover 10: Preprocessing ... % 116.72/16.20 Prover 10: Warning: ignoring some quantifiers % 116.72/16.20 Prover 10: Constructing countermodel ... % 129.54/17.87 Prover 6: stopped % 129.54/17.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 130.10/17.95 Prover 11: Preprocessing ... % 137.45/18.95 Prover 11: Warning: ignoring some quantifiers % 138.12/19.02 Prover 11: Constructing countermodel ... % 210.22/29.03 Prover 7: stopped % 210.22/29.03 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 211.01/29.10 Prover 12: Preprocessing ... % 211.01/29.11 Prover 10: Found proof (size 622) % 211.01/29.11 Prover 10: proved (13124ms) % 211.01/29.11 Prover 9: stopped % 211.01/29.11 Prover 8: stopped % 211.01/29.11 Prover 11: stopped % 211.21/29.12 Prover 0: stopped % 211.29/29.13 Prover 4: stopped % 211.29/29.15 Prover 12: stopped % 211.29/29.15 % 211.29/29.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 211.29/29.15 % 211.29/29.18 % SZS output start Proof for theBenchmark % 211.29/29.19 Assumptions after simplification: % 211.29/29.19 --------------------------------- % 211.29/29.19 % 211.29/29.19 (commutativity_k13_lattice3) % 211.67/29.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k13_lattice3(v0, % 211.67/29.22 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_orders_2(v0) | % 211.67/29.22 ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | ? [v4: $i] : ? [v5: $i] : ((v5 = % 211.67/29.22 v3 & k13_lattice3(v0, v2, v1) = v3 & $i(v3)) | (u1_struct_0(v0) = v4 & % 211.67/29.22 $i(v4) & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))) % 211.67/29.22 % 211.67/29.22 (commutativity_k3_xboole_0) % 211.67/29.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ % 211.67/29.22 $i(v1) | ~ $i(v0) | (k3_xboole_0(v1, v0) = v2 & $i(v2))) % 211.67/29.22 % 211.67/29.22 (d3_xboole_0) % 211.67/29.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k3_xboole_0(v0, % 211.67/29.22 v1) = v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 211.67/29.22 r2_hidden(v3, v2) | r2_hidden(v3, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 211.67/29.22 $i] : ! [v3: $i] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ $i(v3) | ~ $i(v2) | % 211.67/29.22 ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v3, v2) | r2_hidden(v3, v0)) & ! [v0: % 211.67/29.22 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k3_xboole_0(v0, v1) = % 211.67/29.22 v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v3, v1) % 211.67/29.22 | ~ r2_hidden(v3, v0) | r2_hidden(v3, v2)) & ? [v0: $i] : ! [v1: $i] : ! % 211.67/29.22 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (k3_xboole_0(v1, v2) = v3) | ~ $i(v2) % 211.67/29.22 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ($i(v4) & ( ~ r2_hidden(v4, v2) | ~ % 211.67/29.22 r2_hidden(v4, v1) | ~ r2_hidden(v4, v0)) & (r2_hidden(v4, v0) | % 211.67/29.22 (r2_hidden(v4, v2) & r2_hidden(v4, v1))))) % 211.67/29.22 % 211.67/29.22 (dt_k13_lattice3) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k13_lattice3(v0, % 211.67/29.23 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_orders_2(v0) | % 211.67/29.23 ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | ? [v4: $i] : (u1_struct_0(v0) = % 211.67/29.23 v4 & $i(v4) & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | % 211.67/29.23 m1_subset_1(v3, v4)))) % 211.67/29.23 % 211.67/29.23 (dt_k1_latsum_1) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_latsum_1(v0, v1) = v2) | ~ % 211.67/29.23 $i(v1) | ~ $i(v0) | ~ l1_orders_2(v1) | ~ l1_orders_2(v0) | % 211.67/29.23 v1_orders_2(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 211.67/29.23 (k1_latsum_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_orders_2(v1) | ~ % 211.67/29.23 l1_orders_2(v0) | l1_orders_2(v2)) % 211.67/29.23 % 211.67/29.23 (dt_l1_orders_2) % 211.67/29.23 ! [v0: $i] : ( ~ $i(v0) | ~ l1_orders_2(v0) | l1_struct_0(v0)) % 211.67/29.23 % 211.67/29.23 (fc1_struct_0) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.23 v1_xboole_0(v1) | ~ l1_struct_0(v0) | v3_struct_0(v0)) % 211.67/29.23 % 211.67/29.23 (fc2_latsum_1) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_latsum_1(v0, v1) = v2) | ~ % 211.67/29.23 $i(v1) | ~ $i(v0) | ~ l1_orders_2(v1) | ~ l1_orders_2(v0) | ~ % 211.67/29.23 v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 211.67/29.23 : ( ~ (k1_latsum_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_orders_2(v1) % 211.67/29.23 | ~ l1_orders_2(v0) | v1_orders_2(v2) | v3_struct_0(v0)) % 211.67/29.23 % 211.67/29.23 (rc5_struct_0) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.23 l1_struct_0(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 211.67/29.23 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & m1_subset_1(v3, v2) & ~ % 211.67/29.23 v1_xboole_0(v3))) % 211.67/29.23 % 211.67/29.23 (rc7_waybel_0) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.23 l1_orders_2(v0) | ? [v2: $i] : ? [v3: $i] : (k1_zfmisc_1(v1) = v2 & $i(v3) % 211.67/29.23 & $i(v2) & v13_waybel_0(v3, v0) & v12_waybel_0(v3, v0) & m1_subset_1(v3, % 211.67/29.23 v2))) % 211.67/29.23 % 211.67/29.23 (rc8_waybel_0) % 211.67/29.23 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.23 l1_orders_2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 211.67/29.23 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v13_waybel_0(v3, v0) & % 211.67/29.23 v12_waybel_0(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) % 211.67/29.23 % 211.67/29.23 (rc9_waybel_0) % 211.67/29.24 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.24 l1_orders_2(v0) | ~ v3_orders_2(v0) | ~ v2_orders_2(v0) | v3_struct_0(v0) % 211.67/29.24 | ? [v2: $i] : ? [v3: $i] : (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & % 211.67/29.24 v12_waybel_0(v3, v0) & v1_waybel_0(v3, v0) & m1_subset_1(v3, v2) & ~ % 211.67/29.24 v1_xboole_0(v3))) % 211.67/29.24 % 211.67/29.24 (t10_latsum_1) % 211.67/29.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_latsum_1(v0, % 211.67/29.24 v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 211.67/29.24 l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v1_lattice3(v2) | ~ % 211.67/29.24 v1_lattice3(v0) | ~ v4_orders_2(v2) | ~ v4_orders_2(v0) | ~ % 211.67/29.24 v3_orders_2(v2) | ~ v3_orders_2(v0) | ~ v2_orders_2(v2) | ~ % 211.67/29.24 v2_orders_2(v0) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v4: $i] : % 211.67/29.24 (u1_struct_0(v3) = v4 & $i(v4) & ! [v5: $i] : ( ~ $i(v5) | ~ r2_hidden(v5, % 211.67/29.24 v1) | m1_subset_1(v5, v4)))) % 211.67/29.24 % 211.67/29.24 (t15_latsum_1) % 211.67/29.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 211.67/29.24 $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v5) | % 211.67/29.24 ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v2, v4, v5) | ~ % 211.67/29.24 r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ m1_subset_1(v5, v1) | ~ % 211.67/29.24 m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) | ~ l1_orders_2(v2) | ~ % 211.67/29.24 l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ v3_orders_2(v0) | r1_orders_2(v0, % 211.67/29.24 v4, v5) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : % 211.67/29.24 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (u1_struct_0(v2) = % 211.67/29.24 v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ % 211.67/29.24 $i(v0) | ~ r1_orders_2(v0, v4, v5) | ~ r1_latsum_1(v0, v2) | ~ % 211.67/29.24 m1_subset_1(v5, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ % 211.67/29.24 m1_subset_1(v4, v1) | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ % 211.67/29.24 v3_orders_2(v2) | ~ v3_orders_2(v0) | r1_orders_2(v2, v4, v5) | % 211.67/29.24 v3_struct_0(v2) | v3_struct_0(v0)) % 211.67/29.24 % 211.67/29.24 (t16_latsum_1) % 211.67/29.24 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.24 l1_orders_2(v0) | ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | ~ % 211.67/29.24 v3_orders_2(v0) | ~ v2_orders_2(v0) | v3_struct_0(v0) | ? [v2: $i] : % 211.67/29.24 (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 211.67/29.24 ! [v6: $i] : ( ~ (k13_lattice3(v0, v4, v5) = v6) | ~ $i(v5) | ~ $i(v4) | % 211.67/29.24 ~ $i(v3) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ % 211.67/29.24 v12_waybel_0(v3, v0) | ~ v1_waybel_0(v3, v0) | ~ m1_subset_1(v5, v1) | % 211.67/29.24 ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | r2_hidden(v6, v3)))) % 211.67/29.24 % 211.67/29.24 (t18_latsum_1) % 211.67/29.24 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 211.67/29.24 l1_orders_2(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] % 211.67/29.24 : ! [v4: $i] : ! [v5: $i] : ( ~ (k3_xboole_0(v1, v4) = v5) | ~ % 211.67/29.24 (u1_struct_0(v3) = v4) | ~ $i(v3) | ~ l1_orders_2(v3) | ? [v6: $i] : % 211.67/29.24 ? [v7: $i] : (k1_latsum_1(v0, v3) = v6 & u1_struct_0(v6) = v7 & $i(v7) & % 211.67/29.24 $i(v6) & ! [v8: $i] : ! [v9: $i] : ( ~ $i(v9) | ~ $i(v8) | ~ % 211.67/29.24 r1_orders_2(v6, v8, v9) | ~ r2_hidden(v8, v4) | ~ v13_waybel_0(v5, % 211.67/29.24 v0) | ~ m1_subset_1(v9, v7) | ~ m1_subset_1(v8, v7) | ~ % 211.67/29.24 m1_subset_1(v5, v2) | r2_hidden(v9, v4)))))) % 211.67/29.24 % 211.67/29.24 (t19_latsum_1) % 211.67/29.25 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 211.67/29.25 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 211.67/29.25 ( ~ (v10 = v9) & k3_xboole_0(v1, v4) = v5 & k13_lattice3(v3, v7, v8) = v10 & % 211.67/29.25 k13_lattice3(v0, v7, v8) = v9 & k1_zfmisc_1(v4) = v6 & k1_zfmisc_1(v1) = v2 % 211.67/29.25 & u1_struct_0(v3) = v4 & u1_struct_0(v0) = v1 & $i(v10) & $i(v9) & $i(v8) & % 211.67/29.25 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 211.67/29.25 r1_latsum_1(v0, v3) & v13_waybel_0(v5, v0) & v12_waybel_0(v5, v3) & % 211.67/29.25 v1_waybel_0(v5, v3) & m1_subset_1(v8, v4) & m1_subset_1(v8, v1) & % 211.67/29.25 m1_subset_1(v7, v4) & m1_subset_1(v7, v1) & m1_subset_1(v5, v6) & % 211.67/29.25 m1_subset_1(v5, v2) & l1_orders_2(v3) & l1_orders_2(v0) & v1_lattice3(v3) & % 211.67/29.25 v1_lattice3(v0) & v4_orders_2(v3) & v4_orders_2(v0) & v3_orders_2(v3) & % 211.67/29.25 v3_orders_2(v0) & v2_orders_2(v3) & v2_orders_2(v0) & ~ v3_struct_0(v3) & % 211.67/29.25 ~ v3_struct_0(v0)) % 211.67/29.25 % 211.67/29.25 (t1_subset) % 211.67/29.25 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0, v1) | % 211.67/29.25 m1_subset_1(v0, v1)) % 211.67/29.25 % 211.67/29.25 (t22_yellow_0) % 211.67/29.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 211.67/29.25 $i] : (v5 = v4 | ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = % 211.67/29.25 v1) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v0, % 211.67/29.25 v3, v5) | ~ r1_orders_2(v0, v2, v5) | ~ m1_subset_1(v5, v1) | ~ % 211.67/29.25 m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) | ~ % 211.67/29.25 v1_lattice3(v0) | ~ v4_orders_2(v0) | ? [v6: $i] : ($i(v6) & % 211.67/29.25 r1_orders_2(v0, v3, v6) & r1_orders_2(v0, v2, v6) & m1_subset_1(v6, v1) & % 211.67/29.25 ~ r1_orders_2(v0, v5, v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 211.67/29.25 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k13_lattice3(v0, v2, v3) = v4) | % 211.67/29.25 ~ (u1_struct_0(v0) = v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 211.67/29.25 ~ $i(v0) | ~ r1_orders_2(v0, v3, v5) | ~ r1_orders_2(v0, v2, v5) | ~ % 211.67/29.25 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | ~ % 211.67/29.25 m1_subset_1(v2, v1) | ~ l1_orders_2(v0) | ~ v1_lattice3(v0) | ~ % 211.67/29.25 v4_orders_2(v0) | r1_orders_2(v0, v4, v5)) & ! [v0: $i] : ! [v1: $i] : ! % 211.67/29.25 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k13_lattice3(v0, v2, v3) = v4) | % 211.67/29.25 ~ (u1_struct_0(v0) = v1) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | % 211.67/29.25 ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ % 211.67/29.25 l1_orders_2(v0) | ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | r1_orders_2(v0, % 211.67/29.25 v3, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 211.67/29.25 $i] : ( ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ % 211.67/29.25 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v4, v1) | ~ % 211.67/29.25 m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) | ~ % 211.67/29.25 v1_lattice3(v0) | ~ v4_orders_2(v0) | r1_orders_2(v0, v2, v4)) % 211.67/29.25 % 211.67/29.25 (t2_subset) % 211.67/29.25 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) | % 211.67/29.25 v1_xboole_0(v1) | r2_hidden(v0, v1)) % 211.67/29.25 % 211.67/29.25 (t4_subset) % 211.67/29.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_zfmisc_1(v2) = % 211.67/29.25 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0, v1) | ~ % 211.67/29.25 m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) % 211.67/29.25 % 211.67/29.25 (t6_boole) % 211.67/29.25 $i(k1_xboole_0) & ! [v0: $i] : (v0 = k1_xboole_0 | ~ $i(v0) | ~ % 211.67/29.25 v1_xboole_0(v0)) % 211.67/29.25 % 211.67/29.25 (t8_latsum_1) % 211.67/29.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_latsum_1(v0, % 211.67/29.26 v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 211.67/29.26 l1_orders_2(v2) | ~ l1_orders_2(v0) | v3_struct_0(v2) | v3_struct_0(v0) | % 211.67/29.26 ? [v4: $i] : (u1_struct_0(v3) = v4 & $i(v4) & ! [v5: $i] : ! [v6: $i] : ( % 211.67/29.26 ~ $i(v6) | ~ $i(v5) | ~ r1_orders_2(v3, v5, v6) | ~ r1_latsum_1(v0, % 211.67/29.26 v2) | ~ m1_subset_1(v6, v4) | ~ m1_subset_1(v6, v1) | ~ % 211.67/29.26 m1_subset_1(v5, v4) | ~ m1_subset_1(v5, v1) | ~ v3_orders_2(v0) | % 211.67/29.26 r1_orders_2(v0, v5, v6)) & ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ % 211.67/29.26 $i(v5) | ~ r1_orders_2(v0, v5, v6) | ~ r1_latsum_1(v0, v2) | ~ % 211.67/29.26 m1_subset_1(v6, v4) | ~ m1_subset_1(v6, v1) | ~ m1_subset_1(v5, v4) | % 211.67/29.26 ~ m1_subset_1(v5, v1) | ~ v3_orders_2(v0) | r1_orders_2(v3, v5, v6)))) % 211.67/29.26 % 211.67/29.26 (function-axioms) % 211.67/29.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 211.67/29.26 | ~ (k10_lattice3(v4, v3, v2) = v1) | ~ (k10_lattice3(v4, v3, v2) = v0)) & % 211.67/29.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 211.67/29.26 | ~ (k13_lattice3(v4, v3, v2) = v1) | ~ (k13_lattice3(v4, v3, v2) = v0)) & % 211.67/29.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 211.67/29.26 (k1_latsum_1(v3, v2) = v1) | ~ (k1_latsum_1(v3, v2) = v0)) & ! [v0: $i] : % 211.67/29.26 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k3_xboole_0(v3, v2) = % 211.67/29.26 v1) | ~ (k3_xboole_0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 211.67/29.26 $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ % 211.67/29.26 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 211.67/29.26 [v3: $i] : (v1 = v0 | ~ (g1_orders_2(v3, v2) = v1) | ~ (g1_orders_2(v3, v2) % 211.67/29.26 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 211.67/29.26 (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : ! [v1: % 211.67/29.26 $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ % 211.67/29.26 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 211.67/29.26 | ~ (u1_orders_2(v2) = v1) | ~ (u1_orders_2(v2) = v0)) % 211.67/29.26 % 211.67/29.26 Further assumptions not needed in the proof: % 211.67/29.26 -------------------------------------------- % 211.67/29.26 abstractness_v1_orders_2, antisymmetry_r2_hidden, cc1_relset_1, dt_g1_orders_2, % 211.67/29.26 dt_k10_lattice3, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k3_xboole_0, % 211.67/29.26 dt_l1_struct_0, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, dt_u1_orders_2, % 211.67/29.26 dt_u1_struct_0, existence_l1_orders_2, existence_l1_struct_0, % 211.67/29.26 existence_m1_relset_1, existence_m1_subset_1, existence_m2_relset_1, % 211.67/29.26 fc1_latsum_1, fc1_xboole_0, free_g1_orders_2, idempotence_k3_xboole_0, % 211.67/29.26 rc1_xboole_0, rc2_xboole_0, rc3_struct_0, redefinition_k13_lattice3, % 211.67/29.26 redefinition_m2_relset_1, redefinition_r3_orders_2, reflexivity_r1_tarski, % 211.67/29.26 reflexivity_r3_orders_2, t13_latsum_1, t2_boole, t3_subset, t5_subset, t7_boole, % 211.67/29.26 t8_boole, t9_yellow_5 % 211.67/29.26 % 211.67/29.26 Those formulas are unsatisfiable: % 211.67/29.26 --------------------------------- % 211.67/29.26 % 211.67/29.26 Begin of proof % 211.67/29.26 | % 211.67/29.26 | ALPHA: (d3_xboole_0) implies: % 211.67/29.26 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 211.67/29.26 | (k3_xboole_0(v0, v1) = v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 211.67/29.26 | $i(v0) | ~ r2_hidden(v3, v1) | ~ r2_hidden(v3, v0) | r2_hidden(v3, % 211.67/29.26 | v2)) % 211.67/29.26 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 211.67/29.26 | (k3_xboole_0(v0, v1) = v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 211.67/29.26 | $i(v0) | ~ r2_hidden(v3, v2) | r2_hidden(v3, v0)) % 211.67/29.26 | % 211.67/29.26 | ALPHA: (dt_k1_latsum_1) implies: % 211.67/29.26 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_latsum_1(v0, v1) = % 211.67/29.26 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_orders_2(v1) | ~ % 211.67/29.26 | l1_orders_2(v0) | l1_orders_2(v2)) % 211.67/29.26 | % 211.67/29.26 | ALPHA: (fc2_latsum_1) implies: % 211.67/29.26 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_latsum_1(v0, v1) = % 211.67/29.26 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_orders_2(v1) | ~ % 211.67/29.26 | l1_orders_2(v0) | ~ v3_struct_0(v2) | v3_struct_0(v0)) % 211.67/29.26 | % 211.67/29.26 | ALPHA: (t15_latsum_1) implies: % 211.67/29.27 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 211.67/29.27 | ! [v5: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | % 211.67/29.27 | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v0, v4, % 211.67/29.27 | v5) | ~ r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ % 211.67/29.27 | m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) % 211.67/29.27 | | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ % 211.67/29.27 | v3_orders_2(v0) | r1_orders_2(v2, v4, v5) | v3_struct_0(v2) | % 211.67/29.27 | v3_struct_0(v0)) % 211.67/29.27 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 211.67/29.27 | ! [v5: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | % 211.67/29.27 | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v2, v4, % 211.67/29.27 | v5) | ~ r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ % 211.67/29.27 | m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) % 211.67/29.27 | | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ % 211.67/29.27 | v3_orders_2(v0) | r1_orders_2(v0, v4, v5) | v3_struct_0(v2) | % 211.67/29.27 | v3_struct_0(v0)) % 211.67/29.27 | % 211.67/29.27 | ALPHA: (t22_yellow_0) implies: % 211.67/29.27 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 211.67/29.27 | ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ % 211.67/29.27 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v4, v1) | % 211.67/29.27 | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) % 211.67/29.27 | | ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | r1_orders_2(v0, v2, v4)) % 211.67/29.27 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 211.67/29.27 | ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ % 211.67/29.27 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v4, v1) | % 211.67/29.27 | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) % 211.67/29.27 | | ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | r1_orders_2(v0, v3, v4)) % 211.67/29.27 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 211.67/29.27 | ! [v5: $i] : ( ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) % 211.67/29.27 | = v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | % 211.67/29.27 | ~ r1_orders_2(v0, v3, v5) | ~ r1_orders_2(v0, v2, v5) | ~ % 211.67/29.27 | m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) % 211.67/29.27 | | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) | ~ v1_lattice3(v0) | % 211.67/29.27 | ~ v4_orders_2(v0) | r1_orders_2(v0, v4, v5)) % 211.67/29.27 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 211.67/29.27 | ! [v5: $i] : (v5 = v4 | ~ (k13_lattice3(v0, v2, v3) = v4) | ~ % 211.67/29.27 | (u1_struct_0(v0) = v1) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ % 211.67/29.27 | $i(v0) | ~ r1_orders_2(v0, v3, v5) | ~ r1_orders_2(v0, v2, v5) | % 211.67/29.27 | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, % 211.67/29.27 | v1) | ~ l1_orders_2(v0) | ~ v1_lattice3(v0) | ~ v4_orders_2(v0) % 211.67/29.27 | | ? [v6: $i] : ($i(v6) & r1_orders_2(v0, v3, v6) & r1_orders_2(v0, % 211.67/29.27 | v2, v6) & m1_subset_1(v6, v1) & ~ r1_orders_2(v0, v5, v6))) % 211.67/29.27 | % 211.67/29.27 | ALPHA: (t6_boole) implies: % 211.67/29.27 | (11) ! [v0: $i] : (v0 = k1_xboole_0 | ~ $i(v0) | ~ v1_xboole_0(v0)) % 211.67/29.27 | % 211.67/29.27 | ALPHA: (function-axioms) implies: % 211.67/29.27 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 211.67/29.27 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 211.67/29.27 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 211.67/29.27 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 211.67/29.28 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 211.67/29.28 | (k1_latsum_1(v3, v2) = v1) | ~ (k1_latsum_1(v3, v2) = v0)) % 211.67/29.28 | % 211.67/29.28 | DELTA: instantiating (t19_latsum_1) with fresh symbols all_64_0, all_64_1, % 211.67/29.28 | all_64_2, all_64_3, all_64_4, all_64_5, all_64_6, all_64_7, all_64_8, % 211.67/29.28 | all_64_9, all_64_10 gives: % 211.67/29.28 | (15) ~ (all_64_0 = all_64_1) & k3_xboole_0(all_64_9, all_64_6) = all_64_5 % 211.67/29.28 | & k13_lattice3(all_64_7, all_64_3, all_64_2) = all_64_0 & % 211.67/29.28 | k13_lattice3(all_64_10, all_64_3, all_64_2) = all_64_1 & % 211.67/29.28 | k1_zfmisc_1(all_64_6) = all_64_4 & k1_zfmisc_1(all_64_9) = all_64_8 & % 211.67/29.28 | u1_struct_0(all_64_7) = all_64_6 & u1_struct_0(all_64_10) = all_64_9 & % 211.67/29.28 | $i(all_64_0) & $i(all_64_1) & $i(all_64_2) & $i(all_64_3) & % 211.67/29.28 | $i(all_64_4) & $i(all_64_5) & $i(all_64_6) & $i(all_64_7) & % 211.67/29.28 | $i(all_64_8) & $i(all_64_9) & $i(all_64_10) & r1_latsum_1(all_64_10, % 211.67/29.28 | all_64_7) & v13_waybel_0(all_64_5, all_64_10) & % 211.67/29.28 | v12_waybel_0(all_64_5, all_64_7) & v1_waybel_0(all_64_5, all_64_7) & % 211.67/29.28 | m1_subset_1(all_64_2, all_64_6) & m1_subset_1(all_64_2, all_64_9) & % 211.67/29.28 | m1_subset_1(all_64_3, all_64_6) & m1_subset_1(all_64_3, all_64_9) & % 211.67/29.28 | m1_subset_1(all_64_5, all_64_4) & m1_subset_1(all_64_5, all_64_8) & % 211.67/29.28 | l1_orders_2(all_64_7) & l1_orders_2(all_64_10) & v1_lattice3(all_64_7) % 211.67/29.28 | & v1_lattice3(all_64_10) & v4_orders_2(all_64_7) & % 211.67/29.28 | v4_orders_2(all_64_10) & v3_orders_2(all_64_7) & % 211.67/29.28 | v3_orders_2(all_64_10) & v2_orders_2(all_64_7) & % 211.67/29.28 | v2_orders_2(all_64_10) & ~ v3_struct_0(all_64_7) & ~ % 211.67/29.28 | v3_struct_0(all_64_10) % 211.67/29.28 | % 211.67/29.28 | ALPHA: (15) implies: % 211.67/29.28 | (16) ~ (all_64_0 = all_64_1) % 211.67/29.28 | (17) ~ v3_struct_0(all_64_10) % 211.67/29.28 | (18) ~ v3_struct_0(all_64_7) % 211.67/29.28 | (19) v2_orders_2(all_64_10) % 211.67/29.28 | (20) v2_orders_2(all_64_7) % 211.67/29.28 | (21) v3_orders_2(all_64_10) % 211.67/29.28 | (22) v3_orders_2(all_64_7) % 211.67/29.28 | (23) v4_orders_2(all_64_10) % 211.67/29.28 | (24) v4_orders_2(all_64_7) % 211.67/29.28 | (25) v1_lattice3(all_64_10) % 212.03/29.28 | (26) v1_lattice3(all_64_7) % 212.03/29.28 | (27) l1_orders_2(all_64_10) % 212.03/29.28 | (28) l1_orders_2(all_64_7) % 212.03/29.28 | (29) m1_subset_1(all_64_5, all_64_8) % 212.03/29.28 | (30) m1_subset_1(all_64_5, all_64_4) % 212.03/29.28 | (31) m1_subset_1(all_64_3, all_64_9) % 212.03/29.28 | (32) m1_subset_1(all_64_3, all_64_6) % 212.03/29.28 | (33) m1_subset_1(all_64_2, all_64_9) % 212.03/29.28 | (34) m1_subset_1(all_64_2, all_64_6) % 212.03/29.28 | (35) v1_waybel_0(all_64_5, all_64_7) % 212.03/29.28 | (36) v12_waybel_0(all_64_5, all_64_7) % 212.03/29.28 | (37) v13_waybel_0(all_64_5, all_64_10) % 212.03/29.28 | (38) r1_latsum_1(all_64_10, all_64_7) % 212.03/29.28 | (39) $i(all_64_10) % 212.03/29.28 | (40) $i(all_64_9) % 212.03/29.28 | (41) $i(all_64_7) % 212.03/29.28 | (42) $i(all_64_6) % 212.03/29.28 | (43) $i(all_64_3) % 212.03/29.28 | (44) $i(all_64_2) % 212.03/29.28 | (45) u1_struct_0(all_64_10) = all_64_9 % 212.03/29.28 | (46) u1_struct_0(all_64_7) = all_64_6 % 212.03/29.28 | (47) k1_zfmisc_1(all_64_9) = all_64_8 % 212.03/29.28 | (48) k1_zfmisc_1(all_64_6) = all_64_4 % 212.03/29.28 | (49) k13_lattice3(all_64_10, all_64_3, all_64_2) = all_64_1 % 212.03/29.28 | (50) k13_lattice3(all_64_7, all_64_3, all_64_2) = all_64_0 % 212.03/29.28 | (51) k3_xboole_0(all_64_9, all_64_6) = all_64_5 % 212.03/29.28 | % 212.03/29.28 | GROUND_INST: instantiating (dt_l1_orders_2) with all_64_10, simplifying with % 212.03/29.28 | (27), (39) gives: % 212.03/29.28 | (52) l1_struct_0(all_64_10) % 212.03/29.28 | % 212.03/29.28 | GROUND_INST: instantiating (dt_l1_orders_2) with all_64_7, simplifying with % 212.03/29.28 | (28), (41) gives: % 212.03/29.28 | (53) l1_struct_0(all_64_7) % 212.03/29.28 | % 212.03/29.28 | GROUND_INST: instantiating (t2_subset) with all_64_3, all_64_9, simplifying % 212.03/29.28 | with (31), (40), (43) gives: % 212.03/29.28 | (54) v1_xboole_0(all_64_9) | r2_hidden(all_64_3, all_64_9) % 212.03/29.28 | % 212.03/29.28 | GROUND_INST: instantiating (t2_subset) with all_64_3, all_64_6, simplifying % 212.03/29.28 | with (32), (42), (43) gives: % 212.03/29.28 | (55) v1_xboole_0(all_64_6) | r2_hidden(all_64_3, all_64_6) % 212.03/29.28 | % 212.03/29.29 | GROUND_INST: instantiating (t2_subset) with all_64_2, all_64_9, simplifying % 212.03/29.29 | with (33), (40), (44) gives: % 212.03/29.29 | (56) v1_xboole_0(all_64_9) | r2_hidden(all_64_2, all_64_9) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (t2_subset) with all_64_2, all_64_6, simplifying % 212.03/29.29 | with (34), (42), (44) gives: % 212.03/29.29 | (57) v1_xboole_0(all_64_6) | r2_hidden(all_64_2, all_64_6) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (t16_latsum_1) with all_64_10, all_64_9, % 212.03/29.29 | simplifying with (17), (19), (21), (23), (25), (27), (39), (45) % 212.03/29.29 | gives: % 212.03/29.29 | (58) ? [v0: $i] : (k1_zfmisc_1(all_64_9) = v0 & $i(v0) & ! [v1: $i] : ! % 212.03/29.29 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k13_lattice3(all_64_10, % 212.03/29.29 | v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 212.03/29.29 | r2_hidden(v3, v1) | ~ r2_hidden(v2, v1) | ~ v12_waybel_0(v1, % 212.03/29.29 | all_64_10) | ~ v1_waybel_0(v1, all_64_10) | ~ m1_subset_1(v3, % 212.03/29.29 | all_64_9) | ~ m1_subset_1(v2, all_64_9) | ~ m1_subset_1(v1, % 212.03/29.29 | v0) | r2_hidden(v4, v1))) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (rc9_waybel_0) with all_64_10, all_64_9, % 212.03/29.29 | simplifying with (17), (19), (21), (27), (39), (45) gives: % 212.03/29.29 | (59) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_9) = v0 & $i(v1) & % 212.03/29.29 | $i(v0) & v12_waybel_0(v1, all_64_10) & v1_waybel_0(v1, all_64_10) & % 212.03/29.29 | m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (rc8_waybel_0) with all_64_10, all_64_9, % 212.03/29.29 | simplifying with (17), (27), (39), (45) gives: % 212.03/29.29 | (60) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_9) = v0 & $i(v1) & % 212.03/29.29 | $i(v0) & v13_waybel_0(v1, all_64_10) & v12_waybel_0(v1, all_64_10) & % 212.03/29.29 | m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (rc7_waybel_0) with all_64_10, all_64_9, % 212.03/29.29 | simplifying with (27), (39), (45) gives: % 212.03/29.29 | (61) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_9) = v0 & $i(v1) & % 212.03/29.29 | $i(v0) & v13_waybel_0(v1, all_64_10) & v12_waybel_0(v1, all_64_10) & % 212.03/29.29 | m1_subset_1(v1, v0)) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (t18_latsum_1) with all_64_10, all_64_9, % 212.03/29.29 | simplifying with (27), (39), (45) gives: % 212.03/29.29 | (62) ? [v0: $i] : (k1_zfmisc_1(all_64_9) = v0 & $i(v0) & ! [v1: $i] : ! % 212.03/29.29 | [v2: $i] : ! [v3: $i] : ( ~ (k3_xboole_0(all_64_9, v2) = v3) | ~ % 212.03/29.29 | (u1_struct_0(v1) = v2) | ~ $i(v1) | ~ l1_orders_2(v1) | ? [v4: % 212.03/29.29 | $i] : ? [v5: $i] : (k1_latsum_1(all_64_10, v1) = v4 & % 212.03/29.29 | u1_struct_0(v4) = v5 & $i(v5) & $i(v4) & ! [v6: $i] : ! [v7: % 212.03/29.29 | $i] : ( ~ $i(v7) | ~ $i(v6) | ~ r1_orders_2(v4, v6, v7) | ~ % 212.03/29.29 | r2_hidden(v6, v2) | ~ v13_waybel_0(v3, all_64_10) | ~ % 212.03/29.29 | m1_subset_1(v7, v5) | ~ m1_subset_1(v6, v5) | ~ % 212.03/29.29 | m1_subset_1(v3, v0) | r2_hidden(v7, v2))))) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (t16_latsum_1) with all_64_7, all_64_6, simplifying % 212.03/29.29 | with (18), (20), (22), (24), (26), (28), (41), (46) gives: % 212.03/29.29 | (63) ? [v0: $i] : (k1_zfmisc_1(all_64_6) = v0 & $i(v0) & ! [v1: $i] : ! % 212.03/29.29 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k13_lattice3(all_64_7, % 212.03/29.29 | v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 212.03/29.29 | r2_hidden(v3, v1) | ~ r2_hidden(v2, v1) | ~ v12_waybel_0(v1, % 212.03/29.29 | all_64_7) | ~ v1_waybel_0(v1, all_64_7) | ~ m1_subset_1(v3, % 212.03/29.29 | all_64_6) | ~ m1_subset_1(v2, all_64_6) | ~ m1_subset_1(v1, % 212.03/29.29 | v0) | r2_hidden(v4, v1))) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (rc9_waybel_0) with all_64_7, all_64_6, simplifying % 212.03/29.29 | with (18), (20), (22), (28), (41), (46) gives: % 212.03/29.29 | (64) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_6) = v0 & $i(v1) & % 212.03/29.29 | $i(v0) & v12_waybel_0(v1, all_64_7) & v1_waybel_0(v1, all_64_7) & % 212.03/29.29 | m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (rc8_waybel_0) with all_64_7, all_64_6, simplifying % 212.03/29.29 | with (18), (28), (41), (46) gives: % 212.03/29.29 | (65) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_6) = v0 & $i(v1) & % 212.03/29.29 | $i(v0) & v13_waybel_0(v1, all_64_7) & v12_waybel_0(v1, all_64_7) & % 212.03/29.29 | m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (rc7_waybel_0) with all_64_7, all_64_6, simplifying % 212.03/29.29 | with (28), (41), (46) gives: % 212.03/29.29 | (66) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_6) = v0 & $i(v1) & % 212.03/29.29 | $i(v0) & v13_waybel_0(v1, all_64_7) & v12_waybel_0(v1, all_64_7) & % 212.03/29.29 | m1_subset_1(v1, v0)) % 212.03/29.29 | % 212.03/29.29 | GROUND_INST: instantiating (t18_latsum_1) with all_64_7, all_64_6, simplifying % 212.03/29.29 | with (28), (41), (46) gives: % 212.03/29.30 | (67) ? [v0: $i] : (k1_zfmisc_1(all_64_6) = v0 & $i(v0) & ! [v1: $i] : ! % 212.03/29.30 | [v2: $i] : ! [v3: $i] : ( ~ (k3_xboole_0(all_64_6, v2) = v3) | ~ % 212.03/29.30 | (u1_struct_0(v1) = v2) | ~ $i(v1) | ~ l1_orders_2(v1) | ? [v4: % 212.03/29.30 | $i] : ? [v5: $i] : (k1_latsum_1(all_64_7, v1) = v4 & % 212.03/29.30 | u1_struct_0(v4) = v5 & $i(v5) & $i(v4) & ! [v6: $i] : ! [v7: % 212.03/29.30 | $i] : ( ~ $i(v7) | ~ $i(v6) | ~ r1_orders_2(v4, v6, v7) | ~ % 212.03/29.30 | r2_hidden(v6, v2) | ~ v13_waybel_0(v3, all_64_7) | ~ % 212.03/29.30 | m1_subset_1(v7, v5) | ~ m1_subset_1(v6, v5) | ~ % 212.03/29.30 | m1_subset_1(v3, v0) | r2_hidden(v7, v2))))) % 212.03/29.30 | % 212.03/29.30 | GROUND_INST: instantiating (commutativity_k13_lattice3) with all_64_10, % 212.03/29.30 | all_64_3, all_64_2, all_64_1, simplifying with (23), (25), (27), % 212.03/29.30 | (39), (43), (44), (49) gives: % 212.03/29.30 | (68) ? [v0: $i] : ? [v1: int] : ((v1 = all_64_1 & k13_lattice3(all_64_10, % 212.03/29.30 | all_64_2, all_64_3) = all_64_1 & $i(all_64_1)) | % 212.03/29.30 | (u1_struct_0(all_64_10) = v0 & $i(v0) & ( ~ m1_subset_1(all_64_2, % 212.03/29.30 | v0) | ~ m1_subset_1(all_64_3, v0)))) % 212.03/29.30 | % 212.03/29.30 | GROUND_INST: instantiating (dt_k13_lattice3) with all_64_10, all_64_3, % 212.03/29.30 | all_64_2, all_64_1, simplifying with (23), (25), (27), (39), % 212.03/29.30 | (43), (44), (49) gives: % 212.03/29.30 | (69) ? [v0: $i] : (u1_struct_0(all_64_10) = v0 & $i(v0) & ( ~ % 212.03/29.30 | m1_subset_1(all_64_2, v0) | ~ m1_subset_1(all_64_3, v0) | % 212.03/29.30 | m1_subset_1(all_64_1, v0))) % 212.03/29.30 | % 212.03/29.30 | GROUND_INST: instantiating (commutativity_k13_lattice3) with all_64_7, % 212.03/29.30 | all_64_3, all_64_2, all_64_0, simplifying with (24), (26), (28), % 212.03/29.30 | (41), (43), (44), (50) gives: % 212.03/29.30 | (70) ? [v0: $i] : ? [v1: int] : ((v1 = all_64_0 & k13_lattice3(all_64_7, % 212.03/29.30 | all_64_2, all_64_3) = all_64_0 & $i(all_64_0)) | % 212.03/29.30 | (u1_struct_0(all_64_7) = v0 & $i(v0) & ( ~ m1_subset_1(all_64_2, v0) % 212.03/29.30 | | ~ m1_subset_1(all_64_3, v0)))) % 212.03/29.30 | % 212.03/29.30 | GROUND_INST: instantiating (dt_k13_lattice3) with all_64_7, all_64_3, % 212.03/29.30 | all_64_2, all_64_0, simplifying with (24), (26), (28), (41), % 212.03/29.30 | (43), (44), (50) gives: % 212.03/29.30 | (71) ? [v0: $i] : (u1_struct_0(all_64_7) = v0 & $i(v0) & ( ~ % 212.03/29.30 | m1_subset_1(all_64_2, v0) | ~ m1_subset_1(all_64_3, v0) | % 212.03/29.30 | m1_subset_1(all_64_0, v0))) % 212.03/29.30 | % 212.03/29.30 | GROUND_INST: instantiating (commutativity_k3_xboole_0) with all_64_9, % 212.03/29.30 | all_64_6, all_64_5, simplifying with (40), (42), (51) gives: % 212.03/29.30 | (72) k3_xboole_0(all_64_6, all_64_9) = all_64_5 & $i(all_64_5) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (72) implies: % 212.03/29.30 | (73) $i(all_64_5) % 212.03/29.30 | (74) k3_xboole_0(all_64_6, all_64_9) = all_64_5 % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (71) with fresh symbol all_72_0 gives: % 212.03/29.30 | (75) u1_struct_0(all_64_7) = all_72_0 & $i(all_72_0) & ( ~ % 212.03/29.30 | m1_subset_1(all_64_2, all_72_0) | ~ m1_subset_1(all_64_3, all_72_0) % 212.03/29.30 | | m1_subset_1(all_64_0, all_72_0)) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (75) implies: % 212.03/29.30 | (76) $i(all_72_0) % 212.03/29.30 | (77) u1_struct_0(all_64_7) = all_72_0 % 212.03/29.30 | (78) ~ m1_subset_1(all_64_2, all_72_0) | ~ m1_subset_1(all_64_3, % 212.03/29.30 | all_72_0) | m1_subset_1(all_64_0, all_72_0) % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (69) with fresh symbol all_74_0 gives: % 212.03/29.30 | (79) u1_struct_0(all_64_10) = all_74_0 & $i(all_74_0) & ( ~ % 212.03/29.30 | m1_subset_1(all_64_2, all_74_0) | ~ m1_subset_1(all_64_3, all_74_0) % 212.03/29.30 | | m1_subset_1(all_64_1, all_74_0)) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (79) implies: % 212.03/29.30 | (80) $i(all_74_0) % 212.03/29.30 | (81) u1_struct_0(all_64_10) = all_74_0 % 212.03/29.30 | (82) ~ m1_subset_1(all_64_2, all_74_0) | ~ m1_subset_1(all_64_3, % 212.03/29.30 | all_74_0) | m1_subset_1(all_64_1, all_74_0) % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (61) with fresh symbols all_76_0, all_76_1 gives: % 212.03/29.30 | (83) k1_zfmisc_1(all_64_9) = all_76_1 & $i(all_76_0) & $i(all_76_1) & % 212.03/29.30 | v13_waybel_0(all_76_0, all_64_10) & v12_waybel_0(all_76_0, all_64_10) % 212.03/29.30 | & m1_subset_1(all_76_0, all_76_1) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (83) implies: % 212.03/29.30 | (84) k1_zfmisc_1(all_64_9) = all_76_1 % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (66) with fresh symbols all_78_0, all_78_1 gives: % 212.03/29.30 | (85) k1_zfmisc_1(all_64_6) = all_78_1 & $i(all_78_0) & $i(all_78_1) & % 212.03/29.30 | v13_waybel_0(all_78_0, all_64_7) & v12_waybel_0(all_78_0, all_64_7) & % 212.03/29.30 | m1_subset_1(all_78_0, all_78_1) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (85) implies: % 212.03/29.30 | (86) $i(all_78_1) % 212.03/29.30 | (87) k1_zfmisc_1(all_64_6) = all_78_1 % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (70) with fresh symbols all_80_0, all_80_1 gives: % 212.03/29.30 | (88) (all_80_0 = all_64_0 & k13_lattice3(all_64_7, all_64_2, all_64_3) = % 212.03/29.30 | all_64_0 & $i(all_64_0)) | (u1_struct_0(all_64_7) = all_80_1 & % 212.03/29.30 | $i(all_80_1) & ( ~ m1_subset_1(all_64_2, all_80_1) | ~ % 212.03/29.30 | m1_subset_1(all_64_3, all_80_1))) % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (65) with fresh symbols all_81_0, all_81_1 gives: % 212.03/29.30 | (89) k1_zfmisc_1(all_64_6) = all_81_1 & $i(all_81_0) & $i(all_81_1) & % 212.03/29.30 | v13_waybel_0(all_81_0, all_64_7) & v12_waybel_0(all_81_0, all_64_7) & % 212.03/29.30 | m1_subset_1(all_81_0, all_81_1) & ~ v1_xboole_0(all_81_0) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (89) implies: % 212.03/29.30 | (90) k1_zfmisc_1(all_64_6) = all_81_1 % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (64) with fresh symbols all_83_0, all_83_1 gives: % 212.03/29.30 | (91) k1_zfmisc_1(all_64_6) = all_83_1 & $i(all_83_0) & $i(all_83_1) & % 212.03/29.30 | v12_waybel_0(all_83_0, all_64_7) & v1_waybel_0(all_83_0, all_64_7) & % 212.03/29.30 | m1_subset_1(all_83_0, all_83_1) & ~ v1_xboole_0(all_83_0) % 212.03/29.30 | % 212.03/29.30 | ALPHA: (91) implies: % 212.03/29.30 | (92) m1_subset_1(all_83_0, all_83_1) % 212.03/29.30 | (93) $i(all_83_0) % 212.03/29.30 | (94) k1_zfmisc_1(all_64_6) = all_83_1 % 212.03/29.30 | % 212.03/29.30 | DELTA: instantiating (68) with fresh symbols all_85_0, all_85_1 gives: % 212.03/29.31 | (95) (all_85_0 = all_64_1 & k13_lattice3(all_64_10, all_64_2, all_64_3) = % 212.03/29.31 | all_64_1 & $i(all_64_1)) | (u1_struct_0(all_64_10) = all_85_1 & % 212.03/29.31 | $i(all_85_1) & ( ~ m1_subset_1(all_64_2, all_85_1) | ~ % 212.03/29.31 | m1_subset_1(all_64_3, all_85_1))) % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (59) with fresh symbols all_86_0, all_86_1 gives: % 212.03/29.31 | (96) k1_zfmisc_1(all_64_9) = all_86_1 & $i(all_86_0) & $i(all_86_1) & % 212.03/29.31 | v12_waybel_0(all_86_0, all_64_10) & v1_waybel_0(all_86_0, all_64_10) & % 212.03/29.31 | m1_subset_1(all_86_0, all_86_1) & ~ v1_xboole_0(all_86_0) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (96) implies: % 212.03/29.31 | (97) k1_zfmisc_1(all_64_9) = all_86_1 % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (60) with fresh symbols all_88_0, all_88_1 gives: % 212.03/29.31 | (98) k1_zfmisc_1(all_64_9) = all_88_1 & $i(all_88_0) & $i(all_88_1) & % 212.03/29.31 | v13_waybel_0(all_88_0, all_64_10) & v12_waybel_0(all_88_0, all_64_10) % 212.03/29.31 | & m1_subset_1(all_88_0, all_88_1) & ~ v1_xboole_0(all_88_0) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (98) implies: % 212.03/29.31 | (99) k1_zfmisc_1(all_64_9) = all_88_1 % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (58) with fresh symbol all_90_0 gives: % 212.03/29.31 | (100) k1_zfmisc_1(all_64_9) = all_90_0 & $i(all_90_0) & ! [v0: $i] : ! % 212.03/29.31 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k13_lattice3(all_64_10, % 212.03/29.31 | v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.31 | r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ v12_waybel_0(v0, % 212.03/29.31 | all_64_10) | ~ v1_waybel_0(v0, all_64_10) | ~ m1_subset_1(v2, % 212.03/29.31 | all_64_9) | ~ m1_subset_1(v1, all_64_9) | ~ m1_subset_1(v0, % 212.03/29.31 | all_90_0) | r2_hidden(v3, v0)) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (100) implies: % 212.03/29.31 | (101) k1_zfmisc_1(all_64_9) = all_90_0 % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (63) with fresh symbol all_93_0 gives: % 212.03/29.31 | (102) k1_zfmisc_1(all_64_6) = all_93_0 & $i(all_93_0) & ! [v0: $i] : ! % 212.03/29.31 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k13_lattice3(all_64_7, % 212.03/29.31 | v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.31 | r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ v12_waybel_0(v0, % 212.03/29.31 | all_64_7) | ~ v1_waybel_0(v0, all_64_7) | ~ m1_subset_1(v2, % 212.03/29.31 | all_64_6) | ~ m1_subset_1(v1, all_64_6) | ~ m1_subset_1(v0, % 212.03/29.31 | all_93_0) | r2_hidden(v3, v0)) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (102) implies: % 212.03/29.31 | (103) k1_zfmisc_1(all_64_6) = all_93_0 % 212.03/29.31 | (104) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 212.03/29.31 | (k13_lattice3(all_64_7, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 212.03/29.31 | $i(v0) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ % 212.03/29.31 | v12_waybel_0(v0, all_64_7) | ~ v1_waybel_0(v0, all_64_7) | ~ % 212.03/29.31 | m1_subset_1(v2, all_64_6) | ~ m1_subset_1(v1, all_64_6) | ~ % 212.03/29.31 | m1_subset_1(v0, all_93_0) | r2_hidden(v3, v0)) % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (62) with fresh symbol all_96_0 gives: % 212.03/29.31 | (105) k1_zfmisc_1(all_64_9) = all_96_0 & $i(all_96_0) & ! [v0: $i] : ! % 212.03/29.31 | [v1: $i] : ! [v2: $i] : ( ~ (k3_xboole_0(all_64_9, v1) = v2) | ~ % 212.03/29.31 | (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_orders_2(v0) | ? [v3: % 212.03/29.31 | $i] : ? [v4: $i] : (k1_latsum_1(all_64_10, v0) = v3 & % 212.03/29.31 | u1_struct_0(v3) = v4 & $i(v4) & $i(v3) & ! [v5: $i] : ! [v6: % 212.03/29.31 | $i] : ( ~ $i(v6) | ~ $i(v5) | ~ r1_orders_2(v3, v5, v6) | ~ % 212.03/29.31 | r2_hidden(v5, v1) | ~ v13_waybel_0(v2, all_64_10) | ~ % 212.03/29.31 | m1_subset_1(v6, v4) | ~ m1_subset_1(v5, v4) | ~ % 212.03/29.31 | m1_subset_1(v2, all_96_0) | r2_hidden(v6, v1)))) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (105) implies: % 212.03/29.31 | (106) k1_zfmisc_1(all_64_9) = all_96_0 % 212.03/29.31 | (107) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_xboole_0(all_64_9, % 212.03/29.31 | v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 212.03/29.31 | l1_orders_2(v0) | ? [v3: $i] : ? [v4: $i] : % 212.03/29.31 | (k1_latsum_1(all_64_10, v0) = v3 & u1_struct_0(v3) = v4 & $i(v4) & % 212.03/29.31 | $i(v3) & ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ % 212.03/29.31 | r1_orders_2(v3, v5, v6) | ~ r2_hidden(v5, v1) | ~ % 212.03/29.31 | v13_waybel_0(v2, all_64_10) | ~ m1_subset_1(v6, v4) | ~ % 212.03/29.31 | m1_subset_1(v5, v4) | ~ m1_subset_1(v2, all_96_0) | % 212.03/29.31 | r2_hidden(v6, v1)))) % 212.03/29.31 | % 212.03/29.31 | GROUND_INST: instantiating (107) with all_64_7, all_64_6, all_64_5, % 212.03/29.31 | simplifying with (28), (41), (46), (51) gives: % 212.03/29.31 | (108) ? [v0: $i] : ? [v1: $i] : (k1_latsum_1(all_64_10, all_64_7) = v0 & % 212.03/29.31 | u1_struct_0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] % 212.03/29.31 | : ( ~ $i(v3) | ~ $i(v2) | ~ r1_orders_2(v0, v2, v3) | ~ % 212.03/29.31 | r2_hidden(v2, all_64_6) | ~ v13_waybel_0(all_64_5, all_64_10) | % 212.03/29.31 | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ % 212.03/29.31 | m1_subset_1(all_64_5, all_96_0) | r2_hidden(v3, all_64_6))) % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (67) with fresh symbol all_99_0 gives: % 212.03/29.31 | (109) k1_zfmisc_1(all_64_6) = all_99_0 & $i(all_99_0) & ! [v0: $i] : ! % 212.03/29.31 | [v1: $i] : ! [v2: $i] : ( ~ (k3_xboole_0(all_64_6, v1) = v2) | ~ % 212.03/29.31 | (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_orders_2(v0) | ? [v3: % 212.03/29.31 | $i] : ? [v4: $i] : (k1_latsum_1(all_64_7, v0) = v3 & % 212.03/29.31 | u1_struct_0(v3) = v4 & $i(v4) & $i(v3) & ! [v5: $i] : ! [v6: % 212.03/29.31 | $i] : ( ~ $i(v6) | ~ $i(v5) | ~ r1_orders_2(v3, v5, v6) | ~ % 212.03/29.31 | r2_hidden(v5, v1) | ~ v13_waybel_0(v2, all_64_7) | ~ % 212.03/29.31 | m1_subset_1(v6, v4) | ~ m1_subset_1(v5, v4) | ~ % 212.03/29.31 | m1_subset_1(v2, all_99_0) | r2_hidden(v6, v1)))) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (109) implies: % 212.03/29.31 | (110) k1_zfmisc_1(all_64_6) = all_99_0 % 212.03/29.31 | (111) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_xboole_0(all_64_6, % 212.03/29.31 | v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 212.03/29.31 | l1_orders_2(v0) | ? [v3: $i] : ? [v4: $i] : % 212.03/29.31 | (k1_latsum_1(all_64_7, v0) = v3 & u1_struct_0(v3) = v4 & $i(v4) & % 212.03/29.31 | $i(v3) & ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ % 212.03/29.31 | r1_orders_2(v3, v5, v6) | ~ r2_hidden(v5, v1) | ~ % 212.03/29.31 | v13_waybel_0(v2, all_64_7) | ~ m1_subset_1(v6, v4) | ~ % 212.03/29.31 | m1_subset_1(v5, v4) | ~ m1_subset_1(v2, all_99_0) | % 212.03/29.31 | r2_hidden(v6, v1)))) % 212.03/29.31 | % 212.03/29.31 | DELTA: instantiating (108) with fresh symbols all_102_0, all_102_1 gives: % 212.03/29.31 | (112) k1_latsum_1(all_64_10, all_64_7) = all_102_1 & u1_struct_0(all_102_1) % 212.03/29.31 | = all_102_0 & $i(all_102_0) & $i(all_102_1) & ! [v0: $i] : ! [v1: % 212.03/29.31 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1_orders_2(all_102_1, v0, v1) | % 212.03/29.31 | ~ r2_hidden(v0, all_64_6) | ~ v13_waybel_0(all_64_5, all_64_10) | % 212.03/29.31 | ~ m1_subset_1(v1, all_102_0) | ~ m1_subset_1(v0, all_102_0) | ~ % 212.03/29.31 | m1_subset_1(all_64_5, all_96_0) | r2_hidden(v1, all_64_6)) % 212.03/29.31 | % 212.03/29.31 | ALPHA: (112) implies: % 212.03/29.31 | (113) $i(all_102_1) % 212.03/29.31 | (114) u1_struct_0(all_102_1) = all_102_0 % 212.03/29.31 | (115) k1_latsum_1(all_64_10, all_64_7) = all_102_1 % 212.03/29.32 | (116) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.32 | r1_orders_2(all_102_1, v0, v1) | ~ r2_hidden(v0, all_64_6) | ~ % 212.03/29.32 | v13_waybel_0(all_64_5, all_64_10) | ~ m1_subset_1(v1, all_102_0) | % 212.03/29.32 | ~ m1_subset_1(v0, all_102_0) | ~ m1_subset_1(all_64_5, all_96_0) % 212.03/29.32 | | r2_hidden(v1, all_64_6)) % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (12) with all_64_9, all_74_0, all_64_10, % 212.03/29.32 | simplifying with (45), (81) gives: % 212.03/29.32 | (117) all_74_0 = all_64_9 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (12) with all_64_6, all_72_0, all_64_7, simplifying % 212.03/29.32 | with (46), (77) gives: % 212.03/29.32 | (118) all_72_0 = all_64_6 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_64_8, all_90_0, all_64_9, simplifying % 212.03/29.32 | with (47), (101) gives: % 212.03/29.32 | (119) all_90_0 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_88_1, all_90_0, all_64_9, simplifying % 212.03/29.32 | with (99), (101) gives: % 212.03/29.32 | (120) all_90_0 = all_88_1 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_88_1, all_96_0, all_64_9, simplifying % 212.03/29.32 | with (99), (106) gives: % 212.03/29.32 | (121) all_96_0 = all_88_1 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_86_1, all_96_0, all_64_9, simplifying % 212.03/29.32 | with (97), (106) gives: % 212.03/29.32 | (122) all_96_0 = all_86_1 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_76_1, all_96_0, all_64_9, simplifying % 212.03/29.32 | with (84), (106) gives: % 212.03/29.32 | (123) all_96_0 = all_76_1 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_64_4, all_81_1, all_64_6, simplifying % 212.03/29.32 | with (48), (90) gives: % 212.03/29.32 | (124) all_81_1 = all_64_4 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_81_1, all_83_1, all_64_6, simplifying % 212.03/29.32 | with (90), (94) gives: % 212.03/29.32 | (125) all_83_1 = all_81_1 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_83_1, all_93_0, all_64_6, simplifying % 212.03/29.32 | with (94), (103) gives: % 212.03/29.32 | (126) all_93_0 = all_83_1 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_93_0, all_99_0, all_64_6, simplifying % 212.03/29.32 | with (103), (110) gives: % 212.03/29.32 | (127) all_99_0 = all_93_0 % 212.03/29.32 | % 212.03/29.32 | GROUND_INST: instantiating (13) with all_78_1, all_99_0, all_64_6, simplifying % 212.03/29.32 | with (87), (110) gives: % 212.03/29.32 | (128) all_99_0 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (127), (128) imply: % 212.03/29.32 | (129) all_93_0 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | SIMP: (129) implies: % 212.03/29.32 | (130) all_93_0 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (121), (122) imply: % 212.03/29.32 | (131) all_88_1 = all_86_1 % 212.03/29.32 | % 212.03/29.32 | SIMP: (131) implies: % 212.03/29.32 | (132) all_88_1 = all_86_1 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (122), (123) imply: % 212.03/29.32 | (133) all_86_1 = all_76_1 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (126), (130) imply: % 212.03/29.32 | (134) all_83_1 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | SIMP: (134) implies: % 212.03/29.32 | (135) all_83_1 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (119), (120) imply: % 212.03/29.32 | (136) all_88_1 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | SIMP: (136) implies: % 212.03/29.32 | (137) all_88_1 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (132), (137) imply: % 212.03/29.32 | (138) all_86_1 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | SIMP: (138) implies: % 212.03/29.32 | (139) all_86_1 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (133), (139) imply: % 212.03/29.32 | (140) all_76_1 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | SIMP: (140) implies: % 212.03/29.32 | (141) all_76_1 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (125), (135) imply: % 212.03/29.32 | (142) all_81_1 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | SIMP: (142) implies: % 212.03/29.32 | (143) all_81_1 = all_78_1 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (124), (143) imply: % 212.03/29.32 | (144) all_78_1 = all_64_4 % 212.03/29.32 | % 212.03/29.32 | SIMP: (144) implies: % 212.03/29.32 | (145) all_78_1 = all_64_4 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (135), (145) imply: % 212.03/29.32 | (146) all_83_1 = all_64_4 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (130), (145) imply: % 212.03/29.32 | (147) all_93_0 = all_64_4 % 212.03/29.32 | % 212.03/29.32 | COMBINE_EQS: (122), (139) imply: % 212.03/29.32 | (148) all_96_0 = all_64_8 % 212.03/29.32 | % 212.03/29.32 | REDUCE: (86), (145) imply: % 212.03/29.32 | (149) $i(all_64_4) % 212.03/29.32 | % 212.03/29.32 | REDUCE: (92), (146) imply: % 212.03/29.32 | (150) m1_subset_1(all_83_0, all_64_4) % 212.03/29.32 | % 212.03/29.32 | BETA: splitting (78) gives: % 212.03/29.32 | % 212.03/29.32 | Case 1: % 212.03/29.32 | | % 212.03/29.32 | | (151) ~ m1_subset_1(all_64_2, all_72_0) % 212.03/29.32 | | % 212.03/29.32 | | REDUCE: (118), (151) imply: % 212.03/29.32 | | (152) ~ m1_subset_1(all_64_2, all_64_6) % 212.03/29.32 | | % 212.03/29.32 | | PRED_UNIFY: (34), (152) imply: % 212.03/29.32 | | (153) $false % 212.03/29.32 | | % 212.03/29.32 | | CLOSE: (153) is inconsistent. % 212.03/29.32 | | % 212.03/29.32 | Case 2: % 212.03/29.32 | | % 212.03/29.32 | | (154) m1_subset_1(all_64_2, all_72_0) % 212.03/29.32 | | (155) ~ m1_subset_1(all_64_3, all_72_0) | m1_subset_1(all_64_0, % 212.03/29.32 | | all_72_0) % 212.03/29.32 | | % 212.03/29.32 | | BETA: splitting (82) gives: % 212.03/29.32 | | % 212.03/29.32 | | Case 1: % 212.03/29.32 | | | % 212.03/29.32 | | | (156) ~ m1_subset_1(all_64_2, all_74_0) % 212.03/29.32 | | | % 212.03/29.32 | | | REDUCE: (117), (156) imply: % 212.03/29.32 | | | (157) ~ m1_subset_1(all_64_2, all_64_9) % 212.03/29.32 | | | % 212.03/29.32 | | | PRED_UNIFY: (33), (157) imply: % 212.03/29.32 | | | (158) $false % 212.03/29.32 | | | % 212.03/29.32 | | | CLOSE: (158) is inconsistent. % 212.03/29.32 | | | % 212.03/29.32 | | Case 2: % 212.03/29.32 | | | % 212.03/29.32 | | | (159) m1_subset_1(all_64_2, all_74_0) % 212.03/29.32 | | | (160) ~ m1_subset_1(all_64_3, all_74_0) | m1_subset_1(all_64_1, % 212.03/29.32 | | | all_74_0) % 212.03/29.32 | | | % 212.03/29.32 | | | BETA: splitting (160) gives: % 212.03/29.32 | | | % 212.03/29.32 | | | Case 1: % 212.03/29.32 | | | | % 212.03/29.32 | | | | (161) ~ m1_subset_1(all_64_3, all_74_0) % 212.03/29.32 | | | | % 212.03/29.32 | | | | REDUCE: (117), (161) imply: % 212.03/29.32 | | | | (162) ~ m1_subset_1(all_64_3, all_64_9) % 212.03/29.32 | | | | % 212.03/29.32 | | | | PRED_UNIFY: (31), (162) imply: % 212.03/29.32 | | | | (163) $false % 212.03/29.32 | | | | % 212.03/29.32 | | | | CLOSE: (163) is inconsistent. % 212.03/29.32 | | | | % 212.03/29.32 | | | Case 2: % 212.03/29.32 | | | | % 212.03/29.32 | | | | (164) m1_subset_1(all_64_3, all_74_0) % 212.03/29.32 | | | | (165) m1_subset_1(all_64_1, all_74_0) % 212.03/29.32 | | | | % 212.03/29.32 | | | | REDUCE: (117), (165) imply: % 212.03/29.32 | | | | (166) m1_subset_1(all_64_1, all_64_9) % 212.03/29.32 | | | | % 212.03/29.32 | | | | BETA: splitting (155) gives: % 212.03/29.32 | | | | % 212.03/29.32 | | | | Case 1: % 212.03/29.32 | | | | | % 212.03/29.33 | | | | | (167) ~ m1_subset_1(all_64_3, all_72_0) % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | REDUCE: (118), (167) imply: % 212.03/29.33 | | | | | (168) ~ m1_subset_1(all_64_3, all_64_6) % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | PRED_UNIFY: (32), (168) imply: % 212.03/29.33 | | | | | (169) $false % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | CLOSE: (169) is inconsistent. % 212.03/29.33 | | | | | % 212.03/29.33 | | | | Case 2: % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | (170) m1_subset_1(all_64_3, all_72_0) % 212.03/29.33 | | | | | (171) m1_subset_1(all_64_0, all_72_0) % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | REDUCE: (118), (171) imply: % 212.03/29.33 | | | | | (172) m1_subset_1(all_64_0, all_64_6) % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | BETA: splitting (95) gives: % 212.03/29.33 | | | | | % 212.03/29.33 | | | | | Case 1: % 212.03/29.33 | | | | | | % 212.03/29.33 | | | | | | (173) all_85_0 = all_64_1 & k13_lattice3(all_64_10, all_64_2, % 212.03/29.33 | | | | | | all_64_3) = all_64_1 & $i(all_64_1) % 212.03/29.33 | | | | | | % 212.03/29.33 | | | | | | ALPHA: (173) implies: % 212.03/29.33 | | | | | | (174) $i(all_64_1) % 212.03/29.33 | | | | | | (175) k13_lattice3(all_64_10, all_64_2, all_64_3) = all_64_1 % 212.03/29.33 | | | | | | % 212.03/29.33 | | | | | | BETA: splitting (88) gives: % 212.03/29.33 | | | | | | % 212.03/29.33 | | | | | | Case 1: % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | (176) all_80_0 = all_64_0 & k13_lattice3(all_64_7, all_64_2, % 212.03/29.33 | | | | | | | all_64_3) = all_64_0 & $i(all_64_0) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | ALPHA: (176) implies: % 212.03/29.33 | | | | | | | (177) $i(all_64_0) % 212.03/29.33 | | | | | | | (178) k13_lattice3(all_64_7, all_64_2, all_64_3) = all_64_0 % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (t2_subset) with all_64_1, all_64_9, % 212.03/29.33 | | | | | | | simplifying with (40), (166), (174) gives: % 212.03/29.33 | | | | | | | (179) v1_xboole_0(all_64_9) | r2_hidden(all_64_1, all_64_9) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (t2_subset) with all_64_0, all_64_6, % 212.03/29.33 | | | | | | | simplifying with (42), (172), (177) gives: % 212.03/29.33 | | | | | | | (180) v1_xboole_0(all_64_6) | r2_hidden(all_64_0, all_64_6) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (t2_subset) with all_83_0, all_64_4, % 212.03/29.33 | | | | | | | simplifying with (93), (149), (150) gives: % 212.03/29.33 | | | | | | | (181) v1_xboole_0(all_64_4) | r2_hidden(all_83_0, all_64_4) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (rc5_struct_0) with all_64_10, % 212.03/29.33 | | | | | | | all_64_9, simplifying with (17), (39), (45), (52) % 212.03/29.33 | | | | | | | gives: % 212.03/29.33 | | | | | | | (182) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_9) = v0 & % 212.03/29.33 | | | | | | | $i(v1) & $i(v0) & m1_subset_1(v1, v0) & ~ % 212.03/29.33 | | | | | | | v1_xboole_0(v1)) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (rc5_struct_0) with all_64_7, all_64_6, % 212.03/29.33 | | | | | | | simplifying with (18), (41), (46), (53) gives: % 212.03/29.33 | | | | | | | (183) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_64_6) = v0 & % 212.03/29.33 | | | | | | | $i(v1) & $i(v0) & m1_subset_1(v1, v0) & ~ % 212.03/29.33 | | | | | | | v1_xboole_0(v1)) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (8) with all_64_10, all_64_9, all_64_2, % 212.03/29.33 | | | | | | | all_64_3, all_64_1, simplifying with (23), (25), % 212.03/29.33 | | | | | | | (27), (31), (33), (39), (43), (44), (45), (166), % 212.03/29.33 | | | | | | | (174), (175) gives: % 212.03/29.33 | | | | | | | (184) r1_orders_2(all_64_10, all_64_3, all_64_1) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (7) with all_64_10, all_64_9, all_64_2, % 212.03/29.33 | | | | | | | all_64_3, all_64_1, simplifying with (23), (25), % 212.03/29.33 | | | | | | | (27), (31), (33), (39), (43), (44), (45), (166), % 212.03/29.33 | | | | | | | (174), (175) gives: % 212.03/29.33 | | | | | | | (185) r1_orders_2(all_64_10, all_64_2, all_64_1) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (8) with all_64_7, all_64_6, all_64_2, % 212.03/29.33 | | | | | | | all_64_3, all_64_0, simplifying with (24), (26), % 212.03/29.33 | | | | | | | (28), (32), (34), (41), (43), (44), (46), (172), % 212.03/29.33 | | | | | | | (177), (178) gives: % 212.03/29.33 | | | | | | | (186) r1_orders_2(all_64_7, all_64_3, all_64_0) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (7) with all_64_7, all_64_6, all_64_2, % 212.03/29.33 | | | | | | | all_64_3, all_64_0, simplifying with (24), (26), % 212.03/29.33 | | | | | | | (28), (32), (34), (41), (43), (44), (46), (172), % 212.03/29.33 | | | | | | | (177), (178) gives: % 212.03/29.33 | | | | | | | (187) r1_orders_2(all_64_7, all_64_2, all_64_0) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (111) with all_64_10, all_64_9, % 212.03/29.33 | | | | | | | all_64_5, simplifying with (27), (39), (45), (74) % 212.03/29.33 | | | | | | | gives: % 212.03/29.33 | | | | | | | (188) ? [v0: $i] : ? [v1: $i] : (k1_latsum_1(all_64_7, % 212.03/29.33 | | | | | | | all_64_10) = v0 & u1_struct_0(v0) = v1 & $i(v1) & % 212.03/29.33 | | | | | | | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 212.03/29.33 | | | | | | | $i(v2) | ~ r1_orders_2(v0, v2, v3) | ~ % 212.03/29.33 | | | | | | | r2_hidden(v2, all_64_9) | ~ v13_waybel_0(all_64_5, % 212.03/29.33 | | | | | | | all_64_7) | ~ m1_subset_1(v3, v1) | ~ % 212.03/29.33 | | | | | | | m1_subset_1(v2, v1) | ~ m1_subset_1(all_64_5, % 212.03/29.33 | | | | | | | all_99_0) | r2_hidden(v3, all_64_9))) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (t10_latsum_1) with all_64_10, % 212.03/29.33 | | | | | | | all_64_9, all_64_7, all_102_1, simplifying with (17), % 212.03/29.33 | | | | | | | (18), (19), (20), (21), (22), (23), (24), (25), (26), % 212.03/29.33 | | | | | | | (27), (28), (39), (41), (45), (115) gives: % 212.03/29.33 | | | | | | | (189) ? [v0: $i] : (u1_struct_0(all_102_1) = v0 & $i(v0) & ! % 212.03/29.33 | | | | | | | [v1: $i] : ( ~ $i(v1) | ~ r2_hidden(v1, all_64_9) | % 212.03/29.33 | | | | | | | m1_subset_1(v1, v0))) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (t8_latsum_1) with all_64_10, all_64_9, % 212.03/29.33 | | | | | | | all_64_7, all_102_1, simplifying with (17), (18), % 212.03/29.33 | | | | | | | (27), (28), (39), (41), (45), (115) gives: % 212.03/29.33 | | | | | | | (190) ? [v0: $i] : (u1_struct_0(all_102_1) = v0 & $i(v0) & ! % 212.03/29.33 | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 212.03/29.33 | | | | | | | r1_orders_2(all_102_1, v1, v2) | ~ % 212.03/29.33 | | | | | | | r1_latsum_1(all_64_10, all_64_7) | ~ m1_subset_1(v2, % 212.03/29.33 | | | | | | | v0) | ~ m1_subset_1(v2, all_64_9) | ~ % 212.03/29.33 | | | | | | | m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_64_9) | % 212.03/29.33 | | | | | | | ~ v3_orders_2(all_64_10) | r1_orders_2(all_64_10, v1, % 212.03/29.33 | | | | | | | v2)) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ % 212.03/29.33 | | | | | | | $i(v1) | ~ r1_orders_2(all_64_10, v1, v2) | ~ % 212.03/29.33 | | | | | | | r1_latsum_1(all_64_10, all_64_7) | ~ m1_subset_1(v2, % 212.03/29.33 | | | | | | | v0) | ~ m1_subset_1(v2, all_64_9) | ~ % 212.03/29.33 | | | | | | | m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_64_9) | % 212.03/29.33 | | | | | | | ~ v3_orders_2(all_64_10) | r1_orders_2(all_102_1, v1, % 212.03/29.33 | | | | | | | v2))) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | GROUND_INST: instantiating (3) with all_64_10, all_64_7, % 212.03/29.33 | | | | | | | all_102_1, simplifying with (27), (28), (39), (41), % 212.03/29.33 | | | | | | | (115) gives: % 212.03/29.33 | | | | | | | (191) l1_orders_2(all_102_1) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | DELTA: instantiating (189) with fresh symbol all_139_0 gives: % 212.03/29.33 | | | | | | | (192) u1_struct_0(all_102_1) = all_139_0 & $i(all_139_0) & ! % 212.03/29.33 | | | | | | | [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_64_9) | % 212.03/29.33 | | | | | | | m1_subset_1(v0, all_139_0)) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | ALPHA: (192) implies: % 212.03/29.33 | | | | | | | (193) $i(all_139_0) % 212.03/29.33 | | | | | | | (194) u1_struct_0(all_102_1) = all_139_0 % 212.03/29.33 | | | | | | | (195) ! [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_64_9) | % 212.03/29.33 | | | | | | | m1_subset_1(v0, all_139_0)) % 212.03/29.33 | | | | | | | % 212.03/29.33 | | | | | | | DELTA: instantiating (183) with fresh symbols all_142_0, all_142_1 % 212.03/29.33 | | | | | | | gives: % 212.03/29.34 | | | | | | | (196) k1_zfmisc_1(all_64_6) = all_142_1 & $i(all_142_0) & % 212.03/29.34 | | | | | | | $i(all_142_1) & m1_subset_1(all_142_0, all_142_1) & ~ % 212.03/29.34 | | | | | | | v1_xboole_0(all_142_0) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | ALPHA: (196) implies: % 212.03/29.34 | | | | | | | (197) $i(all_142_1) % 212.03/29.34 | | | | | | | (198) k1_zfmisc_1(all_64_6) = all_142_1 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | DELTA: instantiating (182) with fresh symbols all_144_0, all_144_1 % 212.03/29.34 | | | | | | | gives: % 212.03/29.34 | | | | | | | (199) k1_zfmisc_1(all_64_9) = all_144_1 & $i(all_144_0) & % 212.03/29.34 | | | | | | | $i(all_144_1) & m1_subset_1(all_144_0, all_144_1) & ~ % 212.03/29.34 | | | | | | | v1_xboole_0(all_144_0) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | ALPHA: (199) implies: % 212.03/29.34 | | | | | | | (200) k1_zfmisc_1(all_64_9) = all_144_1 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | DELTA: instantiating (188) with fresh symbols all_146_0, all_146_1 % 212.03/29.34 | | | | | | | gives: % 212.03/29.34 | | | | | | | (201) k1_latsum_1(all_64_7, all_64_10) = all_146_1 & % 212.03/29.34 | | | | | | | u1_struct_0(all_146_1) = all_146_0 & $i(all_146_0) & % 212.03/29.34 | | | | | | | $i(all_146_1) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | % 212.03/29.34 | | | | | | | ~ $i(v0) | ~ r1_orders_2(all_146_1, v0, v1) | ~ % 212.03/29.34 | | | | | | | r2_hidden(v0, all_64_9) | ~ v13_waybel_0(all_64_5, % 212.03/29.34 | | | | | | | all_64_7) | ~ m1_subset_1(v1, all_146_0) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v0, all_146_0) | ~ m1_subset_1(all_64_5, % 212.03/29.34 | | | | | | | all_99_0) | r2_hidden(v1, all_64_9)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | ALPHA: (201) implies: % 212.03/29.34 | | | | | | | (202) $i(all_146_1) % 212.03/29.34 | | | | | | | (203) u1_struct_0(all_146_1) = all_146_0 % 212.03/29.34 | | | | | | | (204) k1_latsum_1(all_64_7, all_64_10) = all_146_1 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | DELTA: instantiating (190) with fresh symbol all_149_0 gives: % 212.03/29.34 | | | | | | | (205) u1_struct_0(all_102_1) = all_149_0 & $i(all_149_0) & ! % 212.03/29.34 | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.34 | | | | | | | r1_orders_2(all_102_1, v0, v1) | ~ % 212.03/29.34 | | | | | | | r1_latsum_1(all_64_10, all_64_7) | ~ m1_subset_1(v1, % 212.03/29.34 | | | | | | | all_149_0) | ~ m1_subset_1(v1, all_64_9) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v0, all_149_0) | ~ m1_subset_1(v0, % 212.03/29.34 | | | | | | | all_64_9) | ~ v3_orders_2(all_64_10) | % 212.03/29.34 | | | | | | | r1_orders_2(all_64_10, v0, v1)) & ! [v0: $i] : ! [v1: % 212.03/29.34 | | | | | | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.34 | | | | | | | r1_orders_2(all_64_10, v0, v1) | ~ % 212.03/29.34 | | | | | | | r1_latsum_1(all_64_10, all_64_7) | ~ m1_subset_1(v1, % 212.03/29.34 | | | | | | | all_149_0) | ~ m1_subset_1(v1, all_64_9) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v0, all_149_0) | ~ m1_subset_1(v0, % 212.03/29.34 | | | | | | | all_64_9) | ~ v3_orders_2(all_64_10) | % 212.03/29.34 | | | | | | | r1_orders_2(all_102_1, v0, v1)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | ALPHA: (205) implies: % 212.03/29.34 | | | | | | | (206) u1_struct_0(all_102_1) = all_149_0 % 212.03/29.34 | | | | | | | (207) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.34 | | | | | | | r1_orders_2(all_64_10, v0, v1) | ~ % 212.03/29.34 | | | | | | | r1_latsum_1(all_64_10, all_64_7) | ~ m1_subset_1(v1, % 212.03/29.34 | | | | | | | all_149_0) | ~ m1_subset_1(v1, all_64_9) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v0, all_149_0) | ~ m1_subset_1(v0, % 212.03/29.34 | | | | | | | all_64_9) | ~ v3_orders_2(all_64_10) | % 212.03/29.34 | | | | | | | r1_orders_2(all_102_1, v0, v1)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (12) with all_102_0, all_149_0, % 212.03/29.34 | | | | | | | all_102_1, simplifying with (114), (206) gives: % 212.03/29.34 | | | | | | | (208) all_149_0 = all_102_0 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (12) with all_139_0, all_149_0, % 212.03/29.34 | | | | | | | all_102_1, simplifying with (194), (206) gives: % 212.03/29.34 | | | | | | | (209) all_149_0 = all_139_0 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (13) with all_64_8, all_144_1, % 212.03/29.34 | | | | | | | all_64_9, simplifying with (47), (200) gives: % 212.03/29.34 | | | | | | | (210) all_144_1 = all_64_8 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (13) with all_64_4, all_142_1, % 212.03/29.34 | | | | | | | all_64_6, simplifying with (48), (198) gives: % 212.03/29.34 | | | | | | | (211) all_142_1 = all_64_4 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | COMBINE_EQS: (208), (209) imply: % 212.03/29.34 | | | | | | | (212) all_139_0 = all_102_0 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | REDUCE: (193), (212) imply: % 212.03/29.34 | | | | | | | (213) $i(all_102_0) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (rc8_waybel_0) with all_102_1, % 212.03/29.34 | | | | | | | all_102_0, simplifying with (113), (114), (191) % 212.03/29.34 | | | | | | | gives: % 212.03/29.34 | | | | | | | (214) v3_struct_0(all_102_1) | ? [v0: $i] : ? [v1: $i] : % 212.03/29.34 | | | | | | | (k1_zfmisc_1(all_102_0) = v0 & $i(v1) & $i(v0) & % 212.03/29.34 | | | | | | | v13_waybel_0(v1, all_102_1) & v12_waybel_0(v1, % 212.03/29.34 | | | | | | | all_102_1) & m1_subset_1(v1, v0) & ~ % 212.03/29.34 | | | | | | | v1_xboole_0(v1)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (rc7_waybel_0) with all_102_1, % 212.03/29.34 | | | | | | | all_102_0, simplifying with (113), (114), (191) % 212.03/29.34 | | | | | | | gives: % 212.03/29.34 | | | | | | | (215) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_102_0) = v0 % 212.03/29.34 | | | | | | | & $i(v1) & $i(v0) & v13_waybel_0(v1, all_102_1) & % 212.03/29.34 | | | | | | | v12_waybel_0(v1, all_102_1) & m1_subset_1(v1, v0)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (t18_latsum_1) with all_102_1, % 212.03/29.34 | | | | | | | all_102_0, simplifying with (113), (114), (191) % 212.03/29.34 | | | | | | | gives: % 212.03/29.34 | | | | | | | (216) ? [v0: $i] : (k1_zfmisc_1(all_102_0) = v0 & $i(v0) & ! % 212.03/29.34 | | | | | | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 212.03/29.34 | | | | | | | (k3_xboole_0(all_102_0, v2) = v3) | ~ % 212.03/29.34 | | | | | | | (u1_struct_0(v1) = v2) | ~ $i(v1) | ~ % 212.03/29.34 | | | | | | | l1_orders_2(v1) | ? [v4: $i] : ? [v5: $i] : % 212.03/29.34 | | | | | | | (k1_latsum_1(all_102_1, v1) = v4 & u1_struct_0(v4) = % 212.03/29.34 | | | | | | | v5 & $i(v5) & $i(v4) & ! [v6: $i] : ! [v7: $i] : % 212.03/29.34 | | | | | | | ( ~ $i(v7) | ~ $i(v6) | ~ r1_orders_2(v4, v6, v7) % 212.03/29.34 | | | | | | | | ~ r2_hidden(v6, v2) | ~ v13_waybel_0(v3, % 212.03/29.34 | | | | | | | all_102_1) | ~ m1_subset_1(v7, v5) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v6, v5) | ~ m1_subset_1(v3, v0) | % 212.03/29.34 | | | | | | | r2_hidden(v7, v2))))) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (dt_l1_orders_2) with all_102_1, % 212.03/29.34 | | | | | | | simplifying with (113), (191) gives: % 212.03/29.34 | | | | | | | (217) l1_struct_0(all_102_1) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (t10_latsum_1) with all_64_7, all_64_6, % 212.03/29.34 | | | | | | | all_64_10, all_146_1, simplifying with (17), (18), % 212.03/29.34 | | | | | | | (19), (20), (21), (22), (23), (24), (25), (26), (27), % 212.03/29.34 | | | | | | | (28), (39), (41), (46), (204) gives: % 212.03/29.34 | | | | | | | (218) ? [v0: $i] : (u1_struct_0(all_146_1) = v0 & $i(v0) & ! % 212.03/29.34 | | | | | | | [v1: $i] : ( ~ $i(v1) | ~ r2_hidden(v1, all_64_6) | % 212.03/29.34 | | | | | | | m1_subset_1(v1, v0))) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (t8_latsum_1) with all_64_7, all_64_6, % 212.03/29.34 | | | | | | | all_64_10, all_146_1, simplifying with (17), (18), % 212.03/29.34 | | | | | | | (27), (28), (39), (41), (46), (204) gives: % 212.03/29.34 | | | | | | | (219) ? [v0: $i] : (u1_struct_0(all_146_1) = v0 & $i(v0) & ! % 212.03/29.34 | | | | | | | [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 212.03/29.34 | | | | | | | r1_orders_2(all_146_1, v1, v2) | ~ % 212.03/29.34 | | | | | | | r1_latsum_1(all_64_7, all_64_10) | ~ m1_subset_1(v2, % 212.03/29.34 | | | | | | | v0) | ~ m1_subset_1(v2, all_64_6) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_64_6) | % 212.03/29.34 | | | | | | | ~ v3_orders_2(all_64_7) | r1_orders_2(all_64_7, v1, % 212.03/29.34 | | | | | | | v2)) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ % 212.03/29.34 | | | | | | | $i(v1) | ~ r1_orders_2(all_64_7, v1, v2) | ~ % 212.03/29.34 | | | | | | | r1_latsum_1(all_64_7, all_64_10) | ~ m1_subset_1(v2, % 212.03/29.34 | | | | | | | v0) | ~ m1_subset_1(v2, all_64_6) | ~ % 212.03/29.34 | | | | | | | m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_64_6) | % 212.03/29.34 | | | | | | | ~ v3_orders_2(all_64_7) | r1_orders_2(all_146_1, v1, % 212.03/29.34 | | | | | | | v2))) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | GROUND_INST: instantiating (3) with all_64_7, all_64_10, % 212.03/29.34 | | | | | | | all_146_1, simplifying with (27), (28), (39), (41), % 212.03/29.34 | | | | | | | (204) gives: % 212.03/29.34 | | | | | | | (220) l1_orders_2(all_146_1) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | DELTA: instantiating (218) with fresh symbol all_162_0 gives: % 212.03/29.34 | | | | | | | (221) u1_struct_0(all_146_1) = all_162_0 & $i(all_162_0) & ! % 212.03/29.34 | | | | | | | [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_64_6) | % 212.03/29.34 | | | | | | | m1_subset_1(v0, all_162_0)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | ALPHA: (221) implies: % 212.03/29.34 | | | | | | | (222) $i(all_162_0) % 212.03/29.34 | | | | | | | (223) u1_struct_0(all_146_1) = all_162_0 % 212.03/29.34 | | | | | | | (224) ! [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_64_6) | % 212.03/29.34 | | | | | | | m1_subset_1(v0, all_162_0)) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | DELTA: instantiating (215) with fresh symbols all_165_0, all_165_1 % 212.03/29.34 | | | | | | | gives: % 212.03/29.34 | | | | | | | (225) k1_zfmisc_1(all_102_0) = all_165_1 & $i(all_165_0) & % 212.03/29.34 | | | | | | | $i(all_165_1) & v13_waybel_0(all_165_0, all_102_1) & % 212.03/29.34 | | | | | | | v12_waybel_0(all_165_0, all_102_1) & % 212.03/29.34 | | | | | | | m1_subset_1(all_165_0, all_165_1) % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | ALPHA: (225) implies: % 212.03/29.34 | | | | | | | (226) k1_zfmisc_1(all_102_0) = all_165_1 % 212.03/29.34 | | | | | | | % 212.03/29.34 | | | | | | | DELTA: instantiating (216) with fresh symbol all_167_0 gives: % 212.03/29.35 | | | | | | | (227) k1_zfmisc_1(all_102_0) = all_167_0 & $i(all_167_0) & ! % 212.03/29.35 | | | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 212.03/29.35 | | | | | | | (k3_xboole_0(all_102_0, v1) = v2) | ~ (u1_struct_0(v0) % 212.03/29.35 | | | | | | | = v1) | ~ $i(v0) | ~ l1_orders_2(v0) | ? [v3: $i] % 212.03/29.35 | | | | | | | : ? [v4: $i] : (k1_latsum_1(all_102_1, v0) = v3 & % 212.03/29.35 | | | | | | | u1_struct_0(v3) = v4 & $i(v4) & $i(v3) & ! [v5: $i] % 212.03/29.35 | | | | | | | : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ % 212.03/29.35 | | | | | | | r1_orders_2(v3, v5, v6) | ~ r2_hidden(v5, v1) | ~ % 212.03/29.35 | | | | | | | v13_waybel_0(v2, all_102_1) | ~ m1_subset_1(v6, % 212.03/29.35 | | | | | | | v4) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v2, % 212.03/29.35 | | | | | | | all_167_0) | r2_hidden(v6, v1)))) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | ALPHA: (227) implies: % 212.03/29.35 | | | | | | | (228) k1_zfmisc_1(all_102_0) = all_167_0 % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | DELTA: instantiating (219) with fresh symbol all_170_0 gives: % 212.03/29.35 | | | | | | | (229) u1_struct_0(all_146_1) = all_170_0 & $i(all_170_0) & ! % 212.03/29.35 | | | | | | | [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.03/29.35 | | | | | | | r1_orders_2(all_146_1, v0, v1) | ~ % 212.03/29.35 | | | | | | | r1_latsum_1(all_64_7, all_64_10) | ~ m1_subset_1(v1, % 212.03/29.35 | | | | | | | all_170_0) | ~ m1_subset_1(v1, all_64_6) | ~ % 212.03/29.35 | | | | | | | m1_subset_1(v0, all_170_0) | ~ m1_subset_1(v0, % 212.03/29.35 | | | | | | | all_64_6) | ~ v3_orders_2(all_64_7) | % 212.03/29.35 | | | | | | | r1_orders_2(all_64_7, v0, v1)) & ! [v0: $i] : ! [v1: % 212.03/29.35 | | | | | | | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r1_orders_2(all_64_7, % 212.03/29.35 | | | | | | | v0, v1) | ~ r1_latsum_1(all_64_7, all_64_10) | ~ % 212.03/29.35 | | | | | | | m1_subset_1(v1, all_170_0) | ~ m1_subset_1(v1, % 212.03/29.35 | | | | | | | all_64_6) | ~ m1_subset_1(v0, all_170_0) | ~ % 212.03/29.35 | | | | | | | m1_subset_1(v0, all_64_6) | ~ v3_orders_2(all_64_7) | % 212.03/29.35 | | | | | | | r1_orders_2(all_146_1, v0, v1)) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | ALPHA: (229) implies: % 212.03/29.35 | | | | | | | (230) u1_struct_0(all_146_1) = all_170_0 % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (12) with all_146_0, all_170_0, % 212.03/29.35 | | | | | | | all_146_1, simplifying with (203), (230) gives: % 212.03/29.35 | | | | | | | (231) all_170_0 = all_146_0 % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (12) with all_162_0, all_170_0, % 212.03/29.35 | | | | | | | all_146_1, simplifying with (223), (230) gives: % 212.03/29.35 | | | | | | | (232) all_170_0 = all_162_0 % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (13) with all_165_1, all_167_0, % 212.03/29.35 | | | | | | | all_102_0, simplifying with (226), (228) gives: % 212.03/29.35 | | | | | | | (233) all_167_0 = all_165_1 % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | COMBINE_EQS: (231), (232) imply: % 212.03/29.35 | | | | | | | (234) all_162_0 = all_146_0 % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | REDUCE: (222), (234) imply: % 212.03/29.35 | | | | | | | (235) $i(all_146_0) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (rc8_waybel_0) with all_146_1, % 212.03/29.35 | | | | | | | all_146_0, simplifying with (202), (203), (220) % 212.03/29.35 | | | | | | | gives: % 212.03/29.35 | | | | | | | (236) v3_struct_0(all_146_1) | ? [v0: $i] : ? [v1: $i] : % 212.03/29.35 | | | | | | | (k1_zfmisc_1(all_146_0) = v0 & $i(v1) & $i(v0) & % 212.03/29.35 | | | | | | | v13_waybel_0(v1, all_146_1) & v12_waybel_0(v1, % 212.03/29.35 | | | | | | | all_146_1) & m1_subset_1(v1, v0) & ~ % 212.03/29.35 | | | | | | | v1_xboole_0(v1)) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (rc7_waybel_0) with all_146_1, % 212.03/29.35 | | | | | | | all_146_0, simplifying with (202), (203), (220) % 212.03/29.35 | | | | | | | gives: % 212.03/29.35 | | | | | | | (237) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_146_0) = v0 % 212.03/29.35 | | | | | | | & $i(v1) & $i(v0) & v13_waybel_0(v1, all_146_1) & % 212.03/29.35 | | | | | | | v12_waybel_0(v1, all_146_1) & m1_subset_1(v1, v0)) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (dt_l1_orders_2) with all_146_1, % 212.03/29.35 | | | | | | | simplifying with (202), (220) gives: % 212.03/29.35 | | | | | | | (238) l1_struct_0(all_146_1) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | GROUND_INST: instantiating (rc5_struct_0) with all_102_1, % 212.03/29.35 | | | | | | | all_102_0, simplifying with (113), (114), (217) % 212.03/29.35 | | | | | | | gives: % 212.03/29.35 | | | | | | | (239) v3_struct_0(all_102_1) | ? [v0: $i] : ? [v1: $i] : % 212.03/29.35 | | | | | | | (k1_zfmisc_1(all_102_0) = v0 & $i(v1) & $i(v0) & % 212.03/29.35 | | | | | | | m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | DELTA: instantiating (237) with fresh symbols all_209_0, all_209_1 % 212.03/29.35 | | | | | | | gives: % 212.03/29.35 | | | | | | | (240) k1_zfmisc_1(all_146_0) = all_209_1 & $i(all_209_0) & % 212.03/29.35 | | | | | | | $i(all_209_1) & v13_waybel_0(all_209_0, all_146_1) & % 212.03/29.35 | | | | | | | v12_waybel_0(all_209_0, all_146_1) & % 212.03/29.35 | | | | | | | m1_subset_1(all_209_0, all_209_1) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | ALPHA: (240) implies: % 212.03/29.35 | | | | | | | (241) $i(all_209_0) % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | BETA: splitting (54) gives: % 212.03/29.35 | | | | | | | % 212.03/29.35 | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | | (242) v1_xboole_0(all_64_9) % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_64_10, % 212.03/29.35 | | | | | | | | all_64_9, simplifying with (17), (39), (45), (52), % 212.03/29.35 | | | | | | | | (242) gives: % 212.03/29.35 | | | | | | | | (243) $false % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | | CLOSE: (243) is inconsistent. % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | | (244) r2_hidden(all_64_3, all_64_9) % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | | BETA: splitting (56) gives: % 212.03/29.35 | | | | | | | | % 212.03/29.35 | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | | (245) v1_xboole_0(all_64_9) % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_64_10, % 212.03/29.35 | | | | | | | | | all_64_9, simplifying with (17), (39), (45), (52), % 212.03/29.35 | | | | | | | | | (245) gives: % 212.03/29.35 | | | | | | | | | (246) $false % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | | CLOSE: (246) is inconsistent. % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | | (247) r2_hidden(all_64_2, all_64_9) % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | | BETA: splitting (179) gives: % 212.03/29.35 | | | | | | | | | % 212.03/29.35 | | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | (248) v1_xboole_0(all_64_9) % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_64_10, % 212.03/29.35 | | | | | | | | | | all_64_9, simplifying with (17), (39), (45), (52), % 212.03/29.35 | | | | | | | | | | (248) gives: % 212.03/29.35 | | | | | | | | | | (249) $false % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | CLOSE: (249) is inconsistent. % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | (250) ~ v1_xboole_0(all_64_9) % 212.03/29.35 | | | | | | | | | | (251) r2_hidden(all_64_1, all_64_9) % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | BETA: splitting (57) gives: % 212.03/29.35 | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | (252) v1_xboole_0(all_64_6) % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_64_7, % 212.03/29.35 | | | | | | | | | | | all_64_6, simplifying with (18), (41), (46), (53), % 212.03/29.35 | | | | | | | | | | | (252) gives: % 212.03/29.35 | | | | | | | | | | | (253) $false % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | CLOSE: (253) is inconsistent. % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | (254) r2_hidden(all_64_2, all_64_6) % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | BETA: splitting (55) gives: % 212.03/29.35 | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | (255) v1_xboole_0(all_64_6) % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_64_7, % 212.03/29.35 | | | | | | | | | | | | all_64_6, simplifying with (18), (41), (46), (53), % 212.03/29.35 | | | | | | | | | | | | (255) gives: % 212.03/29.35 | | | | | | | | | | | | (256) $false % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | CLOSE: (256) is inconsistent. % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | (257) r2_hidden(all_64_3, all_64_6) % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | BETA: splitting (180) gives: % 212.03/29.35 | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | (258) v1_xboole_0(all_64_6) % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_64_7, % 212.03/29.35 | | | | | | | | | | | | | all_64_6, simplifying with (18), (41), (46), (53), % 212.03/29.35 | | | | | | | | | | | | | (258) gives: % 212.03/29.35 | | | | | | | | | | | | | (259) $false % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | CLOSE: (259) is inconsistent. % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | (260) r2_hidden(all_64_0, all_64_6) % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | BETA: splitting (181) gives: % 212.03/29.35 | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | (261) v1_xboole_0(all_64_4) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (195) with all_64_3, simplifying % 212.03/29.35 | | | | | | | | | | | | | | with (43), (244) gives: % 212.03/29.35 | | | | | | | | | | | | | | (262) m1_subset_1(all_64_3, all_139_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_64_9, all_64_6, % 212.03/29.35 | | | | | | | | | | | | | | all_64_5, all_64_3, simplifying with (40), (42), % 212.03/29.35 | | | | | | | | | | | | | | (43), (51), (73), (244), (257) gives: % 212.03/29.35 | | | | | | | | | | | | | | (263) r2_hidden(all_64_3, all_64_5) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (195) with all_64_2, simplifying % 212.03/29.35 | | | | | | | | | | | | | | with (44), (247) gives: % 212.03/29.35 | | | | | | | | | | | | | | (264) m1_subset_1(all_64_2, all_139_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_64_9, all_64_6, % 212.03/29.35 | | | | | | | | | | | | | | all_64_5, all_64_2, simplifying with (40), (42), % 212.03/29.35 | | | | | | | | | | | | | | (44), (51), (73), (247), (254) gives: % 212.03/29.35 | | | | | | | | | | | | | | (265) r2_hidden(all_64_2, all_64_5) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (195) with all_64_1, simplifying % 212.03/29.35 | | | | | | | | | | | | | | with (174), (251) gives: % 212.03/29.35 | | | | | | | | | | | | | | (266) m1_subset_1(all_64_1, all_139_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_64_4, simplifying with % 212.03/29.35 | | | | | | | | | | | | | | (149), (261) gives: % 212.03/29.35 | | | | | | | | | | | | | | (267) all_64_4 = k1_xboole_0 % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | COMBINE_EQS: (147), (267) imply: % 212.03/29.35 | | | | | | | | | | | | | | (268) all_93_0 = k1_xboole_0 % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | REDUCE: (212), (266) imply: % 212.03/29.35 | | | | | | | | | | | | | | (269) m1_subset_1(all_64_1, all_102_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | REDUCE: (212), (264) imply: % 212.03/29.35 | | | | | | | | | | | | | | (270) m1_subset_1(all_64_2, all_102_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | REDUCE: (212), (262) imply: % 212.03/29.35 | | | | | | | | | | | | | | (271) m1_subset_1(all_64_3, all_102_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | REDUCE: (30), (267) imply: % 212.03/29.35 | | | | | | | | | | | | | | (272) m1_subset_1(all_64_5, k1_xboole_0) % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | BETA: splitting (214) gives: % 212.03/29.35 | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | Case 1: % 212.03/29.35 | | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | | (273) v3_struct_0(all_102_1) % 212.03/29.35 | | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_64_10, all_64_7, % 212.03/29.35 | | | | | | | | | | | | | | | all_102_1, simplifying with (17), (27), (28), % 212.03/29.35 | | | | | | | | | | | | | | | (39), (41), (115), (273) gives: % 212.03/29.35 | | | | | | | | | | | | | | | (274) $false % 212.03/29.35 | | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | | CLOSE: (274) is inconsistent. % 212.03/29.35 | | | | | | | | | | | | | | | % 212.03/29.35 | | | | | | | | | | | | | | Case 2: % 212.03/29.35 | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | (275) ? [v0: $i] : ? [v1: $i] : % 212.03/29.36 | | | | | | | | | | | | | | | (k1_zfmisc_1(all_102_0) = v0 & $i(v1) & $i(v0) & % 212.03/29.36 | | | | | | | | | | | | | | | v13_waybel_0(v1, all_102_1) & v12_waybel_0(v1, % 212.03/29.36 | | | | | | | | | | | | | | | all_102_1) & m1_subset_1(v1, v0) & ~ % 212.03/29.36 | | | | | | | | | | | | | | | v1_xboole_0(v1)) % 212.03/29.36 | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | DELTA: instantiating (275) with fresh symbols all_292_0, % 212.03/29.36 | | | | | | | | | | | | | | | all_292_1 gives: % 212.03/29.36 | | | | | | | | | | | | | | | (276) k1_zfmisc_1(all_102_0) = all_292_1 & $i(all_292_0) % 212.03/29.36 | | | | | | | | | | | | | | | & $i(all_292_1) & v13_waybel_0(all_292_0, % 212.03/29.36 | | | | | | | | | | | | | | | all_102_1) & v12_waybel_0(all_292_0, all_102_1) % 212.03/29.36 | | | | | | | | | | | | | | | & m1_subset_1(all_292_0, all_292_1) & ~ % 212.03/29.36 | | | | | | | | | | | | | | | v1_xboole_0(all_292_0) % 212.03/29.36 | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | ALPHA: (276) implies: % 212.03/29.36 | | | | | | | | | | | | | | | (277) $i(all_292_1) % 212.03/29.36 | | | | | | | | | | | | | | | (278) $i(all_292_0) % 212.03/29.36 | | | | | | | | | | | | | | | (279) k1_zfmisc_1(all_102_0) = all_292_1 % 212.03/29.36 | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 212.03/29.36 | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | (280) v3_struct_0(all_102_1) % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_64_10, all_64_7, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_1, simplifying with (17), (27), (28), % 212.03/29.36 | | | | | | | | | | | | | | | | (39), (41), (115), (280) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | (281) $false % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | (282) ~ v3_struct_0(all_102_1) % 212.03/29.36 | | | | | | | | | | | | | | | | (283) ? [v0: $i] : ? [v1: $i] : % 212.03/29.36 | | | | | | | | | | | | | | | | (k1_zfmisc_1(all_102_0) = v0 & $i(v1) & $i(v0) & % 212.03/29.36 | | | | | | | | | | | | | | | | m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | DELTA: instantiating (283) with fresh symbols all_298_0, % 212.03/29.36 | | | | | | | | | | | | | | | | all_298_1 gives: % 212.03/29.36 | | | | | | | | | | | | | | | | (284) k1_zfmisc_1(all_102_0) = all_298_1 & $i(all_298_0) % 212.03/29.36 | | | | | | | | | | | | | | | | & $i(all_298_1) & m1_subset_1(all_298_0, % 212.03/29.36 | | | | | | | | | | | | | | | | all_298_1) & ~ v1_xboole_0(all_298_0) % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | ALPHA: (284) implies: % 212.03/29.36 | | | | | | | | | | | | | | | | (285) $i(all_298_0) % 212.03/29.36 | | | | | | | | | | | | | | | | (286) k1_zfmisc_1(all_102_0) = all_298_1 % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_165_1, all_298_1, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_0, simplifying with (226), (286) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | (287) all_298_1 = all_165_1 % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_292_1, all_298_1, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_0, simplifying with (279), (286) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | (288) all_298_1 = all_292_1 % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (288) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | (289) all_292_1 = all_165_1 % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | REDUCE: (277), (289) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | (290) $i(all_165_1) % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_64_2, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_0, simplifying with (44), (213), (270) % 212.03/29.36 | | | | | | | | | | | | | | | | gives: % 212.03/29.36 | | | | | | | | | | | | | | | | (291) v1_xboole_0(all_102_0) | r2_hidden(all_64_2, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_64_1, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_0, simplifying with (174), (213), (269) % 212.03/29.36 | | | | | | | | | | | | | | | | gives: % 212.03/29.36 | | | | | | | | | | | | | | | | (292) v1_xboole_0(all_102_0) | r2_hidden(all_64_1, % 212.03/29.36 | | | | | | | | | | | | | | | | all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | BETA: splitting (292) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | (293) v1_xboole_0(all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_102_1, % 212.03/29.36 | | | | | | | | | | | | | | | | | all_102_0, simplifying with (113), (114), (217), % 212.03/29.36 | | | | | | | | | | | | | | | | | (282), (293) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | (294) $false % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | CLOSE: (294) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | (295) ~ v1_xboole_0(all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | BETA: splitting (291) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | (296) v1_xboole_0(all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (295), (296) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (297) $false % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | CLOSE: (297) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | DELTA: instantiating (108) with fresh symbols all_441_0, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_441_1 gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (298) k1_latsum_1(all_64_10, all_64_7) = all_441_1 & % 212.03/29.36 | | | | | | | | | | | | | | | | | | u1_struct_0(all_441_1) = all_441_0 & $i(all_441_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | & $i(all_441_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ~ r1_orders_2(all_441_1, % 212.03/29.36 | | | | | | | | | | | | | | | | | | v0, v1) | ~ r2_hidden(v0, all_64_6) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | v13_waybel_0(all_64_5, all_64_10) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | m1_subset_1(v1, all_441_0) | ~ m1_subset_1(v0, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_441_0) | ~ m1_subset_1(all_64_5, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_96_0) | r2_hidden(v1, all_64_6)) % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | ALPHA: (298) implies: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (299) $i(all_441_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | (300) u1_struct_0(all_441_1) = all_441_0 % 212.03/29.36 | | | | | | | | | | | | | | | | | | (301) k1_latsum_1(all_64_10, all_64_7) = all_441_1 % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_102_1, all_441_1, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_64_7, all_64_10, simplifying with (115), (301) % 212.03/29.36 | | | | | | | | | | | | | | | | | | gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (302) all_441_1 = all_102_1 % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | REDUCE: (300), (302) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (303) u1_struct_0(all_102_1) = all_441_0 % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_102_0, all_441_0, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_102_1, simplifying with (114), (303) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (304) all_441_0 = all_102_0 % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (207) with all_64_2, all_64_1, % 212.03/29.36 | | | | | | | | | | | | | | | | | | simplifying with (21), (33), (38), (44), (166), % 212.03/29.36 | | | | | | | | | | | | | | | | | | (174), (185) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (305) ~ m1_subset_1(all_64_1, all_149_0) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | m1_subset_1(all_64_2, all_149_0) | % 212.03/29.36 | | | | | | | | | | | | | | | | | | r1_orders_2(all_102_1, all_64_2, all_64_1) % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t4_subset) with all_298_0, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_64_0, all_102_0, all_64_0, simplifying with % 212.03/29.36 | | | | | | | | | | | | | | | | | | (177), (213), (285) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (306) ~ (k1_zfmisc_1(all_102_0) = all_64_0) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | r2_hidden(all_298_0, all_64_0) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | m1_subset_1(all_64_0, all_64_0) | % 212.03/29.36 | | | | | | | | | | | | | | | | | | m1_subset_1(all_298_0, all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t4_subset) with all_292_0, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_64_0, all_102_0, all_64_0, simplifying with % 212.03/29.36 | | | | | | | | | | | | | | | | | | (177), (213), (278) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (307) ~ (k1_zfmisc_1(all_102_0) = all_64_0) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | r2_hidden(all_292_0, all_64_0) | ~ % 212.03/29.36 | | | | | | | | | | | | | | | | | | m1_subset_1(all_64_0, all_64_0) | % 212.03/29.36 | | | | | | | | | | | | | | | | | | m1_subset_1(all_292_0, all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (104) with all_64_5, all_64_2, % 212.03/29.36 | | | | | | | | | | | | | | | | | | all_64_3, all_64_0, simplifying with (32), (34), % 212.03/29.36 | | | | | | | | | | | | | | | | | | (35), (36), (43), (44), (73), (178), (263), (265) % 212.03/29.36 | | | | | | | | | | | | | | | | | | gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | (308) ~ m1_subset_1(all_64_5, all_93_0) | % 212.03/29.36 | | | | | | | | | | | | | | | | | | r2_hidden(all_64_0, all_64_5) % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | (309) ~ m1_subset_1(all_64_1, all_149_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (309) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | (310) ~ m1_subset_1(all_64_1, all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (269), (310) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | (311) $false % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | (312) m1_subset_1(all_64_1, all_149_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | (313) ~ m1_subset_1(all_64_2, all_149_0) | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | r1_orders_2(all_102_1, all_64_2, all_64_1) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | (314) ~ m1_subset_1(all_64_2, all_149_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (314) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | (315) ~ m1_subset_1(all_64_2, all_102_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (270), (315) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | (316) $false % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | CLOSE: (316) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | (317) m1_subset_1(all_64_2, all_149_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | (318) r1_orders_2(all_102_1, all_64_2, all_64_1) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (319) ~ m1_subset_1(all_64_5, all_93_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (319) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (320) ~ m1_subset_1(all_64_5, k1_xboole_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (272), (320) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (321) $false % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | CLOSE: (321) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (322) r2_hidden(all_64_0, all_64_5) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_64_9, all_64_6, % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | all_64_5, all_64_0, simplifying with (40), (42), % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (51), (73), (177), (322) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (323) r2_hidden(all_64_0, all_64_9) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t4_subset) with all_64_0, all_64_5, % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | all_64_9, all_64_8, simplifying with (29), (40), % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (47), (73), (177), (322) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (324) m1_subset_1(all_64_0, all_64_9) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (116) with all_64_2, all_64_1, % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (44), (174), (254), (269), % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (270), (318) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | (325) ~ m1_subset_1(all_64_5, all_96_0) | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_64_1, all_64_6) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (326) ~ m1_subset_1(all_64_5, all_96_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (326) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (327) ~ m1_subset_1(all_64_5, all_64_8) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (29), (327) imply: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (328) $false % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (329) m1_subset_1(all_64_5, all_96_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (330) r2_hidden(all_64_1, all_64_6) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_64_10, all_64_9, % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_2, all_64_0, % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (28), (33), (34), (38), (39), (41), (44), (45), % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (46), (172), (177), (187), (324) gives: % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | (331) r1_orders_2(all_64_10, all_64_2, all_64_0) % 212.03/29.36 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_64_10, all_64_9, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_3, all_64_0, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (28), (31), (32), (38), (39), (41), (43), (45), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (46), (172), (177), (186), (324) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (332) r1_orders_2(all_64_10, all_64_3, all_64_0) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t1_subset) with all_64_1, all_64_6, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (174), (330) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (333) m1_subset_1(all_64_1, all_64_6) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (195) with all_64_0, simplifying % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | with (177), (323) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (334) m1_subset_1(all_64_0, all_139_0) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (334) imply: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (335) m1_subset_1(all_64_0, all_102_0) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_64_10, all_64_9, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_2, all_64_1, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (28), (33), (34), (38), (39), (41), (44), (45), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (46), (166), (174), (185), (333) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (336) r1_orders_2(all_64_7, all_64_2, all_64_1) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_64_10, all_64_9, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_3, all_64_1, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (28), (31), (32), (38), (39), (41), (43), (45), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (46), (166), (174), (184), (333) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (337) r1_orders_2(all_64_7, all_64_3, all_64_1) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (207) with all_64_3, all_64_0, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (31), (38), (43), (177), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (324), (332) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (338) ~ m1_subset_1(all_64_0, all_149_0) | ~ % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | m1_subset_1(all_64_3, all_149_0) | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_102_1, all_64_3, all_64_0) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_64_10, all_64_9, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_64_0, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (166), (174), (177), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (324), (331), (332) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (339) r1_orders_2(all_64_10, all_64_1, all_64_0) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_64_10, all_64_9, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_64_0, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (177), (324), (331), % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (332) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | (340) all_64_0 = all_64_1 | ? [v0: $i] : ($i(v0) & % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_2, v0) & % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_3, v0) & % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | m1_subset_1(v0, all_64_9) & ~ % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_0, v0)) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | (341) all_64_0 = all_64_1 % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (341) imply: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | (342) $false % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (342) is inconsistent. % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | (343) ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_10, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_64_2, v0) & r1_orders_2(all_64_10, % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_64_3, v0) & m1_subset_1(v0, all_64_9) & ~ % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_0, v0)) % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (343) with fresh symbol all_538_0 % 212.03/29.37 | | | | | | | | | | | | | | | | | | | | | | | gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | (344) $i(all_538_0) & r1_orders_2(all_64_10, all_64_2, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_538_0) & r1_orders_2(all_64_10, all_64_3, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | all_538_0) & m1_subset_1(all_538_0, all_64_9) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | ~ r1_orders_2(all_64_10, all_64_0, all_538_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (344) implies: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | (345) ~ r1_orders_2(all_64_10, all_64_0, all_538_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | (346) m1_subset_1(all_538_0, all_64_9) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | (347) r1_orders_2(all_64_10, all_64_3, all_538_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | (348) r1_orders_2(all_64_10, all_64_2, all_538_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | (349) $i(all_538_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (350) ~ m1_subset_1(all_64_0, all_149_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (350) imply: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (351) ~ m1_subset_1(all_64_0, all_102_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (335), (351) imply: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (352) $false % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (352) is inconsistent. % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | (353) ~ m1_subset_1(all_64_3, all_149_0) | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_102_1, all_64_3, all_64_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (354) ~ m1_subset_1(all_64_3, all_149_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (354) imply: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (355) ~ m1_subset_1(all_64_3, all_102_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (271), (355) imply: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (356) $false % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent. % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_538_0, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_64_9, simplifying with (40), (250), (346), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (349) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (357) r2_hidden(all_538_0, all_64_9) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_64_10, all_64_9, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_538_0, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (166), (174), (346), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (347), (348), (349) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (358) r1_orders_2(all_64_10, all_64_1, all_538_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_64_10, all_64_9, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_538_0, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (346), (347), (348), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (349) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (359) all_538_0 = all_64_1 | ? [v0: $i] : ($i(v0) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_2, v0) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_3, v0) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | m1_subset_1(v0, all_64_9) & ~ % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_538_0, v0)) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_64_10, all_64_9, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_1, all_64_0, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (28), (38), (39), (41), (45), (46), (166), (172), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (174), (177), (324), (333), (339) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (360) r1_orders_2(all_64_7, all_64_1, all_64_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_64_7, all_64_6, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_0, all_64_1, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (26), (28), (32), (34), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (41), (43), (44), (46), (50), (172), (174), (177), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (333), (336), (337) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (361) r1_orders_2(all_64_7, all_64_0, all_64_1) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_64_7, all_64_6, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_0, all_64_1, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (26), (28), (32), (34), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (41), (43), (44), (46), (50), (174), (333), (336), % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (337) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_64_0 = all_64_1 | ? [v0: $i] : ($i(v0) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_7, all_64_2, v0) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_7, all_64_3, v0) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | m1_subset_1(v0, all_64_6) & ~ % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_7, all_64_1, v0)) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_64_0 = all_64_1 % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (363) imply: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (364) $false % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (364) is inconsistent. % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (365) ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_7, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_64_2, v0) & r1_orders_2(all_64_7, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_64_3, v0) & m1_subset_1(v0, all_64_6) & ~ % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_7, all_64_1, v0)) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (365) with fresh symbol all_574_0 % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (366) $i(all_574_0) & r1_orders_2(all_64_7, all_64_2, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_574_0) & r1_orders_2(all_64_7, all_64_3, % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_574_0) & m1_subset_1(all_574_0, all_64_6) & % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ r1_orders_2(all_64_7, all_64_1, all_574_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (367) ~ r1_orders_2(all_64_7, all_64_1, all_574_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (368) m1_subset_1(all_574_0, all_64_6) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (369) r1_orders_2(all_64_7, all_64_3, all_574_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (370) r1_orders_2(all_64_7, all_64_2, all_574_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (371) $i(all_574_0) % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (17), (18), (21), (22), (23), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (24), (25), (26), (27), (28), (29), (31), (32), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (33), (34), (37), (38), (39), (40), (41), (42), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (45), (46), (49), (50), (116), (148), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (172), (174), (177), (195), (207), (208), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (250), (269), (324), (330), (333), (345), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (346), (347), (348), (349), (357), (358), (359), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (360), (361), (367), (368), (369), (370), (371), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (t1_subset), (t2_subset) are inconsistent by % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) k1_zfmisc_1(all_102_0) = all_64_0 % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_165_1, all_64_0, % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_102_0, simplifying with (226), (372) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_165_1 = all_64_0 % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) ~ (k1_zfmisc_1(all_102_0) = all_64_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (372), (374) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) $false % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (375) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (10), (17), (18), (21), (22), (23), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (24), (25), (26), (27), (28), (29), (31), (32), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (33), (34), (37), (38), (39), (40), (41), (42), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (45), (46), (49), (50), (116), (148), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (172), (174), (177), (195), (207), (208), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (250), (269), (324), (330), (333), (345), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346), (347), (348), (349), (357), (358), (359), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360), (361), (367), (368), (369), (370), (371), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (t1_subset), (t2_subset) are inconsistent by % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | End of split % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_64_9, all_64_6, % 212.44/29.38 | | | | | | | | | | | | | | all_64_5, all_64_3, simplifying with (40), (42), % 212.44/29.38 | | | | | | | | | | | | | | (43), (51), (73), (244), (257) gives: % 212.44/29.38 | | | | | | | | | | | | | | (376) r2_hidden(all_64_3, all_64_5) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (195) with all_64_2, simplifying % 212.44/29.38 | | | | | | | | | | | | | | with (44), (247) gives: % 212.44/29.38 | | | | | | | | | | | | | | (377) m1_subset_1(all_64_2, all_139_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_64_9, all_64_6, % 212.44/29.38 | | | | | | | | | | | | | | all_64_5, all_64_2, simplifying with (40), (42), % 212.44/29.38 | | | | | | | | | | | | | | (44), (51), (73), (247), (254) gives: % 212.44/29.38 | | | | | | | | | | | | | | (378) r2_hidden(all_64_2, all_64_5) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (195) with all_64_1, simplifying % 212.44/29.38 | | | | | | | | | | | | | | with (174), (251) gives: % 212.44/29.38 | | | | | | | | | | | | | | (379) m1_subset_1(all_64_1, all_139_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (224) with all_64_0, simplifying % 212.44/29.38 | | | | | | | | | | | | | | with (177), (260) gives: % 212.44/29.38 | | | | | | | | | | | | | | (380) m1_subset_1(all_64_0, all_162_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | REDUCE: (234), (380) imply: % 212.44/29.38 | | | | | | | | | | | | | | (381) m1_subset_1(all_64_0, all_146_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | REDUCE: (212), (379) imply: % 212.44/29.38 | | | | | | | | | | | | | | (382) m1_subset_1(all_64_1, all_102_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | REDUCE: (212), (377) imply: % 212.44/29.38 | | | | | | | | | | | | | | (383) m1_subset_1(all_64_2, all_102_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_64_0, % 212.44/29.38 | | | | | | | | | | | | | | all_146_0, simplifying with (177), (235), (381) % 212.44/29.38 | | | | | | | | | | | | | | gives: % 212.44/29.38 | | | | | | | | | | | | | | (384) v1_xboole_0(all_146_0) | r2_hidden(all_64_0, % 212.44/29.38 | | | | | | | | | | | | | | all_146_0) % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | BETA: splitting (236) gives: % 212.44/29.38 | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | (385) v3_struct_0(all_146_1) % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_64_7, all_64_10, % 212.44/29.38 | | | | | | | | | | | | | | | all_146_1, simplifying with (18), (27), (28), % 212.44/29.38 | | | | | | | | | | | | | | | (39), (41), (204), (385) gives: % 212.44/29.38 | | | | | | | | | | | | | | | (386) $false % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | (387) ~ v3_struct_0(all_146_1) % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | BETA: splitting (384) gives: % 212.44/29.38 | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | (388) v1_xboole_0(all_146_0) % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_146_1, % 212.44/29.38 | | | | | | | | | | | | | | | | all_146_0, simplifying with (202), (203), (238), % 212.44/29.38 | | | | | | | | | | | | | | | | (387), (388) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | (389) $false % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (207) with all_64_2, all_64_1, % 212.44/29.38 | | | | | | | | | | | | | | | | simplifying with (21), (33), (38), (44), (166), % 212.44/29.38 | | | | | | | | | | | | | | | | (174), (185) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | (390) ~ m1_subset_1(all_64_1, all_149_0) | ~ % 212.44/29.38 | | | | | | | | | | | | | | | | m1_subset_1(all_64_2, all_149_0) | % 212.44/29.38 | | | | | | | | | | | | | | | | r1_orders_2(all_102_1, all_64_2, all_64_1) % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t4_subset) with all_209_0, % 212.44/29.38 | | | | | | | | | | | | | | | | all_64_0, all_64_0, all_64_0, simplifying with % 212.44/29.38 | | | | | | | | | | | | | | | | (177), (241) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | (391) ~ (k1_zfmisc_1(all_64_0) = all_64_0) | ~ % 212.44/29.38 | | | | | | | | | | | | | | | | r2_hidden(all_209_0, all_64_0) | ~ % 212.44/29.38 | | | | | | | | | | | | | | | | m1_subset_1(all_64_0, all_64_0) | % 212.44/29.38 | | | | | | | | | | | | | | | | m1_subset_1(all_209_0, all_64_0) % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t4_subset) with all_64_3, all_64_0, % 212.44/29.38 | | | | | | | | | | | | | | | | all_64_0, all_64_0, simplifying with (43), (177) % 212.44/29.38 | | | | | | | | | | | | | | | | gives: % 212.44/29.38 | | | | | | | | | | | | | | | | (392) ~ (k1_zfmisc_1(all_64_0) = all_64_0) | ~ % 212.44/29.38 | | | | | | | | | | | | | | | | r2_hidden(all_64_3, all_64_0) | ~ % 212.44/29.38 | | | | | | | | | | | | | | | | m1_subset_1(all_64_0, all_64_0) | % 212.44/29.38 | | | | | | | | | | | | | | | | m1_subset_1(all_64_3, all_64_0) % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (104) with all_64_5, all_64_2, % 212.44/29.38 | | | | | | | | | | | | | | | | all_64_3, all_64_0, simplifying with (32), (34), % 212.44/29.38 | | | | | | | | | | | | | | | | (35), (36), (43), (44), (73), (178), (376), (378) % 212.44/29.38 | | | | | | | | | | | | | | | | gives: % 212.44/29.38 | | | | | | | | | | | | | | | | (393) ~ m1_subset_1(all_64_5, all_93_0) | % 212.44/29.38 | | | | | | | | | | | | | | | | r2_hidden(all_64_0, all_64_5) % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | BETA: splitting (390) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | (394) ~ m1_subset_1(all_64_1, all_149_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | REDUCE: (208), (394) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | (395) ~ m1_subset_1(all_64_1, all_102_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | PRED_UNIFY: (382), (395) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | (396) $false % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | (397) m1_subset_1(all_64_1, all_149_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | (398) ~ m1_subset_1(all_64_2, all_149_0) | % 212.44/29.38 | | | | | | | | | | | | | | | | | r1_orders_2(all_102_1, all_64_2, all_64_1) % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | BETA: splitting (393) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | (399) ~ m1_subset_1(all_64_5, all_93_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | REDUCE: (147), (399) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | (400) ~ m1_subset_1(all_64_5, all_64_4) % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (30), (400) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | (401) $false % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | CLOSE: (401) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | (402) r2_hidden(all_64_0, all_64_5) % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (403) ~ m1_subset_1(all_64_2, all_149_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | REDUCE: (208), (403) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (404) ~ m1_subset_1(all_64_2, all_102_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (383), (404) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (405) $false % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | CLOSE: (405) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (406) m1_subset_1(all_64_2, all_149_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (407) r1_orders_2(all_102_1, all_64_2, all_64_1) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t4_subset) with all_64_0, all_64_5, % 212.44/29.38 | | | | | | | | | | | | | | | | | | | all_64_9, all_64_8, simplifying with (29), (40), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (47), (73), (177), (402) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (408) m1_subset_1(all_64_0, all_64_9) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (116) with all_64_2, all_64_1, % 212.44/29.38 | | | | | | | | | | | | | | | | | | | simplifying with (37), (44), (174), (254), (382), % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (383), (407) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | (409) ~ m1_subset_1(all_64_5, all_96_0) | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | r2_hidden(all_64_1, all_64_6) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (409) gives: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | Case 1: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | (410) ~ m1_subset_1(all_64_5, all_96_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (410) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | (411) ~ m1_subset_1(all_64_5, all_64_8) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (29), (411) imply: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | (412) $false % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | CLOSE: (412) is inconsistent. % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | Case 2: % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | (413) m1_subset_1(all_64_5, all_96_0) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | (414) r2_hidden(all_64_1, all_64_6) % 212.44/29.38 | | | | | | | | | | | | | | | | | | | | % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_64_10, all_64_9, % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_2, all_64_0, % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | (28), (33), (34), (38), (39), (41), (44), (45), % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | (46), (172), (177), (187), (408) gives: % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | (415) r1_orders_2(all_64_10, all_64_2, all_64_0) % 212.52/29.38 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_64_10, all_64_9, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_3, all_64_0, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (28), (31), (32), (38), (39), (41), (43), (45), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (46), (172), (177), (186), (408) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (416) r1_orders_2(all_64_10, all_64_3, all_64_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t1_subset) with all_64_1, all_64_6, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | simplifying with (42), (174), (414) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (417) m1_subset_1(all_64_1, all_64_6) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_64_10, all_64_9, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_2, all_64_1, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (28), (33), (34), (38), (39), (41), (44), (45), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (46), (166), (174), (185), (417) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (418) r1_orders_2(all_64_7, all_64_2, all_64_1) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_64_10, all_64_9, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | all_64_7, all_64_6, all_64_3, all_64_1, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (21), (22), (27), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (28), (31), (32), (38), (39), (41), (43), (45), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (46), (166), (174), (184), (417) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (419) r1_orders_2(all_64_7, all_64_3, all_64_1) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_64_10, all_64_9, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_64_0, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (177), (408), (415), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (416) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | (420) all_64_0 = all_64_1 | ? [v0: $i] : ($i(v0) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_2, v0) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_3, v0) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | m1_subset_1(v0, all_64_9) & ~ % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_0, v0)) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | Case 1: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (421) all_64_0 = all_64_1 % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (421) imply: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (422) $false % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | CLOSE: (422) is inconsistent. % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | Case 2: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (423) ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_10, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_64_2, v0) & r1_orders_2(all_64_10, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_64_3, v0) & m1_subset_1(v0, all_64_9) & ~ % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_0, v0)) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (423) with fresh symbol all_544_0 % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (424) $i(all_544_0) & r1_orders_2(all_64_10, all_64_2, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_544_0) & r1_orders_2(all_64_10, all_64_3, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_544_0) & m1_subset_1(all_544_0, all_64_9) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | ~ r1_orders_2(all_64_10, all_64_0, all_544_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (424) implies: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (425) ~ r1_orders_2(all_64_10, all_64_0, all_544_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (426) m1_subset_1(all_544_0, all_64_9) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (427) r1_orders_2(all_64_10, all_64_3, all_544_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (428) r1_orders_2(all_64_10, all_64_2, all_544_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (429) $i(all_544_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_544_0, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_64_9, simplifying with (40), (250), (426), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (429) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (430) r2_hidden(all_544_0, all_64_9) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_64_10, all_64_9, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_544_0, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (166), (174), (426), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (427), (428), (429) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (431) r1_orders_2(all_64_10, all_64_1, all_544_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_64_10, all_64_9, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_1, all_544_0, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (25), (27), (31), (33), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (39), (43), (44), (45), (49), (426), (427), (428), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (429) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (432) all_544_0 = all_64_1 | ? [v0: $i] : ($i(v0) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_2, v0) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_64_3, v0) & % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | m1_subset_1(v0, all_64_9) & ~ % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_64_10, all_544_0, v0)) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_64_7, all_64_6, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | all_64_3, all_64_2, all_64_0, all_64_1, % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (26), (28), (32), (34), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (41), (43), (44), (46), (50), (172), (174), (177), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (417), (418), (419) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | (433) r1_orders_2(all_64_7, all_64_0, all_64_1) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (17), (18), (21), (22), (24), (26), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (27), (28), (29), (31), (32), (33), (34), (37), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (38), (39), (40), (41), (42), (43), (44), (45), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (46), (50), (116), (148), (166), (172), (174), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (177), (195), (207), (208), (212), (250), (382), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (408), (414), (417), (425), (426), (427), (428), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (429), (430), (431), (432), (433), (t1_subset), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (t2_subset) are inconsistent by sub-proof #1. % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | (434) k1_zfmisc_1(all_64_0) = all_64_0 % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (435) ~ (k1_zfmisc_1(all_64_0) = all_64_0) % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (434), (435) imply: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (436) $false % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (436) is inconsistent. % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (17), (18), (21), (22), (24), (26), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (27), (28), (29), (31), (32), (33), (34), (37), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (38), (39), (40), (41), (42), (43), (44), (45), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (46), (50), (116), (148), (166), (172), (174), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (177), (195), (207), (208), (212), (250), (382), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (408), (414), (417), (425), (426), (427), (428), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (429), (430), (431), (432), (433), (t1_subset), % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | (t2_subset) are inconsistent by sub-proof #1. % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | | % 212.52/29.39 | | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | | % 212.52/29.39 | | | | | | | | | End of split % 212.52/29.39 | | | | | | | | | % 212.52/29.39 | | | | | | | | End of split % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | End of split % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | Case 2: % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | (437) u1_struct_0(all_64_7) = all_80_1 & $i(all_80_1) & ( ~ % 212.52/29.39 | | | | | | | m1_subset_1(all_64_2, all_80_1) | ~ % 212.52/29.39 | | | | | | | m1_subset_1(all_64_3, all_80_1)) % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | ALPHA: (437) implies: % 212.52/29.39 | | | | | | | (438) u1_struct_0(all_64_7) = all_80_1 % 212.52/29.39 | | | | | | | (439) ~ m1_subset_1(all_64_2, all_80_1) | ~ % 212.52/29.39 | | | | | | | m1_subset_1(all_64_3, all_80_1) % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | GROUND_INST: instantiating (12) with all_64_6, all_80_1, all_64_7, % 212.52/29.39 | | | | | | | simplifying with (46), (438) gives: % 212.52/29.39 | | | | | | | (440) all_80_1 = all_64_6 % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | BETA: splitting (439) gives: % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | Case 1: % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | (441) ~ m1_subset_1(all_64_2, all_80_1) % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | REDUCE: (440), (441) imply: % 212.52/29.39 | | | | | | | | (442) ~ m1_subset_1(all_64_2, all_64_6) % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | PRED_UNIFY: (34), (442) imply: % 212.52/29.39 | | | | | | | | (443) $false % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | CLOSE: (443) is inconsistent. % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | Case 2: % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | (444) ~ m1_subset_1(all_64_3, all_80_1) % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | REDUCE: (440), (444) imply: % 212.52/29.39 | | | | | | | | (445) ~ m1_subset_1(all_64_3, all_64_6) % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | PRED_UNIFY: (32), (445) imply: % 212.52/29.39 | | | | | | | | (446) $false % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | | CLOSE: (446) is inconsistent. % 212.52/29.39 | | | | | | | | % 212.52/29.39 | | | | | | | End of split % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | End of split % 212.52/29.39 | | | | | | % 212.52/29.39 | | | | | Case 2: % 212.52/29.39 | | | | | | % 212.52/29.39 | | | | | | (447) u1_struct_0(all_64_10) = all_85_1 & $i(all_85_1) & ( ~ % 212.52/29.39 | | | | | | m1_subset_1(all_64_2, all_85_1) | ~ % 212.52/29.39 | | | | | | m1_subset_1(all_64_3, all_85_1)) % 212.52/29.39 | | | | | | % 212.52/29.39 | | | | | | ALPHA: (447) implies: % 212.52/29.39 | | | | | | (448) u1_struct_0(all_64_10) = all_85_1 % 212.52/29.39 | | | | | | (449) ~ m1_subset_1(all_64_2, all_85_1) | ~ % 212.52/29.39 | | | | | | m1_subset_1(all_64_3, all_85_1) % 212.52/29.39 | | | | | | % 212.52/29.39 | | | | | | GROUND_INST: instantiating (12) with all_64_9, all_85_1, all_64_10, % 212.52/29.39 | | | | | | simplifying with (45), (448) gives: % 212.52/29.39 | | | | | | (450) all_85_1 = all_64_9 % 212.52/29.39 | | | | | | % 212.52/29.39 | | | | | | BETA: splitting (449) gives: % 212.52/29.39 | | | | | | % 212.52/29.39 | | | | | | Case 1: % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | (451) ~ m1_subset_1(all_64_2, all_85_1) % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | REDUCE: (450), (451) imply: % 212.52/29.39 | | | | | | | (452) ~ m1_subset_1(all_64_2, all_64_9) % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | PRED_UNIFY: (33), (452) imply: % 212.52/29.39 | | | | | | | (453) $false % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | | CLOSE: (453) is inconsistent. % 212.52/29.39 | | | | | | | % 212.52/29.39 | | | | | | Case 2: % 212.52/29.39 | | | | | | | % 212.52/29.40 | | | | | | | (454) ~ m1_subset_1(all_64_3, all_85_1) % 212.52/29.40 | | | | | | | % 212.52/29.40 | | | | | | | REDUCE: (450), (454) imply: % 212.52/29.40 | | | | | | | (455) ~ m1_subset_1(all_64_3, all_64_9) % 212.52/29.40 | | | | | | | % 212.52/29.40 | | | | | | | PRED_UNIFY: (31), (455) imply: % 212.52/29.40 | | | | | | | (456) $false % 212.52/29.40 | | | | | | | % 212.52/29.40 | | | | | | | CLOSE: (456) is inconsistent. % 212.52/29.40 | | | | | | | % 212.52/29.40 | | | | | | End of split % 212.52/29.40 | | | | | | % 212.52/29.40 | | | | | End of split % 212.52/29.40 | | | | | % 212.52/29.40 | | | | End of split % 212.52/29.40 | | | | % 212.52/29.40 | | | End of split % 212.52/29.40 | | | % 212.52/29.40 | | End of split % 212.52/29.40 | | % 212.52/29.40 | End of split % 212.52/29.40 | % 212.52/29.40 End of proof % 212.52/29.40 % 212.52/29.40 Sub-proof #1 shows that the following formulas are inconsistent: % 212.52/29.40 ---------------------------------------------------------------- % 212.52/29.40 (1) $i(all_64_9) % 212.52/29.40 (2) $i(all_64_7) % 212.52/29.40 (3) all_149_0 = all_102_0 % 212.52/29.40 (4) v1_lattice3(all_64_7) % 212.52/29.40 (5) l1_orders_2(all_64_10) % 212.52/29.40 (6) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.52/29.40 r1_orders_2(all_102_1, v0, v1) | ~ r2_hidden(v0, all_64_6) | ~ % 212.52/29.40 v13_waybel_0(all_64_5, all_64_10) | ~ m1_subset_1(v1, all_102_0) | ~ % 212.52/29.40 m1_subset_1(v0, all_102_0) | ~ m1_subset_1(all_64_5, all_96_0) | % 212.52/29.40 r2_hidden(v1, all_64_6)) % 212.52/29.40 (7) r1_orders_2(all_64_10, all_64_2, all_544_0) % 212.52/29.40 (8) v3_orders_2(all_64_7) % 212.52/29.40 (9) r1_orders_2(all_64_10, all_64_1, all_544_0) % 212.52/29.40 (10) $i(all_544_0) % 212.52/29.40 (11) m1_subset_1(all_64_5, all_64_8) % 212.52/29.40 (12) m1_subset_1(all_64_0, all_64_9) % 212.52/29.40 (13) all_544_0 = all_64_1 | ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_10, % 212.52/29.40 all_64_2, v0) & r1_orders_2(all_64_10, all_64_3, v0) & % 212.52/29.40 m1_subset_1(v0, all_64_9) & ~ r1_orders_2(all_64_10, all_544_0, v0)) % 212.52/29.40 (14) u1_struct_0(all_64_10) = all_64_9 % 212.52/29.40 (15) all_139_0 = all_102_0 % 212.52/29.40 (16) ~ v3_struct_0(all_64_7) % 212.52/29.40 (17) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, % 212.52/29.40 v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) % 212.52/29.40 (18) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.52/29.40 r1_orders_2(all_64_10, v0, v1) | ~ r1_latsum_1(all_64_10, all_64_7) | % 212.52/29.40 ~ m1_subset_1(v1, all_149_0) | ~ m1_subset_1(v1, all_64_9) | ~ % 212.52/29.40 m1_subset_1(v0, all_149_0) | ~ m1_subset_1(v0, all_64_9) | ~ % 212.52/29.40 v3_orders_2(all_64_10) | r1_orders_2(all_102_1, v0, v1)) % 212.52/29.40 (19) v13_waybel_0(all_64_5, all_64_10) % 212.52/29.40 (20) $i(all_64_10) % 212.52/29.40 (21) ~ r1_orders_2(all_64_10, all_64_0, all_544_0) % 212.52/29.40 (22) m1_subset_1(all_544_0, all_64_9) % 212.52/29.40 (23) m1_subset_1(all_64_2, all_64_6) % 212.52/29.40 (24) m1_subset_1(all_64_0, all_64_6) % 212.52/29.40 (25) ! [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_64_9) | m1_subset_1(v0, % 212.52/29.40 all_139_0)) % 212.52/29.40 (26) ~ v1_xboole_0(all_64_9) % 212.52/29.40 (27) r2_hidden(all_64_1, all_64_6) % 212.52/29.40 (28) r1_orders_2(all_64_10, all_64_3, all_544_0) % 212.52/29.40 (29) r1_orders_2(all_64_7, all_64_0, all_64_1) % 212.52/29.40 (30) u1_struct_0(all_64_7) = all_64_6 % 212.52/29.40 (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.40 [v5: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ % 212.52/29.40 $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v0, v4, % 212.52/29.40 v5) | ~ r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ % 212.52/29.40 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) % 212.52/29.40 | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ % 212.52/29.40 v3_orders_2(v0) | r1_orders_2(v2, v4, v5) | v3_struct_0(v2) | % 212.52/29.40 v3_struct_0(v0)) % 212.52/29.40 (32) all_96_0 = all_64_8 % 212.52/29.40 (33) r2_hidden(all_544_0, all_64_9) % 212.52/29.40 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.40 [v5: $i] : ( ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = % 212.52/29.40 v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 212.52/29.40 r1_orders_2(v0, v3, v5) | ~ r1_orders_2(v0, v2, v5) | ~ % 212.52/29.40 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) % 212.52/29.40 | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) | ~ v1_lattice3(v0) | % 212.52/29.40 ~ v4_orders_2(v0) | r1_orders_2(v0, v4, v5)) % 212.52/29.40 (35) $i(all_64_6) % 212.52/29.40 (36) m1_subset_1(all_64_3, all_64_6) % 212.52/29.40 (37) v3_orders_2(all_64_10) % 212.52/29.40 (38) $i(all_64_2) % 212.52/29.40 (39) l1_orders_2(all_64_7) % 212.52/29.40 (40) $i(all_64_1) % 212.52/29.40 (41) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0, % 212.52/29.40 v1) | m1_subset_1(v0, v1)) % 212.52/29.40 (42) m1_subset_1(all_64_3, all_64_9) % 212.52/29.40 (43) $i(all_64_0) % 212.52/29.40 (44) ~ v3_struct_0(all_64_10) % 212.52/29.40 (45) k13_lattice3(all_64_7, all_64_3, all_64_2) = all_64_0 % 212.52/29.40 (46) v4_orders_2(all_64_7) % 212.52/29.40 (47) m1_subset_1(all_64_2, all_64_9) % 212.52/29.40 (48) m1_subset_1(all_64_1, all_64_9) % 212.52/29.40 (49) r1_latsum_1(all_64_10, all_64_7) % 212.52/29.40 (50) $i(all_64_3) % 212.52/29.40 (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.40 [v5: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ % 212.52/29.40 $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v2, v4, % 212.52/29.40 v5) | ~ r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ % 212.52/29.40 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) % 212.52/29.40 | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ % 212.52/29.40 v3_orders_2(v0) | r1_orders_2(v0, v4, v5) | v3_struct_0(v2) | % 212.52/29.40 v3_struct_0(v0)) % 212.52/29.40 (52) m1_subset_1(all_64_1, all_102_0) % 212.52/29.40 (53) m1_subset_1(all_64_1, all_64_6) % 212.52/29.40 % 212.52/29.40 Begin of proof % 212.52/29.40 | % 212.52/29.40 | GROUND_INST: instantiating (25) with all_544_0, simplifying with (10), (33) % 212.52/29.40 | gives: % 212.52/29.40 | (54) m1_subset_1(all_544_0, all_139_0) % 212.52/29.40 | % 212.52/29.40 | GROUND_INST: instantiating (51) with all_64_10, all_64_9, all_64_7, all_64_6, % 212.52/29.40 | all_64_0, all_64_1, simplifying with (2), (5), (8), (12), (14), % 212.52/29.40 | (16), (20), (24), (29), (30), (37), (39), (40), (43), (44), (48), % 212.52/29.40 | (49), (53) gives: % 212.52/29.40 | (55) r1_orders_2(all_64_10, all_64_0, all_64_1) % 212.52/29.40 | % 212.52/29.40 | REDUCE: (15), (54) imply: % 212.52/29.40 | (56) m1_subset_1(all_544_0, all_102_0) % 212.52/29.40 | % 212.52/29.40 | BETA: splitting (13) gives: % 212.52/29.40 | % 212.52/29.40 | Case 1: % 212.52/29.40 | | % 212.52/29.40 | | (57) all_544_0 = all_64_1 % 212.52/29.40 | | % 212.52/29.40 | | REDUCE: (21), (57) imply: % 212.52/29.40 | | (58) ~ r1_orders_2(all_64_10, all_64_0, all_64_1) % 212.52/29.40 | | % 212.52/29.40 | | PRED_UNIFY: (55), (58) imply: % 212.52/29.40 | | (59) $false % 212.52/29.40 | | % 212.52/29.40 | | CLOSE: (59) is inconsistent. % 212.52/29.40 | | % 212.52/29.40 | Case 2: % 212.52/29.40 | | % 212.52/29.40 | | (60) ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_10, all_64_2, v0) & % 212.52/29.40 | | r1_orders_2(all_64_10, all_64_3, v0) & m1_subset_1(v0, all_64_9) & % 212.52/29.40 | | ~ r1_orders_2(all_64_10, all_544_0, v0)) % 212.52/29.40 | | % 212.52/29.40 | | DELTA: instantiating (60) with fresh symbol all_991_0 gives: % 212.52/29.40 | | (61) $i(all_991_0) & r1_orders_2(all_64_10, all_64_2, all_991_0) & % 212.52/29.40 | | r1_orders_2(all_64_10, all_64_3, all_991_0) & m1_subset_1(all_991_0, % 212.52/29.40 | | all_64_9) & ~ r1_orders_2(all_64_10, all_544_0, all_991_0) % 212.52/29.40 | | % 212.52/29.40 | | ALPHA: (61) implies: % 212.52/29.40 | | (62) m1_subset_1(all_991_0, all_64_9) % 212.52/29.40 | | (63) r1_orders_2(all_64_10, all_64_3, all_991_0) % 212.52/29.40 | | (64) $i(all_991_0) % 212.52/29.40 | | % 212.52/29.40 | | GROUND_INST: instantiating (18) with all_64_1, all_544_0, simplifying with % 212.52/29.40 | | (9), (10), (22), (37), (40), (48), (49) gives: % 212.52/29.40 | | (65) ~ m1_subset_1(all_544_0, all_149_0) | ~ m1_subset_1(all_64_1, % 212.52/29.40 | | all_149_0) | r1_orders_2(all_102_1, all_64_1, all_544_0) % 212.52/29.40 | | % 212.52/29.40 | | GROUND_INST: instantiating (17) with all_991_0, all_64_9, simplifying with % 212.52/29.40 | | (1), (26), (62), (64) gives: % 212.52/29.40 | | (66) r2_hidden(all_991_0, all_64_9) % 212.52/29.40 | | % 212.52/29.40 | | BETA: splitting (65) gives: % 212.52/29.40 | | % 212.52/29.40 | | Case 1: % 212.52/29.40 | | | % 212.52/29.41 | | | (67) ~ m1_subset_1(all_544_0, all_149_0) % 212.52/29.41 | | | % 212.52/29.41 | | | REDUCE: (3), (67) imply: % 212.52/29.41 | | | (68) ~ m1_subset_1(all_544_0, all_102_0) % 212.52/29.41 | | | % 212.52/29.41 | | | PRED_UNIFY: (56), (68) imply: % 212.52/29.41 | | | (69) $false % 212.52/29.41 | | | % 212.52/29.41 | | | CLOSE: (69) is inconsistent. % 212.52/29.41 | | | % 212.52/29.41 | | Case 2: % 212.52/29.41 | | | % 212.52/29.41 | | | (70) m1_subset_1(all_544_0, all_149_0) % 212.52/29.41 | | | (71) ~ m1_subset_1(all_64_1, all_149_0) | r1_orders_2(all_102_1, % 212.52/29.41 | | | all_64_1, all_544_0) % 212.52/29.41 | | | % 212.52/29.41 | | | BETA: splitting (71) gives: % 212.52/29.41 | | | % 212.52/29.41 | | | Case 1: % 212.52/29.41 | | | | % 212.52/29.41 | | | | (72) ~ m1_subset_1(all_64_1, all_149_0) % 212.52/29.41 | | | | % 212.52/29.41 | | | | REDUCE: (3), (72) imply: % 212.52/29.41 | | | | (73) ~ m1_subset_1(all_64_1, all_102_0) % 212.52/29.41 | | | | % 212.52/29.41 | | | | PRED_UNIFY: (52), (73) imply: % 212.52/29.41 | | | | (74) $false % 212.52/29.41 | | | | % 212.52/29.41 | | | | CLOSE: (74) is inconsistent. % 212.52/29.41 | | | | % 212.52/29.41 | | | Case 2: % 212.52/29.41 | | | | % 212.52/29.41 | | | | (75) m1_subset_1(all_64_1, all_149_0) % 212.52/29.41 | | | | (76) r1_orders_2(all_102_1, all_64_1, all_544_0) % 212.52/29.41 | | | | % 212.52/29.41 | | | | GROUND_INST: instantiating (25) with all_991_0, simplifying with (64), % 212.52/29.41 | | | | (66) gives: % 212.52/29.41 | | | | (77) m1_subset_1(all_991_0, all_139_0) % 212.52/29.41 | | | | % 212.52/29.41 | | | | GROUND_INST: instantiating (6) with all_64_1, all_544_0, simplifying % 212.52/29.41 | | | | with (10), (19), (27), (40), (52), (56), (76) gives: % 212.52/29.41 | | | | (78) ~ m1_subset_1(all_64_5, all_96_0) | r2_hidden(all_544_0, % 212.52/29.41 | | | | all_64_6) % 212.52/29.41 | | | | % 212.52/29.41 | | | | REDUCE: (15), (77) imply: % 212.52/29.41 | | | | (79) m1_subset_1(all_991_0, all_102_0) % 212.52/29.41 | | | | % 212.52/29.41 | | | | BETA: splitting (78) gives: % 212.52/29.41 | | | | % 212.52/29.41 | | | | Case 1: % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | (80) ~ m1_subset_1(all_64_5, all_96_0) % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | REDUCE: (32), (80) imply: % 212.52/29.41 | | | | | (81) ~ m1_subset_1(all_64_5, all_64_8) % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | PRED_UNIFY: (11), (81) imply: % 212.52/29.41 | | | | | (82) $false % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | CLOSE: (82) is inconsistent. % 212.52/29.41 | | | | | % 212.52/29.41 | | | | Case 2: % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | (83) r2_hidden(all_544_0, all_64_6) % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | GROUND_INST: instantiating (18) with all_64_3, all_991_0, simplifying % 212.52/29.41 | | | | | with (37), (42), (49), (50), (62), (63), (64) gives: % 212.52/29.41 | | | | | (84) ~ m1_subset_1(all_991_0, all_149_0) | ~ % 212.52/29.41 | | | | | m1_subset_1(all_64_3, all_149_0) | r1_orders_2(all_102_1, % 212.52/29.41 | | | | | all_64_3, all_991_0) % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | GROUND_INST: instantiating (41) with all_544_0, all_64_6, simplifying % 212.52/29.41 | | | | | with (10), (35), (83) gives: % 212.52/29.41 | | | | | (85) m1_subset_1(all_544_0, all_64_6) % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | BETA: splitting (84) gives: % 212.52/29.41 | | | | | % 212.52/29.41 | | | | | Case 1: % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | (86) ~ m1_subset_1(all_991_0, all_149_0) % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | REDUCE: (3), (86) imply: % 212.52/29.41 | | | | | | (87) ~ m1_subset_1(all_991_0, all_102_0) % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | PRED_UNIFY: (79), (87) imply: % 212.52/29.41 | | | | | | (88) $false % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | CLOSE: (88) is inconsistent. % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | Case 2: % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | GROUND_INST: instantiating (31) with all_64_10, all_64_9, all_64_7, % 212.52/29.41 | | | | | | all_64_6, all_64_2, all_544_0, simplifying with (2), % 212.52/29.41 | | | | | | (5), (7), (8), (10), (14), (16), (20), (22), (23), % 212.52/29.41 | | | | | | (30), (37), (38), (39), (44), (47), (49), (85) gives: % 212.52/29.41 | | | | | | (89) r1_orders_2(all_64_7, all_64_2, all_544_0) % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | GROUND_INST: instantiating (31) with all_64_10, all_64_9, all_64_7, % 212.52/29.41 | | | | | | all_64_6, all_64_3, all_544_0, simplifying with (2), % 212.52/29.41 | | | | | | (5), (8), (10), (14), (16), (20), (22), (28), (30), % 212.52/29.41 | | | | | | (36), (37), (39), (42), (44), (49), (50), (85) gives: % 212.52/29.41 | | | | | | (90) r1_orders_2(all_64_7, all_64_3, all_544_0) % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | GROUND_INST: instantiating (34) with all_64_7, all_64_6, all_64_3, % 212.52/29.41 | | | | | | all_64_2, all_64_0, all_544_0, simplifying with (2), % 212.52/29.41 | | | | | | (4), (10), (23), (24), (30), (36), (38), (39), (43), % 212.52/29.41 | | | | | | (45), (46), (50), (85), (89), (90) gives: % 212.52/29.41 | | | | | | (91) r1_orders_2(all_64_7, all_64_0, all_544_0) % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | GROUND_INST: instantiating (51) with all_64_10, all_64_9, all_64_7, % 212.52/29.41 | | | | | | all_64_6, all_64_0, all_544_0, simplifying with (2), % 212.52/29.41 | | | | | | (5), (8), (10), (12), (14), (16), (20), (21), (22), % 212.52/29.41 | | | | | | (24), (30), (37), (39), (43), (44), (49), (85), (91) % 212.52/29.41 | | | | | | gives: % 212.52/29.41 | | | | | | (92) $false % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | | CLOSE: (92) is inconsistent. % 212.52/29.41 | | | | | | % 212.52/29.41 | | | | | End of split % 212.52/29.41 | | | | | % 212.52/29.41 | | | | End of split % 212.52/29.41 | | | | % 212.52/29.41 | | | End of split % 212.52/29.41 | | | % 212.52/29.41 | | End of split % 212.52/29.41 | | % 212.52/29.41 | End of split % 212.52/29.41 | % 212.52/29.41 End of proof % 212.52/29.41 % 212.52/29.41 Sub-proof #2 shows that the following formulas are inconsistent: % 212.52/29.41 ---------------------------------------------------------------- % 212.52/29.41 (1) $i(all_64_9) % 212.52/29.41 (2) $i(all_64_7) % 212.52/29.41 (3) r1_orders_2(all_64_7, all_64_1, all_64_0) % 212.52/29.41 (4) all_149_0 = all_102_0 % 212.52/29.41 (5) r1_orders_2(all_64_10, all_64_3, all_538_0) % 212.52/29.41 (6) v1_lattice3(all_64_7) % 212.52/29.41 (7) k13_lattice3(all_64_10, all_64_3, all_64_2) = all_64_1 % 212.52/29.41 (8) l1_orders_2(all_64_10) % 212.52/29.41 (9) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.52/29.41 r1_orders_2(all_102_1, v0, v1) | ~ r2_hidden(v0, all_64_6) | ~ % 212.52/29.41 v13_waybel_0(all_64_5, all_64_10) | ~ m1_subset_1(v1, all_102_0) | ~ % 212.52/29.41 m1_subset_1(v0, all_102_0) | ~ m1_subset_1(all_64_5, all_96_0) | % 212.52/29.41 r2_hidden(v1, all_64_6)) % 212.52/29.41 (10) v3_orders_2(all_64_7) % 212.52/29.41 (11) $i(all_574_0) % 212.52/29.41 (12) m1_subset_1(all_64_5, all_64_8) % 212.52/29.41 (13) m1_subset_1(all_64_0, all_64_9) % 212.52/29.41 (14) all_538_0 = all_64_1 | ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_10, % 212.52/29.41 all_64_2, v0) & r1_orders_2(all_64_10, all_64_3, v0) & % 212.52/29.41 m1_subset_1(v0, all_64_9) & ~ r1_orders_2(all_64_10, all_538_0, v0)) % 212.52/29.41 (15) u1_struct_0(all_64_10) = all_64_9 % 212.52/29.41 (16) all_139_0 = all_102_0 % 212.52/29.41 (17) ~ v3_struct_0(all_64_7) % 212.52/29.41 (18) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, % 212.52/29.41 v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) % 212.52/29.41 (19) v4_orders_2(all_64_10) % 212.52/29.41 (20) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 212.52/29.41 r1_orders_2(all_64_10, v0, v1) | ~ r1_latsum_1(all_64_10, all_64_7) | % 212.52/29.41 ~ m1_subset_1(v1, all_149_0) | ~ m1_subset_1(v1, all_64_9) | ~ % 212.52/29.41 m1_subset_1(v0, all_149_0) | ~ m1_subset_1(v0, all_64_9) | ~ % 212.52/29.41 v3_orders_2(all_64_10) | r1_orders_2(all_102_1, v0, v1)) % 212.52/29.41 (21) m1_subset_1(all_538_0, all_64_9) % 212.52/29.41 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.41 [v5: $i] : (v5 = v4 | ~ (k13_lattice3(v0, v2, v3) = v4) | ~ % 212.52/29.41 (u1_struct_0(v0) = v1) | ~ $i(v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) % 212.52/29.41 | ~ r1_orders_2(v0, v3, v5) | ~ r1_orders_2(v0, v2, v5) | ~ % 212.52/29.41 m1_subset_1(v5, v1) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) % 212.52/29.41 | ~ l1_orders_2(v0) | ~ v1_lattice3(v0) | ~ v4_orders_2(v0) | ? % 212.52/29.41 [v6: $i] : ($i(v6) & r1_orders_2(v0, v3, v6) & r1_orders_2(v0, v2, v6) % 212.52/29.41 & m1_subset_1(v6, v1) & ~ r1_orders_2(v0, v5, v6))) % 212.52/29.41 (23) ~ r1_orders_2(all_64_7, all_64_1, all_574_0) % 212.52/29.41 (24) r1_orders_2(all_64_7, all_64_2, all_574_0) % 212.52/29.41 (25) v13_waybel_0(all_64_5, all_64_10) % 212.52/29.41 (26) $i(all_64_10) % 212.52/29.41 (27) m1_subset_1(all_64_2, all_64_6) % 212.52/29.41 (28) r1_orders_2(all_64_10, all_64_1, all_538_0) % 212.52/29.41 (29) m1_subset_1(all_64_0, all_64_6) % 212.52/29.41 (30) ! [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_64_9) | m1_subset_1(v0, % 212.52/29.41 all_139_0)) % 212.52/29.41 (31) r2_hidden(all_538_0, all_64_9) % 212.52/29.41 (32) $i(all_538_0) % 212.52/29.41 (33) ~ v1_xboole_0(all_64_9) % 212.52/29.41 (34) r2_hidden(all_64_1, all_64_6) % 212.52/29.41 (35) v1_lattice3(all_64_10) % 212.52/29.41 (36) r1_orders_2(all_64_7, all_64_0, all_64_1) % 212.52/29.41 (37) u1_struct_0(all_64_7) = all_64_6 % 212.52/29.41 (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.41 [v5: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ % 212.52/29.41 $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v0, v4, % 212.52/29.41 v5) | ~ r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ % 212.52/29.41 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) % 212.52/29.41 | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ % 212.52/29.41 v3_orders_2(v0) | r1_orders_2(v2, v4, v5) | v3_struct_0(v2) | % 212.52/29.41 v3_struct_0(v0)) % 212.52/29.41 (39) all_96_0 = all_64_8 % 212.52/29.41 (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.41 [v5: $i] : ( ~ (k13_lattice3(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = % 212.52/29.41 v1) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 212.52/29.41 r1_orders_2(v0, v3, v5) | ~ r1_orders_2(v0, v2, v5) | ~ % 212.52/29.41 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) % 212.52/29.42 | ~ m1_subset_1(v2, v1) | ~ l1_orders_2(v0) | ~ v1_lattice3(v0) | % 212.52/29.42 ~ v4_orders_2(v0) | r1_orders_2(v0, v4, v5)) % 212.52/29.42 (41) r1_orders_2(all_64_7, all_64_3, all_574_0) % 212.52/29.42 (42) $i(all_64_6) % 212.52/29.42 (43) m1_subset_1(all_64_3, all_64_6) % 212.52/29.42 (44) v3_orders_2(all_64_10) % 212.52/29.42 (45) $i(all_64_2) % 212.52/29.42 (46) l1_orders_2(all_64_7) % 212.52/29.42 (47) $i(all_64_1) % 212.52/29.42 (48) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0, % 212.52/29.42 v1) | m1_subset_1(v0, v1)) % 212.52/29.42 (49) r1_orders_2(all_64_10, all_64_2, all_538_0) % 212.52/29.42 (50) m1_subset_1(all_64_3, all_64_9) % 212.52/29.42 (51) ~ r1_orders_2(all_64_10, all_64_0, all_538_0) % 212.52/29.42 (52) $i(all_64_0) % 212.52/29.42 (53) m1_subset_1(all_574_0, all_64_6) % 212.52/29.42 (54) ~ v3_struct_0(all_64_10) % 212.52/29.42 (55) k13_lattice3(all_64_7, all_64_3, all_64_2) = all_64_0 % 212.52/29.42 (56) v4_orders_2(all_64_7) % 212.52/29.42 (57) m1_subset_1(all_64_2, all_64_9) % 212.52/29.42 (58) m1_subset_1(all_64_1, all_64_9) % 212.52/29.42 (59) r1_latsum_1(all_64_10, all_64_7) % 212.52/29.42 (60) $i(all_64_3) % 212.52/29.42 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 212.52/29.42 [v5: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ % 212.52/29.42 $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ r1_orders_2(v2, v4, % 212.52/29.42 v5) | ~ r1_latsum_1(v0, v2) | ~ m1_subset_1(v5, v3) | ~ % 212.52/29.42 m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v3) | ~ m1_subset_1(v4, v1) % 212.52/29.42 | ~ l1_orders_2(v2) | ~ l1_orders_2(v0) | ~ v3_orders_2(v2) | ~ % 212.52/29.42 v3_orders_2(v0) | r1_orders_2(v0, v4, v5) | v3_struct_0(v2) | % 212.52/29.42 v3_struct_0(v0)) % 212.52/29.42 (62) m1_subset_1(all_64_1, all_102_0) % 212.52/29.42 (63) m1_subset_1(all_64_1, all_64_6) % 212.52/29.42 % 212.52/29.42 Begin of proof % 212.52/29.42 | % 212.52/29.42 | GROUND_INST: instantiating (30) with all_538_0, simplifying with (31), (32) % 212.52/29.42 | gives: % 212.52/29.42 | (64) m1_subset_1(all_538_0, all_139_0) % 212.52/29.42 | % 212.52/29.42 | GROUND_INST: instantiating (22) with all_64_7, all_64_6, all_64_3, all_64_2, % 212.52/29.42 | all_64_0, all_574_0, simplifying with (2), (6), (11), (24), (27), % 212.52/29.42 | (37), (41), (43), (45), (46), (53), (55), (56), (60) gives: % 212.52/29.42 | (65) all_574_0 = all_64_0 | ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_7, % 212.52/29.42 | all_64_2, v0) & r1_orders_2(all_64_7, all_64_3, v0) & % 212.52/29.42 | m1_subset_1(v0, all_64_6) & ~ r1_orders_2(all_64_7, all_574_0, v0)) % 212.52/29.42 | % 212.52/29.42 | GROUND_INST: instantiating (61) with all_64_10, all_64_9, all_64_7, all_64_6, % 212.52/29.42 | all_64_0, all_64_1, simplifying with (2), (8), (10), (13), (15), % 212.52/29.42 | (17), (26), (29), (36), (37), (44), (46), (47), (52), (54), (58), % 212.52/29.42 | (59), (63) gives: % 212.52/29.42 | (66) r1_orders_2(all_64_10, all_64_0, all_64_1) % 212.52/29.42 | % 212.52/29.42 | REDUCE: (16), (64) imply: % 212.52/29.42 | (67) m1_subset_1(all_538_0, all_102_0) % 212.52/29.42 | % 212.52/29.42 | BETA: splitting (14) gives: % 212.52/29.42 | % 212.52/29.42 | Case 1: % 212.52/29.42 | | % 212.52/29.42 | | (68) all_538_0 = all_64_1 % 212.52/29.42 | | % 212.52/29.42 | | REDUCE: (51), (68) imply: % 212.52/29.42 | | (69) ~ r1_orders_2(all_64_10, all_64_0, all_64_1) % 212.52/29.42 | | % 212.52/29.42 | | PRED_UNIFY: (66), (69) imply: % 212.52/29.42 | | (70) $false % 212.52/29.42 | | % 212.52/29.42 | | CLOSE: (70) is inconsistent. % 212.52/29.42 | | % 212.52/29.42 | Case 2: % 212.52/29.42 | | % 212.52/29.42 | | (71) ? [v0: $i] : ($i(v0) & r1_orders_2(all_64_10, all_64_2, v0) & % 212.52/29.42 | | r1_orders_2(all_64_10, all_64_3, v0) & m1_subset_1(v0, all_64_9) & % 212.52/29.42 | | ~ r1_orders_2(all_64_10, all_538_0, v0)) % 212.52/29.42 | | % 212.52/29.42 | | DELTA: instantiating (71) with fresh symbol all_860_0 gives: % 212.52/29.42 | | (72) $i(all_860_0) & r1_orders_2(all_64_10, all_64_2, all_860_0) & % 212.52/29.42 | | r1_orders_2(all_64_10, all_64_3, all_860_0) & m1_subset_1(all_860_0, % 212.52/29.42 | | all_64_9) & ~ r1_orders_2(all_64_10, all_538_0, all_860_0) % 212.52/29.42 | | % 212.52/29.42 | | ALPHA: (72) implies: % 212.52/29.42 | | (73) m1_subset_1(all_860_0, all_64_9) % 212.52/29.42 | | (74) r1_orders_2(all_64_10, all_64_3, all_860_0) % 212.52/29.42 | | (75) r1_orders_2(all_64_10, all_64_2, all_860_0) % 212.52/29.42 | | (76) $i(all_860_0) % 212.52/29.42 | | % 212.52/29.42 | | GROUND_INST: instantiating (20) with all_64_1, all_538_0, simplifying with % 212.52/29.42 | | (21), (28), (32), (44), (47), (58), (59) gives: % 212.52/29.42 | | (77) ~ m1_subset_1(all_538_0, all_149_0) | ~ m1_subset_1(all_64_1, % 212.52/29.42 | | all_149_0) | r1_orders_2(all_102_1, all_64_1, all_538_0) % 212.52/29.42 | | % 212.52/29.42 | | GROUND_INST: instantiating (18) with all_860_0, all_64_9, simplifying with % 212.52/29.42 | | (1), (33), (73), (76) gives: % 212.52/29.42 | | (78) r2_hidden(all_860_0, all_64_9) % 212.52/29.42 | | % 212.52/29.42 | | GROUND_INST: instantiating (40) with all_64_10, all_64_9, all_64_3, % 212.52/29.42 | | all_64_2, all_64_1, all_860_0, simplifying with (7), (8), (15), % 212.52/29.42 | | (19), (26), (35), (45), (47), (50), (57), (58), (60), (73), % 212.52/29.42 | | (74), (75), (76) gives: % 212.52/29.42 | | (79) r1_orders_2(all_64_10, all_64_1, all_860_0) % 212.52/29.42 | | % 212.52/29.42 | | BETA: splitting (77) gives: % 212.52/29.42 | | % 212.52/29.42 | | Case 1: % 212.52/29.42 | | | % 212.52/29.42 | | | (80) ~ m1_subset_1(all_538_0, all_149_0) % 212.52/29.42 | | | % 212.52/29.42 | | | REDUCE: (4), (80) imply: % 212.52/29.42 | | | (81) ~ m1_subset_1(all_538_0, all_102_0) % 212.52/29.42 | | | % 212.52/29.42 | | | PRED_UNIFY: (67), (81) imply: % 212.52/29.42 | | | (82) $false % 212.52/29.42 | | | % 212.52/29.42 | | | CLOSE: (82) is inconsistent. % 212.52/29.42 | | | % 212.52/29.42 | | Case 2: % 212.52/29.42 | | | % 212.52/29.42 | | | (83) m1_subset_1(all_538_0, all_149_0) % 212.52/29.42 | | | (84) ~ m1_subset_1(all_64_1, all_149_0) | r1_orders_2(all_102_1, % 212.52/29.42 | | | all_64_1, all_538_0) % 212.52/29.42 | | | % 212.52/29.42 | | | BETA: splitting (84) gives: % 212.52/29.42 | | | % 212.52/29.42 | | | Case 1: % 212.52/29.42 | | | | % 212.52/29.42 | | | | (85) ~ m1_subset_1(all_64_1, all_149_0) % 212.52/29.42 | | | | % 212.52/29.42 | | | | REDUCE: (4), (85) imply: % 212.52/29.42 | | | | (86) ~ m1_subset_1(all_64_1, all_102_0) % 212.52/29.42 | | | | % 212.52/29.42 | | | | PRED_UNIFY: (62), (86) imply: % 212.52/29.42 | | | | (87) $false % 212.52/29.42 | | | | % 212.52/29.42 | | | | CLOSE: (87) is inconsistent. % 212.52/29.42 | | | | % 212.52/29.42 | | | Case 2: % 212.52/29.42 | | | | % 212.52/29.42 | | | | (88) m1_subset_1(all_64_1, all_149_0) % 212.52/29.42 | | | | (89) r1_orders_2(all_102_1, all_64_1, all_538_0) % 212.52/29.42 | | | | % 212.52/29.42 | | | | GROUND_INST: instantiating (30) with all_860_0, simplifying with (76), % 212.52/29.42 | | | | (78) gives: % 212.52/29.42 | | | | (90) m1_subset_1(all_860_0, all_139_0) % 212.52/29.42 | | | | % 212.52/29.42 | | | | GROUND_INST: instantiating (9) with all_64_1, all_538_0, simplifying % 212.52/29.42 | | | | with (25), (32), (34), (47), (62), (67), (89) gives: % 212.52/29.42 | | | | (91) ~ m1_subset_1(all_64_5, all_96_0) | r2_hidden(all_538_0, % 212.52/29.42 | | | | all_64_6) % 212.52/29.42 | | | | % 212.52/29.42 | | | | REDUCE: (16), (90) imply: % 212.52/29.42 | | | | (92) m1_subset_1(all_860_0, all_102_0) % 212.52/29.42 | | | | % 212.52/29.42 | | | | BETA: splitting (91) gives: % 212.52/29.42 | | | | % 212.52/29.42 | | | | Case 1: % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | (93) ~ m1_subset_1(all_64_5, all_96_0) % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | REDUCE: (39), (93) imply: % 212.52/29.42 | | | | | (94) ~ m1_subset_1(all_64_5, all_64_8) % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | PRED_UNIFY: (12), (94) imply: % 212.52/29.42 | | | | | (95) $false % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | CLOSE: (95) is inconsistent. % 212.52/29.42 | | | | | % 212.52/29.42 | | | | Case 2: % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | (96) r2_hidden(all_538_0, all_64_6) % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | BETA: splitting (65) gives: % 212.52/29.42 | | | | | % 212.52/29.42 | | | | | Case 1: % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | (97) all_574_0 = all_64_0 % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | REDUCE: (23), (97) imply: % 212.52/29.42 | | | | | | (98) ~ r1_orders_2(all_64_7, all_64_1, all_64_0) % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | PRED_UNIFY: (3), (98) imply: % 212.52/29.42 | | | | | | (99) $false % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | CLOSE: (99) is inconsistent. % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | Case 2: % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | GROUND_INST: instantiating (20) with all_64_1, all_860_0, % 212.52/29.42 | | | | | | simplifying with (44), (47), (58), (59), (73), (76), % 212.52/29.42 | | | | | | (79) gives: % 212.52/29.42 | | | | | | (100) ~ m1_subset_1(all_860_0, all_149_0) | ~ % 212.52/29.42 | | | | | | m1_subset_1(all_64_1, all_149_0) | r1_orders_2(all_102_1, % 212.52/29.42 | | | | | | all_64_1, all_860_0) % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | GROUND_INST: instantiating (48) with all_538_0, all_64_6, % 212.52/29.42 | | | | | | simplifying with (32), (42), (96) gives: % 212.52/29.42 | | | | | | (101) m1_subset_1(all_538_0, all_64_6) % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | BETA: splitting (100) gives: % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | | Case 1: % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | (102) ~ m1_subset_1(all_860_0, all_149_0) % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | REDUCE: (4), (102) imply: % 212.52/29.42 | | | | | | | (103) ~ m1_subset_1(all_860_0, all_102_0) % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | PRED_UNIFY: (92), (103) imply: % 212.52/29.42 | | | | | | | (104) $false % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | CLOSE: (104) is inconsistent. % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | Case 2: % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | (105) ~ m1_subset_1(all_64_1, all_149_0) | % 212.52/29.42 | | | | | | | r1_orders_2(all_102_1, all_64_1, all_860_0) % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | BETA: splitting (105) gives: % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | | Case 1: % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | (106) ~ m1_subset_1(all_64_1, all_149_0) % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | REDUCE: (4), (106) imply: % 212.52/29.42 | | | | | | | | (107) ~ m1_subset_1(all_64_1, all_102_0) % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | PRED_UNIFY: (62), (107) imply: % 212.52/29.42 | | | | | | | | (108) $false % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | CLOSE: (108) is inconsistent. % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | Case 2: % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | GROUND_INST: instantiating (38) with all_64_10, all_64_9, % 212.52/29.42 | | | | | | | | all_64_7, all_64_6, all_64_2, all_538_0, % 212.52/29.42 | | | | | | | | simplifying with (2), (8), (10), (15), (17), (21), % 212.52/29.42 | | | | | | | | (26), (27), (32), (37), (44), (45), (46), (49), % 212.52/29.42 | | | | | | | | (54), (57), (59), (101) gives: % 212.52/29.42 | | | | | | | | (109) r1_orders_2(all_64_7, all_64_2, all_538_0) % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | GROUND_INST: instantiating (38) with all_64_10, all_64_9, % 212.52/29.42 | | | | | | | | all_64_7, all_64_6, all_64_3, all_538_0, % 212.52/29.42 | | | | | | | | simplifying with (2), (5), (8), (10), (15), (17), % 212.52/29.42 | | | | | | | | (21), (26), (32), (37), (43), (44), (46), (50), % 212.52/29.42 | | | | | | | | (54), (59), (60), (101) gives: % 212.52/29.42 | | | | | | | | (110) r1_orders_2(all_64_7, all_64_3, all_538_0) % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | GROUND_INST: instantiating (40) with all_64_7, all_64_6, % 212.52/29.42 | | | | | | | | all_64_3, all_64_2, all_64_0, all_538_0, % 212.52/29.42 | | | | | | | | simplifying with (2), (6), (27), (29), (32), (37), % 212.52/29.42 | | | | | | | | (43), (45), (46), (52), (55), (56), (60), (101), % 212.52/29.42 | | | | | | | | (109), (110) gives: % 212.52/29.42 | | | | | | | | (111) r1_orders_2(all_64_7, all_64_0, all_538_0) % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | GROUND_INST: instantiating (61) with all_64_10, all_64_9, % 212.52/29.42 | | | | | | | | all_64_7, all_64_6, all_64_0, all_538_0, % 212.52/29.42 | | | | | | | | simplifying with (2), (8), (10), (13), (15), (17), % 212.52/29.42 | | | | | | | | (21), (26), (29), (32), (37), (44), (46), (51), % 212.52/29.42 | | | | | | | | (52), (54), (59), (101), (111) gives: % 212.52/29.42 | | | | | | | | (112) $false % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | | CLOSE: (112) is inconsistent. % 212.52/29.42 | | | | | | | | % 212.52/29.42 | | | | | | | End of split % 212.52/29.42 | | | | | | | % 212.52/29.42 | | | | | | End of split % 212.52/29.42 | | | | | | % 212.52/29.42 | | | | | End of split % 212.52/29.42 | | | | | % 212.52/29.42 | | | | End of split % 212.52/29.42 | | | | % 212.52/29.43 | | | End of split % 212.52/29.43 | | | % 212.52/29.43 | | End of split % 212.52/29.43 | | % 212.52/29.43 | End of split % 212.52/29.43 | % 212.52/29.43 End of proof % 212.52/29.43 % SZS output end Proof for theBenchmark % 212.52/29.43 % 212.52/29.43 28820ms %------------------------------------------------------------------------------