TSTP Solution File: LAT338+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT338+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 : n004.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 06:24:54 EDT 2023
% Result : Theorem 154.93s 21.07s
% Output : Proof 156.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 06:21:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.34/1.33 Prover 1: Preprocessing ...
% 4.34/1.34 Prover 4: Preprocessing ...
% 4.34/1.37 Prover 3: Preprocessing ...
% 4.34/1.37 Prover 0: Preprocessing ...
% 4.34/1.38 Prover 6: Preprocessing ...
% 4.34/1.38 Prover 2: Preprocessing ...
% 4.34/1.38 Prover 5: Preprocessing ...
% 11.12/2.24 Prover 1: Warning: ignoring some quantifiers
% 12.07/2.35 Prover 5: Proving ...
% 12.07/2.35 Prover 2: Proving ...
% 12.07/2.37 Prover 1: Constructing countermodel ...
% 12.07/2.39 Prover 3: Warning: ignoring some quantifiers
% 12.07/2.39 Prover 6: Proving ...
% 12.78/2.41 Prover 3: Constructing countermodel ...
% 13.37/2.57 Prover 4: Warning: ignoring some quantifiers
% 14.23/2.68 Prover 4: Constructing countermodel ...
% 17.22/3.04 Prover 0: Proving ...
% 74.35/10.43 Prover 2: stopped
% 74.35/10.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 74.60/10.57 Prover 7: Preprocessing ...
% 76.52/10.71 Prover 7: Warning: ignoring some quantifiers
% 76.52/10.73 Prover 7: Constructing countermodel ...
% 101.37/13.96 Prover 5: stopped
% 101.37/13.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 102.32/14.09 Prover 8: Preprocessing ...
% 103.71/14.28 Prover 8: Warning: ignoring some quantifiers
% 103.71/14.30 Prover 8: Constructing countermodel ...
% 116.66/15.99 Prover 1: stopped
% 116.92/16.00 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 117.96/16.15 Prover 9: Preprocessing ...
% 121.84/16.67 Prover 9: Warning: ignoring some quantifiers
% 121.84/16.68 Prover 9: Constructing countermodel ...
% 130.54/17.90 Prover 6: stopped
% 130.54/17.91 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 132.47/18.04 Prover 10: Preprocessing ...
% 133.13/18.16 Prover 10: Warning: ignoring some quantifiers
% 133.13/18.17 Prover 10: Constructing countermodel ...
% 134.93/18.37 Prover 10: gave up
% 134.93/18.37 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 135.49/18.46 Prover 11: Preprocessing ...
% 138.60/18.84 Prover 11: Warning: ignoring some quantifiers
% 138.95/18.87 Prover 11: Constructing countermodel ...
% 154.03/20.88 Prover 7: Found proof (size 456)
% 154.03/20.88 Prover 7: proved (10362ms)
% 154.03/20.89 Prover 0: stopped
% 154.03/20.89 Prover 4: stopped
% 154.03/20.89 Prover 11: stopped
% 154.03/20.89 Prover 8: stopped
% 154.03/20.89 Prover 3: stopped
% 154.03/20.89 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 154.29/20.93 Prover 12: Preprocessing ...
% 154.47/21.00 Prover 12: stopped
% 154.93/21.07 Prover 9: stopped
% 154.93/21.07
% 154.93/21.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 154.93/21.07
% 155.07/21.12 % SZS output start Proof for theBenchmark
% 155.07/21.12 Assumptions after simplification:
% 155.07/21.12 ---------------------------------
% 155.07/21.12
% 155.07/21.12 (abstractness_v3_lattices)
% 155.07/21.15 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.15 v3_lattices(v0) | ~ l3_lattices(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.15 (u1_struct_0(v0) = v2 & u2_lattices(v0) = v3 & g3_lattices(v2, v3, v1) = v0
% 155.07/21.15 & $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) =
% 155.07/21.15 v1) | ~ $i(v0) | ~ v3_lattices(v0) | ~ l3_lattices(v0) | ? [v2: $i] :
% 155.07/21.15 ? [v3: $i] : (u1_lattices(v0) = v3 & u2_lattices(v0) = v2 & g3_lattices(v1,
% 155.07/21.15 v2, v3) = v0 & $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 155.07/21.15 (u2_lattices(v0) = v1) | ~ $i(v0) | ~ v3_lattices(v0) | ~ l3_lattices(v0)
% 155.07/21.15 | ? [v2: $i] : ? [v3: $i] : (u1_lattices(v0) = v3 & u1_struct_0(v0) = v2 &
% 155.07/21.15 g3_lattices(v2, v1, v3) = v0 & $i(v3) & $i(v2)))
% 155.07/21.15
% 155.07/21.15 (cc4_lattices)
% 155.07/21.15 ! [v0: $i] : ( ~ $i(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) |
% 155.07/21.15 v14_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 155.07/21.15 v15_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 155.07/21.15
% 155.07/21.15 (d22_lattice3)
% 155.07/21.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k16_lattice3(v0, v1) = v2) | ~
% 155.07/21.16 $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] :
% 155.07/21.16 (a_2_1_lattice3(v0, v1) = v3 & k15_lattice3(v0, v3) = v2 & $i(v3) & $i(v2)))
% 155.07/21.16 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (a_2_1_lattice3(v0, v1) = v2)
% 155.07/21.16 | ~ $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | v3_struct_0(v0) | ? [v3: $i]
% 155.07/21.16 : (k16_lattice3(v0, v1) = v3 & k15_lattice3(v0, v2) = v3 & $i(v3)))
% 155.07/21.16
% 155.07/21.16 (d23_conlat_1)
% 155.07/21.17 ! [v0: $i] : ! [v1: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.17 l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 155.07/21.17 : (k11_conlat_1(v0) = v2 & k10_conlat_1(v0) = v3 & k9_conlat_1(v0) = v4 &
% 155.07/21.17 g3_lattices(v1, v3, v4) = v2 & $i(v4) & $i(v3) & $i(v2))) & ! [v0: $i] :
% 155.07/21.17 ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.17 v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k8_conlat_1(v0)
% 155.07/21.17 = v2 & k10_conlat_1(v0) = v3 & k9_conlat_1(v0) = v4 & g3_lattices(v2, v3,
% 155.07/21.17 v4) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1:
% 155.07/21.17 $i] : ( ~ (k10_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.17 v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k8_conlat_1(v0)
% 155.07/21.17 = v3 & k11_conlat_1(v0) = v2 & k9_conlat_1(v0) = v4 & g3_lattices(v3, v1,
% 155.07/21.17 v4) = v2 & $i(v4) & $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 155.07/21.17 (k9_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) | v3_conlat_1(v0) |
% 155.07/21.17 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k8_conlat_1(v0) = v3 &
% 155.07/21.17 k11_conlat_1(v0) = v2 & k10_conlat_1(v0) = v4 & g3_lattices(v3, v4, v1) =
% 155.07/21.17 v2 & $i(v4) & $i(v3) & $i(v2)))
% 155.07/21.17
% 155.07/21.17 (dt_k10_conlat_1)
% 155.07/21.17 ! [v0: $i] : ! [v1: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.17 l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.17 (k10_conlat_1(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & $i(v3) & $i(v2) &
% 155.07/21.17 m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & !
% 155.07/21.17 [v0: $i] : ! [v1: $i] : ( ~ (k10_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.17 l2_conlat_1(v0) | v1_funct_1(v1) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1:
% 155.07/21.17 $i] : ( ~ (k10_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.17 v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] : (k8_conlat_1(v0) = v2 &
% 155.07/21.17 k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) & m2_relset_1(v1, v3, v2) &
% 155.07/21.17 v1_funct_2(v1, v3, v2)))
% 155.07/21.17
% 155.07/21.17 (dt_k11_conlat_1)
% 155.07/21.17 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.17 v3_struct_0(v1) | ~ l2_conlat_1(v0) | v3_conlat_1(v0)) & ! [v0: $i] : !
% 155.07/21.17 [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.17 v3_lattices(v1) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 155.07/21.17 (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) | l3_lattices(v1) |
% 155.07/21.17 v3_conlat_1(v0))
% 155.07/21.17
% 155.07/21.17 (dt_k15_lattice3)
% 155.07/21.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k15_lattice3(v0, v1) = v2) | ~
% 155.07/21.17 $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] :
% 155.07/21.17 (u1_struct_0(v0) = v3 & $i(v3) & m1_subset_1(v2, v3)))
% 155.07/21.17
% 155.07/21.17 (dt_k16_lattice3)
% 155.07/21.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k16_lattice3(v0, v1) = v2) | ~
% 155.07/21.17 $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] :
% 155.07/21.17 (u1_struct_0(v0) = v3 & $i(v3) & m1_subset_1(v2, v3)))
% 155.07/21.17
% 155.07/21.17 (dt_k9_conlat_1)
% 155.07/21.18 ! [v0: $i] : ! [v1: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.18 l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.18 (k9_conlat_1(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & $i(v3) & $i(v2) &
% 155.07/21.18 m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & !
% 155.07/21.18 [v0: $i] : ! [v1: $i] : ( ~ (k9_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.18 l2_conlat_1(v0) | v1_funct_1(v1) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1:
% 155.07/21.18 $i] : ( ~ (k9_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.18 v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] : (k8_conlat_1(v0) = v2 &
% 155.07/21.18 k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) & m2_relset_1(v1, v3, v2) &
% 155.07/21.18 v1_funct_2(v1, v3, v2)))
% 155.07/21.18
% 155.07/21.18 (dt_l2_lattices)
% 155.07/21.18 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0))
% 155.07/21.18
% 155.07/21.18 (dt_l3_lattices)
% 155.07/21.18 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i]
% 155.07/21.18 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 155.07/21.18
% 155.07/21.18 (dt_u1_lattices)
% 155.07/21.18 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.18 l1_lattices(v0) | v1_funct_1(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 155.07/21.18 (u1_lattices(v0) = v1) | ~ $i(v0) | ~ l1_lattices(v0) | ? [v2: $i] : ?
% 155.07/21.18 [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & $i(v3) &
% 155.07/21.18 $i(v2) & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0: $i]
% 155.07/21.18 : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_lattices(v0) |
% 155.07/21.18 ? [v2: $i] : ? [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2
% 155.07/21.18 & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) &
% 155.07/21.18 v1_funct_1(v2)))
% 155.07/21.18
% 155.07/21.18 (dt_u2_lattices)
% 155.07/21.18 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.18 l2_lattices(v0) | ? [v2: $i] : ? [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 &
% 155.07/21.18 u2_lattices(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) &
% 155.07/21.18 v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : (
% 155.07/21.18 ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | v1_funct_1(v1))
% 155.07/21.18 & ! [v0: $i] : ! [v1: $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.18 l2_lattices(v0) | ? [v2: $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 &
% 155.07/21.18 u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v1, v3, v2) &
% 155.07/21.18 v1_funct_2(v1, v3, v2)))
% 155.07/21.18
% 155.07/21.18 (existence_l3_lattices)
% 155.07/21.18 ? [v0: $i] : ($i(v0) & l3_lattices(v0))
% 155.07/21.18
% 155.07/21.18 (fc1_struct_0)
% 155.07/21.18 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.18 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 155.07/21.18
% 155.07/21.18 (fc2_lattice2)
% 155.07/21.19 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.19 l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ?
% 155.07/21.19 [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & $i(v3) &
% 155.07/21.19 $i(v2) & v1_binop_1(v2, v1) & v1_relat_1(v2) & v1_funct_2(v2, v3, v1) &
% 155.07/21.19 v1_partfun1(v2, v3, v1) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : (
% 155.07/21.19 ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 155.07/21.19 v4_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1:
% 155.07/21.19 $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 155.07/21.19 v4_lattices(v0) | v3_struct_0(v0) | v1_funct_1(v1)) & ! [v0: $i] : ! [v1:
% 155.07/21.19 $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 155.07/21.19 v4_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.19 (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) &
% 155.07/21.19 v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2) & v1_partfun1(v1, v3, v2)))
% 155.07/21.19
% 155.07/21.19 (fc3_lattice2)
% 155.07/21.19 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.19 l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ?
% 155.07/21.19 [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & $i(v3) &
% 155.07/21.19 $i(v2) & v2_binop_1(v2, v1) & v1_relat_1(v2) & v1_funct_2(v2, v3, v1) &
% 155.07/21.19 v1_partfun1(v2, v3, v1) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : (
% 155.07/21.19 ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 155.07/21.19 v5_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1:
% 155.07/21.19 $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 155.07/21.19 v5_lattices(v0) | v3_struct_0(v0) | v1_funct_1(v1)) & ! [v0: $i] : ! [v1:
% 155.07/21.19 $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 155.07/21.19 v5_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.19 (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) &
% 155.07/21.19 v2_binop_1(v1, v2) & v1_funct_2(v1, v3, v2) & v1_partfun1(v1, v3, v2)))
% 155.07/21.19
% 155.07/21.19 (fc4_lattice2)
% 155.07/21.19 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.19 l1_lattices(v0) | ~ v6_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) &
% 155.07/21.19 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.19 l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | v1_funct_1(v1)) &
% 155.07/21.19 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.19 l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ?
% 155.07/21.19 [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & $i(v3) &
% 155.07/21.19 $i(v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2) & v1_partfun1(v1, v3,
% 155.07/21.19 v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 155.07/21.19 $i(v0) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.07/21.19 $i] : ? [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 &
% 155.07/21.19 $i(v3) & $i(v2) & v1_binop_1(v2, v1) & v1_relat_1(v2) & v1_funct_2(v2, v3,
% 155.07/21.19 v1) & v1_partfun1(v2, v3, v1) & v1_funct_1(v2)))
% 155.07/21.19
% 155.07/21.19 (fc5_conlat_1)
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 v3_struct_0(v1) | ~ l2_conlat_1(v0) | v3_conlat_1(v0)) & ! [v0: $i] : !
% 155.07/21.20 [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.20 v4_lattice3(v1) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 155.07/21.20 (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) | v9_lattices(v1) |
% 155.07/21.20 v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) |
% 155.07/21.20 ~ $i(v0) | ~ l2_conlat_1(v0) | v8_lattices(v1) | v3_conlat_1(v0)) & !
% 155.07/21.20 [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 l2_conlat_1(v0) | v7_lattices(v1) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1:
% 155.07/21.20 $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.20 v6_lattices(v1) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 155.07/21.20 (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) | v5_lattices(v1) |
% 155.07/21.20 v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) |
% 155.07/21.20 ~ $i(v0) | ~ l2_conlat_1(v0) | v4_lattices(v1) | v3_conlat_1(v0)) & !
% 155.07/21.20 [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 l2_conlat_1(v0) | v10_lattices(v1) | v3_conlat_1(v0)) & ! [v0: $i] : !
% 155.07/21.20 [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~ l2_conlat_1(v0) |
% 155.07/21.20 v3_lattices(v1) | v3_conlat_1(v0))
% 155.07/21.20
% 155.07/21.20 (fc5_lattice2)
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 l1_lattices(v0) | ~ v7_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) &
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | v1_funct_1(v1)) &
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ?
% 155.07/21.20 [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & $i(v3) &
% 155.07/21.20 $i(v2) & v2_binop_1(v1, v2) & v1_funct_2(v1, v3, v2) & v1_partfun1(v1, v3,
% 155.07/21.20 v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 155.07/21.20 $i(v0) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.07/21.20 $i] : ? [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 &
% 155.07/21.20 $i(v3) & $i(v2) & v2_binop_1(v2, v1) & v1_relat_1(v2) & v1_funct_2(v2, v3,
% 155.07/21.20 v1) & v1_partfun1(v2, v3, v1) & v1_funct_1(v2)))
% 155.07/21.20
% 155.07/21.20 (free_g3_lattices)
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 155.07/21.20 $i] : ! [v6: $i] : (v6 = v2 | ~ (g3_lattices(v4, v5, v6) = v3) | ~
% 155.07/21.20 (g3_lattices(v0, v1, v2) = v3) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 155.07/21.20 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ?
% 155.07/21.20 [v7: $i] : (k2_zfmisc_1(v0, v0) = v7 & $i(v7) & ( ~ v1_funct_2(v2, v7, v0) |
% 155.07/21.20 ~ v1_funct_2(v1, v7, v0) | ~ m1_relset_1(v2, v7, v0) | ~
% 155.07/21.20 m1_relset_1(v1, v7, v0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 155.07/21.20 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v1 | ~
% 155.07/21.20 (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~
% 155.07/21.20 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 155.07/21.20 v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7: $i] : (k2_zfmisc_1(v0, v0) = v7
% 155.07/21.20 & $i(v7) & ( ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0) | ~
% 155.07/21.20 m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0)))) & ! [v0: $i] :
% 155.07/21.20 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 155.07/21.20 $i] : (v4 = v0 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1,
% 155.07/21.20 v2) = v3) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) |
% 155.07/21.20 ~ $i(v0) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7: $i] :
% 155.07/21.20 (k2_zfmisc_1(v0, v0) = v7 & $i(v7) & ( ~ v1_funct_2(v2, v7, v0) | ~
% 155.07/21.20 v1_funct_2(v1, v7, v0) | ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1,
% 155.07/21.20 v7, v0))))
% 155.07/21.20
% 155.07/21.20 (rc1_subset_1)
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) |
% 155.07/21.20 v1_xboole_0(v0) | ? [v2: $i] : ($i(v2) & m1_subset_1(v2, v1) & ~
% 155.07/21.20 v1_xboole_0(v2)))
% 155.07/21.20
% 155.07/21.20 (rc5_struct_0)
% 155.07/21.20 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.20 l1_struct_0(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.20 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & m1_subset_1(v3, v2) & ~
% 155.07/21.20 v1_xboole_0(v3)))
% 155.07/21.20
% 155.07/21.20 (redefinition_m2_relset_1)
% 155.07/21.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 155.07/21.21 ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0: $i] : !
% 155.07/21.21 [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 155.07/21.21 m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 155.07/21.21
% 155.07/21.21 (t2_subset)
% 155.07/21.21 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) |
% 155.07/21.21 v1_xboole_0(v1) | r2_hidden(v0, v1))
% 155.07/21.21
% 155.07/21.21 (t35_conlat_1)
% 155.07/21.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~
% 155.07/21.21 $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ v7_conlat_1(v2, v0) | ~
% 155.07/21.21 l2_conlat_1(v0) | v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 155.07/21.21 : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) |
% 155.07/21.21 ~ l2_conlat_1(v0) | v6_conlat_1(v2, v0) | v3_conlat_1(v0)) & ! [v0: $i] :
% 155.07/21.21 ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v2) | ~ $i(v0)
% 155.07/21.21 | ~ r2_hidden(v2, v1) | ~ l2_conlat_1(v0) | l3_conlat_1(v2, v0) |
% 155.07/21.21 v3_conlat_1(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 155.07/21.21 (k8_conlat_1(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~
% 155.07/21.21 l2_conlat_1(v0) | v9_conlat_1(v2, v0) | v3_conlat_1(v0)) & ! [v0: $i] : !
% 155.07/21.21 [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v2) | ~ $i(v0) |
% 155.07/21.21 ~ v6_conlat_1(v2, v0) | ~ l3_conlat_1(v2, v0) | ~ v9_conlat_1(v2, v0) | ~
% 155.07/21.21 l2_conlat_1(v0) | r2_hidden(v2, v1) | v7_conlat_1(v2, v0) | v3_conlat_1(v0))
% 155.07/21.21
% 155.07/21.21 (t4_conlat_2)
% 155.07/21.21 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 155.07/21.21 $i] : ? [v6: $i] : (k11_conlat_1(v0) = v1 & k1_zfmisc_1(v2) = v3 &
% 155.07/21.21 u1_struct_0(v1) = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 155.07/21.21 m1_subset_1(v4, v3) & l2_conlat_1(v0) & ~ v3_conlat_1(v0) &
% 155.07/21.21 ((k16_lattice3(v1, v4) = v5 & $i(v5) & ( ~ l3_conlat_1(v5, v0) | ~
% 155.07/21.21 v9_conlat_1(v5, v0) | v7_conlat_1(v5, v0))) | (k15_lattice3(v1, v4) =
% 155.07/21.21 v6 & $i(v6) & v7_conlat_1(v6, v0)) | (k15_lattice3(v1, v4) = v6 & $i(v6)
% 155.07/21.21 & ~ l3_conlat_1(v6, v0)) | (k15_lattice3(v1, v4) = v6 & $i(v6) & ~
% 155.07/21.21 v9_conlat_1(v6, v0))))
% 155.07/21.21
% 155.07/21.21 (function-axioms)
% 155.07/21.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 155.07/21.22 | ~ (g3_conlat_1(v4, v3, v2) = v1) | ~ (g3_conlat_1(v4, v3, v2) = v0)) &
% 155.07/21.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 155.07/21.22 | ~ (g3_lattices(v4, v3, v2) = v1) | ~ (g3_lattices(v4, v3, v2) = v0)) &
% 155.07/21.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 155.07/21.22 (k16_lattice3(v3, v2) = v1) | ~ (k16_lattice3(v3, v2) = v0)) & ! [v0: $i]
% 155.07/21.22 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (a_2_1_lattice3(v3,
% 155.07/21.22 v2) = v1) | ~ (a_2_1_lattice3(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 155.07/21.22 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k15_lattice3(v3, v2) = v1)
% 155.07/21.22 | ~ (k15_lattice3(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 155.07/21.22 : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3,
% 155.07/21.22 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 155.07/21.22 = v0 | ~ (u5_conlat_1(v3, v2) = v1) | ~ (u5_conlat_1(v3, v2) = v0)) & !
% 155.07/21.22 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 155.07/21.22 (u4_conlat_1(v3, v2) = v1) | ~ (u4_conlat_1(v3, v2) = v0)) & ! [v0: $i] :
% 155.07/21.22 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k7_conlat_1(v2) = v1) | ~
% 155.07/21.22 (k7_conlat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 155.07/21.22 | ~ (u1_conlat_1(v2) = v1) | ~ (u1_conlat_1(v2) = v0)) & ! [v0: $i] : !
% 155.07/21.22 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u2_conlat_1(v2) = v1) | ~
% 155.07/21.22 (u2_conlat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 155.07/21.22 | ~ (k8_conlat_1(v2) = v1) | ~ (k8_conlat_1(v2) = v0)) & ! [v0: $i] : !
% 155.07/21.22 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k11_conlat_1(v2) = v1) | ~
% 155.07/21.22 (k11_conlat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 155.07/21.22 v0 | ~ (k10_conlat_1(v2) = v1) | ~ (k10_conlat_1(v2) = v0)) & ! [v0: $i]
% 155.07/21.22 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k9_conlat_1(v2) = v1) | ~
% 155.07/21.22 (k9_conlat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 155.07/21.22 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : !
% 155.07/21.22 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~
% 155.07/21.22 (u1_lattices(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 155.07/21.22 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0: $i] : !
% 155.07/21.22 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u2_lattices(v2) = v1) | ~
% 155.07/21.22 (u2_lattices(v2) = v0))
% 155.07/21.22
% 155.07/21.22 Further assumptions not needed in the proof:
% 155.07/21.22 --------------------------------------------
% 155.07/21.22 abstractness_v6_conlat_1, antisymmetry_r2_hidden, cc1_funct_2, cc1_lattices,
% 155.07/21.22 cc1_relset_1, cc2_conlat_1, cc2_lattices, cc3_lattices, cc5_funct_2,
% 155.07/21.22 cc6_funct_2, dt_g3_conlat_1, dt_g3_lattices, dt_k1_xboole_0, dt_k1_zfmisc_1,
% 155.07/21.22 dt_k2_zfmisc_1, dt_k7_conlat_1, dt_k8_conlat_1, dt_l1_conlat_1, dt_l1_lattices,
% 155.07/21.22 dt_l1_struct_0, dt_l2_conlat_1, dt_l3_conlat_1, dt_m1_conlat_1, dt_m1_relset_1,
% 155.07/21.22 dt_m1_subset_1, dt_m2_relset_1, dt_u1_conlat_1, dt_u1_struct_0, dt_u2_conlat_1,
% 155.07/21.22 dt_u4_conlat_1, dt_u5_conlat_1, existence_l1_conlat_1, existence_l1_lattices,
% 155.07/21.22 existence_l1_struct_0, existence_l2_conlat_1, existence_l2_lattices,
% 155.07/21.22 existence_l3_conlat_1, existence_m1_conlat_1, existence_m1_relset_1,
% 155.07/21.22 existence_m1_subset_1, existence_m2_relset_1, fc1_conlat_1, fc1_conlat_2,
% 155.07/21.22 fc1_subset_1, fc1_xboole_0, fc2_conlat_1, fc3_conlat_1, fc3_lattices,
% 155.07/21.22 fc4_conlat_1, fc4_subset_1, fraenkel_a_2_1_lattice3, free_g3_conlat_1,
% 155.07/21.22 rc10_conlat_1, rc11_conlat_1, rc11_lattices, rc12_conlat_1, rc13_conlat_1,
% 155.07/21.22 rc14_conlat_1, rc1_funct_2, rc1_xboole_0, rc2_partfun1, rc2_subset_1,
% 155.07/21.22 rc2_xboole_0, rc3_lattices, rc3_struct_0, rc6_lattices, rc8_conlat_1,
% 155.07/21.22 rc9_conlat_1, rc9_lattices, redefinition_k8_conlat_1, reflexivity_r1_tarski,
% 155.07/21.22 t1_subset, t2_tarski, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole,
% 155.07/21.22 t8_boole
% 155.07/21.22
% 155.07/21.22 Those formulas are unsatisfiable:
% 155.07/21.22 ---------------------------------
% 155.07/21.22
% 155.07/21.22 Begin of proof
% 155.07/21.22 |
% 155.07/21.22 | ALPHA: (abstractness_v3_lattices) implies:
% 155.07/21.22 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.22 | v3_lattices(v0) | ~ l3_lattices(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.22 | (u1_lattices(v0) = v3 & u2_lattices(v0) = v2 & g3_lattices(v1, v2,
% 155.07/21.22 | v3) = v0 & $i(v3) & $i(v2)))
% 155.07/21.22 |
% 155.07/21.22 | ALPHA: (cc4_lattices) implies:
% 155.07/21.22 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) |
% 155.07/21.22 | v13_lattices(v0) | v3_struct_0(v0))
% 155.07/21.22 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) |
% 155.07/21.22 | v14_lattices(v0) | v3_struct_0(v0))
% 155.07/21.22 |
% 155.07/21.22 | ALPHA: (d22_lattice3) implies:
% 155.07/21.23 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k16_lattice3(v0, v1) =
% 155.07/21.23 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | v3_struct_0(v0)
% 155.07/21.23 | | ? [v3: $i] : (a_2_1_lattice3(v0, v1) = v3 & k15_lattice3(v0, v3) =
% 155.07/21.23 | v2 & $i(v3) & $i(v2)))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (d23_conlat_1) implies:
% 155.07/21.23 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.07/21.23 | ~ l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 155.07/21.23 | [v4: $i] : (k8_conlat_1(v0) = v2 & k10_conlat_1(v0) = v3 &
% 155.07/21.23 | k9_conlat_1(v0) = v4 & g3_lattices(v2, v3, v4) = v1 & $i(v4) &
% 155.07/21.23 | $i(v3) & $i(v2) & $i(v1)))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (dt_k10_conlat_1) implies:
% 155.07/21.23 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (k10_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.07/21.23 | ~ l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.23 | (k8_conlat_1(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) &
% 155.07/21.23 | m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 155.07/21.23 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.23 | l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.23 | (k10_conlat_1(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & $i(v3) & $i(v2) &
% 155.07/21.23 | m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (dt_k11_conlat_1) implies:
% 155.07/21.23 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.07/21.23 | ~ l2_conlat_1(v0) | l3_lattices(v1) | v3_conlat_1(v0))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (dt_k9_conlat_1) implies:
% 155.07/21.23 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 155.07/21.23 | l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.23 | (k8_conlat_1(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) &
% 155.07/21.23 | m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 155.07/21.23 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.07/21.23 | ~ l2_conlat_1(v0) | v3_conlat_1(v0) | ? [v2: $i] : ? [v3: $i] :
% 155.07/21.23 | (k9_conlat_1(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & $i(v3) & $i(v2) &
% 155.07/21.23 | m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) &
% 155.07/21.23 | v1_funct_1(v2)))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (dt_l3_lattices) implies:
% 155.07/21.23 | (11) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 155.07/21.23 | (12) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (dt_u1_lattices) implies:
% 155.07/21.23 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) |
% 155.07/21.23 | ~ l1_lattices(v0) | ? [v2: $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2)
% 155.07/21.23 | = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v1,
% 155.07/21.23 | v3, v2) & v1_funct_2(v1, v3, v2)))
% 155.07/21.23 |
% 155.07/21.23 | ALPHA: (dt_u2_lattices) implies:
% 155.07/21.23 | (14) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) |
% 155.07/21.23 | ~ l2_lattices(v0) | ? [v2: $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2)
% 155.07/21.23 | = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v1,
% 155.07/21.23 | v3, v2) & v1_funct_2(v1, v3, v2)))
% 155.41/21.24 |
% 155.41/21.24 | ALPHA: (fc2_lattice2) implies:
% 155.41/21.24 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) |
% 155.41/21.24 | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.41/21.24 | $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) =
% 155.41/21.24 | v2 & $i(v3) & $i(v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)
% 155.41/21.24 | & v1_partfun1(v1, v3, v2)))
% 155.41/21.24 |
% 155.41/21.24 | ALPHA: (fc3_lattice2) implies:
% 155.41/21.24 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) |
% 155.41/21.24 | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.41/21.24 | $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) =
% 155.41/21.24 | v2 & $i(v3) & $i(v2) & v2_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)
% 155.41/21.24 | & v1_partfun1(v1, v3, v2)))
% 155.41/21.24 |
% 155.41/21.24 | ALPHA: (fc4_lattice2) implies:
% 155.41/21.24 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) |
% 155.41/21.24 | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.41/21.24 | $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) =
% 155.41/21.24 | v2 & $i(v3) & $i(v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)
% 155.41/21.24 | & v1_partfun1(v1, v3, v2)))
% 155.41/21.24 |
% 155.41/21.24 | ALPHA: (fc5_conlat_1) implies:
% 155.67/21.24 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ l2_conlat_1(v0) | v3_lattices(v1) | v3_conlat_1(v0))
% 155.67/21.24 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ l2_conlat_1(v0) | v4_lattices(v1) | v3_conlat_1(v0))
% 155.67/21.24 | (20) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ l2_conlat_1(v0) | v5_lattices(v1) | v3_conlat_1(v0))
% 155.67/21.24 | (21) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ l2_conlat_1(v0) | v6_lattices(v1) | v3_conlat_1(v0))
% 155.67/21.24 | (22) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ l2_conlat_1(v0) | v7_lattices(v1) | v3_conlat_1(v0))
% 155.67/21.24 | (23) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ v3_struct_0(v1) | ~ l2_conlat_1(v0) | v3_conlat_1(v0))
% 155.67/21.24 |
% 155.67/21.24 | ALPHA: (fc5_lattice2) implies:
% 155.67/21.24 | (24) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) |
% 155.67/21.24 | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.67/21.24 | $i] : ? [v3: $i] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) =
% 155.67/21.24 | v2 & $i(v3) & $i(v2) & v2_binop_1(v2, v1) & v1_relat_1(v2) &
% 155.67/21.24 | v1_funct_2(v2, v3, v1) & v1_partfun1(v2, v3, v1) &
% 155.67/21.24 | v1_funct_1(v2)))
% 155.67/21.25 | (25) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_lattices(v0) = v1) | ~ $i(v0) |
% 155.67/21.25 | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2:
% 155.67/21.25 | $i] : ? [v3: $i] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) =
% 155.67/21.25 | v2 & $i(v3) & $i(v2) & v2_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)
% 155.67/21.25 | & v1_partfun1(v1, v3, v2)))
% 155.67/21.25 |
% 155.67/21.25 | ALPHA: (free_g3_lattices) implies:
% 155.67/21.25 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 155.67/21.25 | ! [v5: $i] : ! [v6: $i] : (v4 = v0 | ~ (g3_lattices(v4, v5, v6) =
% 155.67/21.25 | v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ $i(v6) | ~ $i(v5) |
% 155.67/21.25 | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v1_funct_1(v2) |
% 155.67/21.25 | ~ v1_funct_1(v1) | ? [v7: $i] : (k2_zfmisc_1(v0, v0) = v7 & $i(v7)
% 155.67/21.25 | & ( ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0) | ~
% 155.67/21.25 | m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0))))
% 155.67/21.25 |
% 155.67/21.25 | ALPHA: (redefinition_m2_relset_1) implies:
% 155.67/21.25 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 155.67/21.25 | $i(v0) | ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 155.67/21.25 |
% 155.67/21.25 | ALPHA: (t35_conlat_1) implies:
% 155.67/21.25 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) |
% 155.67/21.25 | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ l2_conlat_1(v0) |
% 155.67/21.25 | v9_conlat_1(v2, v0) | v3_conlat_1(v0))
% 155.67/21.25 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) |
% 155.67/21.25 | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ l2_conlat_1(v0) |
% 155.67/21.25 | l3_conlat_1(v2, v0) | v3_conlat_1(v0))
% 155.67/21.25 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) |
% 155.67/21.25 | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ l2_conlat_1(v0) |
% 155.67/21.25 | v6_conlat_1(v2, v0) | v3_conlat_1(v0))
% 155.67/21.25 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) |
% 155.67/21.25 | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ v7_conlat_1(v2,
% 155.67/21.25 | v0) | ~ l2_conlat_1(v0) | v3_conlat_1(v0))
% 155.67/21.25 |
% 155.67/21.25 | ALPHA: (function-axioms) implies:
% 155.67/21.25 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 155.67/21.25 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 155.67/21.25 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 155.67/21.25 | (k9_conlat_1(v2) = v1) | ~ (k9_conlat_1(v2) = v0))
% 155.67/21.25 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 155.67/21.25 | (k10_conlat_1(v2) = v1) | ~ (k10_conlat_1(v2) = v0))
% 155.67/21.25 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 155.67/21.25 | (k8_conlat_1(v2) = v1) | ~ (k8_conlat_1(v2) = v0))
% 155.67/21.25 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 155.67/21.25 | (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 155.67/21.25 |
% 155.67/21.25 | DELTA: instantiating (existence_l3_lattices) with fresh symbol all_84_0 gives:
% 155.67/21.25 | (37) $i(all_84_0) & l3_lattices(all_84_0)
% 155.67/21.25 |
% 155.67/21.25 | ALPHA: (37) implies:
% 155.67/21.25 | (38) l3_lattices(all_84_0)
% 155.67/21.25 | (39) $i(all_84_0)
% 155.67/21.25 |
% 155.67/21.25 | DELTA: instantiating (t4_conlat_2) with fresh symbols all_111_0, all_111_1,
% 155.67/21.25 | all_111_2, all_111_3, all_111_4, all_111_5, all_111_6 gives:
% 155.67/21.26 | (40) k11_conlat_1(all_111_6) = all_111_5 & k1_zfmisc_1(all_111_4) =
% 155.67/21.26 | all_111_3 & u1_struct_0(all_111_5) = all_111_4 & $i(all_111_2) &
% 155.67/21.26 | $i(all_111_3) & $i(all_111_4) & $i(all_111_5) & $i(all_111_6) &
% 155.67/21.26 | m1_subset_1(all_111_2, all_111_3) & l2_conlat_1(all_111_6) & ~
% 155.67/21.26 | v3_conlat_1(all_111_6) & ((k16_lattice3(all_111_5, all_111_2) =
% 155.67/21.26 | all_111_1 & $i(all_111_1) & ( ~ l3_conlat_1(all_111_1, all_111_6)
% 155.67/21.26 | | ~ v9_conlat_1(all_111_1, all_111_6) | v7_conlat_1(all_111_1,
% 155.67/21.26 | all_111_6))) | (k15_lattice3(all_111_5, all_111_2) = all_111_0
% 155.67/21.26 | & $i(all_111_0) & v7_conlat_1(all_111_0, all_111_6)) |
% 155.67/21.26 | (k15_lattice3(all_111_5, all_111_2) = all_111_0 & $i(all_111_0) & ~
% 155.67/21.26 | l3_conlat_1(all_111_0, all_111_6)) | (k15_lattice3(all_111_5,
% 155.67/21.26 | all_111_2) = all_111_0 & $i(all_111_0) & ~
% 155.67/21.26 | v9_conlat_1(all_111_0, all_111_6)))
% 155.67/21.26 |
% 155.67/21.26 | ALPHA: (40) implies:
% 155.67/21.26 | (41) ~ v3_conlat_1(all_111_6)
% 155.67/21.26 | (42) l2_conlat_1(all_111_6)
% 155.67/21.26 | (43) $i(all_111_6)
% 155.67/21.26 | (44) $i(all_111_4)
% 155.67/21.26 | (45) $i(all_111_2)
% 155.67/21.26 | (46) u1_struct_0(all_111_5) = all_111_4
% 155.67/21.26 | (47) k1_zfmisc_1(all_111_4) = all_111_3
% 155.67/21.26 | (48) k11_conlat_1(all_111_6) = all_111_5
% 155.67/21.26 | (49) (k16_lattice3(all_111_5, all_111_2) = all_111_1 & $i(all_111_1) & ( ~
% 155.67/21.26 | l3_conlat_1(all_111_1, all_111_6) | ~ v9_conlat_1(all_111_1,
% 155.67/21.26 | all_111_6) | v7_conlat_1(all_111_1, all_111_6))) |
% 155.67/21.26 | (k15_lattice3(all_111_5, all_111_2) = all_111_0 & $i(all_111_0) &
% 155.67/21.26 | v7_conlat_1(all_111_0, all_111_6)) | (k15_lattice3(all_111_5,
% 155.67/21.26 | all_111_2) = all_111_0 & $i(all_111_0) & ~ l3_conlat_1(all_111_0,
% 155.67/21.26 | all_111_6)) | (k15_lattice3(all_111_5, all_111_2) = all_111_0 &
% 155.67/21.26 | $i(all_111_0) & ~ v9_conlat_1(all_111_0, all_111_6))
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (3) with all_84_0, simplifying with (38), (39)
% 155.67/21.26 | gives:
% 155.67/21.26 | (50) ~ v15_lattices(all_84_0) | v14_lattices(all_84_0) |
% 155.67/21.26 | v3_struct_0(all_84_0)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (2) with all_84_0, simplifying with (38), (39)
% 155.67/21.26 | gives:
% 155.67/21.26 | (51) ~ v15_lattices(all_84_0) | v13_lattices(all_84_0) |
% 155.67/21.26 | v3_struct_0(all_84_0)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (rc1_subset_1) with all_111_4, all_111_3,
% 155.67/21.26 | simplifying with (44), (47) gives:
% 155.67/21.26 | (52) v1_xboole_0(all_111_4) | ? [v0: $i] : ($i(v0) & m1_subset_1(v0,
% 155.67/21.26 | all_111_3) & ~ v1_xboole_0(v0))
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (22) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (53) v7_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (21) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (54) v6_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (20) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (55) v5_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (19) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (56) v4_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (18) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (57) v3_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (8) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (58) l3_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (5) with all_111_6, all_111_5, simplifying with
% 155.67/21.26 | (41), (42), (43), (48) gives:
% 155.67/21.26 | (59) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k8_conlat_1(all_111_6) = v0
% 155.67/21.26 | & k10_conlat_1(all_111_6) = v1 & k9_conlat_1(all_111_6) = v2 &
% 155.67/21.26 | g3_lattices(v0, v1, v2) = all_111_5 & $i(v2) & $i(v1) & $i(v0) &
% 155.67/21.26 | $i(all_111_5))
% 155.67/21.26 |
% 155.67/21.26 | DELTA: instantiating (59) with fresh symbols all_135_0, all_135_1, all_135_2
% 155.67/21.26 | gives:
% 155.67/21.26 | (60) k8_conlat_1(all_111_6) = all_135_2 & k10_conlat_1(all_111_6) =
% 155.67/21.26 | all_135_1 & k9_conlat_1(all_111_6) = all_135_0 &
% 155.67/21.26 | g3_lattices(all_135_2, all_135_1, all_135_0) = all_111_5 &
% 155.67/21.26 | $i(all_135_0) & $i(all_135_1) & $i(all_135_2) & $i(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | ALPHA: (60) implies:
% 155.67/21.26 | (61) $i(all_111_5)
% 155.67/21.26 | (62) g3_lattices(all_135_2, all_135_1, all_135_0) = all_111_5
% 155.67/21.26 | (63) k9_conlat_1(all_111_6) = all_135_0
% 155.67/21.26 | (64) k10_conlat_1(all_111_6) = all_135_1
% 155.67/21.26 | (65) k8_conlat_1(all_111_6) = all_135_2
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (12) with all_111_5, simplifying with (58), (61)
% 155.67/21.26 | gives:
% 155.67/21.26 | (66) l2_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (11) with all_111_5, simplifying with (58), (61)
% 155.67/21.26 | gives:
% 155.67/21.26 | (67) l1_lattices(all_111_5)
% 155.67/21.26 |
% 155.67/21.26 | GROUND_INST: instantiating (1) with all_111_5, all_111_4, simplifying with
% 155.67/21.26 | (46), (57), (58), (61) gives:
% 155.67/21.27 | (68) ? [v0: $i] : ? [v1: $i] : (u1_lattices(all_111_5) = v1 &
% 155.67/21.27 | u2_lattices(all_111_5) = v0 & g3_lattices(all_111_4, v0, v1) =
% 155.67/21.27 | all_111_5 & $i(v1) & $i(v0))
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (9) with all_111_6, all_135_0, simplifying with
% 155.67/21.27 | (41), (42), (43), (63) gives:
% 155.67/21.27 | (69) ? [v0: $i] : ? [v1: $i] : (k8_conlat_1(all_111_6) = v0 &
% 155.67/21.27 | k2_zfmisc_1(v0, v0) = v1 & $i(v1) & $i(v0) & m2_relset_1(all_135_0,
% 155.67/21.27 | v1, v0) & v1_funct_2(all_135_0, v1, v0))
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (6) with all_111_6, all_135_1, simplifying with
% 155.67/21.27 | (41), (42), (43), (64) gives:
% 155.67/21.27 | (70) ? [v0: $i] : ? [v1: $i] : (k8_conlat_1(all_111_6) = v0 &
% 155.67/21.27 | k2_zfmisc_1(v0, v0) = v1 & $i(v1) & $i(v0) & m2_relset_1(all_135_1,
% 155.67/21.27 | v1, v0) & v1_funct_2(all_135_1, v1, v0))
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (7) with all_111_6, all_135_2, simplifying with
% 155.67/21.27 | (41), (42), (43), (65) gives:
% 155.67/21.27 | (71) ? [v0: $i] : ? [v1: $i] : (k10_conlat_1(all_111_6) = v0 &
% 155.67/21.27 | k2_zfmisc_1(all_135_2, all_135_2) = v1 & $i(v1) & $i(v0) &
% 155.67/21.27 | m2_relset_1(v0, v1, all_135_2) & v1_funct_2(v0, v1, all_135_2) &
% 155.67/21.27 | v1_funct_1(v0))
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (10) with all_111_6, all_135_2, simplifying with
% 155.67/21.27 | (41), (42), (43), (65) gives:
% 155.67/21.27 | (72) ? [v0: $i] : ? [v1: $i] : (k9_conlat_1(all_111_6) = v0 &
% 155.67/21.27 | k2_zfmisc_1(all_135_2, all_135_2) = v1 & $i(v1) & $i(v0) &
% 155.67/21.27 | m2_relset_1(v0, v1, all_135_2) & v1_funct_2(v0, v1, all_135_2) &
% 155.67/21.27 | v1_funct_1(v0))
% 155.67/21.27 |
% 155.67/21.27 | DELTA: instantiating (68) with fresh symbols all_159_0, all_159_1 gives:
% 155.67/21.27 | (73) u1_lattices(all_111_5) = all_159_0 & u2_lattices(all_111_5) =
% 155.67/21.27 | all_159_1 & g3_lattices(all_111_4, all_159_1, all_159_0) = all_111_5 &
% 155.67/21.27 | $i(all_159_0) & $i(all_159_1)
% 155.67/21.27 |
% 155.67/21.27 | ALPHA: (73) implies:
% 155.67/21.27 | (74) $i(all_159_1)
% 155.67/21.27 | (75) $i(all_159_0)
% 155.67/21.27 | (76) g3_lattices(all_111_4, all_159_1, all_159_0) = all_111_5
% 155.67/21.27 | (77) u2_lattices(all_111_5) = all_159_1
% 155.67/21.27 | (78) u1_lattices(all_111_5) = all_159_0
% 155.67/21.27 |
% 155.67/21.27 | DELTA: instantiating (70) with fresh symbols all_161_0, all_161_1 gives:
% 155.67/21.27 | (79) k8_conlat_1(all_111_6) = all_161_1 & k2_zfmisc_1(all_161_1, all_161_1)
% 155.67/21.27 | = all_161_0 & $i(all_161_0) & $i(all_161_1) & m2_relset_1(all_135_1,
% 155.67/21.27 | all_161_0, all_161_1) & v1_funct_2(all_135_1, all_161_0, all_161_1)
% 155.67/21.27 |
% 155.67/21.27 | ALPHA: (79) implies:
% 155.67/21.27 | (80) $i(all_161_1)
% 155.67/21.27 | (81) k2_zfmisc_1(all_161_1, all_161_1) = all_161_0
% 155.67/21.27 | (82) k8_conlat_1(all_111_6) = all_161_1
% 155.67/21.27 |
% 155.67/21.27 | DELTA: instantiating (69) with fresh symbols all_163_0, all_163_1 gives:
% 155.67/21.27 | (83) k8_conlat_1(all_111_6) = all_163_1 & k2_zfmisc_1(all_163_1, all_163_1)
% 155.67/21.27 | = all_163_0 & $i(all_163_0) & $i(all_163_1) & m2_relset_1(all_135_0,
% 155.67/21.27 | all_163_0, all_163_1) & v1_funct_2(all_135_0, all_163_0, all_163_1)
% 155.67/21.27 |
% 155.67/21.27 | ALPHA: (83) implies:
% 155.67/21.27 | (84) v1_funct_2(all_135_0, all_163_0, all_163_1)
% 155.67/21.27 | (85) m2_relset_1(all_135_0, all_163_0, all_163_1)
% 155.67/21.27 | (86) $i(all_163_0)
% 155.67/21.27 | (87) k2_zfmisc_1(all_163_1, all_163_1) = all_163_0
% 155.67/21.27 | (88) k8_conlat_1(all_111_6) = all_163_1
% 155.67/21.27 |
% 155.67/21.27 | DELTA: instantiating (72) with fresh symbols all_165_0, all_165_1 gives:
% 155.67/21.27 | (89) k9_conlat_1(all_111_6) = all_165_1 & k2_zfmisc_1(all_135_2, all_135_2)
% 155.67/21.27 | = all_165_0 & $i(all_165_0) & $i(all_165_1) & m2_relset_1(all_165_1,
% 155.67/21.27 | all_165_0, all_135_2) & v1_funct_2(all_165_1, all_165_0, all_135_2)
% 155.67/21.27 | & v1_funct_1(all_165_1)
% 155.67/21.27 |
% 155.67/21.27 | ALPHA: (89) implies:
% 155.67/21.27 | (90) v1_funct_1(all_165_1)
% 155.67/21.27 | (91) $i(all_165_1)
% 155.67/21.27 | (92) k2_zfmisc_1(all_135_2, all_135_2) = all_165_0
% 155.67/21.27 | (93) k9_conlat_1(all_111_6) = all_165_1
% 155.67/21.27 |
% 155.67/21.27 | DELTA: instantiating (71) with fresh symbols all_167_0, all_167_1 gives:
% 155.67/21.27 | (94) k10_conlat_1(all_111_6) = all_167_1 & k2_zfmisc_1(all_135_2,
% 155.67/21.27 | all_135_2) = all_167_0 & $i(all_167_0) & $i(all_167_1) &
% 155.67/21.27 | m2_relset_1(all_167_1, all_167_0, all_135_2) & v1_funct_2(all_167_1,
% 155.67/21.27 | all_167_0, all_135_2) & v1_funct_1(all_167_1)
% 155.67/21.27 |
% 155.67/21.27 | ALPHA: (94) implies:
% 155.67/21.27 | (95) v1_funct_1(all_167_1)
% 155.67/21.27 | (96) v1_funct_2(all_167_1, all_167_0, all_135_2)
% 155.67/21.27 | (97) m2_relset_1(all_167_1, all_167_0, all_135_2)
% 155.67/21.27 | (98) $i(all_167_1)
% 155.67/21.27 | (99) k2_zfmisc_1(all_135_2, all_135_2) = all_167_0
% 155.67/21.27 | (100) k10_conlat_1(all_111_6) = all_167_1
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (36) with all_165_0, all_167_0, all_135_2,
% 155.67/21.27 | all_135_2, simplifying with (92), (99) gives:
% 155.67/21.27 | (101) all_167_0 = all_165_0
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (33) with all_135_0, all_165_1, all_111_6,
% 155.67/21.27 | simplifying with (63), (93) gives:
% 155.67/21.27 | (102) all_165_1 = all_135_0
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (34) with all_135_1, all_167_1, all_111_6,
% 155.67/21.27 | simplifying with (64), (100) gives:
% 155.67/21.27 | (103) all_167_1 = all_135_1
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (35) with all_135_2, all_163_1, all_111_6,
% 155.67/21.27 | simplifying with (65), (88) gives:
% 155.67/21.27 | (104) all_163_1 = all_135_2
% 155.67/21.27 |
% 155.67/21.27 | GROUND_INST: instantiating (35) with all_161_1, all_163_1, all_111_6,
% 155.67/21.27 | simplifying with (82), (88) gives:
% 155.67/21.27 | (105) all_163_1 = all_161_1
% 155.67/21.27 |
% 155.67/21.27 | COMBINE_EQS: (104), (105) imply:
% 155.67/21.27 | (106) all_161_1 = all_135_2
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (87), (104) imply:
% 155.67/21.27 | (107) k2_zfmisc_1(all_135_2, all_135_2) = all_163_0
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (81), (106) imply:
% 155.67/21.27 | (108) k2_zfmisc_1(all_135_2, all_135_2) = all_161_0
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (98), (103) imply:
% 155.67/21.27 | (109) $i(all_135_1)
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (91), (102) imply:
% 155.67/21.27 | (110) $i(all_135_0)
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (80), (106) imply:
% 155.67/21.27 | (111) $i(all_135_2)
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (97), (101), (103) imply:
% 155.67/21.27 | (112) m2_relset_1(all_135_1, all_165_0, all_135_2)
% 155.67/21.27 |
% 155.67/21.27 | REDUCE: (85), (104) imply:
% 155.67/21.27 | (113) m2_relset_1(all_135_0, all_163_0, all_135_2)
% 155.67/21.27 |
% 155.67/21.28 | REDUCE: (96), (101), (103) imply:
% 155.67/21.28 | (114) v1_funct_2(all_135_1, all_165_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (84), (104) imply:
% 155.67/21.28 | (115) v1_funct_2(all_135_0, all_163_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (95), (103) imply:
% 155.67/21.28 | (116) v1_funct_1(all_135_1)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (90), (102) imply:
% 155.67/21.28 | (117) v1_funct_1(all_135_0)
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (36) with all_165_0, all_161_0, all_135_2,
% 155.67/21.28 | all_135_2, simplifying with (92), (108) gives:
% 155.67/21.28 | (118) all_165_0 = all_161_0
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (36) with all_165_0, all_163_0, all_135_2,
% 155.67/21.28 | all_135_2, simplifying with (92), (107) gives:
% 155.67/21.28 | (119) all_165_0 = all_163_0
% 155.67/21.28 |
% 155.67/21.28 | COMBINE_EQS: (118), (119) imply:
% 155.67/21.28 | (120) all_163_0 = all_161_0
% 155.67/21.28 |
% 155.67/21.28 | SIMP: (120) implies:
% 155.67/21.28 | (121) all_163_0 = all_161_0
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (86), (121) imply:
% 155.67/21.28 | (122) $i(all_161_0)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (113), (121) imply:
% 155.67/21.28 | (123) m2_relset_1(all_135_0, all_161_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (112), (118) imply:
% 155.67/21.28 | (124) m2_relset_1(all_135_1, all_161_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (115), (121) imply:
% 155.67/21.28 | (125) v1_funct_2(all_135_0, all_161_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | REDUCE: (114), (118) imply:
% 155.67/21.28 | (126) v1_funct_2(all_135_1, all_161_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (27) with all_161_0, all_135_2, all_135_1,
% 155.67/21.28 | simplifying with (109), (111), (122), (124) gives:
% 155.67/21.28 | (127) m1_relset_1(all_135_1, all_161_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (27) with all_161_0, all_135_2, all_135_0,
% 155.67/21.28 | simplifying with (110), (111), (122), (123) gives:
% 155.67/21.28 | (128) m1_relset_1(all_135_0, all_161_0, all_135_2)
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (24) with all_111_5, all_111_4, simplifying with
% 155.67/21.28 | (46), (53), (61), (67) gives:
% 155.67/21.28 | (129) v3_struct_0(all_111_5) | ? [v0: $i] : ? [v1: $i] :
% 155.67/21.28 | (k2_zfmisc_1(all_111_4, all_111_4) = v1 & u1_lattices(all_111_5) = v0
% 155.67/21.28 | & $i(v1) & $i(v0) & v2_binop_1(v0, all_111_4) & v1_relat_1(v0) &
% 155.67/21.28 | v1_funct_2(v0, v1, all_111_4) & v1_partfun1(v0, v1, all_111_4) &
% 155.67/21.28 | v1_funct_1(v0))
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (dt_l2_lattices) with all_111_5, simplifying with
% 155.67/21.28 | (61), (66) gives:
% 155.67/21.28 | (130) l1_struct_0(all_111_5)
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (26) with all_135_2, all_135_1, all_135_0,
% 155.67/21.28 | all_111_5, all_111_4, all_159_1, all_159_0, simplifying with
% 155.67/21.28 | (44), (62), (74), (75), (76), (109), (110), (111), (116), (117)
% 155.67/21.28 | gives:
% 155.67/21.28 | (131) all_135_2 = all_111_4 | ? [v0: $i] : (k2_zfmisc_1(all_135_2,
% 155.67/21.28 | all_135_2) = v0 & $i(v0) & ( ~ v1_funct_2(all_135_0, v0,
% 155.67/21.28 | all_135_2) | ~ v1_funct_2(all_135_1, v0, all_135_2) | ~
% 155.67/21.28 | m1_relset_1(all_135_0, v0, all_135_2) | ~ m1_relset_1(all_135_1,
% 155.67/21.28 | v0, all_135_2)))
% 155.67/21.28 |
% 155.67/21.28 | GROUND_INST: instantiating (16) with all_111_5, all_159_1, simplifying with
% 155.67/21.28 | (55), (61), (66), (77) gives:
% 155.67/21.28 | (132) v3_struct_0(all_111_5) | ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0,
% 155.67/21.28 | v0) = v1 & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.67/21.28 | v2_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1, v0) &
% 155.67/21.28 | v1_partfun1(all_159_1, v1, v0))
% 155.86/21.28 |
% 155.86/21.28 | GROUND_INST: instantiating (15) with all_111_5, all_159_1, simplifying with
% 155.86/21.28 | (56), (61), (66), (77) gives:
% 155.86/21.28 | (133) v3_struct_0(all_111_5) | ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0,
% 155.86/21.28 | v0) = v1 & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.28 | v1_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1, v0) &
% 155.86/21.28 | v1_partfun1(all_159_1, v1, v0))
% 155.86/21.28 |
% 155.86/21.28 | GROUND_INST: instantiating (14) with all_111_5, all_159_1, simplifying with
% 155.86/21.28 | (61), (66), (77) gives:
% 155.86/21.28 | (134) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.28 | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.28 | m2_relset_1(all_159_1, v1, v0) & v1_funct_2(all_159_1, v1, v0))
% 155.86/21.28 |
% 155.86/21.28 | GROUND_INST: instantiating (25) with all_111_5, all_159_0, simplifying with
% 155.86/21.28 | (53), (61), (67), (78) gives:
% 155.86/21.28 | (135) v3_struct_0(all_111_5) | ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0,
% 155.86/21.28 | v0) = v1 & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.28 | v2_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1, v0) &
% 155.86/21.28 | v1_partfun1(all_159_0, v1, v0))
% 155.86/21.28 |
% 155.86/21.28 | GROUND_INST: instantiating (17) with all_111_5, all_159_0, simplifying with
% 155.86/21.28 | (54), (61), (67), (78) gives:
% 155.86/21.28 | (136) v3_struct_0(all_111_5) | ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0,
% 155.86/21.28 | v0) = v1 & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.28 | v1_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1, v0) &
% 155.86/21.28 | v1_partfun1(all_159_0, v1, v0))
% 155.86/21.28 |
% 155.86/21.28 | GROUND_INST: instantiating (13) with all_111_5, all_159_0, simplifying with
% 155.86/21.28 | (61), (67), (78) gives:
% 155.86/21.28 | (137) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.28 | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.28 | m2_relset_1(all_159_0, v1, v0) & v1_funct_2(all_159_0, v1, v0))
% 155.86/21.28 |
% 155.86/21.28 | DELTA: instantiating (137) with fresh symbols all_191_0, all_191_1 gives:
% 155.86/21.28 | (138) k2_zfmisc_1(all_191_1, all_191_1) = all_191_0 &
% 155.86/21.28 | u1_struct_0(all_111_5) = all_191_1 & $i(all_191_0) & $i(all_191_1) &
% 155.86/21.28 | m2_relset_1(all_159_0, all_191_0, all_191_1) & v1_funct_2(all_159_0,
% 155.86/21.28 | all_191_0, all_191_1)
% 155.86/21.28 |
% 155.86/21.28 | ALPHA: (138) implies:
% 155.86/21.28 | (139) u1_struct_0(all_111_5) = all_191_1
% 155.86/21.28 |
% 155.86/21.28 | DELTA: instantiating (134) with fresh symbols all_193_0, all_193_1 gives:
% 155.86/21.29 | (140) k2_zfmisc_1(all_193_1, all_193_1) = all_193_0 &
% 155.86/21.29 | u1_struct_0(all_111_5) = all_193_1 & $i(all_193_0) & $i(all_193_1) &
% 155.86/21.29 | m2_relset_1(all_159_1, all_193_0, all_193_1) & v1_funct_2(all_159_1,
% 155.86/21.29 | all_193_0, all_193_1)
% 155.86/21.29 |
% 155.86/21.29 | ALPHA: (140) implies:
% 155.86/21.29 | (141) u1_struct_0(all_111_5) = all_193_1
% 155.86/21.29 |
% 155.86/21.29 | BETA: splitting (131) gives:
% 155.86/21.29 |
% 155.86/21.29 | Case 1:
% 155.86/21.29 | |
% 155.86/21.29 | | (142) all_135_2 = all_111_4
% 155.86/21.29 | |
% 155.86/21.29 | | REDUCE: (65), (142) imply:
% 155.86/21.29 | | (143) k8_conlat_1(all_111_6) = all_111_4
% 155.86/21.29 | |
% 155.86/21.29 | | GROUND_INST: instantiating (32) with all_111_4, all_193_1, all_111_5,
% 155.86/21.29 | | simplifying with (46), (141) gives:
% 155.86/21.29 | | (144) all_193_1 = all_111_4
% 155.86/21.29 | |
% 155.86/21.29 | | GROUND_INST: instantiating (32) with all_191_1, all_193_1, all_111_5,
% 155.86/21.29 | | simplifying with (139), (141) gives:
% 155.86/21.29 | | (145) all_193_1 = all_191_1
% 155.86/21.29 | |
% 155.86/21.29 | | COMBINE_EQS: (144), (145) imply:
% 155.86/21.29 | | (146) all_191_1 = all_111_4
% 155.86/21.29 | |
% 155.86/21.29 | | GROUND_INST: instantiating (rc5_struct_0) with all_111_5, all_111_4,
% 155.86/21.29 | | simplifying with (46), (61), (130) gives:
% 155.86/21.29 | | (147) v3_struct_0(all_111_5) | ? [v0: $i] : ? [v1: $i] :
% 155.86/21.29 | | (k1_zfmisc_1(all_111_4) = v0 & $i(v1) & $i(v0) & m1_subset_1(v1,
% 155.86/21.29 | | v0) & ~ v1_xboole_0(v1))
% 155.86/21.29 | |
% 155.86/21.29 | | GROUND_INST: instantiating (30) with all_111_6, all_111_4, all_111_2,
% 155.86/21.29 | | simplifying with (41), (42), (43), (45), (143) gives:
% 155.86/21.29 | | (148) ~ r2_hidden(all_111_2, all_111_4) | v6_conlat_1(all_111_2,
% 155.86/21.29 | | all_111_6)
% 155.86/21.29 | |
% 155.86/21.29 | | GROUND_INST: instantiating (29) with all_111_6, all_111_4, all_111_2,
% 155.86/21.29 | | simplifying with (41), (42), (43), (45), (143) gives:
% 155.86/21.29 | | (149) ~ r2_hidden(all_111_2, all_111_4) | l3_conlat_1(all_111_2,
% 155.86/21.29 | | all_111_6)
% 155.86/21.29 | |
% 155.86/21.29 | | GROUND_INST: instantiating (28) with all_111_6, all_111_4, all_111_2,
% 155.86/21.29 | | simplifying with (41), (42), (43), (45), (143) gives:
% 155.86/21.29 | | (150) ~ r2_hidden(all_111_2, all_111_4) | v9_conlat_1(all_111_2,
% 155.86/21.29 | | all_111_6)
% 155.86/21.29 | |
% 155.86/21.29 | | BETA: splitting (52) gives:
% 155.86/21.29 | |
% 155.86/21.29 | | Case 1:
% 155.86/21.29 | | |
% 155.86/21.29 | | | (151) v1_xboole_0(all_111_4)
% 155.86/21.29 | | |
% 155.86/21.29 | | | BETA: splitting (51) gives:
% 155.86/21.29 | | |
% 155.86/21.29 | | | Case 1:
% 155.86/21.29 | | | |
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | REF_CLOSE: (23), (41), (42), (43), (46), (48), (61), (130), (151),
% 155.86/21.29 | | | | (fc1_struct_0) are inconsistent by sub-proof #2.
% 155.86/21.29 | | | |
% 155.86/21.29 | | | Case 2:
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | (152) v15_lattices(all_84_0)
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | BETA: splitting (50) gives:
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | Case 1:
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | (153) ~ v15_lattices(all_84_0)
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | PRED_UNIFY: (152), (153) imply:
% 155.86/21.29 | | | | | (154) $false
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | CLOSE: (154) is inconsistent.
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | Case 2:
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | REF_CLOSE: (23), (41), (42), (43), (46), (48), (61), (130), (151),
% 155.86/21.29 | | | | | (fc1_struct_0) are inconsistent by sub-proof #2.
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | End of split
% 155.86/21.29 | | | |
% 155.86/21.29 | | | End of split
% 155.86/21.29 | | |
% 155.86/21.29 | | Case 2:
% 155.86/21.29 | | |
% 155.86/21.29 | | | (155) ~ v1_xboole_0(all_111_4)
% 155.86/21.29 | | |
% 155.86/21.29 | | | BETA: splitting (49) gives:
% 155.86/21.29 | | |
% 155.86/21.29 | | | Case 1:
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | (156) (k16_lattice3(all_111_5, all_111_2) = all_111_1 & $i(all_111_1)
% 155.86/21.29 | | | | & ( ~ l3_conlat_1(all_111_1, all_111_6) | ~
% 155.86/21.29 | | | | v9_conlat_1(all_111_1, all_111_6) | v7_conlat_1(all_111_1,
% 155.86/21.29 | | | | all_111_6))) | (k15_lattice3(all_111_5, all_111_2) =
% 155.86/21.29 | | | | all_111_0 & $i(all_111_0) & v7_conlat_1(all_111_0,
% 155.86/21.29 | | | | all_111_6))
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | BETA: splitting (156) gives:
% 155.86/21.29 | | | |
% 155.86/21.29 | | | | Case 1:
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | (157) k16_lattice3(all_111_5, all_111_2) = all_111_1 &
% 155.86/21.29 | | | | | $i(all_111_1) & ( ~ l3_conlat_1(all_111_1, all_111_6) | ~
% 155.86/21.29 | | | | | v9_conlat_1(all_111_1, all_111_6) | v7_conlat_1(all_111_1,
% 155.86/21.29 | | | | | all_111_6))
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | ALPHA: (157) implies:
% 155.86/21.29 | | | | | (158) k16_lattice3(all_111_5, all_111_2) = all_111_1
% 155.86/21.29 | | | | | (159) ~ l3_conlat_1(all_111_1, all_111_6) | ~
% 155.86/21.29 | | | | | v9_conlat_1(all_111_1, all_111_6) | v7_conlat_1(all_111_1,
% 155.86/21.29 | | | | | all_111_6)
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | GROUND_INST: instantiating (4) with all_111_5, all_111_2, all_111_1,
% 155.86/21.29 | | | | | simplifying with (45), (58), (61), (158) gives:
% 155.86/21.29 | | | | | (160) v3_struct_0(all_111_5) | ? [v0: $i] :
% 155.86/21.29 | | | | | (a_2_1_lattice3(all_111_5, all_111_2) = v0 &
% 155.86/21.29 | | | | | k15_lattice3(all_111_5, v0) = all_111_1 & $i(v0) &
% 155.86/21.29 | | | | | $i(all_111_1))
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | GROUND_INST: instantiating (dt_k16_lattice3) with all_111_5,
% 155.86/21.29 | | | | | all_111_2, all_111_1, simplifying with (45), (58), (61),
% 155.86/21.29 | | | | | (158) gives:
% 155.86/21.29 | | | | | (161) v3_struct_0(all_111_5) | ? [v0: $i] :
% 155.86/21.29 | | | | | (u1_struct_0(all_111_5) = v0 & $i(v0) &
% 155.86/21.29 | | | | | m1_subset_1(all_111_1, v0))
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | BETA: splitting (136) gives:
% 155.86/21.29 | | | | |
% 155.86/21.29 | | | | | Case 1:
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | (162) v3_struct_0(all_111_5)
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.29 | | | | | | simplifying with (41), (42), (43), (48), (162) gives:
% 155.86/21.29 | | | | | | (163) $false
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | CLOSE: (163) is inconsistent.
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | Case 2:
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | (164) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.29 | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.29 | | | | | | v1_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1, v0)
% 155.86/21.29 | | | | | | & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | DELTA: instantiating (164) with fresh symbols all_630_0, all_630_1
% 155.86/21.29 | | | | | | gives:
% 155.86/21.29 | | | | | | (165) k2_zfmisc_1(all_630_1, all_630_1) = all_630_0 &
% 155.86/21.29 | | | | | | u1_struct_0(all_111_5) = all_630_1 & $i(all_630_0) &
% 155.86/21.29 | | | | | | $i(all_630_1) & v1_binop_1(all_159_0, all_630_1) &
% 155.86/21.29 | | | | | | v1_funct_2(all_159_0, all_630_0, all_630_1) &
% 155.86/21.29 | | | | | | v1_partfun1(all_159_0, all_630_0, all_630_1)
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | ALPHA: (165) implies:
% 155.86/21.29 | | | | | | (166) $i(all_630_1)
% 155.86/21.29 | | | | | | (167) u1_struct_0(all_111_5) = all_630_1
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | BETA: splitting (135) gives:
% 155.86/21.29 | | | | | |
% 155.86/21.29 | | | | | | Case 1:
% 155.86/21.29 | | | | | | |
% 155.86/21.30 | | | | | | | (168) v3_struct_0(all_111_5)
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.30 | | | | | | | simplifying with (41), (42), (43), (48), (168) gives:
% 155.86/21.30 | | | | | | | (169) $false
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | CLOSE: (169) is inconsistent.
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | Case 2:
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | (170) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.30 | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.30 | | | | | | | v2_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1,
% 155.86/21.30 | | | | | | | v0) & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | DELTA: instantiating (170) with fresh symbols all_636_0, all_636_1
% 155.86/21.30 | | | | | | | gives:
% 155.86/21.30 | | | | | | | (171) k2_zfmisc_1(all_636_1, all_636_1) = all_636_0 &
% 155.86/21.30 | | | | | | | u1_struct_0(all_111_5) = all_636_1 & $i(all_636_0) &
% 155.86/21.30 | | | | | | | $i(all_636_1) & v2_binop_1(all_159_0, all_636_1) &
% 155.86/21.30 | | | | | | | v1_funct_2(all_159_0, all_636_0, all_636_1) &
% 155.86/21.30 | | | | | | | v1_partfun1(all_159_0, all_636_0, all_636_1)
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | ALPHA: (171) implies:
% 155.86/21.30 | | | | | | | (172) u1_struct_0(all_111_5) = all_636_1
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | BETA: splitting (133) gives:
% 155.86/21.30 | | | | | | |
% 155.86/21.30 | | | | | | | Case 1:
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | (173) v3_struct_0(all_111_5)
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.30 | | | | | | | | simplifying with (41), (42), (43), (48), (173)
% 155.86/21.30 | | | | | | | | gives:
% 155.86/21.30 | | | | | | | | (174) $false
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | CLOSE: (174) is inconsistent.
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | Case 2:
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | (175) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.30 | | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.30 | | | | | | | | v1_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1,
% 155.86/21.30 | | | | | | | | v0) & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | DELTA: instantiating (175) with fresh symbols all_642_0,
% 155.86/21.30 | | | | | | | | all_642_1 gives:
% 155.86/21.30 | | | | | | | | (176) k2_zfmisc_1(all_642_1, all_642_1) = all_642_0 &
% 155.86/21.30 | | | | | | | | u1_struct_0(all_111_5) = all_642_1 & $i(all_642_0) &
% 155.86/21.30 | | | | | | | | $i(all_642_1) & v1_binop_1(all_159_1, all_642_1) &
% 155.86/21.30 | | | | | | | | v1_funct_2(all_159_1, all_642_0, all_642_1) &
% 155.86/21.30 | | | | | | | | v1_partfun1(all_159_1, all_642_0, all_642_1)
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | ALPHA: (176) implies:
% 155.86/21.30 | | | | | | | | (177) u1_struct_0(all_111_5) = all_642_1
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | BETA: splitting (132) gives:
% 155.86/21.30 | | | | | | | |
% 155.86/21.30 | | | | | | | | Case 1:
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | (178) v3_struct_0(all_111_5)
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.30 | | | | | | | | | simplifying with (41), (42), (43), (48), (178)
% 155.86/21.30 | | | | | | | | | gives:
% 155.86/21.30 | | | | | | | | | (179) $false
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | CLOSE: (179) is inconsistent.
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | Case 2:
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | (180) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1
% 155.86/21.30 | | | | | | | | | & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.30 | | | | | | | | | v2_binop_1(all_159_1, v0) & v1_funct_2(all_159_1,
% 155.86/21.30 | | | | | | | | | v1, v0) & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | DELTA: instantiating (180) with fresh symbols all_652_0,
% 155.86/21.30 | | | | | | | | | all_652_1 gives:
% 155.86/21.30 | | | | | | | | | (181) k2_zfmisc_1(all_652_1, all_652_1) = all_652_0 &
% 155.86/21.30 | | | | | | | | | u1_struct_0(all_111_5) = all_652_1 & $i(all_652_0) &
% 155.86/21.30 | | | | | | | | | $i(all_652_1) & v2_binop_1(all_159_1, all_652_1) &
% 155.86/21.30 | | | | | | | | | v1_funct_2(all_159_1, all_652_0, all_652_1) &
% 155.86/21.30 | | | | | | | | | v1_partfun1(all_159_1, all_652_0, all_652_1)
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | ALPHA: (181) implies:
% 155.86/21.30 | | | | | | | | | (182) u1_struct_0(all_111_5) = all_652_1
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | BETA: splitting (161) gives:
% 155.86/21.30 | | | | | | | | |
% 155.86/21.30 | | | | | | | | | Case 1:
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | (183) v3_struct_0(all_111_5)
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.30 | | | | | | | | | | simplifying with (41), (42), (43), (48), (183)
% 155.86/21.30 | | | | | | | | | | gives:
% 155.86/21.30 | | | | | | | | | | (184) $false
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | CLOSE: (184) is inconsistent.
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | Case 2:
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | (185) ? [v0: $i] : (u1_struct_0(all_111_5) = v0 & $i(v0)
% 155.86/21.30 | | | | | | | | | | & m1_subset_1(all_111_1, v0))
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | DELTA: instantiating (185) with fresh symbol all_674_0
% 155.86/21.30 | | | | | | | | | | gives:
% 155.86/21.30 | | | | | | | | | | (186) u1_struct_0(all_111_5) = all_674_0 & $i(all_674_0)
% 155.86/21.30 | | | | | | | | | | & m1_subset_1(all_111_1, all_674_0)
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | ALPHA: (186) implies:
% 155.86/21.30 | | | | | | | | | | (187) m1_subset_1(all_111_1, all_674_0)
% 155.86/21.30 | | | | | | | | | | (188) u1_struct_0(all_111_5) = all_674_0
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | BETA: splitting (160) gives:
% 155.86/21.30 | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | Case 1:
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | (189) v3_struct_0(all_111_5)
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.30 | | | | | | | | | | | simplifying with (41), (42), (43), (48), (189)
% 155.86/21.30 | | | | | | | | | | | gives:
% 155.86/21.30 | | | | | | | | | | | (190) $false
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | Case 2:
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | (191) ? [v0: $i] : (a_2_1_lattice3(all_111_5,
% 155.86/21.30 | | | | | | | | | | | all_111_2) = v0 & k15_lattice3(all_111_5, v0)
% 155.86/21.30 | | | | | | | | | | | = all_111_1 & $i(v0) & $i(all_111_1))
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | DELTA: instantiating (191) with fresh symbol all_690_0
% 155.86/21.30 | | | | | | | | | | | gives:
% 155.86/21.30 | | | | | | | | | | | (192) a_2_1_lattice3(all_111_5, all_111_2) = all_690_0 &
% 155.86/21.30 | | | | | | | | | | | k15_lattice3(all_111_5, all_690_0) = all_111_1 &
% 155.86/21.30 | | | | | | | | | | | $i(all_690_0) & $i(all_111_1)
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | ALPHA: (192) implies:
% 155.86/21.30 | | | | | | | | | | | (193) $i(all_111_1)
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_111_4, all_642_1,
% 155.86/21.30 | | | | | | | | | | | all_111_5, simplifying with (46), (177) gives:
% 155.86/21.30 | | | | | | | | | | | (194) all_642_1 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_636_1, all_642_1,
% 155.86/21.30 | | | | | | | | | | | all_111_5, simplifying with (172), (177) gives:
% 155.86/21.30 | | | | | | | | | | | (195) all_642_1 = all_636_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_652_1, all_674_0,
% 155.86/21.30 | | | | | | | | | | | all_111_5, simplifying with (182), (188) gives:
% 155.86/21.30 | | | | | | | | | | | (196) all_674_0 = all_652_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_636_1, all_674_0,
% 155.86/21.30 | | | | | | | | | | | all_111_5, simplifying with (172), (188) gives:
% 155.86/21.30 | | | | | | | | | | | (197) all_674_0 = all_636_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_630_1, all_674_0,
% 155.86/21.30 | | | | | | | | | | | all_111_5, simplifying with (167), (188) gives:
% 155.86/21.30 | | | | | | | | | | | (198) all_674_0 = all_630_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (196), (197) imply:
% 155.86/21.30 | | | | | | | | | | | (199) all_652_1 = all_636_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (196), (198) imply:
% 155.86/21.30 | | | | | | | | | | | (200) all_652_1 = all_630_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (199), (200) imply:
% 155.86/21.30 | | | | | | | | | | | (201) all_636_1 = all_630_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | SIMP: (201) implies:
% 155.86/21.30 | | | | | | | | | | | (202) all_636_1 = all_630_1
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (194), (195) imply:
% 155.86/21.30 | | | | | | | | | | | (203) all_636_1 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | SIMP: (203) implies:
% 155.86/21.30 | | | | | | | | | | | (204) all_636_1 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (202), (204) imply:
% 155.86/21.30 | | | | | | | | | | | (205) all_630_1 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | SIMP: (205) implies:
% 155.86/21.30 | | | | | | | | | | | (206) all_630_1 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (200), (206) imply:
% 155.86/21.30 | | | | | | | | | | | (207) all_652_1 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | COMBINE_EQS: (196), (207) imply:
% 155.86/21.30 | | | | | | | | | | | (208) all_674_0 = all_111_4
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | REDUCE: (187), (208) imply:
% 155.86/21.30 | | | | | | | | | | | (209) m1_subset_1(all_111_1, all_111_4)
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | BETA: splitting (150) gives:
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | Case 1:
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_1,
% 155.86/21.30 | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (193),
% 155.86/21.30 | | | | | | | | | | | | (209) gives:
% 155.86/21.30 | | | | | | | | | | | | (210) r2_hidden(all_111_1, all_111_4)
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | REF_CLOSE: (28), (29), (31), (41), (42), (43), (143), (159),
% 155.86/21.30 | | | | | | | | | | | | (193), (210) are inconsistent by sub-proof #1.
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | Case 2:
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | (211) r2_hidden(all_111_2, all_111_4)
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | BETA: splitting (148) gives:
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | Case 1:
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | | (212) ~ r2_hidden(all_111_2, all_111_4)
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | | PRED_UNIFY: (211), (212) imply:
% 155.86/21.30 | | | | | | | | | | | | | (213) $false
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | Case 2:
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_1,
% 155.86/21.30 | | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (193),
% 155.86/21.30 | | | | | | | | | | | | | (209) gives:
% 155.86/21.30 | | | | | | | | | | | | | (214) r2_hidden(all_111_1, all_111_4)
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | | REF_CLOSE: (28), (29), (31), (41), (42), (43), (143), (159),
% 155.86/21.30 | | | | | | | | | | | | | (193), (214) are inconsistent by sub-proof #1.
% 155.86/21.30 | | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | | End of split
% 155.86/21.30 | | | | | | | | | | | |
% 155.86/21.30 | | | | | | | | | | | End of split
% 155.86/21.30 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | End of split
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | End of split
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | End of split
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | End of split
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | End of split
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | End of split
% 155.86/21.31 | | | | |
% 155.86/21.31 | | | | Case 2:
% 155.86/21.31 | | | | |
% 155.86/21.31 | | | | | (215) k15_lattice3(all_111_5, all_111_2) = all_111_0 &
% 155.86/21.31 | | | | | $i(all_111_0) & v7_conlat_1(all_111_0, all_111_6)
% 155.86/21.31 | | | | |
% 155.86/21.31 | | | | | ALPHA: (215) implies:
% 155.86/21.31 | | | | | (216) v7_conlat_1(all_111_0, all_111_6)
% 155.86/21.31 | | | | | (217) $i(all_111_0)
% 155.86/21.31 | | | | | (218) k15_lattice3(all_111_5, all_111_2) = all_111_0
% 155.86/21.31 | | | | |
% 155.86/21.31 | | | | | GROUND_INST: instantiating (dt_k15_lattice3) with all_111_5,
% 155.86/21.31 | | | | | all_111_2, all_111_0, simplifying with (45), (58), (61),
% 155.86/21.31 | | | | | (218) gives:
% 155.86/21.31 | | | | | (219) v3_struct_0(all_111_5) | ? [v0: $i] :
% 155.86/21.31 | | | | | (u1_struct_0(all_111_5) = v0 & $i(v0) &
% 155.86/21.31 | | | | | m1_subset_1(all_111_0, v0))
% 155.86/21.31 | | | | |
% 155.86/21.31 | | | | | BETA: splitting (133) gives:
% 155.86/21.31 | | | | |
% 155.86/21.31 | | | | | Case 1:
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | (220) v3_struct_0(all_111_5)
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.31 | | | | | | simplifying with (41), (42), (43), (48), (220) gives:
% 155.86/21.31 | | | | | | (221) $false
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | CLOSE: (221) is inconsistent.
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | Case 2:
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | (222) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.31 | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.31 | | | | | | v1_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1, v0)
% 155.86/21.31 | | | | | | & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | DELTA: instantiating (222) with fresh symbols all_618_0, all_618_1
% 155.86/21.31 | | | | | | gives:
% 155.86/21.31 | | | | | | (223) k2_zfmisc_1(all_618_1, all_618_1) = all_618_0 &
% 155.86/21.31 | | | | | | u1_struct_0(all_111_5) = all_618_1 & $i(all_618_0) &
% 155.86/21.31 | | | | | | $i(all_618_1) & v1_binop_1(all_159_1, all_618_1) &
% 155.86/21.31 | | | | | | v1_funct_2(all_159_1, all_618_0, all_618_1) &
% 155.86/21.31 | | | | | | v1_partfun1(all_159_1, all_618_0, all_618_1)
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | ALPHA: (223) implies:
% 155.86/21.31 | | | | | | (224) $i(all_618_1)
% 155.86/21.31 | | | | | | (225) u1_struct_0(all_111_5) = all_618_1
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | BETA: splitting (135) gives:
% 155.86/21.31 | | | | | |
% 155.86/21.31 | | | | | | Case 1:
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | (226) v3_struct_0(all_111_5)
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.31 | | | | | | | simplifying with (41), (42), (43), (48), (226) gives:
% 155.86/21.31 | | | | | | | (227) $false
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | CLOSE: (227) is inconsistent.
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | Case 2:
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | (228) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.31 | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.31 | | | | | | | v2_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1,
% 155.86/21.31 | | | | | | | v0) & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | DELTA: instantiating (228) with fresh symbols all_624_0, all_624_1
% 155.86/21.31 | | | | | | | gives:
% 155.86/21.31 | | | | | | | (229) k2_zfmisc_1(all_624_1, all_624_1) = all_624_0 &
% 155.86/21.31 | | | | | | | u1_struct_0(all_111_5) = all_624_1 & $i(all_624_0) &
% 155.86/21.31 | | | | | | | $i(all_624_1) & v2_binop_1(all_159_0, all_624_1) &
% 155.86/21.31 | | | | | | | v1_funct_2(all_159_0, all_624_0, all_624_1) &
% 155.86/21.31 | | | | | | | v1_partfun1(all_159_0, all_624_0, all_624_1)
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | ALPHA: (229) implies:
% 155.86/21.31 | | | | | | | (230) u1_struct_0(all_111_5) = all_624_1
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | BETA: splitting (136) gives:
% 155.86/21.31 | | | | | | |
% 155.86/21.31 | | | | | | | Case 1:
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | (231) v3_struct_0(all_111_5)
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.31 | | | | | | | | simplifying with (41), (42), (43), (48), (231)
% 155.86/21.31 | | | | | | | | gives:
% 155.86/21.31 | | | | | | | | (232) $false
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | CLOSE: (232) is inconsistent.
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | Case 2:
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | (233) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.31 | | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.31 | | | | | | | | v1_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1,
% 155.86/21.31 | | | | | | | | v0) & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | DELTA: instantiating (233) with fresh symbols all_630_0,
% 155.86/21.31 | | | | | | | | all_630_1 gives:
% 155.86/21.31 | | | | | | | | (234) k2_zfmisc_1(all_630_1, all_630_1) = all_630_0 &
% 155.86/21.31 | | | | | | | | u1_struct_0(all_111_5) = all_630_1 & $i(all_630_0) &
% 155.86/21.31 | | | | | | | | $i(all_630_1) & v1_binop_1(all_159_0, all_630_1) &
% 155.86/21.31 | | | | | | | | v1_funct_2(all_159_0, all_630_0, all_630_1) &
% 155.86/21.31 | | | | | | | | v1_partfun1(all_159_0, all_630_0, all_630_1)
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | ALPHA: (234) implies:
% 155.86/21.31 | | | | | | | | (235) u1_struct_0(all_111_5) = all_630_1
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | BETA: splitting (132) gives:
% 155.86/21.31 | | | | | | | |
% 155.86/21.31 | | | | | | | | Case 1:
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | (236) v3_struct_0(all_111_5)
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.31 | | | | | | | | | simplifying with (41), (42), (43), (48), (236)
% 155.86/21.31 | | | | | | | | | gives:
% 155.86/21.31 | | | | | | | | | (237) $false
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | CLOSE: (237) is inconsistent.
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | Case 2:
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | (238) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1
% 155.86/21.31 | | | | | | | | | & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.31 | | | | | | | | | v2_binop_1(all_159_1, v0) & v1_funct_2(all_159_1,
% 155.86/21.31 | | | | | | | | | v1, v0) & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | DELTA: instantiating (238) with fresh symbols all_640_0,
% 155.86/21.31 | | | | | | | | | all_640_1 gives:
% 155.86/21.31 | | | | | | | | | (239) k2_zfmisc_1(all_640_1, all_640_1) = all_640_0 &
% 155.86/21.31 | | | | | | | | | u1_struct_0(all_111_5) = all_640_1 & $i(all_640_0) &
% 155.86/21.31 | | | | | | | | | $i(all_640_1) & v2_binop_1(all_159_1, all_640_1) &
% 155.86/21.31 | | | | | | | | | v1_funct_2(all_159_1, all_640_0, all_640_1) &
% 155.86/21.31 | | | | | | | | | v1_partfun1(all_159_1, all_640_0, all_640_1)
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | ALPHA: (239) implies:
% 155.86/21.31 | | | | | | | | | (240) u1_struct_0(all_111_5) = all_640_1
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | BETA: splitting (219) gives:
% 155.86/21.31 | | | | | | | | |
% 155.86/21.31 | | | | | | | | | Case 1:
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | (241) v3_struct_0(all_111_5)
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.31 | | | | | | | | | | simplifying with (41), (42), (43), (48), (241)
% 155.86/21.31 | | | | | | | | | | gives:
% 155.86/21.31 | | | | | | | | | | (242) $false
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | CLOSE: (242) is inconsistent.
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | Case 2:
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | (243) ? [v0: $i] : (u1_struct_0(all_111_5) = v0 & $i(v0)
% 155.86/21.31 | | | | | | | | | | & m1_subset_1(all_111_0, v0))
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | DELTA: instantiating (243) with fresh symbol all_670_0
% 155.86/21.31 | | | | | | | | | | gives:
% 155.86/21.31 | | | | | | | | | | (244) u1_struct_0(all_111_5) = all_670_0 & $i(all_670_0)
% 155.86/21.31 | | | | | | | | | | & m1_subset_1(all_111_0, all_670_0)
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | ALPHA: (244) implies:
% 155.86/21.31 | | | | | | | | | | (245) m1_subset_1(all_111_0, all_670_0)
% 155.86/21.31 | | | | | | | | | | (246) u1_struct_0(all_111_5) = all_670_0
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | BETA: splitting (147) gives:
% 155.86/21.31 | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | Case 1:
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | (247) v3_struct_0(all_111_5)
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.31 | | | | | | | | | | | simplifying with (41), (42), (43), (48), (247)
% 155.86/21.31 | | | | | | | | | | | gives:
% 155.86/21.31 | | | | | | | | | | | (248) $false
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | Case 2:
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_624_1, all_630_1,
% 155.86/21.31 | | | | | | | | | | | all_111_5, simplifying with (230), (235) gives:
% 155.86/21.31 | | | | | | | | | | | (249) all_630_1 = all_624_1
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_618_1, all_630_1,
% 155.86/21.31 | | | | | | | | | | | all_111_5, simplifying with (225), (235) gives:
% 155.86/21.31 | | | | | | | | | | | (250) all_630_1 = all_618_1
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_624_1, all_640_1,
% 155.86/21.31 | | | | | | | | | | | all_111_5, simplifying with (230), (240) gives:
% 155.86/21.31 | | | | | | | | | | | (251) all_640_1 = all_624_1
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_111_4, all_670_0,
% 155.86/21.31 | | | | | | | | | | | all_111_5, simplifying with (46), (246) gives:
% 155.86/21.31 | | | | | | | | | | | (252) all_670_0 = all_111_4
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_640_1, all_670_0,
% 155.86/21.31 | | | | | | | | | | | all_111_5, simplifying with (240), (246) gives:
% 155.86/21.31 | | | | | | | | | | | (253) all_670_0 = all_640_1
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | COMBINE_EQS: (252), (253) imply:
% 155.86/21.31 | | | | | | | | | | | (254) all_640_1 = all_111_4
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | SIMP: (254) implies:
% 155.86/21.31 | | | | | | | | | | | (255) all_640_1 = all_111_4
% 155.86/21.31 | | | | | | | | | | |
% 155.86/21.31 | | | | | | | | | | | COMBINE_EQS: (251), (255) imply:
% 155.86/21.32 | | | | | | | | | | | (256) all_624_1 = all_111_4
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | SIMP: (256) implies:
% 155.86/21.32 | | | | | | | | | | | (257) all_624_1 = all_111_4
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | COMBINE_EQS: (249), (250) imply:
% 155.86/21.32 | | | | | | | | | | | (258) all_624_1 = all_618_1
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | SIMP: (258) implies:
% 155.86/21.32 | | | | | | | | | | | (259) all_624_1 = all_618_1
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | COMBINE_EQS: (257), (259) imply:
% 155.86/21.32 | | | | | | | | | | | (260) all_618_1 = all_111_4
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | REDUCE: (245), (252) imply:
% 155.86/21.32 | | | | | | | | | | | (261) m1_subset_1(all_111_0, all_111_4)
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | BETA: splitting (148) gives:
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | Case 1:
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_0,
% 155.86/21.32 | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (217),
% 155.86/21.32 | | | | | | | | | | | | (261) gives:
% 155.86/21.32 | | | | | | | | | | | | (262) r2_hidden(all_111_0, all_111_4)
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_111_6, all_111_4,
% 155.86/21.32 | | | | | | | | | | | | all_111_0, simplifying with (41), (42), (43),
% 155.86/21.32 | | | | | | | | | | | | (143), (216), (217), (262) gives:
% 155.86/21.32 | | | | | | | | | | | | (263) $false
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | Case 2:
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | (264) r2_hidden(all_111_2, all_111_4)
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | BETA: splitting (150) gives:
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | Case 1:
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | | (265) ~ r2_hidden(all_111_2, all_111_4)
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | | PRED_UNIFY: (264), (265) imply:
% 155.86/21.32 | | | | | | | | | | | | | (266) $false
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | Case 2:
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_0,
% 155.86/21.32 | | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (217),
% 155.86/21.32 | | | | | | | | | | | | | (261) gives:
% 155.86/21.32 | | | | | | | | | | | | | (267) r2_hidden(all_111_0, all_111_4)
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_111_6, all_111_4,
% 155.86/21.32 | | | | | | | | | | | | | all_111_0, simplifying with (41), (42), (43),
% 155.86/21.32 | | | | | | | | | | | | | (143), (216), (217), (267) gives:
% 155.86/21.32 | | | | | | | | | | | | | (268) $false
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 155.86/21.32 | | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | | End of split
% 155.86/21.32 | | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | End of split
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | End of split
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | End of split
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | End of split
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | End of split
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | End of split
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | End of split
% 155.86/21.32 | | | | |
% 155.86/21.32 | | | | End of split
% 155.86/21.32 | | | |
% 155.86/21.32 | | | Case 2:
% 155.86/21.32 | | | |
% 155.86/21.32 | | | | (269) (k15_lattice3(all_111_5, all_111_2) = all_111_0 & $i(all_111_0)
% 155.86/21.32 | | | | & ~ l3_conlat_1(all_111_0, all_111_6)) |
% 155.86/21.32 | | | | (k15_lattice3(all_111_5, all_111_2) = all_111_0 & $i(all_111_0)
% 155.86/21.32 | | | | & ~ v9_conlat_1(all_111_0, all_111_6))
% 155.86/21.32 | | | |
% 155.86/21.32 | | | | BETA: splitting (269) gives:
% 155.86/21.32 | | | |
% 155.86/21.32 | | | | Case 1:
% 155.86/21.32 | | | | |
% 155.86/21.32 | | | | | (270) k15_lattice3(all_111_5, all_111_2) = all_111_0 &
% 155.86/21.32 | | | | | $i(all_111_0) & ~ l3_conlat_1(all_111_0, all_111_6)
% 155.86/21.32 | | | | |
% 155.86/21.32 | | | | | ALPHA: (270) implies:
% 155.86/21.32 | | | | | (271) ~ l3_conlat_1(all_111_0, all_111_6)
% 155.86/21.32 | | | | | (272) $i(all_111_0)
% 155.86/21.32 | | | | | (273) k15_lattice3(all_111_5, all_111_2) = all_111_0
% 155.86/21.32 | | | | |
% 155.86/21.32 | | | | | GROUND_INST: instantiating (dt_k15_lattice3) with all_111_5,
% 155.86/21.32 | | | | | all_111_2, all_111_0, simplifying with (45), (58), (61),
% 155.86/21.32 | | | | | (273) gives:
% 155.86/21.32 | | | | | (274) v3_struct_0(all_111_5) | ? [v0: $i] :
% 155.86/21.32 | | | | | (u1_struct_0(all_111_5) = v0 & $i(v0) &
% 155.86/21.32 | | | | | m1_subset_1(all_111_0, v0))
% 155.86/21.32 | | | | |
% 155.86/21.32 | | | | | BETA: splitting (133) gives:
% 155.86/21.32 | | | | |
% 155.86/21.32 | | | | | Case 1:
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | (275) v3_struct_0(all_111_5)
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.32 | | | | | | simplifying with (41), (42), (43), (48), (275) gives:
% 155.86/21.32 | | | | | | (276) $false
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | CLOSE: (276) is inconsistent.
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | Case 2:
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | (277) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.32 | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.32 | | | | | | v1_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1, v0)
% 155.86/21.32 | | | | | | & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | DELTA: instantiating (277) with fresh symbols all_636_0, all_636_1
% 155.86/21.32 | | | | | | gives:
% 155.86/21.32 | | | | | | (278) k2_zfmisc_1(all_636_1, all_636_1) = all_636_0 &
% 155.86/21.32 | | | | | | u1_struct_0(all_111_5) = all_636_1 & $i(all_636_0) &
% 155.86/21.32 | | | | | | $i(all_636_1) & v1_binop_1(all_159_1, all_636_1) &
% 155.86/21.32 | | | | | | v1_funct_2(all_159_1, all_636_0, all_636_1) &
% 155.86/21.32 | | | | | | v1_partfun1(all_159_1, all_636_0, all_636_1)
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | ALPHA: (278) implies:
% 155.86/21.32 | | | | | | (279) $i(all_636_1)
% 155.86/21.32 | | | | | | (280) u1_struct_0(all_111_5) = all_636_1
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | BETA: splitting (135) gives:
% 155.86/21.32 | | | | | |
% 155.86/21.32 | | | | | | Case 1:
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | (281) v3_struct_0(all_111_5)
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.32 | | | | | | | simplifying with (41), (42), (43), (48), (281) gives:
% 155.86/21.32 | | | | | | | (282) $false
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | CLOSE: (282) is inconsistent.
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | Case 2:
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | (283) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.32 | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.32 | | | | | | | v2_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1,
% 155.86/21.32 | | | | | | | v0) & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | DELTA: instantiating (283) with fresh symbols all_642_0, all_642_1
% 155.86/21.32 | | | | | | | gives:
% 155.86/21.32 | | | | | | | (284) k2_zfmisc_1(all_642_1, all_642_1) = all_642_0 &
% 155.86/21.32 | | | | | | | u1_struct_0(all_111_5) = all_642_1 & $i(all_642_0) &
% 155.86/21.32 | | | | | | | $i(all_642_1) & v2_binop_1(all_159_0, all_642_1) &
% 155.86/21.32 | | | | | | | v1_funct_2(all_159_0, all_642_0, all_642_1) &
% 155.86/21.32 | | | | | | | v1_partfun1(all_159_0, all_642_0, all_642_1)
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | ALPHA: (284) implies:
% 155.86/21.32 | | | | | | | (285) u1_struct_0(all_111_5) = all_642_1
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | BETA: splitting (132) gives:
% 155.86/21.32 | | | | | | |
% 155.86/21.32 | | | | | | | Case 1:
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | (286) v3_struct_0(all_111_5)
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.32 | | | | | | | | simplifying with (41), (42), (43), (48), (286)
% 155.86/21.32 | | | | | | | | gives:
% 155.86/21.32 | | | | | | | | (287) $false
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | CLOSE: (287) is inconsistent.
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | Case 2:
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | (288) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.32 | | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.32 | | | | | | | | v2_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1,
% 155.86/21.32 | | | | | | | | v0) & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | DELTA: instantiating (288) with fresh symbols all_652_0,
% 155.86/21.32 | | | | | | | | all_652_1 gives:
% 155.86/21.32 | | | | | | | | (289) k2_zfmisc_1(all_652_1, all_652_1) = all_652_0 &
% 155.86/21.32 | | | | | | | | u1_struct_0(all_111_5) = all_652_1 & $i(all_652_0) &
% 155.86/21.32 | | | | | | | | $i(all_652_1) & v2_binop_1(all_159_1, all_652_1) &
% 155.86/21.32 | | | | | | | | v1_funct_2(all_159_1, all_652_0, all_652_1) &
% 155.86/21.32 | | | | | | | | v1_partfun1(all_159_1, all_652_0, all_652_1)
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | ALPHA: (289) implies:
% 155.86/21.32 | | | | | | | | (290) u1_struct_0(all_111_5) = all_652_1
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | BETA: splitting (136) gives:
% 155.86/21.32 | | | | | | | |
% 155.86/21.32 | | | | | | | | Case 1:
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | (291) v3_struct_0(all_111_5)
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.32 | | | | | | | | | simplifying with (41), (42), (43), (48), (291)
% 155.86/21.32 | | | | | | | | | gives:
% 155.86/21.32 | | | | | | | | | (292) $false
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | CLOSE: (292) is inconsistent.
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | Case 2:
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | (293) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1
% 155.86/21.32 | | | | | | | | | & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.32 | | | | | | | | | v1_binop_1(all_159_0, v0) & v1_funct_2(all_159_0,
% 155.86/21.32 | | | | | | | | | v1, v0) & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | DELTA: instantiating (293) with fresh symbols all_662_0,
% 155.86/21.32 | | | | | | | | | all_662_1 gives:
% 155.86/21.32 | | | | | | | | | (294) k2_zfmisc_1(all_662_1, all_662_1) = all_662_0 &
% 155.86/21.32 | | | | | | | | | u1_struct_0(all_111_5) = all_662_1 & $i(all_662_0) &
% 155.86/21.32 | | | | | | | | | $i(all_662_1) & v1_binop_1(all_159_0, all_662_1) &
% 155.86/21.32 | | | | | | | | | v1_funct_2(all_159_0, all_662_0, all_662_1) &
% 155.86/21.32 | | | | | | | | | v1_partfun1(all_159_0, all_662_0, all_662_1)
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | ALPHA: (294) implies:
% 155.86/21.32 | | | | | | | | | (295) u1_struct_0(all_111_5) = all_662_1
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | BETA: splitting (274) gives:
% 155.86/21.32 | | | | | | | | |
% 155.86/21.32 | | | | | | | | | Case 1:
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | (296) v3_struct_0(all_111_5)
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.32 | | | | | | | | | | simplifying with (41), (42), (43), (48), (296)
% 155.86/21.32 | | | | | | | | | | gives:
% 155.86/21.32 | | | | | | | | | | (297) $false
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | CLOSE: (297) is inconsistent.
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | Case 2:
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | (298) ? [v0: $i] : (u1_struct_0(all_111_5) = v0 & $i(v0)
% 155.86/21.32 | | | | | | | | | | & m1_subset_1(all_111_0, v0))
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | DELTA: instantiating (298) with fresh symbol all_680_0
% 155.86/21.32 | | | | | | | | | | gives:
% 155.86/21.32 | | | | | | | | | | (299) u1_struct_0(all_111_5) = all_680_0 & $i(all_680_0)
% 155.86/21.32 | | | | | | | | | | & m1_subset_1(all_111_0, all_680_0)
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | ALPHA: (299) implies:
% 155.86/21.32 | | | | | | | | | | (300) m1_subset_1(all_111_0, all_680_0)
% 155.86/21.32 | | | | | | | | | | (301) u1_struct_0(all_111_5) = all_680_0
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | BETA: splitting (129) gives:
% 155.86/21.32 | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | Case 1:
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | (302) v3_struct_0(all_111_5)
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.32 | | | | | | | | | | | simplifying with (41), (42), (43), (48), (302)
% 155.86/21.32 | | | | | | | | | | | gives:
% 155.86/21.32 | | | | | | | | | | | (303) $false
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.32 | | | | | | | | | | | CLOSE: (303) is inconsistent.
% 155.86/21.32 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | Case 2:
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_111_4, all_662_1,
% 155.86/21.33 | | | | | | | | | | | all_111_5, simplifying with (46), (295) gives:
% 155.86/21.33 | | | | | | | | | | | (304) all_662_1 = all_111_4
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_652_1, all_662_1,
% 155.86/21.33 | | | | | | | | | | | all_111_5, simplifying with (290), (295) gives:
% 155.86/21.33 | | | | | | | | | | | (305) all_662_1 = all_652_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_642_1, all_662_1,
% 155.86/21.33 | | | | | | | | | | | all_111_5, simplifying with (285), (295) gives:
% 155.86/21.33 | | | | | | | | | | | (306) all_662_1 = all_642_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_662_1, all_680_0,
% 155.86/21.33 | | | | | | | | | | | all_111_5, simplifying with (295), (301) gives:
% 155.86/21.33 | | | | | | | | | | | (307) all_680_0 = all_662_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_636_1, all_680_0,
% 155.86/21.33 | | | | | | | | | | | all_111_5, simplifying with (280), (301) gives:
% 155.86/21.33 | | | | | | | | | | | (308) all_680_0 = all_636_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (307), (308) imply:
% 155.86/21.33 | | | | | | | | | | | (309) all_662_1 = all_636_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | SIMP: (309) implies:
% 155.86/21.33 | | | | | | | | | | | (310) all_662_1 = all_636_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (304), (305) imply:
% 155.86/21.33 | | | | | | | | | | | (311) all_652_1 = all_111_4
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (305), (310) imply:
% 155.86/21.33 | | | | | | | | | | | (312) all_652_1 = all_636_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (305), (306) imply:
% 155.86/21.33 | | | | | | | | | | | (313) all_652_1 = all_642_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (312), (313) imply:
% 155.86/21.33 | | | | | | | | | | | (314) all_642_1 = all_636_1
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (311), (313) imply:
% 155.86/21.33 | | | | | | | | | | | (315) all_642_1 = all_111_4
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (314), (315) imply:
% 155.86/21.33 | | | | | | | | | | | (316) all_636_1 = all_111_4
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | COMBINE_EQS: (308), (316) imply:
% 155.86/21.33 | | | | | | | | | | | (317) all_680_0 = all_111_4
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | REDUCE: (300), (317) imply:
% 155.86/21.33 | | | | | | | | | | | (318) m1_subset_1(all_111_0, all_111_4)
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | BETA: splitting (149) gives:
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | Case 1:
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_0,
% 155.86/21.33 | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (272),
% 155.86/21.33 | | | | | | | | | | | | (318) gives:
% 155.86/21.33 | | | | | | | | | | | | (319) r2_hidden(all_111_0, all_111_4)
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_111_6, all_111_4,
% 155.86/21.33 | | | | | | | | | | | | all_111_0, simplifying with (41), (42), (43),
% 155.86/21.33 | | | | | | | | | | | | (143), (271), (272), (319) gives:
% 155.86/21.33 | | | | | | | | | | | | (320) $false
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | Case 2:
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | (321) r2_hidden(all_111_2, all_111_4)
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | BETA: splitting (150) gives:
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | Case 1:
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | | (322) ~ r2_hidden(all_111_2, all_111_4)
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | | PRED_UNIFY: (321), (322) imply:
% 155.86/21.33 | | | | | | | | | | | | | (323) $false
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | Case 2:
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_0,
% 155.86/21.33 | | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (272),
% 155.86/21.33 | | | | | | | | | | | | | (318) gives:
% 155.86/21.33 | | | | | | | | | | | | | (324) r2_hidden(all_111_0, all_111_4)
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_111_6, all_111_4,
% 155.86/21.33 | | | | | | | | | | | | | all_111_0, simplifying with (41), (42), (43),
% 155.86/21.33 | | | | | | | | | | | | | (143), (271), (272), (324) gives:
% 155.86/21.33 | | | | | | | | | | | | | (325) $false
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | | CLOSE: (325) is inconsistent.
% 155.86/21.33 | | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | | End of split
% 155.86/21.33 | | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | | End of split
% 155.86/21.33 | | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | End of split
% 155.86/21.33 | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | End of split
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | End of split
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | End of split
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | End of split
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | End of split
% 155.86/21.33 | | | | |
% 155.86/21.33 | | | | Case 2:
% 155.86/21.33 | | | | |
% 155.86/21.33 | | | | | (326) k15_lattice3(all_111_5, all_111_2) = all_111_0 &
% 155.86/21.33 | | | | | $i(all_111_0) & ~ v9_conlat_1(all_111_0, all_111_6)
% 155.86/21.33 | | | | |
% 155.86/21.33 | | | | | ALPHA: (326) implies:
% 155.86/21.33 | | | | | (327) ~ v9_conlat_1(all_111_0, all_111_6)
% 155.86/21.33 | | | | | (328) $i(all_111_0)
% 155.86/21.33 | | | | | (329) k15_lattice3(all_111_5, all_111_2) = all_111_0
% 155.86/21.33 | | | | |
% 155.86/21.33 | | | | | GROUND_INST: instantiating (dt_k15_lattice3) with all_111_5,
% 155.86/21.33 | | | | | all_111_2, all_111_0, simplifying with (45), (58), (61),
% 155.86/21.33 | | | | | (329) gives:
% 155.86/21.33 | | | | | (330) v3_struct_0(all_111_5) | ? [v0: $i] :
% 155.86/21.33 | | | | | (u1_struct_0(all_111_5) = v0 & $i(v0) &
% 155.86/21.33 | | | | | m1_subset_1(all_111_0, v0))
% 155.86/21.33 | | | | |
% 155.86/21.33 | | | | | BETA: splitting (136) gives:
% 155.86/21.33 | | | | |
% 155.86/21.33 | | | | | Case 1:
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | (331) v3_struct_0(all_111_5)
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.33 | | | | | | simplifying with (41), (42), (43), (48), (331) gives:
% 155.86/21.33 | | | | | | (332) $false
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | CLOSE: (332) is inconsistent.
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | Case 2:
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | (333) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.33 | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.33 | | | | | | v1_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1, v0)
% 155.86/21.33 | | | | | | & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | DELTA: instantiating (333) with fresh symbols all_607_0, all_607_1
% 155.86/21.33 | | | | | | gives:
% 155.86/21.33 | | | | | | (334) k2_zfmisc_1(all_607_1, all_607_1) = all_607_0 &
% 155.86/21.33 | | | | | | u1_struct_0(all_111_5) = all_607_1 & $i(all_607_0) &
% 155.86/21.33 | | | | | | $i(all_607_1) & v1_binop_1(all_159_0, all_607_1) &
% 155.86/21.33 | | | | | | v1_funct_2(all_159_0, all_607_0, all_607_1) &
% 155.86/21.33 | | | | | | v1_partfun1(all_159_0, all_607_0, all_607_1)
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | ALPHA: (334) implies:
% 155.86/21.33 | | | | | | (335) $i(all_607_1)
% 155.86/21.33 | | | | | | (336) u1_struct_0(all_111_5) = all_607_1
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | BETA: splitting (133) gives:
% 155.86/21.33 | | | | | |
% 155.86/21.33 | | | | | | Case 1:
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | (337) v3_struct_0(all_111_5)
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.33 | | | | | | | simplifying with (41), (42), (43), (48), (337) gives:
% 155.86/21.33 | | | | | | | (338) $false
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | CLOSE: (338) is inconsistent.
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | Case 2:
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | (339) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.33 | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.33 | | | | | | | v1_binop_1(all_159_1, v0) & v1_funct_2(all_159_1, v1,
% 155.86/21.33 | | | | | | | v0) & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | DELTA: instantiating (339) with fresh symbols all_617_0, all_617_1
% 155.86/21.33 | | | | | | | gives:
% 155.86/21.33 | | | | | | | (340) k2_zfmisc_1(all_617_1, all_617_1) = all_617_0 &
% 155.86/21.33 | | | | | | | u1_struct_0(all_111_5) = all_617_1 & $i(all_617_0) &
% 155.86/21.33 | | | | | | | $i(all_617_1) & v1_binop_1(all_159_1, all_617_1) &
% 155.86/21.33 | | | | | | | v1_funct_2(all_159_1, all_617_0, all_617_1) &
% 155.86/21.33 | | | | | | | v1_partfun1(all_159_1, all_617_0, all_617_1)
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | ALPHA: (340) implies:
% 155.86/21.33 | | | | | | | (341) u1_struct_0(all_111_5) = all_617_1
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | BETA: splitting (135) gives:
% 155.86/21.33 | | | | | | |
% 155.86/21.33 | | | | | | | Case 1:
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | (342) v3_struct_0(all_111_5)
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.33 | | | | | | | | simplifying with (41), (42), (43), (48), (342)
% 155.86/21.33 | | | | | | | | gives:
% 155.86/21.33 | | | | | | | | (343) $false
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | CLOSE: (343) is inconsistent.
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | Case 2:
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | (344) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1 &
% 155.86/21.33 | | | | | | | | u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.33 | | | | | | | | v2_binop_1(all_159_0, v0) & v1_funct_2(all_159_0, v1,
% 155.86/21.33 | | | | | | | | v0) & v1_partfun1(all_159_0, v1, v0))
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | DELTA: instantiating (344) with fresh symbols all_623_0,
% 155.86/21.33 | | | | | | | | all_623_1 gives:
% 155.86/21.33 | | | | | | | | (345) k2_zfmisc_1(all_623_1, all_623_1) = all_623_0 &
% 155.86/21.33 | | | | | | | | u1_struct_0(all_111_5) = all_623_1 & $i(all_623_0) &
% 155.86/21.33 | | | | | | | | $i(all_623_1) & v2_binop_1(all_159_0, all_623_1) &
% 155.86/21.33 | | | | | | | | v1_funct_2(all_159_0, all_623_0, all_623_1) &
% 155.86/21.33 | | | | | | | | v1_partfun1(all_159_0, all_623_0, all_623_1)
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | ALPHA: (345) implies:
% 155.86/21.33 | | | | | | | | (346) u1_struct_0(all_111_5) = all_623_1
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | BETA: splitting (132) gives:
% 155.86/21.33 | | | | | | | |
% 155.86/21.33 | | | | | | | | Case 1:
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | (347) v3_struct_0(all_111_5)
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.33 | | | | | | | | | simplifying with (41), (42), (43), (48), (347)
% 155.86/21.33 | | | | | | | | | gives:
% 155.86/21.33 | | | | | | | | | (348) $false
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | CLOSE: (348) is inconsistent.
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | Case 2:
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | (349) ? [v0: $i] : ? [v1: $i] : (k2_zfmisc_1(v0, v0) = v1
% 155.86/21.33 | | | | | | | | | & u1_struct_0(all_111_5) = v0 & $i(v1) & $i(v0) &
% 155.86/21.33 | | | | | | | | | v2_binop_1(all_159_1, v0) & v1_funct_2(all_159_1,
% 155.86/21.33 | | | | | | | | | v1, v0) & v1_partfun1(all_159_1, v1, v0))
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | DELTA: instantiating (349) with fresh symbols all_639_0,
% 155.86/21.33 | | | | | | | | | all_639_1 gives:
% 155.86/21.33 | | | | | | | | | (350) k2_zfmisc_1(all_639_1, all_639_1) = all_639_0 &
% 155.86/21.33 | | | | | | | | | u1_struct_0(all_111_5) = all_639_1 & $i(all_639_0) &
% 155.86/21.33 | | | | | | | | | $i(all_639_1) & v2_binop_1(all_159_1, all_639_1) &
% 155.86/21.33 | | | | | | | | | v1_funct_2(all_159_1, all_639_0, all_639_1) &
% 155.86/21.33 | | | | | | | | | v1_partfun1(all_159_1, all_639_0, all_639_1)
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | ALPHA: (350) implies:
% 155.86/21.33 | | | | | | | | | (351) u1_struct_0(all_111_5) = all_639_1
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | BETA: splitting (330) gives:
% 155.86/21.33 | | | | | | | | |
% 155.86/21.33 | | | | | | | | | Case 1:
% 155.86/21.33 | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | (352) v3_struct_0(all_111_5)
% 155.86/21.33 | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.33 | | | | | | | | | | simplifying with (41), (42), (43), (48), (352)
% 155.86/21.33 | | | | | | | | | | gives:
% 155.86/21.33 | | | | | | | | | | (353) $false
% 155.86/21.33 | | | | | | | | | |
% 155.86/21.33 | | | | | | | | | | CLOSE: (353) is inconsistent.
% 155.86/21.33 | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | Case 2:
% 155.86/21.34 | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | (354) ? [v0: $i] : (u1_struct_0(all_111_5) = v0 & $i(v0)
% 155.86/21.34 | | | | | | | | | | & m1_subset_1(all_111_0, v0))
% 155.86/21.34 | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | DELTA: instantiating (354) with fresh symbol all_651_0
% 155.86/21.34 | | | | | | | | | | gives:
% 155.86/21.34 | | | | | | | | | | (355) u1_struct_0(all_111_5) = all_651_0 & $i(all_651_0)
% 155.86/21.34 | | | | | | | | | | & m1_subset_1(all_111_0, all_651_0)
% 155.86/21.34 | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | ALPHA: (355) implies:
% 155.86/21.34 | | | | | | | | | | (356) m1_subset_1(all_111_0, all_651_0)
% 155.86/21.34 | | | | | | | | | | (357) u1_struct_0(all_111_5) = all_651_0
% 155.86/21.34 | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | BETA: splitting (147) gives:
% 155.86/21.34 | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | Case 1:
% 155.86/21.34 | | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | | (358) v3_struct_0(all_111_5)
% 155.86/21.34 | | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | | GROUND_INST: instantiating (23) with all_111_6, all_111_5,
% 155.86/21.34 | | | | | | | | | | | simplifying with (41), (42), (43), (48), (358)
% 155.86/21.34 | | | | | | | | | | | gives:
% 155.86/21.34 | | | | | | | | | | | (359) $false
% 155.86/21.34 | | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | | CLOSE: (359) is inconsistent.
% 155.86/21.34 | | | | | | | | | | |
% 155.86/21.34 | | | | | | | | | | Case 2:
% 155.86/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_111_4, all_623_1,
% 156.13/21.34 | | | | | | | | | | | all_111_5, simplifying with (46), (346) gives:
% 156.13/21.34 | | | | | | | | | | | (360) all_623_1 = all_111_4
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_617_1, all_623_1,
% 156.13/21.34 | | | | | | | | | | | all_111_5, simplifying with (341), (346) gives:
% 156.13/21.34 | | | | | | | | | | | (361) all_623_1 = all_617_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_623_1, all_639_1,
% 156.13/21.34 | | | | | | | | | | | all_111_5, simplifying with (346), (351) gives:
% 156.13/21.34 | | | | | | | | | | | (362) all_639_1 = all_623_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_639_1, all_651_0,
% 156.13/21.34 | | | | | | | | | | | all_111_5, simplifying with (351), (357) gives:
% 156.13/21.34 | | | | | | | | | | | (363) all_651_0 = all_639_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | GROUND_INST: instantiating (32) with all_607_1, all_651_0,
% 156.13/21.34 | | | | | | | | | | | all_111_5, simplifying with (336), (357) gives:
% 156.13/21.34 | | | | | | | | | | | (364) all_651_0 = all_607_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | COMBINE_EQS: (363), (364) imply:
% 156.13/21.34 | | | | | | | | | | | (365) all_639_1 = all_607_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | SIMP: (365) implies:
% 156.13/21.34 | | | | | | | | | | | (366) all_639_1 = all_607_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | COMBINE_EQS: (362), (366) imply:
% 156.13/21.34 | | | | | | | | | | | (367) all_623_1 = all_607_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | SIMP: (367) implies:
% 156.13/21.34 | | | | | | | | | | | (368) all_623_1 = all_607_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | COMBINE_EQS: (360), (361) imply:
% 156.13/21.34 | | | | | | | | | | | (369) all_617_1 = all_111_4
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | COMBINE_EQS: (361), (368) imply:
% 156.13/21.34 | | | | | | | | | | | (370) all_617_1 = all_607_1
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | COMBINE_EQS: (369), (370) imply:
% 156.13/21.34 | | | | | | | | | | | (371) all_607_1 = all_111_4
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | SIMP: (371) implies:
% 156.13/21.34 | | | | | | | | | | | (372) all_607_1 = all_111_4
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | COMBINE_EQS: (364), (372) imply:
% 156.13/21.34 | | | | | | | | | | | (373) all_651_0 = all_111_4
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | REDUCE: (356), (373) imply:
% 156.13/21.34 | | | | | | | | | | | (374) m1_subset_1(all_111_0, all_111_4)
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | BETA: splitting (150) gives:
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | Case 1:
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_0,
% 156.13/21.34 | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (328),
% 156.13/21.34 | | | | | | | | | | | | (374) gives:
% 156.13/21.34 | | | | | | | | | | | | (375) r2_hidden(all_111_0, all_111_4)
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_111_6, all_111_4,
% 156.13/21.34 | | | | | | | | | | | | all_111_0, simplifying with (41), (42), (43),
% 156.13/21.34 | | | | | | | | | | | | (143), (327), (328), (375) gives:
% 156.13/21.34 | | | | | | | | | | | | (376) $false
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | CLOSE: (376) is inconsistent.
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | Case 2:
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | (377) r2_hidden(all_111_2, all_111_4)
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | BETA: splitting (149) gives:
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | Case 1:
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | | (378) ~ r2_hidden(all_111_2, all_111_4)
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | | PRED_UNIFY: (377), (378) imply:
% 156.13/21.34 | | | | | | | | | | | | | (379) $false
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | | CLOSE: (379) is inconsistent.
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | Case 2:
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | | GROUND_INST: instantiating (t2_subset) with all_111_0,
% 156.13/21.34 | | | | | | | | | | | | | all_111_4, simplifying with (44), (155), (328),
% 156.13/21.34 | | | | | | | | | | | | | (374) gives:
% 156.13/21.34 | | | | | | | | | | | | | (380) r2_hidden(all_111_0, all_111_4)
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_111_6, all_111_4,
% 156.13/21.34 | | | | | | | | | | | | | all_111_0, simplifying with (41), (42), (43),
% 156.13/21.34 | | | | | | | | | | | | | (143), (327), (328), (380) gives:
% 156.13/21.34 | | | | | | | | | | | | | (381) $false
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | | CLOSE: (381) is inconsistent.
% 156.13/21.34 | | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | | End of split
% 156.13/21.34 | | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | | End of split
% 156.13/21.34 | | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | | End of split
% 156.13/21.34 | | | | | | | | | |
% 156.13/21.34 | | | | | | | | | End of split
% 156.13/21.34 | | | | | | | | |
% 156.13/21.34 | | | | | | | | End of split
% 156.13/21.34 | | | | | | | |
% 156.13/21.34 | | | | | | | End of split
% 156.13/21.34 | | | | | | |
% 156.13/21.34 | | | | | | End of split
% 156.13/21.34 | | | | | |
% 156.13/21.34 | | | | | End of split
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | End of split
% 156.13/21.34 | | | |
% 156.13/21.34 | | | End of split
% 156.13/21.34 | | |
% 156.13/21.34 | | End of split
% 156.13/21.34 | |
% 156.13/21.34 | Case 2:
% 156.13/21.34 | |
% 156.13/21.34 | | (382) ? [v0: $i] : (k2_zfmisc_1(all_135_2, all_135_2) = v0 & $i(v0) & (
% 156.13/21.34 | | ~ v1_funct_2(all_135_0, v0, all_135_2) | ~
% 156.13/21.34 | | v1_funct_2(all_135_1, v0, all_135_2) | ~
% 156.13/21.34 | | m1_relset_1(all_135_0, v0, all_135_2) | ~
% 156.13/21.34 | | m1_relset_1(all_135_1, v0, all_135_2)))
% 156.13/21.34 | |
% 156.13/21.34 | | DELTA: instantiating (382) with fresh symbol all_203_0 gives:
% 156.13/21.34 | | (383) k2_zfmisc_1(all_135_2, all_135_2) = all_203_0 & $i(all_203_0) & ( ~
% 156.13/21.34 | | v1_funct_2(all_135_0, all_203_0, all_135_2) | ~
% 156.13/21.34 | | v1_funct_2(all_135_1, all_203_0, all_135_2) | ~
% 156.13/21.34 | | m1_relset_1(all_135_0, all_203_0, all_135_2) | ~
% 156.13/21.34 | | m1_relset_1(all_135_1, all_203_0, all_135_2))
% 156.13/21.34 | |
% 156.13/21.34 | | ALPHA: (383) implies:
% 156.13/21.34 | | (384) k2_zfmisc_1(all_135_2, all_135_2) = all_203_0
% 156.13/21.34 | | (385) ~ v1_funct_2(all_135_0, all_203_0, all_135_2) | ~
% 156.13/21.34 | | v1_funct_2(all_135_1, all_203_0, all_135_2) | ~
% 156.13/21.34 | | m1_relset_1(all_135_0, all_203_0, all_135_2) | ~
% 156.13/21.34 | | m1_relset_1(all_135_1, all_203_0, all_135_2)
% 156.13/21.34 | |
% 156.13/21.34 | | GROUND_INST: instantiating (36) with all_161_0, all_203_0, all_135_2,
% 156.13/21.34 | | all_135_2, simplifying with (108), (384) gives:
% 156.13/21.34 | | (386) all_203_0 = all_161_0
% 156.13/21.34 | |
% 156.13/21.34 | | BETA: splitting (385) gives:
% 156.13/21.34 | |
% 156.13/21.34 | | Case 1:
% 156.13/21.34 | | |
% 156.13/21.34 | | | (387) ~ v1_funct_2(all_135_0, all_203_0, all_135_2)
% 156.13/21.34 | | |
% 156.13/21.34 | | | REDUCE: (386), (387) imply:
% 156.13/21.34 | | | (388) ~ v1_funct_2(all_135_0, all_161_0, all_135_2)
% 156.13/21.34 | | |
% 156.13/21.34 | | | PRED_UNIFY: (125), (388) imply:
% 156.13/21.34 | | | (389) $false
% 156.13/21.34 | | |
% 156.13/21.34 | | | CLOSE: (389) is inconsistent.
% 156.13/21.34 | | |
% 156.13/21.34 | | Case 2:
% 156.13/21.34 | | |
% 156.13/21.34 | | | (390) ~ v1_funct_2(all_135_1, all_203_0, all_135_2) | ~
% 156.13/21.34 | | | m1_relset_1(all_135_0, all_203_0, all_135_2) | ~
% 156.13/21.34 | | | m1_relset_1(all_135_1, all_203_0, all_135_2)
% 156.13/21.34 | | |
% 156.13/21.34 | | | BETA: splitting (390) gives:
% 156.13/21.34 | | |
% 156.13/21.34 | | | Case 1:
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | (391) ~ v1_funct_2(all_135_1, all_203_0, all_135_2)
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | REDUCE: (386), (391) imply:
% 156.13/21.34 | | | | (392) ~ v1_funct_2(all_135_1, all_161_0, all_135_2)
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | PRED_UNIFY: (126), (392) imply:
% 156.13/21.34 | | | | (393) $false
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | CLOSE: (393) is inconsistent.
% 156.13/21.34 | | | |
% 156.13/21.34 | | | Case 2:
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | (394) ~ m1_relset_1(all_135_0, all_203_0, all_135_2) | ~
% 156.13/21.34 | | | | m1_relset_1(all_135_1, all_203_0, all_135_2)
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | BETA: splitting (394) gives:
% 156.13/21.34 | | | |
% 156.13/21.34 | | | | Case 1:
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | (395) ~ m1_relset_1(all_135_0, all_203_0, all_135_2)
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | REDUCE: (386), (395) imply:
% 156.13/21.34 | | | | | (396) ~ m1_relset_1(all_135_0, all_161_0, all_135_2)
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | PRED_UNIFY: (128), (396) imply:
% 156.13/21.34 | | | | | (397) $false
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | CLOSE: (397) is inconsistent.
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | Case 2:
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | (398) ~ m1_relset_1(all_135_1, all_203_0, all_135_2)
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | REDUCE: (386), (398) imply:
% 156.13/21.34 | | | | | (399) ~ m1_relset_1(all_135_1, all_161_0, all_135_2)
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | PRED_UNIFY: (127), (399) imply:
% 156.13/21.34 | | | | | (400) $false
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | | CLOSE: (400) is inconsistent.
% 156.13/21.34 | | | | |
% 156.13/21.34 | | | | End of split
% 156.13/21.34 | | | |
% 156.13/21.34 | | | End of split
% 156.13/21.34 | | |
% 156.13/21.34 | | End of split
% 156.13/21.34 | |
% 156.13/21.34 | End of split
% 156.13/21.34 |
% 156.13/21.34 End of proof
% 156.13/21.34
% 156.13/21.34 Sub-proof #1 shows that the following formulas are inconsistent:
% 156.13/21.34 ----------------------------------------------------------------
% 156.13/21.34 (1) k8_conlat_1(all_111_6) = all_111_4
% 156.13/21.34 (2) l2_conlat_1(all_111_6)
% 156.13/21.34 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~
% 156.13/21.34 $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ l2_conlat_1(v0) |
% 156.13/21.34 v9_conlat_1(v2, v0) | v3_conlat_1(v0))
% 156.13/21.34 (4) ~ l3_conlat_1(all_111_1, all_111_6) | ~ v9_conlat_1(all_111_1,
% 156.13/21.34 all_111_6) | v7_conlat_1(all_111_1, all_111_6)
% 156.13/21.34 (5) $i(all_111_6)
% 156.13/21.35 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~
% 156.13/21.35 $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ l2_conlat_1(v0) |
% 156.13/21.35 l3_conlat_1(v2, v0) | v3_conlat_1(v0))
% 156.13/21.35 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k8_conlat_1(v0) = v1) | ~
% 156.13/21.35 $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ v7_conlat_1(v2, v0) | ~
% 156.13/21.35 l2_conlat_1(v0) | v3_conlat_1(v0))
% 156.13/21.35 (8) ~ v3_conlat_1(all_111_6)
% 156.13/21.35 (9) $i(all_111_1)
% 156.13/21.35 (10) r2_hidden(all_111_1, all_111_4)
% 156.13/21.35
% 156.13/21.35 Begin of proof
% 156.13/21.35 |
% 156.13/21.35 | BETA: splitting (4) gives:
% 156.13/21.35 |
% 156.13/21.35 | Case 1:
% 156.13/21.35 | |
% 156.13/21.35 | | (11) ~ l3_conlat_1(all_111_1, all_111_6)
% 156.13/21.35 | |
% 156.13/21.35 | | GROUND_INST: instantiating (6) with all_111_6, all_111_4, all_111_1,
% 156.13/21.35 | | simplifying with (1), (2), (5), (8), (9), (10), (11) gives:
% 156.13/21.35 | | (12) $false
% 156.13/21.35 | |
% 156.13/21.35 | | CLOSE: (12) is inconsistent.
% 156.13/21.35 | |
% 156.13/21.35 | Case 2:
% 156.13/21.35 | |
% 156.13/21.35 | | (13) ~ v9_conlat_1(all_111_1, all_111_6) | v7_conlat_1(all_111_1,
% 156.13/21.35 | | all_111_6)
% 156.13/21.35 | |
% 156.13/21.35 | | GROUND_INST: instantiating (3) with all_111_6, all_111_4, all_111_1,
% 156.13/21.35 | | simplifying with (1), (2), (5), (8), (9), (10) gives:
% 156.13/21.35 | | (14) v9_conlat_1(all_111_1, all_111_6)
% 156.13/21.35 | |
% 156.13/21.35 | | BETA: splitting (13) gives:
% 156.13/21.35 | |
% 156.13/21.35 | | Case 1:
% 156.13/21.35 | | |
% 156.13/21.35 | | | (15) ~ v9_conlat_1(all_111_1, all_111_6)
% 156.13/21.35 | | |
% 156.13/21.35 | | | PRED_UNIFY: (14), (15) imply:
% 156.13/21.35 | | | (16) $false
% 156.13/21.35 | | |
% 156.13/21.35 | | | CLOSE: (16) is inconsistent.
% 156.13/21.35 | | |
% 156.13/21.35 | | Case 2:
% 156.13/21.35 | | |
% 156.13/21.35 | | | (17) v7_conlat_1(all_111_1, all_111_6)
% 156.13/21.35 | | |
% 156.13/21.35 | | | GROUND_INST: instantiating (7) with all_111_6, all_111_4, all_111_1,
% 156.13/21.35 | | | simplifying with (1), (2), (5), (8), (9), (10), (17) gives:
% 156.13/21.35 | | | (18) $false
% 156.13/21.35 | | |
% 156.13/21.35 | | | CLOSE: (18) is inconsistent.
% 156.13/21.35 | | |
% 156.13/21.35 | | End of split
% 156.13/21.35 | |
% 156.13/21.35 | End of split
% 156.13/21.35 |
% 156.13/21.35 End of proof
% 156.13/21.35
% 156.13/21.35 Sub-proof #2 shows that the following formulas are inconsistent:
% 156.13/21.35 ----------------------------------------------------------------
% 156.13/21.35 (1) l2_conlat_1(all_111_6)
% 156.13/21.35 (2) l1_struct_0(all_111_5)
% 156.13/21.35 (3) v1_xboole_0(all_111_4)
% 156.13/21.35 (4) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 156.13/21.35 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 156.13/21.35 (5) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_conlat_1(v0) = v1) | ~ $i(v0) | ~
% 156.13/21.35 v3_struct_0(v1) | ~ l2_conlat_1(v0) | v3_conlat_1(v0))
% 156.13/21.35 (6) $i(all_111_6)
% 156.13/21.35 (7) ~ v3_conlat_1(all_111_6)
% 156.13/21.35 (8) $i(all_111_5)
% 156.13/21.35 (9) u1_struct_0(all_111_5) = all_111_4
% 156.13/21.35 (10) k11_conlat_1(all_111_6) = all_111_5
% 156.13/21.35
% 156.13/21.35 Begin of proof
% 156.13/21.35 |
% 156.13/21.35 | GROUND_INST: instantiating (4) with all_111_5, all_111_4, simplifying with
% 156.13/21.35 | (2), (3), (8), (9) gives:
% 156.13/21.35 | (11) v3_struct_0(all_111_5)
% 156.13/21.35 |
% 156.13/21.35 | GROUND_INST: instantiating (5) with all_111_6, all_111_5, simplifying with
% 156.13/21.35 | (1), (6), (7), (10), (11) gives:
% 156.13/21.35 | (12) $false
% 156.13/21.35 |
% 156.13/21.35 | CLOSE: (12) is inconsistent.
% 156.13/21.35 |
% 156.13/21.35 End of proof
% 156.13/21.35 % SZS output end Proof for theBenchmark
% 156.13/21.35
% 156.13/21.35 20740ms
%------------------------------------------------------------------------------