TSTP Solution File: LAT291+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT291+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 : n006.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 06:24:27 EDT 2023
% Result : Theorem 86.02s 12.11s
% Output : Proof 86.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 09:38:08 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.21/0.60 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.62 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.84/1.38 Prover 1: Preprocessing ...
% 3.84/1.38 Prover 4: Preprocessing ...
% 4.75/1.43 Prover 6: Preprocessing ...
% 4.75/1.43 Prover 3: Preprocessing ...
% 4.75/1.43 Prover 2: Preprocessing ...
% 4.75/1.43 Prover 5: Preprocessing ...
% 4.75/1.44 Prover 0: Preprocessing ...
% 11.70/2.41 Prover 1: Warning: ignoring some quantifiers
% 12.31/2.43 Prover 5: Proving ...
% 12.64/2.52 Prover 1: Constructing countermodel ...
% 12.64/2.53 Prover 2: Proving ...
% 13.31/2.60 Prover 3: Warning: ignoring some quantifiers
% 13.31/2.63 Prover 3: Constructing countermodel ...
% 13.31/2.63 Prover 6: Proving ...
% 16.03/2.94 Prover 4: Warning: ignoring some quantifiers
% 16.67/3.02 Prover 4: Constructing countermodel ...
% 17.86/3.22 Prover 0: Proving ...
% 71.51/10.28 Prover 2: stopped
% 71.51/10.28 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 73.15/10.41 Prover 7: Preprocessing ...
% 74.22/10.59 Prover 7: Warning: ignoring some quantifiers
% 74.71/10.61 Prover 7: Constructing countermodel ...
% 85.47/12.04 Prover 7: Found proof (size 209)
% 85.47/12.04 Prover 7: proved (1754ms)
% 85.47/12.04 Prover 5: stopped
% 85.47/12.04 Prover 4: stopped
% 85.47/12.04 Prover 6: stopped
% 85.47/12.04 Prover 1: stopped
% 85.47/12.05 Prover 0: stopped
% 86.02/12.10 Prover 3: stopped
% 86.02/12.10
% 86.02/12.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.02/12.11
% 86.02/12.15 % SZS output start Proof for theBenchmark
% 86.02/12.15 Assumptions after simplification:
% 86.02/12.15 ---------------------------------
% 86.02/12.15
% 86.02/12.15 (dt_k5_lattices)
% 86.02/12.18 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 86.02/12.18 l1_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : (k5_lattices(v0) = v2 &
% 86.02/12.18 $i(v2) & m1_subset_1(v2, v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.02/12.18 (k5_lattices(v0) = v1) | ~ $i(v0) | ~ l1_lattices(v0) | v3_struct_0(v0) |
% 86.02/12.18 ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & m1_subset_1(v1, v2)))
% 86.02/12.18
% 86.02/12.18 (dt_k6_lattices)
% 86.02/12.18 ! [v0: $i] : ! [v1: $i] : ( ~ (k6_lattices(v0) = v1) | ~ $i(v0) | ~
% 86.02/12.18 l2_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 &
% 86.02/12.18 $i(v2) & m1_subset_1(v1, v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.02/12.18 (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l2_lattices(v0) | v3_struct_0(v0) |
% 86.02/12.18 ? [v2: $i] : (k6_lattices(v0) = v2 & $i(v2) & m1_subset_1(v2, v1)))
% 86.02/12.18
% 86.02/12.18 (dt_k7_lattices)
% 86.02/12.19 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k7_lattices(v0, v1) = v2) | ~
% 86.02/12.19 $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] :
% 86.02/12.19 (u1_struct_0(v0) = v3 & $i(v3) & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2,
% 86.02/12.19 v3))))
% 86.02/12.19
% 86.02/12.19 (dt_k7_lopclset)
% 86.02/12.19 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 86.02/12.19 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.02/12.19 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 86.02/12.19 : (k7_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 &
% 86.02/12.19 $i(v4) & $i(v3) & $i(v2) & m1_subset_1(v2, v4))) & ! [v0: $i] : ! [v1:
% 86.02/12.19 $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.02/12.19 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 86.02/12.19 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (u1_struct_0(v0) = v2 &
% 86.02/12.19 k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & $i(v4) & $i(v3) & $i(v2) &
% 86.02/12.19 m1_subset_1(v1, v4)))
% 86.02/12.19
% 86.02/12.19 (dt_k9_lopclset)
% 86.43/12.20 ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.20 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1)
% 86.43/12.20 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.43/12.20 (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.43/12.20 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 86.43/12.20 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (u1_struct_0(v0) = v2 &
% 86.43/12.20 k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) &
% 86.43/12.20 m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) & ! [v0: $i] : ! [v1:
% 86.43/12.20 $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.43/12.20 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 86.43/12.20 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k9_lopclset(v0) = v2 &
% 86.43/12.20 k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) &
% 86.43/12.20 m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2))) & !
% 86.43/12.20 [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.20 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.20 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 86.43/12.20 : (k9_lopclset(v0) = v2 & u1_struct_0(v0) = v3 & k1_zfmisc_1(v1) = v4 &
% 86.43/12.20 $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3,
% 86.43/12.20 v4) & v1_funct_1(v2)))
% 86.43/12.20
% 86.43/12.20 (dt_l3_lattices)
% 86.43/12.20 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i]
% 86.43/12.20 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 86.43/12.20
% 86.43/12.20 (t28_lopclset)
% 86.43/12.21 ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.21 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.21 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 86.43/12.21 : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 &
% 86.43/12.21 $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : ( ~ (k8_funct_2(v2,
% 86.43/12.21 v4, v1, v5) = v6) | ~ $i(v5) | ~ m1_subset_1(v5, v2) | ? [v7: $i]
% 86.43/12.21 : ? [v8: $i] : (k4_xboole_0(v3, v6) = v7 & k8_funct_2(v2, v4, v1, v8) =
% 86.43/12.21 v7 & k7_lattices(v0, v5) = v8 & $i(v8) & $i(v7))) & ! [v5: $i] : !
% 86.43/12.21 [v6: $i] : ( ~ (k7_lattices(v0, v5) = v6) | ~ $i(v5) | ~ m1_subset_1(v5,
% 86.43/12.21 v2) | ? [v7: $i] : ? [v8: $i] : (k4_xboole_0(v3, v7) = v8 &
% 86.43/12.21 k8_funct_2(v2, v4, v1, v6) = v8 & k8_funct_2(v2, v4, v1, v5) = v7 &
% 86.43/12.21 $i(v8) & $i(v7))))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0)
% 86.43/12.21 = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~
% 86.43/12.21 v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3:
% 86.43/12.21 $i] : ? [v4: $i] : (k9_lopclset(v0) = v4 & k7_lopclset(v0) = v2 &
% 86.43/12.21 k1_zfmisc_1(v2) = v3 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6:
% 86.43/12.21 $i] : ( ~ (k8_funct_2(v1, v3, v4, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.21 m1_subset_1(v5, v1) | ? [v7: $i] : ? [v8: $i] : (k4_xboole_0(v2, v6) =
% 86.43/12.21 v7 & k8_funct_2(v1, v3, v4, v8) = v7 & k7_lattices(v0, v5) = v8 &
% 86.43/12.21 $i(v8) & $i(v7))) & ! [v5: $i] : ! [v6: $i] : ( ~ (k7_lattices(v0,
% 86.43/12.21 v5) = v6) | ~ $i(v5) | ~ m1_subset_1(v5, v1) | ? [v7: $i] : ?
% 86.43/12.21 [v8: $i] : (k4_xboole_0(v2, v7) = v8 & k8_funct_2(v1, v3, v4, v6) = v8 &
% 86.43/12.21 k8_funct_2(v1, v3, v4, v5) = v7 & $i(v8) & $i(v7))))) & ! [v0: $i] :
% 86.43/12.21 ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.43/12.21 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 86.43/12.21 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k9_lopclset(v0) = v4 &
% 86.43/12.21 u1_struct_0(v0) = v2 & k1_zfmisc_1(v1) = v3 & $i(v4) & $i(v3) & $i(v2) &
% 86.43/12.21 ! [v5: $i] : ! [v6: $i] : ( ~ (k8_funct_2(v2, v3, v4, v5) = v6) | ~
% 86.43/12.21 $i(v5) | ~ m1_subset_1(v5, v2) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.21 (k4_xboole_0(v1, v6) = v7 & k8_funct_2(v2, v3, v4, v8) = v7 &
% 86.43/12.21 k7_lattices(v0, v5) = v8 & $i(v8) & $i(v7))) & ! [v5: $i] : ! [v6:
% 86.43/12.21 $i] : ( ~ (k7_lattices(v0, v5) = v6) | ~ $i(v5) | ~ m1_subset_1(v5,
% 86.43/12.21 v2) | ? [v7: $i] : ? [v8: $i] : (k4_xboole_0(v1, v7) = v8 &
% 86.43/12.21 k8_funct_2(v2, v3, v4, v6) = v8 & k8_funct_2(v2, v3, v4, v5) = v7 &
% 86.43/12.21 $i(v8) & $i(v7)))))
% 86.43/12.21
% 86.43/12.21 (t36_lopclset)
% 86.43/12.21 $i(k1_xboole_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~
% 86.43/12.21 $i(v0) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.21 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 86.43/12.21 : ? [v5: $i] : (k8_funct_2(v2, v4, v1, v5) = k1_xboole_0 & u1_struct_0(v0)
% 86.43/12.21 = v2 & k5_lattices(v0) = v5 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4
% 86.43/12.21 & $i(v5) & $i(v4) & $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.43/12.21 (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.43/12.21 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 86.43/12.21 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (k9_lopclset(v0) =
% 86.43/12.21 v4 & k8_funct_2(v1, v3, v4, v5) = k1_xboole_0 & k5_lattices(v0) = v5 &
% 86.43/12.21 k7_lopclset(v0) = v2 & k1_zfmisc_1(v2) = v3 & $i(v5) & $i(v4) & $i(v3) &
% 86.43/12.21 $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (k5_lattices(v0) = v1) | ~
% 86.43/12.21 $i(v0) | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.21 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 86.43/12.21 : ? [v5: $i] : (k9_lopclset(v0) = v5 & k8_funct_2(v2, v4, v5, v1) =
% 86.43/12.21 k1_xboole_0 & u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 &
% 86.43/12.21 k1_zfmisc_1(v3) = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2))) & ! [v0: $i] :
% 86.43/12.21 ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.43/12.21 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 86.43/12.21 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (k9_lopclset(v0) =
% 86.43/12.21 v4 & k8_funct_2(v2, v3, v4, v5) = k1_xboole_0 & u1_struct_0(v0) = v2 &
% 86.43/12.21 k5_lattices(v0) = v5 & k1_zfmisc_1(v1) = v3 & $i(v5) & $i(v4) & $i(v3) &
% 86.43/12.21 $i(v2)))
% 86.43/12.21
% 86.43/12.21 (t37_lattice4)
% 86.43/12.21 ! [v0: $i] : ! [v1: $i] : ( ~ (k6_lattices(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.21 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.21 v3_struct_0(v0) | ? [v2: $i] : (k7_lattices(v0, v2) = v1 & k5_lattices(v0)
% 86.43/12.21 = v2 & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.43/12.21 (k5_lattices(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 86.43/12.21 v17_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] :
% 86.43/12.21 (k7_lattices(v0, v1) = v2 & k6_lattices(v0) = v2 & $i(v2)))
% 86.43/12.21
% 86.43/12.21 (t37_lopclset)
% 86.43/12.21 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 86.43/12.21 $i] : ? [v6: $i] : ( ~ (v6 = v2) & k9_lopclset(v0) = v4 & k8_funct_2(v1,
% 86.43/12.21 v3, v4, v5) = v6 & k6_lattices(v0) = v5 & u1_struct_0(v0) = v1 &
% 86.43/12.21 k7_lopclset(v0) = v2 & k1_zfmisc_1(v2) = v3 & $i(v6) & $i(v5) & $i(v4) &
% 86.43/12.21 $i(v3) & $i(v2) & $i(v1) & $i(v0) & l3_lattices(v0) & v17_lattices(v0) &
% 86.43/12.21 v10_lattices(v0) & ~ v3_realset2(v0) & ~ v3_struct_0(v0))
% 86.43/12.21
% 86.43/12.21 (t3_boole)
% 86.43/12.21 $i(k1_xboole_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (k4_xboole_0(v0,
% 86.43/12.21 k1_xboole_0) = v1) | ~ $i(v0))
% 86.43/12.21
% 86.43/12.21 (function-axioms)
% 86.43/12.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 86.43/12.22 $i] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5,
% 86.43/12.22 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 86.43/12.22 $i] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) =
% 86.43/12.22 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 86.43/12.22 ~ (k4_xboole_0(v3, v2) = v1) | ~ (k4_xboole_0(v3, v2) = v0)) & ! [v0: $i]
% 86.43/12.22 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k7_lattices(v3, v2)
% 86.43/12.22 = v1) | ~ (k7_lattices(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 86.43/12.22 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~
% 86.43/12.22 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 86.43/12.22 = v0 | ~ (k9_lopclset(v2) = v1) | ~ (k9_lopclset(v2) = v0)) & ! [v0: $i]
% 86.43/12.22 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k8_lopclset(v2) = v1) | ~
% 86.43/12.22 (k8_lopclset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 86.43/12.22 | ~ (k6_lattices(v2) = v1) | ~ (k6_lattices(v2) = v0)) & ! [v0: $i] : !
% 86.43/12.22 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~
% 86.43/12.22 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 86.43/12.22 | ~ (k5_lattices(v2) = v1) | ~ (k5_lattices(v2) = v0)) & ! [v0: $i] : !
% 86.43/12.22 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (a_1_1_lopclset(v2) = v1) | ~
% 86.43/12.22 (a_1_1_lopclset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 86.43/12.22 v0 | ~ (k7_lopclset(v2) = v1) | ~ (k7_lopclset(v2) = v0)) & ! [v0: $i] :
% 86.43/12.22 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~
% 86.43/12.22 (k1_zfmisc_1(v2) = v0))
% 86.43/12.22
% 86.43/12.22 Further assumptions not needed in the proof:
% 86.43/12.22 --------------------------------------------
% 86.43/12.22 antisymmetry_r2_hidden, cc10_membered, cc11_membered, cc12_membered,
% 86.43/12.22 cc13_membered, cc14_membered, cc15_membered, cc16_membered, cc17_membered,
% 86.43/12.22 cc18_membered, cc19_membered, cc1_finset_1, cc1_finsub_1, cc1_funct_2,
% 86.43/12.22 cc1_lattices, cc1_membered, cc1_relset_1, cc20_membered, cc2_finset_1,
% 86.43/12.22 cc2_finsub_1, cc2_lattices, cc2_membered, cc3_lattices, cc3_membered,
% 86.43/12.22 cc4_lattices, cc4_membered, cc5_funct_2, cc5_lattices, cc6_funct_2,
% 86.43/12.22 cc6_lattices, cc7_lattices, d5_lopclset, dt_k1_funct_1, dt_k1_xboole_0,
% 86.43/12.22 dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k4_xboole_0, dt_k8_funct_2, dt_k8_lopclset,
% 86.43/12.22 dt_l1_lattices, dt_l1_struct_0, dt_l2_lattices, dt_m1_filter_0, dt_m1_relset_1,
% 86.43/12.22 dt_m1_subset_1, dt_m2_relset_1, dt_u1_struct_0, existence_l1_lattices,
% 86.43/12.22 existence_l1_struct_0, existence_l2_lattices, existence_l3_lattices,
% 86.43/12.22 existence_m1_filter_0, existence_m1_relset_1, existence_m1_subset_1,
% 86.43/12.22 existence_m2_relset_1, fc12_finset_1, fc14_finset_1, fc1_finsub_1, fc1_struct_0,
% 86.43/12.22 fc2_lopclset, fc37_membered, fc38_membered, fc39_membered, fc40_membered,
% 86.43/12.22 fc41_membered, fc6_membered, fraenkel_a_1_1_lopclset, rc1_finset_1, rc1_funct_2,
% 86.43/12.22 rc1_lopclset, rc1_membered, rc2_partfun1, rc3_finset_1, rc3_struct_0,
% 86.43/12.22 rc4_finset_1, rc5_struct_0, redefinition_k8_funct_2, redefinition_k9_lopclset,
% 86.43/12.22 redefinition_m2_relset_1, reflexivity_r1_tarski, t1_subset, t2_subset,
% 86.43/12.22 t2_tarski, t3_subset, t4_boole, t4_subset, t5_subset, t6_boole, t7_boole,
% 86.43/12.22 t8_boole
% 86.43/12.22
% 86.43/12.22 Those formulas are unsatisfiable:
% 86.43/12.22 ---------------------------------
% 86.43/12.22
% 86.43/12.22 Begin of proof
% 86.43/12.22 |
% 86.43/12.22 | ALPHA: (dt_k5_lattices) implies:
% 86.43/12.22 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (k5_lattices(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.22 | l1_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) =
% 86.43/12.22 | v2 & $i(v2) & m1_subset_1(v1, v2)))
% 86.43/12.22 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.22 | l1_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : (k5_lattices(v0) =
% 86.43/12.22 | v2 & $i(v2) & m1_subset_1(v2, v1)))
% 86.43/12.22 |
% 86.43/12.22 | ALPHA: (dt_k6_lattices) implies:
% 86.43/12.22 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.22 | l2_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : (k6_lattices(v0) =
% 86.43/12.22 | v2 & $i(v2) & m1_subset_1(v2, v1)))
% 86.43/12.23 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (k6_lattices(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.23 | l2_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) =
% 86.43/12.23 | v2 & $i(v2) & m1_subset_1(v1, v2)))
% 86.43/12.23 |
% 86.43/12.23 | ALPHA: (dt_k7_lopclset) implies:
% 86.43/12.23 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.23 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.23 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.23 | [v4: $i] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 &
% 86.43/12.23 | k1_zfmisc_1(v2) = v3 & $i(v4) & $i(v3) & $i(v2) & m1_subset_1(v1,
% 86.43/12.23 | v4)))
% 86.43/12.23 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.23 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.23 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.23 | [v4: $i] : (k7_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 &
% 86.43/12.23 | k1_zfmisc_1(v1) = v3 & $i(v4) & $i(v3) & $i(v2) & m1_subset_1(v2,
% 86.43/12.23 | v4)))
% 86.43/12.23 |
% 86.43/12.23 | ALPHA: (dt_k9_lopclset) implies:
% 86.43/12.23 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.23 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.23 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.23 | [v4: $i] : (k9_lopclset(v0) = v2 & u1_struct_0(v0) = v3 &
% 86.43/12.23 | k1_zfmisc_1(v1) = v4 & $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v2,
% 86.43/12.23 | v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2)))
% 86.43/12.23 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.23 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.23 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.23 | [v4: $i] : (k9_lopclset(v0) = v2 & k7_lopclset(v0) = v3 &
% 86.43/12.23 | k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v2,
% 86.43/12.23 | v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2)))
% 86.43/12.23 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 86.43/12.23 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.23 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.23 | [v4: $i] : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 &
% 86.43/12.23 | k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v1,
% 86.43/12.23 | v2, v4) & v1_funct_2(v1, v2, v4)))
% 86.43/12.23 |
% 86.43/12.23 | ALPHA: (dt_l3_lattices) implies:
% 86.43/12.23 | (10) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 86.43/12.23 | (11) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0))
% 86.43/12.23 |
% 86.43/12.23 | ALPHA: (t28_lopclset) implies:
% 86.43/12.23 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) |
% 86.43/12.23 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.23 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.23 | [v4: $i] : (k9_lopclset(v0) = v4 & u1_struct_0(v0) = v2 &
% 86.43/12.23 | k1_zfmisc_1(v1) = v3 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : !
% 86.43/12.23 | [v6: $i] : ( ~ (k8_funct_2(v2, v3, v4, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.24 | m1_subset_1(v5, v2) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.24 | (k4_xboole_0(v1, v6) = v7 & k8_funct_2(v2, v3, v4, v8) = v7 &
% 86.43/12.24 | k7_lattices(v0, v5) = v8 & $i(v8) & $i(v7))) & ! [v5: $i] :
% 86.43/12.24 | ! [v6: $i] : ( ~ (k7_lattices(v0, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.24 | m1_subset_1(v5, v2) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.24 | (k4_xboole_0(v1, v7) = v8 & k8_funct_2(v2, v3, v4, v6) = v8 &
% 86.43/12.24 | k8_funct_2(v2, v3, v4, v5) = v7 & $i(v8) & $i(v7)))))
% 86.43/12.24 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) |
% 86.43/12.24 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.24 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.24 | [v4: $i] : (k9_lopclset(v0) = v4 & k7_lopclset(v0) = v2 &
% 86.43/12.24 | k1_zfmisc_1(v2) = v3 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : !
% 86.43/12.24 | [v6: $i] : ( ~ (k8_funct_2(v1, v3, v4, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.24 | m1_subset_1(v5, v1) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.24 | (k4_xboole_0(v2, v6) = v7 & k8_funct_2(v1, v3, v4, v8) = v7 &
% 86.43/12.24 | k7_lattices(v0, v5) = v8 & $i(v8) & $i(v7))) & ! [v5: $i] :
% 86.43/12.24 | ! [v6: $i] : ( ~ (k7_lattices(v0, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.24 | m1_subset_1(v5, v1) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.24 | (k4_xboole_0(v2, v7) = v8 & k8_funct_2(v1, v3, v4, v6) = v8 &
% 86.43/12.24 | k8_funct_2(v1, v3, v4, v5) = v7 & $i(v8) & $i(v7)))))
% 86.43/12.24 | (14) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) |
% 86.43/12.24 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.24 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.24 | [v4: $i] : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 &
% 86.43/12.24 | k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : !
% 86.43/12.24 | [v6: $i] : ( ~ (k8_funct_2(v2, v4, v1, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.24 | m1_subset_1(v5, v2) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.24 | (k4_xboole_0(v3, v6) = v7 & k8_funct_2(v2, v4, v1, v8) = v7 &
% 86.43/12.24 | k7_lattices(v0, v5) = v8 & $i(v8) & $i(v7))) & ! [v5: $i] :
% 86.43/12.24 | ! [v6: $i] : ( ~ (k7_lattices(v0, v5) = v6) | ~ $i(v5) | ~
% 86.43/12.24 | m1_subset_1(v5, v2) | ? [v7: $i] : ? [v8: $i] :
% 86.43/12.24 | (k4_xboole_0(v3, v7) = v8 & k8_funct_2(v2, v4, v1, v6) = v8 &
% 86.43/12.24 | k8_funct_2(v2, v4, v1, v5) = v7 & $i(v8) & $i(v7)))))
% 86.43/12.24 |
% 86.43/12.24 | ALPHA: (t36_lopclset) implies:
% 86.43/12.24 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) |
% 86.43/12.24 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.24 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.24 | [v4: $i] : ? [v5: $i] : (k9_lopclset(v0) = v4 & k8_funct_2(v2, v3,
% 86.43/12.24 | v4, v5) = k1_xboole_0 & u1_struct_0(v0) = v2 & k5_lattices(v0) =
% 86.43/12.24 | v5 & k1_zfmisc_1(v1) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 86.43/12.24 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) |
% 86.43/12.24 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.24 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.24 | [v4: $i] : ? [v5: $i] : (k9_lopclset(v0) = v4 & k8_funct_2(v1, v3,
% 86.43/12.24 | v4, v5) = k1_xboole_0 & k5_lattices(v0) = v5 & k7_lopclset(v0) =
% 86.43/12.24 | v2 & k1_zfmisc_1(v2) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 86.43/12.24 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) |
% 86.43/12.24 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.24 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 86.43/12.24 | [v4: $i] : ? [v5: $i] : (k8_funct_2(v2, v4, v1, v5) = k1_xboole_0 &
% 86.43/12.24 | u1_struct_0(v0) = v2 & k5_lattices(v0) = v5 & k7_lopclset(v0) = v3
% 86.43/12.24 | & k1_zfmisc_1(v3) = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 86.43/12.24 |
% 86.43/12.24 | ALPHA: (t37_lattice4) implies:
% 86.43/12.25 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (k6_lattices(v0) = v1) | ~ $i(v0) |
% 86.43/12.25 | ~ l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 86.43/12.25 | v3_struct_0(v0) | ? [v2: $i] : (k7_lattices(v0, v2) = v1 &
% 86.43/12.25 | k5_lattices(v0) = v2 & $i(v2) & $i(v1)))
% 86.43/12.25 |
% 86.43/12.25 | ALPHA: (t3_boole) implies:
% 86.43/12.25 | (19) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (k4_xboole_0(v0,
% 86.43/12.25 | k1_xboole_0) = v1) | ~ $i(v0))
% 86.43/12.25 |
% 86.43/12.25 | ALPHA: (function-axioms) implies:
% 86.43/12.25 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 86.43/12.25 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 86.43/12.25 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 86.43/12.25 | (k7_lopclset(v2) = v1) | ~ (k7_lopclset(v2) = v0))
% 86.43/12.25 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 86.43/12.25 | (k5_lattices(v2) = v1) | ~ (k5_lattices(v2) = v0))
% 86.43/12.25 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 86.43/12.25 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 86.43/12.25 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 86.43/12.25 | (k6_lattices(v2) = v1) | ~ (k6_lattices(v2) = v0))
% 86.43/12.25 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 86.43/12.25 | (k9_lopclset(v2) = v1) | ~ (k9_lopclset(v2) = v0))
% 86.43/12.25 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 86.43/12.25 | ! [v5: $i] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~
% 86.43/12.25 | (k8_funct_2(v5, v4, v3, v2) = v0))
% 86.43/12.25 |
% 86.43/12.25 | DELTA: instantiating (t37_lopclset) with fresh symbols all_102_0, all_102_1,
% 86.43/12.25 | all_102_2, all_102_3, all_102_4, all_102_5, all_102_6 gives:
% 86.43/12.25 | (27) ~ (all_102_0 = all_102_4) & k9_lopclset(all_102_6) = all_102_2 &
% 86.43/12.25 | k8_funct_2(all_102_5, all_102_3, all_102_2, all_102_1) = all_102_0 &
% 86.43/12.25 | k6_lattices(all_102_6) = all_102_1 & u1_struct_0(all_102_6) =
% 86.43/12.25 | all_102_5 & k7_lopclset(all_102_6) = all_102_4 &
% 86.43/12.25 | k1_zfmisc_1(all_102_4) = all_102_3 & $i(all_102_0) & $i(all_102_1) &
% 86.43/12.25 | $i(all_102_2) & $i(all_102_3) & $i(all_102_4) & $i(all_102_5) &
% 86.43/12.25 | $i(all_102_6) & l3_lattices(all_102_6) & v17_lattices(all_102_6) &
% 86.43/12.25 | v10_lattices(all_102_6) & ~ v3_realset2(all_102_6) & ~
% 86.43/12.25 | v3_struct_0(all_102_6)
% 86.43/12.25 |
% 86.43/12.25 | ALPHA: (27) implies:
% 86.43/12.25 | (28) ~ (all_102_0 = all_102_4)
% 86.43/12.25 | (29) ~ v3_struct_0(all_102_6)
% 86.43/12.25 | (30) ~ v3_realset2(all_102_6)
% 86.43/12.25 | (31) v10_lattices(all_102_6)
% 86.43/12.25 | (32) v17_lattices(all_102_6)
% 86.43/12.25 | (33) l3_lattices(all_102_6)
% 86.43/12.25 | (34) $i(all_102_6)
% 86.43/12.25 | (35) k1_zfmisc_1(all_102_4) = all_102_3
% 86.43/12.25 | (36) k7_lopclset(all_102_6) = all_102_4
% 86.43/12.25 | (37) u1_struct_0(all_102_6) = all_102_5
% 86.43/12.25 | (38) k6_lattices(all_102_6) = all_102_1
% 86.43/12.25 | (39) k8_funct_2(all_102_5, all_102_3, all_102_2, all_102_1) = all_102_0
% 86.43/12.25 | (40) k9_lopclset(all_102_6) = all_102_2
% 86.43/12.25 |
% 86.43/12.25 | GROUND_INST: instantiating (11) with all_102_6, simplifying with (33), (34)
% 86.43/12.25 | gives:
% 86.43/12.25 | (41) l2_lattices(all_102_6)
% 86.43/12.25 |
% 86.43/12.25 | GROUND_INST: instantiating (10) with all_102_6, simplifying with (33), (34)
% 86.43/12.25 | gives:
% 86.43/12.25 | (42) l1_lattices(all_102_6)
% 86.43/12.25 |
% 86.43/12.25 | GROUND_INST: instantiating (15) with all_102_6, all_102_4, simplifying with
% 86.43/12.25 | (29), (30), (31), (32), (33), (34), (36) gives:
% 86.43/12.25 | (43) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 86.43/12.25 | (k9_lopclset(all_102_6) = v2 & k8_funct_2(v0, v1, v2, v3) =
% 86.43/12.25 | k1_xboole_0 & u1_struct_0(all_102_6) = v0 & k5_lattices(all_102_6) =
% 86.43/12.25 | v3 & k1_zfmisc_1(all_102_4) = v1 & $i(v3) & $i(v2) & $i(v1) &
% 86.43/12.25 | $i(v0))
% 86.43/12.25 |
% 86.43/12.26 | GROUND_INST: instantiating (12) with all_102_6, all_102_4, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (36) gives:
% 86.43/12.26 | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k9_lopclset(all_102_6) = v2
% 86.43/12.26 | & u1_struct_0(all_102_6) = v0 & k1_zfmisc_1(all_102_4) = v1 & $i(v2)
% 86.43/12.26 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (k8_funct_2(v0,
% 86.43/12.26 | v1, v2, v3) = v4) | ~ $i(v3) | ~ m1_subset_1(v3, v0) | ?
% 86.43/12.26 | [v5: $i] : ? [v6: $i] : (k4_xboole_0(all_102_4, v4) = v5 &
% 86.43/12.26 | k8_funct_2(v0, v1, v2, v6) = v5 & k7_lattices(all_102_6, v3) =
% 86.43/12.26 | v6 & $i(v6) & $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~
% 86.43/12.26 | (k7_lattices(all_102_6, v3) = v4) | ~ $i(v3) | ~ m1_subset_1(v3,
% 86.43/12.26 | v0) | ? [v5: $i] : ? [v6: $i] : (k4_xboole_0(all_102_4, v5) =
% 86.43/12.26 | v6 & k8_funct_2(v0, v1, v2, v4) = v6 & k8_funct_2(v0, v1, v2,
% 86.43/12.26 | v3) = v5 & $i(v6) & $i(v5))))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (7) with all_102_6, all_102_4, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (36) gives:
% 86.43/12.26 | (45) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k9_lopclset(all_102_6) = v0
% 86.43/12.26 | & u1_struct_0(all_102_6) = v1 & k1_zfmisc_1(all_102_4) = v2 & $i(v2)
% 86.43/12.26 | & $i(v1) & $i(v0) & m2_relset_1(v0, v1, v2) & v1_funct_2(v0, v1, v2)
% 86.43/12.26 | & v1_funct_1(v0))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (5) with all_102_6, all_102_4, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (36) gives:
% 86.43/12.26 | (46) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_102_6) = v0
% 86.43/12.26 | & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) &
% 86.43/12.26 | $i(v0) & m1_subset_1(all_102_4, v2))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (16) with all_102_6, all_102_5, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (37) gives:
% 86.43/12.26 | (47) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 86.43/12.26 | (k9_lopclset(all_102_6) = v2 & k8_funct_2(all_102_5, v1, v2, v3) =
% 86.43/12.26 | k1_xboole_0 & k5_lattices(all_102_6) = v3 & k7_lopclset(all_102_6) =
% 86.43/12.26 | v0 & k1_zfmisc_1(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (13) with all_102_6, all_102_5, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (37) gives:
% 86.43/12.26 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k9_lopclset(all_102_6) = v2
% 86.43/12.26 | & k7_lopclset(all_102_6) = v0 & k1_zfmisc_1(v0) = v1 & $i(v2) &
% 86.43/12.26 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 86.43/12.26 | (k8_funct_2(all_102_5, v1, v2, v3) = v4) | ~ $i(v3) | ~
% 86.43/12.26 | m1_subset_1(v3, all_102_5) | ? [v5: $i] : ? [v6: $i] :
% 86.43/12.26 | (k4_xboole_0(v0, v4) = v5 & k8_funct_2(all_102_5, v1, v2, v6) = v5
% 86.43/12.26 | & k7_lattices(all_102_6, v3) = v6 & $i(v6) & $i(v5))) & ! [v3:
% 86.43/12.26 | $i] : ! [v4: $i] : ( ~ (k7_lattices(all_102_6, v3) = v4) | ~
% 86.43/12.26 | $i(v3) | ~ m1_subset_1(v3, all_102_5) | ? [v5: $i] : ? [v6: $i]
% 86.43/12.26 | : (k4_xboole_0(v0, v5) = v6 & k8_funct_2(all_102_5, v1, v2, v4) =
% 86.43/12.26 | v6 & k8_funct_2(all_102_5, v1, v2, v3) = v5 & $i(v6) & $i(v5))))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (8) with all_102_6, all_102_5, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (37) gives:
% 86.43/12.26 | (49) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k9_lopclset(all_102_6) = v0
% 86.43/12.26 | & k7_lopclset(all_102_6) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) &
% 86.43/12.26 | $i(v1) & $i(v0) & m2_relset_1(v0, all_102_5, v2) & v1_funct_2(v0,
% 86.43/12.26 | all_102_5, v2) & v1_funct_1(v0))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (6) with all_102_6, all_102_5, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (37) gives:
% 86.43/12.26 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_lopclset(all_102_6) = v0
% 86.43/12.26 | & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(all_102_5) = v1 & $i(v2) &
% 86.43/12.26 | $i(v1) & $i(v0) & m1_subset_1(v0, v2))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (18) with all_102_6, all_102_1, simplifying with
% 86.43/12.26 | (29), (31), (32), (33), (34), (38) gives:
% 86.43/12.26 | (51) ? [v0: $i] : (k7_lattices(all_102_6, v0) = all_102_1 &
% 86.43/12.26 | k5_lattices(all_102_6) = v0 & $i(v0) & $i(all_102_1))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (17) with all_102_6, all_102_2, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (40) gives:
% 86.43/12.26 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 86.43/12.26 | (k8_funct_2(v0, v2, all_102_2, v3) = k1_xboole_0 &
% 86.43/12.26 | u1_struct_0(all_102_6) = v0 & k5_lattices(all_102_6) = v3 &
% 86.43/12.26 | k7_lopclset(all_102_6) = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2)
% 86.43/12.26 | & $i(v1) & $i(v0))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (9) with all_102_6, all_102_2, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (40) gives:
% 86.43/12.26 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_102_6) = v0
% 86.43/12.26 | & k7_lopclset(all_102_6) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) &
% 86.43/12.26 | $i(v1) & $i(v0) & m2_relset_1(all_102_2, v0, v2) &
% 86.43/12.26 | v1_funct_2(all_102_2, v0, v2))
% 86.43/12.26 |
% 86.43/12.26 | GROUND_INST: instantiating (14) with all_102_6, all_102_2, simplifying with
% 86.43/12.26 | (29), (30), (31), (32), (33), (34), (40) gives:
% 86.43/12.27 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_102_6) = v0
% 86.43/12.27 | & k7_lopclset(all_102_6) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) &
% 86.43/12.27 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (k8_funct_2(v0,
% 86.43/12.27 | v2, all_102_2, v3) = v4) | ~ $i(v3) | ~ m1_subset_1(v3, v0)
% 86.43/12.27 | | ? [v5: $i] : ? [v6: $i] : (k4_xboole_0(v1, v4) = v5 &
% 86.43/12.27 | k8_funct_2(v0, v2, all_102_2, v6) = v5 & k7_lattices(all_102_6,
% 86.43/12.27 | v3) = v6 & $i(v6) & $i(v5))) & ! [v3: $i] : ! [v4: $i] : ( ~
% 86.43/12.27 | (k7_lattices(all_102_6, v3) = v4) | ~ $i(v3) | ~ m1_subset_1(v3,
% 86.43/12.27 | v0) | ? [v5: $i] : ? [v6: $i] : (k4_xboole_0(v1, v5) = v6 &
% 86.43/12.27 | k8_funct_2(v0, v2, all_102_2, v4) = v6 & k8_funct_2(v0, v2,
% 86.43/12.27 | all_102_2, v3) = v5 & $i(v6) & $i(v5))))
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (51) with fresh symbol all_118_0 gives:
% 86.43/12.27 | (55) k7_lattices(all_102_6, all_118_0) = all_102_1 & k5_lattices(all_102_6)
% 86.43/12.27 | = all_118_0 & $i(all_118_0) & $i(all_102_1)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (55) implies:
% 86.43/12.27 | (56) k5_lattices(all_102_6) = all_118_0
% 86.43/12.27 | (57) k7_lattices(all_102_6, all_118_0) = all_102_1
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (50) with fresh symbols all_120_0, all_120_1, all_120_2
% 86.43/12.27 | gives:
% 86.43/12.27 | (58) k7_lopclset(all_102_6) = all_120_2 & k1_zfmisc_1(all_120_1) =
% 86.43/12.27 | all_120_0 & k1_zfmisc_1(all_102_5) = all_120_1 & $i(all_120_0) &
% 86.43/12.27 | $i(all_120_1) & $i(all_120_2) & m1_subset_1(all_120_2, all_120_0)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (58) implies:
% 86.43/12.27 | (59) $i(all_120_2)
% 86.43/12.27 | (60) k7_lopclset(all_102_6) = all_120_2
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (46) with fresh symbols all_122_0, all_122_1, all_122_2
% 86.43/12.27 | gives:
% 86.43/12.27 | (61) u1_struct_0(all_102_6) = all_122_2 & k1_zfmisc_1(all_122_1) =
% 86.43/12.27 | all_122_0 & k1_zfmisc_1(all_122_2) = all_122_1 & $i(all_122_0) &
% 86.43/12.27 | $i(all_122_1) & $i(all_122_2) & m1_subset_1(all_102_4, all_122_0)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (61) implies:
% 86.43/12.27 | (62) u1_struct_0(all_102_6) = all_122_2
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (53) with fresh symbols all_124_0, all_124_1, all_124_2
% 86.43/12.27 | gives:
% 86.43/12.27 | (63) u1_struct_0(all_102_6) = all_124_2 & k7_lopclset(all_102_6) =
% 86.43/12.27 | all_124_1 & k1_zfmisc_1(all_124_1) = all_124_0 & $i(all_124_0) &
% 86.43/12.27 | $i(all_124_1) & $i(all_124_2) & m2_relset_1(all_102_2, all_124_2,
% 86.43/12.27 | all_124_0) & v1_funct_2(all_102_2, all_124_2, all_124_0)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (63) implies:
% 86.43/12.27 | (64) k1_zfmisc_1(all_124_1) = all_124_0
% 86.43/12.27 | (65) k7_lopclset(all_102_6) = all_124_1
% 86.43/12.27 | (66) u1_struct_0(all_102_6) = all_124_2
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (47) with fresh symbols all_129_0, all_129_1, all_129_2,
% 86.43/12.27 | all_129_3 gives:
% 86.43/12.27 | (67) k9_lopclset(all_102_6) = all_129_1 & k8_funct_2(all_102_5, all_129_2,
% 86.43/12.27 | all_129_1, all_129_0) = k1_xboole_0 & k5_lattices(all_102_6) =
% 86.43/12.27 | all_129_0 & k7_lopclset(all_102_6) = all_129_3 &
% 86.43/12.27 | k1_zfmisc_1(all_129_3) = all_129_2 & $i(all_129_0) & $i(all_129_1) &
% 86.43/12.27 | $i(all_129_2) & $i(all_129_3)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (67) implies:
% 86.43/12.27 | (68) $i(all_129_0)
% 86.43/12.27 | (69) k1_zfmisc_1(all_129_3) = all_129_2
% 86.43/12.27 | (70) k7_lopclset(all_102_6) = all_129_3
% 86.43/12.27 | (71) k5_lattices(all_102_6) = all_129_0
% 86.43/12.27 | (72) k8_funct_2(all_102_5, all_129_2, all_129_1, all_129_0) = k1_xboole_0
% 86.43/12.27 | (73) k9_lopclset(all_102_6) = all_129_1
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (43) with fresh symbols all_131_0, all_131_1, all_131_2,
% 86.43/12.27 | all_131_3 gives:
% 86.43/12.27 | (74) k9_lopclset(all_102_6) = all_131_1 & k8_funct_2(all_131_3, all_131_2,
% 86.43/12.27 | all_131_1, all_131_0) = k1_xboole_0 & u1_struct_0(all_102_6) =
% 86.43/12.27 | all_131_3 & k5_lattices(all_102_6) = all_131_0 &
% 86.43/12.27 | k1_zfmisc_1(all_102_4) = all_131_2 & $i(all_131_0) & $i(all_131_1) &
% 86.43/12.27 | $i(all_131_2) & $i(all_131_3)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (74) implies:
% 86.43/12.27 | (75) k5_lattices(all_102_6) = all_131_0
% 86.43/12.27 | (76) u1_struct_0(all_102_6) = all_131_3
% 86.43/12.27 | (77) k9_lopclset(all_102_6) = all_131_1
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (52) with fresh symbols all_133_0, all_133_1, all_133_2,
% 86.43/12.27 | all_133_3 gives:
% 86.43/12.27 | (78) k8_funct_2(all_133_3, all_133_1, all_102_2, all_133_0) = k1_xboole_0 &
% 86.43/12.27 | u1_struct_0(all_102_6) = all_133_3 & k5_lattices(all_102_6) =
% 86.43/12.27 | all_133_0 & k7_lopclset(all_102_6) = all_133_2 &
% 86.43/12.27 | k1_zfmisc_1(all_133_2) = all_133_1 & $i(all_133_0) & $i(all_133_1) &
% 86.43/12.27 | $i(all_133_2) & $i(all_133_3)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (78) implies:
% 86.43/12.27 | (79) k7_lopclset(all_102_6) = all_133_2
% 86.43/12.27 | (80) k5_lattices(all_102_6) = all_133_0
% 86.43/12.27 | (81) u1_struct_0(all_102_6) = all_133_3
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (45) with fresh symbols all_135_0, all_135_1, all_135_2
% 86.43/12.27 | gives:
% 86.43/12.27 | (82) k9_lopclset(all_102_6) = all_135_2 & u1_struct_0(all_102_6) =
% 86.43/12.27 | all_135_1 & k1_zfmisc_1(all_102_4) = all_135_0 & $i(all_135_0) &
% 86.43/12.27 | $i(all_135_1) & $i(all_135_2) & m2_relset_1(all_135_2, all_135_1,
% 86.43/12.27 | all_135_0) & v1_funct_2(all_135_2, all_135_1, all_135_0) &
% 86.43/12.27 | v1_funct_1(all_135_2)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (82) implies:
% 86.43/12.27 | (83) u1_struct_0(all_102_6) = all_135_1
% 86.43/12.27 | (84) k9_lopclset(all_102_6) = all_135_2
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (49) with fresh symbols all_137_0, all_137_1, all_137_2
% 86.43/12.27 | gives:
% 86.43/12.27 | (85) k9_lopclset(all_102_6) = all_137_2 & k7_lopclset(all_102_6) =
% 86.43/12.27 | all_137_1 & k1_zfmisc_1(all_137_1) = all_137_0 & $i(all_137_0) &
% 86.43/12.27 | $i(all_137_1) & $i(all_137_2) & m2_relset_1(all_137_2, all_102_5,
% 86.43/12.27 | all_137_0) & v1_funct_2(all_137_2, all_102_5, all_137_0) &
% 86.43/12.27 | v1_funct_1(all_137_2)
% 86.43/12.27 |
% 86.43/12.27 | ALPHA: (85) implies:
% 86.43/12.27 | (86) k1_zfmisc_1(all_137_1) = all_137_0
% 86.43/12.27 | (87) k7_lopclset(all_102_6) = all_137_1
% 86.43/12.27 | (88) k9_lopclset(all_102_6) = all_137_2
% 86.43/12.27 |
% 86.43/12.27 | DELTA: instantiating (44) with fresh symbols all_139_0, all_139_1, all_139_2
% 86.43/12.27 | gives:
% 86.43/12.27 | (89) k9_lopclset(all_102_6) = all_139_0 & u1_struct_0(all_102_6) =
% 86.43/12.27 | all_139_2 & k1_zfmisc_1(all_102_4) = all_139_1 & $i(all_139_0) &
% 86.43/12.27 | $i(all_139_1) & $i(all_139_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.43/12.27 | (k8_funct_2(all_139_2, all_139_1, all_139_0, v0) = v1) | ~ $i(v0) |
% 86.43/12.27 | ~ m1_subset_1(v0, all_139_2) | ? [v2: $i] : ? [v3: $i] :
% 86.43/12.27 | (k4_xboole_0(all_102_4, v1) = v2 & k8_funct_2(all_139_2, all_139_1,
% 86.43/12.27 | all_139_0, v3) = v2 & k7_lattices(all_102_6, v0) = v3 & $i(v3) &
% 86.43/12.27 | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lattices(all_102_6,
% 86.43/12.27 | v0) = v1) | ~ $i(v0) | ~ m1_subset_1(v0, all_139_2) | ? [v2:
% 86.43/12.27 | $i] : ? [v3: $i] : (k4_xboole_0(all_102_4, v2) = v3 &
% 86.43/12.27 | k8_funct_2(all_139_2, all_139_1, all_139_0, v1) = v3 &
% 86.43/12.27 | k8_funct_2(all_139_2, all_139_1, all_139_0, v0) = v2 & $i(v3) &
% 86.43/12.27 | $i(v2)))
% 86.43/12.28 |
% 86.43/12.28 | ALPHA: (89) implies:
% 86.43/12.28 | (90) u1_struct_0(all_102_6) = all_139_2
% 86.43/12.28 | (91) k9_lopclset(all_102_6) = all_139_0
% 86.43/12.28 |
% 86.43/12.28 | DELTA: instantiating (48) with fresh symbols all_142_0, all_142_1, all_142_2
% 86.43/12.28 | gives:
% 86.43/12.28 | (92) k9_lopclset(all_102_6) = all_142_0 & k7_lopclset(all_102_6) =
% 86.43/12.28 | all_142_2 & k1_zfmisc_1(all_142_2) = all_142_1 & $i(all_142_0) &
% 86.43/12.28 | $i(all_142_1) & $i(all_142_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.43/12.28 | (k8_funct_2(all_102_5, all_142_1, all_142_0, v0) = v1) | ~ $i(v0) |
% 86.43/12.28 | ~ m1_subset_1(v0, all_102_5) | ? [v2: $i] : ? [v3: $i] :
% 86.43/12.28 | (k4_xboole_0(all_142_2, v1) = v2 & k8_funct_2(all_102_5, all_142_1,
% 86.43/12.28 | all_142_0, v3) = v2 & k7_lattices(all_102_6, v0) = v3 & $i(v3) &
% 86.43/12.28 | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lattices(all_102_6,
% 86.43/12.28 | v0) = v1) | ~ $i(v0) | ~ m1_subset_1(v0, all_102_5) | ? [v2:
% 86.43/12.28 | $i] : ? [v3: $i] : (k4_xboole_0(all_142_2, v2) = v3 &
% 86.43/12.28 | k8_funct_2(all_102_5, all_142_1, all_142_0, v1) = v3 &
% 86.43/12.28 | k8_funct_2(all_102_5, all_142_1, all_142_0, v0) = v2 & $i(v3) &
% 86.43/12.28 | $i(v2)))
% 86.43/12.28 |
% 86.43/12.28 | ALPHA: (92) implies:
% 86.43/12.28 | (93) k1_zfmisc_1(all_142_2) = all_142_1
% 86.43/12.28 | (94) k7_lopclset(all_102_6) = all_142_2
% 86.43/12.28 | (95) k9_lopclset(all_102_6) = all_142_0
% 86.43/12.28 | (96) ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lattices(all_102_6, v0) = v1) | ~
% 86.43/12.28 | $i(v0) | ~ m1_subset_1(v0, all_102_5) | ? [v2: $i] : ? [v3: $i] :
% 86.43/12.28 | (k4_xboole_0(all_142_2, v2) = v3 & k8_funct_2(all_102_5, all_142_1,
% 86.43/12.28 | all_142_0, v1) = v3 & k8_funct_2(all_102_5, all_142_1,
% 86.43/12.28 | all_142_0, v0) = v2 & $i(v3) & $i(v2)))
% 86.43/12.28 |
% 86.43/12.28 | DELTA: instantiating (54) with fresh symbols all_145_0, all_145_1, all_145_2
% 86.43/12.28 | gives:
% 86.43/12.28 | (97) u1_struct_0(all_102_6) = all_145_2 & k7_lopclset(all_102_6) =
% 86.43/12.28 | all_145_1 & k1_zfmisc_1(all_145_1) = all_145_0 & $i(all_145_0) &
% 86.43/12.28 | $i(all_145_1) & $i(all_145_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 86.43/12.28 | (k8_funct_2(all_145_2, all_145_0, all_102_2, v0) = v1) | ~ $i(v0) |
% 86.43/12.28 | ~ m1_subset_1(v0, all_145_2) | ? [v2: $i] : ? [v3: $i] :
% 86.43/12.28 | (k4_xboole_0(all_145_1, v1) = v2 & k8_funct_2(all_145_2, all_145_0,
% 86.43/12.28 | all_102_2, v3) = v2 & k7_lattices(all_102_6, v0) = v3 & $i(v3) &
% 86.43/12.28 | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lattices(all_102_6,
% 86.43/12.28 | v0) = v1) | ~ $i(v0) | ~ m1_subset_1(v0, all_145_2) | ? [v2:
% 86.43/12.28 | $i] : ? [v3: $i] : (k4_xboole_0(all_145_1, v2) = v3 &
% 86.43/12.28 | k8_funct_2(all_145_2, all_145_0, all_102_2, v1) = v3 &
% 86.43/12.28 | k8_funct_2(all_145_2, all_145_0, all_102_2, v0) = v2 & $i(v3) &
% 86.43/12.28 | $i(v2)))
% 86.43/12.28 |
% 86.43/12.28 | ALPHA: (97) implies:
% 86.43/12.28 | (98) k1_zfmisc_1(all_145_1) = all_145_0
% 86.43/12.28 | (99) k7_lopclset(all_102_6) = all_145_1
% 86.43/12.28 | (100) u1_struct_0(all_102_6) = all_145_2
% 86.43/12.28 | (101) ! [v0: $i] : ! [v1: $i] : ( ~ (k8_funct_2(all_145_2, all_145_0,
% 86.43/12.28 | all_102_2, v0) = v1) | ~ $i(v0) | ~ m1_subset_1(v0,
% 86.43/12.28 | all_145_2) | ? [v2: $i] : ? [v3: $i] : (k4_xboole_0(all_145_1,
% 86.43/12.28 | v1) = v2 & k8_funct_2(all_145_2, all_145_0, all_102_2, v3) = v2
% 86.43/12.28 | & k7_lattices(all_102_6, v0) = v3 & $i(v3) & $i(v2)))
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (20) with all_124_0, all_137_0, all_124_1,
% 86.43/12.28 | simplifying with (64) gives:
% 86.43/12.28 | (102) all_137_0 = all_124_0 | ~ (k1_zfmisc_1(all_124_1) = all_137_0)
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (20) with all_137_0, all_142_1, all_137_1,
% 86.43/12.28 | simplifying with (86) gives:
% 86.43/12.28 | (103) all_142_1 = all_137_0 | ~ (k1_zfmisc_1(all_137_1) = all_142_1)
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (20) with all_102_3, all_145_0, all_102_4,
% 86.43/12.28 | simplifying with (35) gives:
% 86.43/12.28 | (104) all_145_0 = all_102_3 | ~ (k1_zfmisc_1(all_102_4) = all_145_0)
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (20) with all_137_0, all_145_0, all_137_1,
% 86.43/12.28 | simplifying with (86) gives:
% 86.43/12.28 | (105) all_145_0 = all_137_0 | ~ (k1_zfmisc_1(all_137_1) = all_145_0)
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (20) with all_129_2, all_145_0, all_129_3,
% 86.43/12.28 | simplifying with (69) gives:
% 86.43/12.28 | (106) all_145_0 = all_129_2 | ~ (k1_zfmisc_1(all_129_3) = all_145_0)
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_120_2, all_124_1, all_102_6,
% 86.43/12.28 | simplifying with (60), (65) gives:
% 86.43/12.28 | (107) all_124_1 = all_120_2
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_124_1, all_129_3, all_102_6,
% 86.43/12.28 | simplifying with (65), (70) gives:
% 86.43/12.28 | (108) all_129_3 = all_124_1
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_129_3, all_133_2, all_102_6,
% 86.43/12.28 | simplifying with (70), (79) gives:
% 86.43/12.28 | (109) all_133_2 = all_129_3
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_102_4, all_145_1, all_102_6,
% 86.43/12.28 | simplifying with (36), (99) gives:
% 86.43/12.28 | (110) all_145_1 = all_102_4
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_142_2, all_145_1, all_102_6,
% 86.43/12.28 | simplifying with (94), (99) gives:
% 86.43/12.28 | (111) all_145_1 = all_142_2
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_137_1, all_145_1, all_102_6,
% 86.43/12.28 | simplifying with (87), (99) gives:
% 86.43/12.28 | (112) all_145_1 = all_137_1
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (21) with all_133_2, all_145_1, all_102_6,
% 86.43/12.28 | simplifying with (79), (99) gives:
% 86.43/12.28 | (113) all_145_1 = all_133_2
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (22) with all_131_0, all_133_0, all_102_6,
% 86.43/12.28 | simplifying with (75), (80) gives:
% 86.43/12.28 | (114) all_133_0 = all_131_0
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (22) with all_129_0, all_133_0, all_102_6,
% 86.43/12.28 | simplifying with (71), (80) gives:
% 86.43/12.28 | (115) all_133_0 = all_129_0
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (22) with all_118_0, all_133_0, all_102_6,
% 86.43/12.28 | simplifying with (56), (80) gives:
% 86.43/12.28 | (116) all_133_0 = all_118_0
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (23) with all_133_3, all_135_1, all_102_6,
% 86.43/12.28 | simplifying with (81), (83) gives:
% 86.43/12.28 | (117) all_135_1 = all_133_3
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (23) with all_124_2, all_135_1, all_102_6,
% 86.43/12.28 | simplifying with (66), (83) gives:
% 86.43/12.28 | (118) all_135_1 = all_124_2
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (23) with all_102_5, all_139_2, all_102_6,
% 86.43/12.28 | simplifying with (37), (90) gives:
% 86.43/12.28 | (119) all_139_2 = all_102_5
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (23) with all_133_3, all_139_2, all_102_6,
% 86.43/12.28 | simplifying with (81), (90) gives:
% 86.43/12.28 | (120) all_139_2 = all_133_3
% 86.43/12.28 |
% 86.43/12.28 | GROUND_INST: instantiating (23) with all_131_3, all_139_2, all_102_6,
% 86.43/12.28 | simplifying with (76), (90) gives:
% 86.43/12.28 | (121) all_139_2 = all_131_3
% 86.43/12.28 |
% 86.43/12.29 | GROUND_INST: instantiating (23) with all_139_2, all_145_2, all_102_6,
% 86.43/12.29 | simplifying with (90), (100) gives:
% 86.43/12.29 | (122) all_145_2 = all_139_2
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (23) with all_122_2, all_145_2, all_102_6,
% 86.43/12.29 | simplifying with (62), (100) gives:
% 86.43/12.29 | (123) all_145_2 = all_122_2
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (25) with all_131_1, all_135_2, all_102_6,
% 86.43/12.29 | simplifying with (77), (84) gives:
% 86.43/12.29 | (124) all_135_2 = all_131_1
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (25) with all_135_2, all_137_2, all_102_6,
% 86.43/12.29 | simplifying with (84), (88) gives:
% 86.43/12.29 | (125) all_137_2 = all_135_2
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (25) with all_129_1, all_137_2, all_102_6,
% 86.43/12.29 | simplifying with (73), (88) gives:
% 86.43/12.29 | (126) all_137_2 = all_129_1
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (25) with all_102_2, all_142_0, all_102_6,
% 86.43/12.29 | simplifying with (40), (95) gives:
% 86.43/12.29 | (127) all_142_0 = all_102_2
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (25) with all_139_0, all_142_0, all_102_6,
% 86.43/12.29 | simplifying with (91), (95) gives:
% 86.43/12.29 | (128) all_142_0 = all_139_0
% 86.43/12.29 |
% 86.43/12.29 | GROUND_INST: instantiating (25) with all_131_1, all_142_0, all_102_6,
% 86.43/12.29 | simplifying with (77), (95) gives:
% 86.43/12.29 | (129) all_142_0 = all_131_1
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (110), (111) imply:
% 86.43/12.29 | (130) all_142_2 = all_102_4
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (111), (113) imply:
% 86.43/12.29 | (131) all_142_2 = all_133_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (111), (112) imply:
% 86.43/12.29 | (132) all_142_2 = all_137_1
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (122), (123) imply:
% 86.43/12.29 | (133) all_139_2 = all_122_2
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (133) implies:
% 86.43/12.29 | (134) all_139_2 = all_122_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (127), (128) imply:
% 86.43/12.29 | (135) all_139_0 = all_102_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (128), (129) imply:
% 86.43/12.29 | (136) all_139_0 = all_131_1
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (130), (132) imply:
% 86.43/12.29 | (137) all_137_1 = all_102_4
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (131), (132) imply:
% 86.43/12.29 | (138) all_137_1 = all_133_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (135), (136) imply:
% 86.43/12.29 | (139) all_131_1 = all_102_2
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (139) implies:
% 86.43/12.29 | (140) all_131_1 = all_102_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (119), (121) imply:
% 86.43/12.29 | (141) all_131_3 = all_102_5
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (120), (121) imply:
% 86.43/12.29 | (142) all_133_3 = all_131_3
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (142) implies:
% 86.43/12.29 | (143) all_133_3 = all_131_3
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (121), (134) imply:
% 86.43/12.29 | (144) all_131_3 = all_122_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (137), (138) imply:
% 86.43/12.29 | (145) all_133_2 = all_102_4
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (145) implies:
% 86.43/12.29 | (146) all_133_2 = all_102_4
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (125), (126) imply:
% 86.43/12.29 | (147) all_135_2 = all_129_1
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (147) implies:
% 86.43/12.29 | (148) all_135_2 = all_129_1
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (117), (118) imply:
% 86.43/12.29 | (149) all_133_3 = all_124_2
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (149) implies:
% 86.43/12.29 | (150) all_133_3 = all_124_2
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (124), (148) imply:
% 86.43/12.29 | (151) all_131_1 = all_129_1
% 86.43/12.29 |
% 86.43/12.29 | SIMP: (151) implies:
% 86.43/12.29 | (152) all_131_1 = all_129_1
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (114), (116) imply:
% 86.43/12.29 | (153) all_131_0 = all_118_0
% 86.43/12.29 |
% 86.43/12.29 | COMBINE_EQS: (114), (115) imply:
% 86.43/12.29 | (154) all_131_0 = all_129_0
% 86.43/12.29 |
% 86.90/12.29 | COMBINE_EQS: (109), (146) imply:
% 86.90/12.29 | (155) all_129_3 = all_102_4
% 86.90/12.29 |
% 86.90/12.29 | SIMP: (155) implies:
% 86.90/12.29 | (156) all_129_3 = all_102_4
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (143), (150) imply:
% 86.90/12.29 | (157) all_131_3 = all_124_2
% 86.90/12.29 |
% 86.90/12.29 | SIMP: (157) implies:
% 86.90/12.29 | (158) all_131_3 = all_124_2
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (153), (154) imply:
% 86.90/12.29 | (159) all_129_0 = all_118_0
% 86.90/12.29 |
% 86.90/12.29 | SIMP: (159) implies:
% 86.90/12.29 | (160) all_129_0 = all_118_0
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (140), (152) imply:
% 86.90/12.29 | (161) all_129_1 = all_102_2
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (141), (158) imply:
% 86.90/12.29 | (162) all_124_2 = all_102_5
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (144), (158) imply:
% 86.90/12.29 | (163) all_124_2 = all_122_2
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (108), (156) imply:
% 86.90/12.29 | (164) all_124_1 = all_102_4
% 86.90/12.29 |
% 86.90/12.29 | SIMP: (164) implies:
% 86.90/12.29 | (165) all_124_1 = all_102_4
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (107), (165) imply:
% 86.90/12.29 | (166) all_120_2 = all_102_4
% 86.90/12.29 |
% 86.90/12.29 | SIMP: (166) implies:
% 86.90/12.29 | (167) all_120_2 = all_102_4
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (162), (163) imply:
% 86.90/12.29 | (168) all_122_2 = all_102_5
% 86.90/12.29 |
% 86.90/12.29 | SIMP: (168) implies:
% 86.90/12.29 | (169) all_122_2 = all_102_5
% 86.90/12.29 |
% 86.90/12.29 | COMBINE_EQS: (123), (169) imply:
% 86.90/12.29 | (170) all_145_2 = all_102_5
% 86.90/12.29 |
% 86.90/12.29 | REDUCE: (72), (160), (161) imply:
% 86.90/12.29 | (171) k8_funct_2(all_102_5, all_129_2, all_102_2, all_118_0) = k1_xboole_0
% 86.90/12.29 |
% 86.90/12.29 | REDUCE: (98), (110) imply:
% 86.90/12.29 | (172) k1_zfmisc_1(all_102_4) = all_145_0
% 86.90/12.29 |
% 86.90/12.29 | REDUCE: (93), (130) imply:
% 86.90/12.29 | (173) k1_zfmisc_1(all_102_4) = all_142_1
% 86.90/12.29 |
% 86.90/12.29 | REDUCE: (68), (160) imply:
% 86.90/12.29 | (174) $i(all_118_0)
% 86.90/12.29 |
% 86.91/12.29 | REDUCE: (59), (167) imply:
% 86.91/12.29 | (175) $i(all_102_4)
% 86.91/12.29 |
% 86.91/12.29 | BETA: splitting (106) gives:
% 86.91/12.29 |
% 86.91/12.29 | Case 1:
% 86.91/12.29 | |
% 86.91/12.29 | | (176) ~ (k1_zfmisc_1(all_129_3) = all_145_0)
% 86.91/12.29 | |
% 86.91/12.29 | | REDUCE: (156), (176) imply:
% 86.91/12.29 | | (177) ~ (k1_zfmisc_1(all_102_4) = all_145_0)
% 86.91/12.29 | |
% 86.91/12.29 | | PRED_UNIFY: (172), (177) imply:
% 86.91/12.29 | | (178) $false
% 86.91/12.29 | |
% 86.91/12.29 | | CLOSE: (178) is inconsistent.
% 86.91/12.29 | |
% 86.91/12.29 | Case 2:
% 86.91/12.29 | |
% 86.91/12.29 | | (179) all_145_0 = all_129_2
% 86.91/12.29 | |
% 86.91/12.29 | | REDUCE: (172), (179) imply:
% 86.91/12.29 | | (180) k1_zfmisc_1(all_102_4) = all_129_2
% 86.91/12.29 | |
% 86.91/12.29 | | BETA: splitting (105) gives:
% 86.91/12.29 | |
% 86.91/12.29 | | Case 1:
% 86.91/12.29 | | |
% 86.91/12.29 | | | (181) ~ (k1_zfmisc_1(all_137_1) = all_145_0)
% 86.91/12.29 | | |
% 86.91/12.29 | | | REDUCE: (137), (179), (181) imply:
% 86.91/12.30 | | | (182) ~ (k1_zfmisc_1(all_102_4) = all_129_2)
% 86.91/12.30 | | |
% 86.91/12.30 | | | PRED_UNIFY: (180), (182) imply:
% 86.91/12.30 | | | (183) $false
% 86.91/12.30 | | |
% 86.91/12.30 | | | CLOSE: (183) is inconsistent.
% 86.91/12.30 | | |
% 86.91/12.30 | | Case 2:
% 86.91/12.30 | | |
% 86.91/12.30 | | | (184) all_145_0 = all_137_0
% 86.91/12.30 | | |
% 86.91/12.30 | | | COMBINE_EQS: (179), (184) imply:
% 86.91/12.30 | | | (185) all_137_0 = all_129_2
% 86.91/12.30 | | |
% 86.91/12.30 | | | SIMP: (185) implies:
% 86.91/12.30 | | | (186) all_137_0 = all_129_2
% 86.91/12.30 | | |
% 86.91/12.30 | | | BETA: splitting (103) gives:
% 86.91/12.30 | | |
% 86.91/12.30 | | | Case 1:
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | (187) ~ (k1_zfmisc_1(all_137_1) = all_142_1)
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | REDUCE: (137), (187) imply:
% 86.91/12.30 | | | | (188) ~ (k1_zfmisc_1(all_102_4) = all_142_1)
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | PRED_UNIFY: (173), (188) imply:
% 86.91/12.30 | | | | (189) $false
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | CLOSE: (189) is inconsistent.
% 86.91/12.30 | | | |
% 86.91/12.30 | | | Case 2:
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | (190) all_142_1 = all_137_0
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | COMBINE_EQS: (186), (190) imply:
% 86.91/12.30 | | | | (191) all_142_1 = all_129_2
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | BETA: splitting (104) gives:
% 86.91/12.30 | | | |
% 86.91/12.30 | | | | Case 1:
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | (192) ~ (k1_zfmisc_1(all_102_4) = all_145_0)
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | PRED_UNIFY: (172), (192) imply:
% 86.91/12.30 | | | | | (193) $false
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | CLOSE: (193) is inconsistent.
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | Case 2:
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | (194) all_145_0 = all_102_3
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | COMBINE_EQS: (179), (194) imply:
% 86.91/12.30 | | | | | (195) all_129_2 = all_102_3
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | COMBINE_EQS: (186), (195) imply:
% 86.91/12.30 | | | | | (196) all_137_0 = all_102_3
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | COMBINE_EQS: (191), (195) imply:
% 86.91/12.30 | | | | | (197) all_142_1 = all_102_3
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | REDUCE: (171), (195) imply:
% 86.91/12.30 | | | | | (198) k8_funct_2(all_102_5, all_102_3, all_102_2, all_118_0) =
% 86.91/12.30 | | | | | k1_xboole_0
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | BETA: splitting (102) gives:
% 86.91/12.30 | | | | |
% 86.91/12.30 | | | | | Case 1:
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | (199) ~ (k1_zfmisc_1(all_124_1) = all_137_0)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | REDUCE: (165), (196), (199) imply:
% 86.91/12.30 | | | | | | (200) ~ (k1_zfmisc_1(all_102_4) = all_102_3)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | PRED_UNIFY: (35), (200) imply:
% 86.91/12.30 | | | | | | (201) $false
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | CLOSE: (201) is inconsistent.
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | Case 2:
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (2) with all_102_6, all_102_5,
% 86.91/12.30 | | | | | | simplifying with (29), (34), (37), (42) gives:
% 86.91/12.30 | | | | | | (202) ? [v0: $i] : (k5_lattices(all_102_6) = v0 & $i(v0) &
% 86.91/12.30 | | | | | | m1_subset_1(v0, all_102_5))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (4) with all_102_6, all_102_1,
% 86.91/12.30 | | | | | | simplifying with (29), (34), (38), (41) gives:
% 86.91/12.30 | | | | | | (203) ? [v0: $i] : (u1_struct_0(all_102_6) = v0 & $i(v0) &
% 86.91/12.30 | | | | | | m1_subset_1(all_102_1, v0))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (3) with all_102_6, all_102_5,
% 86.91/12.30 | | | | | | simplifying with (29), (34), (37), (41) gives:
% 86.91/12.30 | | | | | | (204) ? [v0: $i] : (k6_lattices(all_102_6) = v0 & $i(v0) &
% 86.91/12.30 | | | | | | m1_subset_1(v0, all_102_5))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (1) with all_102_6, all_118_0,
% 86.91/12.30 | | | | | | simplifying with (29), (34), (42), (56) gives:
% 86.91/12.30 | | | | | | (205) ? [v0: $i] : (u1_struct_0(all_102_6) = v0 & $i(v0) &
% 86.91/12.30 | | | | | | m1_subset_1(all_118_0, v0))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (dt_k7_lattices) with all_102_6,
% 86.91/12.30 | | | | | | all_118_0, all_102_1, simplifying with (29), (33),
% 86.91/12.30 | | | | | | (34), (57), (174) gives:
% 86.91/12.30 | | | | | | (206) ? [v0: $i] : (u1_struct_0(all_102_6) = v0 & $i(v0) & ( ~
% 86.91/12.30 | | | | | | m1_subset_1(all_118_0, v0) | m1_subset_1(all_102_1,
% 86.91/12.30 | | | | | | v0)))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | DELTA: instantiating (203) with fresh symbol all_190_0 gives:
% 86.91/12.30 | | | | | | (207) u1_struct_0(all_102_6) = all_190_0 & $i(all_190_0) &
% 86.91/12.30 | | | | | | m1_subset_1(all_102_1, all_190_0)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | ALPHA: (207) implies:
% 86.91/12.30 | | | | | | (208) u1_struct_0(all_102_6) = all_190_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | DELTA: instantiating (202) with fresh symbol all_192_0 gives:
% 86.91/12.30 | | | | | | (209) k5_lattices(all_102_6) = all_192_0 & $i(all_192_0) &
% 86.91/12.30 | | | | | | m1_subset_1(all_192_0, all_102_5)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | ALPHA: (209) implies:
% 86.91/12.30 | | | | | | (210) $i(all_192_0)
% 86.91/12.30 | | | | | | (211) k5_lattices(all_102_6) = all_192_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | DELTA: instantiating (205) with fresh symbol all_194_0 gives:
% 86.91/12.30 | | | | | | (212) u1_struct_0(all_102_6) = all_194_0 & $i(all_194_0) &
% 86.91/12.30 | | | | | | m1_subset_1(all_118_0, all_194_0)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | ALPHA: (212) implies:
% 86.91/12.30 | | | | | | (213) m1_subset_1(all_118_0, all_194_0)
% 86.91/12.30 | | | | | | (214) u1_struct_0(all_102_6) = all_194_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | DELTA: instantiating (204) with fresh symbol all_196_0 gives:
% 86.91/12.30 | | | | | | (215) k6_lattices(all_102_6) = all_196_0 & $i(all_196_0) &
% 86.91/12.30 | | | | | | m1_subset_1(all_196_0, all_102_5)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | ALPHA: (215) implies:
% 86.91/12.30 | | | | | | (216) $i(all_196_0)
% 86.91/12.30 | | | | | | (217) k6_lattices(all_102_6) = all_196_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | DELTA: instantiating (206) with fresh symbol all_198_0 gives:
% 86.91/12.30 | | | | | | (218) u1_struct_0(all_102_6) = all_198_0 & $i(all_198_0) & ( ~
% 86.91/12.30 | | | | | | m1_subset_1(all_118_0, all_198_0) |
% 86.91/12.30 | | | | | | m1_subset_1(all_102_1, all_198_0))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | ALPHA: (218) implies:
% 86.91/12.30 | | | | | | (219) u1_struct_0(all_102_6) = all_198_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (22) with all_118_0, all_192_0,
% 86.91/12.30 | | | | | | all_102_6, simplifying with (56), (211) gives:
% 86.91/12.30 | | | | | | (220) all_192_0 = all_118_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (23) with all_102_5, all_198_0,
% 86.91/12.30 | | | | | | all_102_6, simplifying with (37), (219) gives:
% 86.91/12.30 | | | | | | (221) all_198_0 = all_102_5
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (23) with all_194_0, all_198_0,
% 86.91/12.30 | | | | | | all_102_6, simplifying with (214), (219) gives:
% 86.91/12.30 | | | | | | (222) all_198_0 = all_194_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (23) with all_190_0, all_198_0,
% 86.91/12.30 | | | | | | all_102_6, simplifying with (208), (219) gives:
% 86.91/12.30 | | | | | | (223) all_198_0 = all_190_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (24) with all_102_1, all_196_0,
% 86.91/12.30 | | | | | | all_102_6, simplifying with (38), (217) gives:
% 86.91/12.30 | | | | | | (224) all_196_0 = all_102_1
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | COMBINE_EQS: (221), (222) imply:
% 86.91/12.30 | | | | | | (225) all_194_0 = all_102_5
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | COMBINE_EQS: (222), (223) imply:
% 86.91/12.30 | | | | | | (226) all_194_0 = all_190_0
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | COMBINE_EQS: (225), (226) imply:
% 86.91/12.30 | | | | | | (227) all_190_0 = all_102_5
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | REDUCE: (216), (224) imply:
% 86.91/12.30 | | | | | | (228) $i(all_102_1)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | REDUCE: (213), (225) imply:
% 86.91/12.30 | | | | | | (229) m1_subset_1(all_118_0, all_102_5)
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (101) with all_102_1, all_102_0,
% 86.91/12.30 | | | | | | simplifying with (228) gives:
% 86.91/12.30 | | | | | | (230) ~ (k8_funct_2(all_145_2, all_145_0, all_102_2, all_102_1)
% 86.91/12.30 | | | | | | = all_102_0) | ~ m1_subset_1(all_102_1, all_145_2) | ?
% 86.91/12.30 | | | | | | [v0: $i] : ? [v1: $i] : (k4_xboole_0(all_145_1, all_102_0)
% 86.91/12.30 | | | | | | = v0 & k8_funct_2(all_145_2, all_145_0, all_102_2, v1) =
% 86.91/12.30 | | | | | | v0 & k7_lattices(all_102_6, all_102_1) = v1 & $i(v1) &
% 86.91/12.30 | | | | | | $i(v0))
% 86.91/12.30 | | | | | |
% 86.91/12.30 | | | | | | GROUND_INST: instantiating (96) with all_118_0, all_102_1,
% 86.91/12.30 | | | | | | simplifying with (57), (174), (229) gives:
% 86.91/12.31 | | | | | | (231) ? [v0: $i] : ? [v1: $i] : (k4_xboole_0(all_142_2, v0) =
% 86.91/12.31 | | | | | | v1 & k8_funct_2(all_102_5, all_142_1, all_142_0,
% 86.91/12.31 | | | | | | all_118_0) = v0 & k8_funct_2(all_102_5, all_142_1,
% 86.91/12.31 | | | | | | all_142_0, all_102_1) = v1 & $i(v1) & $i(v0))
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | DELTA: instantiating (231) with fresh symbols all_230_0, all_230_1
% 86.91/12.31 | | | | | | gives:
% 86.91/12.31 | | | | | | (232) k4_xboole_0(all_142_2, all_230_1) = all_230_0 &
% 86.91/12.31 | | | | | | k8_funct_2(all_102_5, all_142_1, all_142_0, all_118_0) =
% 86.91/12.31 | | | | | | all_230_1 & k8_funct_2(all_102_5, all_142_1, all_142_0,
% 86.91/12.31 | | | | | | all_102_1) = all_230_0 & $i(all_230_0) & $i(all_230_1)
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | ALPHA: (232) implies:
% 86.91/12.31 | | | | | | (233) k8_funct_2(all_102_5, all_142_1, all_142_0, all_102_1) =
% 86.91/12.31 | | | | | | all_230_0
% 86.91/12.31 | | | | | | (234) k8_funct_2(all_102_5, all_142_1, all_142_0, all_118_0) =
% 86.91/12.31 | | | | | | all_230_1
% 86.91/12.31 | | | | | | (235) k4_xboole_0(all_142_2, all_230_1) = all_230_0
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | REDUCE: (130), (235) imply:
% 86.91/12.31 | | | | | | (236) k4_xboole_0(all_102_4, all_230_1) = all_230_0
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | REDUCE: (127), (197), (234) imply:
% 86.91/12.31 | | | | | | (237) k8_funct_2(all_102_5, all_102_3, all_102_2, all_118_0) =
% 86.91/12.31 | | | | | | all_230_1
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | REDUCE: (127), (197), (233) imply:
% 86.91/12.31 | | | | | | (238) k8_funct_2(all_102_5, all_102_3, all_102_2, all_102_1) =
% 86.91/12.31 | | | | | | all_230_0
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | BETA: splitting (230) gives:
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | | Case 1:
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | (239) ~ (k8_funct_2(all_145_2, all_145_0, all_102_2,
% 86.91/12.31 | | | | | | | all_102_1) = all_102_0)
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | REDUCE: (170), (194), (239) imply:
% 86.91/12.31 | | | | | | | (240) ~ (k8_funct_2(all_102_5, all_102_3, all_102_2,
% 86.91/12.31 | | | | | | | all_102_1) = all_102_0)
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | PRED_UNIFY: (39), (240) imply:
% 86.91/12.31 | | | | | | | (241) $false
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | CLOSE: (241) is inconsistent.
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | Case 2:
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | (242) k8_funct_2(all_145_2, all_145_0, all_102_2, all_102_1) =
% 86.91/12.31 | | | | | | | all_102_0
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | GROUND_INST: instantiating (26) with all_102_0, all_230_0,
% 86.91/12.31 | | | | | | | all_102_1, all_102_2, all_102_3, all_102_5,
% 86.91/12.31 | | | | | | | simplifying with (39), (238) gives:
% 86.91/12.31 | | | | | | | (243) all_230_0 = all_102_0
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | GROUND_INST: instantiating (26) with k1_xboole_0, all_230_1,
% 86.91/12.31 | | | | | | | all_118_0, all_102_2, all_102_3, all_102_5,
% 86.91/12.31 | | | | | | | simplifying with (198), (237) gives:
% 86.91/12.31 | | | | | | | (244) all_230_1 = k1_xboole_0
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | REDUCE: (236), (243), (244) imply:
% 86.91/12.31 | | | | | | | (245) k4_xboole_0(all_102_4, k1_xboole_0) = all_102_0
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | GROUND_INST: instantiating (19) with all_102_4, all_102_0,
% 86.91/12.31 | | | | | | | simplifying with (175), (245) gives:
% 86.91/12.31 | | | | | | | (246) all_102_0 = all_102_4
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | REDUCE: (28), (246) imply:
% 86.91/12.31 | | | | | | | (247) $false
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | | CLOSE: (247) is inconsistent.
% 86.91/12.31 | | | | | | |
% 86.91/12.31 | | | | | | End of split
% 86.91/12.31 | | | | | |
% 86.91/12.31 | | | | | End of split
% 86.91/12.31 | | | | |
% 86.91/12.31 | | | | End of split
% 86.91/12.31 | | | |
% 86.91/12.31 | | | End of split
% 86.91/12.31 | | |
% 86.91/12.31 | | End of split
% 86.91/12.31 | |
% 86.91/12.31 | End of split
% 86.91/12.31 |
% 86.91/12.31 End of proof
% 86.91/12.31 % SZS output end Proof for theBenchmark
% 86.91/12.31
% 86.91/12.31 11703ms
%------------------------------------------------------------------------------