TSTP Solution File: GRP640+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : GRP640+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 : n028.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 01:12:45 EDT 2023
% Result : Theorem 25.52s 4.09s
% Output : Proof 45.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 23:35:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.60 ________ _____
% 0.18/0.60 ___ __ \_________(_)________________________________
% 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.60
% 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.60 (2023-06-19)
% 0.18/0.60
% 0.18/0.60 (c) Philipp Rümmer, 2009-2023
% 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.60 Amanda Stjerna.
% 0.18/0.60 Free software under BSD-3-Clause.
% 0.18/0.60
% 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.60
% 0.18/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.61 Running up to 7 provers in parallel.
% 0.18/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.50/1.17 Prover 1: Preprocessing ...
% 3.50/1.17 Prover 4: Preprocessing ...
% 3.50/1.20 Prover 2: Preprocessing ...
% 3.50/1.20 Prover 0: Preprocessing ...
% 3.50/1.20 Prover 6: Preprocessing ...
% 3.50/1.20 Prover 5: Preprocessing ...
% 3.50/1.22 Prover 3: Preprocessing ...
% 8.46/1.88 Prover 5: Proving ...
% 8.46/1.88 Prover 1: Warning: ignoring some quantifiers
% 8.95/1.93 Prover 1: Constructing countermodel ...
% 8.95/1.96 Prover 3: Warning: ignoring some quantifiers
% 9.55/1.98 Prover 6: Proving ...
% 9.55/1.99 Prover 2: Proving ...
% 9.55/2.00 Prover 3: Constructing countermodel ...
% 13.52/2.54 Prover 4: Warning: ignoring some quantifiers
% 14.22/2.62 Prover 0: Proving ...
% 14.22/2.63 Prover 4: Constructing countermodel ...
% 22.19/3.71 Prover 3: gave up
% 22.19/3.72 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 23.10/3.80 Prover 7: Preprocessing ...
% 24.15/3.92 Prover 7: Warning: ignoring some quantifiers
% 24.15/3.94 Prover 7: Constructing countermodel ...
% 25.35/4.08 Prover 5: proved (3461ms)
% 25.35/4.08
% 25.52/4.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.52/4.09
% 25.52/4.09 Prover 0: stopped
% 25.52/4.09 Prover 6: stopped
% 25.52/4.09 Prover 2: stopped
% 25.52/4.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 25.52/4.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 25.52/4.09 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 25.52/4.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 25.86/4.19 Prover 10: Preprocessing ...
% 25.86/4.20 Prover 11: Preprocessing ...
% 26.49/4.21 Prover 13: Preprocessing ...
% 26.49/4.22 Prover 8: Preprocessing ...
% 26.49/4.26 Prover 10: Warning: ignoring some quantifiers
% 26.99/4.28 Prover 10: Constructing countermodel ...
% 27.68/4.38 Prover 13: Warning: ignoring some quantifiers
% 27.68/4.38 Prover 8: Warning: ignoring some quantifiers
% 27.68/4.40 Prover 13: Constructing countermodel ...
% 27.68/4.40 Prover 8: Constructing countermodel ...
% 30.10/4.74 Prover 11: Warning: ignoring some quantifiers
% 30.10/4.76 Prover 11: Constructing countermodel ...
% 43.93/6.49 Prover 13: Found proof (size 350)
% 43.93/6.49 Prover 13: proved (2395ms)
% 43.93/6.49 Prover 11: stopped
% 43.93/6.49 Prover 8: stopped
% 43.93/6.49 Prover 7: stopped
% 43.93/6.49 Prover 10: stopped
% 43.93/6.49 Prover 4: stopped
% 43.93/6.50 Prover 1: stopped
% 43.93/6.50
% 43.93/6.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.93/6.50
% 44.28/6.56 % SZS output start Proof for theBenchmark
% 44.28/6.56 Assumptions after simplification:
% 44.28/6.56 ---------------------------------
% 44.28/6.56
% 44.28/6.56 (commutativity_k2_xboole_0)
% 44.33/6.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_xboole_0(v0, v1) = v2) | ~
% 44.33/6.59 $i(v1) | ~ $i(v0) | (k2_xboole_0(v1, v0) = v2 & $i(v2))) & ? [v0: $i] : ?
% 44.33/6.59 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : (k2_xboole_0(v1, v0) = v2 &
% 44.33/6.59 k2_xboole_0(v0, v1) = v2 & $i(v2)))
% 44.33/6.59
% 44.33/6.59 (dt_k5_group_4)
% 44.33/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_group_4(v0, v1) = v2) | ~
% 44.33/6.60 $i(v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 44.33/6.60 v3_group_1(v0) | v1_group_1(v2) | v3_struct_0(v0) | ? [v3: $i] : ? [v4:
% 44.33/6.60 $i] : (k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & $i(v4) & $i(v3) & ~
% 44.33/6.60 m1_subset_1(v1, v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 44.33/6.60 (k5_group_4(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~
% 44.33/6.60 v4_group_1(v0) | ~ v3_group_1(v0) | m1_group_2(v2, v0) | v3_struct_0(v0) |
% 44.33/6.60 ? [v3: $i] : ? [v4: $i] : (k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 &
% 44.33/6.60 $i(v4) & $i(v3) & ~ m1_subset_1(v1, v4))) & ? [v0: $i] : ! [v1: $i] : (
% 44.33/6.60 ~ $i(v1) | ~ $i(v0) | ~ l1_group_1(v1) | ~ v4_group_1(v1) | ~
% 44.33/6.60 v3_group_1(v1) | v3_struct_0(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 44.33/6.60 (k5_group_4(v1, v0) = v4 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v1) = v2 &
% 44.33/6.60 $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v0, v3) | (v1_group_1(v4) &
% 44.33/6.60 m1_group_2(v4, v1)))))
% 44.33/6.60
% 44.33/6.60 (dt_k8_group_4)
% 44.33/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k8_group_4(v0,
% 44.33/6.60 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ m1_group_2(v2,
% 44.33/6.60 v0) | ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 44.33/6.60 v3_group_1(v0) | v1_group_1(v3) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1:
% 44.33/6.60 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k8_group_4(v0, v1, v2) = v3) | ~
% 44.33/6.60 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ m1_group_2(v2, v0) | ~ m1_group_2(v1,
% 44.33/6.60 v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 44.33/6.60 m1_group_2(v3, v0) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 44.33/6.60 $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ m1_group_2(v2, v0) | ~
% 44.33/6.60 m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 44.33/6.60 v3_group_1(v0) | v3_struct_0(v0) | ? [v3: $i] : (k8_group_4(v0, v1, v2) =
% 44.33/6.60 v3 & $i(v3) & v1_group_1(v3) & m1_group_2(v3, v0)))
% 44.33/6.60
% 44.33/6.60 (dt_u1_group_1)
% 44.33/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 44.33/6.60 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l1_group_1(v0) | ? [v3: $i] :
% 44.33/6.61 (u1_group_1(v0) = v3 & $i(v3) & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2,
% 44.33/6.61 v1) & v1_funct_1(v3))) & ! [v0: $i] : ( ~ $i(v0) | ~ l1_group_1(v0) |
% 44.33/6.61 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_group_1(v0) = v1 &
% 44.33/6.61 u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) & $i(v1)
% 44.33/6.61 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2) & v1_funct_1(v1)))
% 44.33/6.61
% 44.33/6.61 (existence_m1_group_2)
% 44.33/6.61 ! [v0: $i] : ( ~ $i(v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) |
% 44.33/6.61 v3_struct_0(v0) | ? [v1: $i] : ($i(v1) & m1_group_2(v1, v0)))
% 44.33/6.61
% 44.33/6.61 (redefinition_r1_group_2)
% 44.51/6.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) |
% 44.51/6.61 ~ $i(v0) | ~ r1_group_2(v0, v1, v2) | ~ v1_group_1(v2) | ~ v1_group_1(v1)
% 44.51/6.61 | ~ m1_group_2(v2, v0) | ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~
% 44.51/6.61 v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0)) & ! [v0: $i] : !
% 44.51/6.61 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ v1_group_1(v1) | ~ m1_group_2(v1, v0)
% 44.51/6.61 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | r1_group_2(v0,
% 44.51/6.61 v1, v1) | v3_struct_0(v0))
% 44.51/6.61
% 44.51/6.61 (t13_latsubgr)
% 44.51/6.61 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 44.51/6.61 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 44.51/6.61 ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 44.51/6.61 [v16: $i] : ( ~ (v16 = v13) & k8_group_4(v0, v5, v7) = v10 & k5_group_4(v0,
% 44.51/6.61 v9) = v14 & k2_funct_2(v1, v4, v12, v15) = v16 & k2_funct_2(v1, v4, v12,
% 44.51/6.61 v11) = v13 & k1_zfmisc_1(v1) = v2 & k2_xboole_0(v6, v8) = v9 &
% 44.51/6.61 u1_struct_0(v14) = v15 & u1_struct_0(v10) = v11 & u1_struct_0(v7) = v8 &
% 44.51/6.61 u1_struct_0(v5) = v6 & u1_struct_0(v3) = v4 & u1_struct_0(v0) = v1 & $i(v16)
% 44.51/6.61 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 44.51/6.61 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 44.51/6.61 $i(v0) & m1_subset_1(v9, v2) & m2_relset_1(v12, v1, v4) & v1_funct_2(v12,
% 44.51/6.61 v1, v4) & v1_funct_1(v12) & m1_group_2(v7, v0) & m1_group_2(v5, v0) &
% 44.51/6.61 l1_group_1(v3) & l1_group_1(v0) & v4_group_1(v3) & v4_group_1(v0) &
% 44.51/6.61 v3_group_1(v3) & v3_group_1(v0) & ~ v3_struct_0(v3) & ~ v3_struct_0(v0))
% 44.51/6.61
% 44.51/6.61 (t4_latsubgr)
% 44.51/6.62 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 44.51/6.62 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) |
% 44.51/6.62 ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : !
% 44.51/6.62 [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k2_xboole_0(v4, v6) = v7) | ~
% 44.51/6.62 (u1_struct_0(v5) = v6) | ~ (u1_struct_0(v3) = v4) | ~ $i(v5) | ~
% 44.51/6.62 $i(v3) | ~ m1_group_2(v5, v0) | ~ m1_group_2(v3, v0) | ? [v8: $i] :
% 44.51/6.62 (k8_group_4(v0, v3, v5) = v8 & $i(v8) & ! [v9: $i] : ( ~
% 44.51/6.62 (k5_group_4(v0, v7) = v9) | ~ $i(v7) | ~ m1_subset_1(v7, v2) |
% 44.51/6.62 r1_group_2(v0, v8, v9)))))) & ! [v0: $i] : ( ~ $i(v0) | ~
% 44.51/6.62 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) |
% 44.51/6.62 ? [v1: $i] : ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & u1_struct_0(v0) = v1 &
% 44.51/6.62 $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ m1_group_2(v3, v0) | ?
% 44.51/6.62 [v4: $i] : (u1_struct_0(v3) = v4 & $i(v4) & ! [v5: $i] : ( ~ $i(v5) |
% 44.51/6.62 ~ m1_group_2(v5, v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 44.51/6.62 (k8_group_4(v0, v3, v5) = v8 & k2_xboole_0(v4, v6) = v7 &
% 44.51/6.62 u1_struct_0(v5) = v6 & $i(v8) & $i(v7) & $i(v6) & ( ~
% 44.51/6.62 m1_subset_1(v7, v2) | ? [v9: $i] : (k5_group_4(v0, v7) = v9 &
% 44.51/6.62 $i(v9) & r1_group_2(v0, v8, v9)))))))))
% 44.51/6.62
% 44.51/6.62 (function-axioms)
% 44.51/6.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 44.51/6.62 $i] : (v1 = v0 | ~ (k2_funct_2(v5, v4, v3, v2) = v1) | ~ (k2_funct_2(v5,
% 44.51/6.62 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 44.51/6.62 $i] : ! [v4: $i] : (v1 = v0 | ~ (k8_group_4(v4, v3, v2) = v1) | ~
% 44.51/6.62 (k8_group_4(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 44.51/6.62 ! [v3: $i] : (v1 = v0 | ~ (k5_group_4(v3, v2) = v1) | ~ (k5_group_4(v3, v2)
% 44.51/6.62 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 44.51/6.62 | ~ (k9_relat_1(v3, v2) = v1) | ~ (k9_relat_1(v3, v2) = v0)) & ! [v0: $i]
% 44.51/6.62 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_xboole_0(v3, v2)
% 44.51/6.62 = v1) | ~ (k2_xboole_0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 44.51/6.62 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~
% 44.51/6.62 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 44.51/6.62 [v3: $i] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) =
% 44.51/6.62 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 44.51/6.62 (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : ! [v1:
% 44.51/6.62 $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~ (u1_group_1(v2)
% 44.51/6.62 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 44.51/6.62 (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 44.51/6.62
% 44.51/6.62 Further assumptions not needed in the proof:
% 44.51/6.62 --------------------------------------------
% 44.51/6.62 abstractness_v1_group_1, antisymmetry_r2_hidden, cc1_funct_2, cc1_relset_1,
% 44.51/6.62 cc5_funct_2, cc6_funct_2, dt_g1_group_1, dt_k1_xboole_0, dt_k1_zfmisc_1,
% 44.51/6.62 dt_k2_funct_2, dt_k2_xboole_0, dt_k2_zfmisc_1, dt_k9_relat_1, dt_l1_group_1,
% 44.51/6.62 dt_l1_struct_0, dt_m1_group_2, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1,
% 44.51/6.62 dt_u1_struct_0, existence_l1_group_1, existence_l1_struct_0,
% 44.51/6.62 existence_m1_relset_1, existence_m1_subset_1, existence_m2_relset_1,
% 44.51/6.62 fc1_struct_0, fc1_subset_1, fc1_xboole_0, fc2_xboole_0, fc3_xboole_0,
% 44.51/6.62 fc4_subset_1, free_g1_group_1, idempotence_k2_xboole_0, rc1_funct_2,
% 44.51/6.62 rc1_subset_1, rc1_xboole_0, rc2_partfun1, rc2_subset_1, rc2_xboole_0,
% 44.51/6.62 rc3_struct_0, rc5_struct_0, redefinition_k2_funct_2, redefinition_m2_relset_1,
% 44.51/6.62 reflexivity_r1_group_2, reflexivity_r1_tarski, symmetry_r1_group_2, t1_boole,
% 44.51/6.62 t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole,
% 44.51/6.62 t8_boole
% 44.51/6.62
% 44.51/6.62 Those formulas are unsatisfiable:
% 44.51/6.62 ---------------------------------
% 44.51/6.62
% 44.51/6.62 Begin of proof
% 44.51/6.62 |
% 44.51/6.62 | ALPHA: (dt_u1_group_1) implies:
% 44.51/6.62 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ l1_group_1(v0) | ? [v1: $i] : ? [v2:
% 44.51/6.62 | $i] : ? [v3: $i] : (u1_group_1(v0) = v1 & u1_struct_0(v0) = v2 &
% 44.51/6.62 | k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) & $i(v1) &
% 44.51/6.62 | m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2) & v1_funct_1(v1)))
% 44.51/6.62 |
% 44.51/6.62 | ALPHA: (commutativity_k2_xboole_0) implies:
% 44.51/6.63 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_xboole_0(v0, v1) =
% 44.51/6.63 | v2) | ~ $i(v1) | ~ $i(v0) | (k2_xboole_0(v1, v0) = v2 & $i(v2)))
% 44.51/6.63 |
% 44.51/6.63 | ALPHA: (redefinition_r1_group_2) implies:
% 44.51/6.63 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~
% 44.51/6.63 | $i(v1) | ~ $i(v0) | ~ r1_group_2(v0, v1, v2) | ~ v1_group_1(v2) |
% 44.51/6.63 | ~ v1_group_1(v1) | ~ m1_group_2(v2, v0) | ~ m1_group_2(v1, v0) | ~
% 44.51/6.63 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 44.51/6.63 | v3_struct_0(v0))
% 44.51/6.63 |
% 44.51/6.63 | ALPHA: (dt_k5_group_4) implies:
% 44.51/6.63 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_group_4(v0, v1) = v2)
% 44.51/6.63 | | ~ $i(v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 44.51/6.63 | v3_group_1(v0) | m1_group_2(v2, v0) | v3_struct_0(v0) | ? [v3: $i] :
% 44.51/6.63 | ? [v4: $i] : (k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & $i(v4) &
% 44.51/6.63 | $i(v3) & ~ m1_subset_1(v1, v4)))
% 44.51/6.63 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k5_group_4(v0, v1) = v2)
% 44.51/6.63 | | ~ $i(v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 44.51/6.63 | v3_group_1(v0) | v1_group_1(v2) | v3_struct_0(v0) | ? [v3: $i] : ?
% 44.51/6.63 | [v4: $i] : (k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & $i(v4) &
% 44.51/6.63 | $i(v3) & ~ m1_subset_1(v1, v4)))
% 44.51/6.63 |
% 44.51/6.63 | ALPHA: (dt_k8_group_4) implies:
% 44.51/6.63 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 44.51/6.63 | $i(v0) | ~ m1_group_2(v2, v0) | ~ m1_group_2(v1, v0) | ~
% 44.51/6.63 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 44.51/6.63 | v3_struct_0(v0) | ? [v3: $i] : (k8_group_4(v0, v1, v2) = v3 & $i(v3)
% 44.51/6.63 | & v1_group_1(v3) & m1_group_2(v3, v0)))
% 44.51/6.63 |
% 44.51/6.63 | ALPHA: (t4_latsubgr) implies:
% 44.51/6.63 | (7) ! [v0: $i] : ( ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~
% 44.51/6.63 | v3_group_1(v0) | v3_struct_0(v0) | ? [v1: $i] : ? [v2: $i] :
% 44.51/6.63 | (k1_zfmisc_1(v1) = v2 & u1_struct_0(v0) = v1 & $i(v2) & $i(v1) & !
% 44.51/6.63 | [v3: $i] : ( ~ $i(v3) | ~ m1_group_2(v3, v0) | ? [v4: $i] :
% 44.51/6.63 | (u1_struct_0(v3) = v4 & $i(v4) & ! [v5: $i] : ( ~ $i(v5) | ~
% 44.51/6.63 | m1_group_2(v5, v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i]
% 44.51/6.63 | : (k8_group_4(v0, v3, v5) = v8 & k2_xboole_0(v4, v6) = v7 &
% 44.51/6.63 | u1_struct_0(v5) = v6 & $i(v8) & $i(v7) & $i(v6) & ( ~
% 44.51/6.63 | m1_subset_1(v7, v2) | ? [v9: $i] : (k5_group_4(v0, v7) =
% 44.51/6.63 | v9 & $i(v9) & r1_group_2(v0, v8, v9)))))))))
% 44.51/6.63 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 44.51/6.63 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) |
% 44.51/6.63 | v3_struct_0(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & $i(v2) & !
% 44.51/6.63 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] :
% 44.51/6.63 | ( ~ (k2_xboole_0(v4, v6) = v7) | ~ (u1_struct_0(v5) = v6) | ~
% 44.51/6.63 | (u1_struct_0(v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~
% 44.51/6.63 | m1_group_2(v5, v0) | ~ m1_group_2(v3, v0) | ? [v8: $i] :
% 44.51/6.63 | (k8_group_4(v0, v3, v5) = v8 & $i(v8) & ! [v9: $i] : ( ~
% 44.51/6.63 | (k5_group_4(v0, v7) = v9) | ~ $i(v7) | ~ m1_subset_1(v7,
% 44.51/6.63 | v2) | r1_group_2(v0, v8, v9))))))
% 44.51/6.63 |
% 44.51/6.63 | ALPHA: (function-axioms) implies:
% 44.51/6.63 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 44.51/6.63 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 44.51/6.63 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 44.51/6.63 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 44.51/6.63 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 44.51/6.63 | (k2_xboole_0(v3, v2) = v1) | ~ (k2_xboole_0(v3, v2) = v0))
% 44.51/6.63 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 44.64/6.63 | (k5_group_4(v3, v2) = v1) | ~ (k5_group_4(v3, v2) = v0))
% 44.64/6.63 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 44.64/6.63 | (v1 = v0 | ~ (k8_group_4(v4, v3, v2) = v1) | ~ (k8_group_4(v4, v3,
% 44.64/6.63 | v2) = v0))
% 44.64/6.64 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 44.64/6.64 | ! [v5: $i] : (v1 = v0 | ~ (k2_funct_2(v5, v4, v3, v2) = v1) | ~
% 44.64/6.64 | (k2_funct_2(v5, v4, v3, v2) = v0))
% 44.64/6.64 |
% 44.64/6.64 | DELTA: instantiating (t13_latsubgr) with fresh symbols all_76_0, all_76_1,
% 44.64/6.64 | all_76_2, all_76_3, all_76_4, all_76_5, all_76_6, all_76_7, all_76_8,
% 44.64/6.64 | all_76_9, all_76_10, all_76_11, all_76_12, all_76_13, all_76_14,
% 44.64/6.64 | all_76_15, all_76_16 gives:
% 44.64/6.64 | (15) ~ (all_76_0 = all_76_3) & k8_group_4(all_76_16, all_76_11, all_76_9)
% 44.64/6.64 | = all_76_6 & k5_group_4(all_76_16, all_76_7) = all_76_2 &
% 44.64/6.64 | k2_funct_2(all_76_15, all_76_12, all_76_4, all_76_1) = all_76_0 &
% 44.64/6.64 | k2_funct_2(all_76_15, all_76_12, all_76_4, all_76_5) = all_76_3 &
% 44.64/6.64 | k1_zfmisc_1(all_76_15) = all_76_14 & k2_xboole_0(all_76_10, all_76_8)
% 44.64/6.64 | = all_76_7 & u1_struct_0(all_76_2) = all_76_1 & u1_struct_0(all_76_6)
% 44.64/6.64 | = all_76_5 & u1_struct_0(all_76_9) = all_76_8 & u1_struct_0(all_76_11)
% 44.64/6.64 | = all_76_10 & u1_struct_0(all_76_13) = all_76_12 &
% 44.64/6.64 | u1_struct_0(all_76_16) = all_76_15 & $i(all_76_0) & $i(all_76_1) &
% 44.64/6.64 | $i(all_76_2) & $i(all_76_3) & $i(all_76_4) & $i(all_76_5) &
% 44.64/6.64 | $i(all_76_6) & $i(all_76_7) & $i(all_76_8) & $i(all_76_9) &
% 44.64/6.64 | $i(all_76_10) & $i(all_76_11) & $i(all_76_12) & $i(all_76_13) &
% 44.64/6.64 | $i(all_76_14) & $i(all_76_15) & $i(all_76_16) & m1_subset_1(all_76_7,
% 44.64/6.64 | all_76_14) & m2_relset_1(all_76_4, all_76_15, all_76_12) &
% 44.64/6.64 | v1_funct_2(all_76_4, all_76_15, all_76_12) & v1_funct_1(all_76_4) &
% 44.64/6.64 | m1_group_2(all_76_9, all_76_16) & m1_group_2(all_76_11, all_76_16) &
% 44.64/6.64 | l1_group_1(all_76_13) & l1_group_1(all_76_16) & v4_group_1(all_76_13)
% 44.64/6.64 | & v4_group_1(all_76_16) & v3_group_1(all_76_13) &
% 44.64/6.64 | v3_group_1(all_76_16) & ~ v3_struct_0(all_76_13) & ~
% 44.64/6.64 | v3_struct_0(all_76_16)
% 44.64/6.64 |
% 44.64/6.64 | ALPHA: (15) implies:
% 44.64/6.64 | (16) ~ (all_76_0 = all_76_3)
% 44.64/6.64 | (17) ~ v3_struct_0(all_76_16)
% 44.64/6.64 | (18) v3_group_1(all_76_16)
% 44.64/6.64 | (19) v4_group_1(all_76_16)
% 44.64/6.64 | (20) l1_group_1(all_76_16)
% 44.64/6.64 | (21) m1_group_2(all_76_11, all_76_16)
% 44.64/6.64 | (22) m1_group_2(all_76_9, all_76_16)
% 44.64/6.64 | (23) m1_subset_1(all_76_7, all_76_14)
% 44.64/6.64 | (24) $i(all_76_16)
% 44.64/6.64 | (25) $i(all_76_11)
% 44.64/6.64 | (26) $i(all_76_10)
% 44.64/6.64 | (27) $i(all_76_9)
% 44.64/6.64 | (28) $i(all_76_8)
% 44.64/6.64 | (29) u1_struct_0(all_76_16) = all_76_15
% 44.64/6.64 | (30) u1_struct_0(all_76_11) = all_76_10
% 44.64/6.64 | (31) u1_struct_0(all_76_9) = all_76_8
% 44.64/6.64 | (32) u1_struct_0(all_76_6) = all_76_5
% 44.64/6.64 | (33) u1_struct_0(all_76_2) = all_76_1
% 44.64/6.64 | (34) k2_xboole_0(all_76_10, all_76_8) = all_76_7
% 44.64/6.64 | (35) k1_zfmisc_1(all_76_15) = all_76_14
% 44.64/6.64 | (36) k2_funct_2(all_76_15, all_76_12, all_76_4, all_76_5) = all_76_3
% 44.64/6.64 | (37) k2_funct_2(all_76_15, all_76_12, all_76_4, all_76_1) = all_76_0
% 44.64/6.64 | (38) k5_group_4(all_76_16, all_76_7) = all_76_2
% 44.64/6.64 | (39) k8_group_4(all_76_16, all_76_11, all_76_9) = all_76_6
% 44.64/6.64 |
% 44.64/6.64 | GROUND_INST: instantiating (7) with all_76_16, simplifying with (17), (18),
% 44.64/6.64 | (19), (20), (24) gives:
% 44.64/6.64 | (40) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) = v1 &
% 44.64/6.64 | u1_struct_0(all_76_16) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~
% 44.64/6.64 | $i(v2) | ~ m1_group_2(v2, all_76_16) | ? [v3: $i] :
% 44.64/6.64 | (u1_struct_0(v2) = v3 & $i(v3) & ! [v4: $i] : ( ~ $i(v4) | ~
% 44.64/6.64 | m1_group_2(v4, all_76_16) | ? [v5: $i] : ? [v6: $i] : ?
% 44.64/6.64 | [v7: $i] : (k8_group_4(all_76_16, v2, v4) = v7 &
% 44.64/6.64 | k2_xboole_0(v3, v5) = v6 & u1_struct_0(v4) = v5 & $i(v7) &
% 44.64/6.64 | $i(v6) & $i(v5) & ( ~ m1_subset_1(v6, v1) | ? [v8: $i] :
% 44.64/6.64 | (k5_group_4(all_76_16, v6) = v8 & $i(v8) &
% 44.64/6.64 | r1_group_2(all_76_16, v7, v8))))))))
% 44.64/6.64 |
% 44.64/6.64 | GROUND_INST: instantiating (existence_m1_group_2) with all_76_16, simplifying
% 44.64/6.64 | with (17), (18), (20), (24) gives:
% 44.64/6.64 | (41) ? [v0: $i] : ($i(v0) & m1_group_2(v0, all_76_16))
% 44.64/6.64 |
% 44.64/6.64 | GROUND_INST: instantiating (1) with all_76_16, simplifying with (20), (24)
% 44.64/6.64 | gives:
% 44.64/6.64 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_group_1(all_76_16) = v0
% 44.64/6.64 | & u1_struct_0(all_76_16) = v1 & k2_zfmisc_1(v1, v1) = v2 & $i(v2) &
% 44.64/6.64 | $i(v1) & $i(v0) & m2_relset_1(v0, v2, v1) & v1_funct_2(v0, v2, v1) &
% 44.64/6.64 | v1_funct_1(v0))
% 44.64/6.64 |
% 44.64/6.65 | GROUND_INST: instantiating (6) with all_76_16, all_76_11, all_76_11,
% 44.64/6.65 | simplifying with (17), (18), (19), (20), (21), (24), (25) gives:
% 44.64/6.65 | (43) ? [v0: $i] : (k8_group_4(all_76_16, all_76_11, all_76_11) = v0 &
% 44.64/6.65 | $i(v0) & v1_group_1(v0) & m1_group_2(v0, all_76_16))
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (6) with all_76_16, all_76_9, all_76_9, simplifying
% 44.64/6.65 | with (17), (18), (19), (20), (22), (24), (27) gives:
% 44.64/6.65 | (44) ? [v0: $i] : (k8_group_4(all_76_16, all_76_9, all_76_9) = v0 & $i(v0)
% 44.64/6.65 | & v1_group_1(v0) & m1_group_2(v0, all_76_16))
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (6) with all_76_16, all_76_11, all_76_9,
% 44.64/6.65 | simplifying with (17), (18), (19), (20), (21), (22), (24), (25),
% 44.64/6.65 | (27) gives:
% 44.64/6.65 | (45) ? [v0: $i] : (k8_group_4(all_76_16, all_76_11, all_76_9) = v0 &
% 44.64/6.65 | $i(v0) & v1_group_1(v0) & m1_group_2(v0, all_76_16))
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (6) with all_76_16, all_76_9, all_76_11,
% 44.64/6.65 | simplifying with (17), (18), (19), (20), (21), (22), (24), (25),
% 44.64/6.65 | (27) gives:
% 44.64/6.65 | (46) ? [v0: $i] : (k8_group_4(all_76_16, all_76_9, all_76_11) = v0 &
% 44.64/6.65 | $i(v0) & v1_group_1(v0) & m1_group_2(v0, all_76_16))
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (8) with all_76_16, all_76_15, simplifying with
% 44.64/6.65 | (17), (18), (19), (20), (24), (29) gives:
% 44.64/6.65 | (47) ? [v0: $i] : (k1_zfmisc_1(all_76_15) = v0 & $i(v0) & ! [v1: $i] : !
% 44.64/6.65 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 44.64/6.65 | (k2_xboole_0(v2, v4) = v5) | ~ (u1_struct_0(v3) = v4) | ~
% 44.64/6.65 | (u1_struct_0(v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ m1_group_2(v3,
% 44.64/6.65 | all_76_16) | ~ m1_group_2(v1, all_76_16) | ? [v6: $i] :
% 44.64/6.65 | (k8_group_4(all_76_16, v1, v3) = v6 & $i(v6) & ! [v7: $i] : ( ~
% 44.64/6.65 | (k5_group_4(all_76_16, v5) = v7) | ~ $i(v5) | ~
% 44.64/6.65 | m1_subset_1(v5, v0) | r1_group_2(all_76_16, v6, v7)))))
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (2) with all_76_10, all_76_8, all_76_7, simplifying
% 44.64/6.65 | with (26), (28), (34) gives:
% 44.64/6.65 | (48) k2_xboole_0(all_76_8, all_76_10) = all_76_7 & $i(all_76_7)
% 44.64/6.65 |
% 44.64/6.65 | ALPHA: (48) implies:
% 44.64/6.65 | (49) $i(all_76_7)
% 44.64/6.65 | (50) k2_xboole_0(all_76_8, all_76_10) = all_76_7
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (5) with all_76_16, all_76_7, all_76_2, simplifying
% 44.64/6.65 | with (17), (18), (19), (20), (24), (38), (49) gives:
% 44.64/6.65 | (51) v1_group_1(all_76_2) | ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) =
% 44.64/6.65 | v1 & u1_struct_0(all_76_16) = v0 & $i(v1) & $i(v0) & ~
% 44.64/6.65 | m1_subset_1(all_76_7, v1))
% 44.64/6.65 |
% 44.64/6.65 | GROUND_INST: instantiating (4) with all_76_16, all_76_7, all_76_2, simplifying
% 44.64/6.65 | with (17), (18), (19), (20), (24), (38), (49) gives:
% 44.64/6.65 | (52) m1_group_2(all_76_2, all_76_16) | ? [v0: $i] : ? [v1: $i] :
% 44.64/6.65 | (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_76_16) = v0 & $i(v1) & $i(v0)
% 44.64/6.65 | & ~ m1_subset_1(all_76_7, v1))
% 44.64/6.65 |
% 44.64/6.65 | DELTA: instantiating (41) with fresh symbol all_86_0 gives:
% 44.64/6.65 | (53) $i(all_86_0) & m1_group_2(all_86_0, all_76_16)
% 44.64/6.65 |
% 44.64/6.65 | ALPHA: (53) implies:
% 44.64/6.65 | (54) m1_group_2(all_86_0, all_76_16)
% 44.64/6.65 | (55) $i(all_86_0)
% 44.64/6.65 |
% 44.64/6.65 | DELTA: instantiating (44) with fresh symbol all_92_0 gives:
% 44.64/6.65 | (56) k8_group_4(all_76_16, all_76_9, all_76_9) = all_92_0 & $i(all_92_0) &
% 44.64/6.65 | v1_group_1(all_92_0) & m1_group_2(all_92_0, all_76_16)
% 44.64/6.65 |
% 44.64/6.65 | ALPHA: (56) implies:
% 44.64/6.65 | (57) m1_group_2(all_92_0, all_76_16)
% 44.64/6.66 | (58) k8_group_4(all_76_16, all_76_9, all_76_9) = all_92_0
% 44.64/6.66 |
% 44.64/6.66 | DELTA: instantiating (43) with fresh symbol all_94_0 gives:
% 44.64/6.66 | (59) k8_group_4(all_76_16, all_76_11, all_76_11) = all_94_0 & $i(all_94_0)
% 44.64/6.66 | & v1_group_1(all_94_0) & m1_group_2(all_94_0, all_76_16)
% 44.64/6.66 |
% 44.64/6.66 | ALPHA: (59) implies:
% 44.64/6.66 | (60) m1_group_2(all_94_0, all_76_16)
% 44.64/6.66 | (61) k8_group_4(all_76_16, all_76_11, all_76_11) = all_94_0
% 44.64/6.66 |
% 44.64/6.66 | DELTA: instantiating (46) with fresh symbol all_96_0 gives:
% 44.64/6.66 | (62) k8_group_4(all_76_16, all_76_9, all_76_11) = all_96_0 & $i(all_96_0) &
% 44.64/6.66 | v1_group_1(all_96_0) & m1_group_2(all_96_0, all_76_16)
% 44.64/6.66 |
% 44.64/6.66 | ALPHA: (62) implies:
% 44.64/6.66 | (63) m1_group_2(all_96_0, all_76_16)
% 44.64/6.66 | (64) v1_group_1(all_96_0)
% 44.64/6.66 | (65) k8_group_4(all_76_16, all_76_9, all_76_11) = all_96_0
% 44.64/6.66 |
% 44.64/6.66 | DELTA: instantiating (45) with fresh symbol all_98_0 gives:
% 44.64/6.66 | (66) k8_group_4(all_76_16, all_76_11, all_76_9) = all_98_0 & $i(all_98_0) &
% 44.64/6.66 | v1_group_1(all_98_0) & m1_group_2(all_98_0, all_76_16)
% 44.64/6.66 |
% 44.64/6.66 | ALPHA: (66) implies:
% 44.64/6.66 | (67) m1_group_2(all_98_0, all_76_16)
% 44.64/6.66 | (68) v1_group_1(all_98_0)
% 44.64/6.66 | (69) $i(all_98_0)
% 44.64/6.66 | (70) k8_group_4(all_76_16, all_76_11, all_76_9) = all_98_0
% 44.64/6.66 |
% 44.64/6.66 | DELTA: instantiating (42) with fresh symbols all_106_0, all_106_1, all_106_2
% 44.64/6.66 | gives:
% 44.64/6.66 | (71) u1_group_1(all_76_16) = all_106_2 & u1_struct_0(all_76_16) = all_106_1
% 44.64/6.66 | & k2_zfmisc_1(all_106_1, all_106_1) = all_106_0 & $i(all_106_0) &
% 44.64/6.66 | $i(all_106_1) & $i(all_106_2) & m2_relset_1(all_106_2, all_106_0,
% 44.64/6.66 | all_106_1) & v1_funct_2(all_106_2, all_106_0, all_106_1) &
% 44.64/6.66 | v1_funct_1(all_106_2)
% 44.64/6.66 |
% 44.64/6.66 | ALPHA: (71) implies:
% 44.64/6.66 | (72) u1_struct_0(all_76_16) = all_106_1
% 44.64/6.66 |
% 44.64/6.66 | DELTA: instantiating (47) with fresh symbol all_113_0 gives:
% 44.64/6.66 | (73) k1_zfmisc_1(all_76_15) = all_113_0 & $i(all_113_0) & ! [v0: $i] : !
% 44.64/6.66 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 44.64/6.66 | (k2_xboole_0(v1, v3) = v4) | ~ (u1_struct_0(v2) = v3) | ~
% 44.64/6.66 | (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ m1_group_2(v2,
% 44.64/6.66 | all_76_16) | ~ m1_group_2(v0, all_76_16) | ? [v5: $i] :
% 44.64/6.66 | (k8_group_4(all_76_16, v0, v2) = v5 & $i(v5) & ! [v6: $i] : ( ~
% 44.64/6.66 | (k5_group_4(all_76_16, v4) = v6) | ~ $i(v4) | ~
% 44.64/6.66 | m1_subset_1(v4, all_113_0) | r1_group_2(all_76_16, v5, v6))))
% 44.64/6.66 |
% 44.64/6.66 | ALPHA: (73) implies:
% 44.64/6.66 | (74) k1_zfmisc_1(all_76_15) = all_113_0
% 44.64/6.66 | (75) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 44.64/6.66 | ( ~ (k2_xboole_0(v1, v3) = v4) | ~ (u1_struct_0(v2) = v3) | ~
% 44.64/6.66 | (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ m1_group_2(v2,
% 44.64/6.66 | all_76_16) | ~ m1_group_2(v0, all_76_16) | ? [v5: $i] :
% 44.64/6.66 | (k8_group_4(all_76_16, v0, v2) = v5 & $i(v5) & ! [v6: $i] : ( ~
% 44.64/6.66 | (k5_group_4(all_76_16, v4) = v6) | ~ $i(v4) | ~
% 44.64/6.66 | m1_subset_1(v4, all_113_0) | r1_group_2(all_76_16, v5, v6))))
% 44.64/6.66 |
% 44.64/6.66 | GROUND_INST: instantiating (75) with all_76_11, all_76_10, all_76_9, all_76_8,
% 44.64/6.66 | all_76_7, simplifying with (21), (22), (25), (27), (30), (31),
% 44.64/6.66 | (34) gives:
% 44.64/6.66 | (76) ? [v0: $i] : (k8_group_4(all_76_16, all_76_11, all_76_9) = v0 &
% 44.64/6.66 | $i(v0) & ! [v1: $i] : ( ~ (k5_group_4(all_76_16, all_76_7) = v1) |
% 44.64/6.66 | ~ $i(all_76_7) | ~ m1_subset_1(all_76_7, all_113_0) |
% 44.64/6.66 | r1_group_2(all_76_16, v0, v1)))
% 44.64/6.66 |
% 44.64/6.66 | DELTA: instantiating (40) with fresh symbols all_119_0, all_119_1 gives:
% 44.64/6.66 | (77) k1_zfmisc_1(all_119_1) = all_119_0 & u1_struct_0(all_76_16) =
% 44.64/6.66 | all_119_1 & $i(all_119_0) & $i(all_119_1) & ! [v0: $i] : ( ~ $i(v0) |
% 44.64/6.66 | ~ m1_group_2(v0, all_76_16) | ? [v1: $i] : (u1_struct_0(v0) = v1 &
% 44.64/6.66 | $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ m1_group_2(v2, all_76_16) |
% 44.64/6.66 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (k8_group_4(all_76_16,
% 44.64/6.66 | v0, v2) = v5 & k2_xboole_0(v1, v3) = v4 & u1_struct_0(v2) =
% 44.64/6.66 | v3 & $i(v5) & $i(v4) & $i(v3) & ( ~ m1_subset_1(v4, all_119_0)
% 44.64/6.66 | | ? [v6: $i] : (k5_group_4(all_76_16, v4) = v6 & $i(v6) &
% 44.64/6.66 | r1_group_2(all_76_16, v5, v6)))))))
% 44.64/6.66 |
% 44.64/6.66 | ALPHA: (77) implies:
% 44.64/6.66 | (78) u1_struct_0(all_76_16) = all_119_1
% 44.64/6.66 | (79) k1_zfmisc_1(all_119_1) = all_119_0
% 44.64/6.66 | (80) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1: $i]
% 44.64/6.66 | : (u1_struct_0(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~
% 44.64/6.66 | m1_group_2(v2, all_76_16) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 44.64/6.66 | $i] : (k8_group_4(all_76_16, v0, v2) = v5 & k2_xboole_0(v1,
% 44.64/6.66 | v3) = v4 & u1_struct_0(v2) = v3 & $i(v5) & $i(v4) & $i(v3) &
% 44.64/6.66 | ( ~ m1_subset_1(v4, all_119_0) | ? [v6: $i] :
% 44.64/6.66 | (k5_group_4(all_76_16, v4) = v6 & $i(v6) &
% 44.64/6.66 | r1_group_2(all_76_16, v5, v6)))))))
% 44.64/6.66 |
% 44.64/6.66 | GROUND_INST: instantiating (80) with all_76_11, simplifying with (21), (25)
% 44.64/6.66 | gives:
% 44.64/6.67 | (81) ? [v0: $i] : (u1_struct_0(all_76_11) = v0 & $i(v0) & ! [v1: $i] : (
% 44.64/6.67 | ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2: $i] : ? [v3:
% 44.64/6.67 | $i] : ? [v4: $i] : (k8_group_4(all_76_16, all_76_11, v1) = v4 &
% 44.64/6.67 | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 & $i(v4) &
% 44.64/6.67 | $i(v3) & $i(v2) & ( ~ m1_subset_1(v3, all_119_0) | ? [v5: $i] :
% 44.64/6.67 | (k5_group_4(all_76_16, v3) = v5 & $i(v5) &
% 44.64/6.67 | r1_group_2(all_76_16, v4, v5))))))
% 44.64/6.67 |
% 44.64/6.67 | GROUND_INST: instantiating (80) with all_76_9, simplifying with (22), (27)
% 44.64/6.67 | gives:
% 44.64/6.67 | (82) ? [v0: $i] : (u1_struct_0(all_76_9) = v0 & $i(v0) & ! [v1: $i] : ( ~
% 44.64/6.67 | $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2: $i] : ? [v3: $i]
% 44.64/6.67 | : ? [v4: $i] : (k8_group_4(all_76_16, all_76_9, v1) = v4 &
% 44.64/6.67 | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 & $i(v4) &
% 44.64/6.67 | $i(v3) & $i(v2) & ( ~ m1_subset_1(v3, all_119_0) | ? [v5: $i] :
% 44.64/6.67 | (k5_group_4(all_76_16, v3) = v5 & $i(v5) &
% 44.64/6.67 | r1_group_2(all_76_16, v4, v5))))))
% 44.64/6.67 |
% 44.64/6.67 | DELTA: instantiating (76) with fresh symbol all_122_0 gives:
% 44.64/6.67 | (83) k8_group_4(all_76_16, all_76_11, all_76_9) = all_122_0 & $i(all_122_0)
% 44.64/6.67 | & ! [v0: $i] : ( ~ (k5_group_4(all_76_16, all_76_7) = v0) | ~
% 44.64/6.67 | $i(all_76_7) | ~ m1_subset_1(all_76_7, all_113_0) |
% 44.64/6.67 | r1_group_2(all_76_16, all_122_0, v0))
% 44.64/6.67 |
% 44.64/6.67 | ALPHA: (83) implies:
% 44.64/6.67 | (84) k8_group_4(all_76_16, all_76_11, all_76_9) = all_122_0
% 44.64/6.67 |
% 44.64/6.67 | DELTA: instantiating (82) with fresh symbol all_125_0 gives:
% 44.64/6.67 | (85) u1_struct_0(all_76_9) = all_125_0 & $i(all_125_0) & ! [v0: $i] : ( ~
% 44.64/6.67 | $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1: $i] : ? [v2: $i] :
% 44.64/6.67 | ? [v3: $i] : (k8_group_4(all_76_16, all_76_9, v0) = v3 &
% 44.64/6.67 | k2_xboole_0(all_125_0, v1) = v2 & u1_struct_0(v0) = v1 & $i(v3) &
% 44.64/6.67 | $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.67 | (k5_group_4(all_76_16, v2) = v4 & $i(v4) & r1_group_2(all_76_16,
% 44.64/6.67 | v3, v4)))))
% 44.64/6.67 |
% 44.64/6.67 | ALPHA: (85) implies:
% 44.64/6.67 | (86) u1_struct_0(all_76_9) = all_125_0
% 44.64/6.67 | (87) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1: $i]
% 44.64/6.67 | : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16, all_76_9, v0) =
% 44.64/6.67 | v3 & k2_xboole_0(all_125_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.67 | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0) | ?
% 44.64/6.67 | [v4: $i] : (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.67 | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.67 |
% 44.64/6.67 | GROUND_INST: instantiating (87) with all_76_11, simplifying with (21), (25)
% 44.64/6.67 | gives:
% 44.64/6.67 | (88) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k8_group_4(all_76_16,
% 44.64/6.67 | all_76_9, all_76_11) = v2 & k2_xboole_0(all_125_0, v0) = v1 &
% 44.64/6.67 | u1_struct_0(all_76_11) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~
% 44.64/6.67 | m1_subset_1(v1, all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16,
% 44.64/6.67 | v1) = v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.67 |
% 44.64/6.67 | GROUND_INST: instantiating (87) with all_76_9, simplifying with (22), (27)
% 44.64/6.67 | gives:
% 44.64/6.67 | (89) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k8_group_4(all_76_16,
% 44.64/6.67 | all_76_9, all_76_9) = v2 & k2_xboole_0(all_125_0, v0) = v1 &
% 44.64/6.67 | u1_struct_0(all_76_9) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~
% 44.64/6.67 | m1_subset_1(v1, all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16,
% 44.64/6.67 | v1) = v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.67 |
% 44.64/6.67 | DELTA: instantiating (81) with fresh symbol all_128_0 gives:
% 44.64/6.67 | (90) u1_struct_0(all_76_11) = all_128_0 & $i(all_128_0) & ! [v0: $i] : ( ~
% 44.64/6.67 | $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1: $i] : ? [v2: $i] :
% 44.64/6.67 | ? [v3: $i] : (k8_group_4(all_76_16, all_76_11, v0) = v3 &
% 44.64/6.67 | k2_xboole_0(all_128_0, v1) = v2 & u1_struct_0(v0) = v1 & $i(v3) &
% 44.64/6.67 | $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.67 | (k5_group_4(all_76_16, v2) = v4 & $i(v4) & r1_group_2(all_76_16,
% 44.64/6.67 | v3, v4)))))
% 44.64/6.67 |
% 44.64/6.67 | ALPHA: (90) implies:
% 44.64/6.67 | (91) u1_struct_0(all_76_11) = all_128_0
% 44.64/6.67 | (92) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1: $i]
% 44.64/6.67 | : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16, all_76_11, v0)
% 44.64/6.67 | = v3 & k2_xboole_0(all_128_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.67 | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0) | ?
% 44.64/6.67 | [v4: $i] : (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.67 | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.67 |
% 44.64/6.67 | GROUND_INST: instantiating (92) with all_76_11, simplifying with (21), (25)
% 44.64/6.67 | gives:
% 44.64/6.67 | (93) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k8_group_4(all_76_16,
% 44.64/6.67 | all_76_11, all_76_11) = v2 & k2_xboole_0(all_128_0, v0) = v1 &
% 44.64/6.67 | u1_struct_0(all_76_11) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~
% 44.64/6.67 | m1_subset_1(v1, all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16,
% 44.64/6.67 | v1) = v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.67 |
% 44.64/6.67 | GROUND_INST: instantiating (92) with all_76_9, simplifying with (22), (27)
% 44.64/6.67 | gives:
% 44.64/6.67 | (94) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k8_group_4(all_76_16,
% 44.64/6.67 | all_76_11, all_76_9) = v2 & k2_xboole_0(all_128_0, v0) = v1 &
% 44.64/6.67 | u1_struct_0(all_76_9) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~
% 44.64/6.67 | m1_subset_1(v1, all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16,
% 44.64/6.67 | v1) = v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.67 |
% 44.64/6.67 | DELTA: instantiating (89) with fresh symbols all_131_0, all_131_1, all_131_2
% 44.64/6.67 | gives:
% 44.64/6.67 | (95) k8_group_4(all_76_16, all_76_9, all_76_9) = all_131_0 &
% 44.64/6.67 | k2_xboole_0(all_125_0, all_131_2) = all_131_1 & u1_struct_0(all_76_9)
% 44.64/6.67 | = all_131_2 & $i(all_131_0) & $i(all_131_1) & $i(all_131_2) & ( ~
% 44.64/6.67 | m1_subset_1(all_131_1, all_119_0) | ? [v0: $i] :
% 44.64/6.67 | (k5_group_4(all_76_16, all_131_1) = v0 & $i(v0) &
% 44.64/6.67 | r1_group_2(all_76_16, all_131_0, v0)))
% 44.64/6.67 |
% 44.64/6.67 | ALPHA: (95) implies:
% 44.64/6.67 | (96) $i(all_131_0)
% 44.64/6.67 | (97) u1_struct_0(all_76_9) = all_131_2
% 44.64/6.67 | (98) k8_group_4(all_76_16, all_76_9, all_76_9) = all_131_0
% 44.64/6.67 |
% 44.64/6.67 | DELTA: instantiating (88) with fresh symbols all_133_0, all_133_1, all_133_2
% 44.64/6.68 | gives:
% 44.64/6.68 | (99) k8_group_4(all_76_16, all_76_9, all_76_11) = all_133_0 &
% 44.64/6.68 | k2_xboole_0(all_125_0, all_133_2) = all_133_1 & u1_struct_0(all_76_11)
% 44.64/6.68 | = all_133_2 & $i(all_133_0) & $i(all_133_1) & $i(all_133_2) & ( ~
% 44.64/6.68 | m1_subset_1(all_133_1, all_119_0) | ? [v0: $i] :
% 44.64/6.68 | (k5_group_4(all_76_16, all_133_1) = v0 & $i(v0) &
% 44.64/6.68 | r1_group_2(all_76_16, all_133_0, v0)))
% 44.64/6.68 |
% 44.64/6.68 | ALPHA: (99) implies:
% 44.64/6.68 | (100) $i(all_133_0)
% 44.64/6.68 | (101) u1_struct_0(all_76_11) = all_133_2
% 44.64/6.68 | (102) k2_xboole_0(all_125_0, all_133_2) = all_133_1
% 44.64/6.68 | (103) k8_group_4(all_76_16, all_76_9, all_76_11) = all_133_0
% 44.64/6.68 | (104) ~ m1_subset_1(all_133_1, all_119_0) | ? [v0: $i] :
% 44.64/6.68 | (k5_group_4(all_76_16, all_133_1) = v0 & $i(v0) &
% 44.64/6.68 | r1_group_2(all_76_16, all_133_0, v0))
% 44.64/6.68 |
% 44.64/6.68 | DELTA: instantiating (94) with fresh symbols all_135_0, all_135_1, all_135_2
% 44.64/6.68 | gives:
% 44.64/6.68 | (105) k8_group_4(all_76_16, all_76_11, all_76_9) = all_135_0 &
% 44.64/6.68 | k2_xboole_0(all_128_0, all_135_2) = all_135_1 & u1_struct_0(all_76_9)
% 44.64/6.68 | = all_135_2 & $i(all_135_0) & $i(all_135_1) & $i(all_135_2) & ( ~
% 44.64/6.68 | m1_subset_1(all_135_1, all_119_0) | ? [v0: $i] :
% 44.64/6.68 | (k5_group_4(all_76_16, all_135_1) = v0 & $i(v0) &
% 44.64/6.68 | r1_group_2(all_76_16, all_135_0, v0)))
% 44.64/6.68 |
% 44.64/6.68 | ALPHA: (105) implies:
% 44.64/6.68 | (106) u1_struct_0(all_76_9) = all_135_2
% 44.64/6.68 | (107) k2_xboole_0(all_128_0, all_135_2) = all_135_1
% 44.64/6.68 | (108) k8_group_4(all_76_16, all_76_11, all_76_9) = all_135_0
% 44.64/6.68 | (109) ~ m1_subset_1(all_135_1, all_119_0) | ? [v0: $i] :
% 44.64/6.68 | (k5_group_4(all_76_16, all_135_1) = v0 & $i(v0) &
% 44.64/6.68 | r1_group_2(all_76_16, all_135_0, v0))
% 44.64/6.68 |
% 44.64/6.68 | DELTA: instantiating (93) with fresh symbols all_137_0, all_137_1, all_137_2
% 44.64/6.68 | gives:
% 44.64/6.68 | (110) k8_group_4(all_76_16, all_76_11, all_76_11) = all_137_0 &
% 44.64/6.68 | k2_xboole_0(all_128_0, all_137_2) = all_137_1 &
% 44.64/6.68 | u1_struct_0(all_76_11) = all_137_2 & $i(all_137_0) & $i(all_137_1) &
% 44.64/6.68 | $i(all_137_2) & ( ~ m1_subset_1(all_137_1, all_119_0) | ? [v0: $i] :
% 44.64/6.68 | (k5_group_4(all_76_16, all_137_1) = v0 & $i(v0) &
% 44.64/6.68 | r1_group_2(all_76_16, all_137_0, v0)))
% 44.64/6.68 |
% 44.64/6.68 | ALPHA: (110) implies:
% 44.64/6.68 | (111) $i(all_137_0)
% 44.64/6.68 | (112) u1_struct_0(all_76_11) = all_137_2
% 44.64/6.68 | (113) k8_group_4(all_76_16, all_76_11, all_76_11) = all_137_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_76_15, all_119_1, all_76_16,
% 44.64/6.68 | simplifying with (29), (78) gives:
% 44.64/6.68 | (114) all_119_1 = all_76_15
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_106_1, all_119_1, all_76_16,
% 44.64/6.68 | simplifying with (72), (78) gives:
% 44.64/6.68 | (115) all_119_1 = all_106_1
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_76_10, all_133_2, all_76_11,
% 44.64/6.68 | simplifying with (30), (101) gives:
% 44.64/6.68 | (116) all_133_2 = all_76_10
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_133_2, all_137_2, all_76_11,
% 44.64/6.68 | simplifying with (101), (112) gives:
% 44.64/6.68 | (117) all_137_2 = all_133_2
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_128_0, all_137_2, all_76_11,
% 44.64/6.68 | simplifying with (91), (112) gives:
% 44.64/6.68 | (118) all_137_2 = all_128_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_76_8, all_135_2, all_76_9, simplifying
% 44.64/6.68 | with (31), (106) gives:
% 44.64/6.68 | (119) all_135_2 = all_76_8
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_131_2, all_135_2, all_76_9,
% 44.64/6.68 | simplifying with (97), (106) gives:
% 44.64/6.68 | (120) all_135_2 = all_131_2
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (9) with all_125_0, all_135_2, all_76_9,
% 44.64/6.68 | simplifying with (86), (106) gives:
% 44.64/6.68 | (121) all_135_2 = all_125_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (10) with all_76_14, all_113_0, all_76_15,
% 44.64/6.68 | simplifying with (35), (74) gives:
% 44.64/6.68 | (122) all_113_0 = all_76_14
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (13) with all_94_0, all_137_0, all_76_11,
% 44.64/6.68 | all_76_11, all_76_16, simplifying with (61), (113) gives:
% 44.64/6.68 | (123) all_137_0 = all_94_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (13) with all_98_0, all_122_0, all_76_9, all_76_11,
% 44.64/6.68 | all_76_16, simplifying with (70), (84) gives:
% 44.64/6.68 | (124) all_122_0 = all_98_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (13) with all_76_6, all_135_0, all_76_9, all_76_11,
% 44.64/6.68 | all_76_16, simplifying with (39), (108) gives:
% 44.64/6.68 | (125) all_135_0 = all_76_6
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (13) with all_122_0, all_135_0, all_76_9,
% 44.64/6.68 | all_76_11, all_76_16, simplifying with (84), (108) gives:
% 44.64/6.68 | (126) all_135_0 = all_122_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (13) with all_96_0, all_133_0, all_76_11, all_76_9,
% 44.64/6.68 | all_76_16, simplifying with (65), (103) gives:
% 44.64/6.68 | (127) all_133_0 = all_96_0
% 44.64/6.68 |
% 44.64/6.68 | GROUND_INST: instantiating (13) with all_92_0, all_131_0, all_76_9, all_76_9,
% 44.64/6.68 | all_76_16, simplifying with (58), (98) gives:
% 44.64/6.68 | (128) all_131_0 = all_92_0
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (117), (118) imply:
% 44.64/6.68 | (129) all_133_2 = all_128_0
% 44.64/6.68 |
% 44.64/6.68 | SIMP: (129) implies:
% 44.64/6.68 | (130) all_133_2 = all_128_0
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (125), (126) imply:
% 44.64/6.68 | (131) all_122_0 = all_76_6
% 44.64/6.68 |
% 44.64/6.68 | SIMP: (131) implies:
% 44.64/6.68 | (132) all_122_0 = all_76_6
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (119), (120) imply:
% 44.64/6.68 | (133) all_131_2 = all_76_8
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (120), (121) imply:
% 44.64/6.68 | (134) all_131_2 = all_125_0
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (116), (130) imply:
% 44.64/6.68 | (135) all_128_0 = all_76_10
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (133), (134) imply:
% 44.64/6.68 | (136) all_125_0 = all_76_8
% 44.64/6.68 |
% 44.64/6.68 | SIMP: (136) implies:
% 44.64/6.68 | (137) all_125_0 = all_76_8
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (124), (132) imply:
% 44.64/6.68 | (138) all_98_0 = all_76_6
% 44.64/6.68 |
% 44.64/6.68 | SIMP: (138) implies:
% 44.64/6.68 | (139) all_98_0 = all_76_6
% 44.64/6.68 |
% 44.64/6.68 | COMBINE_EQS: (114), (115) imply:
% 44.64/6.68 | (140) all_106_1 = all_76_15
% 44.64/6.68 |
% 44.64/6.68 | SIMP: (140) implies:
% 44.64/6.68 | (141) all_106_1 = all_76_15
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (79), (114) imply:
% 44.64/6.68 | (142) k1_zfmisc_1(all_76_15) = all_119_0
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (107), (119), (135) imply:
% 44.64/6.68 | (143) k2_xboole_0(all_76_10, all_76_8) = all_135_1
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (102), (116), (137) imply:
% 44.64/6.68 | (144) k2_xboole_0(all_76_8, all_76_10) = all_133_1
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (111), (123) imply:
% 44.64/6.68 | (145) $i(all_94_0)
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (100), (127) imply:
% 44.64/6.68 | (146) $i(all_96_0)
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (96), (128) imply:
% 44.64/6.68 | (147) $i(all_92_0)
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (69), (139) imply:
% 44.64/6.68 | (148) $i(all_76_6)
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (68), (139) imply:
% 44.64/6.68 | (149) v1_group_1(all_76_6)
% 44.64/6.68 |
% 44.64/6.68 | REDUCE: (67), (139) imply:
% 44.64/6.68 | (150) m1_group_2(all_76_6, all_76_16)
% 44.64/6.68 |
% 44.64/6.69 | GROUND_INST: instantiating (11) with all_76_7, all_135_1, all_76_8, all_76_10,
% 44.64/6.69 | simplifying with (34), (143) gives:
% 44.64/6.69 | (151) all_135_1 = all_76_7
% 44.64/6.69 |
% 44.64/6.69 | GROUND_INST: instantiating (11) with all_76_7, all_133_1, all_76_10, all_76_8,
% 44.64/6.69 | simplifying with (50), (144) gives:
% 44.64/6.69 | (152) all_133_1 = all_76_7
% 44.64/6.69 |
% 44.64/6.69 | GROUND_INST: instantiating (10) with all_76_14, all_119_0, all_76_15,
% 44.64/6.69 | simplifying with (35), (142) gives:
% 44.64/6.69 | (153) all_119_0 = all_76_14
% 44.64/6.69 |
% 44.64/6.69 | BETA: splitting (52) gives:
% 44.64/6.69 |
% 44.64/6.69 | Case 1:
% 44.64/6.69 | |
% 44.64/6.69 | | (154) m1_group_2(all_76_2, all_76_16)
% 44.64/6.69 | |
% 44.64/6.69 | | BETA: splitting (51) gives:
% 44.64/6.69 | |
% 44.64/6.69 | | Case 1:
% 44.64/6.69 | | |
% 44.64/6.69 | | | (155) v1_group_1(all_76_2)
% 44.64/6.69 | | |
% 44.64/6.69 | | | BETA: splitting (104) gives:
% 44.64/6.69 | | |
% 44.64/6.69 | | | Case 1:
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | (156) ~ m1_subset_1(all_133_1, all_119_0)
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | REDUCE: (152), (153), (156) imply:
% 44.64/6.69 | | | | (157) ~ m1_subset_1(all_76_7, all_76_14)
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | PRED_UNIFY: (23), (157) imply:
% 44.64/6.69 | | | | (158) $false
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | CLOSE: (158) is inconsistent.
% 44.64/6.69 | | | |
% 44.64/6.69 | | | Case 2:
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | (159) m1_subset_1(all_133_1, all_119_0)
% 44.64/6.69 | | | | (160) ? [v0: $i] : (k5_group_4(all_76_16, all_133_1) = v0 & $i(v0) &
% 44.64/6.69 | | | | r1_group_2(all_76_16, all_133_0, v0))
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | DELTA: instantiating (160) with fresh symbol all_159_0 gives:
% 44.64/6.69 | | | | (161) k5_group_4(all_76_16, all_133_1) = all_159_0 & $i(all_159_0) &
% 44.64/6.69 | | | | r1_group_2(all_76_16, all_133_0, all_159_0)
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | ALPHA: (161) implies:
% 44.64/6.69 | | | | (162) r1_group_2(all_76_16, all_133_0, all_159_0)
% 44.64/6.69 | | | | (163) $i(all_159_0)
% 44.64/6.69 | | | | (164) k5_group_4(all_76_16, all_133_1) = all_159_0
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | REDUCE: (152), (164) imply:
% 44.64/6.69 | | | | (165) k5_group_4(all_76_16, all_76_7) = all_159_0
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | REDUCE: (127), (162) imply:
% 44.64/6.69 | | | | (166) r1_group_2(all_76_16, all_96_0, all_159_0)
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | BETA: splitting (109) gives:
% 44.64/6.69 | | | |
% 44.64/6.69 | | | | Case 1:
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | (167) ~ m1_subset_1(all_135_1, all_119_0)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | REDUCE: (151), (153), (167) imply:
% 44.64/6.69 | | | | | (168) ~ m1_subset_1(all_76_7, all_76_14)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | PRED_UNIFY: (23), (168) imply:
% 44.64/6.69 | | | | | (169) $false
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | CLOSE: (169) is inconsistent.
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | Case 2:
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | (170) ? [v0: $i] : (k5_group_4(all_76_16, all_135_1) = v0 & $i(v0)
% 44.64/6.69 | | | | | & r1_group_2(all_76_16, all_135_0, v0))
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | DELTA: instantiating (170) with fresh symbol all_165_0 gives:
% 44.64/6.69 | | | | | (171) k5_group_4(all_76_16, all_135_1) = all_165_0 & $i(all_165_0)
% 44.64/6.69 | | | | | & r1_group_2(all_76_16, all_135_0, all_165_0)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | ALPHA: (171) implies:
% 44.64/6.69 | | | | | (172) r1_group_2(all_76_16, all_135_0, all_165_0)
% 44.64/6.69 | | | | | (173) k5_group_4(all_76_16, all_135_1) = all_165_0
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | REDUCE: (151), (173) imply:
% 44.64/6.69 | | | | | (174) k5_group_4(all_76_16, all_76_7) = all_165_0
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | REDUCE: (125), (172) imply:
% 44.64/6.69 | | | | | (175) r1_group_2(all_76_16, all_76_6, all_165_0)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | GROUND_INST: instantiating (12) with all_76_2, all_165_0, all_76_7,
% 44.64/6.69 | | | | | all_76_16, simplifying with (38), (174) gives:
% 44.64/6.69 | | | | | (176) all_165_0 = all_76_2
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | GROUND_INST: instantiating (12) with all_159_0, all_165_0, all_76_7,
% 44.64/6.69 | | | | | all_76_16, simplifying with (165), (174) gives:
% 44.64/6.69 | | | | | (177) all_165_0 = all_159_0
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | COMBINE_EQS: (176), (177) imply:
% 44.64/6.69 | | | | | (178) all_159_0 = all_76_2
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | REDUCE: (163), (178) imply:
% 44.64/6.69 | | | | | (179) $i(all_76_2)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | REDUCE: (166), (178) imply:
% 44.64/6.69 | | | | | (180) r1_group_2(all_76_16, all_96_0, all_76_2)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | REDUCE: (175), (176) imply:
% 44.64/6.69 | | | | | (181) r1_group_2(all_76_16, all_76_6, all_76_2)
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | GROUND_INST: instantiating (87) with all_76_6, simplifying with (148),
% 44.64/6.69 | | | | | (150) gives:
% 44.64/6.69 | | | | | (182) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.69 | | | | | (k8_group_4(all_76_16, all_76_9, all_76_6) = v2 &
% 44.64/6.69 | | | | | k2_xboole_0(all_125_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.69 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.69 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.69 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | GROUND_INST: instantiating (92) with all_76_6, simplifying with (148),
% 44.64/6.69 | | | | | (150) gives:
% 44.64/6.69 | | | | | (183) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.69 | | | | | (k8_group_4(all_76_16, all_76_11, all_76_6) = v2 &
% 44.64/6.69 | | | | | k2_xboole_0(all_128_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.69 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.69 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.69 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | GROUND_INST: instantiating (80) with all_76_6, simplifying with (148),
% 44.64/6.69 | | | | | (150) gives:
% 44.64/6.69 | | | | | (184) ? [v0: $i] : (u1_struct_0(all_76_6) = v0 & $i(v0) & ! [v1:
% 44.64/6.69 | | | | | $i] : ( ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2:
% 44.64/6.69 | | | | | $i] : ? [v3: $i] : ? [v4: $i] :
% 44.64/6.69 | | | | | (k8_group_4(all_76_16, all_76_6, v1) = v4 &
% 44.64/6.69 | | | | | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 &
% 44.64/6.69 | | | | | $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v3,
% 44.64/6.69 | | | | | all_119_0) | ? [v5: $i] : (k5_group_4(all_76_16,
% 44.64/6.69 | | | | | v3) = v5 & $i(v5) & r1_group_2(all_76_16, v4,
% 44.64/6.69 | | | | | v5))))))
% 44.64/6.69 | | | | |
% 44.64/6.69 | | | | | GROUND_INST: instantiating (87) with all_76_2, simplifying with (154),
% 44.64/6.69 | | | | | (179) gives:
% 44.64/6.70 | | | | | (185) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_76_9, all_76_2) = v2 &
% 44.64/6.70 | | | | | k2_xboole_0(all_125_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.70 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.70 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.70 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (92) with all_76_2, simplifying with (154),
% 44.64/6.70 | | | | | (179) gives:
% 44.64/6.70 | | | | | (186) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_76_11, all_76_2) = v2 &
% 44.64/6.70 | | | | | k2_xboole_0(all_128_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.70 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.70 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.70 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (80) with all_76_2, simplifying with (154),
% 44.64/6.70 | | | | | (179) gives:
% 44.64/6.70 | | | | | (187) ? [v0: $i] : (u1_struct_0(all_76_2) = v0 & $i(v0) & ! [v1:
% 44.64/6.70 | | | | | $i] : ( ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2:
% 44.64/6.70 | | | | | $i] : ? [v3: $i] : ? [v4: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_76_2, v1) = v4 &
% 44.64/6.70 | | | | | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 &
% 44.64/6.70 | | | | | $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v3,
% 44.64/6.70 | | | | | all_119_0) | ? [v5: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | v3) = v5 & $i(v5) & r1_group_2(all_76_16, v4,
% 44.64/6.70 | | | | | v5))))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (80) with all_86_0, simplifying with (54),
% 44.64/6.70 | | | | | (55) gives:
% 44.64/6.70 | | | | | (188) ? [v0: $i] : (u1_struct_0(all_86_0) = v0 & $i(v0) & ! [v1:
% 44.64/6.70 | | | | | $i] : ( ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2:
% 44.64/6.70 | | | | | $i] : ? [v3: $i] : ? [v4: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_86_0, v1) = v4 &
% 44.64/6.70 | | | | | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 &
% 44.64/6.70 | | | | | $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v3,
% 44.64/6.70 | | | | | all_119_0) | ? [v5: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | v3) = v5 & $i(v5) & r1_group_2(all_76_16, v4,
% 44.64/6.70 | | | | | v5))))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (80) with all_92_0, simplifying with (57),
% 44.64/6.70 | | | | | (147) gives:
% 44.64/6.70 | | | | | (189) ? [v0: $i] : (u1_struct_0(all_92_0) = v0 & $i(v0) & ! [v1:
% 44.64/6.70 | | | | | $i] : ( ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2:
% 44.64/6.70 | | | | | $i] : ? [v3: $i] : ? [v4: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_92_0, v1) = v4 &
% 44.64/6.70 | | | | | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 &
% 44.64/6.70 | | | | | $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v3,
% 44.64/6.70 | | | | | all_119_0) | ? [v5: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | v3) = v5 & $i(v5) & r1_group_2(all_76_16, v4,
% 44.64/6.70 | | | | | v5))))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (80) with all_94_0, simplifying with (60),
% 44.64/6.70 | | | | | (145) gives:
% 44.64/6.70 | | | | | (190) ? [v0: $i] : (u1_struct_0(all_94_0) = v0 & $i(v0) & ! [v1:
% 44.64/6.70 | | | | | $i] : ( ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2:
% 44.64/6.70 | | | | | $i] : ? [v3: $i] : ? [v4: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_94_0, v1) = v4 &
% 44.64/6.70 | | | | | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 &
% 44.64/6.70 | | | | | $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v3,
% 44.64/6.70 | | | | | all_119_0) | ? [v5: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | v3) = v5 & $i(v5) & r1_group_2(all_76_16, v4,
% 44.64/6.70 | | | | | v5))))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (87) with all_96_0, simplifying with (63),
% 44.64/6.70 | | | | | (146) gives:
% 44.64/6.70 | | | | | (191) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_76_9, all_96_0) = v2 &
% 44.64/6.70 | | | | | k2_xboole_0(all_125_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.70 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.70 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.70 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (92) with all_96_0, simplifying with (63),
% 44.64/6.70 | | | | | (146) gives:
% 44.64/6.70 | | | | | (192) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_76_11, all_96_0) = v2 &
% 44.64/6.70 | | | | | k2_xboole_0(all_128_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.70 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.70 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.70 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (80) with all_96_0, simplifying with (63),
% 44.64/6.70 | | | | | (146) gives:
% 44.64/6.70 | | | | | (193) ? [v0: $i] : (u1_struct_0(all_96_0) = v0 & $i(v0) & ! [v1:
% 44.64/6.70 | | | | | $i] : ( ~ $i(v1) | ~ m1_group_2(v1, all_76_16) | ? [v2:
% 44.64/6.70 | | | | | $i] : ? [v3: $i] : ? [v4: $i] :
% 44.64/6.70 | | | | | (k8_group_4(all_76_16, all_96_0, v1) = v4 &
% 44.64/6.70 | | | | | k2_xboole_0(v0, v2) = v3 & u1_struct_0(v1) = v2 &
% 44.64/6.70 | | | | | $i(v4) & $i(v3) & $i(v2) & ( ~ m1_subset_1(v3,
% 44.64/6.70 | | | | | all_119_0) | ? [v5: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | v3) = v5 & $i(v5) & r1_group_2(all_76_16, v4,
% 44.64/6.70 | | | | | v5))))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (3) with all_76_16, all_76_6, all_76_2,
% 44.64/6.70 | | | | | simplifying with (17), (18), (19), (20), (24), (148),
% 44.64/6.70 | | | | | (149), (150), (154), (155), (179), (181) gives:
% 44.64/6.70 | | | | | (194) all_76_2 = all_76_6
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | GROUND_INST: instantiating (3) with all_76_16, all_96_0, all_76_2,
% 44.64/6.70 | | | | | simplifying with (17), (18), (19), (20), (24), (63),
% 44.64/6.70 | | | | | (64), (146), (154), (155), (179), (180) gives:
% 44.64/6.70 | | | | | (195) all_96_0 = all_76_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | COMBINE_EQS: (194), (195) imply:
% 44.64/6.70 | | | | | (196) all_96_0 = all_76_6
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (182) with fresh symbols all_345_0, all_345_1,
% 44.64/6.70 | | | | | all_345_2 gives:
% 44.64/6.70 | | | | | (197) k8_group_4(all_76_16, all_76_9, all_76_6) = all_345_0 &
% 44.64/6.70 | | | | | k2_xboole_0(all_125_0, all_345_2) = all_345_1 &
% 44.64/6.70 | | | | | u1_struct_0(all_76_6) = all_345_2 & $i(all_345_0) &
% 44.64/6.70 | | | | | $i(all_345_1) & $i(all_345_2) & ( ~ m1_subset_1(all_345_1,
% 44.64/6.70 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | all_345_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.70 | | | | | all_345_0, v0)))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (197) implies:
% 44.64/6.70 | | | | | (198) u1_struct_0(all_76_6) = all_345_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (185) with fresh symbols all_347_0, all_347_1,
% 44.64/6.70 | | | | | all_347_2 gives:
% 44.64/6.70 | | | | | (199) k8_group_4(all_76_16, all_76_9, all_76_2) = all_347_0 &
% 44.64/6.70 | | | | | k2_xboole_0(all_125_0, all_347_2) = all_347_1 &
% 44.64/6.70 | | | | | u1_struct_0(all_76_2) = all_347_2 & $i(all_347_0) &
% 44.64/6.70 | | | | | $i(all_347_1) & $i(all_347_2) & ( ~ m1_subset_1(all_347_1,
% 44.64/6.70 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | all_347_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.70 | | | | | all_347_0, v0)))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (199) implies:
% 44.64/6.70 | | | | | (200) u1_struct_0(all_76_2) = all_347_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (192) with fresh symbols all_349_0, all_349_1,
% 44.64/6.70 | | | | | all_349_2 gives:
% 44.64/6.70 | | | | | (201) k8_group_4(all_76_16, all_76_11, all_96_0) = all_349_0 &
% 44.64/6.70 | | | | | k2_xboole_0(all_128_0, all_349_2) = all_349_1 &
% 44.64/6.70 | | | | | u1_struct_0(all_96_0) = all_349_2 & $i(all_349_0) &
% 44.64/6.70 | | | | | $i(all_349_1) & $i(all_349_2) & ( ~ m1_subset_1(all_349_1,
% 44.64/6.70 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | all_349_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.70 | | | | | all_349_0, v0)))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (201) implies:
% 44.64/6.70 | | | | | (202) u1_struct_0(all_96_0) = all_349_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (186) with fresh symbols all_353_0, all_353_1,
% 44.64/6.70 | | | | | all_353_2 gives:
% 44.64/6.70 | | | | | (203) k8_group_4(all_76_16, all_76_11, all_76_2) = all_353_0 &
% 44.64/6.70 | | | | | k2_xboole_0(all_128_0, all_353_2) = all_353_1 &
% 44.64/6.70 | | | | | u1_struct_0(all_76_2) = all_353_2 & $i(all_353_0) &
% 44.64/6.70 | | | | | $i(all_353_1) & $i(all_353_2) & ( ~ m1_subset_1(all_353_1,
% 44.64/6.70 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | all_353_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.70 | | | | | all_353_0, v0)))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (203) implies:
% 44.64/6.70 | | | | | (204) u1_struct_0(all_76_2) = all_353_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (183) with fresh symbols all_361_0, all_361_1,
% 44.64/6.70 | | | | | all_361_2 gives:
% 44.64/6.70 | | | | | (205) k8_group_4(all_76_16, all_76_11, all_76_6) = all_361_0 &
% 44.64/6.70 | | | | | k2_xboole_0(all_128_0, all_361_2) = all_361_1 &
% 44.64/6.70 | | | | | u1_struct_0(all_76_6) = all_361_2 & $i(all_361_0) &
% 44.64/6.70 | | | | | $i(all_361_1) & $i(all_361_2) & ( ~ m1_subset_1(all_361_1,
% 44.64/6.70 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | all_361_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.70 | | | | | all_361_0, v0)))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (205) implies:
% 44.64/6.70 | | | | | (206) u1_struct_0(all_76_6) = all_361_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (191) with fresh symbols all_363_0, all_363_1,
% 44.64/6.70 | | | | | all_363_2 gives:
% 44.64/6.70 | | | | | (207) k8_group_4(all_76_16, all_76_9, all_96_0) = all_363_0 &
% 44.64/6.70 | | | | | k2_xboole_0(all_125_0, all_363_2) = all_363_1 &
% 44.64/6.70 | | | | | u1_struct_0(all_96_0) = all_363_2 & $i(all_363_0) &
% 44.64/6.70 | | | | | $i(all_363_1) & $i(all_363_2) & ( ~ m1_subset_1(all_363_1,
% 44.64/6.70 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.70 | | | | | all_363_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.70 | | | | | all_363_0, v0)))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (207) implies:
% 44.64/6.70 | | | | | (208) u1_struct_0(all_96_0) = all_363_2
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | DELTA: instantiating (190) with fresh symbol all_368_0 gives:
% 44.64/6.70 | | | | | (209) u1_struct_0(all_94_0) = all_368_0 & $i(all_368_0) & ! [v0:
% 44.64/6.70 | | | | | $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1:
% 44.64/6.70 | | | | | $i] : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16,
% 44.64/6.70 | | | | | all_94_0, v0) = v3 & k2_xboole_0(all_368_0, v1) = v2 &
% 44.64/6.70 | | | | | u1_struct_0(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~
% 44.64/6.70 | | | | | m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.70 | | | | | (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.70 | | | | | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.70 | | | | |
% 44.64/6.70 | | | | | ALPHA: (209) implies:
% 44.64/6.71 | | | | | (210) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ?
% 44.64/6.71 | | | | | [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_94_0, v0) = v3 &
% 44.64/6.71 | | | | | k2_xboole_0(all_368_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.71 | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0)
% 44.64/6.71 | | | | | | ? [v4: $i] : (k5_group_4(all_76_16, v2) = v4 &
% 44.64/6.71 | | | | | $i(v4) & r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (210) with all_76_6, simplifying with
% 44.64/6.71 | | | | | (148), (150) gives:
% 44.64/6.71 | | | | | (211) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_94_0, all_76_6) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_368_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (210) with all_76_2, simplifying with
% 44.64/6.71 | | | | | (154), (179) gives:
% 44.64/6.71 | | | | | (212) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_94_0, all_76_2) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_368_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (210) with all_96_0, simplifying with (63),
% 44.64/6.71 | | | | | (146) gives:
% 44.64/6.71 | | | | | (213) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_94_0, all_96_0) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_368_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | DELTA: instantiating (193) with fresh symbol all_371_0 gives:
% 44.64/6.71 | | | | | (214) u1_struct_0(all_96_0) = all_371_0 & $i(all_371_0) & ! [v0:
% 44.64/6.71 | | | | | $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1:
% 44.64/6.71 | | | | | $i] : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16,
% 44.64/6.71 | | | | | all_96_0, v0) = v3 & k2_xboole_0(all_371_0, v1) = v2 &
% 44.64/6.71 | | | | | u1_struct_0(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~
% 44.64/6.71 | | | | | m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.71 | | | | | (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.71 | | | | | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | ALPHA: (214) implies:
% 44.64/6.71 | | | | | (215) u1_struct_0(all_96_0) = all_371_0
% 44.64/6.71 | | | | | (216) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ?
% 44.64/6.71 | | | | | [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_96_0, v0) = v3 &
% 44.64/6.71 | | | | | k2_xboole_0(all_371_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.71 | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0)
% 44.64/6.71 | | | | | | ? [v4: $i] : (k5_group_4(all_76_16, v2) = v4 &
% 44.64/6.71 | | | | | $i(v4) & r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (216) with all_76_6, simplifying with
% 44.64/6.71 | | | | | (148), (150) gives:
% 44.64/6.71 | | | | | (217) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_96_0, all_76_6) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_371_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (216) with all_76_2, simplifying with
% 44.64/6.71 | | | | | (154), (179) gives:
% 44.64/6.71 | | | | | (218) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_96_0, all_76_2) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_371_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (216) with all_96_0, simplifying with (63),
% 44.64/6.71 | | | | | (146) gives:
% 44.64/6.71 | | | | | (219) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_96_0, all_96_0) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_371_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | DELTA: instantiating (189) with fresh symbol all_374_0 gives:
% 44.64/6.71 | | | | | (220) u1_struct_0(all_92_0) = all_374_0 & $i(all_374_0) & ! [v0:
% 44.64/6.71 | | | | | $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1:
% 44.64/6.71 | | | | | $i] : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16,
% 44.64/6.71 | | | | | all_92_0, v0) = v3 & k2_xboole_0(all_374_0, v1) = v2 &
% 44.64/6.71 | | | | | u1_struct_0(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~
% 44.64/6.71 | | | | | m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.71 | | | | | (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.71 | | | | | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | ALPHA: (220) implies:
% 44.64/6.71 | | | | | (221) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ?
% 44.64/6.71 | | | | | [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_92_0, v0) = v3 &
% 44.64/6.71 | | | | | k2_xboole_0(all_374_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.71 | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0)
% 44.64/6.71 | | | | | | ? [v4: $i] : (k5_group_4(all_76_16, v2) = v4 &
% 44.64/6.71 | | | | | $i(v4) & r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (221) with all_76_6, simplifying with
% 44.64/6.71 | | | | | (148), (150) gives:
% 44.64/6.71 | | | | | (222) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_92_0, all_76_6) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_374_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (221) with all_76_2, simplifying with
% 44.64/6.71 | | | | | (154), (179) gives:
% 44.64/6.71 | | | | | (223) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_92_0, all_76_2) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_374_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (221) with all_96_0, simplifying with (63),
% 44.64/6.71 | | | | | (146) gives:
% 44.64/6.71 | | | | | (224) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_92_0, all_96_0) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_374_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | DELTA: instantiating (184) with fresh symbol all_377_0 gives:
% 44.64/6.71 | | | | | (225) u1_struct_0(all_76_6) = all_377_0 & $i(all_377_0) & ! [v0:
% 44.64/6.71 | | | | | $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1:
% 44.64/6.71 | | | | | $i] : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16,
% 44.64/6.71 | | | | | all_76_6, v0) = v3 & k2_xboole_0(all_377_0, v1) = v2 &
% 44.64/6.71 | | | | | u1_struct_0(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~
% 44.64/6.71 | | | | | m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.71 | | | | | (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.71 | | | | | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | ALPHA: (225) implies:
% 44.64/6.71 | | | | | (226) u1_struct_0(all_76_6) = all_377_0
% 44.64/6.71 | | | | | (227) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ?
% 44.64/6.71 | | | | | [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_76_6, v0) = v3 &
% 44.64/6.71 | | | | | k2_xboole_0(all_377_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.71 | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0)
% 44.64/6.71 | | | | | | ? [v4: $i] : (k5_group_4(all_76_16, v2) = v4 &
% 44.64/6.71 | | | | | $i(v4) & r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (227) with all_76_6, simplifying with
% 44.64/6.71 | | | | | (148), (150) gives:
% 44.64/6.71 | | | | | (228) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_76_6, all_76_6) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_377_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (227) with all_76_2, simplifying with
% 44.64/6.71 | | | | | (154), (179) gives:
% 44.64/6.71 | | | | | (229) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_76_6, all_76_2) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_377_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | GROUND_INST: instantiating (227) with all_96_0, simplifying with (63),
% 44.64/6.71 | | | | | (146) gives:
% 44.64/6.71 | | | | | (230) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.71 | | | | | (k8_group_4(all_76_16, all_76_6, all_96_0) = v2 &
% 44.64/6.71 | | | | | k2_xboole_0(all_377_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.71 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.71 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.71 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | DELTA: instantiating (188) with fresh symbol all_380_0 gives:
% 44.64/6.71 | | | | | (231) u1_struct_0(all_86_0) = all_380_0 & $i(all_380_0) & ! [v0:
% 44.64/6.71 | | | | | $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1:
% 44.64/6.71 | | | | | $i] : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16,
% 44.64/6.71 | | | | | all_86_0, v0) = v3 & k2_xboole_0(all_380_0, v1) = v2 &
% 44.64/6.71 | | | | | u1_struct_0(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~
% 44.64/6.71 | | | | | m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.71 | | | | | (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.71 | | | | | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.71 | | | | |
% 44.64/6.71 | | | | | ALPHA: (231) implies:
% 44.64/6.72 | | | | | (232) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ?
% 44.64/6.72 | | | | | [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_86_0, v0) = v3 &
% 44.64/6.72 | | | | | k2_xboole_0(all_380_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.72 | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0)
% 44.64/6.72 | | | | | | ? [v4: $i] : (k5_group_4(all_76_16, v2) = v4 &
% 44.64/6.72 | | | | | $i(v4) & r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | GROUND_INST: instantiating (232) with all_76_6, simplifying with
% 44.64/6.72 | | | | | (148), (150) gives:
% 44.64/6.72 | | | | | (233) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_86_0, all_76_6) = v2 &
% 44.64/6.72 | | | | | k2_xboole_0(all_380_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.72 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.72 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.72 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | GROUND_INST: instantiating (232) with all_76_2, simplifying with
% 44.64/6.72 | | | | | (154), (179) gives:
% 44.64/6.72 | | | | | (234) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_86_0, all_76_2) = v2 &
% 44.64/6.72 | | | | | k2_xboole_0(all_380_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.72 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.72 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.72 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | GROUND_INST: instantiating (232) with all_96_0, simplifying with (63),
% 44.64/6.72 | | | | | (146) gives:
% 44.64/6.72 | | | | | (235) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_86_0, all_96_0) = v2 &
% 44.64/6.72 | | | | | k2_xboole_0(all_380_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.72 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.72 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.72 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | DELTA: instantiating (187) with fresh symbol all_383_0 gives:
% 44.64/6.72 | | | | | (236) u1_struct_0(all_76_2) = all_383_0 & $i(all_383_0) & ! [v0:
% 44.64/6.72 | | | | | $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ? [v1:
% 44.64/6.72 | | | | | $i] : ? [v2: $i] : ? [v3: $i] : (k8_group_4(all_76_16,
% 44.64/6.72 | | | | | all_76_2, v0) = v3 & k2_xboole_0(all_383_0, v1) = v2 &
% 44.64/6.72 | | | | | u1_struct_0(v0) = v1 & $i(v3) & $i(v2) & $i(v1) & ( ~
% 44.64/6.72 | | | | | m1_subset_1(v2, all_119_0) | ? [v4: $i] :
% 44.64/6.72 | | | | | (k5_group_4(all_76_16, v2) = v4 & $i(v4) &
% 44.64/6.72 | | | | | r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | ALPHA: (236) implies:
% 44.64/6.72 | | | | | (237) u1_struct_0(all_76_2) = all_383_0
% 44.64/6.72 | | | | | (238) ! [v0: $i] : ( ~ $i(v0) | ~ m1_group_2(v0, all_76_16) | ?
% 44.64/6.72 | | | | | [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_76_2, v0) = v3 &
% 44.64/6.72 | | | | | k2_xboole_0(all_383_0, v1) = v2 & u1_struct_0(v0) = v1 &
% 44.64/6.72 | | | | | $i(v3) & $i(v2) & $i(v1) & ( ~ m1_subset_1(v2, all_119_0)
% 44.64/6.72 | | | | | | ? [v4: $i] : (k5_group_4(all_76_16, v2) = v4 &
% 44.64/6.72 | | | | | $i(v4) & r1_group_2(all_76_16, v3, v4)))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | GROUND_INST: instantiating (238) with all_76_6, simplifying with
% 44.64/6.72 | | | | | (148), (150) gives:
% 44.64/6.72 | | | | | (239) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_76_2, all_76_6) = v2 &
% 44.64/6.72 | | | | | k2_xboole_0(all_383_0, v0) = v1 & u1_struct_0(all_76_6) =
% 44.64/6.72 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.72 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.72 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | GROUND_INST: instantiating (238) with all_76_2, simplifying with
% 44.64/6.72 | | | | | (154), (179) gives:
% 44.64/6.72 | | | | | (240) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_76_2, all_76_2) = v2 &
% 44.64/6.72 | | | | | k2_xboole_0(all_383_0, v0) = v1 & u1_struct_0(all_76_2) =
% 44.64/6.72 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.72 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.72 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | GROUND_INST: instantiating (238) with all_96_0, simplifying with (63),
% 44.64/6.72 | | | | | (146) gives:
% 44.64/6.72 | | | | | (241) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 44.64/6.72 | | | | | (k8_group_4(all_76_16, all_76_2, all_96_0) = v2 &
% 44.64/6.72 | | | | | k2_xboole_0(all_383_0, v0) = v1 & u1_struct_0(all_96_0) =
% 44.64/6.72 | | | | | v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ m1_subset_1(v1,
% 44.64/6.72 | | | | | all_119_0) | ? [v3: $i] : (k5_group_4(all_76_16, v1) =
% 44.64/6.72 | | | | | v3 & $i(v3) & r1_group_2(all_76_16, v2, v3))))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | DELTA: instantiating (213) with fresh symbols all_388_0, all_388_1,
% 44.64/6.72 | | | | | all_388_2 gives:
% 44.64/6.72 | | | | | (242) k8_group_4(all_76_16, all_94_0, all_96_0) = all_388_0 &
% 44.64/6.72 | | | | | k2_xboole_0(all_368_0, all_388_2) = all_388_1 &
% 44.64/6.72 | | | | | u1_struct_0(all_96_0) = all_388_2 & $i(all_388_0) &
% 44.64/6.72 | | | | | $i(all_388_1) & $i(all_388_2) & ( ~ m1_subset_1(all_388_1,
% 44.64/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.72 | | | | | all_388_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.72 | | | | | all_388_0, v0)))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | ALPHA: (242) implies:
% 44.64/6.72 | | | | | (243) u1_struct_0(all_96_0) = all_388_2
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | DELTA: instantiating (212) with fresh symbols all_394_0, all_394_1,
% 44.64/6.72 | | | | | all_394_2 gives:
% 44.64/6.72 | | | | | (244) k8_group_4(all_76_16, all_94_0, all_76_2) = all_394_0 &
% 44.64/6.72 | | | | | k2_xboole_0(all_368_0, all_394_2) = all_394_1 &
% 44.64/6.72 | | | | | u1_struct_0(all_76_2) = all_394_2 & $i(all_394_0) &
% 44.64/6.72 | | | | | $i(all_394_1) & $i(all_394_2) & ( ~ m1_subset_1(all_394_1,
% 44.64/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.72 | | | | | all_394_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.72 | | | | | all_394_0, v0)))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | ALPHA: (244) implies:
% 44.64/6.72 | | | | | (245) u1_struct_0(all_76_2) = all_394_2
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | DELTA: instantiating (211) with fresh symbols all_396_0, all_396_1,
% 44.64/6.72 | | | | | all_396_2 gives:
% 44.64/6.72 | | | | | (246) k8_group_4(all_76_16, all_94_0, all_76_6) = all_396_0 &
% 44.64/6.72 | | | | | k2_xboole_0(all_368_0, all_396_2) = all_396_1 &
% 44.64/6.72 | | | | | u1_struct_0(all_76_6) = all_396_2 & $i(all_396_0) &
% 44.64/6.72 | | | | | $i(all_396_1) & $i(all_396_2) & ( ~ m1_subset_1(all_396_1,
% 44.64/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.72 | | | | | all_396_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.72 | | | | | all_396_0, v0)))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | ALPHA: (246) implies:
% 44.64/6.72 | | | | | (247) u1_struct_0(all_76_6) = all_396_2
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | DELTA: instantiating (219) with fresh symbols all_404_0, all_404_1,
% 44.64/6.72 | | | | | all_404_2 gives:
% 44.64/6.72 | | | | | (248) k8_group_4(all_76_16, all_96_0, all_96_0) = all_404_0 &
% 44.64/6.72 | | | | | k2_xboole_0(all_371_0, all_404_2) = all_404_1 &
% 44.64/6.72 | | | | | u1_struct_0(all_96_0) = all_404_2 & $i(all_404_0) &
% 44.64/6.72 | | | | | $i(all_404_1) & $i(all_404_2) & ( ~ m1_subset_1(all_404_1,
% 44.64/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.72 | | | | | all_404_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.72 | | | | | all_404_0, v0)))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | ALPHA: (248) implies:
% 44.64/6.72 | | | | | (249) u1_struct_0(all_96_0) = all_404_2
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | DELTA: instantiating (218) with fresh symbols all_412_0, all_412_1,
% 44.64/6.72 | | | | | all_412_2 gives:
% 44.64/6.72 | | | | | (250) k8_group_4(all_76_16, all_96_0, all_76_2) = all_412_0 &
% 44.64/6.72 | | | | | k2_xboole_0(all_371_0, all_412_2) = all_412_1 &
% 44.64/6.72 | | | | | u1_struct_0(all_76_2) = all_412_2 & $i(all_412_0) &
% 44.64/6.72 | | | | | $i(all_412_1) & $i(all_412_2) & ( ~ m1_subset_1(all_412_1,
% 44.64/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 44.64/6.72 | | | | | all_412_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 44.64/6.72 | | | | | all_412_0, v0)))
% 44.64/6.72 | | | | |
% 44.64/6.72 | | | | | ALPHA: (250) implies:
% 44.64/6.72 | | | | | (251) u1_struct_0(all_76_2) = all_412_2
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | DELTA: instantiating (217) with fresh symbols all_414_0, all_414_1,
% 45.07/6.72 | | | | | all_414_2 gives:
% 45.07/6.72 | | | | | (252) k8_group_4(all_76_16, all_96_0, all_76_6) = all_414_0 &
% 45.07/6.72 | | | | | k2_xboole_0(all_371_0, all_414_2) = all_414_1 &
% 45.07/6.72 | | | | | u1_struct_0(all_76_6) = all_414_2 & $i(all_414_0) &
% 45.07/6.72 | | | | | $i(all_414_1) & $i(all_414_2) & ( ~ m1_subset_1(all_414_1,
% 45.07/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.72 | | | | | all_414_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.72 | | | | | all_414_0, v0)))
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | ALPHA: (252) implies:
% 45.07/6.72 | | | | | (253) u1_struct_0(all_76_6) = all_414_2
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | DELTA: instantiating (224) with fresh symbols all_420_0, all_420_1,
% 45.07/6.72 | | | | | all_420_2 gives:
% 45.07/6.72 | | | | | (254) k8_group_4(all_76_16, all_92_0, all_96_0) = all_420_0 &
% 45.07/6.72 | | | | | k2_xboole_0(all_374_0, all_420_2) = all_420_1 &
% 45.07/6.72 | | | | | u1_struct_0(all_96_0) = all_420_2 & $i(all_420_0) &
% 45.07/6.72 | | | | | $i(all_420_1) & $i(all_420_2) & ( ~ m1_subset_1(all_420_1,
% 45.07/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.72 | | | | | all_420_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.72 | | | | | all_420_0, v0)))
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | ALPHA: (254) implies:
% 45.07/6.72 | | | | | (255) u1_struct_0(all_96_0) = all_420_2
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | DELTA: instantiating (223) with fresh symbols all_428_0, all_428_1,
% 45.07/6.72 | | | | | all_428_2 gives:
% 45.07/6.72 | | | | | (256) k8_group_4(all_76_16, all_92_0, all_76_2) = all_428_0 &
% 45.07/6.72 | | | | | k2_xboole_0(all_374_0, all_428_2) = all_428_1 &
% 45.07/6.72 | | | | | u1_struct_0(all_76_2) = all_428_2 & $i(all_428_0) &
% 45.07/6.72 | | | | | $i(all_428_1) & $i(all_428_2) & ( ~ m1_subset_1(all_428_1,
% 45.07/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.72 | | | | | all_428_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.72 | | | | | all_428_0, v0)))
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | ALPHA: (256) implies:
% 45.07/6.72 | | | | | (257) u1_struct_0(all_76_2) = all_428_2
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | DELTA: instantiating (222) with fresh symbols all_430_0, all_430_1,
% 45.07/6.72 | | | | | all_430_2 gives:
% 45.07/6.72 | | | | | (258) k8_group_4(all_76_16, all_92_0, all_76_6) = all_430_0 &
% 45.07/6.72 | | | | | k2_xboole_0(all_374_0, all_430_2) = all_430_1 &
% 45.07/6.72 | | | | | u1_struct_0(all_76_6) = all_430_2 & $i(all_430_0) &
% 45.07/6.72 | | | | | $i(all_430_1) & $i(all_430_2) & ( ~ m1_subset_1(all_430_1,
% 45.07/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.72 | | | | | all_430_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.72 | | | | | all_430_0, v0)))
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | ALPHA: (258) implies:
% 45.07/6.72 | | | | | (259) u1_struct_0(all_76_6) = all_430_2
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | DELTA: instantiating (230) with fresh symbols all_436_0, all_436_1,
% 45.07/6.72 | | | | | all_436_2 gives:
% 45.07/6.72 | | | | | (260) k8_group_4(all_76_16, all_76_6, all_96_0) = all_436_0 &
% 45.07/6.72 | | | | | k2_xboole_0(all_377_0, all_436_2) = all_436_1 &
% 45.07/6.72 | | | | | u1_struct_0(all_96_0) = all_436_2 & $i(all_436_0) &
% 45.07/6.72 | | | | | $i(all_436_1) & $i(all_436_2) & ( ~ m1_subset_1(all_436_1,
% 45.07/6.72 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.72 | | | | | all_436_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.72 | | | | | all_436_0, v0)))
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | ALPHA: (260) implies:
% 45.07/6.72 | | | | | (261) u1_struct_0(all_96_0) = all_436_2
% 45.07/6.72 | | | | |
% 45.07/6.72 | | | | | DELTA: instantiating (229) with fresh symbols all_444_0, all_444_1,
% 45.07/6.72 | | | | | all_444_2 gives:
% 45.07/6.73 | | | | | (262) k8_group_4(all_76_16, all_76_6, all_76_2) = all_444_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_377_0, all_444_2) = all_444_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_76_2) = all_444_2 & $i(all_444_0) &
% 45.07/6.73 | | | | | $i(all_444_1) & $i(all_444_2) & ( ~ m1_subset_1(all_444_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_444_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_444_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (262) implies:
% 45.07/6.73 | | | | | (263) u1_struct_0(all_76_2) = all_444_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (228) with fresh symbols all_446_0, all_446_1,
% 45.07/6.73 | | | | | all_446_2 gives:
% 45.07/6.73 | | | | | (264) k8_group_4(all_76_16, all_76_6, all_76_6) = all_446_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_377_0, all_446_2) = all_446_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_76_6) = all_446_2 & $i(all_446_0) &
% 45.07/6.73 | | | | | $i(all_446_1) & $i(all_446_2) & ( ~ m1_subset_1(all_446_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_446_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_446_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (264) implies:
% 45.07/6.73 | | | | | (265) u1_struct_0(all_76_6) = all_446_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (235) with fresh symbols all_452_0, all_452_1,
% 45.07/6.73 | | | | | all_452_2 gives:
% 45.07/6.73 | | | | | (266) k8_group_4(all_76_16, all_86_0, all_96_0) = all_452_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_380_0, all_452_2) = all_452_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_96_0) = all_452_2 & $i(all_452_0) &
% 45.07/6.73 | | | | | $i(all_452_1) & $i(all_452_2) & ( ~ m1_subset_1(all_452_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_452_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_452_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (266) implies:
% 45.07/6.73 | | | | | (267) u1_struct_0(all_96_0) = all_452_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (234) with fresh symbols all_460_0, all_460_1,
% 45.07/6.73 | | | | | all_460_2 gives:
% 45.07/6.73 | | | | | (268) k8_group_4(all_76_16, all_86_0, all_76_2) = all_460_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_380_0, all_460_2) = all_460_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_76_2) = all_460_2 & $i(all_460_0) &
% 45.07/6.73 | | | | | $i(all_460_1) & $i(all_460_2) & ( ~ m1_subset_1(all_460_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_460_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_460_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (268) implies:
% 45.07/6.73 | | | | | (269) u1_struct_0(all_76_2) = all_460_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (233) with fresh symbols all_462_0, all_462_1,
% 45.07/6.73 | | | | | all_462_2 gives:
% 45.07/6.73 | | | | | (270) k8_group_4(all_76_16, all_86_0, all_76_6) = all_462_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_380_0, all_462_2) = all_462_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_76_6) = all_462_2 & $i(all_462_0) &
% 45.07/6.73 | | | | | $i(all_462_1) & $i(all_462_2) & ( ~ m1_subset_1(all_462_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_462_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_462_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (270) implies:
% 45.07/6.73 | | | | | (271) u1_struct_0(all_76_6) = all_462_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (241) with fresh symbols all_468_0, all_468_1,
% 45.07/6.73 | | | | | all_468_2 gives:
% 45.07/6.73 | | | | | (272) k8_group_4(all_76_16, all_76_2, all_96_0) = all_468_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_383_0, all_468_2) = all_468_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_96_0) = all_468_2 & $i(all_468_0) &
% 45.07/6.73 | | | | | $i(all_468_1) & $i(all_468_2) & ( ~ m1_subset_1(all_468_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_468_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_468_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (272) implies:
% 45.07/6.73 | | | | | (273) u1_struct_0(all_96_0) = all_468_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (240) with fresh symbols all_474_0, all_474_1,
% 45.07/6.73 | | | | | all_474_2 gives:
% 45.07/6.73 | | | | | (274) k8_group_4(all_76_16, all_76_2, all_76_2) = all_474_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_383_0, all_474_2) = all_474_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_76_2) = all_474_2 & $i(all_474_0) &
% 45.07/6.73 | | | | | $i(all_474_1) & $i(all_474_2) & ( ~ m1_subset_1(all_474_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_474_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_474_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (274) implies:
% 45.07/6.73 | | | | | (275) u1_struct_0(all_76_2) = all_474_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | DELTA: instantiating (239) with fresh symbols all_480_0, all_480_1,
% 45.07/6.73 | | | | | all_480_2 gives:
% 45.07/6.73 | | | | | (276) k8_group_4(all_76_16, all_76_2, all_76_6) = all_480_0 &
% 45.07/6.73 | | | | | k2_xboole_0(all_383_0, all_480_2) = all_480_1 &
% 45.07/6.73 | | | | | u1_struct_0(all_76_6) = all_480_2 & $i(all_480_0) &
% 45.07/6.73 | | | | | $i(all_480_1) & $i(all_480_2) & ( ~ m1_subset_1(all_480_1,
% 45.07/6.73 | | | | | all_119_0) | ? [v0: $i] : (k5_group_4(all_76_16,
% 45.07/6.73 | | | | | all_480_1) = v0 & $i(v0) & r1_group_2(all_76_16,
% 45.07/6.73 | | | | | all_480_0, v0)))
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | ALPHA: (276) implies:
% 45.07/6.73 | | | | | (277) u1_struct_0(all_76_6) = all_480_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (273) imply:
% 45.07/6.73 | | | | | (278) u1_struct_0(all_76_6) = all_468_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (267) imply:
% 45.07/6.73 | | | | | (279) u1_struct_0(all_76_6) = all_452_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (261) imply:
% 45.07/6.73 | | | | | (280) u1_struct_0(all_76_6) = all_436_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (255) imply:
% 45.07/6.73 | | | | | (281) u1_struct_0(all_76_6) = all_420_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (249) imply:
% 45.07/6.73 | | | | | (282) u1_struct_0(all_76_6) = all_404_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (243) imply:
% 45.07/6.73 | | | | | (283) u1_struct_0(all_76_6) = all_388_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (215) imply:
% 45.07/6.73 | | | | | (284) u1_struct_0(all_76_6) = all_371_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (208) imply:
% 45.07/6.73 | | | | | (285) u1_struct_0(all_76_6) = all_363_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (196), (202) imply:
% 45.07/6.73 | | | | | (286) u1_struct_0(all_76_6) = all_349_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (275) imply:
% 45.07/6.73 | | | | | (287) u1_struct_0(all_76_6) = all_474_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (269) imply:
% 45.07/6.73 | | | | | (288) u1_struct_0(all_76_6) = all_460_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (263) imply:
% 45.07/6.73 | | | | | (289) u1_struct_0(all_76_6) = all_444_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (257) imply:
% 45.07/6.73 | | | | | (290) u1_struct_0(all_76_6) = all_428_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (251) imply:
% 45.07/6.73 | | | | | (291) u1_struct_0(all_76_6) = all_412_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (245) imply:
% 45.07/6.73 | | | | | (292) u1_struct_0(all_76_6) = all_394_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (237) imply:
% 45.07/6.73 | | | | | (293) u1_struct_0(all_76_6) = all_383_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (204) imply:
% 45.07/6.73 | | | | | (294) u1_struct_0(all_76_6) = all_353_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (194), (200) imply:
% 45.07/6.73 | | | | | (295) u1_struct_0(all_76_6) = all_347_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | REDUCE: (33), (194) imply:
% 45.07/6.73 | | | | | (296) u1_struct_0(all_76_6) = all_76_1
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_76_1, all_353_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (294), (296) gives:
% 45.07/6.73 | | | | | (297) all_353_2 = all_76_1
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_353_2, all_361_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (206), (294) gives:
% 45.07/6.73 | | | | | (298) all_361_2 = all_353_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_353_2, all_371_0, all_76_6,
% 45.07/6.73 | | | | | simplifying with (284), (294) gives:
% 45.07/6.73 | | | | | (299) all_371_0 = all_353_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_361_2, all_383_0, all_76_6,
% 45.07/6.73 | | | | | simplifying with (206), (293) gives:
% 45.07/6.73 | | | | | (300) all_383_0 = all_361_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_383_0, all_394_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (292), (293) gives:
% 45.07/6.73 | | | | | (301) all_394_2 = all_383_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_371_0, all_396_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (247), (284) gives:
% 45.07/6.73 | | | | | (302) all_396_2 = all_371_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_394_2, all_404_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (282), (292) gives:
% 45.07/6.73 | | | | | (303) all_404_2 = all_394_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_404_2, all_412_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (282), (291) gives:
% 45.07/6.73 | | | | | (304) all_412_2 = all_404_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_383_0, all_414_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (253), (293) gives:
% 45.07/6.73 | | | | | (305) all_414_2 = all_383_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_377_0, all_414_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (226), (253) gives:
% 45.07/6.73 | | | | | (306) all_414_2 = all_377_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_353_2, all_420_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (281), (294) gives:
% 45.07/6.73 | | | | | (307) all_420_2 = all_353_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_345_2, all_420_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (198), (281) gives:
% 45.07/6.73 | | | | | (308) all_420_2 = all_345_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_388_2, all_428_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (283), (290) gives:
% 45.07/6.73 | | | | | (309) all_428_2 = all_388_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_383_0, all_428_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (290), (293) gives:
% 45.07/6.73 | | | | | (310) all_428_2 = all_383_0
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_353_2, all_436_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (280), (294) gives:
% 45.07/6.73 | | | | | (311) all_436_2 = all_353_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_412_2, all_444_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (289), (291) gives:
% 45.07/6.73 | | | | | (312) all_444_2 = all_412_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_444_2, all_446_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (265), (289) gives:
% 45.07/6.73 | | | | | (313) all_446_2 = all_444_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_452_2, all_460_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (279), (288) gives:
% 45.07/6.73 | | | | | (314) all_460_2 = all_452_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_428_2, all_460_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (288), (290) gives:
% 45.07/6.73 | | | | | (315) all_460_2 = all_428_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_347_2, all_460_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (288), (295) gives:
% 45.07/6.73 | | | | | (316) all_460_2 = all_347_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_430_2, all_462_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (259), (271) gives:
% 45.07/6.73 | | | | | (317) all_462_2 = all_430_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_396_2, all_462_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (247), (271) gives:
% 45.07/6.73 | | | | | (318) all_462_2 = all_396_2
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_76_5, all_468_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (32), (278) gives:
% 45.07/6.73 | | | | | (319) all_468_2 = all_76_5
% 45.07/6.73 | | | | |
% 45.07/6.73 | | | | | GROUND_INST: instantiating (9) with all_462_2, all_468_2, all_76_6,
% 45.07/6.73 | | | | | simplifying with (271), (278) gives:
% 45.07/6.73 | | | | | (320) all_468_2 = all_462_2
% 45.07/6.73 | | | | |
% 45.07/6.74 | | | | | GROUND_INST: instantiating (9) with all_446_2, all_474_2, all_76_6,
% 45.07/6.74 | | | | | simplifying with (265), (287) gives:
% 45.07/6.74 | | | | | (321) all_474_2 = all_446_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | GROUND_INST: instantiating (9) with all_363_2, all_474_2, all_76_6,
% 45.07/6.74 | | | | | simplifying with (285), (287) gives:
% 45.07/6.74 | | | | | (322) all_474_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | GROUND_INST: instantiating (9) with all_436_2, all_480_2, all_76_6,
% 45.07/6.74 | | | | | simplifying with (277), (280) gives:
% 45.07/6.74 | | | | | (323) all_480_2 = all_436_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | GROUND_INST: instantiating (9) with all_349_2, all_480_2, all_76_6,
% 45.07/6.74 | | | | | simplifying with (277), (286) gives:
% 45.07/6.74 | | | | | (324) all_480_2 = all_349_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (323), (324) imply:
% 45.07/6.74 | | | | | (325) all_436_2 = all_349_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (325) implies:
% 45.07/6.74 | | | | | (326) all_436_2 = all_349_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (321), (322) imply:
% 45.07/6.74 | | | | | (327) all_446_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (327) implies:
% 45.07/6.74 | | | | | (328) all_446_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (319), (320) imply:
% 45.07/6.74 | | | | | (329) all_462_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (329) implies:
% 45.07/6.74 | | | | | (330) all_462_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (317), (330) imply:
% 45.07/6.74 | | | | | (331) all_430_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (317), (318) imply:
% 45.07/6.74 | | | | | (332) all_430_2 = all_396_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (314), (316) imply:
% 45.07/6.74 | | | | | (333) all_452_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (314), (315) imply:
% 45.07/6.74 | | | | | (334) all_452_2 = all_428_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (333), (334) imply:
% 45.07/6.74 | | | | | (335) all_428_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (335) implies:
% 45.07/6.74 | | | | | (336) all_428_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (313), (328) imply:
% 45.07/6.74 | | | | | (337) all_444_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (337) implies:
% 45.07/6.74 | | | | | (338) all_444_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (312), (338) imply:
% 45.07/6.74 | | | | | (339) all_412_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (339) implies:
% 45.07/6.74 | | | | | (340) all_412_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (311), (326) imply:
% 45.07/6.74 | | | | | (341) all_353_2 = all_349_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (341) implies:
% 45.07/6.74 | | | | | (342) all_353_2 = all_349_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (331), (332) imply:
% 45.07/6.74 | | | | | (343) all_396_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (343) implies:
% 45.07/6.74 | | | | | (344) all_396_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (309), (336) imply:
% 45.07/6.74 | | | | | (345) all_388_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (309), (310) imply:
% 45.07/6.74 | | | | | (346) all_388_2 = all_383_0
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (307), (308) imply:
% 45.07/6.74 | | | | | (347) all_353_2 = all_345_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (347) implies:
% 45.07/6.74 | | | | | (348) all_353_2 = all_345_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (305), (306) imply:
% 45.07/6.74 | | | | | (349) all_383_0 = all_377_0
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (349) implies:
% 45.07/6.74 | | | | | (350) all_383_0 = all_377_0
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (304), (340) imply:
% 45.07/6.74 | | | | | (351) all_404_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (351) implies:
% 45.07/6.74 | | | | | (352) all_404_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (303), (352) imply:
% 45.07/6.74 | | | | | (353) all_394_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (353) implies:
% 45.07/6.74 | | | | | (354) all_394_2 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (302), (344) imply:
% 45.07/6.74 | | | | | (355) all_371_0 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (355) implies:
% 45.07/6.74 | | | | | (356) all_371_0 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (301), (354) imply:
% 45.07/6.74 | | | | | (357) all_383_0 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (357) implies:
% 45.07/6.74 | | | | | (358) all_383_0 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (345), (346) imply:
% 45.07/6.74 | | | | | (359) all_383_0 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (359) implies:
% 45.07/6.74 | | | | | (360) all_383_0 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (300), (350) imply:
% 45.07/6.74 | | | | | (361) all_377_0 = all_361_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (350), (358) imply:
% 45.07/6.74 | | | | | (362) all_377_0 = all_363_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (350), (360) imply:
% 45.07/6.74 | | | | | (363) all_377_0 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (361), (362) imply:
% 45.07/6.74 | | | | | (364) all_363_2 = all_361_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (362), (363) imply:
% 45.07/6.74 | | | | | (365) all_363_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (299), (356) imply:
% 45.07/6.74 | | | | | (366) all_353_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (366) implies:
% 45.07/6.74 | | | | | (367) all_353_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (364), (365) imply:
% 45.07/6.74 | | | | | (368) all_361_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (368) implies:
% 45.07/6.74 | | | | | (369) all_361_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (298), (369) imply:
% 45.07/6.74 | | | | | (370) all_353_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (370) implies:
% 45.07/6.74 | | | | | (371) all_353_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (297), (342) imply:
% 45.07/6.74 | | | | | (372) all_349_2 = all_76_1
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (342), (348) imply:
% 45.07/6.74 | | | | | (373) all_349_2 = all_345_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (342), (367) imply:
% 45.07/6.74 | | | | | (374) all_349_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (342), (371) imply:
% 45.07/6.74 | | | | | (375) all_349_2 = all_347_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (372), (375) imply:
% 45.07/6.74 | | | | | (376) all_347_2 = all_76_1
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (374), (375) imply:
% 45.07/6.74 | | | | | (377) all_347_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (373), (375) imply:
% 45.07/6.74 | | | | | (378) all_347_2 = all_345_2
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (376), (378) imply:
% 45.07/6.74 | | | | | (379) all_345_2 = all_76_1
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (377), (378) imply:
% 45.07/6.74 | | | | | (380) all_345_2 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | COMBINE_EQS: (379), (380) imply:
% 45.07/6.74 | | | | | (381) all_76_1 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | SIMP: (381) implies:
% 45.07/6.74 | | | | | (382) all_76_1 = all_76_5
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | REDUCE: (37), (382) imply:
% 45.07/6.74 | | | | | (383) k2_funct_2(all_76_15, all_76_12, all_76_4, all_76_5) =
% 45.07/6.74 | | | | | all_76_0
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | GROUND_INST: instantiating (14) with all_76_3, all_76_0, all_76_5,
% 45.07/6.74 | | | | | all_76_4, all_76_12, all_76_15, simplifying with (36),
% 45.07/6.74 | | | | | (383) gives:
% 45.07/6.74 | | | | | (384) all_76_0 = all_76_3
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | REDUCE: (16), (384) imply:
% 45.07/6.74 | | | | | (385) $false
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | | CLOSE: (385) is inconsistent.
% 45.07/6.74 | | | | |
% 45.07/6.74 | | | | End of split
% 45.07/6.74 | | | |
% 45.07/6.74 | | | End of split
% 45.07/6.74 | | |
% 45.07/6.74 | | Case 2:
% 45.07/6.74 | | |
% 45.07/6.74 | | | (386) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) = v1 &
% 45.07/6.74 | | | u1_struct_0(all_76_16) = v0 & $i(v1) & $i(v0) & ~
% 45.07/6.74 | | | m1_subset_1(all_76_7, v1))
% 45.07/6.74 | | |
% 45.07/6.74 | | | DELTA: instantiating (386) with fresh symbols all_155_0, all_155_1 gives:
% 45.07/6.74 | | | (387) k1_zfmisc_1(all_155_1) = all_155_0 & u1_struct_0(all_76_16) =
% 45.07/6.74 | | | all_155_1 & $i(all_155_0) & $i(all_155_1) & ~
% 45.07/6.74 | | | m1_subset_1(all_76_7, all_155_0)
% 45.07/6.74 | | |
% 45.07/6.74 | | | ALPHA: (387) implies:
% 45.07/6.74 | | | (388) ~ m1_subset_1(all_76_7, all_155_0)
% 45.07/6.74 | | | (389) u1_struct_0(all_76_16) = all_155_1
% 45.07/6.74 | | | (390) k1_zfmisc_1(all_155_1) = all_155_0
% 45.07/6.74 | | |
% 45.07/6.74 | | | GROUND_INST: instantiating (9) with all_76_15, all_155_1, all_76_16,
% 45.07/6.74 | | | simplifying with (29), (389) gives:
% 45.07/6.74 | | | (391) all_155_1 = all_76_15
% 45.07/6.74 | | |
% 45.07/6.74 | | | REDUCE: (390), (391) imply:
% 45.07/6.74 | | | (392) k1_zfmisc_1(all_76_15) = all_155_0
% 45.07/6.74 | | |
% 45.07/6.74 | | | GROUND_INST: instantiating (10) with all_76_14, all_155_0, all_76_15,
% 45.07/6.74 | | | simplifying with (35), (392) gives:
% 45.07/6.74 | | | (393) all_155_0 = all_76_14
% 45.07/6.74 | | |
% 45.07/6.74 | | | REDUCE: (388), (393) imply:
% 45.07/6.74 | | | (394) ~ m1_subset_1(all_76_7, all_76_14)
% 45.07/6.74 | | |
% 45.07/6.74 | | | PRED_UNIFY: (23), (394) imply:
% 45.07/6.74 | | | (395) $false
% 45.07/6.74 | | |
% 45.07/6.74 | | | CLOSE: (395) is inconsistent.
% 45.07/6.74 | | |
% 45.07/6.74 | | End of split
% 45.07/6.74 | |
% 45.07/6.74 | Case 2:
% 45.07/6.74 | |
% 45.07/6.74 | | (396) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) = v1 &
% 45.07/6.74 | | u1_struct_0(all_76_16) = v0 & $i(v1) & $i(v0) & ~
% 45.07/6.74 | | m1_subset_1(all_76_7, v1))
% 45.07/6.75 | |
% 45.07/6.75 | | DELTA: instantiating (396) with fresh symbols all_151_0, all_151_1 gives:
% 45.07/6.75 | | (397) k1_zfmisc_1(all_151_1) = all_151_0 & u1_struct_0(all_76_16) =
% 45.07/6.75 | | all_151_1 & $i(all_151_0) & $i(all_151_1) & ~
% 45.07/6.75 | | m1_subset_1(all_76_7, all_151_0)
% 45.07/6.75 | |
% 45.07/6.75 | | ALPHA: (397) implies:
% 45.07/6.75 | | (398) ~ m1_subset_1(all_76_7, all_151_0)
% 45.07/6.75 | | (399) u1_struct_0(all_76_16) = all_151_1
% 45.07/6.75 | | (400) k1_zfmisc_1(all_151_1) = all_151_0
% 45.07/6.75 | |
% 45.07/6.75 | | GROUND_INST: instantiating (9) with all_76_15, all_151_1, all_76_16,
% 45.07/6.75 | | simplifying with (29), (399) gives:
% 45.07/6.75 | | (401) all_151_1 = all_76_15
% 45.07/6.75 | |
% 45.07/6.75 | | REDUCE: (400), (401) imply:
% 45.07/6.75 | | (402) k1_zfmisc_1(all_76_15) = all_151_0
% 45.07/6.75 | |
% 45.07/6.75 | | GROUND_INST: instantiating (10) with all_76_14, all_151_0, all_76_15,
% 45.07/6.75 | | simplifying with (35), (402) gives:
% 45.07/6.75 | | (403) all_151_0 = all_76_14
% 45.07/6.75 | |
% 45.07/6.75 | | REDUCE: (398), (403) imply:
% 45.07/6.75 | | (404) ~ m1_subset_1(all_76_7, all_76_14)
% 45.07/6.75 | |
% 45.07/6.75 | | PRED_UNIFY: (23), (404) imply:
% 45.07/6.75 | | (405) $false
% 45.07/6.75 | |
% 45.07/6.75 | | CLOSE: (405) is inconsistent.
% 45.07/6.75 | |
% 45.07/6.75 | End of split
% 45.07/6.75 |
% 45.07/6.75 End of proof
% 45.07/6.75 % SZS output end Proof for theBenchmark
% 45.07/6.75
% 45.07/6.75 6146ms
%------------------------------------------------------------------------------