TSTP Solution File: SET623+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET623+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.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 15:25:42 EDT 2023
% Result : Theorem 47.17s 7.10s
% Output : Proof 134.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET623+3 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Aug 26 14:14:48 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.60 ________ _____
% 0.16/0.60 ___ __ \_________(_)________________________________
% 0.16/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.16/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.16/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.16/0.60
% 0.16/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.60 (2023-06-19)
% 0.16/0.60
% 0.16/0.60 (c) Philipp Rümmer, 2009-2023
% 0.16/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.60 Amanda Stjerna.
% 0.16/0.60 Free software under BSD-3-Clause.
% 0.16/0.60
% 0.16/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.60
% 0.16/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.16/0.61 Running up to 7 provers in parallel.
% 0.60/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.60/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.60/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.60/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.60/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.60/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.60/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.53/1.12 Prover 1: Preprocessing ...
% 2.53/1.12 Prover 4: Preprocessing ...
% 3.01/1.19 Prover 5: Preprocessing ...
% 3.01/1.19 Prover 3: Preprocessing ...
% 3.01/1.19 Prover 2: Preprocessing ...
% 3.01/1.19 Prover 0: Preprocessing ...
% 3.01/1.19 Prover 6: Preprocessing ...
% 5.93/1.62 Prover 1: Warning: ignoring some quantifiers
% 5.93/1.64 Prover 3: Warning: ignoring some quantifiers
% 5.93/1.66 Prover 5: Proving ...
% 5.93/1.66 Prover 6: Proving ...
% 5.93/1.66 Prover 3: Constructing countermodel ...
% 5.93/1.67 Prover 1: Constructing countermodel ...
% 6.51/1.69 Prover 4: Warning: ignoring some quantifiers
% 6.51/1.73 Prover 0: Proving ...
% 6.51/1.75 Prover 4: Constructing countermodel ...
% 6.51/1.76 Prover 2: Proving ...
% 8.18/1.94 Prover 1: gave up
% 8.18/1.94 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.18/1.95 Prover 3: gave up
% 8.18/1.96 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.75/2.00 Prover 8: Preprocessing ...
% 8.75/2.00 Prover 7: Preprocessing ...
% 9.36/2.14 Prover 8: Warning: ignoring some quantifiers
% 9.36/2.17 Prover 8: Constructing countermodel ...
% 9.36/2.19 Prover 7: Warning: ignoring some quantifiers
% 9.36/2.21 Prover 7: Constructing countermodel ...
% 11.18/2.37 Prover 8: gave up
% 11.18/2.37 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 11.81/2.43 Prover 9: Preprocessing ...
% 13.47/2.71 Prover 9: Warning: ignoring some quantifiers
% 14.03/2.72 Prover 9: Constructing countermodel ...
% 47.17/7.10 Prover 0: proved (6454ms)
% 47.17/7.10
% 47.17/7.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.17/7.10
% 47.17/7.10 Prover 9: stopped
% 47.17/7.10 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 47.17/7.10 Prover 6: stopped
% 47.17/7.10 Prover 2: stopped
% 47.17/7.11 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 47.17/7.11 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 47.17/7.11 Prover 5: stopped
% 47.17/7.11 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 47.17/7.12 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 47.17/7.14 Prover 13: Preprocessing ...
% 47.17/7.14 Prover 10: Preprocessing ...
% 47.17/7.15 Prover 11: Preprocessing ...
% 47.17/7.16 Prover 16: Preprocessing ...
% 47.78/7.23 Prover 19: Preprocessing ...
% 47.78/7.26 Prover 13: Warning: ignoring some quantifiers
% 47.78/7.26 Prover 13: Constructing countermodel ...
% 47.78/7.27 Prover 10: Warning: ignoring some quantifiers
% 47.78/7.28 Prover 10: Constructing countermodel ...
% 48.50/7.34 Prover 16: Warning: ignoring some quantifiers
% 48.50/7.34 Prover 10: gave up
% 48.50/7.34 Prover 16: Constructing countermodel ...
% 48.50/7.35 Prover 11: Warning: ignoring some quantifiers
% 49.18/7.36 Prover 11: Constructing countermodel ...
% 49.18/7.36 Prover 13: gave up
% 49.18/7.38 Prover 19: Warning: ignoring some quantifiers
% 49.32/7.38 Prover 19: Constructing countermodel ...
% 49.75/7.46 Prover 19: gave up
% 49.75/7.49 Prover 16: gave up
% 127.95/26.02 Prover 7: stopped
% 132.10/27.60 Prover 4: Found proof (size 558)
% 132.10/27.60 Prover 4: proved (26962ms)
% 132.41/27.60 Prover 11: stopped
% 132.41/27.60
% 132.41/27.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 132.41/27.60
% 132.86/27.82 % SZS output start Proof for theBenchmark
% 132.86/27.82 Assumptions after simplification:
% 132.86/27.82 ---------------------------------
% 132.86/27.82
% 132.86/27.82 (associativity_of_intersection)
% 132.86/27.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 132.86/27.85 (intersection(v3, v2) = v4) | ~ (intersection(v0, v1) = v3) | ~ $i(v2) |
% 132.86/27.85 ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (intersection(v1, v2) = v5 &
% 132.86/27.85 intersection(v0, v5) = v4 & $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i]
% 132.86/27.85 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (intersection(v1, v2) = v3) |
% 132.86/27.85 ~ (intersection(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 132.86/27.85 $i] : (intersection(v5, v2) = v4 & intersection(v0, v1) = v5 & $i(v5) &
% 132.86/27.85 $i(v4)))
% 132.86/27.85
% 132.86/27.85 (associativity_of_union)
% 133.08/27.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 133.08/27.86 (union(v3, v2) = v4) | ~ (union(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 133.08/27.86 $i(v0) | ? [v5: $i] : (union(v1, v2) = v5 & union(v0, v5) = v4 & $i(v5) &
% 133.08/27.86 $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 133.08/27.86 $i] : ( ~ (union(v1, v2) = v3) | ~ (union(v0, v3) = v4) | ~ $i(v2) | ~
% 133.08/27.86 $i(v1) | ~ $i(v0) | ? [v5: $i] : (union(v5, v2) = v4 & union(v0, v1) = v5
% 133.08/27.86 & $i(v5) & $i(v4)))
% 133.08/27.86
% 133.08/27.86 (commutativity_of_intersection)
% 133.08/27.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection(v1, v0) = v2) | ~
% 133.08/27.86 $i(v1) | ~ $i(v0) | (intersection(v0, v1) = v2 & $i(v2))) & ! [v0: $i] :
% 133.08/27.86 ! [v1: $i] : ! [v2: $i] : ( ~ (intersection(v0, v1) = v2) | ~ $i(v1) | ~
% 133.08/27.86 $i(v0) | (intersection(v1, v0) = v2 & $i(v2)))
% 133.08/27.86
% 133.08/27.86 (commutativity_of_symmetric_difference)
% 133.08/27.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (symmetric_difference(v1, v0) =
% 133.08/27.86 v2) | ~ $i(v1) | ~ $i(v0) | (symmetric_difference(v0, v1) = v2 &
% 133.08/27.87 $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 133.08/27.87 (symmetric_difference(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 133.08/27.87 (symmetric_difference(v1, v0) = v2 & $i(v2)))
% 133.08/27.87
% 133.08/27.87 (commutativity_of_union)
% 133.08/27.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v1, v0) = v2) | ~ $i(v1)
% 133.08/27.87 | ~ $i(v0) | (union(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] :
% 133.08/27.87 ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | (union(v1, v0)
% 133.08/27.87 = v2 & $i(v2)))
% 133.08/27.87
% 133.08/27.87 (difference_difference_union1)
% 133.08/27.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 133.08/27.87 $i] : ( ~ (intersection(v0, v2) = v4) | ~ (difference(v0, v1) = v3) | ~
% 133.08/27.87 (union(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 133.08/27.87 (difference(v1, v2) = v6 & difference(v0, v6) = v5 & $i(v6) & $i(v5))) & !
% 133.08/27.87 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 133.08/27.87 (difference(v1, v2) = v3) | ~ (difference(v0, v3) = v4) | ~ $i(v2) | ~
% 133.08/27.87 $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (intersection(v0, v2) = v6
% 133.08/27.87 & difference(v0, v1) = v5 & union(v5, v6) = v4 & $i(v6) & $i(v5) &
% 133.08/27.87 $i(v4)))
% 133.08/27.87
% 133.08/27.87 (difference_difference_union2)
% 133.08/27.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 133.08/27.88 (difference(v3, v2) = v4) | ~ (difference(v0, v1) = v3) | ~ $i(v2) | ~
% 133.08/27.88 $i(v1) | ~ $i(v0) | ? [v5: $i] : (difference(v0, v5) = v4 & union(v1, v2)
% 133.08/27.88 = v5 & $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 133.08/27.88 [v3: $i] : ! [v4: $i] : ( ~ (difference(v0, v3) = v4) | ~ (union(v1, v2) =
% 133.08/27.88 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (difference(v5,
% 133.08/27.88 v2) = v4 & difference(v0, v1) = v5 & $i(v5) & $i(v4)))
% 133.08/27.88
% 133.08/27.88 (difference_distributes_over_union)
% 133.08/27.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 133.08/27.88 $i] : ( ~ (difference(v1, v2) = v4) | ~ (difference(v0, v2) = v3) | ~
% 133.08/27.88 (union(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 133.08/27.88 (difference(v6, v2) = v5 & union(v0, v1) = v6 & $i(v6) & $i(v5))) & ! [v0:
% 133.08/27.88 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 133.08/27.88 (difference(v3, v2) = v4) | ~ (union(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 133.08/27.88 | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (difference(v1, v2) = v6 &
% 133.08/27.88 difference(v0, v2) = v5 & union(v5, v6) = v4 & $i(v6) & $i(v5) & $i(v4)))
% 133.08/27.88
% 133.08/27.88 (difference_union_intersection)
% 133.08/27.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection(v0, v1) = v2) | ~
% 133.08/27.89 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 133.08/27.89 (difference(v3, v2) = v4 & difference(v1, v0) = v6 & difference(v0, v1) = v5
% 133.08/27.89 & union(v5, v6) = v4 & union(v0, v1) = v3 & $i(v6) & $i(v5) & $i(v4) &
% 133.08/27.89 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v1,
% 133.08/27.89 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 133.08/27.89 $i] : ? [v6: $i] : (intersection(v0, v1) = v4 & difference(v3, v4) = v5 &
% 133.08/27.89 difference(v0, v1) = v6 & union(v6, v2) = v5 & union(v0, v1) = v3 & $i(v6)
% 133.08/27.89 & $i(v5) & $i(v4) & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 133.08/27.89 ~ (difference(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 133.08/27.89 $i] : ? [v5: $i] : ? [v6: $i] : (intersection(v0, v1) = v4 &
% 133.08/27.89 difference(v3, v4) = v5 & difference(v1, v0) = v6 & union(v2, v6) = v5 &
% 133.08/27.89 union(v0, v1) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3))) & ! [v0: $i] :
% 133.08/27.89 ! [v1: $i] : ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 133.08/27.89 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : (intersection(v0, v1)
% 133.08/27.89 = v3 & difference(v2, v3) = v4 & difference(v1, v0) = v6 & difference(v0,
% 133.08/27.89 v1) = v5 & union(v5, v6) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 133.08/27.89
% 133.08/27.89 (prove_th99)
% 133.28/27.90 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 133.28/27.90 $i] : ? [v6: $i] : ( ~ (v6 = v4) & symmetric_difference(v3, v2) = v4 &
% 133.28/27.90 symmetric_difference(v1, v2) = v5 & symmetric_difference(v0, v5) = v6 &
% 133.28/27.90 symmetric_difference(v0, v1) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 133.28/27.90 $i(v2) & $i(v1) & $i(v0))
% 133.28/27.90
% 133.28/27.90 (symmetric_difference_defn)
% 133.28/27.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (symmetric_difference(v0, v1) =
% 133.28/27.90 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (difference(v1,
% 133.28/27.90 v0) = v4 & difference(v0, v1) = v3 & union(v3, v4) = v2 & $i(v4) &
% 133.28/27.90 $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 133.28/27.90 (difference(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 133.28/27.90 $i] : (symmetric_difference(v0, v1) = v3 & difference(v0, v1) = v4 &
% 133.28/27.90 union(v4, v2) = v3 & $i(v4) & $i(v3))) & ! [v0: $i] : ! [v1: $i] : !
% 133.28/27.90 [v2: $i] : ( ~ (difference(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i]
% 133.28/27.90 : ? [v4: $i] : (symmetric_difference(v0, v1) = v3 & difference(v1, v0) = v4
% 133.28/27.90 & union(v2, v4) = v3 & $i(v4) & $i(v3)))
% 133.28/27.90
% 133.28/27.90 (function-axioms)
% 133.28/27.91 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 133.28/27.91 [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) &
% 133.28/27.91 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 133.28/27.91 $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & !
% 133.28/27.91 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 133.28/27.91 (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0: $i]
% 133.28/27.91 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 133.28/27.91 (symmetric_difference(v3, v2) = v1) | ~ (symmetric_difference(v3, v2) =
% 133.28/27.91 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 133.28/27.91 ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] :
% 133.28/27.91 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) |
% 133.28/27.91 ~ (union(v3, v2) = v0))
% 133.28/27.91
% 133.28/27.91 Further assumptions not needed in the proof:
% 133.28/27.91 --------------------------------------------
% 133.28/27.91 equal_defn, equal_member_defn, reflexivity_of_subset, subset_defn
% 133.28/27.91
% 133.28/27.91 Those formulas are unsatisfiable:
% 133.28/27.91 ---------------------------------
% 133.28/27.91
% 133.28/27.91 Begin of proof
% 133.28/27.92 |
% 133.28/27.92 | ALPHA: (symmetric_difference_defn) implies:
% 133.28/27.92 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v0, v1) = v2)
% 133.28/27.92 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 133.28/27.92 | (symmetric_difference(v0, v1) = v3 & difference(v1, v0) = v4 &
% 133.28/27.92 | union(v2, v4) = v3 & $i(v4) & $i(v3)))
% 133.28/27.92 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v1, v0) = v2)
% 133.28/27.92 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 133.28/27.92 | (symmetric_difference(v0, v1) = v3 & difference(v0, v1) = v4 &
% 133.28/27.92 | union(v4, v2) = v3 & $i(v4) & $i(v3)))
% 133.28/27.92 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (symmetric_difference(v0,
% 133.28/27.93 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 133.28/27.93 | (difference(v1, v0) = v4 & difference(v0, v1) = v3 & union(v3, v4) =
% 133.28/27.93 | v2 & $i(v4) & $i(v3) & $i(v2)))
% 133.28/27.93 |
% 133.28/27.93 | ALPHA: (associativity_of_union) implies:
% 133.28/27.93 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 133.28/27.93 | ~ (union(v1, v2) = v3) | ~ (union(v0, v3) = v4) | ~ $i(v2) | ~
% 133.28/27.93 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (union(v5, v2) = v4 & union(v0,
% 133.28/27.93 | v1) = v5 & $i(v5) & $i(v4)))
% 133.28/27.93 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 133.28/27.93 | ~ (union(v3, v2) = v4) | ~ (union(v0, v1) = v3) | ~ $i(v2) | ~
% 133.28/27.93 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (union(v1, v2) = v5 & union(v0,
% 133.28/27.93 | v5) = v4 & $i(v5) & $i(v4)))
% 133.28/27.93 |
% 133.28/27.93 | ALPHA: (associativity_of_intersection) implies:
% 133.28/27.93 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 133.28/27.93 | ~ (intersection(v1, v2) = v3) | ~ (intersection(v0, v3) = v4) | ~
% 133.28/27.93 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (intersection(v5, v2)
% 133.28/27.93 | = v4 & intersection(v0, v1) = v5 & $i(v5) & $i(v4)))
% 133.28/27.93 |
% 133.28/27.93 | ALPHA: (difference_difference_union1) implies:
% 133.28/27.93 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 133.28/27.93 | ~ (difference(v1, v2) = v3) | ~ (difference(v0, v3) = v4) | ~
% 133.28/27.93 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 133.28/27.93 | (intersection(v0, v2) = v6 & difference(v0, v1) = v5 & union(v5, v6)
% 133.28/27.93 | = v4 & $i(v6) & $i(v5) & $i(v4)))
% 133.28/27.93 |
% 133.28/27.93 | ALPHA: (difference_union_intersection) implies:
% 133.49/27.94 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~
% 133.49/27.94 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 133.49/27.94 | [v6: $i] : (intersection(v0, v1) = v3 & difference(v2, v3) = v4 &
% 133.49/27.94 | difference(v1, v0) = v6 & difference(v0, v1) = v5 & union(v5, v6) =
% 133.49/27.94 | v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 133.49/27.94 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v0, v1) = v2)
% 133.49/27.94 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 133.49/27.94 | ? [v6: $i] : (intersection(v0, v1) = v4 & difference(v3, v4) = v5 &
% 133.49/27.94 | difference(v1, v0) = v6 & union(v2, v6) = v5 & union(v0, v1) = v3 &
% 133.49/27.94 | $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 133.49/27.94 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v1, v0) =
% 133.49/27.94 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 133.49/27.94 | $i] : ? [v6: $i] : (intersection(v0, v1) = v4 & difference(v3,
% 133.49/27.94 | v4) = v5 & difference(v0, v1) = v6 & union(v6, v2) = v5 &
% 133.49/27.94 | union(v0, v1) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3)))
% 133.49/27.94 |
% 133.49/27.94 | ALPHA: (difference_difference_union2) implies:
% 133.49/27.95 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 133.49/27.95 | ( ~ (difference(v0, v3) = v4) | ~ (union(v1, v2) = v3) | ~ $i(v2) |
% 133.49/27.95 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (difference(v5, v2) = v4 &
% 133.49/27.95 | difference(v0, v1) = v5 & $i(v5) & $i(v4)))
% 133.49/27.95 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 133.49/27.95 | ( ~ (difference(v3, v2) = v4) | ~ (difference(v0, v1) = v3) | ~
% 133.49/27.95 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (difference(v0, v5) =
% 133.49/27.95 | v4 & union(v1, v2) = v5 & $i(v5) & $i(v4)))
% 133.49/27.95 |
% 133.49/27.95 | ALPHA: (difference_distributes_over_union) implies:
% 133.49/27.95 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 133.49/27.95 | ( ~ (difference(v3, v2) = v4) | ~ (union(v0, v1) = v3) | ~ $i(v2) |
% 133.49/27.95 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (difference(v1,
% 133.49/27.95 | v2) = v6 & difference(v0, v2) = v5 & union(v5, v6) = v4 & $i(v6)
% 133.49/27.95 | & $i(v5) & $i(v4)))
% 133.49/27.95 |
% 133.49/27.95 | ALPHA: (commutativity_of_union) implies:
% 133.49/27.95 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v1, v0) = v2) |
% 133.49/27.95 | ~ $i(v1) | ~ $i(v0) | (union(v0, v1) = v2 & $i(v2)))
% 133.49/27.95 |
% 133.49/27.95 | ALPHA: (commutativity_of_intersection) implies:
% 133.49/27.95 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection(v1, v0) =
% 133.49/27.95 | v2) | ~ $i(v1) | ~ $i(v0) | (intersection(v0, v1) = v2 &
% 133.49/27.95 | $i(v2)))
% 133.49/27.95 |
% 133.49/27.95 | ALPHA: (commutativity_of_symmetric_difference) implies:
% 133.49/27.96 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 133.49/27.96 | (symmetric_difference(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 133.49/27.96 | (symmetric_difference(v0, v1) = v2 & $i(v2)))
% 133.49/27.96 |
% 133.49/27.96 | ALPHA: (function-axioms) implies:
% 133.49/27.96 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 133.49/27.96 | (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 133.49/27.96 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 133.49/27.96 | (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 133.49/27.96 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 133.49/27.96 | (symmetric_difference(v3, v2) = v1) | ~ (symmetric_difference(v3,
% 133.49/27.96 | v2) = v0))
% 133.49/27.96 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 133.49/27.96 | (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 133.49/27.96 |
% 133.49/27.96 | DELTA: instantiating (prove_th99) with fresh symbols all_17_0, all_17_1,
% 133.49/27.96 | all_17_2, all_17_3, all_17_4, all_17_5, all_17_6 gives:
% 133.49/27.97 | (21) ~ (all_17_0 = all_17_2) & symmetric_difference(all_17_3, all_17_4) =
% 133.49/27.97 | all_17_2 & symmetric_difference(all_17_5, all_17_4) = all_17_1 &
% 133.49/27.97 | symmetric_difference(all_17_6, all_17_1) = all_17_0 &
% 133.49/27.97 | symmetric_difference(all_17_6, all_17_5) = all_17_3 & $i(all_17_0) &
% 133.49/27.97 | $i(all_17_1) & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) &
% 133.49/27.97 | $i(all_17_5) & $i(all_17_6)
% 133.49/27.97 |
% 133.49/27.97 | ALPHA: (21) implies:
% 133.49/27.97 | (22) ~ (all_17_0 = all_17_2)
% 133.49/27.97 | (23) $i(all_17_6)
% 133.49/27.97 | (24) $i(all_17_5)
% 133.49/27.97 | (25) $i(all_17_4)
% 133.49/27.97 | (26) $i(all_17_1)
% 133.49/27.97 | (27) symmetric_difference(all_17_6, all_17_5) = all_17_3
% 133.49/27.97 | (28) symmetric_difference(all_17_6, all_17_1) = all_17_0
% 133.49/27.97 | (29) symmetric_difference(all_17_5, all_17_4) = all_17_1
% 133.49/27.97 | (30) symmetric_difference(all_17_3, all_17_4) = all_17_2
% 133.49/27.97 |
% 133.49/27.97 | GROUND_INST: instantiating (16) with all_17_5, all_17_6, all_17_3, simplifying
% 133.49/27.97 | with (23), (24), (27) gives:
% 133.49/27.97 | (31) symmetric_difference(all_17_5, all_17_6) = all_17_3 & $i(all_17_3)
% 133.49/27.97 |
% 133.49/27.97 | ALPHA: (31) implies:
% 133.49/27.97 | (32) $i(all_17_3)
% 133.49/27.97 | (33) symmetric_difference(all_17_5, all_17_6) = all_17_3
% 133.49/27.97 |
% 133.49/27.97 | GROUND_INST: instantiating (3) with all_17_6, all_17_5, all_17_3, simplifying
% 133.49/27.97 | with (23), (24), (27) gives:
% 133.49/27.97 | (34) ? [v0: $i] : ? [v1: $i] : (difference(all_17_5, all_17_6) = v1 &
% 133.49/27.97 | difference(all_17_6, all_17_5) = v0 & union(v0, v1) = all_17_3 &
% 133.49/27.97 | $i(v1) & $i(v0) & $i(all_17_3))
% 133.49/27.97 |
% 133.49/27.97 | GROUND_INST: instantiating (16) with all_17_1, all_17_6, all_17_0, simplifying
% 133.49/27.97 | with (23), (26), (28) gives:
% 133.49/27.97 | (35) symmetric_difference(all_17_1, all_17_6) = all_17_0 & $i(all_17_0)
% 133.49/27.97 |
% 133.49/27.97 | ALPHA: (35) implies:
% 133.49/27.98 | (36) symmetric_difference(all_17_1, all_17_6) = all_17_0
% 133.49/27.98 |
% 133.49/27.98 | GROUND_INST: instantiating (3) with all_17_6, all_17_1, all_17_0, simplifying
% 133.49/27.98 | with (23), (26), (28) gives:
% 133.49/27.98 | (37) ? [v0: $i] : ? [v1: $i] : (difference(all_17_1, all_17_6) = v1 &
% 133.49/27.98 | difference(all_17_6, all_17_1) = v0 & union(v0, v1) = all_17_0 &
% 133.49/27.98 | $i(v1) & $i(v0) & $i(all_17_0))
% 133.49/27.98 |
% 133.49/27.98 | GROUND_INST: instantiating (16) with all_17_4, all_17_5, all_17_1, simplifying
% 133.49/27.98 | with (24), (25), (29) gives:
% 133.49/27.98 | (38) symmetric_difference(all_17_4, all_17_5) = all_17_1 & $i(all_17_1)
% 133.49/27.98 |
% 133.49/27.98 | ALPHA: (38) implies:
% 133.49/27.98 | (39) symmetric_difference(all_17_4, all_17_5) = all_17_1
% 133.49/27.98 |
% 133.49/27.98 | GROUND_INST: instantiating (3) with all_17_5, all_17_4, all_17_1, simplifying
% 133.49/27.98 | with (24), (25), (29) gives:
% 133.49/27.98 | (40) ? [v0: $i] : ? [v1: $i] : (difference(all_17_4, all_17_5) = v1 &
% 133.49/27.98 | difference(all_17_5, all_17_4) = v0 & union(v0, v1) = all_17_1 &
% 133.49/27.98 | $i(v1) & $i(v0) & $i(all_17_1))
% 133.49/27.98 |
% 133.49/27.98 | GROUND_INST: instantiating (16) with all_17_4, all_17_3, all_17_2, simplifying
% 133.49/27.98 | with (25), (30), (32) gives:
% 133.49/27.98 | (41) symmetric_difference(all_17_4, all_17_3) = all_17_2 & $i(all_17_2)
% 133.49/27.98 |
% 133.49/27.98 | ALPHA: (41) implies:
% 133.49/27.98 | (42) symmetric_difference(all_17_4, all_17_3) = all_17_2
% 133.49/27.98 |
% 133.49/27.98 | GROUND_INST: instantiating (3) with all_17_3, all_17_4, all_17_2, simplifying
% 133.49/27.98 | with (25), (30), (32) gives:
% 133.49/27.98 | (43) ? [v0: $i] : ? [v1: $i] : (difference(all_17_3, all_17_4) = v0 &
% 133.49/27.98 | difference(all_17_4, all_17_3) = v1 & union(v0, v1) = all_17_2 &
% 133.49/27.98 | $i(v1) & $i(v0) & $i(all_17_2))
% 133.49/27.98 |
% 133.49/27.98 | DELTA: instantiating (40) with fresh symbols all_25_0, all_25_1 gives:
% 133.49/27.98 | (44) difference(all_17_4, all_17_5) = all_25_0 & difference(all_17_5,
% 133.49/27.98 | all_17_4) = all_25_1 & union(all_25_1, all_25_0) = all_17_1 &
% 133.49/27.98 | $i(all_25_0) & $i(all_25_1) & $i(all_17_1)
% 133.49/27.99 |
% 133.49/27.99 | ALPHA: (44) implies:
% 133.49/27.99 | (45) $i(all_25_1)
% 133.49/27.99 | (46) $i(all_25_0)
% 133.49/27.99 | (47) union(all_25_1, all_25_0) = all_17_1
% 133.49/27.99 | (48) difference(all_17_5, all_17_4) = all_25_1
% 133.49/27.99 | (49) difference(all_17_4, all_17_5) = all_25_0
% 133.49/27.99 |
% 133.49/27.99 | DELTA: instantiating (34) with fresh symbols all_27_0, all_27_1 gives:
% 133.49/27.99 | (50) difference(all_17_5, all_17_6) = all_27_0 & difference(all_17_6,
% 133.49/27.99 | all_17_5) = all_27_1 & union(all_27_1, all_27_0) = all_17_3 &
% 133.49/27.99 | $i(all_27_0) & $i(all_27_1) & $i(all_17_3)
% 133.49/27.99 |
% 133.49/27.99 | ALPHA: (50) implies:
% 133.49/27.99 | (51) $i(all_27_1)
% 133.49/27.99 | (52) $i(all_27_0)
% 133.49/27.99 | (53) union(all_27_1, all_27_0) = all_17_3
% 133.49/27.99 | (54) difference(all_17_6, all_17_5) = all_27_1
% 133.49/27.99 | (55) difference(all_17_5, all_17_6) = all_27_0
% 133.49/27.99 |
% 133.49/27.99 | DELTA: instantiating (43) with fresh symbols all_29_0, all_29_1 gives:
% 133.49/27.99 | (56) difference(all_17_3, all_17_4) = all_29_1 & difference(all_17_4,
% 133.49/27.99 | all_17_3) = all_29_0 & union(all_29_1, all_29_0) = all_17_2 &
% 133.49/27.99 | $i(all_29_0) & $i(all_29_1) & $i(all_17_2)
% 133.49/27.99 |
% 133.49/27.99 | ALPHA: (56) implies:
% 133.49/27.99 | (57) difference(all_17_4, all_17_3) = all_29_0
% 133.49/27.99 | (58) difference(all_17_3, all_17_4) = all_29_1
% 133.49/27.99 |
% 133.49/27.99 | DELTA: instantiating (37) with fresh symbols all_31_0, all_31_1 gives:
% 133.49/27.99 | (59) difference(all_17_1, all_17_6) = all_31_0 & difference(all_17_6,
% 133.49/27.99 | all_17_1) = all_31_1 & union(all_31_1, all_31_0) = all_17_0 &
% 133.49/27.99 | $i(all_31_0) & $i(all_31_1) & $i(all_17_0)
% 133.49/27.99 |
% 133.49/27.99 | ALPHA: (59) implies:
% 133.49/27.99 | (60) $i(all_31_1)
% 133.49/27.99 | (61) $i(all_31_0)
% 133.49/27.99 | (62) union(all_31_1, all_31_0) = all_17_0
% 133.49/27.99 | (63) difference(all_17_6, all_17_1) = all_31_1
% 133.49/27.99 | (64) difference(all_17_1, all_17_6) = all_31_0
% 133.49/27.99 |
% 133.49/27.99 | GROUND_INST: instantiating (14) with all_25_0, all_25_1, all_17_1, simplifying
% 133.49/27.99 | with (45), (46), (47) gives:
% 133.49/27.99 | (65) union(all_25_0, all_25_1) = all_17_1 & $i(all_17_1)
% 133.49/27.99 |
% 133.49/27.99 | GROUND_INST: instantiating (14) with all_27_0, all_27_1, all_17_3, simplifying
% 133.49/27.99 | with (51), (52), (53) gives:
% 133.49/28.00 | (66) union(all_27_0, all_27_1) = all_17_3 & $i(all_17_3)
% 133.49/28.00 |
% 133.49/28.00 | GROUND_INST: instantiating (8) with all_31_1, all_31_0, all_17_0, simplifying
% 133.49/28.00 | with (60), (61), (62) gives:
% 133.76/28.00 | (67) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.00 | (intersection(all_31_1, all_31_0) = v0 & difference(all_31_0,
% 133.76/28.00 | all_31_1) = v3 & difference(all_31_1, all_31_0) = v2 &
% 133.76/28.00 | difference(all_17_0, v0) = v1 & union(v2, v3) = v1 & $i(v3) & $i(v2)
% 133.76/28.00 | & $i(v1) & $i(v0))
% 133.76/28.00 |
% 133.76/28.00 | GROUND_INST: instantiating (10) with all_17_5, all_17_6, all_27_1, simplifying
% 133.76/28.00 | with (23), (24), (54) gives:
% 133.76/28.00 | (68) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.00 | (intersection(all_17_5, all_17_6) = v1 & difference(v0, v1) = v2 &
% 133.76/28.00 | difference(all_17_5, all_17_6) = v3 & union(v3, all_27_1) = v2 &
% 133.76/28.00 | union(all_17_5, all_17_6) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.00 |
% 133.76/28.00 | GROUND_INST: instantiating (2) with all_17_5, all_17_6, all_27_1, simplifying
% 133.76/28.00 | with (23), (24), (54) gives:
% 133.76/28.00 | (69) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_5, all_17_6)
% 133.76/28.00 | = v0 & difference(all_17_5, all_17_6) = v1 & union(v1, all_27_1) =
% 133.76/28.00 | v0 & $i(v1) & $i(v0))
% 133.76/28.00 |
% 133.76/28.00 | GROUND_INST: instantiating (9) with all_17_6, all_17_5, all_27_1, simplifying
% 133.76/28.00 | with (23), (24), (54) gives:
% 133.76/28.00 | (70) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.00 | (intersection(all_17_6, all_17_5) = v1 & difference(v0, v1) = v2 &
% 133.76/28.00 | difference(all_17_5, all_17_6) = v3 & union(all_27_1, v3) = v2 &
% 133.76/28.00 | union(all_17_6, all_17_5) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.00 |
% 133.76/28.00 | GROUND_INST: instantiating (11) with all_17_6, all_25_1, all_25_0, all_17_1,
% 133.76/28.00 | all_31_1, simplifying with (23), (45), (46), (47), (63) gives:
% 133.76/28.01 | (71) ? [v0: $i] : (difference(v0, all_25_0) = all_31_1 &
% 133.76/28.01 | difference(all_17_6, all_25_1) = v0 & $i(v0) & $i(all_31_1))
% 133.76/28.01 |
% 133.76/28.01 | GROUND_INST: instantiating (10) with all_17_1, all_17_6, all_31_1, simplifying
% 133.76/28.01 | with (23), (26), (63) gives:
% 133.76/28.01 | (72) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.01 | (intersection(all_17_1, all_17_6) = v1 & difference(v0, v1) = v2 &
% 133.76/28.01 | difference(all_17_1, all_17_6) = v3 & union(v3, all_31_1) = v2 &
% 133.76/28.01 | union(all_17_1, all_17_6) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.01 |
% 133.76/28.01 | GROUND_INST: instantiating (2) with all_17_1, all_17_6, all_31_1, simplifying
% 133.76/28.01 | with (23), (26), (63) gives:
% 133.76/28.01 | (73) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_1, all_17_6)
% 133.76/28.01 | = v0 & difference(all_17_1, all_17_6) = v1 & union(v1, all_31_1) =
% 133.76/28.01 | v0 & $i(v1) & $i(v0))
% 133.76/28.01 |
% 133.76/28.01 | GROUND_INST: instantiating (9) with all_17_6, all_17_1, all_31_1, simplifying
% 133.76/28.01 | with (23), (26), (63) gives:
% 133.76/28.01 | (74) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.01 | (intersection(all_17_6, all_17_1) = v1 & difference(v0, v1) = v2 &
% 133.76/28.01 | difference(all_17_1, all_17_6) = v3 & union(all_31_1, v3) = v2 &
% 133.76/28.01 | union(all_17_6, all_17_1) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.01 |
% 133.76/28.01 | GROUND_INST: instantiating (10) with all_17_6, all_17_5, all_27_0, simplifying
% 133.76/28.01 | with (23), (24), (55) gives:
% 133.76/28.01 | (75) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.01 | (intersection(all_17_6, all_17_5) = v1 & difference(v0, v1) = v2 &
% 133.76/28.01 | difference(all_17_6, all_17_5) = v3 & union(v3, all_27_0) = v2 &
% 133.76/28.01 | union(all_17_6, all_17_5) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.01 |
% 133.76/28.01 | GROUND_INST: instantiating (9) with all_17_5, all_17_6, all_27_0, simplifying
% 133.76/28.01 | with (23), (24), (55) gives:
% 133.76/28.02 | (76) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.02 | (intersection(all_17_5, all_17_6) = v1 & difference(v0, v1) = v2 &
% 133.76/28.02 | difference(all_17_6, all_17_5) = v3 & union(all_27_0, v3) = v2 &
% 133.76/28.02 | union(all_17_5, all_17_6) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.02 |
% 133.76/28.02 | GROUND_INST: instantiating (1) with all_17_5, all_17_6, all_27_0, simplifying
% 133.76/28.02 | with (23), (24), (55) gives:
% 133.76/28.02 | (77) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_5, all_17_6)
% 133.76/28.02 | = v0 & difference(all_17_6, all_17_5) = v1 & union(all_27_0, v1) =
% 133.76/28.02 | v0 & $i(v1) & $i(v0))
% 133.76/28.02 |
% 133.76/28.02 | GROUND_INST: instantiating (10) with all_17_4, all_17_5, all_25_1, simplifying
% 133.76/28.02 | with (24), (25), (48) gives:
% 133.76/28.02 | (78) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.02 | (intersection(all_17_4, all_17_5) = v1 & difference(v0, v1) = v2 &
% 133.76/28.02 | difference(all_17_4, all_17_5) = v3 & union(v3, all_25_1) = v2 &
% 133.76/28.02 | union(all_17_4, all_17_5) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.02 |
% 133.76/28.02 | GROUND_INST: instantiating (2) with all_17_4, all_17_5, all_25_1, simplifying
% 133.76/28.02 | with (24), (25), (48) gives:
% 133.76/28.02 | (79) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_4, all_17_5)
% 133.76/28.02 | = v0 & difference(all_17_4, all_17_5) = v1 & union(v1, all_25_1) =
% 133.76/28.02 | v0 & $i(v1) & $i(v0))
% 133.76/28.02 |
% 133.76/28.02 | GROUND_INST: instantiating (9) with all_17_5, all_17_4, all_25_1, simplifying
% 133.76/28.02 | with (24), (25), (48) gives:
% 133.76/28.02 | (80) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.02 | (intersection(all_17_5, all_17_4) = v1 & difference(v0, v1) = v2 &
% 133.76/28.02 | difference(all_17_4, all_17_5) = v3 & union(all_25_1, v3) = v2 &
% 133.76/28.02 | union(all_17_5, all_17_4) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.02 |
% 133.76/28.02 | GROUND_INST: instantiating (10) with all_17_5, all_17_4, all_25_0, simplifying
% 133.76/28.02 | with (24), (25), (49) gives:
% 133.76/28.03 | (81) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.03 | (intersection(all_17_5, all_17_4) = v1 & difference(v0, v1) = v2 &
% 133.76/28.03 | difference(all_17_5, all_17_4) = v3 & union(v3, all_25_0) = v2 &
% 133.76/28.03 | union(all_17_5, all_17_4) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.03 |
% 133.76/28.03 | GROUND_INST: instantiating (9) with all_17_4, all_17_5, all_25_0, simplifying
% 133.76/28.03 | with (24), (25), (49) gives:
% 133.76/28.03 | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.03 | (intersection(all_17_4, all_17_5) = v1 & difference(v0, v1) = v2 &
% 133.76/28.03 | difference(all_17_5, all_17_4) = v3 & union(all_25_0, v3) = v2 &
% 133.76/28.03 | union(all_17_4, all_17_5) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.03 |
% 133.76/28.03 | GROUND_INST: instantiating (1) with all_17_4, all_17_5, all_25_0, simplifying
% 133.76/28.03 | with (24), (25), (49) gives:
% 133.76/28.03 | (83) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_4, all_17_5)
% 133.76/28.03 | = v0 & difference(all_17_5, all_17_4) = v1 & union(all_25_0, v1) =
% 133.76/28.03 | v0 & $i(v1) & $i(v0))
% 133.76/28.03 |
% 133.76/28.03 | GROUND_INST: instantiating (11) with all_17_4, all_27_1, all_27_0, all_17_3,
% 133.76/28.03 | all_29_0, simplifying with (25), (51), (52), (53), (57) gives:
% 133.76/28.03 | (84) ? [v0: $i] : (difference(v0, all_27_0) = all_29_0 &
% 133.76/28.03 | difference(all_17_4, all_27_1) = v0 & $i(v0) & $i(all_29_0))
% 133.76/28.03 |
% 133.76/28.03 | GROUND_INST: instantiating (10) with all_17_3, all_17_4, all_29_0, simplifying
% 133.76/28.03 | with (25), (32), (57) gives:
% 133.76/28.03 | (85) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.03 | (intersection(all_17_3, all_17_4) = v1 & difference(v0, v1) = v2 &
% 133.76/28.03 | difference(all_17_3, all_17_4) = v3 & union(v3, all_29_0) = v2 &
% 133.76/28.03 | union(all_17_3, all_17_4) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.03 |
% 133.76/28.03 | GROUND_INST: instantiating (9) with all_17_4, all_17_3, all_29_0, simplifying
% 133.76/28.03 | with (25), (32), (57) gives:
% 133.76/28.04 | (86) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.04 | (intersection(all_17_4, all_17_3) = v1 & difference(v0, v1) = v2 &
% 133.76/28.04 | difference(all_17_3, all_17_4) = v3 & union(all_29_0, v3) = v2 &
% 133.76/28.04 | union(all_17_4, all_17_3) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.04 |
% 133.76/28.04 | GROUND_INST: instantiating (1) with all_17_4, all_17_3, all_29_0, simplifying
% 133.76/28.04 | with (25), (32), (57) gives:
% 133.76/28.04 | (87) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_4, all_17_3)
% 133.76/28.04 | = v0 & difference(all_17_3, all_17_4) = v1 & union(all_29_0, v1) =
% 133.76/28.04 | v0 & $i(v1) & $i(v0))
% 133.76/28.04 |
% 133.76/28.04 | GROUND_INST: instantiating (13) with all_27_1, all_27_0, all_17_4, all_17_3,
% 133.76/28.04 | all_29_1, simplifying with (25), (51), (52), (53), (58) gives:
% 133.76/28.04 | (88) ? [v0: $i] : ? [v1: $i] : (difference(all_27_0, all_17_4) = v1 &
% 133.76/28.04 | difference(all_27_1, all_17_4) = v0 & union(v0, v1) = all_29_1 &
% 133.76/28.04 | $i(v1) & $i(v0) & $i(all_29_1))
% 133.76/28.04 |
% 133.76/28.04 | GROUND_INST: instantiating (10) with all_17_4, all_17_3, all_29_1, simplifying
% 133.76/28.04 | with (25), (32), (58) gives:
% 133.76/28.04 | (89) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.04 | (intersection(all_17_4, all_17_3) = v1 & difference(v0, v1) = v2 &
% 133.76/28.04 | difference(all_17_4, all_17_3) = v3 & union(v3, all_29_1) = v2 &
% 133.76/28.04 | union(all_17_4, all_17_3) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.04 |
% 133.76/28.04 | GROUND_INST: instantiating (2) with all_17_4, all_17_3, all_29_1, simplifying
% 133.76/28.04 | with (25), (32), (58) gives:
% 133.76/28.04 | (90) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_4, all_17_3)
% 133.76/28.04 | = v0 & difference(all_17_4, all_17_3) = v1 & union(v1, all_29_1) =
% 133.76/28.04 | v0 & $i(v1) & $i(v0))
% 133.76/28.04 |
% 133.76/28.04 | GROUND_INST: instantiating (9) with all_17_3, all_17_4, all_29_1, simplifying
% 133.76/28.04 | with (25), (32), (58) gives:
% 133.76/28.04 | (91) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.04 | (intersection(all_17_3, all_17_4) = v1 & difference(v0, v1) = v2 &
% 133.76/28.04 | difference(all_17_4, all_17_3) = v3 & union(all_29_1, v3) = v2 &
% 133.76/28.04 | union(all_17_3, all_17_4) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.04 |
% 133.76/28.05 | GROUND_INST: instantiating (13) with all_25_1, all_25_0, all_17_6, all_17_1,
% 133.76/28.05 | all_31_0, simplifying with (23), (45), (46), (47), (64) gives:
% 133.76/28.05 | (92) ? [v0: $i] : ? [v1: $i] : (difference(all_25_0, all_17_6) = v1 &
% 133.76/28.05 | difference(all_25_1, all_17_6) = v0 & union(v0, v1) = all_31_0 &
% 133.76/28.05 | $i(v1) & $i(v0) & $i(all_31_0))
% 133.76/28.05 |
% 133.76/28.05 | GROUND_INST: instantiating (10) with all_17_6, all_17_1, all_31_0, simplifying
% 133.76/28.05 | with (23), (26), (64) gives:
% 133.76/28.05 | (93) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.05 | (intersection(all_17_6, all_17_1) = v1 & difference(v0, v1) = v2 &
% 133.76/28.05 | difference(all_17_6, all_17_1) = v3 & union(v3, all_31_0) = v2 &
% 133.76/28.05 | union(all_17_6, all_17_1) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.05 |
% 133.76/28.05 | GROUND_INST: instantiating (9) with all_17_1, all_17_6, all_31_0, simplifying
% 133.76/28.05 | with (23), (26), (64) gives:
% 133.76/28.05 | (94) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 133.76/28.05 | (intersection(all_17_1, all_17_6) = v1 & difference(v0, v1) = v2 &
% 133.76/28.05 | difference(all_17_6, all_17_1) = v3 & union(all_31_0, v3) = v2 &
% 133.76/28.05 | union(all_17_1, all_17_6) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 133.76/28.05 |
% 133.76/28.05 | GROUND_INST: instantiating (1) with all_17_1, all_17_6, all_31_0, simplifying
% 133.76/28.05 | with (23), (26), (64) gives:
% 133.76/28.05 | (95) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_1, all_17_6)
% 133.76/28.05 | = v0 & difference(all_17_6, all_17_1) = v1 & union(all_31_0, v1) =
% 133.76/28.05 | v0 & $i(v1) & $i(v0))
% 133.76/28.05 |
% 133.76/28.05 | GROUND_INST: instantiating (3) with all_17_5, all_17_6, all_17_3, simplifying
% 133.76/28.05 | with (23), (24), (33) gives:
% 133.76/28.05 | (96) ? [v0: $i] : ? [v1: $i] : (difference(all_17_5, all_17_6) = v0 &
% 133.76/28.05 | difference(all_17_6, all_17_5) = v1 & union(v0, v1) = all_17_3 &
% 133.76/28.05 | $i(v1) & $i(v0) & $i(all_17_3))
% 133.76/28.05 |
% 133.76/28.05 | GROUND_INST: instantiating (3) with all_17_4, all_17_5, all_17_1, simplifying
% 133.76/28.05 | with (24), (25), (39) gives:
% 134.06/28.06 | (97) ? [v0: $i] : ? [v1: $i] : (difference(all_17_4, all_17_5) = v0 &
% 134.06/28.06 | difference(all_17_5, all_17_4) = v1 & union(v0, v1) = all_17_1 &
% 134.06/28.06 | $i(v1) & $i(v0) & $i(all_17_1))
% 134.06/28.06 |
% 134.06/28.06 | GROUND_INST: instantiating (3) with all_17_4, all_17_3, all_17_2, simplifying
% 134.06/28.06 | with (25), (32), (42) gives:
% 134.06/28.06 | (98) ? [v0: $i] : ? [v1: $i] : (difference(all_17_3, all_17_4) = v1 &
% 134.06/28.06 | difference(all_17_4, all_17_3) = v0 & union(v0, v1) = all_17_2 &
% 134.06/28.06 | $i(v1) & $i(v0) & $i(all_17_2))
% 134.06/28.06 |
% 134.06/28.06 | GROUND_INST: instantiating (3) with all_17_1, all_17_6, all_17_0, simplifying
% 134.06/28.06 | with (23), (26), (36) gives:
% 134.06/28.06 | (99) ? [v0: $i] : ? [v1: $i] : (difference(all_17_1, all_17_6) = v0 &
% 134.06/28.06 | difference(all_17_6, all_17_1) = v1 & union(v0, v1) = all_17_0 &
% 134.06/28.06 | $i(v1) & $i(v0) & $i(all_17_0))
% 134.06/28.06 |
% 134.06/28.06 | DELTA: instantiating (84) with fresh symbol all_39_0 gives:
% 134.06/28.06 | (100) difference(all_39_0, all_27_0) = all_29_0 & difference(all_17_4,
% 134.06/28.06 | all_27_1) = all_39_0 & $i(all_39_0) & $i(all_29_0)
% 134.06/28.06 |
% 134.06/28.06 | ALPHA: (100) implies:
% 134.06/28.06 | (101) difference(all_17_4, all_27_1) = all_39_0
% 134.06/28.06 |
% 134.06/28.06 | DELTA: instantiating (71) with fresh symbol all_41_0 gives:
% 134.06/28.06 | (102) difference(all_41_0, all_25_0) = all_31_1 & difference(all_17_6,
% 134.06/28.06 | all_25_1) = all_41_0 & $i(all_41_0) & $i(all_31_1)
% 134.06/28.06 |
% 134.06/28.06 | ALPHA: (102) implies:
% 134.06/28.06 | (103) $i(all_41_0)
% 134.06/28.06 | (104) difference(all_17_6, all_25_1) = all_41_0
% 134.06/28.06 | (105) difference(all_41_0, all_25_0) = all_31_1
% 134.06/28.06 |
% 134.06/28.06 | DELTA: instantiating (90) with fresh symbols all_43_0, all_43_1 gives:
% 134.06/28.06 | (106) symmetric_difference(all_17_4, all_17_3) = all_43_1 &
% 134.06/28.06 | difference(all_17_4, all_17_3) = all_43_0 & union(all_43_0, all_29_1)
% 134.06/28.06 | = all_43_1 & $i(all_43_0) & $i(all_43_1)
% 134.06/28.06 |
% 134.06/28.06 | ALPHA: (106) implies:
% 134.06/28.06 | (107) $i(all_43_0)
% 134.06/28.06 | (108) difference(all_17_4, all_17_3) = all_43_0
% 134.06/28.06 | (109) symmetric_difference(all_17_4, all_17_3) = all_43_1
% 134.06/28.06 |
% 134.06/28.06 | DELTA: instantiating (87) with fresh symbols all_45_0, all_45_1 gives:
% 134.06/28.06 | (110) symmetric_difference(all_17_4, all_17_3) = all_45_1 &
% 134.06/28.06 | difference(all_17_3, all_17_4) = all_45_0 & union(all_29_0, all_45_0)
% 134.06/28.06 | = all_45_1 & $i(all_45_0) & $i(all_45_1)
% 134.06/28.06 |
% 134.06/28.06 | ALPHA: (110) implies:
% 134.06/28.06 | (111) union(all_29_0, all_45_0) = all_45_1
% 134.06/28.06 | (112) difference(all_17_3, all_17_4) = all_45_0
% 134.06/28.06 | (113) symmetric_difference(all_17_4, all_17_3) = all_45_1
% 134.06/28.06 |
% 134.06/28.06 | DELTA: instantiating (69) with fresh symbols all_47_0, all_47_1 gives:
% 134.06/28.06 | (114) symmetric_difference(all_17_5, all_17_6) = all_47_1 &
% 134.06/28.06 | difference(all_17_5, all_17_6) = all_47_0 & union(all_47_0, all_27_1)
% 134.06/28.06 | = all_47_1 & $i(all_47_0) & $i(all_47_1)
% 134.06/28.06 |
% 134.06/28.06 | ALPHA: (114) implies:
% 134.06/28.06 | (115) $i(all_47_0)
% 134.06/28.06 | (116) difference(all_17_5, all_17_6) = all_47_0
% 134.06/28.06 | (117) symmetric_difference(all_17_5, all_17_6) = all_47_1
% 134.06/28.06 |
% 134.06/28.06 | DELTA: instantiating (83) with fresh symbols all_49_0, all_49_1 gives:
% 134.06/28.07 | (118) symmetric_difference(all_17_4, all_17_5) = all_49_1 &
% 134.06/28.07 | difference(all_17_5, all_17_4) = all_49_0 & union(all_25_0, all_49_0)
% 134.06/28.07 | = all_49_1 & $i(all_49_0) & $i(all_49_1)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (118) implies:
% 134.06/28.07 | (119) $i(all_49_0)
% 134.06/28.07 | (120) union(all_25_0, all_49_0) = all_49_1
% 134.06/28.07 | (121) difference(all_17_5, all_17_4) = all_49_0
% 134.06/28.07 | (122) symmetric_difference(all_17_4, all_17_5) = all_49_1
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (73) with fresh symbols all_51_0, all_51_1 gives:
% 134.06/28.07 | (123) symmetric_difference(all_17_1, all_17_6) = all_51_1 &
% 134.06/28.07 | difference(all_17_1, all_17_6) = all_51_0 & union(all_51_0, all_31_1)
% 134.06/28.07 | = all_51_1 & $i(all_51_0) & $i(all_51_1)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (123) implies:
% 134.06/28.07 | (124) difference(all_17_1, all_17_6) = all_51_0
% 134.06/28.07 | (125) symmetric_difference(all_17_1, all_17_6) = all_51_1
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (79) with fresh symbols all_53_0, all_53_1 gives:
% 134.06/28.07 | (126) symmetric_difference(all_17_4, all_17_5) = all_53_1 &
% 134.06/28.07 | difference(all_17_4, all_17_5) = all_53_0 & union(all_53_0, all_25_1)
% 134.06/28.07 | = all_53_1 & $i(all_53_0) & $i(all_53_1)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (126) implies:
% 134.06/28.07 | (127) $i(all_53_0)
% 134.06/28.07 | (128) difference(all_17_4, all_17_5) = all_53_0
% 134.06/28.07 | (129) symmetric_difference(all_17_4, all_17_5) = all_53_1
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (77) with fresh symbols all_55_0, all_55_1 gives:
% 134.06/28.07 | (130) symmetric_difference(all_17_5, all_17_6) = all_55_1 &
% 134.06/28.07 | difference(all_17_6, all_17_5) = all_55_0 & union(all_27_0, all_55_0)
% 134.06/28.07 | = all_55_1 & $i(all_55_0) & $i(all_55_1)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (130) implies:
% 134.06/28.07 | (131) $i(all_55_0)
% 134.06/28.07 | (132) union(all_27_0, all_55_0) = all_55_1
% 134.06/28.07 | (133) difference(all_17_6, all_17_5) = all_55_0
% 134.06/28.07 | (134) symmetric_difference(all_17_5, all_17_6) = all_55_1
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (95) with fresh symbols all_57_0, all_57_1 gives:
% 134.06/28.07 | (135) symmetric_difference(all_17_1, all_17_6) = all_57_1 &
% 134.06/28.07 | difference(all_17_6, all_17_1) = all_57_0 & union(all_31_0, all_57_0)
% 134.06/28.07 | = all_57_1 & $i(all_57_0) & $i(all_57_1)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (135) implies:
% 134.06/28.07 | (136) $i(all_57_0)
% 134.06/28.07 | (137) union(all_31_0, all_57_0) = all_57_1
% 134.06/28.07 | (138) difference(all_17_6, all_17_1) = all_57_0
% 134.06/28.07 | (139) symmetric_difference(all_17_1, all_17_6) = all_57_1
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (99) with fresh symbols all_59_0, all_59_1 gives:
% 134.06/28.07 | (140) difference(all_17_1, all_17_6) = all_59_1 & difference(all_17_6,
% 134.06/28.07 | all_17_1) = all_59_0 & union(all_59_1, all_59_0) = all_17_0 &
% 134.06/28.07 | $i(all_59_0) & $i(all_59_1) & $i(all_17_0)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (140) implies:
% 134.06/28.07 | (141) difference(all_17_6, all_17_1) = all_59_0
% 134.06/28.07 | (142) difference(all_17_1, all_17_6) = all_59_1
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (88) with fresh symbols all_61_0, all_61_1 gives:
% 134.06/28.07 | (143) difference(all_27_0, all_17_4) = all_61_0 & difference(all_27_1,
% 134.06/28.07 | all_17_4) = all_61_1 & union(all_61_1, all_61_0) = all_29_1 &
% 134.06/28.07 | $i(all_61_0) & $i(all_61_1) & $i(all_29_1)
% 134.06/28.07 |
% 134.06/28.07 | ALPHA: (143) implies:
% 134.06/28.07 | (144) $i(all_61_1)
% 134.06/28.07 | (145) $i(all_61_0)
% 134.06/28.07 | (146) union(all_61_1, all_61_0) = all_29_1
% 134.06/28.07 | (147) difference(all_27_1, all_17_4) = all_61_1
% 134.06/28.07 | (148) difference(all_27_0, all_17_4) = all_61_0
% 134.06/28.07 |
% 134.06/28.07 | DELTA: instantiating (98) with fresh symbols all_63_0, all_63_1 gives:
% 134.06/28.08 | (149) difference(all_17_3, all_17_4) = all_63_0 & difference(all_17_4,
% 134.06/28.08 | all_17_3) = all_63_1 & union(all_63_1, all_63_0) = all_17_2 &
% 134.06/28.08 | $i(all_63_0) & $i(all_63_1) & $i(all_17_2)
% 134.06/28.08 |
% 134.06/28.08 | ALPHA: (149) implies:
% 134.06/28.08 | (150) difference(all_17_4, all_17_3) = all_63_1
% 134.06/28.08 | (151) difference(all_17_3, all_17_4) = all_63_0
% 134.06/28.08 |
% 134.06/28.08 | DELTA: instantiating (97) with fresh symbols all_65_0, all_65_1 gives:
% 134.06/28.08 | (152) difference(all_17_4, all_17_5) = all_65_1 & difference(all_17_5,
% 134.06/28.08 | all_17_4) = all_65_0 & union(all_65_1, all_65_0) = all_17_1 &
% 134.06/28.08 | $i(all_65_0) & $i(all_65_1) & $i(all_17_1)
% 134.06/28.08 |
% 134.06/28.08 | ALPHA: (152) implies:
% 134.06/28.08 | (153) difference(all_17_5, all_17_4) = all_65_0
% 134.06/28.08 | (154) difference(all_17_4, all_17_5) = all_65_1
% 134.06/28.08 |
% 134.06/28.08 | DELTA: instantiating (96) with fresh symbols all_67_0, all_67_1 gives:
% 134.06/28.08 | (155) difference(all_17_5, all_17_6) = all_67_1 & difference(all_17_6,
% 134.06/28.08 | all_17_5) = all_67_0 & union(all_67_1, all_67_0) = all_17_3 &
% 134.06/28.08 | $i(all_67_0) & $i(all_67_1) & $i(all_17_3)
% 134.06/28.08 |
% 134.06/28.08 | ALPHA: (155) implies:
% 134.06/28.08 | (156) difference(all_17_6, all_17_5) = all_67_0
% 134.06/28.08 | (157) difference(all_17_5, all_17_6) = all_67_1
% 134.06/28.08 |
% 134.06/28.08 | DELTA: instantiating (92) with fresh symbols all_69_0, all_69_1 gives:
% 134.06/28.08 | (158) difference(all_25_0, all_17_6) = all_69_0 & difference(all_25_1,
% 134.06/28.08 | all_17_6) = all_69_1 & union(all_69_1, all_69_0) = all_31_0 &
% 134.06/28.08 | $i(all_69_0) & $i(all_69_1) & $i(all_31_0)
% 134.06/28.08 |
% 134.06/28.08 | ALPHA: (158) implies:
% 134.06/28.08 | (159) $i(all_69_1)
% 134.06/28.08 | (160) $i(all_69_0)
% 134.06/28.08 | (161) union(all_69_1, all_69_0) = all_31_0
% 134.06/28.08 | (162) difference(all_25_1, all_17_6) = all_69_1
% 134.06/28.08 | (163) difference(all_25_0, all_17_6) = all_69_0
% 134.06/28.08 |
% 134.06/28.08 | DELTA: instantiating (94) with fresh symbols all_71_0, all_71_1, all_71_2,
% 134.06/28.08 | all_71_3 gives:
% 134.06/28.08 | (164) intersection(all_17_1, all_17_6) = all_71_2 & difference(all_71_3,
% 134.06/28.08 | all_71_2) = all_71_1 & difference(all_17_6, all_17_1) = all_71_0 &
% 134.06/28.08 | union(all_31_0, all_71_0) = all_71_1 & union(all_17_1, all_17_6) =
% 134.06/28.08 | all_71_3 & $i(all_71_0) & $i(all_71_1) & $i(all_71_2) & $i(all_71_3)
% 134.06/28.08 |
% 134.06/28.08 | ALPHA: (164) implies:
% 134.06/28.08 | (165) union(all_17_1, all_17_6) = all_71_3
% 134.06/28.08 | (166) union(all_31_0, all_71_0) = all_71_1
% 134.06/28.08 | (167) difference(all_17_6, all_17_1) = all_71_0
% 134.06/28.08 | (168) difference(all_71_3, all_71_2) = all_71_1
% 134.06/28.08 | (169) intersection(all_17_1, all_17_6) = all_71_2
% 134.06/28.09 |
% 134.06/28.09 | DELTA: instantiating (76) with fresh symbols all_73_0, all_73_1, all_73_2,
% 134.06/28.09 | all_73_3 gives:
% 134.06/28.09 | (170) intersection(all_17_5, all_17_6) = all_73_2 & difference(all_73_3,
% 134.06/28.09 | all_73_2) = all_73_1 & difference(all_17_6, all_17_5) = all_73_0 &
% 134.06/28.09 | union(all_27_0, all_73_0) = all_73_1 & union(all_17_5, all_17_6) =
% 134.06/28.09 | all_73_3 & $i(all_73_0) & $i(all_73_1) & $i(all_73_2) & $i(all_73_3)
% 134.06/28.09 |
% 134.06/28.09 | ALPHA: (170) implies:
% 134.06/28.09 | (171) union(all_17_5, all_17_6) = all_73_3
% 134.06/28.09 | (172) union(all_27_0, all_73_0) = all_73_1
% 134.06/28.09 | (173) difference(all_17_6, all_17_5) = all_73_0
% 134.06/28.09 | (174) difference(all_73_3, all_73_2) = all_73_1
% 134.06/28.09 | (175) intersection(all_17_5, all_17_6) = all_73_2
% 134.06/28.09 |
% 134.06/28.09 | DELTA: instantiating (75) with fresh symbols all_75_0, all_75_1, all_75_2,
% 134.06/28.09 | all_75_3 gives:
% 134.06/28.09 | (176) intersection(all_17_6, all_17_5) = all_75_2 & difference(all_75_3,
% 134.06/28.09 | all_75_2) = all_75_1 & difference(all_17_6, all_17_5) = all_75_0 &
% 134.06/28.09 | union(all_75_0, all_27_0) = all_75_1 & union(all_17_6, all_17_5) =
% 134.06/28.09 | all_75_3 & $i(all_75_0) & $i(all_75_1) & $i(all_75_2) & $i(all_75_3)
% 134.06/28.09 |
% 134.06/28.09 | ALPHA: (176) implies:
% 134.06/28.09 | (177) union(all_17_6, all_17_5) = all_75_3
% 134.06/28.09 | (178) difference(all_17_6, all_17_5) = all_75_0
% 134.06/28.09 | (179) difference(all_75_3, all_75_2) = all_75_1
% 134.06/28.09 | (180) intersection(all_17_6, all_17_5) = all_75_2
% 134.06/28.09 |
% 134.06/28.09 | DELTA: instantiating (93) with fresh symbols all_79_0, all_79_1, all_79_2,
% 134.06/28.09 | all_79_3 gives:
% 134.06/28.09 | (181) intersection(all_17_6, all_17_1) = all_79_2 & difference(all_79_3,
% 134.06/28.09 | all_79_2) = all_79_1 & difference(all_17_6, all_17_1) = all_79_0 &
% 134.06/28.09 | union(all_79_0, all_31_0) = all_79_1 & union(all_17_6, all_17_1) =
% 134.06/28.09 | all_79_3 & $i(all_79_0) & $i(all_79_1) & $i(all_79_2) & $i(all_79_3)
% 134.06/28.09 |
% 134.06/28.09 | ALPHA: (181) implies:
% 134.06/28.09 | (182) union(all_17_6, all_17_1) = all_79_3
% 134.06/28.09 | (183) union(all_79_0, all_31_0) = all_79_1
% 134.06/28.09 | (184) difference(all_17_6, all_17_1) = all_79_0
% 134.06/28.09 | (185) difference(all_79_3, all_79_2) = all_79_1
% 134.06/28.09 | (186) intersection(all_17_6, all_17_1) = all_79_2
% 134.06/28.09 |
% 134.06/28.09 | DELTA: instantiating (91) with fresh symbols all_81_0, all_81_1, all_81_2,
% 134.06/28.09 | all_81_3 gives:
% 134.06/28.10 | (187) intersection(all_17_3, all_17_4) = all_81_2 & difference(all_81_3,
% 134.06/28.10 | all_81_2) = all_81_1 & difference(all_17_4, all_17_3) = all_81_0 &
% 134.06/28.10 | union(all_29_1, all_81_0) = all_81_1 & union(all_17_3, all_17_4) =
% 134.06/28.10 | all_81_3 & $i(all_81_0) & $i(all_81_1) & $i(all_81_2) & $i(all_81_3)
% 134.06/28.10 |
% 134.06/28.10 | ALPHA: (187) implies:
% 134.06/28.10 | (188) difference(all_17_4, all_17_3) = all_81_0
% 134.06/28.10 |
% 134.06/28.10 | DELTA: instantiating (80) with fresh symbols all_83_0, all_83_1, all_83_2,
% 134.06/28.10 | all_83_3 gives:
% 134.06/28.10 | (189) intersection(all_17_5, all_17_4) = all_83_2 & difference(all_83_3,
% 134.06/28.10 | all_83_2) = all_83_1 & difference(all_17_4, all_17_5) = all_83_0 &
% 134.06/28.10 | union(all_25_1, all_83_0) = all_83_1 & union(all_17_5, all_17_4) =
% 134.06/28.10 | all_83_3 & $i(all_83_0) & $i(all_83_1) & $i(all_83_2) & $i(all_83_3)
% 134.06/28.10 |
% 134.06/28.10 | ALPHA: (189) implies:
% 134.06/28.10 | (190) union(all_17_5, all_17_4) = all_83_3
% 134.06/28.10 | (191) difference(all_17_4, all_17_5) = all_83_0
% 134.06/28.10 | (192) difference(all_83_3, all_83_2) = all_83_1
% 134.06/28.10 | (193) intersection(all_17_5, all_17_4) = all_83_2
% 134.06/28.10 |
% 134.06/28.10 | DELTA: instantiating (78) with fresh symbols all_85_0, all_85_1, all_85_2,
% 134.06/28.10 | all_85_3 gives:
% 134.06/28.10 | (194) intersection(all_17_4, all_17_5) = all_85_2 & difference(all_85_3,
% 134.06/28.10 | all_85_2) = all_85_1 & difference(all_17_4, all_17_5) = all_85_0 &
% 134.06/28.10 | union(all_85_0, all_25_1) = all_85_1 & union(all_17_4, all_17_5) =
% 134.06/28.10 | all_85_3 & $i(all_85_0) & $i(all_85_1) & $i(all_85_2) & $i(all_85_3)
% 134.06/28.10 |
% 134.06/28.10 | ALPHA: (194) implies:
% 134.06/28.10 | (195) union(all_17_4, all_17_5) = all_85_3
% 134.06/28.10 | (196) union(all_85_0, all_25_1) = all_85_1
% 134.06/28.10 | (197) difference(all_17_4, all_17_5) = all_85_0
% 134.06/28.10 | (198) difference(all_85_3, all_85_2) = all_85_1
% 134.06/28.10 | (199) intersection(all_17_4, all_17_5) = all_85_2
% 134.06/28.10 |
% 134.06/28.10 | DELTA: instantiating (72) with fresh symbols all_87_0, all_87_1, all_87_2,
% 134.06/28.10 | all_87_3 gives:
% 134.06/28.10 | (200) intersection(all_17_1, all_17_6) = all_87_2 & difference(all_87_3,
% 134.06/28.10 | all_87_2) = all_87_1 & difference(all_17_1, all_17_6) = all_87_0 &
% 134.06/28.10 | union(all_87_0, all_31_1) = all_87_1 & union(all_17_1, all_17_6) =
% 134.06/28.10 | all_87_3 & $i(all_87_0) & $i(all_87_1) & $i(all_87_2) & $i(all_87_3)
% 134.06/28.10 |
% 134.06/28.10 | ALPHA: (200) implies:
% 134.06/28.10 | (201) union(all_17_1, all_17_6) = all_87_3
% 134.06/28.10 | (202) union(all_87_0, all_31_1) = all_87_1
% 134.06/28.10 | (203) difference(all_17_1, all_17_6) = all_87_0
% 134.06/28.10 | (204) difference(all_87_3, all_87_2) = all_87_1
% 134.06/28.10 | (205) intersection(all_17_1, all_17_6) = all_87_2
% 134.06/28.10 |
% 134.06/28.10 | DELTA: instantiating (70) with fresh symbols all_89_0, all_89_1, all_89_2,
% 134.06/28.10 | all_89_3 gives:
% 134.06/28.11 | (206) intersection(all_17_6, all_17_5) = all_89_2 & difference(all_89_3,
% 134.06/28.11 | all_89_2) = all_89_1 & difference(all_17_5, all_17_6) = all_89_0 &
% 134.06/28.11 | union(all_27_1, all_89_0) = all_89_1 & union(all_17_6, all_17_5) =
% 134.06/28.11 | all_89_3 & $i(all_89_0) & $i(all_89_1) & $i(all_89_2) & $i(all_89_3)
% 134.06/28.11 |
% 134.06/28.11 | ALPHA: (206) implies:
% 134.06/28.11 | (207) $i(all_89_2)
% 134.06/28.11 | (208) union(all_17_6, all_17_5) = all_89_3
% 134.06/28.11 | (209) union(all_27_1, all_89_0) = all_89_1
% 134.06/28.11 | (210) difference(all_17_5, all_17_6) = all_89_0
% 134.06/28.11 | (211) difference(all_89_3, all_89_2) = all_89_1
% 134.06/28.11 | (212) intersection(all_17_6, all_17_5) = all_89_2
% 134.06/28.11 |
% 134.06/28.11 | DELTA: instantiating (74) with fresh symbols all_93_0, all_93_1, all_93_2,
% 134.06/28.11 | all_93_3 gives:
% 134.06/28.11 | (213) intersection(all_17_6, all_17_1) = all_93_2 & difference(all_93_3,
% 134.06/28.11 | all_93_2) = all_93_1 & difference(all_17_1, all_17_6) = all_93_0 &
% 134.06/28.11 | union(all_31_1, all_93_0) = all_93_1 & union(all_17_6, all_17_1) =
% 134.06/28.11 | all_93_3 & $i(all_93_0) & $i(all_93_1) & $i(all_93_2) & $i(all_93_3)
% 134.06/28.11 |
% 134.06/28.11 | ALPHA: (213) implies:
% 134.06/28.11 | (214) union(all_17_6, all_17_1) = all_93_3
% 134.06/28.11 | (215) union(all_31_1, all_93_0) = all_93_1
% 134.06/28.11 | (216) difference(all_17_1, all_17_6) = all_93_0
% 134.06/28.11 | (217) difference(all_93_3, all_93_2) = all_93_1
% 134.06/28.11 | (218) intersection(all_17_6, all_17_1) = all_93_2
% 134.06/28.11 |
% 134.06/28.11 | DELTA: instantiating (68) with fresh symbols all_97_0, all_97_1, all_97_2,
% 134.06/28.11 | all_97_3 gives:
% 134.06/28.11 | (219) intersection(all_17_5, all_17_6) = all_97_2 & difference(all_97_3,
% 134.06/28.11 | all_97_2) = all_97_1 & difference(all_17_5, all_17_6) = all_97_0 &
% 134.06/28.11 | union(all_97_0, all_27_1) = all_97_1 & union(all_17_5, all_17_6) =
% 134.06/28.11 | all_97_3 & $i(all_97_0) & $i(all_97_1) & $i(all_97_2) & $i(all_97_3)
% 134.06/28.11 |
% 134.06/28.11 | ALPHA: (219) implies:
% 134.06/28.11 | (220) $i(all_97_2)
% 134.06/28.11 | (221) union(all_17_5, all_17_6) = all_97_3
% 134.06/28.11 | (222) union(all_97_0, all_27_1) = all_97_1
% 134.06/28.11 | (223) difference(all_17_5, all_17_6) = all_97_0
% 134.06/28.11 | (224) difference(all_97_3, all_97_2) = all_97_1
% 134.06/28.11 | (225) intersection(all_17_5, all_17_6) = all_97_2
% 134.06/28.11 |
% 134.06/28.11 | DELTA: instantiating (67) with fresh symbols all_99_0, all_99_1, all_99_2,
% 134.06/28.11 | all_99_3 gives:
% 134.06/28.11 | (226) intersection(all_31_1, all_31_0) = all_99_3 & difference(all_31_0,
% 134.06/28.11 | all_31_1) = all_99_0 & difference(all_31_1, all_31_0) = all_99_1 &
% 134.06/28.11 | difference(all_17_0, all_99_3) = all_99_2 & union(all_99_1, all_99_0)
% 134.06/28.11 | = all_99_2 & $i(all_99_0) & $i(all_99_1) & $i(all_99_2) &
% 134.06/28.11 | $i(all_99_3)
% 134.06/28.11 |
% 134.06/28.11 | ALPHA: (226) implies:
% 134.06/28.11 | (227) difference(all_31_0, all_31_1) = all_99_0
% 134.06/28.11 |
% 134.06/28.11 | DELTA: instantiating (89) with fresh symbols all_101_0, all_101_1, all_101_2,
% 134.06/28.11 | all_101_3 gives:
% 134.06/28.12 | (228) intersection(all_17_4, all_17_3) = all_101_2 & difference(all_101_3,
% 134.06/28.12 | all_101_2) = all_101_1 & difference(all_17_4, all_17_3) = all_101_0
% 134.06/28.12 | & union(all_101_0, all_29_1) = all_101_1 & union(all_17_4, all_17_3)
% 134.06/28.12 | = all_101_3 & $i(all_101_0) & $i(all_101_1) & $i(all_101_2) &
% 134.06/28.12 | $i(all_101_3)
% 134.06/28.12 |
% 134.06/28.12 | ALPHA: (228) implies:
% 134.06/28.12 | (229) union(all_17_4, all_17_3) = all_101_3
% 134.06/28.12 | (230) union(all_101_0, all_29_1) = all_101_1
% 134.06/28.12 | (231) difference(all_17_4, all_17_3) = all_101_0
% 134.06/28.12 | (232) difference(all_101_3, all_101_2) = all_101_1
% 134.06/28.12 | (233) intersection(all_17_4, all_17_3) = all_101_2
% 134.06/28.12 |
% 134.06/28.12 | DELTA: instantiating (86) with fresh symbols all_103_0, all_103_1, all_103_2,
% 134.06/28.12 | all_103_3 gives:
% 134.06/28.12 | (234) intersection(all_17_4, all_17_3) = all_103_2 & difference(all_103_3,
% 134.06/28.12 | all_103_2) = all_103_1 & difference(all_17_3, all_17_4) = all_103_0
% 134.06/28.12 | & union(all_29_0, all_103_0) = all_103_1 & union(all_17_4, all_17_3)
% 134.06/28.12 | = all_103_3 & $i(all_103_0) & $i(all_103_1) & $i(all_103_2) &
% 134.06/28.12 | $i(all_103_3)
% 134.06/28.12 |
% 134.06/28.12 | ALPHA: (234) implies:
% 134.06/28.12 | (235) union(all_17_4, all_17_3) = all_103_3
% 134.06/28.12 | (236) union(all_29_0, all_103_0) = all_103_1
% 134.06/28.12 | (237) difference(all_17_3, all_17_4) = all_103_0
% 134.06/28.12 | (238) difference(all_103_3, all_103_2) = all_103_1
% 134.06/28.12 | (239) intersection(all_17_4, all_17_3) = all_103_2
% 134.06/28.12 |
% 134.06/28.12 | DELTA: instantiating (82) with fresh symbols all_105_0, all_105_1, all_105_2,
% 134.06/28.12 | all_105_3 gives:
% 134.06/28.12 | (240) intersection(all_17_4, all_17_5) = all_105_2 & difference(all_105_3,
% 134.06/28.12 | all_105_2) = all_105_1 & difference(all_17_5, all_17_4) = all_105_0
% 134.06/28.12 | & union(all_25_0, all_105_0) = all_105_1 & union(all_17_4, all_17_5)
% 134.06/28.12 | = all_105_3 & $i(all_105_0) & $i(all_105_1) & $i(all_105_2) &
% 134.06/28.12 | $i(all_105_3)
% 134.06/28.12 |
% 134.06/28.12 | ALPHA: (240) implies:
% 134.06/28.12 | (241) $i(all_105_2)
% 134.06/28.12 | (242) union(all_17_4, all_17_5) = all_105_3
% 134.06/28.12 | (243) union(all_25_0, all_105_0) = all_105_1
% 134.06/28.12 | (244) difference(all_17_5, all_17_4) = all_105_0
% 134.06/28.12 | (245) difference(all_105_3, all_105_2) = all_105_1
% 134.06/28.12 | (246) intersection(all_17_4, all_17_5) = all_105_2
% 134.06/28.12 |
% 134.06/28.12 | DELTA: instantiating (81) with fresh symbols all_107_0, all_107_1, all_107_2,
% 134.06/28.12 | all_107_3 gives:
% 134.06/28.12 | (247) intersection(all_17_5, all_17_4) = all_107_2 & difference(all_107_3,
% 134.06/28.12 | all_107_2) = all_107_1 & difference(all_17_5, all_17_4) = all_107_0
% 134.06/28.12 | & union(all_107_0, all_25_0) = all_107_1 & union(all_17_5, all_17_4)
% 134.06/28.12 | = all_107_3 & $i(all_107_0) & $i(all_107_1) & $i(all_107_2) &
% 134.06/28.12 | $i(all_107_3)
% 134.06/28.12 |
% 134.06/28.12 | ALPHA: (247) implies:
% 134.06/28.12 | (248) $i(all_107_2)
% 134.06/28.13 | (249) union(all_17_5, all_17_4) = all_107_3
% 134.06/28.13 | (250) union(all_107_0, all_25_0) = all_107_1
% 134.06/28.13 | (251) difference(all_17_5, all_17_4) = all_107_0
% 134.06/28.13 | (252) difference(all_107_3, all_107_2) = all_107_1
% 134.06/28.13 | (253) intersection(all_17_5, all_17_4) = all_107_2
% 134.06/28.13 |
% 134.06/28.13 | DELTA: instantiating (85) with fresh symbols all_109_0, all_109_1, all_109_2,
% 134.06/28.13 | all_109_3 gives:
% 134.06/28.13 | (254) intersection(all_17_3, all_17_4) = all_109_2 & difference(all_109_3,
% 134.06/28.13 | all_109_2) = all_109_1 & difference(all_17_3, all_17_4) = all_109_0
% 134.06/28.13 | & union(all_109_0, all_29_0) = all_109_1 & union(all_17_3, all_17_4)
% 134.06/28.13 | = all_109_3 & $i(all_109_0) & $i(all_109_1) & $i(all_109_2) &
% 134.06/28.13 | $i(all_109_3)
% 134.06/28.13 |
% 134.06/28.13 | ALPHA: (254) implies:
% 134.06/28.13 | (255) difference(all_17_3, all_17_4) = all_109_0
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_75_3, all_89_3, all_17_5, all_17_6,
% 134.06/28.13 | simplifying with (177), (208) gives:
% 134.06/28.13 | (256) all_89_3 = all_75_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_79_3, all_93_3, all_17_1, all_17_6,
% 134.06/28.13 | simplifying with (182), (214) gives:
% 134.06/28.13 | (257) all_93_3 = all_79_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_73_3, all_97_3, all_17_6, all_17_5,
% 134.06/28.13 | simplifying with (171), (221) gives:
% 134.06/28.13 | (258) all_97_3 = all_73_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_83_3, all_107_3, all_17_4, all_17_5,
% 134.06/28.13 | simplifying with (190), (249) gives:
% 134.06/28.13 | (259) all_107_3 = all_83_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_85_3, all_105_3, all_17_5, all_17_4,
% 134.06/28.13 | simplifying with (195), (242) gives:
% 134.06/28.13 | (260) all_105_3 = all_85_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_101_3, all_103_3, all_17_3, all_17_4,
% 134.06/28.13 | simplifying with (229), (235) gives:
% 134.06/28.13 | (261) all_103_3 = all_101_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (17) with all_71_3, all_87_3, all_17_6, all_17_1,
% 134.06/28.13 | simplifying with (165), (201) gives:
% 134.06/28.13 | (262) all_87_3 = all_71_3
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (18) with all_55_0, all_67_0, all_17_5, all_17_6,
% 134.06/28.13 | simplifying with (133), (156) gives:
% 134.06/28.13 | (263) all_67_0 = all_55_0
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (18) with all_67_0, all_73_0, all_17_5, all_17_6,
% 134.06/28.13 | simplifying with (156), (173) gives:
% 134.06/28.13 | (264) all_73_0 = all_67_0
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (18) with all_27_1, all_75_0, all_17_5, all_17_6,
% 134.06/28.13 | simplifying with (54), (178) gives:
% 134.06/28.13 | (265) all_75_0 = all_27_1
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (18) with all_73_0, all_75_0, all_17_5, all_17_6,
% 134.06/28.13 | simplifying with (173), (178) gives:
% 134.06/28.13 | (266) all_75_0 = all_73_0
% 134.06/28.13 |
% 134.06/28.13 | GROUND_INST: instantiating (18) with all_57_0, all_59_0, all_17_1, all_17_6,
% 134.06/28.13 | simplifying with (138), (141) gives:
% 134.06/28.13 | (267) all_59_0 = all_57_0
% 134.06/28.13 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_31_1, all_79_0, all_17_1, all_17_6,
% 134.06/28.14 | simplifying with (63), (184) gives:
% 134.06/28.14 | (268) all_79_0 = all_31_1
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_71_0, all_79_0, all_17_1, all_17_6,
% 134.06/28.14 | simplifying with (167), (184) gives:
% 134.06/28.14 | (269) all_79_0 = all_71_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_59_0, all_79_0, all_17_1, all_17_6,
% 134.06/28.14 | simplifying with (141), (184) gives:
% 134.06/28.14 | (270) all_79_0 = all_59_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_27_0, all_67_1, all_17_6, all_17_5,
% 134.06/28.14 | simplifying with (55), (157) gives:
% 134.06/28.14 | (271) all_67_1 = all_27_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_67_1, all_89_0, all_17_6, all_17_5,
% 134.06/28.14 | simplifying with (157), (210) gives:
% 134.06/28.14 | (272) all_89_0 = all_67_1
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_89_0, all_97_0, all_17_6, all_17_5,
% 134.06/28.14 | simplifying with (210), (223) gives:
% 134.06/28.14 | (273) all_97_0 = all_89_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_47_0, all_97_0, all_17_6, all_17_5,
% 134.06/28.14 | simplifying with (116), (223) gives:
% 134.06/28.14 | (274) all_97_0 = all_47_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_25_1, all_105_0, all_17_4, all_17_5,
% 134.06/28.14 | simplifying with (48), (244) gives:
% 134.06/28.14 | (275) all_105_0 = all_25_1
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_65_0, all_105_0, all_17_4, all_17_5,
% 134.06/28.14 | simplifying with (153), (244) gives:
% 134.06/28.14 | (276) all_105_0 = all_65_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_65_0, all_107_0, all_17_4, all_17_5,
% 134.06/28.14 | simplifying with (153), (251) gives:
% 134.06/28.14 | (277) all_107_0 = all_65_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_49_0, all_107_0, all_17_4, all_17_5,
% 134.06/28.14 | simplifying with (121), (251) gives:
% 134.06/28.14 | (278) all_107_0 = all_49_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_25_0, all_65_1, all_17_5, all_17_4,
% 134.06/28.14 | simplifying with (49), (154) gives:
% 134.06/28.14 | (279) all_65_1 = all_25_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_65_1, all_83_0, all_17_5, all_17_4,
% 134.06/28.14 | simplifying with (154), (191) gives:
% 134.06/28.14 | (280) all_83_0 = all_65_1
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_83_0, all_85_0, all_17_5, all_17_4,
% 134.06/28.14 | simplifying with (191), (197) gives:
% 134.06/28.14 | (281) all_85_0 = all_83_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_53_0, all_85_0, all_17_5, all_17_4,
% 134.06/28.14 | simplifying with (128), (197) gives:
% 134.06/28.14 | (282) all_85_0 = all_53_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_29_0, all_63_1, all_17_3, all_17_4,
% 134.06/28.14 | simplifying with (57), (150) gives:
% 134.06/28.14 | (283) all_63_1 = all_29_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_81_0, all_101_0, all_17_3, all_17_4,
% 134.06/28.14 | simplifying with (188), (231) gives:
% 134.06/28.14 | (284) all_101_0 = all_81_0
% 134.06/28.14 |
% 134.06/28.14 | GROUND_INST: instantiating (18) with all_63_1, all_101_0, all_17_3, all_17_4,
% 134.06/28.14 | simplifying with (150), (231) gives:
% 134.06/28.14 | (285) all_101_0 = all_63_1
% 134.06/28.14 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_43_0, all_101_0, all_17_3, all_17_4,
% 134.06/28.15 | simplifying with (108), (231) gives:
% 134.06/28.15 | (286) all_101_0 = all_43_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_29_1, all_63_0, all_17_4, all_17_3,
% 134.06/28.15 | simplifying with (58), (151) gives:
% 134.06/28.15 | (287) all_63_0 = all_29_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_63_0, all_103_0, all_17_4, all_17_3,
% 134.06/28.15 | simplifying with (151), (237) gives:
% 134.06/28.15 | (288) all_103_0 = all_63_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_103_0, all_109_0, all_17_4, all_17_3,
% 134.06/28.15 | simplifying with (237), (255) gives:
% 134.06/28.15 | (289) all_109_0 = all_103_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_45_0, all_109_0, all_17_4, all_17_3,
% 134.06/28.15 | simplifying with (112), (255) gives:
% 134.06/28.15 | (290) all_109_0 = all_45_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_31_0, all_59_1, all_17_6, all_17_1,
% 134.06/28.15 | simplifying with (64), (142) gives:
% 134.06/28.15 | (291) all_59_1 = all_31_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_87_0, all_93_0, all_17_6, all_17_1,
% 134.06/28.15 | simplifying with (203), (216) gives:
% 134.06/28.15 | (292) all_93_0 = all_87_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_59_1, all_93_0, all_17_6, all_17_1,
% 134.06/28.15 | simplifying with (142), (216) gives:
% 134.06/28.15 | (293) all_93_0 = all_59_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (18) with all_51_0, all_93_0, all_17_6, all_17_1,
% 134.06/28.15 | simplifying with (124), (216) gives:
% 134.06/28.15 | (294) all_93_0 = all_51_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_17_3, all_55_1, all_17_6, all_17_5,
% 134.06/28.15 | simplifying with (33), (134) gives:
% 134.06/28.15 | (295) all_55_1 = all_17_3
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_47_1, all_55_1, all_17_6, all_17_5,
% 134.06/28.15 | simplifying with (117), (134) gives:
% 134.06/28.15 | (296) all_55_1 = all_47_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_17_1, all_53_1, all_17_5, all_17_4,
% 134.06/28.15 | simplifying with (39), (129) gives:
% 134.06/28.15 | (297) all_53_1 = all_17_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_49_1, all_53_1, all_17_5, all_17_4,
% 134.06/28.15 | simplifying with (122), (129) gives:
% 134.06/28.15 | (298) all_53_1 = all_49_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_17_2, all_45_1, all_17_3, all_17_4,
% 134.06/28.15 | simplifying with (42), (113) gives:
% 134.06/28.15 | (299) all_45_1 = all_17_2
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_43_1, all_45_1, all_17_3, all_17_4,
% 134.06/28.15 | simplifying with (109), (113) gives:
% 134.06/28.15 | (300) all_45_1 = all_43_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_17_0, all_57_1, all_17_6, all_17_1,
% 134.06/28.15 | simplifying with (36), (139) gives:
% 134.06/28.15 | (301) all_57_1 = all_17_0
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (19) with all_51_1, all_57_1, all_17_6, all_17_1,
% 134.06/28.15 | simplifying with (125), (139) gives:
% 134.06/28.15 | (302) all_57_1 = all_51_1
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (20) with all_75_2, all_89_2, all_17_5, all_17_6,
% 134.06/28.15 | simplifying with (180), (212) gives:
% 134.06/28.15 | (303) all_89_2 = all_75_2
% 134.06/28.15 |
% 134.06/28.15 | GROUND_INST: instantiating (20) with all_79_2, all_93_2, all_17_1, all_17_6,
% 134.06/28.15 | simplifying with (186), (218) gives:
% 134.06/28.15 | (304) all_93_2 = all_79_2
% 134.06/28.15 |
% 134.52/28.15 | GROUND_INST: instantiating (20) with all_73_2, all_97_2, all_17_6, all_17_5,
% 134.52/28.15 | simplifying with (175), (225) gives:
% 134.52/28.16 | (305) all_97_2 = all_73_2
% 134.52/28.16 |
% 134.52/28.16 | GROUND_INST: instantiating (20) with all_83_2, all_107_2, all_17_4, all_17_5,
% 134.52/28.16 | simplifying with (193), (253) gives:
% 134.52/28.16 | (306) all_107_2 = all_83_2
% 134.52/28.16 |
% 134.52/28.16 | GROUND_INST: instantiating (20) with all_85_2, all_105_2, all_17_5, all_17_4,
% 134.52/28.16 | simplifying with (199), (246) gives:
% 134.52/28.16 | (307) all_105_2 = all_85_2
% 134.52/28.16 |
% 134.52/28.16 | GROUND_INST: instantiating (20) with all_101_2, all_103_2, all_17_3, all_17_4,
% 134.52/28.16 | simplifying with (233), (239) gives:
% 134.52/28.16 | (308) all_103_2 = all_101_2
% 134.52/28.16 |
% 134.52/28.16 | GROUND_INST: instantiating (20) with all_71_2, all_87_2, all_17_6, all_17_1,
% 134.52/28.16 | simplifying with (169), (205) gives:
% 134.52/28.16 | (309) all_87_2 = all_71_2
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (289), (290) imply:
% 134.52/28.16 | (310) all_103_0 = all_45_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (310) implies:
% 134.52/28.16 | (311) all_103_0 = all_45_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (277), (278) imply:
% 134.52/28.16 | (312) all_65_0 = all_49_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (312) implies:
% 134.52/28.16 | (313) all_65_0 = all_49_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (275), (276) imply:
% 134.52/28.16 | (314) all_65_0 = all_25_1
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (314) implies:
% 134.52/28.16 | (315) all_65_0 = all_25_1
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (288), (311) imply:
% 134.52/28.16 | (316) all_63_0 = all_45_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (316) implies:
% 134.52/28.16 | (317) all_63_0 = all_45_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (284), (286) imply:
% 134.52/28.16 | (318) all_81_0 = all_43_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (284), (285) imply:
% 134.52/28.16 | (319) all_81_0 = all_63_1
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (273), (274) imply:
% 134.52/28.16 | (320) all_89_0 = all_47_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (320) implies:
% 134.52/28.16 | (321) all_89_0 = all_47_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (292), (293) imply:
% 134.52/28.16 | (322) all_87_0 = all_59_1
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (292), (294) imply:
% 134.52/28.16 | (323) all_87_0 = all_51_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (272), (321) imply:
% 134.52/28.16 | (324) all_67_1 = all_47_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (324) implies:
% 134.52/28.16 | (325) all_67_1 = all_47_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (322), (323) imply:
% 134.52/28.16 | (326) all_59_1 = all_51_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (326) implies:
% 134.52/28.16 | (327) all_59_1 = all_51_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (281), (282) imply:
% 134.52/28.16 | (328) all_83_0 = all_53_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (328) implies:
% 134.52/28.16 | (329) all_83_0 = all_53_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (280), (329) imply:
% 134.52/28.16 | (330) all_65_1 = all_53_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (330) implies:
% 134.52/28.16 | (331) all_65_1 = all_53_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (318), (319) imply:
% 134.52/28.16 | (332) all_63_1 = all_43_0
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (332) implies:
% 134.52/28.16 | (333) all_63_1 = all_43_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (268), (269) imply:
% 134.52/28.16 | (334) all_71_0 = all_31_1
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (269), (270) imply:
% 134.52/28.16 | (335) all_71_0 = all_59_0
% 134.52/28.16 |
% 134.52/28.16 | COMBINE_EQS: (265), (266) imply:
% 134.52/28.16 | (336) all_73_0 = all_27_1
% 134.52/28.16 |
% 134.52/28.16 | SIMP: (336) implies:
% 134.52/28.17 | (337) all_73_0 = all_27_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (264), (337) imply:
% 134.52/28.17 | (338) all_67_0 = all_27_1
% 134.52/28.17 |
% 134.52/28.17 | SIMP: (338) implies:
% 134.52/28.17 | (339) all_67_0 = all_27_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (334), (335) imply:
% 134.52/28.17 | (340) all_59_0 = all_31_1
% 134.52/28.17 |
% 134.52/28.17 | SIMP: (340) implies:
% 134.52/28.17 | (341) all_59_0 = all_31_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (263), (339) imply:
% 134.52/28.17 | (342) all_55_0 = all_27_1
% 134.52/28.17 |
% 134.52/28.17 | SIMP: (342) implies:
% 134.52/28.17 | (343) all_55_0 = all_27_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (271), (325) imply:
% 134.52/28.17 | (344) all_47_0 = all_27_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (313), (315) imply:
% 134.52/28.17 | (345) all_49_0 = all_25_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (279), (331) imply:
% 134.52/28.17 | (346) all_53_0 = all_25_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (287), (317) imply:
% 134.52/28.17 | (347) all_45_0 = all_29_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (283), (333) imply:
% 134.52/28.17 | (348) all_43_0 = all_29_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (267), (341) imply:
% 134.52/28.17 | (349) all_57_0 = all_31_1
% 134.52/28.17 |
% 134.52/28.17 | SIMP: (349) implies:
% 134.52/28.17 | (350) all_57_0 = all_31_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (291), (327) imply:
% 134.52/28.17 | (351) all_51_0 = all_31_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (301), (302) imply:
% 134.52/28.17 | (352) all_51_1 = all_17_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (295), (296) imply:
% 134.52/28.17 | (353) all_47_1 = all_17_3
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (297), (298) imply:
% 134.52/28.17 | (354) all_49_1 = all_17_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (299), (300) imply:
% 134.52/28.17 | (355) all_43_1 = all_17_2
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (318), (348) imply:
% 134.52/28.17 | (356) all_81_0 = all_29_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (282), (346) imply:
% 134.52/28.17 | (357) all_85_0 = all_25_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (323), (351) imply:
% 134.52/28.17 | (358) all_87_0 = all_31_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (321), (344) imply:
% 134.52/28.17 | (359) all_89_0 = all_27_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (292), (358) imply:
% 134.52/28.17 | (360) all_93_0 = all_31_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (274), (344) imply:
% 134.52/28.17 | (361) all_97_0 = all_27_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (284), (356) imply:
% 134.52/28.17 | (362) all_101_0 = all_29_0
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (311), (347) imply:
% 134.52/28.17 | (363) all_103_0 = all_29_1
% 134.52/28.17 |
% 134.52/28.17 | COMBINE_EQS: (278), (345) imply:
% 134.52/28.17 | (364) all_107_0 = all_25_1
% 134.52/28.17 |
% 134.52/28.17 | REDUCE: (252), (259), (306) imply:
% 134.52/28.17 | (365) difference(all_83_3, all_83_2) = all_107_1
% 134.52/28.17 |
% 134.52/28.17 | REDUCE: (245), (260), (307) imply:
% 134.52/28.17 | (366) difference(all_85_3, all_85_2) = all_105_1
% 134.52/28.17 |
% 134.52/28.17 | REDUCE: (238), (261), (308) imply:
% 134.52/28.17 | (367) difference(all_101_3, all_101_2) = all_103_1
% 134.52/28.17 |
% 134.52/28.17 | REDUCE: (224), (258), (305) imply:
% 134.52/28.18 | (368) difference(all_73_3, all_73_2) = all_97_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (217), (257), (304) imply:
% 134.52/28.18 | (369) difference(all_79_3, all_79_2) = all_93_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (211), (256), (303) imply:
% 134.52/28.18 | (370) difference(all_75_3, all_75_2) = all_89_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (204), (262), (309) imply:
% 134.52/28.18 | (371) difference(all_71_3, all_71_2) = all_87_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (250), (364) imply:
% 134.52/28.18 | (372) union(all_25_1, all_25_0) = all_107_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (230), (362) imply:
% 134.52/28.18 | (373) union(all_29_0, all_29_1) = all_101_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (222), (361) imply:
% 134.52/28.18 | (374) union(all_27_0, all_27_1) = all_97_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (202), (358) imply:
% 134.52/28.18 | (375) union(all_31_0, all_31_1) = all_87_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (196), (357) imply:
% 134.52/28.18 | (376) union(all_25_0, all_25_1) = all_85_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (183), (268) imply:
% 134.52/28.18 | (377) union(all_31_1, all_31_0) = all_79_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (166), (334) imply:
% 134.52/28.18 | (378) union(all_31_0, all_31_1) = all_71_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (137), (301), (350) imply:
% 134.52/28.18 | (379) union(all_31_0, all_31_1) = all_17_0
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (215), (360) imply:
% 134.52/28.18 | (380) union(all_31_1, all_31_0) = all_93_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (236), (363) imply:
% 134.52/28.18 | (381) union(all_29_0, all_29_1) = all_103_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (111), (299), (347) imply:
% 134.52/28.18 | (382) union(all_29_0, all_29_1) = all_17_2
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (172), (337) imply:
% 134.52/28.18 | (383) union(all_27_0, all_27_1) = all_73_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (132), (295), (343) imply:
% 134.52/28.18 | (384) union(all_27_0, all_27_1) = all_17_3
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (209), (359) imply:
% 134.52/28.18 | (385) union(all_27_1, all_27_0) = all_89_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (243), (275) imply:
% 134.52/28.18 | (386) union(all_25_0, all_25_1) = all_105_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (120), (345), (354) imply:
% 134.52/28.18 | (387) union(all_25_0, all_25_1) = all_17_1
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (248), (306) imply:
% 134.52/28.18 | (388) $i(all_83_2)
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (241), (307) imply:
% 134.52/28.18 | (389) $i(all_85_2)
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (220), (305) imply:
% 134.52/28.18 | (390) $i(all_73_2)
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (207), (303) imply:
% 134.52/28.18 | (391) $i(all_75_2)
% 134.52/28.18 |
% 134.52/28.18 | REDUCE: (107), (348) imply:
% 134.52/28.18 | (392) $i(all_29_0)
% 134.52/28.18 |
% 134.52/28.18 | GROUND_INST: instantiating (17) with all_17_1, all_107_1, all_25_0, all_25_1,
% 134.52/28.18 | simplifying with (47), (372) gives:
% 134.52/28.18 | (393) all_107_1 = all_17_1
% 134.52/28.18 |
% 134.52/28.18 | GROUND_INST: instantiating (17) with all_17_1, all_105_1, all_25_1, all_25_0,
% 134.52/28.18 | simplifying with (386), (387) gives:
% 134.52/28.19 | (394) all_105_1 = all_17_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (17) with all_17_3, all_89_1, all_27_0, all_27_1,
% 134.52/28.19 | simplifying with (53), (385) gives:
% 134.52/28.19 | (395) all_89_1 = all_17_3
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (17) with all_17_3, all_97_1, all_27_1, all_27_0,
% 134.52/28.19 | simplifying with (374), (384) gives:
% 134.52/28.19 | (396) all_97_1 = all_17_3
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (17) with all_17_2, all_103_1, all_29_1, all_29_0,
% 134.52/28.19 | simplifying with (381), (382) gives:
% 134.52/28.19 | (397) all_103_1 = all_17_2
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (17) with all_17_0, all_93_1, all_31_0, all_31_1,
% 134.52/28.19 | simplifying with (62), (380) gives:
% 134.52/28.19 | (398) all_93_1 = all_17_0
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (17) with all_17_0, all_87_1, all_31_1, all_31_0,
% 134.52/28.19 | simplifying with (375), (379) gives:
% 134.52/28.19 | (399) all_87_1 = all_17_0
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_71_1, all_87_1, all_71_2, all_71_3,
% 134.52/28.19 | simplifying with (168), (371) gives:
% 134.52/28.19 | (400) all_87_1 = all_71_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_73_1, all_97_1, all_73_2, all_73_3,
% 134.52/28.19 | simplifying with (174), (368) gives:
% 134.52/28.19 | (401) all_97_1 = all_73_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_75_1, all_89_1, all_75_2, all_75_3,
% 134.52/28.19 | simplifying with (179), (370) gives:
% 134.52/28.19 | (402) all_89_1 = all_75_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_79_1, all_93_1, all_79_2, all_79_3,
% 134.52/28.19 | simplifying with (185), (369) gives:
% 134.52/28.19 | (403) all_93_1 = all_79_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_83_1, all_107_1, all_83_2, all_83_3,
% 134.52/28.19 | simplifying with (192), (365) gives:
% 134.52/28.19 | (404) all_107_1 = all_83_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_85_1, all_105_1, all_85_2, all_85_3,
% 134.52/28.19 | simplifying with (198), (366) gives:
% 134.52/28.19 | (405) all_105_1 = all_85_1
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (18) with all_101_1, all_103_1, all_101_2,
% 134.52/28.19 | all_101_3, simplifying with (232), (367) gives:
% 134.52/28.19 | (406) all_103_1 = all_101_1
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (393), (404) imply:
% 134.52/28.19 | (407) all_83_1 = all_17_1
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (394), (405) imply:
% 134.52/28.19 | (408) all_85_1 = all_17_1
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (397), (406) imply:
% 134.52/28.19 | (409) all_101_1 = all_17_2
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (396), (401) imply:
% 134.52/28.19 | (410) all_73_1 = all_17_3
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (398), (403) imply:
% 134.52/28.19 | (411) all_79_1 = all_17_0
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (395), (402) imply:
% 134.52/28.19 | (412) all_75_1 = all_17_3
% 134.52/28.19 |
% 134.52/28.19 | COMBINE_EQS: (399), (400) imply:
% 134.52/28.19 | (413) all_71_1 = all_17_0
% 134.52/28.19 |
% 134.52/28.19 | REDUCE: (198), (408) imply:
% 134.52/28.19 | (414) difference(all_85_3, all_85_2) = all_17_1
% 134.52/28.19 |
% 134.52/28.19 | REDUCE: (192), (407) imply:
% 134.52/28.19 | (415) difference(all_83_3, all_83_2) = all_17_1
% 134.52/28.19 |
% 134.52/28.19 | REDUCE: (179), (412) imply:
% 134.52/28.19 | (416) difference(all_75_3, all_75_2) = all_17_3
% 134.52/28.19 |
% 134.52/28.19 | REDUCE: (174), (410) imply:
% 134.52/28.19 | (417) difference(all_73_3, all_73_2) = all_17_3
% 134.52/28.19 |
% 134.52/28.19 | GROUND_INST: instantiating (14) with all_17_5, all_17_6, all_75_3, simplifying
% 134.52/28.19 | with (23), (24), (177) gives:
% 134.52/28.19 | (418) union(all_17_5, all_17_6) = all_75_3 & $i(all_75_3)
% 134.52/28.19 |
% 134.52/28.19 | ALPHA: (418) implies:
% 134.52/28.19 | (419) $i(all_75_3)
% 134.52/28.20 | (420) union(all_17_5, all_17_6) = all_75_3
% 134.52/28.20 |
% 134.52/28.20 | GROUND_INST: instantiating (14) with all_17_6, all_17_5, all_73_3, simplifying
% 134.52/28.20 | with (23), (24), (171) gives:
% 134.52/28.20 | (421) union(all_17_6, all_17_5) = all_73_3 & $i(all_73_3)
% 134.70/28.20 |
% 134.70/28.20 | ALPHA: (421) implies:
% 134.70/28.20 | (422) $i(all_73_3)
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (14) with all_17_4, all_17_5, all_83_3, simplifying
% 134.70/28.20 | with (24), (25), (190) gives:
% 134.70/28.20 | (423) union(all_17_4, all_17_5) = all_83_3 & $i(all_83_3)
% 134.70/28.20 |
% 134.70/28.20 | ALPHA: (423) implies:
% 134.70/28.20 | (424) $i(all_83_3)
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (14) with all_17_5, all_17_4, all_85_3, simplifying
% 134.70/28.20 | with (24), (25), (195) gives:
% 134.70/28.20 | (425) union(all_17_5, all_17_4) = all_85_3 & $i(all_85_3)
% 134.70/28.20 |
% 134.70/28.20 | ALPHA: (425) implies:
% 134.70/28.20 | (426) $i(all_85_3)
% 134.70/28.20 | (427) union(all_17_5, all_17_4) = all_85_3
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (13) with all_25_0, all_25_1, all_17_6, all_17_1,
% 134.70/28.20 | all_31_0, simplifying with (23), (45), (46), (64), (387) gives:
% 134.70/28.20 | (428) ? [v0: $i] : ? [v1: $i] : (difference(all_25_0, all_17_6) = v0 &
% 134.70/28.20 | difference(all_25_1, all_17_6) = v1 & union(v0, v1) = all_31_0 &
% 134.70/28.20 | $i(v1) & $i(v0) & $i(all_31_0))
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (11) with all_17_4, all_27_0, all_27_1, all_17_3,
% 134.70/28.20 | all_29_0, simplifying with (25), (51), (52), (57), (384) gives:
% 134.70/28.20 | (429) ? [v0: $i] : (difference(v0, all_27_1) = all_29_0 &
% 134.70/28.20 | difference(all_17_4, all_27_0) = v0 & $i(v0) & $i(all_29_0))
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (4) with all_29_0, all_61_1, all_61_0, all_29_1,
% 134.70/28.20 | all_17_2, simplifying with (144), (145), (146), (382), (392)
% 134.70/28.20 | gives:
% 134.70/28.20 | (430) ? [v0: $i] : (union(v0, all_61_0) = all_17_2 & union(all_29_0,
% 134.70/28.20 | all_61_1) = v0 & $i(v0) & $i(all_17_2))
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (5) with all_69_1, all_69_0, all_31_1, all_31_0,
% 134.70/28.20 | all_17_0, simplifying with (60), (159), (160), (161), (379)
% 134.70/28.20 | gives:
% 134.70/28.20 | (431) ? [v0: $i] : (union(all_69_0, all_31_1) = v0 & union(all_69_1, v0) =
% 134.70/28.20 | all_17_0 & $i(v0) & $i(all_17_0))
% 134.70/28.20 |
% 134.70/28.20 | GROUND_INST: instantiating (7) with all_17_6, all_17_5, all_17_4, all_25_1,
% 134.70/28.20 | all_41_0, simplifying with (23), (24), (25), (48), (104) gives:
% 134.70/28.20 | (432) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_6, all_17_4) = v1 &
% 134.70/28.21 | difference(all_17_6, all_17_5) = v0 & union(v0, v1) = all_41_0 &
% 134.70/28.21 | $i(v1) & $i(v0) & $i(all_41_0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (10) with all_25_1, all_17_6, all_41_0, simplifying
% 134.70/28.21 | with (23), (45), (104) gives:
% 134.70/28.21 | (433) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.21 | (intersection(all_25_1, all_17_6) = v1 & difference(v0, v1) = v2 &
% 134.70/28.21 | difference(all_25_1, all_17_6) = v3 & union(v3, all_41_0) = v2 &
% 134.70/28.21 | union(all_25_1, all_17_6) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (2) with all_25_1, all_17_6, all_41_0, simplifying
% 134.70/28.21 | with (23), (45), (104) gives:
% 134.70/28.21 | (434) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_25_1, all_17_6)
% 134.70/28.21 | = v0 & difference(all_25_1, all_17_6) = v1 & union(v1, all_41_0) =
% 134.70/28.21 | v0 & $i(v1) & $i(v0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (9) with all_17_6, all_25_1, all_41_0, simplifying
% 134.70/28.21 | with (23), (45), (104) gives:
% 134.70/28.21 | (435) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.21 | (intersection(all_17_6, all_25_1) = v1 & difference(v0, v1) = v2 &
% 134.70/28.21 | difference(all_25_1, all_17_6) = v3 & union(all_41_0, v3) = v2 &
% 134.70/28.21 | union(all_17_6, all_25_1) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (1) with all_17_6, all_25_1, all_41_0, simplifying
% 134.70/28.21 | with (23), (45), (104) gives:
% 134.70/28.21 | (436) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_6, all_25_1)
% 134.70/28.21 | = v0 & difference(all_25_1, all_17_6) = v1 & union(all_41_0, v1) =
% 134.70/28.21 | v0 & $i(v1) & $i(v0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (7) with all_17_4, all_17_6, all_17_5, all_27_1,
% 134.70/28.21 | all_39_0, simplifying with (23), (24), (25), (54), (101) gives:
% 134.70/28.21 | (437) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_4, all_17_5) = v1 &
% 134.70/28.21 | difference(all_17_4, all_17_6) = v0 & union(v0, v1) = all_39_0 &
% 134.70/28.21 | $i(v1) & $i(v0) & $i(all_39_0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (12) with all_17_5, all_17_4, all_17_6, all_25_1,
% 134.70/28.21 | all_69_1, simplifying with (23), (24), (25), (48), (162) gives:
% 134.70/28.21 | (438) ? [v0: $i] : (difference(all_17_5, v0) = all_69_1 & union(all_17_4,
% 134.70/28.21 | all_17_6) = v0 & $i(v0) & $i(all_69_1))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (12) with all_17_4, all_17_5, all_17_6, all_25_0,
% 134.70/28.21 | all_69_0, simplifying with (23), (24), (25), (49), (163) gives:
% 134.70/28.21 | (439) ? [v0: $i] : (difference(all_17_4, v0) = all_69_0 & union(all_17_5,
% 134.70/28.21 | all_17_6) = v0 & $i(v0) & $i(all_69_0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (12) with all_17_6, all_17_5, all_17_4, all_27_1,
% 134.70/28.21 | all_61_1, simplifying with (23), (24), (25), (54), (147) gives:
% 134.70/28.21 | (440) ? [v0: $i] : (difference(all_17_6, v0) = all_61_1 & union(all_17_5,
% 134.70/28.21 | all_17_4) = v0 & $i(v0) & $i(all_61_1))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (12) with all_17_5, all_17_6, all_17_4, all_27_0,
% 134.70/28.21 | all_61_0, simplifying with (23), (24), (25), (55), (148) gives:
% 134.70/28.21 | (441) ? [v0: $i] : (difference(all_17_5, v0) = all_61_0 & union(all_17_6,
% 134.70/28.21 | all_17_4) = v0 & $i(v0) & $i(all_61_0))
% 134.70/28.21 |
% 134.70/28.21 | GROUND_INST: instantiating (10) with all_17_4, all_27_0, all_61_0, simplifying
% 134.70/28.21 | with (25), (52), (148) gives:
% 134.70/28.22 | (442) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.22 | (intersection(all_17_4, all_27_0) = v1 & difference(v0, v1) = v2 &
% 134.70/28.22 | difference(all_17_4, all_27_0) = v3 & union(v3, all_61_0) = v2 &
% 134.70/28.22 | union(all_17_4, all_27_0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (2) with all_17_4, all_27_0, all_61_0, simplifying
% 134.70/28.22 | with (25), (52), (148) gives:
% 134.70/28.22 | (443) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_17_4, all_27_0)
% 134.70/28.22 | = v0 & difference(all_17_4, all_27_0) = v1 & union(v1, all_61_0) =
% 134.70/28.22 | v0 & $i(v1) & $i(v0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (9) with all_27_0, all_17_4, all_61_0, simplifying
% 134.70/28.22 | with (25), (52), (148) gives:
% 134.70/28.22 | (444) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.22 | (intersection(all_27_0, all_17_4) = v1 & difference(v0, v1) = v2 &
% 134.70/28.22 | difference(all_17_4, all_27_0) = v3 & union(all_61_0, v3) = v2 &
% 134.70/28.22 | union(all_27_0, all_17_4) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (1) with all_27_0, all_17_4, all_61_0, simplifying
% 134.70/28.22 | with (25), (52), (148) gives:
% 134.70/28.22 | (445) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_27_0, all_17_4)
% 134.70/28.22 | = v0 & difference(all_17_4, all_27_0) = v1 & union(all_61_0, v1) =
% 134.70/28.22 | v0 & $i(v1) & $i(v0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (13) with all_69_1, all_69_0, all_31_1, all_31_0,
% 134.70/28.22 | all_99_0, simplifying with (60), (159), (160), (161), (227)
% 134.70/28.22 | gives:
% 134.70/28.22 | (446) ? [v0: $i] : ? [v1: $i] : (difference(all_69_0, all_31_1) = v1 &
% 134.70/28.22 | difference(all_69_1, all_31_1) = v0 & union(v0, v1) = all_99_0 &
% 134.70/28.22 | $i(v1) & $i(v0) & $i(all_99_0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (7) with all_41_0, all_17_4, all_17_5, all_25_0,
% 134.70/28.22 | all_31_1, simplifying with (24), (25), (49), (103), (105) gives:
% 134.70/28.22 | (447) ? [v0: $i] : ? [v1: $i] : (intersection(all_41_0, all_17_5) = v1 &
% 134.70/28.22 | difference(all_41_0, all_17_4) = v0 & union(v0, v1) = all_31_1 &
% 134.70/28.22 | $i(v1) & $i(v0) & $i(all_31_1))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (7) with all_17_4, all_73_3, all_73_2, all_17_3,
% 134.70/28.22 | all_29_0, simplifying with (25), (57), (390), (417), (422) gives:
% 134.70/28.22 | (448) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_4, all_73_2) = v1 &
% 134.70/28.22 | difference(all_17_4, all_73_3) = v0 & union(v0, v1) = all_29_0 &
% 134.70/28.22 | $i(v1) & $i(v0) & $i(all_29_0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (7) with all_17_4, all_75_3, all_75_2, all_17_3,
% 134.70/28.22 | all_29_0, simplifying with (25), (57), (391), (416), (419) gives:
% 134.70/28.22 | (449) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_4, all_75_2) = v1 &
% 134.70/28.22 | difference(all_17_4, all_75_3) = v0 & union(v0, v1) = all_29_0 &
% 134.70/28.22 | $i(v1) & $i(v0) & $i(all_29_0))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (7) with all_17_6, all_83_3, all_83_2, all_17_1,
% 134.70/28.22 | all_31_1, simplifying with (23), (63), (388), (415), (424) gives:
% 134.70/28.22 | (450) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_6, all_83_2) = v1 &
% 134.70/28.22 | difference(all_17_6, all_83_3) = v0 & union(v0, v1) = all_31_1 &
% 134.70/28.22 | $i(v1) & $i(v0) & $i(all_31_1))
% 134.70/28.22 |
% 134.70/28.22 | GROUND_INST: instantiating (7) with all_17_6, all_85_3, all_85_2, all_17_1,
% 134.70/28.22 | all_31_1, simplifying with (23), (63), (389), (414), (426) gives:
% 134.70/28.23 | (451) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_6, all_85_2) = v1 &
% 134.70/28.23 | difference(all_17_6, all_85_3) = v0 & union(v0, v1) = all_31_1 &
% 134.70/28.23 | $i(v1) & $i(v0) & $i(all_31_1))
% 134.70/28.23 |
% 134.70/28.23 | GROUND_INST: instantiating (15) with all_17_5, all_17_6, all_75_2, simplifying
% 134.70/28.23 | with (23), (24), (180) gives:
% 134.70/28.23 | (452) intersection(all_17_5, all_17_6) = all_75_2 & $i(all_75_2)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (452) implies:
% 134.70/28.23 | (453) intersection(all_17_5, all_17_6) = all_75_2
% 134.70/28.23 |
% 134.70/28.23 | GROUND_INST: instantiating (15) with all_17_4, all_17_5, all_83_2, simplifying
% 134.70/28.23 | with (24), (25), (193) gives:
% 134.70/28.23 | (454) intersection(all_17_4, all_17_5) = all_83_2 & $i(all_83_2)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (454) implies:
% 134.70/28.23 | (455) intersection(all_17_4, all_17_5) = all_83_2
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (440) with fresh symbol all_131_0 gives:
% 134.70/28.23 | (456) difference(all_17_6, all_131_0) = all_61_1 & union(all_17_5,
% 134.70/28.23 | all_17_4) = all_131_0 & $i(all_131_0) & $i(all_61_1)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (456) implies:
% 134.70/28.23 | (457) union(all_17_5, all_17_4) = all_131_0
% 134.70/28.23 | (458) difference(all_17_6, all_131_0) = all_61_1
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (431) with fresh symbol all_141_0 gives:
% 134.70/28.23 | (459) union(all_69_0, all_31_1) = all_141_0 & union(all_69_1, all_141_0) =
% 134.70/28.23 | all_17_0 & $i(all_141_0) & $i(all_17_0)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (459) implies:
% 134.70/28.23 | (460) union(all_69_0, all_31_1) = all_141_0
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (429) with fresh symbol all_143_0 gives:
% 134.70/28.23 | (461) difference(all_143_0, all_27_1) = all_29_0 & difference(all_17_4,
% 134.70/28.23 | all_27_0) = all_143_0 & $i(all_143_0) & $i(all_29_0)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (461) implies:
% 134.70/28.23 | (462) difference(all_17_4, all_27_0) = all_143_0
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (438) with fresh symbol all_145_0 gives:
% 134.70/28.23 | (463) difference(all_17_5, all_145_0) = all_69_1 & union(all_17_4,
% 134.70/28.23 | all_17_6) = all_145_0 & $i(all_145_0) & $i(all_69_1)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (463) implies:
% 134.70/28.23 | (464) union(all_17_4, all_17_6) = all_145_0
% 134.70/28.23 | (465) difference(all_17_5, all_145_0) = all_69_1
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (439) with fresh symbol all_147_0 gives:
% 134.70/28.23 | (466) difference(all_17_4, all_147_0) = all_69_0 & union(all_17_5,
% 134.70/28.23 | all_17_6) = all_147_0 & $i(all_147_0) & $i(all_69_0)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (466) implies:
% 134.70/28.23 | (467) union(all_17_5, all_17_6) = all_147_0
% 134.70/28.23 | (468) difference(all_17_4, all_147_0) = all_69_0
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (430) with fresh symbol all_151_0 gives:
% 134.70/28.23 | (469) union(all_151_0, all_61_0) = all_17_2 & union(all_29_0, all_61_1) =
% 134.70/28.23 | all_151_0 & $i(all_151_0) & $i(all_17_2)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (469) implies:
% 134.70/28.23 | (470) union(all_29_0, all_61_1) = all_151_0
% 134.70/28.23 | (471) union(all_151_0, all_61_0) = all_17_2
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (441) with fresh symbol all_157_0 gives:
% 134.70/28.23 | (472) difference(all_17_5, all_157_0) = all_61_0 & union(all_17_6,
% 134.70/28.23 | all_17_4) = all_157_0 & $i(all_157_0) & $i(all_61_0)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (472) implies:
% 134.70/28.23 | (473) union(all_17_6, all_17_4) = all_157_0
% 134.70/28.23 | (474) difference(all_17_5, all_157_0) = all_61_0
% 134.70/28.23 |
% 134.70/28.23 | DELTA: instantiating (443) with fresh symbols all_211_0, all_211_1 gives:
% 134.70/28.23 | (475) symmetric_difference(all_17_4, all_27_0) = all_211_1 &
% 134.70/28.23 | difference(all_17_4, all_27_0) = all_211_0 & union(all_211_0,
% 134.70/28.23 | all_61_0) = all_211_1 & $i(all_211_0) & $i(all_211_1)
% 134.70/28.23 |
% 134.70/28.23 | ALPHA: (475) implies:
% 134.70/28.24 | (476) difference(all_17_4, all_27_0) = all_211_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (445) with fresh symbols all_231_0, all_231_1 gives:
% 134.70/28.24 | (477) symmetric_difference(all_27_0, all_17_4) = all_231_1 &
% 134.70/28.24 | difference(all_17_4, all_27_0) = all_231_0 & union(all_61_0,
% 134.70/28.24 | all_231_0) = all_231_1 & $i(all_231_0) & $i(all_231_1)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (477) implies:
% 134.70/28.24 | (478) difference(all_17_4, all_27_0) = all_231_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (436) with fresh symbols all_307_0, all_307_1 gives:
% 134.70/28.24 | (479) symmetric_difference(all_17_6, all_25_1) = all_307_1 &
% 134.70/28.24 | difference(all_25_1, all_17_6) = all_307_0 & union(all_41_0,
% 134.70/28.24 | all_307_0) = all_307_1 & $i(all_307_0) & $i(all_307_1)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (479) implies:
% 134.70/28.24 | (480) $i(all_307_0)
% 134.70/28.24 | (481) difference(all_25_1, all_17_6) = all_307_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (434) with fresh symbols all_315_0, all_315_1 gives:
% 134.70/28.24 | (482) symmetric_difference(all_25_1, all_17_6) = all_315_1 &
% 134.70/28.24 | difference(all_25_1, all_17_6) = all_315_0 & union(all_315_0,
% 134.70/28.24 | all_41_0) = all_315_1 & $i(all_315_0) & $i(all_315_1)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (482) implies:
% 134.70/28.24 | (483) difference(all_25_1, all_17_6) = all_315_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (437) with fresh symbols all_321_0, all_321_1 gives:
% 134.70/28.24 | (484) intersection(all_17_4, all_17_5) = all_321_0 & difference(all_17_4,
% 134.70/28.24 | all_17_6) = all_321_1 & union(all_321_1, all_321_0) = all_39_0 &
% 134.70/28.24 | $i(all_321_0) & $i(all_321_1) & $i(all_39_0)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (484) implies:
% 134.70/28.24 | (485) difference(all_17_4, all_17_6) = all_321_1
% 134.70/28.24 | (486) intersection(all_17_4, all_17_5) = all_321_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (446) with fresh symbols all_323_0, all_323_1 gives:
% 134.70/28.24 | (487) difference(all_69_0, all_31_1) = all_323_0 & difference(all_69_1,
% 134.70/28.24 | all_31_1) = all_323_1 & union(all_323_1, all_323_0) = all_99_0 &
% 134.70/28.24 | $i(all_323_0) & $i(all_323_1) & $i(all_99_0)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (487) implies:
% 134.70/28.24 | (488) difference(all_69_0, all_31_1) = all_323_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (450) with fresh symbols all_327_0, all_327_1 gives:
% 134.70/28.24 | (489) intersection(all_17_6, all_83_2) = all_327_0 & difference(all_17_6,
% 134.70/28.24 | all_83_3) = all_327_1 & union(all_327_1, all_327_0) = all_31_1 &
% 134.70/28.24 | $i(all_327_0) & $i(all_327_1) & $i(all_31_1)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (489) implies:
% 134.70/28.24 | (490) $i(all_327_1)
% 134.70/28.24 | (491) union(all_327_1, all_327_0) = all_31_1
% 134.70/28.24 | (492) difference(all_17_6, all_83_3) = all_327_1
% 134.70/28.24 | (493) intersection(all_17_6, all_83_2) = all_327_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (432) with fresh symbols all_329_0, all_329_1 gives:
% 134.70/28.24 | (494) intersection(all_17_6, all_17_4) = all_329_0 & difference(all_17_6,
% 134.70/28.24 | all_17_5) = all_329_1 & union(all_329_1, all_329_0) = all_41_0 &
% 134.70/28.24 | $i(all_329_0) & $i(all_329_1) & $i(all_41_0)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (494) implies:
% 134.70/28.24 | (495) intersection(all_17_6, all_17_4) = all_329_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (449) with fresh symbols all_339_0, all_339_1 gives:
% 134.70/28.24 | (496) intersection(all_17_4, all_75_2) = all_339_0 & difference(all_17_4,
% 134.70/28.24 | all_75_3) = all_339_1 & union(all_339_1, all_339_0) = all_29_0 &
% 134.70/28.24 | $i(all_339_0) & $i(all_339_1) & $i(all_29_0)
% 134.70/28.24 |
% 134.70/28.24 | ALPHA: (496) implies:
% 134.70/28.24 | (497) $i(all_339_1)
% 134.70/28.24 | (498) union(all_339_1, all_339_0) = all_29_0
% 134.70/28.24 | (499) difference(all_17_4, all_75_3) = all_339_1
% 134.70/28.24 | (500) intersection(all_17_4, all_75_2) = all_339_0
% 134.70/28.24 |
% 134.70/28.24 | DELTA: instantiating (428) with fresh symbols all_363_0, all_363_1 gives:
% 134.70/28.25 | (501) difference(all_25_0, all_17_6) = all_363_1 & difference(all_25_1,
% 134.70/28.25 | all_17_6) = all_363_0 & union(all_363_1, all_363_0) = all_31_0 &
% 134.70/28.25 | $i(all_363_0) & $i(all_363_1) & $i(all_31_0)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (501) implies:
% 134.70/28.25 | (502) union(all_363_1, all_363_0) = all_31_0
% 134.70/28.25 | (503) difference(all_25_1, all_17_6) = all_363_0
% 134.70/28.25 | (504) difference(all_25_0, all_17_6) = all_363_1
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (451) with fresh symbols all_379_0, all_379_1 gives:
% 134.70/28.25 | (505) intersection(all_17_6, all_85_2) = all_379_0 & difference(all_17_6,
% 134.70/28.25 | all_85_3) = all_379_1 & union(all_379_1, all_379_0) = all_31_1 &
% 134.70/28.25 | $i(all_379_0) & $i(all_379_1) & $i(all_31_1)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (505) implies:
% 134.70/28.25 | (506) $i(all_379_0)
% 134.70/28.25 | (507) difference(all_17_6, all_85_3) = all_379_1
% 134.70/28.25 | (508) intersection(all_17_6, all_85_2) = all_379_0
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (448) with fresh symbols all_387_0, all_387_1 gives:
% 134.70/28.25 | (509) intersection(all_17_4, all_73_2) = all_387_0 & difference(all_17_4,
% 134.70/28.25 | all_73_3) = all_387_1 & union(all_387_1, all_387_0) = all_29_0 &
% 134.70/28.25 | $i(all_387_0) & $i(all_387_1) & $i(all_29_0)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (509) implies:
% 134.70/28.25 | (510) $i(all_387_0)
% 134.70/28.25 | (511) difference(all_17_4, all_73_3) = all_387_1
% 134.70/28.25 | (512) intersection(all_17_4, all_73_2) = all_387_0
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (447) with fresh symbols all_391_0, all_391_1 gives:
% 134.70/28.25 | (513) intersection(all_41_0, all_17_5) = all_391_0 & difference(all_41_0,
% 134.70/28.25 | all_17_4) = all_391_1 & union(all_391_1, all_391_0) = all_31_1 &
% 134.70/28.25 | $i(all_391_0) & $i(all_391_1) & $i(all_31_1)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (513) implies:
% 134.70/28.25 | (514) $i(all_391_1)
% 134.70/28.25 | (515) $i(all_391_0)
% 134.70/28.25 | (516) union(all_391_1, all_391_0) = all_31_1
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (435) with fresh symbols all_409_0, all_409_1, all_409_2,
% 134.70/28.25 | all_409_3 gives:
% 134.70/28.25 | (517) intersection(all_17_6, all_25_1) = all_409_2 & difference(all_409_3,
% 134.70/28.25 | all_409_2) = all_409_1 & difference(all_25_1, all_17_6) = all_409_0
% 134.70/28.25 | & union(all_41_0, all_409_0) = all_409_1 & union(all_17_6, all_25_1)
% 134.70/28.25 | = all_409_3 & $i(all_409_0) & $i(all_409_1) & $i(all_409_2) &
% 134.70/28.25 | $i(all_409_3)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (517) implies:
% 134.70/28.25 | (518) difference(all_25_1, all_17_6) = all_409_0
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (433) with fresh symbols all_411_0, all_411_1, all_411_2,
% 134.70/28.25 | all_411_3 gives:
% 134.70/28.25 | (519) intersection(all_25_1, all_17_6) = all_411_2 & difference(all_411_3,
% 134.70/28.25 | all_411_2) = all_411_1 & difference(all_25_1, all_17_6) = all_411_0
% 134.70/28.25 | & union(all_411_0, all_41_0) = all_411_1 & union(all_25_1, all_17_6)
% 134.70/28.25 | = all_411_3 & $i(all_411_0) & $i(all_411_1) & $i(all_411_2) &
% 134.70/28.25 | $i(all_411_3)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (519) implies:
% 134.70/28.25 | (520) difference(all_25_1, all_17_6) = all_411_0
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (444) with fresh symbols all_487_0, all_487_1, all_487_2,
% 134.70/28.25 | all_487_3 gives:
% 134.70/28.25 | (521) intersection(all_27_0, all_17_4) = all_487_2 & difference(all_487_3,
% 134.70/28.25 | all_487_2) = all_487_1 & difference(all_17_4, all_27_0) = all_487_0
% 134.70/28.25 | & union(all_61_0, all_487_0) = all_487_1 & union(all_27_0, all_17_4)
% 134.70/28.25 | = all_487_3 & $i(all_487_0) & $i(all_487_1) & $i(all_487_2) &
% 134.70/28.25 | $i(all_487_3)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (521) implies:
% 134.70/28.25 | (522) difference(all_17_4, all_27_0) = all_487_0
% 134.70/28.25 |
% 134.70/28.25 | DELTA: instantiating (442) with fresh symbols all_499_0, all_499_1, all_499_2,
% 134.70/28.25 | all_499_3 gives:
% 134.70/28.25 | (523) intersection(all_17_4, all_27_0) = all_499_2 & difference(all_499_3,
% 134.70/28.25 | all_499_2) = all_499_1 & difference(all_17_4, all_27_0) = all_499_0
% 134.70/28.25 | & union(all_499_0, all_61_0) = all_499_1 & union(all_17_4, all_27_0)
% 134.70/28.25 | = all_499_3 & $i(all_499_0) & $i(all_499_1) & $i(all_499_2) &
% 134.70/28.25 | $i(all_499_3)
% 134.70/28.25 |
% 134.70/28.25 | ALPHA: (523) implies:
% 134.70/28.25 | (524) difference(all_17_4, all_27_0) = all_499_0
% 134.70/28.25 |
% 134.70/28.25 | GROUND_INST: instantiating (17) with all_73_3, all_147_0, all_17_6, all_17_5,
% 134.70/28.25 | simplifying with (171), (467) gives:
% 134.70/28.25 | (525) all_147_0 = all_73_3
% 134.70/28.25 |
% 134.70/28.25 | GROUND_INST: instantiating (17) with all_75_3, all_147_0, all_17_6, all_17_5,
% 134.70/28.25 | simplifying with (420), (467) gives:
% 134.70/28.25 | (526) all_147_0 = all_75_3
% 134.70/28.25 |
% 134.70/28.25 | GROUND_INST: instantiating (17) with all_83_3, all_131_0, all_17_4, all_17_5,
% 134.70/28.25 | simplifying with (190), (457) gives:
% 134.70/28.25 | (527) all_131_0 = all_83_3
% 134.70/28.25 |
% 134.70/28.25 | GROUND_INST: instantiating (17) with all_85_3, all_131_0, all_17_4, all_17_5,
% 134.70/28.25 | simplifying with (427), (457) gives:
% 134.70/28.25 | (528) all_131_0 = all_85_3
% 134.70/28.25 |
% 134.70/28.25 | GROUND_INST: instantiating (18) with all_143_0, all_231_0, all_27_0, all_17_4,
% 134.70/28.25 | simplifying with (462), (478) gives:
% 134.70/28.25 | (529) all_231_0 = all_143_0
% 134.70/28.25 |
% 134.70/28.25 | GROUND_INST: instantiating (18) with all_487_0, all_499_0, all_27_0, all_17_4,
% 134.70/28.25 | simplifying with (522), (524) gives:
% 134.70/28.25 | (530) all_499_0 = all_487_0
% 134.70/28.25 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_231_0, all_499_0, all_27_0, all_17_4,
% 134.70/28.26 | simplifying with (478), (524) gives:
% 134.70/28.26 | (531) all_499_0 = all_231_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_211_0, all_499_0, all_27_0, all_17_4,
% 134.70/28.26 | simplifying with (476), (524) gives:
% 134.70/28.26 | (532) all_499_0 = all_211_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_363_0, all_409_0, all_17_6, all_25_1,
% 134.70/28.26 | simplifying with (503), (518) gives:
% 134.70/28.26 | (533) all_409_0 = all_363_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_315_0, all_409_0, all_17_6, all_25_1,
% 134.70/28.26 | simplifying with (483), (518) gives:
% 134.70/28.26 | (534) all_409_0 = all_315_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_307_0, all_409_0, all_17_6, all_25_1,
% 134.70/28.26 | simplifying with (481), (518) gives:
% 134.70/28.26 | (535) all_409_0 = all_307_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_69_1, all_411_0, all_17_6, all_25_1,
% 134.70/28.26 | simplifying with (162), (520) gives:
% 134.70/28.26 | (536) all_411_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_409_0, all_411_0, all_17_6, all_25_1,
% 134.70/28.26 | simplifying with (518), (520) gives:
% 134.70/28.26 | (537) all_411_0 = all_409_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_69_0, all_363_1, all_17_6, all_25_0,
% 134.70/28.26 | simplifying with (163), (504) gives:
% 134.70/28.26 | (538) all_363_1 = all_69_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (20) with all_73_2, all_75_2, all_17_6, all_17_5,
% 134.70/28.26 | simplifying with (175), (453) gives:
% 134.70/28.26 | (539) all_75_2 = all_73_2
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (20) with all_85_2, all_321_0, all_17_5, all_17_4,
% 134.70/28.26 | simplifying with (199), (486) gives:
% 134.70/28.26 | (540) all_321_0 = all_85_2
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (20) with all_83_2, all_321_0, all_17_5, all_17_4,
% 134.70/28.26 | simplifying with (455), (486) gives:
% 134.70/28.26 | (541) all_321_0 = all_83_2
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (530), (532) imply:
% 134.70/28.26 | (542) all_487_0 = all_211_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (530), (531) imply:
% 134.70/28.26 | (543) all_487_0 = all_231_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (542), (543) imply:
% 134.70/28.26 | (544) all_231_0 = all_211_0
% 134.70/28.26 |
% 134.70/28.26 | SIMP: (544) implies:
% 134.70/28.26 | (545) all_231_0 = all_211_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (536), (537) imply:
% 134.70/28.26 | (546) all_409_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | SIMP: (546) implies:
% 134.70/28.26 | (547) all_409_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (533), (535) imply:
% 134.70/28.26 | (548) all_363_0 = all_307_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (533), (547) imply:
% 134.70/28.26 | (549) all_363_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (533), (534) imply:
% 134.70/28.26 | (550) all_363_0 = all_315_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (548), (550) imply:
% 134.70/28.26 | (551) all_315_0 = all_307_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (549), (550) imply:
% 134.70/28.26 | (552) all_315_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (540), (541) imply:
% 134.70/28.26 | (553) all_85_2 = all_83_2
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (551), (552) imply:
% 134.70/28.26 | (554) all_307_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | SIMP: (554) implies:
% 134.70/28.26 | (555) all_307_0 = all_69_1
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (529), (545) imply:
% 134.70/28.26 | (556) all_211_0 = all_143_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (525), (526) imply:
% 134.70/28.26 | (557) all_75_3 = all_73_3
% 134.70/28.26 |
% 134.70/28.26 | SIMP: (557) implies:
% 134.70/28.26 | (558) all_75_3 = all_73_3
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (527), (528) imply:
% 134.70/28.26 | (559) all_85_3 = all_83_3
% 134.70/28.26 |
% 134.70/28.26 | SIMP: (559) implies:
% 134.70/28.26 | (560) all_85_3 = all_83_3
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (500), (539) imply:
% 134.70/28.26 | (561) intersection(all_17_4, all_73_2) = all_339_0
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (508), (553) imply:
% 134.70/28.26 | (562) intersection(all_17_6, all_83_2) = all_379_0
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (180), (539) imply:
% 134.70/28.26 | (563) intersection(all_17_6, all_17_5) = all_73_2
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (468), (525) imply:
% 134.70/28.26 | (564) difference(all_17_4, all_73_3) = all_69_0
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (499), (558) imply:
% 134.70/28.26 | (565) difference(all_17_4, all_73_3) = all_339_1
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (458), (527) imply:
% 134.70/28.26 | (566) difference(all_17_6, all_83_3) = all_61_1
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (507), (560) imply:
% 134.70/28.26 | (567) difference(all_17_6, all_83_3) = all_379_1
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (502), (538), (549) imply:
% 134.70/28.26 | (568) union(all_69_0, all_69_1) = all_31_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_327_1, all_379_1, all_83_3, all_17_6,
% 134.70/28.26 | simplifying with (492), (567) gives:
% 134.70/28.26 | (569) all_379_1 = all_327_1
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_61_1, all_379_1, all_83_3, all_17_6,
% 134.70/28.26 | simplifying with (566), (567) gives:
% 134.70/28.26 | (570) all_379_1 = all_61_1
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_387_1, all_69_0, all_73_3, all_17_4,
% 134.70/28.26 | simplifying with (511), (564) gives:
% 134.70/28.26 | (571) all_387_1 = all_69_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (18) with all_387_1, all_339_1, all_73_3, all_17_4,
% 134.70/28.26 | simplifying with (511), (565) gives:
% 134.70/28.26 | (572) all_387_1 = all_339_1
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (20) with all_327_0, all_379_0, all_83_2, all_17_6,
% 134.70/28.26 | simplifying with (493), (562) gives:
% 134.70/28.26 | (573) all_379_0 = all_327_0
% 134.70/28.26 |
% 134.70/28.26 | GROUND_INST: instantiating (20) with all_387_0, all_339_0, all_73_2, all_17_4,
% 134.70/28.26 | simplifying with (512), (561) gives:
% 134.70/28.26 | (574) all_387_0 = all_339_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (571), (572) imply:
% 134.70/28.26 | (575) all_339_1 = all_69_0
% 134.70/28.26 |
% 134.70/28.26 | COMBINE_EQS: (569), (570) imply:
% 134.70/28.26 | (576) all_327_1 = all_61_1
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (498), (575) imply:
% 134.70/28.26 | (577) union(all_69_0, all_339_0) = all_29_0
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (491), (576) imply:
% 134.70/28.26 | (578) union(all_61_1, all_327_0) = all_31_1
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (510), (574) imply:
% 134.70/28.26 | (579) $i(all_339_0)
% 134.70/28.26 |
% 134.70/28.26 | REDUCE: (506), (573) imply:
% 134.70/28.27 | (580) $i(all_327_0)
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (14) with all_17_4, all_17_6, all_157_0,
% 134.70/28.27 | simplifying with (23), (25), (473) gives:
% 134.70/28.27 | (581) union(all_17_4, all_17_6) = all_157_0 & $i(all_157_0)
% 134.70/28.27 |
% 134.70/28.27 | ALPHA: (581) implies:
% 134.70/28.27 | (582) union(all_17_4, all_17_6) = all_157_0
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (8) with all_17_6, all_17_4, all_157_0, simplifying
% 134.70/28.27 | with (23), (25), (473) gives:
% 134.70/28.27 | (583) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.27 | (intersection(all_17_6, all_17_4) = v0 & difference(all_157_0, v0) =
% 134.70/28.27 | v1 & difference(all_17_4, all_17_6) = v3 & difference(all_17_6,
% 134.70/28.27 | all_17_4) = v2 & union(v2, v3) = v1 & $i(v3) & $i(v2) & $i(v1) &
% 134.70/28.27 | $i(v0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (8) with all_17_4, all_17_6, all_145_0, simplifying
% 134.70/28.27 | with (23), (25), (464) gives:
% 134.70/28.27 | (584) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.27 | (intersection(all_17_4, all_17_6) = v0 & difference(all_145_0, v0) =
% 134.70/28.27 | v1 & difference(all_17_4, all_17_6) = v2 & difference(all_17_6,
% 134.70/28.27 | all_17_4) = v3 & union(v2, v3) = v1 & $i(v3) & $i(v2) & $i(v1) &
% 134.70/28.27 | $i(v0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (14) with all_327_0, all_61_1, all_31_1,
% 134.70/28.27 | simplifying with (144), (578), (580) gives:
% 134.70/28.27 | (585) union(all_327_0, all_61_1) = all_31_1 & $i(all_31_1)
% 134.70/28.27 |
% 134.70/28.27 | ALPHA: (585) implies:
% 134.70/28.27 | (586) union(all_327_0, all_61_1) = all_31_1
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (14) with all_31_1, all_69_0, all_141_0,
% 134.70/28.27 | simplifying with (60), (160), (460) gives:
% 134.70/28.27 | (587) union(all_31_1, all_69_0) = all_141_0 & $i(all_141_0)
% 134.70/28.27 |
% 134.70/28.27 | ALPHA: (587) implies:
% 134.70/28.27 | (588) union(all_31_1, all_69_0) = all_141_0
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (4) with all_31_1, all_69_0, all_69_1, all_31_0,
% 134.70/28.27 | all_17_0, simplifying with (60), (62), (159), (160), (568) gives:
% 134.70/28.27 | (589) ? [v0: $i] : (union(v0, all_69_1) = all_17_0 & union(all_31_1,
% 134.70/28.27 | all_69_0) = v0 & $i(v0) & $i(all_17_0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (5) with all_69_0, all_339_0, all_61_1, all_29_0,
% 134.70/28.27 | all_151_0, simplifying with (144), (160), (470), (577), (579)
% 134.70/28.27 | gives:
% 134.70/28.27 | (590) ? [v0: $i] : (union(all_339_0, all_61_1) = v0 & union(all_69_0, v0)
% 134.70/28.27 | = all_151_0 & $i(v0) & $i(all_151_0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (14) with all_391_0, all_391_1, all_31_1,
% 134.70/28.27 | simplifying with (514), (515), (516) gives:
% 134.70/28.27 | (591) union(all_391_0, all_391_1) = all_31_1 & $i(all_31_1)
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (10) with all_17_6, all_17_4, all_321_1,
% 134.70/28.27 | simplifying with (23), (25), (485) gives:
% 134.70/28.27 | (592) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.27 | (intersection(all_17_6, all_17_4) = v1 & difference(v0, v1) = v2 &
% 134.70/28.27 | difference(all_17_6, all_17_4) = v3 & union(v3, all_321_1) = v2 &
% 134.70/28.27 | union(all_17_6, all_17_4) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (9) with all_17_4, all_17_6, all_321_1, simplifying
% 134.70/28.27 | with (23), (25), (485) gives:
% 134.70/28.27 | (593) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.27 | (intersection(all_17_4, all_17_6) = v1 & difference(v0, v1) = v2 &
% 134.70/28.27 | difference(all_17_6, all_17_4) = v3 & union(all_321_1, v3) = v2 &
% 134.70/28.27 | union(all_17_4, all_17_6) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (7) with all_17_4, all_17_5, all_17_6, all_27_0,
% 134.70/28.27 | all_143_0, simplifying with (23), (24), (25), (55), (462) gives:
% 134.70/28.27 | (594) ? [v0: $i] : ? [v1: $i] : (intersection(all_17_4, all_17_6) = v1 &
% 134.70/28.27 | difference(all_17_4, all_17_5) = v0 & union(v0, v1) = all_143_0 &
% 134.70/28.27 | $i(v1) & $i(v0) & $i(all_143_0))
% 134.70/28.27 |
% 134.70/28.27 | GROUND_INST: instantiating (10) with all_31_1, all_69_0, all_323_0,
% 134.70/28.27 | simplifying with (60), (160), (488) gives:
% 134.70/28.28 | (595) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.28 | (intersection(all_31_1, all_69_0) = v1 & difference(v0, v1) = v2 &
% 134.70/28.28 | difference(all_31_1, all_69_0) = v3 & union(v3, all_323_0) = v2 &
% 134.70/28.28 | union(all_31_1, all_69_0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.28 |
% 134.70/28.28 | GROUND_INST: instantiating (9) with all_69_0, all_31_1, all_323_0, simplifying
% 134.70/28.28 | with (60), (160), (488) gives:
% 134.70/28.28 | (596) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 134.70/28.28 | (intersection(all_69_0, all_31_1) = v1 & difference(v0, v1) = v2 &
% 134.70/28.28 | difference(all_31_1, all_69_0) = v3 & union(all_323_0, v3) = v2 &
% 134.70/28.28 | union(all_69_0, all_31_1) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 134.70/28.28 |
% 134.70/28.28 | GROUND_INST: instantiating (15) with all_17_4, all_17_6, all_329_0,
% 134.70/28.28 | simplifying with (23), (25), (495) gives:
% 134.70/28.28 | (597) intersection(all_17_4, all_17_6) = all_329_0 & $i(all_329_0)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (597) implies:
% 134.70/28.28 | (598) intersection(all_17_4, all_17_6) = all_329_0
% 134.70/28.28 |
% 134.70/28.28 | GROUND_INST: instantiating (6) with all_17_6, all_17_4, all_17_5, all_83_2,
% 134.70/28.28 | all_327_0, simplifying with (23), (24), (25), (455), (493) gives:
% 134.70/28.28 | (599) ? [v0: $i] : (intersection(v0, all_17_5) = all_327_0 &
% 134.70/28.28 | intersection(all_17_6, all_17_4) = v0 & $i(v0) & $i(all_327_0))
% 134.70/28.28 |
% 134.70/28.28 | GROUND_INST: instantiating (6) with all_17_4, all_17_6, all_17_5, all_73_2,
% 134.70/28.28 | all_339_0, simplifying with (23), (24), (25), (561), (563) gives:
% 134.70/28.28 | (600) ? [v0: $i] : (intersection(v0, all_17_5) = all_339_0 &
% 134.70/28.28 | intersection(all_17_4, all_17_6) = v0 & $i(v0) & $i(all_339_0))
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (600) with fresh symbol all_1051_0 gives:
% 134.70/28.28 | (601) intersection(all_1051_0, all_17_5) = all_339_0 &
% 134.70/28.28 | intersection(all_17_4, all_17_6) = all_1051_0 & $i(all_1051_0) &
% 134.70/28.28 | $i(all_339_0)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (601) implies:
% 134.70/28.28 | (602) intersection(all_17_4, all_17_6) = all_1051_0
% 134.70/28.28 | (603) intersection(all_1051_0, all_17_5) = all_339_0
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (599) with fresh symbol all_1055_0 gives:
% 134.70/28.28 | (604) intersection(all_1055_0, all_17_5) = all_327_0 &
% 134.70/28.28 | intersection(all_17_6, all_17_4) = all_1055_0 & $i(all_1055_0) &
% 134.70/28.28 | $i(all_327_0)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (604) implies:
% 134.70/28.28 | (605) intersection(all_17_6, all_17_4) = all_1055_0
% 134.70/28.28 | (606) intersection(all_1055_0, all_17_5) = all_327_0
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (589) with fresh symbol all_1113_0 gives:
% 134.70/28.28 | (607) union(all_1113_0, all_69_1) = all_17_0 & union(all_31_1, all_69_0) =
% 134.70/28.28 | all_1113_0 & $i(all_1113_0) & $i(all_17_0)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (607) implies:
% 134.70/28.28 | (608) union(all_31_1, all_69_0) = all_1113_0
% 134.70/28.28 | (609) union(all_1113_0, all_69_1) = all_17_0
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (590) with fresh symbol all_1299_0 gives:
% 134.70/28.28 | (610) union(all_339_0, all_61_1) = all_1299_0 & union(all_69_0, all_1299_0)
% 134.70/28.28 | = all_151_0 & $i(all_1299_0) & $i(all_151_0)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (610) implies:
% 134.70/28.28 | (611) union(all_69_0, all_1299_0) = all_151_0
% 134.70/28.28 | (612) union(all_339_0, all_61_1) = all_1299_0
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (594) with fresh symbols all_1855_0, all_1855_1 gives:
% 134.70/28.28 | (613) intersection(all_17_4, all_17_6) = all_1855_0 & difference(all_17_4,
% 134.70/28.28 | all_17_5) = all_1855_1 & union(all_1855_1, all_1855_0) = all_143_0
% 134.70/28.28 | & $i(all_1855_0) & $i(all_1855_1) & $i(all_143_0)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (613) implies:
% 134.70/28.28 | (614) intersection(all_17_4, all_17_6) = all_1855_0
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (583) with fresh symbols all_2341_0, all_2341_1,
% 134.70/28.28 | all_2341_2, all_2341_3 gives:
% 134.70/28.28 | (615) intersection(all_17_6, all_17_4) = all_2341_3 & difference(all_157_0,
% 134.70/28.28 | all_2341_3) = all_2341_2 & difference(all_17_4, all_17_6) =
% 134.70/28.28 | all_2341_0 & difference(all_17_6, all_17_4) = all_2341_1 &
% 134.70/28.28 | union(all_2341_1, all_2341_0) = all_2341_2 & $i(all_2341_0) &
% 134.70/28.28 | $i(all_2341_1) & $i(all_2341_2) & $i(all_2341_3)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (615) implies:
% 134.70/28.28 | (616) intersection(all_17_6, all_17_4) = all_2341_3
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (584) with fresh symbols all_2405_0, all_2405_1,
% 134.70/28.28 | all_2405_2, all_2405_3 gives:
% 134.70/28.28 | (617) intersection(all_17_4, all_17_6) = all_2405_3 & difference(all_145_0,
% 134.70/28.28 | all_2405_3) = all_2405_2 & difference(all_17_4, all_17_6) =
% 134.70/28.28 | all_2405_1 & difference(all_17_6, all_17_4) = all_2405_0 &
% 134.70/28.28 | union(all_2405_1, all_2405_0) = all_2405_2 & $i(all_2405_0) &
% 134.70/28.28 | $i(all_2405_1) & $i(all_2405_2) & $i(all_2405_3)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (617) implies:
% 134.70/28.28 | (618) intersection(all_17_4, all_17_6) = all_2405_3
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (595) with fresh symbols all_2455_0, all_2455_1,
% 134.70/28.28 | all_2455_2, all_2455_3 gives:
% 134.70/28.28 | (619) intersection(all_31_1, all_69_0) = all_2455_2 &
% 134.70/28.28 | difference(all_2455_3, all_2455_2) = all_2455_1 &
% 134.70/28.28 | difference(all_31_1, all_69_0) = all_2455_0 & union(all_2455_0,
% 134.70/28.28 | all_323_0) = all_2455_1 & union(all_31_1, all_69_0) = all_2455_3 &
% 134.70/28.28 | $i(all_2455_0) & $i(all_2455_1) & $i(all_2455_2) & $i(all_2455_3)
% 134.70/28.28 |
% 134.70/28.28 | ALPHA: (619) implies:
% 134.70/28.28 | (620) union(all_31_1, all_69_0) = all_2455_3
% 134.70/28.28 |
% 134.70/28.28 | DELTA: instantiating (593) with fresh symbols all_2507_0, all_2507_1,
% 134.70/28.28 | all_2507_2, all_2507_3 gives:
% 134.70/28.29 | (621) intersection(all_17_4, all_17_6) = all_2507_2 &
% 134.70/28.29 | difference(all_2507_3, all_2507_2) = all_2507_1 &
% 134.70/28.29 | difference(all_17_6, all_17_4) = all_2507_0 & union(all_321_1,
% 134.70/28.29 | all_2507_0) = all_2507_1 & union(all_17_4, all_17_6) = all_2507_3 &
% 134.70/28.29 | $i(all_2507_0) & $i(all_2507_1) & $i(all_2507_2) & $i(all_2507_3)
% 134.70/28.29 |
% 134.70/28.29 | ALPHA: (621) implies:
% 134.70/28.29 | (622) union(all_17_4, all_17_6) = all_2507_3
% 134.70/28.29 | (623) intersection(all_17_4, all_17_6) = all_2507_2
% 134.70/28.29 |
% 134.70/28.29 | DELTA: instantiating (596) with fresh symbols all_2705_0, all_2705_1,
% 134.70/28.29 | all_2705_2, all_2705_3 gives:
% 134.70/28.29 | (624) intersection(all_69_0, all_31_1) = all_2705_2 &
% 134.70/28.29 | difference(all_2705_3, all_2705_2) = all_2705_1 &
% 134.70/28.29 | difference(all_31_1, all_69_0) = all_2705_0 & union(all_323_0,
% 134.70/28.29 | all_2705_0) = all_2705_1 & union(all_69_0, all_31_1) = all_2705_3 &
% 134.70/28.29 | $i(all_2705_0) & $i(all_2705_1) & $i(all_2705_2) & $i(all_2705_3)
% 134.70/28.29 |
% 134.70/28.29 | ALPHA: (624) implies:
% 134.70/28.29 | (625) union(all_69_0, all_31_1) = all_2705_3
% 134.70/28.29 |
% 134.70/28.29 | DELTA: instantiating (592) with fresh symbols all_2865_0, all_2865_1,
% 134.70/28.29 | all_2865_2, all_2865_3 gives:
% 134.70/28.29 | (626) intersection(all_17_6, all_17_4) = all_2865_2 &
% 134.70/28.29 | difference(all_2865_3, all_2865_2) = all_2865_1 &
% 134.70/28.29 | difference(all_17_6, all_17_4) = all_2865_0 & union(all_2865_0,
% 134.70/28.29 | all_321_1) = all_2865_1 & union(all_17_6, all_17_4) = all_2865_3 &
% 134.70/28.29 | $i(all_2865_0) & $i(all_2865_1) & $i(all_2865_2) & $i(all_2865_3)
% 134.70/28.29 |
% 134.70/28.29 | ALPHA: (626) implies:
% 134.70/28.29 | (627) intersection(all_17_6, all_17_4) = all_2865_2
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_145_0, all_2507_3, all_17_6,
% 134.70/28.29 | all_17_4, simplifying with (464), (622) gives:
% 134.70/28.29 | (628) all_2507_3 = all_145_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_157_0, all_2507_3, all_17_6,
% 134.70/28.29 | all_17_4, simplifying with (582), (622) gives:
% 134.70/28.29 | (629) all_2507_3 = all_157_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_1113_0, all_2455_3, all_69_0,
% 134.70/28.29 | all_31_1, simplifying with (608), (620) gives:
% 134.70/28.29 | (630) all_2455_3 = all_1113_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_141_0, all_2455_3, all_69_0,
% 134.70/28.29 | all_31_1, simplifying with (588), (620) gives:
% 134.70/28.29 | (631) all_2455_3 = all_141_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_141_0, all_2705_3, all_31_1,
% 134.70/28.29 | all_69_0, simplifying with (460), (625) gives:
% 134.70/28.29 | (632) all_2705_3 = all_141_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_329_0, all_2341_3, all_17_4,
% 134.70/28.29 | all_17_6, simplifying with (495), (616) gives:
% 134.70/28.29 | (633) all_2341_3 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_2341_3, all_2865_2, all_17_4,
% 134.70/28.29 | all_17_6, simplifying with (616), (627) gives:
% 134.70/28.29 | (634) all_2865_2 = all_2341_3
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_1055_0, all_2865_2, all_17_4,
% 134.70/28.29 | all_17_6, simplifying with (605), (627) gives:
% 134.70/28.29 | (635) all_2865_2 = all_1055_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_1051_0, all_1855_0, all_17_6,
% 134.70/28.29 | all_17_4, simplifying with (602), (614) gives:
% 134.70/28.29 | (636) all_1855_0 = all_1051_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_1855_0, all_2405_3, all_17_6,
% 134.70/28.29 | all_17_4, simplifying with (614), (618) gives:
% 134.70/28.29 | (637) all_2405_3 = all_1855_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_2405_3, all_2507_2, all_17_6,
% 134.70/28.29 | all_17_4, simplifying with (618), (623) gives:
% 134.70/28.29 | (638) all_2507_2 = all_2405_3
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_329_0, all_2507_2, all_17_6,
% 134.70/28.29 | all_17_4, simplifying with (598), (623) gives:
% 134.70/28.29 | (639) all_2507_2 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (634), (635) imply:
% 134.70/28.29 | (640) all_2341_3 = all_1055_0
% 134.70/28.29 |
% 134.70/28.29 | SIMP: (640) implies:
% 134.70/28.29 | (641) all_2341_3 = all_1055_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (638), (639) imply:
% 134.70/28.29 | (642) all_2405_3 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | SIMP: (642) implies:
% 134.70/28.29 | (643) all_2405_3 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (628), (629) imply:
% 134.70/28.29 | (644) all_157_0 = all_145_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (630), (631) imply:
% 134.70/28.29 | (645) all_1113_0 = all_141_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (637), (643) imply:
% 134.70/28.29 | (646) all_1855_0 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | SIMP: (646) implies:
% 134.70/28.29 | (647) all_1855_0 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (633), (641) imply:
% 134.70/28.29 | (648) all_1055_0 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | COMBINE_EQS: (636), (647) imply:
% 134.70/28.29 | (649) all_1051_0 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | SIMP: (649) implies:
% 134.70/28.29 | (650) all_1051_0 = all_329_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (606), (648) imply:
% 134.70/28.29 | (651) intersection(all_329_0, all_17_5) = all_327_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (603), (650) imply:
% 134.70/28.29 | (652) intersection(all_329_0, all_17_5) = all_339_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (474), (644) imply:
% 134.70/28.29 | (653) difference(all_17_5, all_145_0) = all_61_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (609), (645) imply:
% 134.70/28.29 | (654) union(all_141_0, all_69_1) = all_17_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (18) with all_69_1, all_61_0, all_145_0, all_17_5,
% 134.70/28.29 | simplifying with (465), (653) gives:
% 134.70/28.29 | (655) all_69_1 = all_61_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (20) with all_327_0, all_339_0, all_17_5,
% 134.70/28.29 | all_329_0, simplifying with (651), (652) gives:
% 134.70/28.29 | (656) all_339_0 = all_327_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (612), (656) imply:
% 134.70/28.29 | (657) union(all_327_0, all_61_1) = all_1299_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (654), (655) imply:
% 134.70/28.29 | (658) union(all_141_0, all_61_0) = all_17_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_31_1, all_1299_0, all_61_1,
% 134.70/28.29 | all_327_0, simplifying with (586), (657) gives:
% 134.70/28.29 | (659) all_1299_0 = all_31_1
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (611), (659) imply:
% 134.70/28.29 | (660) union(all_69_0, all_31_1) = all_151_0
% 134.70/28.29 |
% 134.70/28.29 | GROUND_INST: instantiating (17) with all_141_0, all_151_0, all_31_1, all_69_0,
% 134.70/28.29 | simplifying with (460), (660) gives:
% 134.70/28.29 | (661) all_151_0 = all_141_0
% 134.70/28.29 |
% 134.70/28.29 | REDUCE: (471), (661) imply:
% 134.70/28.30 | (662) union(all_141_0, all_61_0) = all_17_2
% 134.70/28.30 |
% 134.70/28.30 | GROUND_INST: instantiating (17) with all_17_0, all_17_2, all_61_0, all_141_0,
% 134.70/28.30 | simplifying with (658), (662) gives:
% 134.70/28.30 | (663) all_17_0 = all_17_2
% 134.70/28.30 |
% 134.70/28.30 | REDUCE: (22), (663) imply:
% 134.70/28.30 | (664) $false
% 134.70/28.30 |
% 134.70/28.30 | CLOSE: (664) is inconsistent.
% 134.70/28.30 |
% 134.70/28.30 End of proof
% 134.70/28.30 % SZS output end Proof for theBenchmark
% 134.70/28.30
% 134.70/28.30 27700ms
%------------------------------------------------------------------------------