TSTP Solution File: REL046+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : REL046+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n023.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 13:43:09 EDT 2023
% Result : Theorem 19.77s 3.24s
% Output : Proof 202.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 20:07:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.47/0.60 ________ _____
% 0.47/0.60 ___ __ \_________(_)________________________________
% 0.47/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.47/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.47/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.47/0.60
% 0.47/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.47/0.60 (2023-06-19)
% 0.47/0.60
% 0.47/0.60 (c) Philipp Rümmer, 2009-2023
% 0.47/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.47/0.60 Amanda Stjerna.
% 0.47/0.60 Free software under BSD-3-Clause.
% 0.47/0.60
% 0.47/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.47/0.60
% 0.47/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.47/0.61 Running up to 7 provers in parallel.
% 0.47/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.47/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.47/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.47/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.47/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.47/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.47/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.05/0.98 Prover 1: Preprocessing ...
% 2.05/0.98 Prover 4: Preprocessing ...
% 2.51/1.02 Prover 6: Preprocessing ...
% 2.51/1.02 Prover 3: Preprocessing ...
% 2.51/1.02 Prover 0: Preprocessing ...
% 2.51/1.02 Prover 5: Preprocessing ...
% 2.51/1.02 Prover 2: Preprocessing ...
% 4.18/1.27 Prover 1: Constructing countermodel ...
% 4.18/1.27 Prover 3: Constructing countermodel ...
% 4.18/1.28 Prover 6: Constructing countermodel ...
% 4.59/1.31 Prover 4: Constructing countermodel ...
% 4.59/1.33 Prover 0: Proving ...
% 4.59/1.33 Prover 5: Proving ...
% 5.18/1.38 Prover 2: Proving ...
% 19.77/3.24 Prover 0: proved (2619ms)
% 19.77/3.24
% 19.77/3.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.77/3.24
% 19.77/3.24 Prover 5: stopped
% 19.77/3.24 Prover 3: stopped
% 19.77/3.25 Prover 2: stopped
% 19.77/3.27 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 19.77/3.27 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 19.77/3.27 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.77/3.27 Prover 8: Preprocessing ...
% 19.77/3.27 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 19.77/3.27 Prover 6: stopped
% 19.77/3.27 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 19.77/3.27 Prover 7: Preprocessing ...
% 19.77/3.27 Prover 10: Preprocessing ...
% 19.77/3.29 Prover 11: Preprocessing ...
% 19.77/3.29 Prover 13: Preprocessing ...
% 19.77/3.31 Prover 8: Warning: ignoring some quantifiers
% 19.77/3.32 Prover 8: Constructing countermodel ...
% 20.52/3.34 Prover 10: Constructing countermodel ...
% 20.52/3.34 Prover 11: Constructing countermodel ...
% 20.52/3.35 Prover 7: Constructing countermodel ...
% 20.52/3.36 Prover 13: Warning: ignoring some quantifiers
% 20.52/3.36 Prover 13: Constructing countermodel ...
% 65.28/9.09 Prover 13: stopped
% 65.28/9.11 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 66.01/9.12 Prover 16: Preprocessing ...
% 66.61/9.22 Prover 16: Warning: ignoring some quantifiers
% 66.61/9.23 Prover 16: Constructing countermodel ...
% 111.83/15.07 Prover 16: stopped
% 111.83/15.07 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 111.83/15.08 Prover 19: Preprocessing ...
% 112.53/15.14 Prover 19: Warning: ignoring some quantifiers
% 112.53/15.16 Prover 19: Constructing countermodel ...
% 118.67/15.97 Prover 1: stopped
% 140.23/18.86 Prover 19: stopped
% 200.27/27.57 Prover 7: stopped
% 200.90/27.69 Prover 11: Found proof (size 460)
% 200.90/27.70 Prover 11: proved (24427ms)
% 201.16/27.70 Prover 4: stopped
% 201.16/27.71 Prover 8: stopped
% 201.16/27.71 Prover 10: stopped
% 201.16/27.71
% 201.16/27.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.16/27.71
% 201.31/27.79 % SZS output start Proof for theBenchmark
% 201.31/27.79 Assumptions after simplification:
% 201.31/27.79 ---------------------------------
% 201.31/27.79
% 201.31/27.79 (converse_additivity)
% 201.31/27.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 201.31/27.83 (converse(v1) = v3) | ~ (converse(v0) = v2) | ~ (join(v2, v3) = v4) | ~
% 201.31/27.83 $i(v1) | ~ $i(v0) | ? [v5: $i] : (converse(v5) = v4 & join(v0, v1) = v5 &
% 201.31/27.83 $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 201.31/27.83 (join(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ?
% 201.31/27.83 [v5: $i] : (converse(v2) = v3 & converse(v1) = v5 & converse(v0) = v4 &
% 201.31/27.83 join(v4, v5) = v3 & $i(v5) & $i(v4) & $i(v3)))
% 201.31/27.83
% 201.31/27.83 (converse_idempotence)
% 201.31/27.83 ! [v0: $i] : ! [v1: $i] : ( ~ (converse(v0) = v1) | ~ $i(v0) | converse(v1)
% 201.31/27.83 = v0)
% 201.31/27.83
% 201.31/27.83 (def_zero)
% 201.31/27.83 $i(zero) & ! [v0: $i] : ! [v1: $i] : ( ~ (complement(v0) = v1) | ~ $i(v0) |
% 201.31/27.83 meet(v0, v1) = zero)
% 201.31/27.83
% 201.31/27.83 (goals)
% 201.54/27.83 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 201.54/27.83 $i] : (meet(v1, v2) = v3 & join(v0, v3) = v3 & $i(v3) & $i(v2) & $i(v1) &
% 201.54/27.83 $i(v0) & (( ~ (v5 = v2) & join(v0, v2) = v5 & $i(v5)) | ( ~ (v4 = v1) &
% 201.54/27.83 join(v0, v1) = v4 & $i(v4))))
% 201.54/27.83
% 201.54/27.83 (maddux1_join_commutativity)
% 201.54/27.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (join(v1, v0) = v2) | ~ $i(v1)
% 201.54/27.83 | ~ $i(v0) | (join(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] : !
% 201.54/27.83 [v2: $i] : ( ~ (join(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | (join(v1, v0) =
% 201.54/27.83 v2 & $i(v2)))
% 201.54/27.83
% 201.54/27.83 (maddux2_join_associativity)
% 201.54/27.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 201.54/27.84 (join(v3, v2) = v4) | ~ (join(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 201.54/27.84 $i(v0) | ? [v5: $i] : (join(v1, v2) = v5 & join(v0, v5) = v4 & $i(v5) &
% 201.54/27.84 $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 201.54/27.84 $i] : ( ~ (join(v1, v2) = v3) | ~ (join(v0, v3) = v4) | ~ $i(v2) | ~
% 201.54/27.84 $i(v1) | ~ $i(v0) | ? [v5: $i] : (join(v5, v2) = v4 & join(v0, v1) = v5 &
% 201.54/27.84 $i(v5) & $i(v4)))
% 201.54/27.84
% 201.54/27.84 (maddux3_a_kind_of_de_Morgan)
% 201.54/27.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 201.54/27.84 (complement(v1) = v3) | ~ (complement(v0) = v2) | ~ (join(v2, v3) = v4) |
% 201.54/27.84 ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 201.54/27.84 (complement(v6) = v7 & complement(v4) = v5 & join(v5, v7) = v0 & join(v2,
% 201.54/27.84 v1) = v6 & $i(v7) & $i(v6) & $i(v5))) & ! [v0: $i] : ! [v1: $i] : !
% 201.54/27.84 [v2: $i] : ! [v3: $i] : ( ~ (complement(v0) = v2) | ~ (join(v2, v1) = v3) |
% 201.54/27.84 ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 201.54/27.84 : (complement(v5) = v6 & complement(v3) = v7 & complement(v1) = v4 &
% 201.54/27.84 join(v6, v7) = v0 & join(v2, v4) = v5 & $i(v7) & $i(v6) & $i(v5) &
% 201.54/27.84 $i(v4)))
% 201.54/27.84
% 201.54/27.84 (maddux4_definiton_of_meet)
% 201.54/27.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 201.54/27.84 (complement(v1) = v3) | ~ (complement(v0) = v2) | ~ (join(v2, v3) = v4) |
% 201.54/27.84 ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (meet(v0, v1) = v5 & complement(v4) =
% 201.54/27.84 v5 & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (meet(v0,
% 201.54/27.84 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 201.54/27.84 $i] : (complement(v5) = v2 & complement(v1) = v4 & complement(v0) = v3 &
% 201.54/27.84 join(v3, v4) = v5 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 201.54/27.84
% 201.54/27.84 (function-axioms)
% 201.54/27.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 201.54/27.85 (composition(v3, v2) = v1) | ~ (composition(v3, v2) = v0)) & ! [v0: $i] :
% 201.54/27.85 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (meet(v3, v2) = v1) |
% 201.54/27.85 ~ (meet(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 201.54/27.85 $i] : (v1 = v0 | ~ (join(v3, v2) = v1) | ~ (join(v3, v2) = v0)) & ! [v0:
% 201.54/27.85 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (converse(v2) = v1) | ~
% 201.54/27.85 (converse(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 201.54/27.85 ~ (complement(v2) = v1) | ~ (complement(v2) = v0))
% 201.54/27.85
% 201.54/27.85 Further assumptions not needed in the proof:
% 201.54/27.85 --------------------------------------------
% 201.54/27.85 composition_associativity, composition_distributivity, composition_identity,
% 201.54/27.85 converse_cancellativity, converse_multiplicativity, def_top
% 201.54/27.85
% 201.54/27.85 Those formulas are unsatisfiable:
% 201.54/27.85 ---------------------------------
% 201.54/27.85
% 201.54/27.85 Begin of proof
% 201.54/27.85 |
% 201.54/27.85 | ALPHA: (maddux1_join_commutativity) implies:
% 201.54/27.85 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (join(v1, v0) = v2) | ~
% 201.54/27.85 | $i(v1) | ~ $i(v0) | (join(v0, v1) = v2 & $i(v2)))
% 201.54/27.85 |
% 201.54/27.85 | ALPHA: (maddux2_join_associativity) implies:
% 201.54/27.85 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 201.54/27.85 | ~ (join(v1, v2) = v3) | ~ (join(v0, v3) = v4) | ~ $i(v2) | ~
% 201.54/27.85 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (join(v5, v2) = v4 & join(v0, v1)
% 201.54/27.85 | = v5 & $i(v5) & $i(v4)))
% 201.54/27.85 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 201.54/27.85 | ~ (join(v3, v2) = v4) | ~ (join(v0, v1) = v3) | ~ $i(v2) | ~
% 201.54/27.85 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (join(v1, v2) = v5 & join(v0, v5)
% 201.54/27.85 | = v4 & $i(v5) & $i(v4)))
% 201.54/27.85 |
% 201.54/27.85 | ALPHA: (maddux3_a_kind_of_de_Morgan) implies:
% 201.54/27.86 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 201.54/27.86 | (complement(v0) = v2) | ~ (join(v2, v1) = v3) | ~ $i(v1) | ~
% 201.54/27.86 | $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 201.54/27.86 | (complement(v5) = v6 & complement(v3) = v7 & complement(v1) = v4 &
% 201.54/27.86 | join(v6, v7) = v0 & join(v2, v4) = v5 & $i(v7) & $i(v6) & $i(v5) &
% 201.54/27.86 | $i(v4)))
% 201.54/27.86 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 201.54/27.86 | ~ (complement(v1) = v3) | ~ (complement(v0) = v2) | ~ (join(v2, v3)
% 201.54/27.86 | = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7:
% 201.54/27.86 | $i] : (complement(v6) = v7 & complement(v4) = v5 & join(v5, v7) =
% 201.54/27.86 | v0 & join(v2, v1) = v6 & $i(v7) & $i(v6) & $i(v5)))
% 201.54/27.86 |
% 201.54/27.86 | ALPHA: (maddux4_definiton_of_meet) implies:
% 201.54/27.86 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (meet(v0, v1) = v2) | ~
% 201.54/27.86 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 201.54/27.86 | (complement(v5) = v2 & complement(v1) = v4 & complement(v0) = v3 &
% 201.54/27.86 | join(v3, v4) = v5 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 201.54/27.86 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 201.54/27.86 | ~ (complement(v1) = v3) | ~ (complement(v0) = v2) | ~ (join(v2, v3)
% 201.54/27.86 | = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (meet(v0, v1) = v5 &
% 201.54/27.86 | complement(v4) = v5 & $i(v5)))
% 201.54/27.86 |
% 201.54/27.86 | ALPHA: (converse_additivity) implies:
% 201.54/27.86 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (join(v0, v1) = v2) | ~
% 201.54/27.86 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 201.54/27.86 | (converse(v2) = v3 & converse(v1) = v5 & converse(v0) = v4 & join(v4,
% 201.54/27.86 | v5) = v3 & $i(v5) & $i(v4) & $i(v3)))
% 201.54/27.86 |
% 201.54/27.86 | ALPHA: (def_zero) implies:
% 201.54/27.86 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (complement(v0) = v1) | ~ $i(v0) |
% 201.54/27.86 | meet(v0, v1) = zero)
% 201.54/27.86 |
% 201.54/27.86 | ALPHA: (function-axioms) implies:
% 201.54/27.86 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 201.54/27.86 | (complement(v2) = v1) | ~ (complement(v2) = v0))
% 201.54/27.86 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (converse(v2)
% 201.54/27.86 | = v1) | ~ (converse(v2) = v0))
% 201.54/27.86 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 201.54/27.86 | (join(v3, v2) = v1) | ~ (join(v3, v2) = v0))
% 201.54/27.86 |
% 201.54/27.87 | DELTA: instantiating (goals) with fresh symbols all_17_0, all_17_1, all_17_2,
% 201.54/27.87 | all_17_3, all_17_4, all_17_5 gives:
% 201.54/27.87 | (13) meet(all_17_4, all_17_3) = all_17_2 & join(all_17_5, all_17_2) =
% 201.54/27.87 | all_17_2 & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) & $i(all_17_5) &
% 201.54/27.87 | (( ~ (all_17_0 = all_17_3) & join(all_17_5, all_17_3) = all_17_0 &
% 201.54/27.87 | $i(all_17_0)) | ( ~ (all_17_1 = all_17_4) & join(all_17_5,
% 201.54/27.87 | all_17_4) = all_17_1 & $i(all_17_1)))
% 201.54/27.87 |
% 201.54/27.87 | ALPHA: (13) implies:
% 201.54/27.87 | (14) $i(all_17_5)
% 201.54/27.87 | (15) $i(all_17_4)
% 201.54/27.87 | (16) $i(all_17_3)
% 201.54/27.87 | (17) $i(all_17_2)
% 201.54/27.87 | (18) join(all_17_5, all_17_2) = all_17_2
% 201.54/27.87 | (19) meet(all_17_4, all_17_3) = all_17_2
% 201.54/27.87 | (20) ( ~ (all_17_0 = all_17_3) & join(all_17_5, all_17_3) = all_17_0 &
% 201.54/27.87 | $i(all_17_0)) | ( ~ (all_17_1 = all_17_4) & join(all_17_5, all_17_4)
% 201.54/27.87 | = all_17_1 & $i(all_17_1))
% 201.54/27.87 |
% 201.54/27.87 | GROUND_INST: instantiating (2) with all_17_5, all_17_5, all_17_2, all_17_2,
% 201.54/27.87 | all_17_2, simplifying with (14), (17), (18) gives:
% 201.54/27.87 | (21) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_17_5,
% 201.54/27.87 | all_17_5) = v0 & $i(v0))
% 201.54/27.87 |
% 201.54/27.87 | GROUND_INST: instantiating (1) with all_17_2, all_17_5, all_17_2, simplifying
% 201.54/27.87 | with (14), (17), (18) gives:
% 201.54/27.87 | (22) join(all_17_2, all_17_5) = all_17_2
% 201.54/27.87 |
% 201.54/27.87 | GROUND_INST: instantiating (8) with all_17_5, all_17_2, all_17_2, simplifying
% 201.54/27.87 | with (14), (17), (18) gives:
% 201.54/27.87 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_17_2) = v2 &
% 201.54/27.87 | converse(all_17_2) = v0 & converse(all_17_5) = v1 & join(v1, v2) =
% 201.54/27.87 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.54/27.87 |
% 201.54/27.87 | GROUND_INST: instantiating (6) with all_17_4, all_17_3, all_17_2, simplifying
% 201.54/27.87 | with (15), (16), (19) gives:
% 201.54/27.87 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (complement(v2) = all_17_2 &
% 201.54/27.87 | complement(all_17_3) = v1 & complement(all_17_4) = v0 & join(v0, v1)
% 201.54/27.87 | = v2 & $i(v2) & $i(v1) & $i(v0) & $i(all_17_2))
% 201.54/27.87 |
% 201.54/27.87 | DELTA: instantiating (21) with fresh symbol all_25_0 gives:
% 201.54/27.87 | (25) join(all_25_0, all_17_2) = all_17_2 & join(all_17_5, all_17_5) =
% 201.54/27.87 | all_25_0 & $i(all_25_0)
% 201.54/27.87 |
% 201.54/27.87 | ALPHA: (25) implies:
% 201.54/27.87 | (26) $i(all_25_0)
% 201.54/27.87 | (27) join(all_17_5, all_17_5) = all_25_0
% 201.54/27.87 | (28) join(all_25_0, all_17_2) = all_17_2
% 201.54/27.87 |
% 201.54/27.87 | DELTA: instantiating (23) with fresh symbols all_27_0, all_27_1, all_27_2
% 201.54/27.87 | gives:
% 201.54/27.88 | (29) converse(all_17_2) = all_27_0 & converse(all_17_2) = all_27_2 &
% 201.54/27.88 | converse(all_17_5) = all_27_1 & join(all_27_1, all_27_0) = all_27_2 &
% 201.54/27.88 | $i(all_27_0) & $i(all_27_1) & $i(all_27_2)
% 201.54/27.88 |
% 201.54/27.88 | ALPHA: (29) implies:
% 201.54/27.88 | (30) $i(all_27_1)
% 201.54/27.88 | (31) $i(all_27_0)
% 201.54/27.88 | (32) join(all_27_1, all_27_0) = all_27_2
% 201.54/27.88 | (33) converse(all_17_5) = all_27_1
% 201.54/27.88 | (34) converse(all_17_2) = all_27_2
% 201.54/27.88 | (35) converse(all_17_2) = all_27_0
% 201.54/27.88 |
% 201.54/27.88 | DELTA: instantiating (24) with fresh symbols all_29_0, all_29_1, all_29_2
% 201.54/27.88 | gives:
% 201.54/27.88 | (36) complement(all_29_0) = all_17_2 & complement(all_17_3) = all_29_1 &
% 201.54/27.88 | complement(all_17_4) = all_29_2 & join(all_29_2, all_29_1) = all_29_0
% 201.54/27.88 | & $i(all_29_0) & $i(all_29_1) & $i(all_29_2) & $i(all_17_2)
% 201.54/27.88 |
% 201.54/27.88 | ALPHA: (36) implies:
% 201.54/27.88 | (37) $i(all_29_2)
% 201.54/27.88 | (38) $i(all_29_1)
% 201.54/27.88 | (39) join(all_29_2, all_29_1) = all_29_0
% 201.54/27.88 | (40) complement(all_17_4) = all_29_2
% 201.54/27.88 | (41) complement(all_17_3) = all_29_1
% 201.54/27.88 | (42) complement(all_29_0) = all_17_2
% 201.54/27.88 |
% 201.54/27.88 | GROUND_INST: instantiating (11) with all_27_2, all_27_0, all_17_2, simplifying
% 201.54/27.88 | with (34), (35) gives:
% 201.54/27.88 | (43) all_27_0 = all_27_2
% 201.54/27.88 |
% 201.54/27.88 | REDUCE: (32), (43) imply:
% 201.54/27.88 | (44) join(all_27_1, all_27_2) = all_27_2
% 201.54/27.88 |
% 201.54/27.88 | REDUCE: (31), (43) imply:
% 201.54/27.88 | (45) $i(all_27_2)
% 201.54/27.88 |
% 201.54/27.88 | GROUND_INST: instantiating (8) with all_17_5, all_17_5, all_25_0, simplifying
% 201.54/27.88 | with (14), (27) gives:
% 201.54/27.88 | (46) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_25_0) = v0 &
% 201.54/27.88 | converse(all_17_5) = v2 & converse(all_17_5) = v1 & join(v1, v2) =
% 201.54/27.88 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.54/27.88 |
% 201.54/27.88 | GROUND_INST: instantiating (3) with all_17_2, all_17_5, all_17_5, all_17_2,
% 201.54/27.88 | all_17_2, simplifying with (14), (17), (22) gives:
% 201.54/27.88 | (47) ? [v0: $i] : (join(all_17_2, v0) = all_17_2 & join(all_17_5,
% 201.54/27.88 | all_17_5) = v0 & $i(v0))
% 201.54/27.88 |
% 201.54/27.88 | GROUND_INST: instantiating (8) with all_17_2, all_17_5, all_17_2, simplifying
% 201.54/27.88 | with (14), (17), (22) gives:
% 201.54/27.88 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_17_2) = v1 &
% 201.54/27.88 | converse(all_17_2) = v0 & converse(all_17_5) = v2 & join(v1, v2) =
% 201.54/27.88 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.54/27.88 |
% 201.54/27.88 | GROUND_INST: instantiating (2) with all_17_5, all_25_0, all_17_2, all_17_2,
% 201.54/27.88 | all_17_2, simplifying with (14), (17), (18), (26), (28) gives:
% 201.54/27.88 | (49) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_17_5,
% 201.54/27.88 | all_25_0) = v0 & $i(v0))
% 201.54/27.88 |
% 201.54/27.89 | GROUND_INST: instantiating (2) with all_25_0, all_17_5, all_17_2, all_17_2,
% 201.54/27.89 | all_17_2, simplifying with (14), (17), (18), (26), (28) gives:
% 201.54/27.89 | (50) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_25_0,
% 201.54/27.89 | all_17_5) = v0 & $i(v0))
% 201.54/27.89 |
% 201.54/27.89 | GROUND_INST: instantiating (2) with all_25_0, all_25_0, all_17_2, all_17_2,
% 201.54/27.89 | all_17_2, simplifying with (17), (26), (28) gives:
% 201.54/27.89 | (51) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_25_0,
% 201.54/27.89 | all_25_0) = v0 & $i(v0))
% 201.54/27.89 |
% 201.54/27.89 | GROUND_INST: instantiating (8) with all_25_0, all_17_2, all_17_2, simplifying
% 201.54/27.89 | with (17), (26), (28) gives:
% 201.54/27.89 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_25_0) = v1 &
% 201.54/27.89 | converse(all_17_2) = v2 & converse(all_17_2) = v0 & join(v1, v2) =
% 201.54/27.89 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.54/27.89 |
% 201.54/27.89 | GROUND_INST: instantiating (2) with all_27_1, all_27_1, all_27_2, all_27_2,
% 201.54/27.89 | all_27_2, simplifying with (30), (44), (45) gives:
% 201.54/27.89 | (53) ? [v0: $i] : (join(v0, all_27_2) = all_27_2 & join(all_27_1,
% 201.54/27.89 | all_27_1) = v0 & $i(v0))
% 201.54/27.89 |
% 201.54/27.89 | GROUND_INST: instantiating (8) with all_27_1, all_27_2, all_27_2, simplifying
% 201.54/27.89 | with (30), (44), (45) gives:
% 201.54/27.89 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_27_1) = v1 &
% 201.54/27.89 | converse(all_27_2) = v2 & converse(all_27_2) = v0 & join(v1, v2) =
% 201.54/27.89 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.54/27.89 |
% 201.54/27.89 | GROUND_INST: instantiating (1) with all_29_1, all_29_2, all_29_0, simplifying
% 201.54/27.89 | with (37), (38), (39) gives:
% 201.54/27.89 | (55) join(all_29_1, all_29_2) = all_29_0 & $i(all_29_0)
% 201.54/27.89 |
% 201.54/27.89 | ALPHA: (55) implies:
% 201.54/27.89 | (56) $i(all_29_0)
% 201.54/27.89 | (57) join(all_29_1, all_29_2) = all_29_0
% 201.54/27.89 |
% 201.54/27.89 | GROUND_INST: instantiating (4) with all_17_4, all_29_1, all_29_2, all_29_0,
% 201.54/27.89 | simplifying with (15), (38), (39), (40) gives:
% 201.54/27.89 | (58) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 201.54/27.89 | (complement(v1) = v2 & complement(all_29_0) = v3 &
% 201.54/27.89 | complement(all_29_1) = v0 & join(v2, v3) = all_17_4 & join(all_29_2,
% 201.54/27.89 | v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 201.54/27.89 |
% 201.86/27.89 | GROUND_INST: instantiating (5) with all_17_4, all_17_3, all_29_2, all_29_1,
% 201.86/27.89 | all_29_0, simplifying with (15), (16), (39), (40), (41) gives:
% 201.86/27.89 | (59) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (complement(v1) = v2 &
% 201.86/27.89 | complement(all_29_0) = v0 & join(v0, v2) = all_17_4 & join(all_29_2,
% 201.86/27.89 | all_17_3) = v1 & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.89 |
% 201.86/27.90 | GROUND_INST: instantiating (4) with all_29_0, all_17_5, all_17_2, all_17_2,
% 201.86/27.90 | simplifying with (14), (22), (42), (56) gives:
% 201.86/27.90 | (60) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 201.86/27.90 | (complement(v1) = v2 & complement(all_17_2) = v3 &
% 201.86/27.90 | complement(all_17_5) = v0 & join(v2, v3) = all_29_0 & join(all_17_2,
% 201.86/27.90 | v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.90 |
% 201.86/27.90 | GROUND_INST: instantiating (9) with all_29_0, all_17_2, simplifying with (42),
% 201.86/27.90 | (56) gives:
% 201.86/27.90 | (61) meet(all_29_0, all_17_2) = zero
% 201.86/27.90 |
% 201.86/27.90 | GROUND_INST: instantiating (converse_idempotence) with all_17_5, all_27_1,
% 201.86/27.90 | simplifying with (14), (33) gives:
% 201.86/27.90 | (62) converse(all_27_1) = all_17_5
% 201.86/27.90 |
% 201.86/27.90 | GROUND_INST: instantiating (converse_idempotence) with all_17_2, all_27_2,
% 201.86/27.90 | simplifying with (17), (34) gives:
% 201.86/27.90 | (63) converse(all_27_2) = all_17_2
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (51) with fresh symbol all_41_0 gives:
% 201.86/27.90 | (64) join(all_41_0, all_17_2) = all_17_2 & join(all_25_0, all_25_0) =
% 201.86/27.90 | all_41_0 & $i(all_41_0)
% 201.86/27.90 |
% 201.86/27.90 | ALPHA: (64) implies:
% 201.86/27.90 | (65) $i(all_41_0)
% 201.86/27.90 | (66) join(all_25_0, all_25_0) = all_41_0
% 201.86/27.90 | (67) join(all_41_0, all_17_2) = all_17_2
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (47) with fresh symbol all_43_0 gives:
% 201.86/27.90 | (68) join(all_17_2, all_43_0) = all_17_2 & join(all_17_5, all_17_5) =
% 201.86/27.90 | all_43_0 & $i(all_43_0)
% 201.86/27.90 |
% 201.86/27.90 | ALPHA: (68) implies:
% 201.86/27.90 | (69) $i(all_43_0)
% 201.86/27.90 | (70) join(all_17_5, all_17_5) = all_43_0
% 201.86/27.90 | (71) join(all_17_2, all_43_0) = all_17_2
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (53) with fresh symbol all_45_0 gives:
% 201.86/27.90 | (72) join(all_45_0, all_27_2) = all_27_2 & join(all_27_1, all_27_1) =
% 201.86/27.90 | all_45_0 & $i(all_45_0)
% 201.86/27.90 |
% 201.86/27.90 | ALPHA: (72) implies:
% 201.86/27.90 | (73) join(all_27_1, all_27_1) = all_45_0
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (50) with fresh symbol all_47_0 gives:
% 201.86/27.90 | (74) join(all_47_0, all_17_2) = all_17_2 & join(all_25_0, all_17_5) =
% 201.86/27.90 | all_47_0 & $i(all_47_0)
% 201.86/27.90 |
% 201.86/27.90 | ALPHA: (74) implies:
% 201.86/27.90 | (75) join(all_25_0, all_17_5) = all_47_0
% 201.86/27.90 | (76) join(all_47_0, all_17_2) = all_17_2
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (49) with fresh symbol all_49_0 gives:
% 201.86/27.90 | (77) join(all_49_0, all_17_2) = all_17_2 & join(all_17_5, all_25_0) =
% 201.86/27.90 | all_49_0 & $i(all_49_0)
% 201.86/27.90 |
% 201.86/27.90 | ALPHA: (77) implies:
% 201.86/27.90 | (78) join(all_17_5, all_25_0) = all_49_0
% 201.86/27.90 | (79) join(all_49_0, all_17_2) = all_17_2
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (46) with fresh symbols all_51_0, all_51_1, all_51_2
% 201.86/27.90 | gives:
% 201.86/27.90 | (80) converse(all_25_0) = all_51_2 & converse(all_17_5) = all_51_0 &
% 201.86/27.90 | converse(all_17_5) = all_51_1 & join(all_51_1, all_51_0) = all_51_2 &
% 201.86/27.90 | $i(all_51_0) & $i(all_51_1) & $i(all_51_2)
% 201.86/27.90 |
% 201.86/27.90 | ALPHA: (80) implies:
% 201.86/27.90 | (81) $i(all_51_1)
% 201.86/27.90 | (82) join(all_51_1, all_51_0) = all_51_2
% 201.86/27.90 | (83) converse(all_17_5) = all_51_1
% 201.86/27.90 | (84) converse(all_17_5) = all_51_0
% 201.86/27.90 | (85) converse(all_25_0) = all_51_2
% 201.86/27.90 |
% 201.86/27.90 | DELTA: instantiating (48) with fresh symbols all_53_0, all_53_1, all_53_2
% 201.86/27.91 | gives:
% 201.86/27.91 | (86) converse(all_17_2) = all_53_1 & converse(all_17_2) = all_53_2 &
% 201.86/27.91 | converse(all_17_5) = all_53_0 & join(all_53_1, all_53_0) = all_53_2 &
% 201.86/27.91 | $i(all_53_0) & $i(all_53_1) & $i(all_53_2)
% 201.86/27.91 |
% 201.86/27.91 | ALPHA: (86) implies:
% 201.86/27.91 | (87) $i(all_53_2)
% 201.86/27.91 | (88) converse(all_17_5) = all_53_0
% 201.86/27.91 | (89) converse(all_17_2) = all_53_2
% 201.86/27.91 | (90) converse(all_17_2) = all_53_1
% 201.86/27.91 |
% 201.86/27.91 | DELTA: instantiating (59) with fresh symbols all_55_0, all_55_1, all_55_2
% 201.86/27.91 | gives:
% 201.86/27.91 | (91) complement(all_55_1) = all_55_0 & complement(all_29_0) = all_55_2 &
% 201.86/27.91 | join(all_55_2, all_55_0) = all_17_4 & join(all_29_2, all_17_3) =
% 201.86/27.91 | all_55_1 & $i(all_55_0) & $i(all_55_1) & $i(all_55_2)
% 201.86/27.91 |
% 201.86/27.91 | ALPHA: (91) implies:
% 201.86/27.91 | (92) $i(all_55_2)
% 201.86/27.91 | (93) $i(all_55_0)
% 201.86/27.91 | (94) join(all_55_2, all_55_0) = all_17_4
% 201.86/27.91 | (95) complement(all_29_0) = all_55_2
% 201.86/27.91 |
% 201.86/27.91 | DELTA: instantiating (54) with fresh symbols all_57_0, all_57_1, all_57_2
% 201.86/27.91 | gives:
% 201.86/27.91 | (96) converse(all_27_1) = all_57_1 & converse(all_27_2) = all_57_0 &
% 201.86/27.91 | converse(all_27_2) = all_57_2 & join(all_57_1, all_57_0) = all_57_2 &
% 201.86/27.91 | $i(all_57_0) & $i(all_57_1) & $i(all_57_2)
% 201.86/27.91 |
% 201.86/27.91 | ALPHA: (96) implies:
% 201.86/27.91 | (97) $i(all_57_1)
% 201.86/27.91 | (98) join(all_57_1, all_57_0) = all_57_2
% 201.86/27.91 | (99) converse(all_27_2) = all_57_2
% 201.86/27.91 | (100) converse(all_27_2) = all_57_0
% 201.86/27.91 | (101) converse(all_27_1) = all_57_1
% 201.86/27.91 |
% 201.86/27.91 | DELTA: instantiating (52) with fresh symbols all_61_0, all_61_1, all_61_2
% 201.86/27.91 | gives:
% 201.86/27.91 | (102) converse(all_25_0) = all_61_1 & converse(all_17_2) = all_61_0 &
% 201.86/27.91 | converse(all_17_2) = all_61_2 & join(all_61_1, all_61_0) = all_61_2 &
% 201.86/27.91 | $i(all_61_0) & $i(all_61_1) & $i(all_61_2)
% 201.86/27.91 |
% 201.86/27.91 | ALPHA: (102) implies:
% 201.86/27.91 | (103) $i(all_61_1)
% 201.86/27.91 | (104) join(all_61_1, all_61_0) = all_61_2
% 201.86/27.91 | (105) converse(all_17_2) = all_61_2
% 201.86/27.91 | (106) converse(all_17_2) = all_61_0
% 201.86/27.91 | (107) converse(all_25_0) = all_61_1
% 201.86/27.91 |
% 201.86/27.91 | DELTA: instantiating (58) with fresh symbols all_63_0, all_63_1, all_63_2,
% 201.86/27.91 | all_63_3 gives:
% 201.86/27.91 | (108) complement(all_63_2) = all_63_1 & complement(all_29_0) = all_63_0 &
% 201.86/27.91 | complement(all_29_1) = all_63_3 & join(all_63_1, all_63_0) = all_17_4
% 201.86/27.91 | & join(all_29_2, all_63_3) = all_63_2 & $i(all_63_0) & $i(all_63_1) &
% 201.86/27.91 | $i(all_63_2) & $i(all_63_3)
% 201.86/27.91 |
% 201.86/27.91 | ALPHA: (108) implies:
% 201.86/27.91 | (109) complement(all_29_0) = all_63_0
% 201.86/27.91 |
% 201.86/27.91 | DELTA: instantiating (60) with fresh symbols all_65_0, all_65_1, all_65_2,
% 201.86/27.91 | all_65_3 gives:
% 201.86/27.91 | (110) complement(all_65_2) = all_65_1 & complement(all_17_2) = all_65_0 &
% 201.86/27.91 | complement(all_17_5) = all_65_3 & join(all_65_1, all_65_0) = all_29_0
% 201.86/27.91 | & join(all_17_2, all_65_3) = all_65_2 & $i(all_65_0) & $i(all_65_1) &
% 201.86/27.91 | $i(all_65_2) & $i(all_65_3)
% 201.86/27.91 |
% 201.86/27.91 | ALPHA: (110) implies:
% 201.86/27.91 | (111) $i(all_65_3)
% 201.86/27.92 | (112) $i(all_65_1)
% 201.86/27.92 | (113) $i(all_65_0)
% 201.86/27.92 | (114) join(all_17_2, all_65_3) = all_65_2
% 201.86/27.92 | (115) join(all_65_1, all_65_0) = all_29_0
% 201.86/27.92 | (116) complement(all_17_2) = all_65_0
% 201.86/27.92 | (117) complement(all_65_2) = all_65_1
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (12) with all_25_0, all_43_0, all_17_5, all_17_5,
% 201.86/27.92 | simplifying with (27), (70) gives:
% 201.86/27.92 | (118) all_43_0 = all_25_0
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (10) with all_17_2, all_63_0, all_29_0, simplifying
% 201.86/27.92 | with (42), (109) gives:
% 201.86/27.92 | (119) all_63_0 = all_17_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (10) with all_55_2, all_63_0, all_29_0, simplifying
% 201.86/27.92 | with (95), (109) gives:
% 201.86/27.92 | (120) all_63_0 = all_55_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_27_1, all_51_0, all_17_5, simplifying
% 201.86/27.92 | with (33), (84) gives:
% 201.86/27.92 | (121) all_51_0 = all_27_1
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_51_0, all_53_0, all_17_5, simplifying
% 201.86/27.92 | with (84), (88) gives:
% 201.86/27.92 | (122) all_53_0 = all_51_0
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_51_1, all_53_0, all_17_5, simplifying
% 201.86/27.92 | with (83), (88) gives:
% 201.86/27.92 | (123) all_53_0 = all_51_1
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_53_1, all_61_2, all_17_2, simplifying
% 201.86/27.92 | with (90), (105) gives:
% 201.86/27.92 | (124) all_61_2 = all_53_1
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_53_2, all_61_2, all_17_2, simplifying
% 201.86/27.92 | with (89), (105) gives:
% 201.86/27.92 | (125) all_61_2 = all_53_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_27_2, all_61_0, all_17_2, simplifying
% 201.86/27.92 | with (34), (106) gives:
% 201.86/27.92 | (126) all_61_0 = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_53_1, all_61_0, all_17_2, simplifying
% 201.86/27.92 | with (90), (106) gives:
% 201.86/27.92 | (127) all_61_0 = all_53_1
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_51_2, all_61_1, all_25_0, simplifying
% 201.86/27.92 | with (85), (107) gives:
% 201.86/27.92 | (128) all_61_1 = all_51_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_57_2, all_57_0, all_27_2, simplifying
% 201.86/27.92 | with (99), (100) gives:
% 201.86/27.92 | (129) all_57_0 = all_57_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_17_2, all_57_0, all_27_2, simplifying
% 201.86/27.92 | with (63), (100) gives:
% 201.86/27.92 | (130) all_57_0 = all_17_2
% 201.86/27.92 |
% 201.86/27.92 | GROUND_INST: instantiating (11) with all_17_5, all_57_1, all_27_1, simplifying
% 201.86/27.92 | with (62), (101) gives:
% 201.86/27.92 | (131) all_57_1 = all_17_5
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (119), (120) imply:
% 201.86/27.92 | (132) all_55_2 = all_17_2
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (126), (127) imply:
% 201.86/27.92 | (133) all_53_1 = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | SIMP: (133) implies:
% 201.86/27.92 | (134) all_53_1 = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (124), (125) imply:
% 201.86/27.92 | (135) all_53_1 = all_53_2
% 201.86/27.92 |
% 201.86/27.92 | SIMP: (135) implies:
% 201.86/27.92 | (136) all_53_1 = all_53_2
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (129), (130) imply:
% 201.86/27.92 | (137) all_57_2 = all_17_2
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (122), (123) imply:
% 201.86/27.92 | (138) all_51_0 = all_51_1
% 201.86/27.92 |
% 201.86/27.92 | SIMP: (138) implies:
% 201.86/27.92 | (139) all_51_0 = all_51_1
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (134), (136) imply:
% 201.86/27.92 | (140) all_53_2 = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | SIMP: (140) implies:
% 201.86/27.92 | (141) all_53_2 = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (121), (139) imply:
% 201.86/27.92 | (142) all_51_1 = all_27_1
% 201.86/27.92 |
% 201.86/27.92 | COMBINE_EQS: (125), (141) imply:
% 201.86/27.92 | (143) all_61_2 = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | REDUCE: (104), (126), (128), (143) imply:
% 201.86/27.92 | (144) join(all_51_2, all_27_2) = all_27_2
% 201.86/27.92 |
% 201.86/27.92 | REDUCE: (94), (132) imply:
% 201.86/27.93 | (145) join(all_17_2, all_55_0) = all_17_4
% 201.86/27.93 |
% 201.86/27.93 | REDUCE: (82), (121), (142) imply:
% 201.86/27.93 | (146) join(all_27_1, all_27_1) = all_51_2
% 201.86/27.93 |
% 201.86/27.93 | REDUCE: (71), (118) imply:
% 201.86/27.93 | (147) join(all_17_2, all_25_0) = all_17_2
% 201.86/27.93 |
% 201.86/27.93 | REDUCE: (103), (128) imply:
% 201.86/27.93 | (148) $i(all_51_2)
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (12) with all_45_0, all_51_2, all_27_1, all_27_1,
% 201.86/27.93 | simplifying with (73), (146) gives:
% 201.86/27.93 | (149) all_51_2 = all_45_0
% 201.86/27.93 |
% 201.86/27.93 | REDUCE: (85), (149) imply:
% 201.86/27.93 | (150) converse(all_25_0) = all_45_0
% 201.86/27.93 |
% 201.86/27.93 | REDUCE: (144), (149) imply:
% 201.86/27.93 | (151) join(all_45_0, all_27_2) = all_27_2
% 201.86/27.93 |
% 201.86/27.93 | REDUCE: (148), (149) imply:
% 201.86/27.93 | (152) $i(all_45_0)
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (2) with all_17_5, all_17_5, all_17_5, all_25_0,
% 201.86/27.93 | all_49_0, simplifying with (14), (27), (78) gives:
% 201.86/27.93 | (153) ? [v0: $i] : (join(v0, all_17_5) = all_49_0 & join(all_17_5,
% 201.86/27.93 | all_17_5) = v0 & $i(v0) & $i(all_49_0))
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (1) with all_25_0, all_17_5, all_49_0, simplifying
% 201.86/27.93 | with (14), (26), (78) gives:
% 201.86/27.93 | (154) join(all_25_0, all_17_5) = all_49_0 & $i(all_49_0)
% 201.86/27.93 |
% 201.86/27.93 | ALPHA: (154) implies:
% 201.86/27.93 | (155) $i(all_49_0)
% 201.86/27.93 | (156) join(all_25_0, all_17_5) = all_49_0
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (3) with all_17_2, all_17_5, all_25_0, all_17_2,
% 201.86/27.93 | all_17_2, simplifying with (14), (17), (22), (26), (147) gives:
% 201.86/27.93 | (157) ? [v0: $i] : (join(all_17_2, v0) = all_17_2 & join(all_17_5,
% 201.86/27.93 | all_25_0) = v0 & $i(v0))
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (3) with all_25_0, all_17_2, all_55_0, all_17_2,
% 201.86/27.93 | all_17_4, simplifying with (17), (26), (28), (93), (145) gives:
% 201.86/27.93 | (158) ? [v0: $i] : (join(all_25_0, v0) = all_17_4 & join(all_17_2,
% 201.86/27.93 | all_55_0) = v0 & $i(v0) & $i(all_17_4))
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (3) with all_17_5, all_17_2, all_55_0, all_17_2,
% 201.86/27.93 | all_17_4, simplifying with (14), (17), (18), (93), (145) gives:
% 201.86/27.93 | (159) ? [v0: $i] : (join(all_17_2, all_55_0) = v0 & join(all_17_5, v0) =
% 201.86/27.93 | all_17_4 & $i(v0) & $i(all_17_4))
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (1) with all_55_0, all_17_2, all_17_4, simplifying
% 201.86/27.93 | with (17), (93), (145) gives:
% 201.86/27.93 | (160) join(all_55_0, all_17_2) = all_17_4 & $i(all_17_4)
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (1) with all_65_3, all_17_2, all_65_2, simplifying
% 201.86/27.93 | with (17), (111), (114) gives:
% 201.86/27.93 | (161) join(all_65_3, all_17_2) = all_65_2 & $i(all_65_2)
% 201.86/27.93 |
% 201.86/27.93 | ALPHA: (161) implies:
% 201.86/27.93 | (162) $i(all_65_2)
% 201.86/27.93 |
% 201.86/27.93 | GROUND_INST: instantiating (3) with all_17_5, all_17_5, all_17_5, all_25_0,
% 201.86/27.93 | all_47_0, simplifying with (14), (27), (75) gives:
% 201.86/27.93 | (163) ? [v0: $i] : (join(all_17_5, v0) = all_47_0 & join(all_17_5,
% 201.86/27.94 | all_17_5) = v0 & $i(v0) & $i(all_47_0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (1) with all_17_5, all_25_0, all_47_0, simplifying
% 201.86/27.94 | with (14), (26), (75) gives:
% 201.86/27.94 | (164) join(all_17_5, all_25_0) = all_47_0 & $i(all_47_0)
% 201.86/27.94 |
% 201.86/27.94 | ALPHA: (164) implies:
% 201.86/27.94 | (165) $i(all_47_0)
% 201.86/27.94 | (166) join(all_17_5, all_25_0) = all_47_0
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (3) with all_17_5, all_17_5, all_25_0, all_25_0,
% 201.86/27.94 | all_41_0, simplifying with (14), (26), (27), (66) gives:
% 201.86/27.94 | (167) ? [v0: $i] : (join(all_17_5, v0) = all_41_0 & join(all_17_5,
% 201.86/27.94 | all_25_0) = v0 & $i(v0) & $i(all_41_0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (2) with all_25_0, all_17_5, all_17_5, all_25_0,
% 201.86/27.94 | all_41_0, simplifying with (14), (26), (27), (66) gives:
% 201.86/27.94 | (168) ? [v0: $i] : (join(v0, all_17_5) = all_41_0 & join(all_25_0,
% 201.86/27.94 | all_17_5) = v0 & $i(v0) & $i(all_41_0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (8) with all_27_1, all_27_1, all_45_0, simplifying
% 201.86/27.94 | with (30), (73) gives:
% 201.86/27.94 | (169) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_45_0) = v0 &
% 201.86/27.94 | converse(all_27_1) = v2 & converse(all_27_1) = v1 & join(v1, v2) =
% 201.86/27.94 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (4) with all_17_3, all_29_2, all_29_1, all_29_0,
% 201.86/27.94 | simplifying with (16), (37), (41), (57) gives:
% 201.86/27.94 | (170) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 201.86/27.94 | (complement(v1) = v2 & complement(all_29_0) = v3 &
% 201.86/27.94 | complement(all_29_2) = v0 & join(v2, v3) = all_17_3 &
% 201.86/27.94 | join(all_29_1, v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (5) with all_17_3, all_17_4, all_29_1, all_29_2,
% 201.86/27.94 | all_29_0, simplifying with (15), (16), (40), (41), (57) gives:
% 201.86/27.94 | (171) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (complement(v1) = v2 &
% 201.86/27.94 | complement(all_29_0) = v0 & join(v0, v2) = all_17_3 &
% 201.86/27.94 | join(all_29_1, all_17_4) = v1 & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (7) with all_17_3, all_17_4, all_29_1, all_29_2,
% 201.86/27.94 | all_29_0, simplifying with (15), (16), (40), (41), (57) gives:
% 201.86/27.94 | (172) ? [v0: $i] : (meet(all_17_3, all_17_4) = v0 & complement(all_29_0) =
% 201.86/27.94 | v0 & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (2) with all_25_0, all_41_0, all_17_2, all_17_2,
% 201.86/27.94 | all_17_2, simplifying with (17), (26), (28), (65), (67) gives:
% 201.86/27.94 | (173) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_25_0,
% 201.86/27.94 | all_41_0) = v0 & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (2) with all_41_0, all_25_0, all_17_2, all_17_2,
% 201.86/27.94 | all_17_2, simplifying with (17), (26), (28), (65), (67) gives:
% 201.86/27.94 | (174) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_41_0,
% 201.86/27.94 | all_25_0) = v0 & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (2) with all_17_5, all_41_0, all_17_2, all_17_2,
% 201.86/27.94 | all_17_2, simplifying with (14), (17), (18), (65), (67) gives:
% 201.86/27.94 | (175) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_17_5,
% 201.86/27.94 | all_41_0) = v0 & $i(v0))
% 201.86/27.94 |
% 201.86/27.94 | GROUND_INST: instantiating (2) with all_41_0, all_17_5, all_17_2, all_17_2,
% 201.86/27.94 | all_17_2, simplifying with (14), (17), (18), (65), (67) gives:
% 201.86/27.95 | (176) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_41_0,
% 201.86/27.95 | all_17_5) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_41_0, all_41_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (65), (67) gives:
% 201.86/27.95 | (177) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_41_0,
% 201.86/27.95 | all_41_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (3) with all_41_0, all_17_2, all_55_0, all_17_2,
% 201.86/27.95 | all_17_4, simplifying with (17), (65), (67), (93), (145) gives:
% 201.86/27.95 | (178) ? [v0: $i] : (join(all_41_0, v0) = all_17_4 & join(all_17_2,
% 201.86/27.95 | all_55_0) = v0 & $i(v0) & $i(all_17_4))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (8) with all_45_0, all_27_2, all_27_2, simplifying
% 201.86/27.95 | with (45), (151), (152) gives:
% 201.86/27.95 | (179) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (converse(all_45_0) = v1 &
% 201.86/27.95 | converse(all_27_2) = v2 & converse(all_27_2) = v0 & join(v1, v2) =
% 201.86/27.95 | v0 & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_25_0, all_47_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (26), (28), (76), (165) gives:
% 201.86/27.95 | (180) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_25_0,
% 201.86/27.95 | all_47_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_47_0, all_25_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (26), (28), (76), (165) gives:
% 201.86/27.95 | (181) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_47_0,
% 201.86/27.95 | all_25_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_47_0, all_17_5, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (14), (17), (18), (76), (165) gives:
% 201.86/27.95 | (182) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_47_0,
% 201.86/27.95 | all_17_5) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_47_0, all_47_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (76), (165) gives:
% 201.86/27.95 | (183) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_47_0,
% 201.86/27.95 | all_47_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_41_0, all_47_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (65), (67), (76), (165) gives:
% 201.86/27.95 | (184) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_41_0,
% 201.86/27.95 | all_47_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_47_0, all_41_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (65), (67), (76), (165) gives:
% 201.86/27.95 | (185) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_47_0,
% 201.86/27.95 | all_41_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (3) with all_47_0, all_17_2, all_55_0, all_17_2,
% 201.86/27.95 | all_17_4, simplifying with (17), (76), (93), (145), (165) gives:
% 201.86/27.95 | (186) ? [v0: $i] : (join(all_47_0, v0) = all_17_4 & join(all_17_2,
% 201.86/27.95 | all_55_0) = v0 & $i(v0) & $i(all_17_4))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_25_0, all_49_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (26), (28), (79), (155) gives:
% 201.86/27.95 | (187) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_25_0,
% 201.86/27.95 | all_49_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_49_0, all_25_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (26), (28), (79), (155) gives:
% 201.86/27.95 | (188) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_49_0,
% 201.86/27.95 | all_25_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_49_0, all_17_5, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (14), (17), (18), (79), (155) gives:
% 201.86/27.95 | (189) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_49_0,
% 201.86/27.95 | all_17_5) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_49_0, all_49_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (79), (155) gives:
% 201.86/27.95 | (190) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_49_0,
% 201.86/27.95 | all_49_0) = v0 & $i(v0))
% 201.86/27.95 |
% 201.86/27.95 | GROUND_INST: instantiating (2) with all_47_0, all_49_0, all_17_2, all_17_2,
% 201.86/27.95 | all_17_2, simplifying with (17), (76), (79), (155), (165) gives:
% 201.86/27.96 | (191) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_47_0,
% 201.86/27.96 | all_49_0) = v0 & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (2) with all_49_0, all_47_0, all_17_2, all_17_2,
% 201.86/27.96 | all_17_2, simplifying with (17), (76), (79), (155), (165) gives:
% 201.86/27.96 | (192) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_49_0,
% 201.86/27.96 | all_47_0) = v0 & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (2) with all_41_0, all_49_0, all_17_2, all_17_2,
% 201.86/27.96 | all_17_2, simplifying with (17), (65), (67), (79), (155) gives:
% 201.86/27.96 | (193) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_41_0,
% 201.86/27.96 | all_49_0) = v0 & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (2) with all_49_0, all_41_0, all_17_2, all_17_2,
% 201.86/27.96 | all_17_2, simplifying with (17), (65), (67), (79), (155) gives:
% 201.86/27.96 | (194) ? [v0: $i] : (join(v0, all_17_2) = all_17_2 & join(all_49_0,
% 201.86/27.96 | all_41_0) = v0 & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (3) with all_49_0, all_17_2, all_55_0, all_17_2,
% 201.86/27.96 | all_17_4, simplifying with (17), (79), (93), (145), (155) gives:
% 201.86/27.96 | (195) ? [v0: $i] : (join(all_49_0, v0) = all_17_4 & join(all_17_2,
% 201.86/27.96 | all_55_0) = v0 & $i(v0) & $i(all_17_4))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (1) with all_65_0, all_65_1, all_29_0, simplifying
% 201.86/27.96 | with (112), (113), (115) gives:
% 201.86/27.96 | (196) join(all_65_0, all_65_1) = all_29_0 & $i(all_29_0)
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (5) with all_65_2, all_17_2, all_65_1, all_65_0,
% 201.86/27.96 | all_29_0, simplifying with (17), (115), (116), (117), (162)
% 201.86/27.96 | gives:
% 201.86/27.96 | (197) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (complement(v1) = v2 &
% 201.86/27.96 | complement(all_29_0) = v0 & join(v0, v2) = all_65_2 &
% 201.86/27.96 | join(all_65_1, all_17_2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (7) with all_65_2, all_17_2, all_65_1, all_65_0,
% 201.86/27.96 | all_29_0, simplifying with (17), (115), (116), (117), (162)
% 201.86/27.96 | gives:
% 201.86/27.96 | (198) ? [v0: $i] : (meet(all_65_2, all_17_2) = v0 & complement(all_29_0) =
% 201.86/27.96 | v0 & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (4) with all_65_2, all_65_0, all_65_1, all_29_0,
% 201.86/27.96 | simplifying with (113), (115), (117), (162) gives:
% 201.86/27.96 | (199) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 201.86/27.96 | (complement(v1) = v2 & complement(all_65_0) = v0 &
% 201.86/27.96 | complement(all_29_0) = v3 & join(v2, v3) = all_65_2 &
% 201.86/27.96 | join(all_65_1, v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (6) with all_29_0, all_17_2, zero, simplifying with
% 201.86/27.96 | (17), (56), (61) gives:
% 201.86/27.96 | (200) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (complement(v2) = zero &
% 201.86/27.96 | complement(all_29_0) = v0 & complement(all_17_2) = v1 & join(v0,
% 201.86/27.96 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & $i(zero))
% 201.86/27.96 |
% 201.86/27.96 | GROUND_INST: instantiating (converse_idempotence) with all_25_0, all_45_0,
% 201.86/27.96 | simplifying with (26), (150) gives:
% 201.86/27.96 | (201) converse(all_45_0) = all_25_0
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (194) with fresh symbol all_81_0 gives:
% 201.86/27.96 | (202) join(all_81_0, all_17_2) = all_17_2 & join(all_49_0, all_41_0) =
% 201.86/27.96 | all_81_0 & $i(all_81_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (202) implies:
% 201.86/27.96 | (203) join(all_49_0, all_41_0) = all_81_0
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (198) with fresh symbol all_83_0 gives:
% 201.86/27.96 | (204) meet(all_65_2, all_17_2) = all_83_0 & complement(all_29_0) = all_83_0
% 201.86/27.96 | & $i(all_83_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (204) implies:
% 201.86/27.96 | (205) $i(all_83_0)
% 201.86/27.96 | (206) complement(all_29_0) = all_83_0
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (177) with fresh symbol all_85_0 gives:
% 201.86/27.96 | (207) join(all_85_0, all_17_2) = all_17_2 & join(all_41_0, all_41_0) =
% 201.86/27.96 | all_85_0 & $i(all_85_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (207) implies:
% 201.86/27.96 | (208) $i(all_85_0)
% 201.86/27.96 | (209) join(all_85_0, all_17_2) = all_17_2
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (176) with fresh symbol all_89_0 gives:
% 201.86/27.96 | (210) join(all_89_0, all_17_2) = all_17_2 & join(all_41_0, all_17_5) =
% 201.86/27.96 | all_89_0 & $i(all_89_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (210) implies:
% 201.86/27.96 | (211) join(all_41_0, all_17_5) = all_89_0
% 201.86/27.96 | (212) join(all_89_0, all_17_2) = all_17_2
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (185) with fresh symbol all_93_0 gives:
% 201.86/27.96 | (213) join(all_93_0, all_17_2) = all_17_2 & join(all_47_0, all_41_0) =
% 201.86/27.96 | all_93_0 & $i(all_93_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (213) implies:
% 201.86/27.96 | (214) join(all_47_0, all_41_0) = all_93_0
% 201.86/27.96 | (215) join(all_93_0, all_17_2) = all_17_2
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (184) with fresh symbol all_95_0 gives:
% 201.86/27.96 | (216) join(all_95_0, all_17_2) = all_17_2 & join(all_41_0, all_47_0) =
% 201.86/27.96 | all_95_0 & $i(all_95_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (216) implies:
% 201.86/27.96 | (217) join(all_41_0, all_47_0) = all_95_0
% 201.86/27.96 |
% 201.86/27.96 | DELTA: instantiating (157) with fresh symbol all_99_0 gives:
% 201.86/27.96 | (218) join(all_17_2, all_99_0) = all_17_2 & join(all_17_5, all_25_0) =
% 201.86/27.96 | all_99_0 & $i(all_99_0)
% 201.86/27.96 |
% 201.86/27.96 | ALPHA: (218) implies:
% 201.86/27.97 | (219) join(all_17_5, all_25_0) = all_99_0
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (183) with fresh symbol all_101_0 gives:
% 201.86/27.97 | (220) join(all_101_0, all_17_2) = all_17_2 & join(all_47_0, all_47_0) =
% 201.86/27.97 | all_101_0 & $i(all_101_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (220) implies:
% 201.86/27.97 | (221) join(all_47_0, all_47_0) = all_101_0
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (175) with fresh symbol all_103_0 gives:
% 201.86/27.97 | (222) join(all_103_0, all_17_2) = all_17_2 & join(all_17_5, all_41_0) =
% 201.86/27.97 | all_103_0 & $i(all_103_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (222) implies:
% 201.86/27.97 | (223) join(all_17_5, all_41_0) = all_103_0
% 201.86/27.97 | (224) join(all_103_0, all_17_2) = all_17_2
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (173) with fresh symbol all_105_0 gives:
% 201.86/27.97 | (225) join(all_105_0, all_17_2) = all_17_2 & join(all_25_0, all_41_0) =
% 201.86/27.97 | all_105_0 & $i(all_105_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (225) implies:
% 201.86/27.97 | (226) join(all_25_0, all_41_0) = all_105_0
% 201.86/27.97 | (227) join(all_105_0, all_17_2) = all_17_2
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (174) with fresh symbol all_115_0 gives:
% 201.86/27.97 | (228) join(all_115_0, all_17_2) = all_17_2 & join(all_41_0, all_25_0) =
% 201.86/27.97 | all_115_0 & $i(all_115_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (228) implies:
% 201.86/27.97 | (229) join(all_41_0, all_25_0) = all_115_0
% 201.86/27.97 | (230) join(all_115_0, all_17_2) = all_17_2
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (182) with fresh symbol all_117_0 gives:
% 201.86/27.97 | (231) join(all_117_0, all_17_2) = all_17_2 & join(all_47_0, all_17_5) =
% 201.86/27.97 | all_117_0 & $i(all_117_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (231) implies:
% 201.86/27.97 | (232) $i(all_117_0)
% 201.86/27.97 | (233) join(all_47_0, all_17_5) = all_117_0
% 201.86/27.97 | (234) join(all_117_0, all_17_2) = all_17_2
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (172) with fresh symbol all_121_0 gives:
% 201.86/27.97 | (235) meet(all_17_3, all_17_4) = all_121_0 & complement(all_29_0) =
% 201.86/27.97 | all_121_0 & $i(all_121_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (235) implies:
% 201.86/27.97 | (236) complement(all_29_0) = all_121_0
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (181) with fresh symbol all_125_0 gives:
% 201.86/27.97 | (237) join(all_125_0, all_17_2) = all_17_2 & join(all_47_0, all_25_0) =
% 201.86/27.97 | all_125_0 & $i(all_125_0)
% 201.86/27.97 |
% 201.86/27.97 | ALPHA: (237) implies:
% 201.86/27.97 | (238) join(all_47_0, all_25_0) = all_125_0
% 201.86/27.97 |
% 201.86/27.97 | DELTA: instantiating (193) with fresh symbol all_127_0 gives:
% 202.21/27.97 | (239) join(all_127_0, all_17_2) = all_17_2 & join(all_41_0, all_49_0) =
% 202.21/27.97 | all_127_0 & $i(all_127_0)
% 202.21/27.97 |
% 202.21/27.97 | ALPHA: (239) implies:
% 202.21/27.97 | (240) join(all_41_0, all_49_0) = all_127_0
% 202.21/27.97 | (241) join(all_127_0, all_17_2) = all_17_2
% 202.21/27.97 |
% 202.21/27.97 | DELTA: instantiating (192) with fresh symbol all_129_0 gives:
% 202.21/27.97 | (242) join(all_129_0, all_17_2) = all_17_2 & join(all_49_0, all_47_0) =
% 202.21/27.97 | all_129_0 & $i(all_129_0)
% 202.21/27.97 |
% 202.21/27.97 | ALPHA: (242) implies:
% 202.21/27.97 | (243) $i(all_129_0)
% 202.21/27.97 | (244) join(all_49_0, all_47_0) = all_129_0
% 202.21/27.97 | (245) join(all_129_0, all_17_2) = all_17_2
% 202.21/27.97 |
% 202.21/27.97 | DELTA: instantiating (189) with fresh symbol all_131_0 gives:
% 202.21/27.97 | (246) join(all_131_0, all_17_2) = all_17_2 & join(all_49_0, all_17_5) =
% 202.21/27.97 | all_131_0 & $i(all_131_0)
% 202.21/27.97 |
% 202.21/27.97 | ALPHA: (246) implies:
% 202.21/27.97 | (247) join(all_49_0, all_17_5) = all_131_0
% 202.21/27.97 |
% 202.21/27.97 | DELTA: instantiating (188) with fresh symbol all_133_0 gives:
% 202.21/27.97 | (248) join(all_133_0, all_17_2) = all_17_2 & join(all_49_0, all_25_0) =
% 202.21/27.97 | all_133_0 & $i(all_133_0)
% 202.21/27.97 |
% 202.21/27.97 | ALPHA: (248) implies:
% 202.21/27.97 | (249) join(all_49_0, all_25_0) = all_133_0
% 202.23/27.97 | (250) join(all_133_0, all_17_2) = all_17_2
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (187) with fresh symbol all_135_0 gives:
% 202.23/27.97 | (251) join(all_135_0, all_17_2) = all_17_2 & join(all_25_0, all_49_0) =
% 202.23/27.97 | all_135_0 & $i(all_135_0)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (251) implies:
% 202.23/27.97 | (252) join(all_25_0, all_49_0) = all_135_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (191) with fresh symbol all_139_0 gives:
% 202.23/27.97 | (253) join(all_139_0, all_17_2) = all_17_2 & join(all_47_0, all_49_0) =
% 202.23/27.97 | all_139_0 & $i(all_139_0)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (253) implies:
% 202.23/27.97 | (254) join(all_47_0, all_49_0) = all_139_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (190) with fresh symbol all_141_0 gives:
% 202.23/27.97 | (255) join(all_141_0, all_17_2) = all_17_2 & join(all_49_0, all_49_0) =
% 202.23/27.97 | all_141_0 & $i(all_141_0)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (255) implies:
% 202.23/27.97 | (256) join(all_49_0, all_49_0) = all_141_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (180) with fresh symbol all_143_0 gives:
% 202.23/27.97 | (257) join(all_143_0, all_17_2) = all_17_2 & join(all_25_0, all_47_0) =
% 202.23/27.97 | all_143_0 & $i(all_143_0)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (257) implies:
% 202.23/27.97 | (258) join(all_25_0, all_47_0) = all_143_0
% 202.23/27.97 | (259) join(all_143_0, all_17_2) = all_17_2
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (178) with fresh symbol all_149_0 gives:
% 202.23/27.97 | (260) join(all_41_0, all_149_0) = all_17_4 & join(all_17_2, all_55_0) =
% 202.23/27.97 | all_149_0 & $i(all_149_0) & $i(all_17_4)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (260) implies:
% 202.23/27.97 | (261) join(all_17_2, all_55_0) = all_149_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (186) with fresh symbol all_175_0 gives:
% 202.23/27.97 | (262) join(all_47_0, all_175_0) = all_17_4 & join(all_17_2, all_55_0) =
% 202.23/27.97 | all_175_0 & $i(all_175_0) & $i(all_17_4)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (262) implies:
% 202.23/27.97 | (263) join(all_17_2, all_55_0) = all_175_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (153) with fresh symbol all_181_0 gives:
% 202.23/27.97 | (264) join(all_181_0, all_17_5) = all_49_0 & join(all_17_5, all_17_5) =
% 202.23/27.97 | all_181_0 & $i(all_181_0) & $i(all_49_0)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (264) implies:
% 202.23/27.97 | (265) $i(all_181_0)
% 202.23/27.97 | (266) join(all_17_5, all_17_5) = all_181_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (195) with fresh symbol all_189_0 gives:
% 202.23/27.97 | (267) join(all_49_0, all_189_0) = all_17_4 & join(all_17_2, all_55_0) =
% 202.23/27.97 | all_189_0 & $i(all_189_0) & $i(all_17_4)
% 202.23/27.97 |
% 202.23/27.97 | ALPHA: (267) implies:
% 202.23/27.97 | (268) join(all_17_2, all_55_0) = all_189_0
% 202.23/27.97 |
% 202.23/27.97 | DELTA: instantiating (167) with fresh symbol all_195_0 gives:
% 202.23/27.97 | (269) join(all_17_5, all_195_0) = all_41_0 & join(all_17_5, all_25_0) =
% 202.23/27.97 | all_195_0 & $i(all_195_0) & $i(all_41_0)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (269) implies:
% 202.23/27.98 | (270) join(all_17_5, all_25_0) = all_195_0
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (163) with fresh symbol all_197_0 gives:
% 202.23/27.98 | (271) join(all_17_5, all_197_0) = all_47_0 & join(all_17_5, all_17_5) =
% 202.23/27.98 | all_197_0 & $i(all_197_0) & $i(all_47_0)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (271) implies:
% 202.23/27.98 | (272) join(all_17_5, all_17_5) = all_197_0
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (159) with fresh symbol all_207_0 gives:
% 202.23/27.98 | (273) join(all_17_2, all_55_0) = all_207_0 & join(all_17_5, all_207_0) =
% 202.23/27.98 | all_17_4 & $i(all_207_0) & $i(all_17_4)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (273) implies:
% 202.23/27.98 | (274) join(all_17_5, all_207_0) = all_17_4
% 202.23/27.98 | (275) join(all_17_2, all_55_0) = all_207_0
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (158) with fresh symbol all_209_0 gives:
% 202.23/27.98 | (276) join(all_25_0, all_209_0) = all_17_4 & join(all_17_2, all_55_0) =
% 202.23/27.98 | all_209_0 & $i(all_209_0) & $i(all_17_4)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (276) implies:
% 202.23/27.98 | (277) join(all_17_2, all_55_0) = all_209_0
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (168) with fresh symbol all_213_0 gives:
% 202.23/27.98 | (278) join(all_213_0, all_17_5) = all_41_0 & join(all_25_0, all_17_5) =
% 202.23/27.98 | all_213_0 & $i(all_213_0) & $i(all_41_0)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (278) implies:
% 202.23/27.98 | (279) join(all_25_0, all_17_5) = all_213_0
% 202.23/27.98 | (280) join(all_213_0, all_17_5) = all_41_0
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (179) with fresh symbols all_239_0, all_239_1, all_239_2
% 202.23/27.98 | gives:
% 202.23/27.98 | (281) converse(all_45_0) = all_239_1 & converse(all_27_2) = all_239_0 &
% 202.23/27.98 | converse(all_27_2) = all_239_2 & join(all_239_1, all_239_0) =
% 202.23/27.98 | all_239_2 & $i(all_239_0) & $i(all_239_1) & $i(all_239_2)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (281) implies:
% 202.23/27.98 | (282) join(all_239_1, all_239_0) = all_239_2
% 202.23/27.98 | (283) converse(all_27_2) = all_239_2
% 202.23/27.98 | (284) converse(all_27_2) = all_239_0
% 202.23/27.98 | (285) converse(all_45_0) = all_239_1
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (169) with fresh symbols all_247_0, all_247_1, all_247_2
% 202.23/27.98 | gives:
% 202.23/27.98 | (286) converse(all_45_0) = all_247_2 & converse(all_27_1) = all_247_0 &
% 202.23/27.98 | converse(all_27_1) = all_247_1 & join(all_247_1, all_247_0) =
% 202.23/27.98 | all_247_2 & $i(all_247_0) & $i(all_247_1) & $i(all_247_2)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (286) implies:
% 202.23/27.98 | (287) $i(all_247_1)
% 202.23/27.98 | (288) converse(all_27_1) = all_247_1
% 202.23/27.98 | (289) converse(all_27_1) = all_247_0
% 202.23/27.98 | (290) converse(all_45_0) = all_247_2
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (197) with fresh symbols all_261_0, all_261_1, all_261_2
% 202.23/27.98 | gives:
% 202.23/27.98 | (291) complement(all_261_1) = all_261_0 & complement(all_29_0) = all_261_2
% 202.23/27.98 | & join(all_261_2, all_261_0) = all_65_2 & join(all_65_1, all_17_2) =
% 202.23/27.98 | all_261_1 & $i(all_261_0) & $i(all_261_1) & $i(all_261_2)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (291) implies:
% 202.23/27.98 | (292) complement(all_29_0) = all_261_2
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (171) with fresh symbols all_265_0, all_265_1, all_265_2
% 202.23/27.98 | gives:
% 202.23/27.98 | (293) complement(all_265_1) = all_265_0 & complement(all_29_0) = all_265_2
% 202.23/27.98 | & join(all_265_2, all_265_0) = all_17_3 & join(all_29_1, all_17_4) =
% 202.23/27.98 | all_265_1 & $i(all_265_0) & $i(all_265_1) & $i(all_265_2)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (293) implies:
% 202.23/27.98 | (294) $i(all_265_0)
% 202.23/27.98 | (295) join(all_265_2, all_265_0) = all_17_3
% 202.23/27.98 | (296) complement(all_29_0) = all_265_2
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (200) with fresh symbols all_273_0, all_273_1, all_273_2
% 202.23/27.98 | gives:
% 202.23/27.98 | (297) complement(all_273_0) = zero & complement(all_29_0) = all_273_2 &
% 202.23/27.98 | complement(all_17_2) = all_273_1 & join(all_273_2, all_273_1) =
% 202.23/27.98 | all_273_0 & $i(all_273_0) & $i(all_273_1) & $i(all_273_2) & $i(zero)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (297) implies:
% 202.23/27.98 | (298) complement(all_29_0) = all_273_2
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (170) with fresh symbols all_285_0, all_285_1, all_285_2,
% 202.23/27.98 | all_285_3 gives:
% 202.23/27.98 | (299) complement(all_285_2) = all_285_1 & complement(all_29_0) = all_285_0
% 202.23/27.98 | & complement(all_29_2) = all_285_3 & join(all_285_1, all_285_0) =
% 202.23/27.98 | all_17_3 & join(all_29_1, all_285_3) = all_285_2 & $i(all_285_0) &
% 202.23/27.98 | $i(all_285_1) & $i(all_285_2) & $i(all_285_3)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (299) implies:
% 202.23/27.98 | (300) complement(all_29_0) = all_285_0
% 202.23/27.98 |
% 202.23/27.98 | DELTA: instantiating (199) with fresh symbols all_289_0, all_289_1, all_289_2,
% 202.23/27.98 | all_289_3 gives:
% 202.23/27.98 | (301) complement(all_289_2) = all_289_1 & complement(all_65_0) = all_289_3
% 202.23/27.98 | & complement(all_29_0) = all_289_0 & join(all_289_1, all_289_0) =
% 202.23/27.98 | all_65_2 & join(all_65_1, all_289_3) = all_289_2 & $i(all_289_0) &
% 202.23/27.98 | $i(all_289_1) & $i(all_289_2) & $i(all_289_3)
% 202.23/27.98 |
% 202.23/27.98 | ALPHA: (301) implies:
% 202.23/27.98 | (302) complement(all_29_0) = all_289_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_25_0, all_197_0, all_17_5, all_17_5,
% 202.23/27.98 | simplifying with (27), (272) gives:
% 202.23/27.98 | (303) all_197_0 = all_25_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_181_0, all_197_0, all_17_5, all_17_5,
% 202.23/27.98 | simplifying with (266), (272) gives:
% 202.23/27.98 | (304) all_197_0 = all_181_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_49_0, all_99_0, all_25_0, all_17_5,
% 202.23/27.98 | simplifying with (78), (219) gives:
% 202.23/27.98 | (305) all_99_0 = all_49_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_99_0, all_195_0, all_25_0, all_17_5,
% 202.23/27.98 | simplifying with (219), (270) gives:
% 202.23/27.98 | (306) all_195_0 = all_99_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_47_0, all_195_0, all_25_0, all_17_5,
% 202.23/27.98 | simplifying with (166), (270) gives:
% 202.23/27.98 | (307) all_195_0 = all_47_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_189_0, all_207_0, all_55_0, all_17_2,
% 202.23/27.98 | simplifying with (268), (275) gives:
% 202.23/27.98 | (308) all_207_0 = all_189_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_175_0, all_207_0, all_55_0, all_17_2,
% 202.23/27.98 | simplifying with (263), (275) gives:
% 202.23/27.98 | (309) all_207_0 = all_175_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_149_0, all_207_0, all_55_0, all_17_2,
% 202.23/27.98 | simplifying with (261), (275) gives:
% 202.23/27.98 | (310) all_207_0 = all_149_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_17_4, all_209_0, all_55_0, all_17_2,
% 202.23/27.98 | simplifying with (145), (277) gives:
% 202.23/27.98 | (311) all_209_0 = all_17_4
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_175_0, all_209_0, all_55_0, all_17_2,
% 202.23/27.98 | simplifying with (263), (277) gives:
% 202.23/27.98 | (312) all_209_0 = all_175_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (12) with all_49_0, all_213_0, all_17_5, all_25_0,
% 202.23/27.98 | simplifying with (156), (279) gives:
% 202.23/27.98 | (313) all_213_0 = all_49_0
% 202.23/27.98 |
% 202.23/27.98 | GROUND_INST: instantiating (10) with all_17_2, all_121_0, all_29_0,
% 202.23/27.98 | simplifying with (42), (236) gives:
% 202.23/27.99 | (314) all_121_0 = all_17_2
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (10) with all_121_0, all_261_2, all_29_0,
% 202.23/27.99 | simplifying with (236), (292) gives:
% 202.23/27.99 | (315) all_261_2 = all_121_0
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (10) with all_261_2, all_265_2, all_29_0,
% 202.23/27.99 | simplifying with (292), (296) gives:
% 202.23/27.99 | (316) all_265_2 = all_261_2
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (10) with all_265_2, all_273_2, all_29_0,
% 202.23/27.99 | simplifying with (296), (298) gives:
% 202.23/27.99 | (317) all_273_2 = all_265_2
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (10) with all_273_2, all_285_0, all_29_0,
% 202.23/27.99 | simplifying with (298), (300) gives:
% 202.23/27.99 | (318) all_285_0 = all_273_2
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (10) with all_285_0, all_289_0, all_29_0,
% 202.23/27.99 | simplifying with (300), (302) gives:
% 202.23/27.99 | (319) all_289_0 = all_285_0
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (10) with all_83_0, all_289_0, all_29_0,
% 202.23/27.99 | simplifying with (206), (302) gives:
% 202.23/27.99 | (320) all_289_0 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (11) with all_17_2, all_239_0, all_27_2,
% 202.23/27.99 | simplifying with (63), (284) gives:
% 202.23/27.99 | (321) all_239_0 = all_17_2
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (11) with all_239_2, all_239_0, all_27_2,
% 202.23/27.99 | simplifying with (283), (284) gives:
% 202.23/27.99 | (322) all_239_0 = all_239_2
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (11) with all_17_5, all_247_0, all_27_1,
% 202.23/27.99 | simplifying with (62), (289) gives:
% 202.23/27.99 | (323) all_247_0 = all_17_5
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (11) with all_247_1, all_247_0, all_27_1,
% 202.23/27.99 | simplifying with (288), (289) gives:
% 202.23/27.99 | (324) all_247_0 = all_247_1
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (11) with all_239_1, all_247_2, all_45_0,
% 202.23/27.99 | simplifying with (285), (290) gives:
% 202.23/27.99 | (325) all_247_2 = all_239_1
% 202.23/27.99 |
% 202.23/27.99 | GROUND_INST: instantiating (11) with all_25_0, all_247_2, all_45_0,
% 202.23/27.99 | simplifying with (201), (290) gives:
% 202.23/27.99 | (326) all_247_2 = all_25_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (319), (320) imply:
% 202.23/27.99 | (327) all_285_0 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (327) implies:
% 202.23/27.99 | (328) all_285_0 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (318), (328) imply:
% 202.23/27.99 | (329) all_273_2 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (329) implies:
% 202.23/27.99 | (330) all_273_2 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (317), (330) imply:
% 202.23/27.99 | (331) all_265_2 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (331) implies:
% 202.23/27.99 | (332) all_265_2 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (316), (332) imply:
% 202.23/27.99 | (333) all_261_2 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (333) implies:
% 202.23/27.99 | (334) all_261_2 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (315), (334) imply:
% 202.23/27.99 | (335) all_121_0 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (335) implies:
% 202.23/27.99 | (336) all_121_0 = all_83_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (323), (324) imply:
% 202.23/27.99 | (337) all_247_1 = all_17_5
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (337) implies:
% 202.23/27.99 | (338) all_247_1 = all_17_5
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (325), (326) imply:
% 202.23/27.99 | (339) all_239_1 = all_25_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (339) implies:
% 202.23/27.99 | (340) all_239_1 = all_25_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (321), (322) imply:
% 202.23/27.99 | (341) all_239_2 = all_17_2
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (311), (312) imply:
% 202.23/27.99 | (342) all_175_0 = all_17_4
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (342) implies:
% 202.23/27.99 | (343) all_175_0 = all_17_4
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (308), (309) imply:
% 202.23/27.99 | (344) all_189_0 = all_175_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (308), (310) imply:
% 202.23/27.99 | (345) all_189_0 = all_149_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (303), (304) imply:
% 202.23/27.99 | (346) all_181_0 = all_25_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (306), (307) imply:
% 202.23/27.99 | (347) all_99_0 = all_47_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (347) implies:
% 202.23/27.99 | (348) all_99_0 = all_47_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (344), (345) imply:
% 202.23/27.99 | (349) all_175_0 = all_149_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (349) implies:
% 202.23/27.99 | (350) all_175_0 = all_149_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (343), (350) imply:
% 202.23/27.99 | (351) all_149_0 = all_17_4
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (314), (336) imply:
% 202.23/27.99 | (352) all_83_0 = all_17_2
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (305), (348) imply:
% 202.23/27.99 | (353) all_49_0 = all_47_0
% 202.23/27.99 |
% 202.23/27.99 | SIMP: (353) implies:
% 202.23/27.99 | (354) all_49_0 = all_47_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (345), (351) imply:
% 202.23/27.99 | (355) all_189_0 = all_17_4
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (308), (355) imply:
% 202.23/27.99 | (356) all_207_0 = all_17_4
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (313), (354) imply:
% 202.23/27.99 | (357) all_213_0 = all_47_0
% 202.23/27.99 |
% 202.23/27.99 | COMBINE_EQS: (332), (352) imply:
% 202.23/27.99 | (358) all_265_2 = all_17_2
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (295), (358) imply:
% 202.23/27.99 | (359) join(all_17_2, all_265_0) = all_17_3
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (280), (357) imply:
% 202.23/27.99 | (360) join(all_47_0, all_17_5) = all_41_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (256), (354) imply:
% 202.23/27.99 | (361) join(all_47_0, all_47_0) = all_141_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (244), (354) imply:
% 202.23/27.99 | (362) join(all_47_0, all_47_0) = all_129_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (203), (354) imply:
% 202.23/27.99 | (363) join(all_47_0, all_41_0) = all_81_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (249), (354) imply:
% 202.23/27.99 | (364) join(all_47_0, all_25_0) = all_133_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (247), (354) imply:
% 202.23/27.99 | (365) join(all_47_0, all_17_5) = all_131_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (254), (354) imply:
% 202.23/27.99 | (366) join(all_47_0, all_47_0) = all_139_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (240), (354) imply:
% 202.23/27.99 | (367) join(all_41_0, all_47_0) = all_127_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (252), (354) imply:
% 202.23/27.99 | (368) join(all_25_0, all_47_0) = all_135_0
% 202.23/27.99 |
% 202.23/27.99 | REDUCE: (274), (356) imply:
% 202.23/27.99 | (369) join(all_17_5, all_17_4) = all_17_4
% 202.23/27.99 |
% 202.23/27.99 | BETA: splitting (20) gives:
% 202.23/27.99 |
% 202.23/27.99 | Case 1:
% 202.23/27.99 | |
% 202.23/27.99 | | (370) ~ (all_17_0 = all_17_3) & join(all_17_5, all_17_3) = all_17_0 &
% 202.23/27.99 | | $i(all_17_0)
% 202.23/27.99 | |
% 202.23/27.99 | | ALPHA: (370) implies:
% 202.23/27.99 | | (371) ~ (all_17_0 = all_17_3)
% 202.23/27.99 | | (372) join(all_17_5, all_17_3) = all_17_0
% 202.23/27.99 | |
% 202.23/27.99 | | GROUND_INST: instantiating (12) with all_143_0, all_135_0, all_47_0,
% 202.23/27.99 | | all_25_0, simplifying with (258), (368) gives:
% 202.23/27.99 | | (373) all_143_0 = all_135_0
% 202.23/27.99 | |
% 202.23/27.99 | | GROUND_INST: instantiating (12) with all_95_0, all_127_0, all_47_0,
% 202.23/27.99 | | all_41_0, simplifying with (217), (367) gives:
% 202.23/27.99 | | (374) all_127_0 = all_95_0
% 202.23/27.99 | |
% 202.23/27.99 | | GROUND_INST: instantiating (12) with all_117_0, all_131_0, all_17_5,
% 202.23/27.99 | | all_47_0, simplifying with (233), (365) gives:
% 202.23/27.99 | | (375) all_131_0 = all_117_0
% 202.23/27.99 | |
% 202.23/27.99 | | GROUND_INST: instantiating (12) with all_41_0, all_131_0, all_17_5,
% 202.23/27.99 | | all_47_0, simplifying with (360), (365) gives:
% 202.23/27.99 | | (376) all_131_0 = all_41_0
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (12) with all_125_0, all_133_0, all_25_0,
% 202.23/28.00 | | all_47_0, simplifying with (238), (364) gives:
% 202.23/28.00 | | (377) all_133_0 = all_125_0
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (12) with all_93_0, all_81_0, all_41_0, all_47_0,
% 202.23/28.00 | | simplifying with (214), (363) gives:
% 202.23/28.00 | | (378) all_93_0 = all_81_0
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (12) with all_129_0, all_139_0, all_47_0,
% 202.23/28.00 | | all_47_0, simplifying with (362), (366) gives:
% 202.23/28.00 | | (379) all_139_0 = all_129_0
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (12) with all_101_0, all_141_0, all_47_0,
% 202.23/28.00 | | all_47_0, simplifying with (221), (361) gives:
% 202.23/28.00 | | (380) all_141_0 = all_101_0
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (12) with all_139_0, all_141_0, all_47_0,
% 202.23/28.00 | | all_47_0, simplifying with (361), (366) gives:
% 202.23/28.00 | | (381) all_141_0 = all_139_0
% 202.23/28.00 | |
% 202.23/28.00 | | COMBINE_EQS: (380), (381) imply:
% 202.23/28.00 | | (382) all_139_0 = all_101_0
% 202.23/28.00 | |
% 202.23/28.00 | | SIMP: (382) implies:
% 202.23/28.00 | | (383) all_139_0 = all_101_0
% 202.23/28.00 | |
% 202.23/28.00 | | COMBINE_EQS: (379), (383) imply:
% 202.23/28.00 | | (384) all_129_0 = all_101_0
% 202.23/28.00 | |
% 202.23/28.00 | | COMBINE_EQS: (375), (376) imply:
% 202.23/28.00 | | (385) all_117_0 = all_41_0
% 202.23/28.00 | |
% 202.23/28.00 | | SIMP: (385) implies:
% 202.23/28.00 | | (386) all_117_0 = all_41_0
% 202.23/28.00 | |
% 202.23/28.00 | | REDUCE: (259), (373) imply:
% 202.23/28.00 | | (387) join(all_135_0, all_17_2) = all_17_2
% 202.23/28.00 | |
% 202.23/28.00 | | REDUCE: (250), (377) imply:
% 202.23/28.00 | | (388) join(all_125_0, all_17_2) = all_17_2
% 202.23/28.00 | |
% 202.23/28.00 | | REDUCE: (245), (384) imply:
% 202.23/28.00 | | (389) join(all_101_0, all_17_2) = all_17_2
% 202.23/28.00 | |
% 202.23/28.00 | | REDUCE: (241), (374) imply:
% 202.23/28.00 | | (390) join(all_95_0, all_17_2) = all_17_2
% 202.23/28.00 | |
% 202.23/28.00 | | REDUCE: (215), (378) imply:
% 202.23/28.00 | | (391) join(all_81_0, all_17_2) = all_17_2
% 202.23/28.00 | |
% 202.23/28.00 | | REDUCE: (243), (384) imply:
% 202.23/28.00 | | (392) $i(all_101_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_41_0, all_17_5, all_103_0,
% 202.23/28.00 | | simplifying with (14), (65), (223) gives:
% 202.23/28.00 | | (393) join(all_41_0, all_17_5) = all_103_0 & $i(all_103_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (393) implies:
% 202.23/28.00 | | (394) $i(all_103_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_47_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (76), (165), (294), (359)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (395) ? [v0: $i] : (join(all_47_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_41_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (65), (67), (294), (359)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (396) ? [v0: $i] : (join(all_41_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_25_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (26), (28), (294), (359)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (397) ? [v0: $i] : (join(all_25_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_17_5, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (14), (17), (18), (294), (359)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (398) ? [v0: $i] : (join(all_17_2, all_265_0) = v0 & join(all_17_5, v0)
% 202.23/28.00 | | = all_17_3 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (2) with all_17_5, all_17_2, all_265_0, all_17_3,
% 202.23/28.00 | | all_17_0, simplifying with (14), (17), (294), (359), (372)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (399) ? [v0: $i] : (join(v0, all_265_0) = all_17_0 & join(all_17_5,
% 202.23/28.00 | | all_17_2) = v0 & $i(v0) & $i(all_17_0))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_41_0, all_25_0, all_105_0,
% 202.23/28.00 | | simplifying with (26), (65), (226) gives:
% 202.23/28.00 | | (400) join(all_41_0, all_25_0) = all_105_0 & $i(all_105_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (400) implies:
% 202.23/28.00 | | (401) $i(all_105_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_47_0, all_25_0, all_135_0,
% 202.23/28.00 | | simplifying with (26), (165), (368) gives:
% 202.23/28.00 | | (402) join(all_47_0, all_25_0) = all_135_0 & $i(all_135_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (402) implies:
% 202.23/28.00 | | (403) $i(all_135_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_17_5, all_41_0, all_89_0,
% 202.23/28.00 | | simplifying with (14), (65), (211) gives:
% 202.23/28.00 | | (404) join(all_17_5, all_41_0) = all_89_0 & $i(all_89_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (404) implies:
% 202.23/28.00 | | (405) $i(all_89_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_25_0, all_41_0, all_115_0,
% 202.23/28.00 | | simplifying with (26), (65), (229) gives:
% 202.23/28.00 | | (406) join(all_25_0, all_41_0) = all_115_0 & $i(all_115_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (406) implies:
% 202.23/28.00 | | (407) $i(all_115_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_47_0, all_41_0, all_95_0,
% 202.23/28.00 | | simplifying with (65), (165), (217) gives:
% 202.23/28.00 | | (408) join(all_47_0, all_41_0) = all_95_0 & $i(all_95_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (408) implies:
% 202.23/28.00 | | (409) $i(all_95_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_25_0, all_47_0, all_125_0,
% 202.23/28.00 | | simplifying with (26), (165), (238) gives:
% 202.23/28.00 | | (410) join(all_25_0, all_47_0) = all_125_0 & $i(all_125_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (410) implies:
% 202.23/28.00 | | (411) $i(all_125_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (1) with all_41_0, all_47_0, all_81_0,
% 202.23/28.00 | | simplifying with (65), (165), (363) gives:
% 202.23/28.00 | | (412) join(all_41_0, all_47_0) = all_81_0 & $i(all_81_0)
% 202.23/28.00 | |
% 202.23/28.00 | | ALPHA: (412) implies:
% 202.23/28.00 | | (413) $i(all_81_0)
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_81_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (294), (359), (391), (413)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (414) ? [v0: $i] : (join(all_81_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_85_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (208), (209), (294), (359)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (415) ? [v0: $i] : (join(all_85_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_89_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (212), (294), (359), (405)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (416) ? [v0: $i] : (join(all_89_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_95_0, all_17_2, all_265_0, all_17_2,
% 202.23/28.00 | | all_17_3, simplifying with (17), (294), (359), (390), (409)
% 202.23/28.00 | | gives:
% 202.23/28.00 | | (417) ? [v0: $i] : (join(all_95_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_101_0, all_17_2, all_265_0,
% 202.23/28.00 | | all_17_2, all_17_3, simplifying with (17), (294), (359), (389),
% 202.23/28.00 | | (392) gives:
% 202.23/28.00 | | (418) ? [v0: $i] : (join(all_101_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.00 | | GROUND_INST: instantiating (3) with all_103_0, all_17_2, all_265_0,
% 202.23/28.00 | | all_17_2, all_17_3, simplifying with (17), (224), (294), (359),
% 202.23/28.00 | | (394) gives:
% 202.23/28.00 | | (419) ? [v0: $i] : (join(all_103_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.00 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.00 | |
% 202.23/28.01 | | GROUND_INST: instantiating (3) with all_105_0, all_17_2, all_265_0,
% 202.23/28.01 | | all_17_2, all_17_3, simplifying with (17), (227), (294), (359),
% 202.23/28.01 | | (401) gives:
% 202.23/28.01 | | (420) ? [v0: $i] : (join(all_105_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.01 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.01 | |
% 202.23/28.01 | | GROUND_INST: instantiating (3) with all_115_0, all_17_2, all_265_0,
% 202.23/28.01 | | all_17_2, all_17_3, simplifying with (17), (230), (294), (359),
% 202.23/28.01 | | (407) gives:
% 202.23/28.01 | | (421) ? [v0: $i] : (join(all_115_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.01 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.01 | |
% 202.23/28.01 | | GROUND_INST: instantiating (3) with all_125_0, all_17_2, all_265_0,
% 202.23/28.01 | | all_17_2, all_17_3, simplifying with (17), (294), (359), (388),
% 202.23/28.01 | | (411) gives:
% 202.23/28.01 | | (422) ? [v0: $i] : (join(all_125_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.01 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.01 | |
% 202.23/28.01 | | GROUND_INST: instantiating (3) with all_135_0, all_17_2, all_265_0,
% 202.23/28.01 | | all_17_2, all_17_3, simplifying with (17), (294), (359), (387),
% 202.23/28.01 | | (403) gives:
% 202.23/28.01 | | (423) ? [v0: $i] : (join(all_135_0, v0) = all_17_3 & join(all_17_2,
% 202.23/28.01 | | all_265_0) = v0 & $i(v0) & $i(all_17_3))
% 202.23/28.01 | |
% 202.23/28.01 | | DELTA: instantiating (421) with fresh symbol all_845_0 gives:
% 202.23/28.01 | | (424) join(all_115_0, all_845_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.23/28.01 | | all_845_0 & $i(all_845_0) & $i(all_17_3)
% 202.23/28.01 | |
% 202.23/28.01 | | ALPHA: (424) implies:
% 202.23/28.01 | | (425) join(all_17_2, all_265_0) = all_845_0
% 202.23/28.01 | |
% 202.23/28.01 | | DELTA: instantiating (417) with fresh symbol all_883_0 gives:
% 202.23/28.01 | | (426) join(all_95_0, all_883_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.23/28.01 | | all_883_0 & $i(all_883_0) & $i(all_17_3)
% 202.23/28.01 | |
% 202.23/28.01 | | ALPHA: (426) implies:
% 202.23/28.01 | | (427) join(all_17_2, all_265_0) = all_883_0
% 202.23/28.01 | |
% 202.23/28.01 | | DELTA: instantiating (418) with fresh symbol all_1171_0 gives:
% 202.23/28.01 | | (428) join(all_101_0, all_1171_0) = all_17_3 & join(all_17_2, all_265_0)
% 202.23/28.01 | | = all_1171_0 & $i(all_1171_0) & $i(all_17_3)
% 202.23/28.01 | |
% 202.23/28.01 | | ALPHA: (428) implies:
% 202.23/28.01 | | (429) join(all_17_2, all_265_0) = all_1171_0
% 202.23/28.01 | |
% 202.23/28.01 | | DELTA: instantiating (414) with fresh symbol all_1429_0 gives:
% 202.23/28.01 | | (430) join(all_81_0, all_1429_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.23/28.01 | | all_1429_0 & $i(all_1429_0) & $i(all_17_3)
% 202.23/28.01 | |
% 202.23/28.01 | | ALPHA: (430) implies:
% 202.23/28.01 | | (431) join(all_17_2, all_265_0) = all_1429_0
% 202.23/28.01 | |
% 202.23/28.01 | | DELTA: instantiating (422) with fresh symbol all_1605_0 gives:
% 202.23/28.01 | | (432) join(all_125_0, all_1605_0) = all_17_3 & join(all_17_2, all_265_0)
% 202.23/28.01 | | = all_1605_0 & $i(all_1605_0) & $i(all_17_3)
% 202.23/28.01 | |
% 202.23/28.01 | | ALPHA: (432) implies:
% 202.41/28.01 | | (433) join(all_17_2, all_265_0) = all_1605_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (420) with fresh symbol all_1659_0 gives:
% 202.41/28.01 | | (434) join(all_105_0, all_1659_0) = all_17_3 & join(all_17_2, all_265_0)
% 202.41/28.01 | | = all_1659_0 & $i(all_1659_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (434) implies:
% 202.41/28.01 | | (435) join(all_17_2, all_265_0) = all_1659_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (419) with fresh symbol all_1663_0 gives:
% 202.41/28.01 | | (436) join(all_103_0, all_1663_0) = all_17_3 & join(all_17_2, all_265_0)
% 202.41/28.01 | | = all_1663_0 & $i(all_1663_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (436) implies:
% 202.41/28.01 | | (437) join(all_17_2, all_265_0) = all_1663_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (415) with fresh symbol all_1687_0 gives:
% 202.41/28.01 | | (438) join(all_85_0, all_1687_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.41/28.01 | | all_1687_0 & $i(all_1687_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (438) implies:
% 202.41/28.01 | | (439) join(all_17_2, all_265_0) = all_1687_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (423) with fresh symbol all_1737_0 gives:
% 202.41/28.01 | | (440) join(all_135_0, all_1737_0) = all_17_3 & join(all_17_2, all_265_0)
% 202.41/28.01 | | = all_1737_0 & $i(all_1737_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (440) implies:
% 202.41/28.01 | | (441) join(all_17_2, all_265_0) = all_1737_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (416) with fresh symbol all_1821_0 gives:
% 202.41/28.01 | | (442) join(all_89_0, all_1821_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.41/28.01 | | all_1821_0 & $i(all_1821_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (442) implies:
% 202.41/28.01 | | (443) join(all_17_2, all_265_0) = all_1821_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (399) with fresh symbol all_2111_0 gives:
% 202.41/28.01 | | (444) join(all_2111_0, all_265_0) = all_17_0 & join(all_17_5, all_17_2) =
% 202.41/28.01 | | all_2111_0 & $i(all_2111_0) & $i(all_17_0)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (444) implies:
% 202.41/28.01 | | (445) join(all_17_5, all_17_2) = all_2111_0
% 202.41/28.01 | | (446) join(all_2111_0, all_265_0) = all_17_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (398) with fresh symbol all_2153_0 gives:
% 202.41/28.01 | | (447) join(all_17_2, all_265_0) = all_2153_0 & join(all_17_5, all_2153_0)
% 202.41/28.01 | | = all_17_3 & $i(all_2153_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (447) implies:
% 202.41/28.01 | | (448) join(all_17_2, all_265_0) = all_2153_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (396) with fresh symbol all_2257_0 gives:
% 202.41/28.01 | | (449) join(all_41_0, all_2257_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.41/28.01 | | all_2257_0 & $i(all_2257_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (449) implies:
% 202.41/28.01 | | (450) join(all_17_2, all_265_0) = all_2257_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (395) with fresh symbol all_2265_0 gives:
% 202.41/28.01 | | (451) join(all_47_0, all_2265_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.41/28.01 | | all_2265_0 & $i(all_2265_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (451) implies:
% 202.41/28.01 | | (452) join(all_17_2, all_265_0) = all_2265_0
% 202.41/28.01 | |
% 202.41/28.01 | | DELTA: instantiating (397) with fresh symbol all_2271_0 gives:
% 202.41/28.01 | | (453) join(all_25_0, all_2271_0) = all_17_3 & join(all_17_2, all_265_0) =
% 202.41/28.01 | | all_2271_0 & $i(all_2271_0) & $i(all_17_3)
% 202.41/28.01 | |
% 202.41/28.01 | | ALPHA: (453) implies:
% 202.41/28.01 | | (454) join(all_17_2, all_265_0) = all_2271_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_17_2, all_2111_0, all_17_2,
% 202.41/28.01 | | all_17_5, simplifying with (18), (445) gives:
% 202.41/28.01 | | (455) all_2111_0 = all_17_2
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1663_0, all_1687_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (437), (439) gives:
% 202.41/28.01 | | (456) all_1687_0 = all_1663_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_845_0, all_1687_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (425), (439) gives:
% 202.41/28.01 | | (457) all_1687_0 = all_845_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1663_0, all_1821_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (437), (443) gives:
% 202.41/28.01 | | (458) all_1821_0 = all_1663_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1605_0, all_1821_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (433), (443) gives:
% 202.41/28.01 | | (459) all_1821_0 = all_1605_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1171_0, all_1821_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (429), (443) gives:
% 202.41/28.01 | | (460) all_1821_0 = all_1171_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_883_0, all_1821_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (427), (443) gives:
% 202.41/28.01 | | (461) all_1821_0 = all_883_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1821_0, all_2153_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (443), (448) gives:
% 202.41/28.01 | | (462) all_2153_0 = all_1821_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1659_0, all_2153_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (435), (448) gives:
% 202.41/28.01 | | (463) all_2153_0 = all_1659_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1821_0, all_2265_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (443), (452) gives:
% 202.41/28.01 | | (464) all_2265_0 = all_1821_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1429_0, all_2265_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (431), (452) gives:
% 202.41/28.01 | | (465) all_2265_0 = all_1429_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_17_3, all_2271_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (359), (454) gives:
% 202.41/28.01 | | (466) all_2271_0 = all_17_3
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_2257_0, all_2271_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (450), (454) gives:
% 202.41/28.01 | | (467) all_2271_0 = all_2257_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1737_0, all_2271_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (441), (454) gives:
% 202.41/28.01 | | (468) all_2271_0 = all_1737_0
% 202.41/28.01 | |
% 202.41/28.01 | | GROUND_INST: instantiating (12) with all_1605_0, all_2271_0, all_265_0,
% 202.41/28.01 | | all_17_2, simplifying with (433), (454) gives:
% 202.41/28.02 | | (469) all_2271_0 = all_1605_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (467), (468) imply:
% 202.41/28.02 | | (470) all_2257_0 = all_1737_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (466), (467) imply:
% 202.41/28.02 | | (471) all_2257_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (467), (469) imply:
% 202.41/28.02 | | (472) all_2257_0 = all_1605_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (464), (465) imply:
% 202.41/28.02 | | (473) all_1821_0 = all_1429_0
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (473) implies:
% 202.41/28.02 | | (474) all_1821_0 = all_1429_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (470), (472) imply:
% 202.41/28.02 | | (475) all_1737_0 = all_1605_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (470), (471) imply:
% 202.41/28.02 | | (476) all_1737_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (462), (463) imply:
% 202.41/28.02 | | (477) all_1821_0 = all_1659_0
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (477) implies:
% 202.41/28.02 | | (478) all_1821_0 = all_1659_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (459), (478) imply:
% 202.41/28.02 | | (479) all_1659_0 = all_1605_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (460), (478) imply:
% 202.41/28.02 | | (480) all_1659_0 = all_1171_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (474), (478) imply:
% 202.41/28.02 | | (481) all_1659_0 = all_1429_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (458), (478) imply:
% 202.41/28.02 | | (482) all_1663_0 = all_1659_0
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (482) implies:
% 202.41/28.02 | | (483) all_1663_0 = all_1659_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (461), (478) imply:
% 202.41/28.02 | | (484) all_1659_0 = all_883_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (475), (476) imply:
% 202.41/28.02 | | (485) all_1605_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (485) implies:
% 202.41/28.02 | | (486) all_1605_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (456), (457) imply:
% 202.41/28.02 | | (487) all_1663_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (487) implies:
% 202.41/28.02 | | (488) all_1663_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (483), (488) imply:
% 202.41/28.02 | | (489) all_1659_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (489) implies:
% 202.41/28.02 | | (490) all_1659_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (481), (490) imply:
% 202.41/28.02 | | (491) all_1429_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (479), (481) imply:
% 202.41/28.02 | | (492) all_1605_0 = all_1429_0
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (492) implies:
% 202.41/28.02 | | (493) all_1605_0 = all_1429_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (481), (484) imply:
% 202.41/28.02 | | (494) all_1429_0 = all_883_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (480), (481) imply:
% 202.41/28.02 | | (495) all_1429_0 = all_1171_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (486), (493) imply:
% 202.41/28.02 | | (496) all_1429_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (496) implies:
% 202.41/28.02 | | (497) all_1429_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (491), (495) imply:
% 202.41/28.02 | | (498) all_1171_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (494), (495) imply:
% 202.41/28.02 | | (499) all_1171_0 = all_883_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (495), (497) imply:
% 202.41/28.02 | | (500) all_1171_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (499), (500) imply:
% 202.41/28.02 | | (501) all_883_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (498), (499) imply:
% 202.41/28.02 | | (502) all_883_0 = all_845_0
% 202.41/28.02 | |
% 202.41/28.02 | | COMBINE_EQS: (501), (502) imply:
% 202.41/28.02 | | (503) all_845_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | SIMP: (503) implies:
% 202.41/28.02 | | (504) all_845_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | REDUCE: (446), (455) imply:
% 202.41/28.02 | | (505) join(all_17_2, all_265_0) = all_17_0
% 202.41/28.02 | |
% 202.41/28.02 | | GROUND_INST: instantiating (12) with all_17_3, all_17_0, all_265_0,
% 202.41/28.02 | | all_17_2, simplifying with (359), (505) gives:
% 202.41/28.02 | | (506) all_17_0 = all_17_3
% 202.41/28.02 | |
% 202.41/28.02 | | REDUCE: (371), (506) imply:
% 202.41/28.02 | | (507) $false
% 202.41/28.02 | |
% 202.41/28.02 | | CLOSE: (507) is inconsistent.
% 202.41/28.02 | |
% 202.41/28.02 | Case 2:
% 202.41/28.02 | |
% 202.41/28.02 | | (508) ~ (all_17_1 = all_17_4) & join(all_17_5, all_17_4) = all_17_1 &
% 202.41/28.02 | | $i(all_17_1)
% 202.41/28.02 | |
% 202.41/28.02 | | ALPHA: (508) implies:
% 202.41/28.02 | | (509) ~ (all_17_1 = all_17_4)
% 202.41/28.02 | | (510) join(all_17_5, all_17_4) = all_17_1
% 202.41/28.02 | |
% 202.41/28.02 | | GROUND_INST: instantiating (12) with all_17_4, all_17_1, all_17_4, all_17_5,
% 202.41/28.02 | | simplifying with (369), (510) gives:
% 202.41/28.02 | | (511) all_17_1 = all_17_4
% 202.41/28.02 | |
% 202.41/28.02 | | REDUCE: (509), (511) imply:
% 202.41/28.02 | | (512) $false
% 202.41/28.02 | |
% 202.41/28.02 | | CLOSE: (512) is inconsistent.
% 202.41/28.02 | |
% 202.41/28.02 | End of split
% 202.41/28.02 |
% 202.41/28.02 End of proof
% 202.41/28.03 % SZS output end Proof for theBenchmark
% 202.41/28.03
% 202.41/28.03 27423ms
%------------------------------------------------------------------------------