TSTP Solution File: SET749+4 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET749+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n027.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 15:26:16 EDT 2023
% Result : Theorem 12.35s 2.42s
% Output : Proof 21.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET749+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.35 % Computer : n027.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 09:05:49 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.66 ________ _____
% 0.21/0.66 ___ __ \_________(_)________________________________
% 0.21/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.66
% 0.21/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.66 (2023-06-19)
% 0.21/0.66
% 0.21/0.66 (c) Philipp Rümmer, 2009-2023
% 0.21/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.66 Amanda Stjerna.
% 0.21/0.66 Free software under BSD-3-Clause.
% 0.21/0.66
% 0.21/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.66
% 0.21/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.67 Running up to 7 provers in parallel.
% 0.21/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.68 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.68 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.68 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.68 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.14/1.27 Prover 4: Preprocessing ...
% 4.14/1.27 Prover 1: Preprocessing ...
% 4.26/1.31 Prover 2: Preprocessing ...
% 4.26/1.31 Prover 0: Preprocessing ...
% 4.26/1.31 Prover 6: Preprocessing ...
% 4.26/1.31 Prover 5: Preprocessing ...
% 4.26/1.31 Prover 3: Preprocessing ...
% 9.25/2.04 Prover 2: Proving ...
% 9.25/2.04 Prover 5: Proving ...
% 9.25/2.10 Prover 6: Proving ...
% 10.14/2.13 Prover 1: Constructing countermodel ...
% 10.47/2.15 Prover 3: Constructing countermodel ...
% 12.35/2.42 Prover 3: proved (1742ms)
% 12.35/2.42
% 12.35/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.35/2.42
% 12.35/2.42 Prover 6: stopped
% 12.35/2.43 Prover 2: stopped
% 12.35/2.43 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.35/2.43 Prover 5: stopped
% 12.35/2.43 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.35/2.43 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.78/2.44 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.89/2.46 Prover 4: Constructing countermodel ...
% 12.89/2.49 Prover 10: Preprocessing ...
% 12.89/2.50 Prover 0: Proving ...
% 12.89/2.50 Prover 0: stopped
% 12.89/2.50 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.89/2.51 Prover 7: Preprocessing ...
% 13.32/2.51 Prover 11: Preprocessing ...
% 13.32/2.55 Prover 8: Preprocessing ...
% 13.32/2.55 Prover 13: Preprocessing ...
% 13.68/2.62 Prover 7: Warning: ignoring some quantifiers
% 13.68/2.63 Prover 10: Warning: ignoring some quantifiers
% 13.68/2.65 Prover 7: Constructing countermodel ...
% 13.68/2.67 Prover 10: Constructing countermodel ...
% 13.68/2.72 Prover 13: Warning: ignoring some quantifiers
% 13.68/2.74 Prover 13: Constructing countermodel ...
% 15.26/2.79 Prover 8: Warning: ignoring some quantifiers
% 15.26/2.81 Prover 8: Constructing countermodel ...
% 15.65/2.84 Prover 10: gave up
% 15.65/2.86 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 16.08/2.92 Prover 16: Preprocessing ...
% 17.33/3.05 Prover 16: Warning: ignoring some quantifiers
% 17.33/3.07 Prover 16: Constructing countermodel ...
% 18.38/3.19 Prover 11: Constructing countermodel ...
% 20.31/3.45 Prover 1: Found proof (size 313)
% 20.31/3.45 Prover 1: proved (2776ms)
% 20.31/3.45 Prover 4: stopped
% 20.31/3.45 Prover 13: stopped
% 20.31/3.45 Prover 8: stopped
% 20.31/3.45 Prover 11: stopped
% 20.31/3.46 Prover 16: stopped
% 20.31/3.46 Prover 7: stopped
% 20.31/3.46
% 20.31/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.31/3.46
% 20.82/3.56 % SZS output start Proof for theBenchmark
% 20.82/3.56 Assumptions after simplification:
% 20.82/3.56 ---------------------------------
% 20.82/3.56
% 20.82/3.56 (compose_function)
% 20.93/3.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 20.93/3.59 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: any] : ( ~ (compose_function(v0,
% 20.93/3.59 v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ $i(v6) | ~
% 20.93/3.59 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9:
% 20.93/3.59 any] : ? [v10: any] : (member(v6, v4) = v10 & member(v5, v2) = v9 & ( ~
% 20.93/3.59 (v10 = 0) | ~ (v9 = 0))) | (( ~ (v8 = 0) | ? [v9: $i] : (apply(v1, v5,
% 20.93/3.59 v9) = 0 & apply(v0, v9, v6) = 0 & member(v9, v3) = 0 & $i(v9))) &
% 20.93/3.59 (v8 = 0 | ! [v9: $i] : ( ~ (apply(v0, v9, v6) = 0) | ~ $i(v9) | ? [v10:
% 20.93/3.59 any] : ? [v11: any] : (apply(v1, v5, v9) = v11 & member(v9, v3) =
% 20.93/3.59 v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))))
% 20.93/3.59
% 20.93/3.59 (decreasing_function)
% 20.93/3.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 20.93/3.60 int] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~
% 20.93/3.60 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ?
% 20.93/3.60 [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 = 0) & apply(v4, v9, v7) =
% 20.93/3.60 v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) =
% 20.93/3.60 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 &
% 20.93/3.60 member(v6, v1) = 0 & $i(v9) & $i(v8) & $i(v7) & $i(v6))) & ! [v0: $i] :
% 20.93/3.60 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (decreasing(v0, v1,
% 20.93/3.60 v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 20.93/3.60 $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 20.93/3.60 (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ $i(v8) | ~
% 20.93/3.60 $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v9: any] : ? [v10: any] : ? [v11:
% 20.93/3.60 any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : (apply(v4, v8,
% 20.93/3.60 v6) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 &
% 20.93/3.60 member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~
% 20.93/3.60 (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) |
% 20.93/3.60 v14 = 0))))
% 20.93/3.60
% 20.93/3.60 (increasing_function)
% 20.93/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 20.93/3.61 int] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~
% 20.93/3.61 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ?
% 20.93/3.61 [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 = 0) & apply(v4, v7, v9) =
% 20.93/3.61 v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) =
% 20.93/3.61 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 &
% 20.93/3.61 member(v6, v1) = 0 & $i(v9) & $i(v8) & $i(v7) & $i(v6))) & ! [v0: $i] :
% 20.93/3.61 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (increasing(v0, v1,
% 20.93/3.61 v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 20.93/3.61 $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 20.93/3.61 (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ $i(v8) | ~
% 20.93/3.61 $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v9: any] : ? [v10: any] : ? [v11:
% 20.93/3.61 any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : (apply(v4, v6,
% 20.93/3.61 v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 &
% 20.93/3.61 member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~
% 20.93/3.61 (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) |
% 20.93/3.61 v14 = 0))))
% 20.93/3.61
% 20.93/3.61 (maps)
% 20.93/3.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 20.93/3.61 (maps(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 20.93/3.61 ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0,
% 20.93/3.61 v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) =
% 20.93/3.61 0 & $i(v6) & $i(v5) & $i(v4)) | ? [v4: $i] : (member(v4, v1) = 0 & $i(v4)
% 20.93/3.61 & ! [v5: $i] : ( ~ (apply(v0, v4, v5) = 0) | ~ $i(v5) | ? [v6: int] : (
% 20.93/3.61 ~ (v6 = 0) & member(v5, v2) = v6)))) & ! [v0: $i] : ! [v1: $i] : !
% 20.93/3.61 [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | (
% 20.93/3.61 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5)
% 20.93/3.61 = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3)
% 20.93/3.61 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 &
% 20.93/3.61 member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0)
% 20.93/3.61 | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) = 0) | ~
% 20.93/3.61 $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0 &
% 20.93/3.61 $i(v4)))))
% 20.93/3.61
% 20.93/3.61 (thII40)
% 20.93/3.62 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 20.93/3.62 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0)
% 20.93/3.62 & decreasing(v1, v3, v6, v4, v7) = 0 & decreasing(v0, v2, v5, v3, v6) = 0 &
% 20.93/3.62 increasing(v8, v2, v5, v4, v7) = v9 & compose_function(v1, v0, v2, v3, v4) =
% 20.93/3.62 v8 & maps(v1, v3, v4) = 0 & maps(v0, v2, v3) = 0 & $i(v8) & $i(v7) & $i(v6)
% 20.93/3.62 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 20.93/3.62
% 20.93/3.62 (function-axioms)
% 21.15/3.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 21.15/3.62 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 |
% 21.15/3.62 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~
% 21.15/3.62 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 21.15/3.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 21.15/3.62 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5,
% 21.15/3.62 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 21.15/3.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 21.15/3.62 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5,
% 21.15/3.62 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 21.15/3.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 21.15/3.62 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5,
% 21.15/3.62 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 21.15/3.62 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 21.15/3.62 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~
% 21.15/3.62 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 21.15/3.62 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 21.15/3.62 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~
% 21.15/3.62 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 21.15/3.62 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 21.15/3.62 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5,
% 21.15/3.62 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 21.15/3.62 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~
% 21.15/3.62 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 21.15/3.62 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~
% 21.15/3.62 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 21.15/3.62 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) |
% 21.15/3.62 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 21.15/3.62 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 |
% 21.15/3.62 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & !
% 21.15/3.62 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 21.15/3.62 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~
% 21.15/3.62 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 21.15/3.62 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 21.15/3.62 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0:
% 21.15/3.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 21.15/3.62 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) =
% 21.15/3.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 21.15/3.62 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) |
% 21.15/3.62 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 21.15/3.62 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~
% 21.15/3.62 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 21.15/3.62 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) &
% 21.15/3.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 21.15/3.62 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 21.15/3.62 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.15/3.62 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0:
% 21.15/3.63 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.15/3.63 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : !
% 21.15/3.63 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~
% 21.15/3.63 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 21.15/3.63 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) =
% 21.15/3.63 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 21.15/3.63 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~
% 21.15/3.63 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 21.15/3.63 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3,
% 21.15/3.63 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 21.15/3.63 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 21.15/3.63 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 21.15/3.63 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) =
% 21.15/3.63 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) =
% 21.15/3.63 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 21.15/3.63 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : !
% 21.15/3.63 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~
% 21.15/3.63 (power_set(v2) = v0))
% 21.15/3.63
% 21.15/3.63 Further assumptions not needed in the proof:
% 21.15/3.63 --------------------------------------------
% 21.15/3.63 compose_predicate, difference, empty_set, equal_maps, equal_set, identity,
% 21.15/3.63 image2, image3, injective, intersection, inverse_function, inverse_image2,
% 21.15/3.63 inverse_image3, inverse_predicate, isomorphism, one_to_one, power_set, product,
% 21.15/3.63 singleton, subset, sum, surjective, union, unordered_pair
% 21.15/3.63
% 21.15/3.63 Those formulas are unsatisfiable:
% 21.15/3.63 ---------------------------------
% 21.15/3.63
% 21.15/3.63 Begin of proof
% 21.15/3.63 |
% 21.15/3.63 | ALPHA: (maps) implies:
% 21.15/3.63 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) |
% 21.15/3.63 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! [v4: $i] : !
% 21.15/3.63 | [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0,
% 21.15/3.63 | v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v6:
% 21.15/3.63 | any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 &
% 21.15/3.63 | member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~
% 21.15/3.63 | (v7 = 0) | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1)
% 21.15/3.63 | = 0) | ~ $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 &
% 21.15/3.63 | member(v4, v2) = 0 & $i(v4)))))
% 21.15/3.63 |
% 21.15/3.63 | ALPHA: (increasing_function) implies:
% 21.15/3.63 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 21.15/3.63 | ! [v5: int] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ~
% 21.15/3.63 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i]
% 21.15/3.63 | : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10
% 21.15/3.63 | = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 &
% 21.15/3.63 | apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0
% 21.15/3.63 | & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 &
% 21.15/3.63 | $i(v9) & $i(v8) & $i(v7) & $i(v6)))
% 21.15/3.63 |
% 21.15/3.63 | ALPHA: (decreasing_function) implies:
% 21.15/3.63 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 21.15/3.63 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~
% 21.15/3.63 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7:
% 21.15/3.63 | $i] : ! [v8: $i] : ( ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5,
% 21.15/3.63 | v6) = 0) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ?
% 21.15/3.63 | [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ?
% 21.15/3.63 | [v13: any] : ? [v14: any] : (apply(v4, v8, v6) = v14 & apply(v2,
% 21.15/3.63 | v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 &
% 21.15/3.63 | member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~
% 21.15/3.63 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 =
% 21.15/3.63 | 0))))
% 21.15/3.63 |
% 21.15/3.63 | ALPHA: (function-axioms) implies:
% 21.15/3.63 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 21.15/3.63 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2)
% 21.15/3.63 | = v0))
% 21.15/3.63 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 21.15/3.63 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 21.15/3.63 | (apply(v4, v3, v2) = v0))
% 21.15/3.63 |
% 21.15/3.64 | DELTA: instantiating (thII40) with fresh symbols all_32_0, all_32_1, all_32_2,
% 21.15/3.64 | all_32_3, all_32_4, all_32_5, all_32_6, all_32_7, all_32_8, all_32_9
% 21.15/3.64 | gives:
% 21.15/3.64 | (6) ~ (all_32_0 = 0) & decreasing(all_32_8, all_32_6, all_32_3, all_32_5,
% 21.15/3.64 | all_32_2) = 0 & decreasing(all_32_9, all_32_7, all_32_4, all_32_6,
% 21.15/3.64 | all_32_3) = 0 & increasing(all_32_1, all_32_7, all_32_4, all_32_5,
% 21.15/3.64 | all_32_2) = all_32_0 & compose_function(all_32_8, all_32_9, all_32_7,
% 21.15/3.64 | all_32_6, all_32_5) = all_32_1 & maps(all_32_8, all_32_6, all_32_5) =
% 21.15/3.64 | 0 & maps(all_32_9, all_32_7, all_32_6) = 0 & $i(all_32_1) &
% 21.15/3.64 | $i(all_32_2) & $i(all_32_3) & $i(all_32_4) & $i(all_32_5) &
% 21.15/3.64 | $i(all_32_6) & $i(all_32_7) & $i(all_32_8) & $i(all_32_9)
% 21.15/3.64 |
% 21.15/3.64 | ALPHA: (6) implies:
% 21.15/3.64 | (7) ~ (all_32_0 = 0)
% 21.15/3.64 | (8) $i(all_32_9)
% 21.15/3.64 | (9) $i(all_32_8)
% 21.15/3.64 | (10) $i(all_32_7)
% 21.15/3.64 | (11) $i(all_32_6)
% 21.15/3.64 | (12) $i(all_32_5)
% 21.15/3.64 | (13) $i(all_32_4)
% 21.15/3.64 | (14) $i(all_32_3)
% 21.15/3.64 | (15) $i(all_32_2)
% 21.15/3.64 | (16) $i(all_32_1)
% 21.15/3.64 | (17) maps(all_32_9, all_32_7, all_32_6) = 0
% 21.15/3.64 | (18) compose_function(all_32_8, all_32_9, all_32_7, all_32_6, all_32_5) =
% 21.15/3.64 | all_32_1
% 21.15/3.64 | (19) increasing(all_32_1, all_32_7, all_32_4, all_32_5, all_32_2) =
% 21.15/3.64 | all_32_0
% 21.15/3.64 | (20) decreasing(all_32_9, all_32_7, all_32_4, all_32_6, all_32_3) = 0
% 21.15/3.64 | (21) decreasing(all_32_8, all_32_6, all_32_3, all_32_5, all_32_2) = 0
% 21.15/3.64 |
% 21.15/3.64 | GROUND_INST: instantiating (1) with all_32_9, all_32_7, all_32_6, simplifying
% 21.15/3.64 | with (8), (10), (11), (17) gives:
% 21.15/3.64 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 21.15/3.64 | (apply(all_32_9, v0, v2) = 0) | ~ (apply(all_32_9, v0, v1) = 0) |
% 21.15/3.64 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 21.15/3.64 | [v5: any] : (member(v2, all_32_6) = v5 & member(v1, all_32_6) = v4 &
% 21.15/3.64 | member(v0, all_32_7) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 21.15/3.64 | 0)))) & ! [v0: $i] : ( ~ (member(v0, all_32_7) = 0) | ~
% 21.15/3.64 | $i(v0) | ? [v1: $i] : (apply(all_32_9, v0, v1) = 0 & member(v1,
% 21.15/3.64 | all_32_6) = 0 & $i(v1)))
% 21.15/3.64 |
% 21.15/3.64 | ALPHA: (22) implies:
% 21.15/3.64 | (23) ! [v0: $i] : ( ~ (member(v0, all_32_7) = 0) | ~ $i(v0) | ? [v1: $i]
% 21.15/3.64 | : (apply(all_32_9, v0, v1) = 0 & member(v1, all_32_6) = 0 & $i(v1)))
% 21.15/3.64 |
% 21.15/3.64 | GROUND_INST: instantiating (2) with all_32_1, all_32_7, all_32_4, all_32_5,
% 21.15/3.64 | all_32_2, all_32_0, simplifying with (10), (12), (13), (15),
% 21.15/3.64 | (16), (19) gives:
% 21.26/3.64 | (24) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 21.26/3.64 | ? [v4: int] : ( ~ (v4 = 0) & apply(all_32_1, v2, v3) = 0 &
% 21.26/3.64 | apply(all_32_1, v0, v1) = 0 & apply(all_32_2, v1, v3) = v4 &
% 21.26/3.64 | apply(all_32_4, v0, v2) = 0 & member(v3, all_32_5) = 0 & member(v2,
% 21.26/3.64 | all_32_7) = 0 & member(v1, all_32_5) = 0 & member(v0, all_32_7) =
% 21.26/3.64 | 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 21.26/3.64 |
% 21.26/3.64 | GROUND_INST: instantiating (3) with all_32_9, all_32_7, all_32_4, all_32_6,
% 21.26/3.64 | all_32_3, simplifying with (8), (10), (11), (13), (14), (20)
% 21.26/3.64 | gives:
% 21.26/3.65 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 21.26/3.65 | (apply(all_32_9, v2, v3) = 0) | ~ (apply(all_32_9, v0, v1) = 0) |
% 21.26/3.65 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ?
% 21.26/3.65 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 21.26/3.65 | any] : (apply(all_32_3, v3, v1) = v9 & apply(all_32_4, v0, v2) =
% 21.26/3.65 | v8 & member(v3, all_32_6) = v7 & member(v2, all_32_7) = v6 &
% 21.26/3.65 | member(v1, all_32_6) = v5 & member(v0, all_32_7) = v4 & ( ~ (v8 =
% 21.26/3.65 | 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) |
% 21.26/3.65 | v9 = 0)))
% 21.26/3.65 |
% 21.26/3.65 | GROUND_INST: instantiating (3) with all_32_8, all_32_6, all_32_3, all_32_5,
% 21.26/3.65 | all_32_2, simplifying with (9), (11), (12), (14), (15), (21)
% 21.26/3.65 | gives:
% 21.26/3.65 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 21.26/3.65 | (apply(all_32_8, v2, v3) = 0) | ~ (apply(all_32_8, v0, v1) = 0) |
% 21.26/3.65 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ?
% 21.26/3.65 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 21.26/3.65 | any] : (apply(all_32_2, v3, v1) = v9 & apply(all_32_3, v0, v2) =
% 21.26/3.65 | v8 & member(v3, all_32_5) = v7 & member(v2, all_32_6) = v6 &
% 21.26/3.65 | member(v1, all_32_5) = v5 & member(v0, all_32_6) = v4 & ( ~ (v8 =
% 21.26/3.65 | 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) |
% 21.26/3.65 | v9 = 0)))
% 21.26/3.65 |
% 21.26/3.65 | BETA: splitting (24) gives:
% 21.26/3.65 |
% 21.26/3.65 | Case 1:
% 21.26/3.65 | |
% 21.26/3.65 | | (27) all_32_0 = 0
% 21.26/3.65 | |
% 21.26/3.65 | | REDUCE: (7), (27) imply:
% 21.26/3.65 | | (28) $false
% 21.26/3.65 | |
% 21.26/3.65 | | CLOSE: (28) is inconsistent.
% 21.26/3.65 | |
% 21.26/3.65 | Case 2:
% 21.26/3.65 | |
% 21.26/3.65 | | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int]
% 21.26/3.65 | | : ( ~ (v4 = 0) & apply(all_32_1, v2, v3) = 0 & apply(all_32_1, v0,
% 21.26/3.65 | | v1) = 0 & apply(all_32_2, v1, v3) = v4 & apply(all_32_4, v0, v2)
% 21.26/3.65 | | = 0 & member(v3, all_32_5) = 0 & member(v2, all_32_7) = 0 &
% 21.26/3.65 | | member(v1, all_32_5) = 0 & member(v0, all_32_7) = 0 & $i(v3) &
% 21.26/3.65 | | $i(v2) & $i(v1) & $i(v0))
% 21.26/3.65 | |
% 21.26/3.65 | | DELTA: instantiating (29) with fresh symbols all_46_0, all_46_1, all_46_2,
% 21.26/3.65 | | all_46_3, all_46_4 gives:
% 21.26/3.65 | | (30) ~ (all_46_0 = 0) & apply(all_32_1, all_46_2, all_46_1) = 0 &
% 21.26/3.65 | | apply(all_32_1, all_46_4, all_46_3) = 0 & apply(all_32_2, all_46_3,
% 21.26/3.65 | | all_46_1) = all_46_0 & apply(all_32_4, all_46_4, all_46_2) = 0 &
% 21.26/3.65 | | member(all_46_1, all_32_5) = 0 & member(all_46_2, all_32_7) = 0 &
% 21.26/3.65 | | member(all_46_3, all_32_5) = 0 & member(all_46_4, all_32_7) = 0 &
% 21.26/3.65 | | $i(all_46_1) & $i(all_46_2) & $i(all_46_3) & $i(all_46_4)
% 21.26/3.65 | |
% 21.26/3.65 | | ALPHA: (30) implies:
% 21.26/3.65 | | (31) ~ (all_46_0 = 0)
% 21.26/3.65 | | (32) $i(all_46_4)
% 21.26/3.65 | | (33) $i(all_46_3)
% 21.26/3.65 | | (34) $i(all_46_2)
% 21.26/3.65 | | (35) $i(all_46_1)
% 21.26/3.65 | | (36) member(all_46_4, all_32_7) = 0
% 21.26/3.65 | | (37) member(all_46_3, all_32_5) = 0
% 21.26/3.65 | | (38) member(all_46_2, all_32_7) = 0
% 21.26/3.65 | | (39) member(all_46_1, all_32_5) = 0
% 21.26/3.65 | | (40) apply(all_32_4, all_46_4, all_46_2) = 0
% 21.26/3.65 | | (41) apply(all_32_2, all_46_3, all_46_1) = all_46_0
% 21.26/3.65 | | (42) apply(all_32_1, all_46_4, all_46_3) = 0
% 21.26/3.65 | | (43) apply(all_32_1, all_46_2, all_46_1) = 0
% 21.26/3.65 | |
% 21.26/3.65 | | GROUND_INST: instantiating (23) with all_46_4, simplifying with (32), (36)
% 21.26/3.65 | | gives:
% 21.26/3.65 | | (44) ? [v0: $i] : (apply(all_32_9, all_46_4, v0) = 0 & member(v0,
% 21.26/3.65 | | all_32_6) = 0 & $i(v0))
% 21.26/3.65 | |
% 21.26/3.65 | | GROUND_INST: instantiating (23) with all_46_2, simplifying with (34), (38)
% 21.26/3.65 | | gives:
% 21.26/3.66 | | (45) ? [v0: $i] : (apply(all_32_9, all_46_2, v0) = 0 & member(v0,
% 21.26/3.66 | | all_32_6) = 0 & $i(v0))
% 21.26/3.66 | |
% 21.26/3.66 | | GROUND_INST: instantiating (compose_function) with all_32_8, all_32_9,
% 21.26/3.66 | | all_32_7, all_32_6, all_32_5, all_46_4, all_46_3, all_32_1, 0,
% 21.26/3.66 | | simplifying with (8), (9), (10), (11), (12), (18), (32), (33),
% 21.26/3.66 | | (42) gives:
% 21.26/3.66 | | (46) ? [v0: any] : ? [v1: any] : (member(all_46_3, all_32_5) = v1 &
% 21.26/3.66 | | member(all_46_4, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) |
% 21.26/3.66 | | ? [v0: $i] : (apply(all_32_8, v0, all_46_3) = 0 & apply(all_32_9,
% 21.26/3.66 | | all_46_4, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0))
% 21.26/3.66 | |
% 21.26/3.66 | | GROUND_INST: instantiating (compose_function) with all_32_8, all_32_9,
% 21.26/3.66 | | all_32_7, all_32_6, all_32_5, all_46_2, all_46_1, all_32_1, 0,
% 21.26/3.66 | | simplifying with (8), (9), (10), (11), (12), (18), (34), (35),
% 21.26/3.66 | | (43) gives:
% 21.26/3.66 | | (47) ? [v0: any] : ? [v1: any] : (member(all_46_1, all_32_5) = v1 &
% 21.26/3.66 | | member(all_46_2, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) |
% 21.26/3.66 | | ? [v0: $i] : (apply(all_32_8, v0, all_46_1) = 0 & apply(all_32_9,
% 21.26/3.66 | | all_46_2, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0))
% 21.26/3.66 | |
% 21.26/3.66 | | DELTA: instantiating (45) with fresh symbol all_53_0 gives:
% 21.26/3.66 | | (48) apply(all_32_9, all_46_2, all_53_0) = 0 & member(all_53_0, all_32_6)
% 21.26/3.66 | | = 0 & $i(all_53_0)
% 21.26/3.66 | |
% 21.26/3.66 | | ALPHA: (48) implies:
% 21.26/3.66 | | (49) $i(all_53_0)
% 21.26/3.66 | | (50) apply(all_32_9, all_46_2, all_53_0) = 0
% 21.26/3.66 | |
% 21.26/3.66 | | DELTA: instantiating (44) with fresh symbol all_55_0 gives:
% 21.26/3.66 | | (51) apply(all_32_9, all_46_4, all_55_0) = 0 & member(all_55_0, all_32_6)
% 21.26/3.66 | | = 0 & $i(all_55_0)
% 21.26/3.66 | |
% 21.26/3.66 | | ALPHA: (51) implies:
% 21.26/3.66 | | (52) $i(all_55_0)
% 21.26/3.66 | | (53) apply(all_32_9, all_46_4, all_55_0) = 0
% 21.26/3.66 | |
% 21.26/3.66 | | BETA: splitting (47) gives:
% 21.26/3.66 | |
% 21.26/3.66 | | Case 1:
% 21.26/3.66 | | |
% 21.26/3.66 | | | (54) ? [v0: any] : ? [v1: any] : (member(all_46_1, all_32_5) = v1 &
% 21.26/3.66 | | | member(all_46_2, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 21.26/3.66 | | |
% 21.26/3.66 | | | DELTA: instantiating (54) with fresh symbols all_60_0, all_60_1 gives:
% 21.26/3.66 | | | (55) member(all_46_1, all_32_5) = all_60_0 & member(all_46_2, all_32_7)
% 21.26/3.66 | | | = all_60_1 & ( ~ (all_60_0 = 0) | ~ (all_60_1 = 0))
% 21.26/3.66 | | |
% 21.26/3.66 | | | ALPHA: (55) implies:
% 21.26/3.66 | | | (56) member(all_46_2, all_32_7) = all_60_1
% 21.26/3.66 | | | (57) member(all_46_1, all_32_5) = all_60_0
% 21.26/3.66 | | | (58) ~ (all_60_0 = 0) | ~ (all_60_1 = 0)
% 21.26/3.66 | | |
% 21.26/3.66 | | | GROUND_INST: instantiating (4) with 0, all_60_1, all_32_7, all_46_2,
% 21.26/3.66 | | | simplifying with (38), (56) gives:
% 21.26/3.66 | | | (59) all_60_1 = 0
% 21.26/3.66 | | |
% 21.26/3.66 | | | GROUND_INST: instantiating (4) with 0, all_60_0, all_32_5, all_46_1,
% 21.26/3.66 | | | simplifying with (39), (57) gives:
% 21.26/3.66 | | | (60) all_60_0 = 0
% 21.26/3.66 | | |
% 21.26/3.66 | | | BETA: splitting (58) gives:
% 21.26/3.66 | | |
% 21.26/3.66 | | | Case 1:
% 21.26/3.66 | | | |
% 21.26/3.66 | | | | (61) ~ (all_60_0 = 0)
% 21.26/3.66 | | | |
% 21.26/3.66 | | | | REDUCE: (60), (61) imply:
% 21.26/3.66 | | | | (62) $false
% 21.26/3.66 | | | |
% 21.26/3.66 | | | | CLOSE: (62) is inconsistent.
% 21.26/3.66 | | | |
% 21.26/3.66 | | | Case 2:
% 21.26/3.66 | | | |
% 21.26/3.66 | | | | (63) ~ (all_60_1 = 0)
% 21.26/3.66 | | | |
% 21.26/3.66 | | | | REDUCE: (59), (63) imply:
% 21.26/3.66 | | | | (64) $false
% 21.26/3.66 | | | |
% 21.26/3.66 | | | | CLOSE: (64) is inconsistent.
% 21.26/3.66 | | | |
% 21.26/3.66 | | | End of split
% 21.26/3.66 | | |
% 21.26/3.66 | | Case 2:
% 21.26/3.66 | | |
% 21.26/3.66 | | | (65) ? [v0: $i] : (apply(all_32_8, v0, all_46_1) = 0 & apply(all_32_9,
% 21.26/3.66 | | | all_46_2, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0))
% 21.26/3.66 | | |
% 21.26/3.66 | | | DELTA: instantiating (65) with fresh symbol all_60_0 gives:
% 21.26/3.67 | | | (66) apply(all_32_8, all_60_0, all_46_1) = 0 & apply(all_32_9,
% 21.26/3.67 | | | all_46_2, all_60_0) = 0 & member(all_60_0, all_32_6) = 0 &
% 21.26/3.67 | | | $i(all_60_0)
% 21.26/3.67 | | |
% 21.26/3.67 | | | ALPHA: (66) implies:
% 21.26/3.67 | | | (67) $i(all_60_0)
% 21.26/3.67 | | | (68) member(all_60_0, all_32_6) = 0
% 21.26/3.67 | | | (69) apply(all_32_9, all_46_2, all_60_0) = 0
% 21.26/3.67 | | | (70) apply(all_32_8, all_60_0, all_46_1) = 0
% 21.26/3.67 | | |
% 21.26/3.67 | | | BETA: splitting (46) gives:
% 21.26/3.67 | | |
% 21.26/3.67 | | | Case 1:
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | (71) ? [v0: any] : ? [v1: any] : (member(all_46_3, all_32_5) = v1 &
% 21.26/3.67 | | | | member(all_46_4, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | DELTA: instantiating (71) with fresh symbols all_64_0, all_64_1 gives:
% 21.26/3.67 | | | | (72) member(all_46_3, all_32_5) = all_64_0 & member(all_46_4,
% 21.26/3.67 | | | | all_32_7) = all_64_1 & ( ~ (all_64_0 = 0) | ~ (all_64_1 = 0))
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | ALPHA: (72) implies:
% 21.26/3.67 | | | | (73) member(all_46_4, all_32_7) = all_64_1
% 21.26/3.67 | | | | (74) member(all_46_3, all_32_5) = all_64_0
% 21.26/3.67 | | | | (75) ~ (all_64_0 = 0) | ~ (all_64_1 = 0)
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | GROUND_INST: instantiating (4) with 0, all_64_1, all_32_7, all_46_4,
% 21.26/3.67 | | | | simplifying with (36), (73) gives:
% 21.26/3.67 | | | | (76) all_64_1 = 0
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | GROUND_INST: instantiating (4) with 0, all_64_0, all_32_5, all_46_3,
% 21.26/3.67 | | | | simplifying with (37), (74) gives:
% 21.26/3.67 | | | | (77) all_64_0 = 0
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | BETA: splitting (75) gives:
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | Case 1:
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | | (78) ~ (all_64_0 = 0)
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | | REDUCE: (77), (78) imply:
% 21.26/3.67 | | | | | (79) $false
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | | CLOSE: (79) is inconsistent.
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | Case 2:
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | | (80) ~ (all_64_1 = 0)
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | | REDUCE: (76), (80) imply:
% 21.26/3.67 | | | | | (81) $false
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | | CLOSE: (81) is inconsistent.
% 21.26/3.67 | | | | |
% 21.26/3.67 | | | | End of split
% 21.26/3.67 | | | |
% 21.26/3.67 | | | Case 2:
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | (82) ? [v0: $i] : (apply(all_32_8, v0, all_46_3) = 0 &
% 21.26/3.67 | | | | apply(all_32_9, all_46_4, v0) = 0 & member(v0, all_32_6) = 0 &
% 21.26/3.67 | | | | $i(v0))
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | DELTA: instantiating (82) with fresh symbol all_64_0 gives:
% 21.26/3.67 | | | | (83) apply(all_32_8, all_64_0, all_46_3) = 0 & apply(all_32_9,
% 21.26/3.67 | | | | all_46_4, all_64_0) = 0 & member(all_64_0, all_32_6) = 0 &
% 21.26/3.67 | | | | $i(all_64_0)
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | ALPHA: (83) implies:
% 21.26/3.67 | | | | (84) $i(all_64_0)
% 21.26/3.67 | | | | (85) member(all_64_0, all_32_6) = 0
% 21.26/3.67 | | | | (86) apply(all_32_9, all_46_4, all_64_0) = 0
% 21.26/3.67 | | | | (87) apply(all_32_8, all_64_0, all_46_3) = 0
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_4,
% 21.26/3.67 | | | | all_55_0, simplifying with (32), (52), (53) gives:
% 21.26/3.67 | | | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.67 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_55_0)
% 21.26/3.67 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 &
% 21.26/3.67 | | | | member(all_55_0, all_32_6) = v3 & member(all_55_0, all_32_6) =
% 21.26/3.67 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4,
% 21.26/3.67 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.67 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_4,
% 21.26/3.67 | | | | all_64_0, simplifying with (32), (84), (86) gives:
% 21.26/3.67 | | | | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.67 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_64_0)
% 21.26/3.67 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 &
% 21.26/3.67 | | | | member(all_64_0, all_32_6) = v3 & member(all_64_0, all_32_6) =
% 21.26/3.67 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4,
% 21.26/3.67 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.67 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_4,
% 21.26/3.67 | | | | all_64_0, simplifying with (32), (52), (53), (84), (86)
% 21.26/3.67 | | | | gives:
% 21.26/3.67 | | | | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.67 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_55_0)
% 21.26/3.67 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 &
% 21.26/3.67 | | | | member(all_64_0, all_32_6) = v3 & member(all_55_0, all_32_6) =
% 21.26/3.67 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4,
% 21.26/3.67 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.67 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.67 | | | |
% 21.26/3.67 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_4,
% 21.26/3.67 | | | | all_55_0, simplifying with (32), (52), (53), (84), (86)
% 21.26/3.67 | | | | gives:
% 21.26/3.67 | | | | (91) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.67 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_64_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 &
% 21.26/3.68 | | | | member(all_64_0, all_32_6) = v1 & member(all_55_0, all_32_6) =
% 21.26/3.68 | | | | v3 & member(all_46_4, all_32_7) = v2 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_2,
% 21.26/3.68 | | | | all_53_0, simplifying with (34), (49), (50) gives:
% 21.26/3.68 | | | | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_53_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_53_0, all_32_6) = v3 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_2,
% 21.26/3.68 | | | | all_53_0, simplifying with (32), (34), (49), (50), (84),
% 21.26/3.68 | | | | (86) gives:
% 21.26/3.68 | | | | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_64_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_64_0, all_32_6) = v1 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_4,
% 21.26/3.68 | | | | all_64_0, simplifying with (32), (34), (49), (50), (84),
% 21.26/3.68 | | | | (86) gives:
% 21.26/3.68 | | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_53_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 &
% 21.26/3.68 | | | | member(all_64_0, all_32_6) = v3 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_2,
% 21.26/3.68 | | | | all_53_0, simplifying with (32), (34), (49), (50), (52),
% 21.26/3.68 | | | | (53) gives:
% 21.26/3.68 | | | | (95) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_55_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_55_0, all_32_6) = v1 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_4,
% 21.26/3.68 | | | | all_55_0, simplifying with (32), (34), (49), (50), (52),
% 21.26/3.68 | | | | (53) gives:
% 21.26/3.68 | | | | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_53_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 &
% 21.26/3.68 | | | | member(all_55_0, all_32_6) = v3 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_2,
% 21.26/3.68 | | | | all_60_0, simplifying with (34), (67), (69) gives:
% 21.26/3.68 | | | | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_60_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_60_0, all_32_6) = v3 & member(all_60_0, all_32_6) =
% 21.26/3.68 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_2,
% 21.26/3.68 | | | | all_60_0, simplifying with (34), (49), (50), (67), (69)
% 21.26/3.68 | | | | gives:
% 21.26/3.68 | | | | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_53_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_60_0, all_32_6) = v3 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_2,
% 21.26/3.68 | | | | all_53_0, simplifying with (34), (49), (50), (67), (69)
% 21.26/3.68 | | | | gives:
% 21.26/3.68 | | | | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_60_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_60_0, all_32_6) = v1 & member(all_53_0, all_32_6) =
% 21.26/3.68 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_2,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_2,
% 21.26/3.68 | | | | all_60_0, simplifying with (32), (34), (67), (69), (84),
% 21.26/3.68 | | | | (86) gives:
% 21.26/3.68 | | | | (100) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_64_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 &
% 21.26/3.68 | | | | member(all_64_0, all_32_6) = v1 & member(all_60_0, all_32_6)
% 21.26/3.68 | | | | = v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_4,
% 21.26/3.68 | | | | all_64_0, simplifying with (32), (34), (67), (69), (84),
% 21.26/3.68 | | | | (86) gives:
% 21.26/3.68 | | | | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.68 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_60_0)
% 21.26/3.68 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 &
% 21.26/3.68 | | | | member(all_64_0, all_32_6) = v3 & member(all_60_0, all_32_6)
% 21.26/3.68 | | | | = v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4,
% 21.26/3.68 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.68 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.68 | | | |
% 21.26/3.68 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_2,
% 21.26/3.68 | | | | all_60_0, simplifying with (32), (34), (52), (53), (67),
% 21.26/3.68 | | | | (69) gives:
% 21.26/3.69 | | | | (102) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.69 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_55_0)
% 21.26/3.69 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = v3 & member(all_55_0, all_32_6)
% 21.26/3.69 | | | | = v1 & member(all_46_2, all_32_7) = v2 & member(all_46_4,
% 21.26/3.69 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.69 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_4,
% 21.26/3.69 | | | | all_55_0, simplifying with (32), (34), (52), (53), (67),
% 21.26/3.69 | | | | (69) gives:
% 21.26/3.69 | | | | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.69 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_60_0)
% 21.26/3.69 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = v1 & member(all_55_0, all_32_6)
% 21.26/3.69 | | | | = v3 & member(all_46_2, all_32_7) = v0 & member(all_46_4,
% 21.26/3.69 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.69 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | GROUND_INST: instantiating (26) with all_60_0, all_46_1, all_60_0,
% 21.26/3.69 | | | | all_46_1, simplifying with (35), (67), (70) gives:
% 21.26/3.69 | | | | (104) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.69 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_1, all_46_1)
% 21.26/3.69 | | | | = v5 & apply(all_32_3, all_60_0, all_60_0) = v4 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = v2 & member(all_60_0, all_32_6)
% 21.26/3.69 | | | | = v0 & member(all_46_1, all_32_5) = v3 & member(all_46_1,
% 21.26/3.69 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.69 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | GROUND_INST: instantiating (26) with all_64_0, all_46_3, all_64_0,
% 21.26/3.69 | | | | all_46_3, simplifying with (33), (84), (87) gives:
% 21.26/3.69 | | | | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.69 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_3, all_46_3)
% 21.26/3.69 | | | | = v5 & apply(all_32_3, all_64_0, all_64_0) = v4 &
% 21.26/3.69 | | | | member(all_64_0, all_32_6) = v2 & member(all_64_0, all_32_6)
% 21.26/3.69 | | | | = v0 & member(all_46_3, all_32_5) = v3 & member(all_46_3,
% 21.26/3.69 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.69 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | GROUND_INST: instantiating (26) with all_60_0, all_46_1, all_64_0,
% 21.26/3.69 | | | | all_46_3, simplifying with (33), (35), (67), (70), (84),
% 21.26/3.69 | | | | (87) gives:
% 21.26/3.69 | | | | (106) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.69 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_3, all_46_1)
% 21.26/3.69 | | | | = v5 & apply(all_32_3, all_60_0, all_64_0) = v4 &
% 21.26/3.69 | | | | member(all_64_0, all_32_6) = v2 & member(all_60_0, all_32_6)
% 21.26/3.69 | | | | = v0 & member(all_46_1, all_32_5) = v1 & member(all_46_3,
% 21.26/3.69 | | | | all_32_5) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.69 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | GROUND_INST: instantiating (26) with all_64_0, all_46_3, all_60_0,
% 21.26/3.69 | | | | all_46_1, simplifying with (33), (35), (67), (70), (84),
% 21.26/3.69 | | | | (87) gives:
% 21.26/3.69 | | | | (107) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 21.26/3.69 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_1, all_46_3)
% 21.26/3.69 | | | | = v5 & apply(all_32_3, all_64_0, all_60_0) = v4 &
% 21.26/3.69 | | | | member(all_64_0, all_32_6) = v0 & member(all_60_0, all_32_6)
% 21.26/3.69 | | | | = v2 & member(all_46_1, all_32_5) = v3 & member(all_46_3,
% 21.26/3.69 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) |
% 21.26/3.69 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (89) with fresh symbols all_79_0, all_79_1,
% 21.26/3.69 | | | | all_79_2, all_79_3, all_79_4, all_79_5 gives:
% 21.26/3.69 | | | | (108) apply(all_32_3, all_64_0, all_64_0) = all_79_0 &
% 21.26/3.69 | | | | apply(all_32_4, all_46_4, all_46_4) = all_79_1 &
% 21.26/3.69 | | | | member(all_64_0, all_32_6) = all_79_2 & member(all_64_0,
% 21.26/3.69 | | | | all_32_6) = all_79_4 & member(all_46_4, all_32_7) = all_79_3
% 21.26/3.69 | | | | & member(all_46_4, all_32_7) = all_79_5 & ( ~ (all_79_1 = 0) |
% 21.26/3.69 | | | | ~ (all_79_2 = 0) | ~ (all_79_3 = 0) | ~ (all_79_4 = 0) | ~
% 21.26/3.69 | | | | (all_79_5 = 0) | all_79_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (108) implies:
% 21.26/3.69 | | | | (109) member(all_46_4, all_32_7) = all_79_3
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (107) with fresh symbols all_81_0, all_81_1,
% 21.26/3.69 | | | | all_81_2, all_81_3, all_81_4, all_81_5 gives:
% 21.26/3.69 | | | | (110) apply(all_32_2, all_46_1, all_46_3) = all_81_0 &
% 21.26/3.69 | | | | apply(all_32_3, all_64_0, all_60_0) = all_81_1 &
% 21.26/3.69 | | | | member(all_64_0, all_32_6) = all_81_5 & member(all_60_0,
% 21.26/3.69 | | | | all_32_6) = all_81_3 & member(all_46_1, all_32_5) = all_81_2
% 21.26/3.69 | | | | & member(all_46_3, all_32_5) = all_81_4 & ( ~ (all_81_1 = 0) |
% 21.26/3.69 | | | | ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | ~
% 21.26/3.69 | | | | (all_81_5 = 0) | all_81_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (110) implies:
% 21.26/3.69 | | | | (111) member(all_46_1, all_32_5) = all_81_2
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (106) with fresh symbols all_83_0, all_83_1,
% 21.26/3.69 | | | | all_83_2, all_83_3, all_83_4, all_83_5 gives:
% 21.26/3.69 | | | | (112) apply(all_32_2, all_46_3, all_46_1) = all_83_0 &
% 21.26/3.69 | | | | apply(all_32_3, all_60_0, all_64_0) = all_83_1 &
% 21.26/3.69 | | | | member(all_64_0, all_32_6) = all_83_3 & member(all_60_0,
% 21.26/3.69 | | | | all_32_6) = all_83_5 & member(all_46_1, all_32_5) = all_83_4
% 21.26/3.69 | | | | & member(all_46_3, all_32_5) = all_83_2 & ( ~ (all_83_1 = 0) |
% 21.26/3.69 | | | | ~ (all_83_2 = 0) | ~ (all_83_3 = 0) | ~ (all_83_4 = 0) | ~
% 21.26/3.69 | | | | (all_83_5 = 0) | all_83_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (112) implies:
% 21.26/3.69 | | | | (113) member(all_46_3, all_32_5) = all_83_2
% 21.26/3.69 | | | | (114) member(all_46_1, all_32_5) = all_83_4
% 21.26/3.69 | | | | (115) member(all_60_0, all_32_6) = all_83_5
% 21.26/3.69 | | | | (116) member(all_64_0, all_32_6) = all_83_3
% 21.26/3.69 | | | | (117) apply(all_32_3, all_60_0, all_64_0) = all_83_1
% 21.26/3.69 | | | | (118) apply(all_32_2, all_46_3, all_46_1) = all_83_0
% 21.26/3.69 | | | | (119) ~ (all_83_1 = 0) | ~ (all_83_2 = 0) | ~ (all_83_3 = 0) | ~
% 21.26/3.69 | | | | (all_83_4 = 0) | ~ (all_83_5 = 0) | all_83_0 = 0
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (103) with fresh symbols all_85_0, all_85_1,
% 21.26/3.69 | | | | all_85_2, all_85_3, all_85_4, all_85_5 gives:
% 21.26/3.69 | | | | (120) apply(all_32_3, all_55_0, all_60_0) = all_85_0 &
% 21.26/3.69 | | | | apply(all_32_4, all_46_2, all_46_4) = all_85_1 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = all_85_4 & member(all_55_0,
% 21.26/3.69 | | | | all_32_6) = all_85_2 & member(all_46_2, all_32_7) = all_85_5
% 21.26/3.69 | | | | & member(all_46_4, all_32_7) = all_85_3 & ( ~ (all_85_1 = 0) |
% 21.26/3.69 | | | | ~ (all_85_2 = 0) | ~ (all_85_3 = 0) | ~ (all_85_4 = 0) | ~
% 21.26/3.69 | | | | (all_85_5 = 0) | all_85_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (120) implies:
% 21.26/3.69 | | | | (121) member(all_46_4, all_32_7) = all_85_3
% 21.26/3.69 | | | | (122) member(all_46_2, all_32_7) = all_85_5
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (102) with fresh symbols all_87_0, all_87_1,
% 21.26/3.69 | | | | all_87_2, all_87_3, all_87_4, all_87_5 gives:
% 21.26/3.69 | | | | (123) apply(all_32_3, all_60_0, all_55_0) = all_87_0 &
% 21.26/3.69 | | | | apply(all_32_4, all_46_4, all_46_2) = all_87_1 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = all_87_2 & member(all_55_0,
% 21.26/3.69 | | | | all_32_6) = all_87_4 & member(all_46_2, all_32_7) = all_87_3
% 21.26/3.69 | | | | & member(all_46_4, all_32_7) = all_87_5 & ( ~ (all_87_1 = 0) |
% 21.26/3.69 | | | | ~ (all_87_2 = 0) | ~ (all_87_3 = 0) | ~ (all_87_4 = 0) | ~
% 21.26/3.69 | | | | (all_87_5 = 0) | all_87_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (123) implies:
% 21.26/3.69 | | | | (124) member(all_46_4, all_32_7) = all_87_5
% 21.26/3.69 | | | | (125) member(all_46_2, all_32_7) = all_87_3
% 21.26/3.69 | | | | (126) member(all_60_0, all_32_6) = all_87_2
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (99) with fresh symbols all_89_0, all_89_1,
% 21.26/3.69 | | | | all_89_2, all_89_3, all_89_4, all_89_5 gives:
% 21.26/3.69 | | | | (127) apply(all_32_3, all_53_0, all_60_0) = all_89_0 &
% 21.26/3.69 | | | | apply(all_32_4, all_46_2, all_46_2) = all_89_1 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = all_89_4 & member(all_53_0,
% 21.26/3.69 | | | | all_32_6) = all_89_2 & member(all_46_2, all_32_7) = all_89_3
% 21.26/3.69 | | | | & member(all_46_2, all_32_7) = all_89_5 & ( ~ (all_89_1 = 0) |
% 21.26/3.69 | | | | ~ (all_89_2 = 0) | ~ (all_89_3 = 0) | ~ (all_89_4 = 0) | ~
% 21.26/3.69 | | | | (all_89_5 = 0) | all_89_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (127) implies:
% 21.26/3.69 | | | | (128) member(all_46_2, all_32_7) = all_89_5
% 21.26/3.69 | | | | (129) member(all_46_2, all_32_7) = all_89_3
% 21.26/3.69 | | | | (130) member(all_60_0, all_32_6) = all_89_4
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (98) with fresh symbols all_91_0, all_91_1,
% 21.26/3.69 | | | | all_91_2, all_91_3, all_91_4, all_91_5 gives:
% 21.26/3.69 | | | | (131) apply(all_32_3, all_60_0, all_53_0) = all_91_0 &
% 21.26/3.69 | | | | apply(all_32_4, all_46_2, all_46_2) = all_91_1 &
% 21.26/3.69 | | | | member(all_60_0, all_32_6) = all_91_2 & member(all_53_0,
% 21.26/3.69 | | | | all_32_6) = all_91_4 & member(all_46_2, all_32_7) = all_91_3
% 21.26/3.69 | | | | & member(all_46_2, all_32_7) = all_91_5 & ( ~ (all_91_1 = 0) |
% 21.26/3.69 | | | | ~ (all_91_2 = 0) | ~ (all_91_3 = 0) | ~ (all_91_4 = 0) | ~
% 21.26/3.69 | | | | (all_91_5 = 0) | all_91_0 = 0)
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | ALPHA: (131) implies:
% 21.26/3.69 | | | | (132) member(all_46_2, all_32_7) = all_91_5
% 21.26/3.69 | | | | (133) member(all_46_2, all_32_7) = all_91_3
% 21.26/3.69 | | | | (134) member(all_60_0, all_32_6) = all_91_2
% 21.26/3.69 | | | |
% 21.26/3.69 | | | | DELTA: instantiating (101) with fresh symbols all_93_0, all_93_1,
% 21.26/3.69 | | | | all_93_2, all_93_3, all_93_4, all_93_5 gives:
% 21.26/3.70 | | | | (135) apply(all_32_3, all_64_0, all_60_0) = all_93_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_2, all_46_4) = all_93_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_93_2 & member(all_60_0,
% 21.26/3.70 | | | | all_32_6) = all_93_4 & member(all_46_2, all_32_7) = all_93_5
% 21.26/3.70 | | | | & member(all_46_4, all_32_7) = all_93_3 & ( ~ (all_93_1 = 0) |
% 21.26/3.70 | | | | ~ (all_93_2 = 0) | ~ (all_93_3 = 0) | ~ (all_93_4 = 0) | ~
% 21.26/3.70 | | | | (all_93_5 = 0) | all_93_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (135) implies:
% 21.26/3.70 | | | | (136) member(all_46_4, all_32_7) = all_93_3
% 21.26/3.70 | | | | (137) member(all_46_2, all_32_7) = all_93_5
% 21.26/3.70 | | | | (138) member(all_64_0, all_32_6) = all_93_2
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (100) with fresh symbols all_95_0, all_95_1,
% 21.26/3.70 | | | | all_95_2, all_95_3, all_95_4, all_95_5 gives:
% 21.26/3.70 | | | | (139) apply(all_32_3, all_60_0, all_64_0) = all_95_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_4, all_46_2) = all_95_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_95_4 & member(all_60_0,
% 21.26/3.70 | | | | all_32_6) = all_95_2 & member(all_46_2, all_32_7) = all_95_3
% 21.26/3.70 | | | | & member(all_46_4, all_32_7) = all_95_5 & ( ~ (all_95_1 = 0) |
% 21.26/3.70 | | | | ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | ~
% 21.26/3.70 | | | | (all_95_5 = 0) | all_95_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (139) implies:
% 21.26/3.70 | | | | (140) member(all_46_4, all_32_7) = all_95_5
% 21.26/3.70 | | | | (141) member(all_46_2, all_32_7) = all_95_3
% 21.26/3.70 | | | | (142) member(all_60_0, all_32_6) = all_95_2
% 21.26/3.70 | | | | (143) member(all_64_0, all_32_6) = all_95_4
% 21.26/3.70 | | | | (144) apply(all_32_4, all_46_4, all_46_2) = all_95_1
% 21.26/3.70 | | | | (145) apply(all_32_3, all_60_0, all_64_0) = all_95_0
% 21.26/3.70 | | | | (146) ~ (all_95_1 = 0) | ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~
% 21.26/3.70 | | | | (all_95_4 = 0) | ~ (all_95_5 = 0) | all_95_0 = 0
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (105) with fresh symbols all_97_0, all_97_1,
% 21.26/3.70 | | | | all_97_2, all_97_3, all_97_4, all_97_5 gives:
% 21.26/3.70 | | | | (147) apply(all_32_2, all_46_3, all_46_3) = all_97_0 &
% 21.26/3.70 | | | | apply(all_32_3, all_64_0, all_64_0) = all_97_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_97_3 & member(all_64_0,
% 21.26/3.70 | | | | all_32_6) = all_97_5 & member(all_46_3, all_32_5) = all_97_2
% 21.26/3.70 | | | | & member(all_46_3, all_32_5) = all_97_4 & ( ~ (all_97_1 = 0) |
% 21.26/3.70 | | | | ~ (all_97_2 = 0) | ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | ~
% 21.26/3.70 | | | | (all_97_5 = 0) | all_97_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (147) implies:
% 21.26/3.70 | | | | (148) member(all_46_3, all_32_5) = all_97_4
% 21.26/3.70 | | | | (149) member(all_46_3, all_32_5) = all_97_2
% 21.26/3.70 | | | | (150) member(all_64_0, all_32_6) = all_97_5
% 21.26/3.70 | | | | (151) member(all_64_0, all_32_6) = all_97_3
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (104) with fresh symbols all_99_0, all_99_1,
% 21.26/3.70 | | | | all_99_2, all_99_3, all_99_4, all_99_5 gives:
% 21.26/3.70 | | | | (152) apply(all_32_2, all_46_1, all_46_1) = all_99_0 &
% 21.26/3.70 | | | | apply(all_32_3, all_60_0, all_60_0) = all_99_1 &
% 21.26/3.70 | | | | member(all_60_0, all_32_6) = all_99_3 & member(all_60_0,
% 21.26/3.70 | | | | all_32_6) = all_99_5 & member(all_46_1, all_32_5) = all_99_2
% 21.26/3.70 | | | | & member(all_46_1, all_32_5) = all_99_4 & ( ~ (all_99_1 = 0) |
% 21.26/3.70 | | | | ~ (all_99_2 = 0) | ~ (all_99_3 = 0) | ~ (all_99_4 = 0) | ~
% 21.26/3.70 | | | | (all_99_5 = 0) | all_99_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (152) implies:
% 21.26/3.70 | | | | (153) member(all_46_1, all_32_5) = all_99_4
% 21.26/3.70 | | | | (154) member(all_46_1, all_32_5) = all_99_2
% 21.26/3.70 | | | | (155) member(all_60_0, all_32_6) = all_99_5
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (88) with fresh symbols all_101_0, all_101_1,
% 21.26/3.70 | | | | all_101_2, all_101_3, all_101_4, all_101_5 gives:
% 21.26/3.70 | | | | (156) apply(all_32_3, all_55_0, all_55_0) = all_101_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_4, all_46_4) = all_101_1 &
% 21.26/3.70 | | | | member(all_55_0, all_32_6) = all_101_2 & member(all_55_0,
% 21.26/3.70 | | | | all_32_6) = all_101_4 & member(all_46_4, all_32_7) =
% 21.26/3.70 | | | | all_101_3 & member(all_46_4, all_32_7) = all_101_5 & ( ~
% 21.26/3.70 | | | | (all_101_1 = 0) | ~ (all_101_2 = 0) | ~ (all_101_3 = 0) |
% 21.26/3.70 | | | | ~ (all_101_4 = 0) | ~ (all_101_5 = 0) | all_101_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (156) implies:
% 21.26/3.70 | | | | (157) member(all_46_4, all_32_7) = all_101_5
% 21.26/3.70 | | | | (158) member(all_46_4, all_32_7) = all_101_3
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (97) with fresh symbols all_103_0, all_103_1,
% 21.26/3.70 | | | | all_103_2, all_103_3, all_103_4, all_103_5 gives:
% 21.26/3.70 | | | | (159) apply(all_32_3, all_60_0, all_60_0) = all_103_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_2, all_46_2) = all_103_1 &
% 21.26/3.70 | | | | member(all_60_0, all_32_6) = all_103_2 & member(all_60_0,
% 21.26/3.70 | | | | all_32_6) = all_103_4 & member(all_46_2, all_32_7) =
% 21.26/3.70 | | | | all_103_3 & member(all_46_2, all_32_7) = all_103_5 & ( ~
% 21.26/3.70 | | | | (all_103_1 = 0) | ~ (all_103_2 = 0) | ~ (all_103_3 = 0) |
% 21.26/3.70 | | | | ~ (all_103_4 = 0) | ~ (all_103_5 = 0) | all_103_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (159) implies:
% 21.26/3.70 | | | | (160) member(all_46_2, all_32_7) = all_103_5
% 21.26/3.70 | | | | (161) member(all_46_2, all_32_7) = all_103_3
% 21.26/3.70 | | | | (162) member(all_60_0, all_32_6) = all_103_4
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (96) with fresh symbols all_105_0, all_105_1,
% 21.26/3.70 | | | | all_105_2, all_105_3, all_105_4, all_105_5 gives:
% 21.26/3.70 | | | | (163) apply(all_32_3, all_55_0, all_53_0) = all_105_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_2, all_46_4) = all_105_1 &
% 21.26/3.70 | | | | member(all_55_0, all_32_6) = all_105_2 & member(all_53_0,
% 21.26/3.70 | | | | all_32_6) = all_105_4 & member(all_46_2, all_32_7) =
% 21.26/3.70 | | | | all_105_5 & member(all_46_4, all_32_7) = all_105_3 & ( ~
% 21.26/3.70 | | | | (all_105_1 = 0) | ~ (all_105_2 = 0) | ~ (all_105_3 = 0) |
% 21.26/3.70 | | | | ~ (all_105_4 = 0) | ~ (all_105_5 = 0) | all_105_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (163) implies:
% 21.26/3.70 | | | | (164) member(all_46_4, all_32_7) = all_105_3
% 21.26/3.70 | | | | (165) member(all_46_2, all_32_7) = all_105_5
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (93) with fresh symbols all_107_0, all_107_1,
% 21.26/3.70 | | | | all_107_2, all_107_3, all_107_4, all_107_5 gives:
% 21.26/3.70 | | | | (166) apply(all_32_3, all_53_0, all_64_0) = all_107_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_4, all_46_2) = all_107_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_107_4 & member(all_53_0,
% 21.26/3.70 | | | | all_32_6) = all_107_2 & member(all_46_2, all_32_7) =
% 21.26/3.70 | | | | all_107_3 & member(all_46_4, all_32_7) = all_107_5 & ( ~
% 21.26/3.70 | | | | (all_107_1 = 0) | ~ (all_107_2 = 0) | ~ (all_107_3 = 0) |
% 21.26/3.70 | | | | ~ (all_107_4 = 0) | ~ (all_107_5 = 0) | all_107_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (166) implies:
% 21.26/3.70 | | | | (167) member(all_46_4, all_32_7) = all_107_5
% 21.26/3.70 | | | | (168) member(all_46_2, all_32_7) = all_107_3
% 21.26/3.70 | | | | (169) member(all_64_0, all_32_6) = all_107_4
% 21.26/3.70 | | | | (170) apply(all_32_4, all_46_4, all_46_2) = all_107_1
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (92) with fresh symbols all_109_0, all_109_1,
% 21.26/3.70 | | | | all_109_2, all_109_3, all_109_4, all_109_5 gives:
% 21.26/3.70 | | | | (171) apply(all_32_3, all_53_0, all_53_0) = all_109_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_2, all_46_2) = all_109_1 &
% 21.26/3.70 | | | | member(all_53_0, all_32_6) = all_109_2 & member(all_53_0,
% 21.26/3.70 | | | | all_32_6) = all_109_4 & member(all_46_2, all_32_7) =
% 21.26/3.70 | | | | all_109_3 & member(all_46_2, all_32_7) = all_109_5 & ( ~
% 21.26/3.70 | | | | (all_109_1 = 0) | ~ (all_109_2 = 0) | ~ (all_109_3 = 0) |
% 21.26/3.70 | | | | ~ (all_109_4 = 0) | ~ (all_109_5 = 0) | all_109_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (171) implies:
% 21.26/3.70 | | | | (172) member(all_46_2, all_32_7) = all_109_5
% 21.26/3.70 | | | | (173) member(all_46_2, all_32_7) = all_109_3
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (95) with fresh symbols all_111_0, all_111_1,
% 21.26/3.70 | | | | all_111_2, all_111_3, all_111_4, all_111_5 gives:
% 21.26/3.70 | | | | (174) apply(all_32_3, all_53_0, all_55_0) = all_111_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_4, all_46_2) = all_111_1 &
% 21.26/3.70 | | | | member(all_55_0, all_32_6) = all_111_4 & member(all_53_0,
% 21.26/3.70 | | | | all_32_6) = all_111_2 & member(all_46_2, all_32_7) =
% 21.26/3.70 | | | | all_111_3 & member(all_46_4, all_32_7) = all_111_5 & ( ~
% 21.26/3.70 | | | | (all_111_1 = 0) | ~ (all_111_2 = 0) | ~ (all_111_3 = 0) |
% 21.26/3.70 | | | | ~ (all_111_4 = 0) | ~ (all_111_5 = 0) | all_111_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (174) implies:
% 21.26/3.70 | | | | (175) member(all_46_4, all_32_7) = all_111_5
% 21.26/3.70 | | | | (176) member(all_46_2, all_32_7) = all_111_3
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (94) with fresh symbols all_113_0, all_113_1,
% 21.26/3.70 | | | | all_113_2, all_113_3, all_113_4, all_113_5 gives:
% 21.26/3.70 | | | | (177) apply(all_32_3, all_64_0, all_53_0) = all_113_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_2, all_46_4) = all_113_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_113_2 & member(all_53_0,
% 21.26/3.70 | | | | all_32_6) = all_113_4 & member(all_46_2, all_32_7) =
% 21.26/3.70 | | | | all_113_5 & member(all_46_4, all_32_7) = all_113_3 & ( ~
% 21.26/3.70 | | | | (all_113_1 = 0) | ~ (all_113_2 = 0) | ~ (all_113_3 = 0) |
% 21.26/3.70 | | | | ~ (all_113_4 = 0) | ~ (all_113_5 = 0) | all_113_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (177) implies:
% 21.26/3.70 | | | | (178) member(all_46_4, all_32_7) = all_113_3
% 21.26/3.70 | | | | (179) member(all_46_2, all_32_7) = all_113_5
% 21.26/3.70 | | | | (180) member(all_64_0, all_32_6) = all_113_2
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (91) with fresh symbols all_115_0, all_115_1,
% 21.26/3.70 | | | | all_115_2, all_115_3, all_115_4, all_115_5 gives:
% 21.26/3.70 | | | | (181) apply(all_32_3, all_55_0, all_64_0) = all_115_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_4, all_46_4) = all_115_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_115_4 & member(all_55_0,
% 21.26/3.70 | | | | all_32_6) = all_115_2 & member(all_46_4, all_32_7) =
% 21.26/3.70 | | | | all_115_3 & member(all_46_4, all_32_7) = all_115_5 & ( ~
% 21.26/3.70 | | | | (all_115_1 = 0) | ~ (all_115_2 = 0) | ~ (all_115_3 = 0) |
% 21.26/3.70 | | | | ~ (all_115_4 = 0) | ~ (all_115_5 = 0) | all_115_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (181) implies:
% 21.26/3.70 | | | | (182) member(all_46_4, all_32_7) = all_115_5
% 21.26/3.70 | | | | (183) member(all_46_4, all_32_7) = all_115_3
% 21.26/3.70 | | | | (184) member(all_64_0, all_32_6) = all_115_4
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | DELTA: instantiating (90) with fresh symbols all_117_0, all_117_1,
% 21.26/3.70 | | | | all_117_2, all_117_3, all_117_4, all_117_5 gives:
% 21.26/3.70 | | | | (185) apply(all_32_3, all_64_0, all_55_0) = all_117_0 &
% 21.26/3.70 | | | | apply(all_32_4, all_46_4, all_46_4) = all_117_1 &
% 21.26/3.70 | | | | member(all_64_0, all_32_6) = all_117_2 & member(all_55_0,
% 21.26/3.70 | | | | all_32_6) = all_117_4 & member(all_46_4, all_32_7) =
% 21.26/3.70 | | | | all_117_3 & member(all_46_4, all_32_7) = all_117_5 & ( ~
% 21.26/3.70 | | | | (all_117_1 = 0) | ~ (all_117_2 = 0) | ~ (all_117_3 = 0) |
% 21.26/3.70 | | | | ~ (all_117_4 = 0) | ~ (all_117_5 = 0) | all_117_0 = 0)
% 21.26/3.70 | | | |
% 21.26/3.70 | | | | ALPHA: (185) implies:
% 21.26/3.71 | | | | (186) member(all_46_4, all_32_7) = all_117_5
% 21.26/3.71 | | | | (187) member(all_46_4, all_32_7) = all_117_3
% 21.26/3.71 | | | | (188) member(all_64_0, all_32_6) = all_117_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with 0, all_95_5, all_32_7, all_46_4,
% 21.26/3.71 | | | | simplifying with (36), (140) gives:
% 21.26/3.71 | | | | (189) all_95_5 = 0
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_87_5, all_95_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (124), (140) gives:
% 21.26/3.71 | | | | (190) all_95_5 = all_87_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_87_5, all_101_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (124), (158) gives:
% 21.26/3.71 | | | | (191) all_101_3 = all_87_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_101_3, all_107_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (158), (167) gives:
% 21.26/3.71 | | | | (192) all_107_5 = all_101_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_93_3, all_107_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (136), (167) gives:
% 21.26/3.71 | | | | (193) all_107_5 = all_93_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_79_3, all_111_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (109), (175) gives:
% 21.26/3.71 | | | | (194) all_111_5 = all_79_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_101_5, all_113_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (157), (178) gives:
% 21.26/3.71 | | | | (195) all_113_3 = all_101_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_95_5, all_113_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (140), (178) gives:
% 21.26/3.71 | | | | (196) all_113_3 = all_95_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_113_3, all_115_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (178), (182) gives:
% 21.26/3.71 | | | | (197) all_115_5 = all_113_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_85_3, all_115_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (121), (182) gives:
% 21.26/3.71 | | | | (198) all_115_5 = all_85_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_111_5, all_115_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (175), (183) gives:
% 21.26/3.71 | | | | (199) all_115_3 = all_111_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_101_3, all_115_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (158), (183) gives:
% 21.26/3.71 | | | | (200) all_115_3 = all_101_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_115_3, all_117_5, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (183), (186) gives:
% 21.26/3.71 | | | | (201) all_117_5 = all_115_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_117_5, all_117_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (186), (187) gives:
% 21.26/3.71 | | | | (202) all_117_3 = all_117_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_105_3, all_117_3, all_32_7,
% 21.26/3.71 | | | | all_46_4, simplifying with (164), (187) gives:
% 21.26/3.71 | | | | (203) all_117_3 = all_105_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with 0, all_97_2, all_32_5, all_46_3,
% 21.26/3.71 | | | | simplifying with (37), (149) gives:
% 21.26/3.71 | | | | (204) all_97_2 = 0
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_97_4, all_97_2, all_32_5,
% 21.26/3.71 | | | | all_46_3, simplifying with (148), (149) gives:
% 21.26/3.71 | | | | (205) all_97_2 = all_97_4
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_83_2, all_97_2, all_32_5,
% 21.26/3.71 | | | | all_46_3, simplifying with (113), (149) gives:
% 21.26/3.71 | | | | (206) all_97_2 = all_83_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_85_5, all_89_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (122), (128) gives:
% 21.26/3.71 | | | | (207) all_89_5 = all_85_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with 0, all_89_3, all_32_7, all_46_2,
% 21.26/3.71 | | | | simplifying with (38), (129) gives:
% 21.26/3.71 | | | | (208) all_89_3 = 0
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_89_5, all_89_3, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (128), (129) gives:
% 21.26/3.71 | | | | (209) all_89_3 = all_89_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_89_3, all_91_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (129), (132) gives:
% 21.26/3.71 | | | | (210) all_91_5 = all_89_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_93_5, all_95_3, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (137), (141) gives:
% 21.26/3.71 | | | | (211) all_95_3 = all_93_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_93_5, all_103_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (137), (160) gives:
% 21.26/3.71 | | | | (212) all_103_5 = all_93_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_91_3, all_103_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (133), (160) gives:
% 21.26/3.71 | | | | (213) all_103_5 = all_91_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_91_5, all_103_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (132), (160) gives:
% 21.26/3.71 | | | | (214) all_103_5 = all_91_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_107_3, all_109_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (168), (172) gives:
% 21.26/3.71 | | | | (215) all_109_5 = all_107_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_103_3, all_109_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (161), (172) gives:
% 21.26/3.71 | | | | (216) all_109_5 = all_103_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_107_3, all_109_3, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (168), (173) gives:
% 21.26/3.71 | | | | (217) all_109_3 = all_107_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_95_3, all_109_3, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (141), (173) gives:
% 21.26/3.71 | | | | (218) all_109_3 = all_95_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_87_3, all_109_3, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (125), (173) gives:
% 21.26/3.71 | | | | (219) all_109_3 = all_87_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_111_3, all_113_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (176), (179) gives:
% 21.26/3.71 | | | | (220) all_113_5 = all_111_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_109_3, all_113_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (173), (179) gives:
% 21.26/3.71 | | | | (221) all_113_5 = all_109_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_105_5, all_113_5, all_32_7,
% 21.26/3.71 | | | | all_46_2, simplifying with (165), (179) gives:
% 21.26/3.71 | | | | (222) all_113_5 = all_105_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with 0, all_83_4, all_32_5, all_46_1,
% 21.26/3.71 | | | | simplifying with (39), (114) gives:
% 21.26/3.71 | | | | (223) all_83_4 = 0
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_83_4, all_99_4, all_32_5,
% 21.26/3.71 | | | | all_46_1, simplifying with (114), (153) gives:
% 21.26/3.71 | | | | (224) all_99_4 = all_83_4
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_99_4, all_99_2, all_32_5,
% 21.26/3.71 | | | | all_46_1, simplifying with (153), (154) gives:
% 21.26/3.71 | | | | (225) all_99_2 = all_99_4
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_81_2, all_99_2, all_32_5,
% 21.26/3.71 | | | | all_46_1, simplifying with (111), (154) gives:
% 21.26/3.71 | | | | (226) all_99_2 = all_81_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with 0, all_87_2, all_32_6, all_60_0,
% 21.26/3.71 | | | | simplifying with (68), (126) gives:
% 21.26/3.71 | | | | (227) all_87_2 = 0
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_87_2, all_91_2, all_32_6,
% 21.26/3.71 | | | | all_60_0, simplifying with (126), (134) gives:
% 21.26/3.71 | | | | (228) all_91_2 = all_87_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_91_2, all_99_5, all_32_6,
% 21.26/3.71 | | | | all_60_0, simplifying with (134), (155) gives:
% 21.26/3.71 | | | | (229) all_99_5 = all_91_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_89_4, all_99_5, all_32_6,
% 21.26/3.71 | | | | all_60_0, simplifying with (130), (155) gives:
% 21.26/3.71 | | | | (230) all_99_5 = all_89_4
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_95_2, all_103_4, all_32_6,
% 21.26/3.71 | | | | all_60_0, simplifying with (142), (162) gives:
% 21.26/3.71 | | | | (231) all_103_4 = all_95_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_91_2, all_103_4, all_32_6,
% 21.26/3.71 | | | | all_60_0, simplifying with (134), (162) gives:
% 21.26/3.71 | | | | (232) all_103_4 = all_91_2
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_83_5, all_103_4, all_32_6,
% 21.26/3.71 | | | | all_60_0, simplifying with (115), (162) gives:
% 21.26/3.71 | | | | (233) all_103_4 = all_83_5
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_83_3, all_93_2, all_32_6,
% 21.26/3.71 | | | | all_64_0, simplifying with (116), (138) gives:
% 21.26/3.71 | | | | (234) all_93_2 = all_83_3
% 21.26/3.71 | | | |
% 21.26/3.71 | | | | GROUND_INST: instantiating (4) with all_95_4, all_97_5, all_32_6,
% 21.26/3.71 | | | | all_64_0, simplifying with (143), (150) gives:
% 21.26/3.72 | | | | (235) all_97_5 = all_95_4
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with all_93_2, all_97_5, all_32_6,
% 21.26/3.72 | | | | all_64_0, simplifying with (138), (150) gives:
% 21.26/3.72 | | | | (236) all_97_5 = all_93_2
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with 0, all_107_4, all_32_6, all_64_0,
% 21.26/3.72 | | | | simplifying with (85), (169) gives:
% 21.26/3.72 | | | | (237) all_107_4 = 0
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with all_97_5, all_107_4, all_32_6,
% 21.26/3.72 | | | | all_64_0, simplifying with (150), (169) gives:
% 21.26/3.72 | | | | (238) all_107_4 = all_97_5
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with all_107_4, all_113_2, all_32_6,
% 21.26/3.72 | | | | all_64_0, simplifying with (169), (180) gives:
% 21.26/3.72 | | | | (239) all_113_2 = all_107_4
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with all_113_2, all_115_4, all_32_6,
% 21.26/3.72 | | | | all_64_0, simplifying with (180), (184) gives:
% 21.26/3.72 | | | | (240) all_115_4 = all_113_2
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with all_115_4, all_117_2, all_32_6,
% 21.26/3.72 | | | | all_64_0, simplifying with (184), (188) gives:
% 21.26/3.72 | | | | (241) all_117_2 = all_115_4
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (4) with all_97_3, all_117_2, all_32_6,
% 21.26/3.72 | | | | all_64_0, simplifying with (151), (188) gives:
% 21.26/3.72 | | | | (242) all_117_2 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (5) with 0, all_107_1, all_46_2, all_46_4,
% 21.26/3.72 | | | | all_32_4, simplifying with (40), (170) gives:
% 21.26/3.72 | | | | (243) all_107_1 = 0
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (5) with all_95_1, all_107_1, all_46_2,
% 21.26/3.72 | | | | all_46_4, all_32_4, simplifying with (144), (170) gives:
% 21.26/3.72 | | | | (244) all_107_1 = all_95_1
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (5) with all_83_1, all_95_0, all_64_0,
% 21.26/3.72 | | | | all_60_0, all_32_3, simplifying with (117), (145) gives:
% 21.26/3.72 | | | | (245) all_95_0 = all_83_1
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | GROUND_INST: instantiating (5) with all_46_0, all_83_0, all_46_1,
% 21.26/3.72 | | | | all_46_3, all_32_2, simplifying with (41), (118) gives:
% 21.26/3.72 | | | | (246) all_83_0 = all_46_0
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (241), (242) imply:
% 21.26/3.72 | | | | (247) all_115_4 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (247) implies:
% 21.26/3.72 | | | | (248) all_115_4 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (202), (203) imply:
% 21.26/3.72 | | | | (249) all_117_5 = all_105_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (249) implies:
% 21.26/3.72 | | | | (250) all_117_5 = all_105_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (201), (250) imply:
% 21.26/3.72 | | | | (251) all_115_3 = all_105_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (251) implies:
% 21.26/3.72 | | | | (252) all_115_3 = all_105_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (200), (252) imply:
% 21.26/3.72 | | | | (253) all_105_3 = all_101_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (199), (252) imply:
% 21.26/3.72 | | | | (254) all_111_5 = all_105_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (254) implies:
% 21.26/3.72 | | | | (255) all_111_5 = all_105_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (240), (248) imply:
% 21.26/3.72 | | | | (256) all_113_2 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (256) implies:
% 21.26/3.72 | | | | (257) all_113_2 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (197), (198) imply:
% 21.26/3.72 | | | | (258) all_113_3 = all_85_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (258) implies:
% 21.26/3.72 | | | | (259) all_113_3 = all_85_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (239), (257) imply:
% 21.26/3.72 | | | | (260) all_107_4 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | SIMP: (260) implies:
% 21.26/3.72 | | | | (261) all_107_4 = all_97_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (195), (196) imply:
% 21.26/3.72 | | | | (262) all_101_5 = all_95_5
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (195), (259) imply:
% 21.26/3.72 | | | | (263) all_101_5 = all_85_3
% 21.26/3.72 | | | |
% 21.26/3.72 | | | | COMBINE_EQS: (220), (221) imply:
% 21.26/3.72 | | | | (264) all_111_3 = all_109_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (220), (222) imply:
% 21.63/3.72 | | | | (265) all_111_3 = all_105_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (264), (265) imply:
% 21.63/3.72 | | | | (266) all_109_3 = all_105_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (266) implies:
% 21.63/3.72 | | | | (267) all_109_3 = all_105_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (194), (255) imply:
% 21.63/3.72 | | | | (268) all_105_3 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (268) implies:
% 21.63/3.72 | | | | (269) all_105_3 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (219), (267) imply:
% 21.63/3.72 | | | | (270) all_105_5 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (217), (267) imply:
% 21.63/3.72 | | | | (271) all_107_3 = all_105_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (271) implies:
% 21.63/3.72 | | | | (272) all_107_3 = all_105_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (218), (267) imply:
% 21.63/3.72 | | | | (273) all_105_5 = all_95_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (215), (216) imply:
% 21.63/3.72 | | | | (274) all_107_3 = all_103_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (274) implies:
% 21.63/3.72 | | | | (275) all_107_3 = all_103_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (243), (244) imply:
% 21.63/3.72 | | | | (276) all_95_1 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (272), (275) imply:
% 21.63/3.72 | | | | (277) all_105_5 = all_103_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (277) implies:
% 21.63/3.72 | | | | (278) all_105_5 = all_103_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (238), (261) imply:
% 21.63/3.72 | | | | (279) all_97_3 = all_97_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (237), (261) imply:
% 21.63/3.72 | | | | (280) all_97_3 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (192), (193) imply:
% 21.63/3.72 | | | | (281) all_101_3 = all_93_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (281) implies:
% 21.63/3.72 | | | | (282) all_101_3 = all_93_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (253), (269) imply:
% 21.63/3.72 | | | | (283) all_101_3 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (283) implies:
% 21.63/3.72 | | | | (284) all_101_3 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (273), (278) imply:
% 21.63/3.72 | | | | (285) all_103_3 = all_95_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (270), (278) imply:
% 21.63/3.72 | | | | (286) all_103_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (285), (286) imply:
% 21.63/3.72 | | | | (287) all_95_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (287) implies:
% 21.63/3.72 | | | | (288) all_95_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (231), (233) imply:
% 21.63/3.72 | | | | (289) all_95_2 = all_83_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (231), (232) imply:
% 21.63/3.72 | | | | (290) all_95_2 = all_91_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (212), (213) imply:
% 21.63/3.72 | | | | (291) all_93_5 = all_91_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (291) implies:
% 21.63/3.72 | | | | (292) all_93_5 = all_91_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (213), (214) imply:
% 21.63/3.72 | | | | (293) all_91_3 = all_91_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (191), (282) imply:
% 21.63/3.72 | | | | (294) all_93_3 = all_87_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (282), (284) imply:
% 21.63/3.72 | | | | (295) all_93_3 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (262), (263) imply:
% 21.63/3.72 | | | | (296) all_95_5 = all_85_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (296) implies:
% 21.63/3.72 | | | | (297) all_95_5 = all_85_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (225), (226) imply:
% 21.63/3.72 | | | | (298) all_99_4 = all_81_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (298) implies:
% 21.63/3.72 | | | | (299) all_99_4 = all_81_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (224), (299) imply:
% 21.63/3.72 | | | | (300) all_83_4 = all_81_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (300) implies:
% 21.63/3.72 | | | | (301) all_83_4 = all_81_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (229), (230) imply:
% 21.63/3.72 | | | | (302) all_91_2 = all_89_4
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (302) implies:
% 21.63/3.72 | | | | (303) all_91_2 = all_89_4
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (204), (205) imply:
% 21.63/3.72 | | | | (304) all_97_4 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (205), (206) imply:
% 21.63/3.72 | | | | (305) all_97_4 = all_83_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (279), (280) imply:
% 21.63/3.72 | | | | (306) all_97_5 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (306) implies:
% 21.63/3.72 | | | | (307) all_97_5 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (304), (305) imply:
% 21.63/3.72 | | | | (308) all_83_2 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (308) implies:
% 21.63/3.72 | | | | (309) all_83_2 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (235), (307) imply:
% 21.63/3.72 | | | | (310) all_95_4 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (235), (236) imply:
% 21.63/3.72 | | | | (311) all_95_4 = all_93_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (289), (290) imply:
% 21.63/3.72 | | | | (312) all_91_2 = all_83_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (312) implies:
% 21.63/3.72 | | | | (313) all_91_2 = all_83_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (211), (288) imply:
% 21.63/3.72 | | | | (314) all_93_5 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (314) implies:
% 21.63/3.72 | | | | (315) all_93_5 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (310), (311) imply:
% 21.63/3.72 | | | | (316) all_93_2 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (316) implies:
% 21.63/3.72 | | | | (317) all_93_2 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (189), (297) imply:
% 21.63/3.72 | | | | (318) all_85_3 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (190), (297) imply:
% 21.63/3.72 | | | | (319) all_87_5 = all_85_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (319) implies:
% 21.63/3.72 | | | | (320) all_87_5 = all_85_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (234), (317) imply:
% 21.63/3.72 | | | | (321) all_83_3 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (321) implies:
% 21.63/3.72 | | | | (322) all_83_3 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (294), (295) imply:
% 21.63/3.72 | | | | (323) all_87_5 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (323) implies:
% 21.63/3.72 | | | | (324) all_87_5 = all_79_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (292), (315) imply:
% 21.63/3.72 | | | | (325) all_91_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (325) implies:
% 21.63/3.72 | | | | (326) all_91_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (228), (303) imply:
% 21.63/3.72 | | | | (327) all_89_4 = all_87_2
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (303), (313) imply:
% 21.63/3.72 | | | | (328) all_89_4 = all_83_5
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (293), (326) imply:
% 21.63/3.72 | | | | (329) all_91_5 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (329) implies:
% 21.63/3.72 | | | | (330) all_91_5 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (210), (330) imply:
% 21.63/3.72 | | | | (331) all_89_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (331) implies:
% 21.63/3.72 | | | | (332) all_89_3 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (208), (332) imply:
% 21.63/3.72 | | | | (333) all_87_3 = 0
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | COMBINE_EQS: (209), (332) imply:
% 21.63/3.72 | | | | (334) all_89_5 = all_87_3
% 21.63/3.72 | | | |
% 21.63/3.72 | | | | SIMP: (334) implies:
% 21.63/3.73 | | | | (335) all_89_5 = all_87_3
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (327), (328) imply:
% 21.63/3.73 | | | | (336) all_87_2 = all_83_5
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | SIMP: (336) implies:
% 21.63/3.73 | | | | (337) all_87_2 = all_83_5
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (207), (335) imply:
% 21.63/3.73 | | | | (338) all_87_3 = all_85_5
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | SIMP: (338) implies:
% 21.63/3.73 | | | | (339) all_87_3 = all_85_5
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (227), (337) imply:
% 21.63/3.73 | | | | (340) all_83_5 = 0
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (333), (339) imply:
% 21.63/3.73 | | | | (341) all_85_5 = 0
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (320), (324) imply:
% 21.63/3.73 | | | | (342) all_85_3 = all_79_3
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | SIMP: (342) implies:
% 21.63/3.73 | | | | (343) all_85_3 = all_79_3
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (318), (343) imply:
% 21.63/3.73 | | | | (344) all_79_3 = 0
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (223), (301) imply:
% 21.63/3.73 | | | | (345) all_81_2 = 0
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (288), (333) imply:
% 21.63/3.73 | | | | (346) all_95_3 = 0
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | COMBINE_EQS: (289), (340) imply:
% 21.63/3.73 | | | | (347) all_95_2 = 0
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | BETA: splitting (119) gives:
% 21.63/3.73 | | | |
% 21.63/3.73 | | | | Case 1:
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | | (348) ~ (all_83_1 = 0)
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | | BETA: splitting (146) gives:
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | | Case 1:
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | (349) ~ (all_95_1 = 0)
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | REDUCE: (276), (349) imply:
% 21.63/3.73 | | | | | | (350) $false
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | CLOSE: (350) is inconsistent.
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | Case 2:
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | (351) ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ (all_95_4 = 0) |
% 21.63/3.73 | | | | | | ~ (all_95_5 = 0) | all_95_0 = 0
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | BETA: splitting (351) gives:
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | Case 1:
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | (352) ~ (all_95_2 = 0)
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | REDUCE: (347), (352) imply:
% 21.63/3.73 | | | | | | | (353) $false
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | CLOSE: (353) is inconsistent.
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | Case 2:
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | (354) ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | ~ (all_95_5 = 0)
% 21.63/3.73 | | | | | | | | all_95_0 = 0
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | BETA: splitting (354) gives:
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | Case 1:
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | (355) ~ (all_95_3 = 0)
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | REDUCE: (346), (355) imply:
% 21.63/3.73 | | | | | | | | (356) $false
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | CLOSE: (356) is inconsistent.
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | Case 2:
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | (357) ~ (all_95_4 = 0) | ~ (all_95_5 = 0) | all_95_0 = 0
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | BETA: splitting (357) gives:
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | Case 1:
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | (358) ~ (all_95_4 = 0)
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | REDUCE: (310), (358) imply:
% 21.63/3.73 | | | | | | | | | (359) $false
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | CLOSE: (359) is inconsistent.
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | Case 2:
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | (360) ~ (all_95_5 = 0) | all_95_0 = 0
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | BETA: splitting (360) gives:
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | Case 1:
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | (361) ~ (all_95_5 = 0)
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | REDUCE: (189), (361) imply:
% 21.63/3.73 | | | | | | | | | | (362) $false
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | CLOSE: (362) is inconsistent.
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | Case 2:
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | (363) all_95_0 = 0
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | COMBINE_EQS: (245), (363) imply:
% 21.63/3.73 | | | | | | | | | | (364) all_83_1 = 0
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | SIMP: (364) implies:
% 21.63/3.73 | | | | | | | | | | (365) all_83_1 = 0
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | REDUCE: (348), (365) imply:
% 21.63/3.73 | | | | | | | | | | (366) $false
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | | CLOSE: (366) is inconsistent.
% 21.63/3.73 | | | | | | | | | |
% 21.63/3.73 | | | | | | | | | End of split
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | End of split
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | End of split
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | End of split
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | End of split
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | Case 2:
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | | (367) ~ (all_83_2 = 0) | ~ (all_83_3 = 0) | ~ (all_83_4 = 0) |
% 21.63/3.73 | | | | | ~ (all_83_5 = 0) | all_83_0 = 0
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | | BETA: splitting (367) gives:
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | | Case 1:
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | (368) ~ (all_83_2 = 0)
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | REDUCE: (309), (368) imply:
% 21.63/3.73 | | | | | | (369) $false
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | CLOSE: (369) is inconsistent.
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | Case 2:
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | (370) ~ (all_83_3 = 0) | ~ (all_83_4 = 0) | ~ (all_83_5 = 0) |
% 21.63/3.73 | | | | | | all_83_0 = 0
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | BETA: splitting (370) gives:
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | | Case 1:
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | (371) ~ (all_83_3 = 0)
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | REDUCE: (322), (371) imply:
% 21.63/3.73 | | | | | | | (372) $false
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | CLOSE: (372) is inconsistent.
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | Case 2:
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | (373) ~ (all_83_4 = 0) | ~ (all_83_5 = 0) | all_83_0 = 0
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | BETA: splitting (373) gives:
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | | Case 1:
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | (374) ~ (all_83_4 = 0)
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | REDUCE: (223), (374) imply:
% 21.63/3.73 | | | | | | | | (375) $false
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | CLOSE: (375) is inconsistent.
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | Case 2:
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | (376) ~ (all_83_5 = 0) | all_83_0 = 0
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | BETA: splitting (376) gives:
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | | Case 1:
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | (377) ~ (all_83_5 = 0)
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | REDUCE: (340), (377) imply:
% 21.63/3.73 | | | | | | | | | (378) $false
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | CLOSE: (378) is inconsistent.
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | Case 2:
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | (379) all_83_0 = 0
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | COMBINE_EQS: (246), (379) imply:
% 21.63/3.73 | | | | | | | | | (380) all_46_0 = 0
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | REDUCE: (31), (380) imply:
% 21.63/3.73 | | | | | | | | | (381) $false
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | | CLOSE: (381) is inconsistent.
% 21.63/3.73 | | | | | | | | |
% 21.63/3.73 | | | | | | | | End of split
% 21.63/3.73 | | | | | | | |
% 21.63/3.73 | | | | | | | End of split
% 21.63/3.73 | | | | | | |
% 21.63/3.73 | | | | | | End of split
% 21.63/3.73 | | | | | |
% 21.63/3.73 | | | | | End of split
% 21.63/3.73 | | | | |
% 21.63/3.73 | | | | End of split
% 21.63/3.73 | | | |
% 21.63/3.73 | | | End of split
% 21.63/3.73 | | |
% 21.63/3.73 | | End of split
% 21.63/3.73 | |
% 21.63/3.73 | End of split
% 21.63/3.73 |
% 21.63/3.73 End of proof
% 21.63/3.73 % SZS output end Proof for theBenchmark
% 21.63/3.73
% 21.63/3.73 3075ms
%------------------------------------------------------------------------------