TSTP Solution File: KLE160+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KLE160+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:34:45 EDT 2023
% Result : Theorem 22.16s 3.69s
% Output : Proof 75.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE160+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 11:15:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.45/1.04 Prover 4: Preprocessing ...
% 2.45/1.04 Prover 1: Preprocessing ...
% 2.45/1.08 Prover 3: Preprocessing ...
% 2.45/1.08 Prover 0: Preprocessing ...
% 2.45/1.08 Prover 6: Preprocessing ...
% 2.45/1.08 Prover 5: Preprocessing ...
% 2.45/1.08 Prover 2: Preprocessing ...
% 4.36/1.37 Prover 6: Constructing countermodel ...
% 4.36/1.38 Prover 1: Constructing countermodel ...
% 4.36/1.38 Prover 3: Constructing countermodel ...
% 4.99/1.46 Prover 5: Proving ...
% 4.99/1.46 Prover 0: Proving ...
% 4.99/1.46 Prover 4: Constructing countermodel ...
% 5.96/1.53 Prover 2: Proving ...
% 8.62/1.89 Prover 3: gave up
% 8.73/1.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.73/1.95 Prover 7: Preprocessing ...
% 9.12/2.05 Prover 7: Constructing countermodel ...
% 9.93/2.10 Prover 1: gave up
% 9.93/2.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.93/2.15 Prover 8: Preprocessing ...
% 10.82/2.20 Prover 8: Warning: ignoring some quantifiers
% 11.20/2.24 Prover 8: Constructing countermodel ...
% 13.57/2.58 Prover 8: gave up
% 13.57/2.58 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 14.16/2.62 Prover 9: Preprocessing ...
% 14.16/2.64 Prover 6: gave up
% 14.16/2.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.71/2.69 Prover 10: Preprocessing ...
% 14.71/2.72 Prover 9: Constructing countermodel ...
% 15.16/2.79 Prover 10: Constructing countermodel ...
% 15.62/2.82 Prover 10: gave up
% 15.62/2.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.62/2.85 Prover 11: Preprocessing ...
% 16.00/2.94 Prover 11: Constructing countermodel ...
% 22.16/3.69 Prover 0: proved (3066ms)
% 22.16/3.69
% 22.16/3.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.16/3.69
% 22.16/3.69 Prover 2: stopped
% 22.16/3.69 Prover 5: stopped
% 22.16/3.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 22.16/3.70 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 22.44/3.74 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 22.76/3.74 Prover 13: Preprocessing ...
% 22.76/3.75 Prover 19: Preprocessing ...
% 22.76/3.76 Prover 16: Preprocessing ...
% 22.76/3.77 Prover 9: stopped
% 22.76/3.79 Prover 13: Warning: ignoring some quantifiers
% 22.76/3.80 Prover 19: Warning: ignoring some quantifiers
% 22.76/3.80 Prover 13: Constructing countermodel ...
% 22.76/3.80 Prover 19: Constructing countermodel ...
% 22.76/3.81 Prover 16: Warning: ignoring some quantifiers
% 22.76/3.81 Prover 16: Constructing countermodel ...
% 22.76/3.82 Prover 13: gave up
% 23.92/3.95 Prover 19: gave up
% 72.82/10.92 Prover 11: Found proof (size 851)
% 72.82/10.92 Prover 11: proved (8085ms)
% 72.82/10.92 Prover 16: stopped
% 72.82/10.92 Prover 4: stopped
% 72.82/10.92 Prover 7: stopped
% 72.82/10.92
% 72.82/10.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.82/10.92
% 73.34/11.18 % SZS output start Proof for theBenchmark
% 73.34/11.18 Assumptions after simplification:
% 73.34/11.18 ---------------------------------
% 73.34/11.18
% 73.34/11.18 (additive_associativity)
% 73.49/11.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.49/11.21 (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1)
% 73.49/11.21 | ~ $i(v0) | ? [v5: $i] : (addition(v2, v5) = v4 & addition(v1, v0) = v5 &
% 73.49/11.21 $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 73.49/11.21 : ! [v4: $i] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ~
% 73.49/11.21 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (addition(v5, v0) = v4 &
% 73.49/11.21 addition(v2, v1) = v5 & $i(v5) & $i(v4)))
% 73.49/11.21
% 73.49/11.21 (additive_commutativity)
% 73.49/11.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (addition(v1, v0) = v2) | ~
% 73.49/11.21 $i(v1) | ~ $i(v0) | (addition(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : !
% 73.49/11.21 [v1: $i] : ! [v2: $i] : ( ~ (addition(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 73.49/11.21 (addition(v1, v0) = v2 & $i(v2)))
% 73.49/11.21
% 73.49/11.21 (distributivity1)
% 73.49/11.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 73.49/11.22 $i] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) |
% 73.49/11.22 ~ (addition(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i]
% 73.49/11.22 : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6 & $i(v6) & $i(v5))) &
% 73.49/11.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.49/11.22 (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ~ $i(v2) | ~
% 73.49/11.22 $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (multiplication(v0, v2) =
% 73.49/11.22 v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4 & $i(v6) & $i(v5)
% 73.49/11.22 & $i(v4)))
% 73.49/11.22
% 73.49/11.22 (distributivity2)
% 73.49/11.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 73.49/11.22 $i] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) |
% 73.49/11.22 ~ (addition(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i]
% 73.49/11.22 : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6 & $i(v6) & $i(v5))) &
% 73.49/11.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.49/11.22 (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ~ $i(v2) | ~
% 73.49/11.22 $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (multiplication(v1, v2) =
% 73.49/11.22 v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4 & $i(v6) & $i(v5)
% 73.49/11.22 & $i(v4)))
% 73.49/11.22
% 73.49/11.22 (goals)
% 73.49/11.23 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 73.49/11.23 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0)
% 73.49/11.23 & leq(v6, v8) = v9 & leq(v3, v4) = 0 & star(v2) = v7 & star(v0) = v5 &
% 73.49/11.23 multiplication(v5, v1) = v6 & multiplication(v1, v7) = v8 &
% 73.49/11.23 multiplication(v1, v2) = v4 & multiplication(v0, v1) = v3 & $i(v8) & $i(v7)
% 73.49/11.23 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 73.49/11.23
% 73.49/11.23 (idempotence)
% 73.49/11.23 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (addition(v0, v0) = v1) | ~ $i(v0))
% 73.49/11.23
% 73.49/11.23 (infty_unfold1)
% 73.49/11.23 $i(one) & ! [v0: $i] : ! [v1: $i] : ( ~ (strong_iteration(v0) = v1) | ~
% 73.49/11.23 $i(v0) | ? [v2: $i] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1
% 73.49/11.23 & $i(v2) & $i(v1)))
% 73.49/11.23
% 73.49/11.23 (isolation)
% 73.49/11.23 $i(zero) & ! [v0: $i] : ! [v1: $i] : ( ~ (strong_iteration(v0) = v1) | ~
% 73.49/11.23 $i(v0) | ? [v2: $i] : ? [v3: $i] : (star(v0) = v2 & multiplication(v1,
% 73.49/11.23 zero) = v3 & addition(v2, v3) = v1 & $i(v3) & $i(v2) & $i(v1))) & !
% 73.49/11.23 [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ?
% 73.49/11.23 [v3: $i] : (strong_iteration(v0) = v2 & multiplication(v2, zero) = v3 &
% 73.49/11.23 addition(v1, v3) = v2 & $i(v3) & $i(v2)))
% 73.49/11.23
% 73.49/11.23 (multiplicative_associativity)
% 73.49/11.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.49/11.24 (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ $i(v2)
% 73.49/11.24 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (multiplication(v1, v2) = v5 &
% 73.49/11.24 multiplication(v0, v5) = v4 & $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1:
% 73.49/11.24 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (multiplication(v1, v2)
% 73.49/11.24 = v3) | ~ (multiplication(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 73.49/11.24 $i(v0) | ? [v5: $i] : (multiplication(v5, v2) = v4 & multiplication(v0, v1)
% 73.49/11.24 = v5 & $i(v5) & $i(v4)))
% 73.49/11.24
% 73.49/11.24 (multiplicative_left_identity)
% 73.49/11.24 $i(one) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(one, v0) =
% 73.49/11.24 v1) | ~ $i(v0))
% 73.49/11.24
% 73.49/11.24 (multiplicative_right_identity)
% 73.49/11.24 $i(one) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(v0, one) =
% 73.49/11.24 v1) | ~ $i(v0))
% 73.49/11.24
% 73.49/11.24 (order)
% 73.68/11.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (addition(v0, v1) =
% 73.68/11.24 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & leq(v0, v1) =
% 73.68/11.24 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0,
% 73.68/11.24 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v1) &
% 73.68/11.24 addition(v0, v1) = v3 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 73.68/11.24 (leq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | addition(v0, v1) = v1) & ! [v0:
% 73.68/11.24 $i] : ! [v1: $i] : ( ~ (addition(v0, v1) = v1) | ~ $i(v1) | ~ $i(v0) |
% 73.68/11.24 leq(v0, v1) = 0)
% 73.68/11.24
% 73.68/11.24 (star_induction1)
% 73.68/11.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 73.68/11.25 int] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~
% 73.68/11.25 (multiplication(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6:
% 73.68/11.25 $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & leq(v7, v2) = v8 &
% 73.68/11.25 multiplication(v0, v2) = v6 & addition(v6, v1) = v7 & $i(v7) & $i(v6))) &
% 73.68/11.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 73.68/11.25 (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ~ $i(v2) | ~
% 73.68/11.25 $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] : ? [v8: int]
% 73.68/11.25 : ((v8 = 0 & leq(v7, v2) = 0 & star(v0) = v6 & multiplication(v6, v1) = v7 &
% 73.68/11.25 $i(v7) & $i(v6)) | ( ~ (v5 = 0) & leq(v4, v2) = v5)))
% 73.68/11.25
% 73.68/11.25 (star_unfold1)
% 73.68/11.25 $i(one) & ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ?
% 73.68/11.25 [v2: $i] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1 & $i(v2) &
% 73.68/11.25 $i(v1)))
% 73.68/11.25
% 73.68/11.25 (star_unfold2)
% 73.68/11.25 $i(one) & ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ?
% 73.68/11.25 [v2: $i] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1 & $i(v2) &
% 73.68/11.25 $i(v1)))
% 73.68/11.25
% 73.68/11.25 (function-axioms)
% 73.68/11.26 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 73.68/11.26 [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0:
% 73.68/11.26 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.68/11.26 (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0:
% 73.68/11.26 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (addition(v3,
% 73.68/11.26 v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 73.68/11.26 [v2: $i] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~
% 73.68/11.26 (strong_iteration(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 73.68/11.26 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 73.68/11.26
% 73.68/11.26 Further assumptions not needed in the proof:
% 73.68/11.26 --------------------------------------------
% 73.68/11.26 additive_identity, infty_coinduction, left_annihilation, star_induction2
% 73.68/11.26
% 73.68/11.26 Those formulas are unsatisfiable:
% 73.68/11.26 ---------------------------------
% 73.68/11.26
% 73.68/11.26 Begin of proof
% 73.68/11.26 |
% 73.68/11.26 | ALPHA: (additive_commutativity) implies:
% 73.68/11.26 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (addition(v1, v0) = v2) |
% 73.68/11.26 | ~ $i(v1) | ~ $i(v0) | (addition(v0, v1) = v2 & $i(v2)))
% 73.68/11.26 |
% 73.68/11.26 | ALPHA: (additive_associativity) implies:
% 73.68/11.26 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 73.68/11.26 | ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ~ $i(v2) |
% 73.68/11.26 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (addition(v5, v0) = v4 &
% 73.68/11.26 | addition(v2, v1) = v5 & $i(v5) & $i(v4)))
% 73.68/11.26 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 73.68/11.26 | ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ~ $i(v2) |
% 73.68/11.26 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (addition(v2, v5) = v4 &
% 73.68/11.26 | addition(v1, v0) = v5 & $i(v5) & $i(v4)))
% 73.68/11.26 |
% 73.68/11.26 | ALPHA: (multiplicative_associativity) implies:
% 73.68/11.26 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 73.68/11.26 | ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) |
% 73.68/11.26 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (multiplication(v5,
% 73.68/11.26 | v2) = v4 & multiplication(v0, v1) = v5 & $i(v5) & $i(v4)))
% 73.68/11.26 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 73.68/11.26 | ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) |
% 73.68/11.26 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (multiplication(v1,
% 73.68/11.26 | v2) = v5 & multiplication(v0, v5) = v4 & $i(v5) & $i(v4)))
% 73.68/11.26 |
% 73.68/11.26 | ALPHA: (multiplicative_right_identity) implies:
% 73.68/11.27 | (6) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(v0, one) =
% 73.68/11.27 | v1) | ~ $i(v0))
% 73.68/11.27 |
% 73.68/11.27 | ALPHA: (multiplicative_left_identity) implies:
% 73.68/11.27 | (7) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(one, v0) =
% 73.68/11.27 | v1) | ~ $i(v0))
% 73.68/11.27 |
% 73.68/11.27 | ALPHA: (distributivity1) implies:
% 73.68/11.27 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 73.68/11.27 | ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ~
% 73.68/11.27 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 73.68/11.27 | (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 &
% 73.68/11.27 | addition(v5, v6) = v4 & $i(v6) & $i(v5) & $i(v4)))
% 73.68/11.27 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.68/11.27 | ! [v5: $i] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0,
% 73.68/11.27 | v1) = v3) | ~ (addition(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) |
% 73.68/11.27 | ~ $i(v0) | ? [v6: $i] : (multiplication(v0, v6) = v5 & addition(v1,
% 73.68/11.27 | v2) = v6 & $i(v6) & $i(v5)))
% 73.68/11.27 |
% 73.68/11.27 | ALPHA: (distributivity2) implies:
% 73.68/11.27 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.68/11.27 | ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ~
% 73.68/11.27 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 73.68/11.27 | (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 &
% 73.68/11.27 | addition(v5, v6) = v4 & $i(v6) & $i(v5) & $i(v4)))
% 73.68/11.27 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.68/11.27 | ! [v5: $i] : ( ~ (multiplication(v1, v2) = v4) | ~
% 73.68/11.27 | (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ~
% 73.68/11.27 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : (multiplication(v6,
% 73.68/11.27 | v2) = v5 & addition(v0, v1) = v6 & $i(v6) & $i(v5)))
% 73.68/11.27 |
% 73.68/11.27 | ALPHA: (star_unfold1) implies:
% 73.68/11.27 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.68/11.27 | $i] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1 &
% 73.68/11.27 | $i(v2) & $i(v1)))
% 73.68/11.27 |
% 73.68/11.27 | ALPHA: (star_unfold2) implies:
% 73.68/11.27 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.68/11.27 | $i] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1 &
% 73.68/11.27 | $i(v2) & $i(v1)))
% 73.68/11.27 |
% 73.68/11.27 | ALPHA: (star_induction1) implies:
% 73.68/11.28 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 73.68/11.28 | ! [v5: int] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) |
% 73.68/11.28 | ~ (multiplication(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 73.68/11.28 | | ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & leq(v7,
% 73.68/11.28 | v2) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7 &
% 73.68/11.28 | $i(v7) & $i(v6)))
% 73.68/11.28 |
% 73.68/11.28 | ALPHA: (infty_unfold1) implies:
% 73.68/11.28 | (15) $i(one)
% 73.68/11.28 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (strong_iteration(v0) = v1) | ~
% 73.68/11.28 | $i(v0) | ? [v2: $i] : (multiplication(v0, v1) = v2 & addition(v2,
% 73.68/11.28 | one) = v1 & $i(v2) & $i(v1)))
% 73.68/11.28 |
% 73.68/11.28 | ALPHA: (isolation) implies:
% 73.68/11.28 | (17) $i(zero)
% 73.68/11.28 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2:
% 73.68/11.28 | $i] : ? [v3: $i] : (strong_iteration(v0) = v2 &
% 73.68/11.28 | multiplication(v2, zero) = v3 & addition(v1, v3) = v2 & $i(v3) &
% 73.68/11.28 | $i(v2)))
% 73.68/11.28 |
% 73.68/11.28 | ALPHA: (order) implies:
% 73.68/11.28 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~
% 73.68/11.28 | $i(v0) | addition(v0, v1) = v1)
% 73.68/11.28 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, v1) =
% 73.68/11.28 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v1) &
% 73.68/11.28 | addition(v0, v1) = v3 & $i(v3)))
% 73.68/11.28 |
% 73.68/11.28 | ALPHA: (function-axioms) implies:
% 73.68/11.28 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.68/11.28 | (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 73.68/11.28 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.68/11.28 | (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 73.68/11.28 |
% 73.68/11.28 | DELTA: instantiating (goals) with fresh symbols all_22_0, all_22_1, all_22_2,
% 73.68/11.28 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9
% 73.68/11.28 | gives:
% 73.68/11.28 | (23) ~ (all_22_0 = 0) & leq(all_22_3, all_22_1) = all_22_0 & leq(all_22_6,
% 73.68/11.28 | all_22_5) = 0 & star(all_22_7) = all_22_2 & star(all_22_9) =
% 73.68/11.28 | all_22_4 & multiplication(all_22_4, all_22_8) = all_22_3 &
% 73.68/11.28 | multiplication(all_22_8, all_22_2) = all_22_1 &
% 73.68/11.28 | multiplication(all_22_8, all_22_7) = all_22_5 &
% 73.68/11.28 | multiplication(all_22_9, all_22_8) = all_22_6 & $i(all_22_1) &
% 73.68/11.28 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 73.68/11.28 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9)
% 73.68/11.28 |
% 73.68/11.28 | ALPHA: (23) implies:
% 73.68/11.28 | (24) ~ (all_22_0 = 0)
% 73.68/11.28 | (25) $i(all_22_9)
% 73.68/11.28 | (26) $i(all_22_8)
% 73.68/11.28 | (27) $i(all_22_7)
% 73.68/11.28 | (28) $i(all_22_6)
% 73.68/11.29 | (29) $i(all_22_5)
% 73.68/11.29 | (30) $i(all_22_3)
% 73.68/11.29 | (31) $i(all_22_1)
% 73.68/11.29 | (32) multiplication(all_22_9, all_22_8) = all_22_6
% 73.68/11.29 | (33) multiplication(all_22_8, all_22_7) = all_22_5
% 73.68/11.29 | (34) multiplication(all_22_8, all_22_2) = all_22_1
% 73.68/11.29 | (35) multiplication(all_22_4, all_22_8) = all_22_3
% 73.68/11.29 | (36) star(all_22_9) = all_22_4
% 73.68/11.29 | (37) star(all_22_7) = all_22_2
% 73.68/11.29 | (38) leq(all_22_6, all_22_5) = 0
% 73.68/11.29 | (39) leq(all_22_3, all_22_1) = all_22_0
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (18) with all_22_9, all_22_4, simplifying with
% 73.68/11.29 | (25), (36) gives:
% 73.68/11.29 | (40) ? [v0: $i] : ? [v1: $i] : (strong_iteration(all_22_9) = v0 &
% 73.68/11.29 | multiplication(v0, zero) = v1 & addition(all_22_4, v1) = v0 & $i(v1)
% 73.68/11.29 | & $i(v0))
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (13) with all_22_9, all_22_4, simplifying with
% 73.68/11.29 | (25), (36) gives:
% 73.68/11.29 | (41) ? [v0: $i] : (multiplication(all_22_4, all_22_9) = v0 & addition(one,
% 73.68/11.29 | v0) = all_22_4 & $i(v0) & $i(all_22_4))
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (12) with all_22_9, all_22_4, simplifying with
% 73.68/11.29 | (25), (36) gives:
% 73.68/11.29 | (42) ? [v0: $i] : (multiplication(all_22_9, all_22_4) = v0 & addition(one,
% 73.68/11.29 | v0) = all_22_4 & $i(v0) & $i(all_22_4))
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (18) with all_22_7, all_22_2, simplifying with
% 73.68/11.29 | (27), (37) gives:
% 73.68/11.29 | (43) ? [v0: $i] : ? [v1: $i] : (strong_iteration(all_22_7) = v0 &
% 73.68/11.29 | multiplication(v0, zero) = v1 & addition(all_22_2, v1) = v0 & $i(v1)
% 73.68/11.29 | & $i(v0))
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (13) with all_22_7, all_22_2, simplifying with
% 73.68/11.29 | (27), (37) gives:
% 73.68/11.29 | (44) ? [v0: $i] : (multiplication(all_22_2, all_22_7) = v0 & addition(one,
% 73.68/11.29 | v0) = all_22_2 & $i(v0) & $i(all_22_2))
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (12) with all_22_7, all_22_2, simplifying with
% 73.68/11.29 | (27), (37) gives:
% 73.68/11.29 | (45) ? [v0: $i] : (multiplication(all_22_7, all_22_2) = v0 & addition(one,
% 73.68/11.29 | v0) = all_22_2 & $i(v0) & $i(all_22_2))
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (19) with all_22_6, all_22_5, simplifying with
% 73.68/11.29 | (28), (29), (38) gives:
% 73.68/11.29 | (46) addition(all_22_6, all_22_5) = all_22_5
% 73.68/11.29 |
% 73.68/11.29 | GROUND_INST: instantiating (14) with all_22_9, all_22_8, all_22_1, all_22_4,
% 73.68/11.29 | all_22_3, all_22_0, simplifying with (25), (26), (31), (35),
% 73.68/11.29 | (36), (39) gives:
% 73.68/11.30 | (47) all_22_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0)
% 73.68/11.30 | & leq(v1, all_22_1) = v2 & multiplication(all_22_9, all_22_1) = v0 &
% 73.68/11.30 | addition(v0, all_22_8) = v1 & $i(v1) & $i(v0))
% 73.68/11.30 |
% 73.68/11.30 | GROUND_INST: instantiating (20) with all_22_3, all_22_1, all_22_0, simplifying
% 73.68/11.30 | with (30), (31), (39) gives:
% 73.68/11.30 | (48) all_22_0 = 0 | ? [v0: any] : ( ~ (v0 = all_22_1) & addition(all_22_3,
% 73.68/11.30 | all_22_1) = v0 & $i(v0))
% 73.68/11.30 |
% 73.68/11.30 | DELTA: instantiating (45) with fresh symbol all_30_0 gives:
% 73.68/11.30 | (49) multiplication(all_22_7, all_22_2) = all_30_0 & addition(one,
% 73.68/11.30 | all_30_0) = all_22_2 & $i(all_30_0) & $i(all_22_2)
% 73.68/11.30 |
% 73.68/11.30 | ALPHA: (49) implies:
% 73.68/11.30 | (50) $i(all_30_0)
% 73.68/11.30 | (51) addition(one, all_30_0) = all_22_2
% 73.68/11.30 | (52) multiplication(all_22_7, all_22_2) = all_30_0
% 73.68/11.30 |
% 73.68/11.30 | DELTA: instantiating (44) with fresh symbol all_32_0 gives:
% 73.68/11.30 | (53) multiplication(all_22_2, all_22_7) = all_32_0 & addition(one,
% 73.68/11.30 | all_32_0) = all_22_2 & $i(all_32_0) & $i(all_22_2)
% 73.68/11.30 |
% 73.68/11.30 | ALPHA: (53) implies:
% 73.68/11.30 | (54) $i(all_32_0)
% 73.68/11.30 | (55) addition(one, all_32_0) = all_22_2
% 73.68/11.30 | (56) multiplication(all_22_2, all_22_7) = all_32_0
% 73.68/11.30 |
% 73.68/11.30 | DELTA: instantiating (42) with fresh symbol all_34_0 gives:
% 73.68/11.30 | (57) multiplication(all_22_9, all_22_4) = all_34_0 & addition(one,
% 73.68/11.30 | all_34_0) = all_22_4 & $i(all_34_0) & $i(all_22_4)
% 73.68/11.30 |
% 73.68/11.30 | ALPHA: (57) implies:
% 73.68/11.30 | (58) $i(all_34_0)
% 73.68/11.30 | (59) addition(one, all_34_0) = all_22_4
% 73.68/11.30 | (60) multiplication(all_22_9, all_22_4) = all_34_0
% 73.68/11.30 |
% 73.68/11.30 | DELTA: instantiating (41) with fresh symbol all_36_0 gives:
% 73.68/11.30 | (61) multiplication(all_22_4, all_22_9) = all_36_0 & addition(one,
% 73.68/11.30 | all_36_0) = all_22_4 & $i(all_36_0) & $i(all_22_4)
% 73.68/11.30 |
% 73.68/11.30 | ALPHA: (61) implies:
% 73.68/11.30 | (62) $i(all_36_0)
% 73.68/11.30 | (63) addition(one, all_36_0) = all_22_4
% 73.68/11.30 | (64) multiplication(all_22_4, all_22_9) = all_36_0
% 73.68/11.30 |
% 73.68/11.30 | DELTA: instantiating (40) with fresh symbols all_38_0, all_38_1 gives:
% 73.68/11.30 | (65) strong_iteration(all_22_9) = all_38_1 & multiplication(all_38_1, zero)
% 73.68/11.30 | = all_38_0 & addition(all_22_4, all_38_0) = all_38_1 & $i(all_38_0) &
% 73.68/11.30 | $i(all_38_1)
% 73.68/11.30 |
% 73.68/11.30 | ALPHA: (65) implies:
% 73.68/11.30 | (66) $i(all_38_0)
% 73.68/11.30 | (67) addition(all_22_4, all_38_0) = all_38_1
% 73.68/11.30 | (68) multiplication(all_38_1, zero) = all_38_0
% 73.68/11.30 | (69) strong_iteration(all_22_9) = all_38_1
% 73.68/11.30 |
% 73.68/11.30 | DELTA: instantiating (43) with fresh symbols all_40_0, all_40_1 gives:
% 73.68/11.30 | (70) strong_iteration(all_22_7) = all_40_1 & multiplication(all_40_1, zero)
% 73.68/11.30 | = all_40_0 & addition(all_22_2, all_40_0) = all_40_1 & $i(all_40_0) &
% 73.68/11.30 | $i(all_40_1)
% 73.68/11.30 |
% 73.68/11.30 | ALPHA: (70) implies:
% 73.68/11.30 | (71) $i(all_40_0)
% 73.68/11.30 | (72) addition(all_22_2, all_40_0) = all_40_1
% 73.68/11.30 | (73) multiplication(all_40_1, zero) = all_40_0
% 73.68/11.30 | (74) strong_iteration(all_22_7) = all_40_1
% 73.68/11.30 |
% 73.68/11.30 | BETA: splitting (48) gives:
% 73.68/11.30 |
% 73.68/11.30 | Case 1:
% 73.68/11.30 | |
% 73.68/11.30 | | (75) all_22_0 = 0
% 73.68/11.30 | |
% 73.68/11.30 | | REDUCE: (24), (75) imply:
% 73.68/11.30 | | (76) $false
% 73.68/11.31 | |
% 73.68/11.31 | | CLOSE: (76) is inconsistent.
% 73.68/11.31 | |
% 73.68/11.31 | Case 2:
% 73.68/11.31 | |
% 73.68/11.31 | | (77) ? [v0: any] : ( ~ (v0 = all_22_1) & addition(all_22_3, all_22_1) =
% 73.68/11.31 | | v0 & $i(v0))
% 73.68/11.31 | |
% 73.68/11.31 | | DELTA: instantiating (77) with fresh symbol all_46_0 gives:
% 73.68/11.31 | | (78) ~ (all_46_0 = all_22_1) & addition(all_22_3, all_22_1) = all_46_0 &
% 73.68/11.31 | | $i(all_46_0)
% 73.68/11.31 | |
% 73.68/11.31 | | ALPHA: (78) implies:
% 73.68/11.31 | | (79) addition(all_22_3, all_22_1) = all_46_0
% 73.68/11.31 | |
% 73.68/11.31 | | BETA: splitting (47) gives:
% 73.68/11.31 | |
% 73.68/11.31 | | Case 1:
% 73.68/11.31 | | |
% 73.68/11.31 | | | (80) all_22_0 = 0
% 73.68/11.31 | | |
% 73.68/11.31 | | | REDUCE: (24), (80) imply:
% 73.68/11.31 | | | (81) $false
% 73.68/11.31 | | |
% 73.68/11.31 | | | CLOSE: (81) is inconsistent.
% 73.68/11.31 | | |
% 73.68/11.31 | | Case 2:
% 73.68/11.31 | | |
% 73.68/11.31 | | | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & leq(v1,
% 73.68/11.31 | | | all_22_1) = v2 & multiplication(all_22_9, all_22_1) = v0 &
% 73.68/11.31 | | | addition(v0, all_22_8) = v1 & $i(v1) & $i(v0))
% 73.68/11.31 | | |
% 73.68/11.31 | | | DELTA: instantiating (82) with fresh symbols all_51_0, all_51_1, all_51_2
% 73.68/11.31 | | | gives:
% 73.68/11.31 | | | (83) ~ (all_51_0 = 0) & leq(all_51_1, all_22_1) = all_51_0 &
% 73.68/11.31 | | | multiplication(all_22_9, all_22_1) = all_51_2 & addition(all_51_2,
% 73.68/11.31 | | | all_22_8) = all_51_1 & $i(all_51_1) & $i(all_51_2)
% 73.68/11.31 | | |
% 73.68/11.31 | | | ALPHA: (83) implies:
% 73.68/11.31 | | | (84) ~ (all_51_0 = 0)
% 73.68/11.31 | | | (85) $i(all_51_2)
% 73.68/11.31 | | | (86) addition(all_51_2, all_22_8) = all_51_1
% 73.68/11.31 | | | (87) multiplication(all_22_9, all_22_1) = all_51_2
% 73.68/11.31 | | | (88) leq(all_51_1, all_22_1) = all_51_0
% 73.68/11.31 | | |
% 73.68/11.31 | | | GROUND_INST: instantiating (8) with all_22_8, one, all_30_0, all_22_2,
% 73.68/11.31 | | | all_22_1, simplifying with (15), (26), (34), (50), (51)
% 73.68/11.31 | | | gives:
% 73.68/11.31 | | | (89) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_30_0) =
% 73.68/11.31 | | | v1 & multiplication(all_22_8, one) = v0 & addition(v0, v1) =
% 73.68/11.31 | | | all_22_1 & $i(v1) & $i(v0) & $i(all_22_1))
% 73.68/11.31 | | |
% 73.68/11.31 | | | GROUND_INST: instantiating (1) with all_30_0, one, all_22_2, simplifying
% 73.68/11.31 | | | with (15), (50), (51) gives:
% 73.68/11.31 | | | (90) addition(all_30_0, one) = all_22_2 & $i(all_22_2)
% 73.68/11.31 | | |
% 73.68/11.31 | | | ALPHA: (90) implies:
% 73.68/11.31 | | | (91) addition(all_30_0, one) = all_22_2
% 73.68/11.31 | | |
% 73.68/11.31 | | | GROUND_INST: instantiating (8) with all_22_8, one, all_32_0, all_22_2,
% 73.68/11.31 | | | all_22_1, simplifying with (15), (26), (34), (54), (55)
% 73.68/11.31 | | | gives:
% 73.68/11.31 | | | (92) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_32_0) =
% 73.68/11.31 | | | v1 & multiplication(all_22_8, one) = v0 & addition(v0, v1) =
% 73.68/11.31 | | | all_22_1 & $i(v1) & $i(v0) & $i(all_22_1))
% 73.68/11.31 | | |
% 73.68/11.31 | | | GROUND_INST: instantiating (1) with all_32_0, one, all_22_2, simplifying
% 73.68/11.31 | | | with (15), (54), (55) gives:
% 73.68/11.31 | | | (93) addition(all_32_0, one) = all_22_2 & $i(all_22_2)
% 73.68/11.31 | | |
% 73.68/11.31 | | | ALPHA: (93) implies:
% 73.68/11.31 | | | (94) $i(all_22_2)
% 73.68/11.31 | | | (95) addition(all_32_0, one) = all_22_2
% 73.68/11.31 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (10) with one, all_34_0, all_22_8, all_22_4,
% 73.68/11.32 | | | all_22_3, simplifying with (15), (26), (35), (58), (59)
% 73.68/11.32 | | | gives:
% 73.68/11.32 | | | (96) ? [v0: $i] : ? [v1: $i] : (multiplication(all_34_0, all_22_8) =
% 73.68/11.32 | | | v1 & multiplication(one, all_22_8) = v0 & addition(v0, v1) =
% 73.68/11.32 | | | all_22_3 & $i(v1) & $i(v0) & $i(all_22_3))
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (1) with all_34_0, one, all_22_4, simplifying
% 73.68/11.32 | | | with (15), (58), (59) gives:
% 73.68/11.32 | | | (97) addition(all_34_0, one) = all_22_4 & $i(all_22_4)
% 73.68/11.32 | | |
% 73.68/11.32 | | | ALPHA: (97) implies:
% 73.68/11.32 | | | (98) addition(all_34_0, one) = all_22_4
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (10) with one, all_36_0, all_22_8, all_22_4,
% 73.68/11.32 | | | all_22_3, simplifying with (15), (26), (35), (62), (63)
% 73.68/11.32 | | | gives:
% 73.68/11.32 | | | (99) ? [v0: $i] : ? [v1: $i] : (multiplication(all_36_0, all_22_8) =
% 73.68/11.32 | | | v1 & multiplication(one, all_22_8) = v0 & addition(v0, v1) =
% 73.68/11.32 | | | all_22_3 & $i(v1) & $i(v0) & $i(all_22_3))
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (1) with all_36_0, one, all_22_4, simplifying
% 73.68/11.32 | | | with (15), (62), (63) gives:
% 73.68/11.32 | | | (100) addition(all_36_0, one) = all_22_4 & $i(all_22_4)
% 73.68/11.32 | | |
% 73.68/11.32 | | | ALPHA: (100) implies:
% 73.68/11.32 | | | (101) $i(all_22_4)
% 73.68/11.32 | | | (102) addition(all_36_0, one) = all_22_4
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (2) with all_22_5, all_22_6, all_22_6,
% 73.68/11.32 | | | all_22_5, all_22_5, simplifying with (28), (29), (46) gives:
% 73.68/11.32 | | | (103) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 &
% 73.68/11.32 | | | addition(all_22_6, all_22_6) = v0 & $i(v0))
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (1) with all_22_5, all_22_6, all_22_5,
% 73.68/11.32 | | | simplifying with (28), (29), (46) gives:
% 73.68/11.32 | | | (104) addition(all_22_5, all_22_6) = all_22_5
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (3) with all_38_0, all_36_0, one, all_22_4,
% 73.68/11.32 | | | all_38_1, simplifying with (15), (62), (63), (66), (67)
% 73.68/11.32 | | | gives:
% 73.68/11.32 | | | (105) ? [v0: $i] : (addition(all_36_0, all_38_0) = v0 & addition(one,
% 73.68/11.32 | | | v0) = all_38_1 & $i(v0) & $i(all_38_1))
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (3) with all_38_0, all_34_0, one, all_22_4,
% 73.68/11.32 | | | all_38_1, simplifying with (15), (58), (59), (66), (67)
% 73.68/11.32 | | | gives:
% 73.68/11.32 | | | (106) ? [v0: $i] : (addition(all_34_0, all_38_0) = v0 & addition(one,
% 73.68/11.32 | | | v0) = all_38_1 & $i(v0) & $i(all_38_1))
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (1) with all_38_0, all_22_4, all_38_1,
% 73.68/11.32 | | | simplifying with (66), (67), (101) gives:
% 73.68/11.32 | | | (107) addition(all_38_0, all_22_4) = all_38_1 & $i(all_38_1)
% 73.68/11.32 | | |
% 73.68/11.32 | | | ALPHA: (107) implies:
% 73.68/11.32 | | | (108) addition(all_38_0, all_22_4) = all_38_1
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (1) with all_22_1, all_22_3, all_46_0,
% 73.68/11.32 | | | simplifying with (30), (31), (79) gives:
% 73.68/11.32 | | | (109) addition(all_22_1, all_22_3) = all_46_0 & $i(all_46_0)
% 73.68/11.32 | | |
% 73.68/11.32 | | | ALPHA: (109) implies:
% 73.68/11.32 | | | (110) addition(all_22_1, all_22_3) = all_46_0
% 73.68/11.32 | | |
% 73.68/11.32 | | | GROUND_INST: instantiating (3) with all_40_0, all_32_0, one, all_22_2,
% 73.68/11.32 | | | all_40_1, simplifying with (15), (54), (55), (71), (72)
% 73.68/11.32 | | | gives:
% 73.68/11.33 | | | (111) ? [v0: $i] : (addition(all_32_0, all_40_0) = v0 & addition(one,
% 73.68/11.33 | | | v0) = all_40_1 & $i(v0) & $i(all_40_1))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (3) with all_40_0, all_30_0, one, all_22_2,
% 73.68/11.33 | | | all_40_1, simplifying with (15), (50), (51), (71), (72)
% 73.68/11.33 | | | gives:
% 73.68/11.33 | | | (112) ? [v0: $i] : (addition(all_30_0, all_40_0) = v0 & addition(one,
% 73.68/11.33 | | | v0) = all_40_1 & $i(v0) & $i(all_40_1))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (1) with all_40_0, all_22_2, all_40_1,
% 73.68/11.33 | | | simplifying with (71), (72), (94) gives:
% 73.68/11.33 | | | (113) addition(all_40_0, all_22_2) = all_40_1 & $i(all_40_1)
% 73.68/11.33 | | |
% 73.68/11.33 | | | ALPHA: (113) implies:
% 73.68/11.33 | | | (114) addition(all_40_0, all_22_2) = all_40_1
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (1) with all_22_8, all_51_2, all_51_1,
% 73.68/11.33 | | | simplifying with (26), (85), (86) gives:
% 73.68/11.33 | | | (115) addition(all_22_8, all_51_2) = all_51_1 & $i(all_51_1)
% 73.68/11.33 | | |
% 73.68/11.33 | | | ALPHA: (115) implies:
% 73.68/11.33 | | | (116) $i(all_51_1)
% 73.68/11.33 | | | (117) addition(all_22_8, all_51_2) = all_51_1
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (8) with all_22_9, one, all_36_0, all_22_4,
% 73.68/11.33 | | | all_34_0, simplifying with (15), (25), (60), (62), (63)
% 73.68/11.33 | | | gives:
% 73.68/11.33 | | | (118) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_36_0) =
% 73.68/11.33 | | | v1 & multiplication(all_22_9, one) = v0 & addition(v0, v1) =
% 73.68/11.33 | | | all_34_0 & $i(v1) & $i(v0) & $i(all_34_0))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (8) with all_22_9, one, all_34_0, all_22_4,
% 73.68/11.33 | | | all_34_0, simplifying with (15), (25), (58), (59), (60)
% 73.68/11.33 | | | gives:
% 73.68/11.33 | | | (119) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_34_0) =
% 73.68/11.33 | | | v1 & multiplication(all_22_9, one) = v0 & addition(v0, v1) =
% 73.68/11.33 | | | all_34_0 & $i(v1) & $i(v0))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (4) with all_22_9, all_22_8, all_22_2,
% 73.68/11.33 | | | all_22_1, all_51_2, simplifying with (25), (26), (34), (87),
% 73.68/11.33 | | | (94) gives:
% 73.68/11.33 | | | (120) ? [v0: $i] : (multiplication(v0, all_22_2) = all_51_2 &
% 73.68/11.33 | | | multiplication(all_22_9, all_22_8) = v0 & $i(v0) &
% 73.68/11.33 | | | $i(all_51_2))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (8) with all_22_7, one, all_32_0, all_22_2,
% 73.68/11.33 | | | all_30_0, simplifying with (15), (27), (52), (54), (55)
% 73.68/11.33 | | | gives:
% 73.68/11.33 | | | (121) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_32_0) =
% 73.68/11.33 | | | v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1) =
% 73.68/11.33 | | | all_30_0 & $i(v1) & $i(v0) & $i(all_30_0))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (8) with all_22_7, one, all_30_0, all_22_2,
% 73.68/11.33 | | | all_30_0, simplifying with (15), (27), (50), (51), (52)
% 73.68/11.33 | | | gives:
% 73.68/11.33 | | | (122) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_30_0) =
% 73.68/11.33 | | | v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1) =
% 73.68/11.33 | | | all_30_0 & $i(v1) & $i(v0))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (10) with one, all_36_0, all_22_9, all_22_4,
% 73.68/11.33 | | | all_36_0, simplifying with (15), (25), (62), (63), (64)
% 73.68/11.33 | | | gives:
% 73.68/11.33 | | | (123) ? [v0: $i] : ? [v1: $i] : (multiplication(all_36_0, all_22_9) =
% 73.68/11.33 | | | v1 & multiplication(one, all_22_9) = v0 & addition(v0, v1) =
% 73.68/11.33 | | | all_36_0 & $i(v1) & $i(v0))
% 73.68/11.33 | | |
% 73.68/11.33 | | | GROUND_INST: instantiating (10) with one, all_34_0, all_22_9, all_22_4,
% 73.68/11.33 | | | all_36_0, simplifying with (15), (25), (58), (59), (64)
% 73.68/11.33 | | | gives:
% 74.14/11.34 | | | (124) ? [v0: $i] : ? [v1: $i] : (multiplication(all_34_0, all_22_9) =
% 74.14/11.34 | | | v1 & multiplication(one, all_22_9) = v0 & addition(v0, v1) =
% 74.14/11.34 | | | all_36_0 & $i(v1) & $i(v0) & $i(all_36_0))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (10) with one, all_32_0, all_22_7, all_22_2,
% 74.14/11.34 | | | all_32_0, simplifying with (15), (27), (54), (55), (56)
% 74.14/11.34 | | | gives:
% 74.14/11.34 | | | (125) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_7) =
% 74.14/11.34 | | | v1 & multiplication(one, all_22_7) = v0 & addition(v0, v1) =
% 74.14/11.34 | | | all_32_0 & $i(v1) & $i(v0))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (10) with one, all_30_0, all_22_7, all_22_2,
% 74.14/11.34 | | | all_32_0, simplifying with (15), (27), (50), (51), (56)
% 74.14/11.34 | | | gives:
% 74.14/11.34 | | | (126) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_7) =
% 74.14/11.34 | | | v1 & multiplication(one, all_22_7) = v0 & addition(v0, v1) =
% 74.14/11.34 | | | all_32_0 & $i(v1) & $i(v0) & $i(all_32_0))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (10) with all_22_4, all_38_0, zero, all_38_1,
% 74.14/11.34 | | | all_38_0, simplifying with (17), (66), (67), (68), (101)
% 74.14/11.34 | | | gives:
% 74.14/11.34 | | | (127) ? [v0: $i] : ? [v1: $i] : (multiplication(all_38_0, zero) = v1
% 74.14/11.34 | | | & multiplication(all_22_4, zero) = v0 & addition(v0, v1) =
% 74.14/11.34 | | | all_38_0 & $i(v1) & $i(v0))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (10) with all_22_2, all_40_0, zero, all_40_1,
% 74.14/11.34 | | | all_40_0, simplifying with (17), (71), (72), (73), (94)
% 74.14/11.34 | | | gives:
% 74.14/11.34 | | | (128) ? [v0: $i] : ? [v1: $i] : (multiplication(all_40_0, zero) = v1
% 74.14/11.34 | | | & multiplication(all_22_2, zero) = v0 & addition(v0, v1) =
% 74.14/11.34 | | | all_40_0 & $i(v1) & $i(v0))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (20) with all_51_1, all_22_1, all_51_0,
% 74.14/11.34 | | | simplifying with (31), (88), (116) gives:
% 74.14/11.34 | | | (129) all_51_0 = 0 | ? [v0: any] : ( ~ (v0 = all_22_1) &
% 74.14/11.34 | | | addition(all_51_1, all_22_1) = v0 & $i(v0))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (16) with all_22_9, all_38_1, simplifying with
% 74.14/11.34 | | | (25), (69) gives:
% 74.14/11.34 | | | (130) ? [v0: $i] : (multiplication(all_22_9, all_38_1) = v0 &
% 74.14/11.34 | | | addition(v0, one) = all_38_1 & $i(v0) & $i(all_38_1))
% 74.14/11.34 | | |
% 74.14/11.34 | | | GROUND_INST: instantiating (16) with all_22_7, all_40_1, simplifying with
% 74.14/11.34 | | | (27), (74) gives:
% 74.14/11.34 | | | (131) ? [v0: $i] : (multiplication(all_22_7, all_40_1) = v0 &
% 74.14/11.34 | | | addition(v0, one) = all_40_1 & $i(v0) & $i(all_40_1))
% 74.14/11.34 | | |
% 74.14/11.34 | | | DELTA: instantiating (103) with fresh symbol all_59_0 gives:
% 74.14/11.34 | | | (132) addition(all_59_0, all_22_5) = all_22_5 & addition(all_22_6,
% 74.14/11.34 | | | all_22_6) = all_59_0 & $i(all_59_0)
% 74.14/11.34 | | |
% 74.14/11.34 | | | ALPHA: (132) implies:
% 74.14/11.34 | | | (133) $i(all_59_0)
% 74.14/11.34 | | | (134) addition(all_22_6, all_22_6) = all_59_0
% 74.14/11.34 | | | (135) addition(all_59_0, all_22_5) = all_22_5
% 74.14/11.34 | | |
% 74.14/11.34 | | | DELTA: instantiating (112) with fresh symbol all_61_0 gives:
% 74.14/11.34 | | | (136) addition(all_30_0, all_40_0) = all_61_0 & addition(one, all_61_0)
% 74.14/11.34 | | | = all_40_1 & $i(all_61_0) & $i(all_40_1)
% 74.14/11.34 | | |
% 74.14/11.34 | | | ALPHA: (136) implies:
% 74.14/11.34 | | | (137) addition(one, all_61_0) = all_40_1
% 74.14/11.34 | | | (138) addition(all_30_0, all_40_0) = all_61_0
% 74.14/11.34 | | |
% 74.14/11.34 | | | DELTA: instantiating (111) with fresh symbol all_63_0 gives:
% 74.14/11.34 | | | (139) addition(all_32_0, all_40_0) = all_63_0 & addition(one, all_63_0)
% 74.14/11.34 | | | = all_40_1 & $i(all_63_0) & $i(all_40_1)
% 74.14/11.34 | | |
% 74.14/11.34 | | | ALPHA: (139) implies:
% 74.14/11.34 | | | (140) addition(one, all_63_0) = all_40_1
% 74.14/11.34 | | | (141) addition(all_32_0, all_40_0) = all_63_0
% 74.14/11.34 | | |
% 74.14/11.34 | | | DELTA: instantiating (105) with fresh symbol all_65_0 gives:
% 74.14/11.34 | | | (142) addition(all_36_0, all_38_0) = all_65_0 & addition(one, all_65_0)
% 74.14/11.34 | | | = all_38_1 & $i(all_65_0) & $i(all_38_1)
% 74.14/11.34 | | |
% 74.14/11.34 | | | ALPHA: (142) implies:
% 74.14/11.34 | | | (143) addition(one, all_65_0) = all_38_1
% 74.14/11.34 | | | (144) addition(all_36_0, all_38_0) = all_65_0
% 74.14/11.34 | | |
% 74.14/11.34 | | | DELTA: instantiating (106) with fresh symbol all_67_0 gives:
% 74.14/11.34 | | | (145) addition(all_34_0, all_38_0) = all_67_0 & addition(one, all_67_0)
% 74.14/11.34 | | | = all_38_1 & $i(all_67_0) & $i(all_38_1)
% 74.14/11.34 | | |
% 74.14/11.34 | | | ALPHA: (145) implies:
% 74.14/11.34 | | | (146) addition(one, all_67_0) = all_38_1
% 74.14/11.34 | | | (147) addition(all_34_0, all_38_0) = all_67_0
% 74.14/11.34 | | |
% 74.14/11.34 | | | DELTA: instantiating (131) with fresh symbol all_69_0 gives:
% 74.14/11.34 | | | (148) multiplication(all_22_7, all_40_1) = all_69_0 &
% 74.14/11.34 | | | addition(all_69_0, one) = all_40_1 & $i(all_69_0) & $i(all_40_1)
% 74.14/11.34 | | |
% 74.14/11.34 | | | ALPHA: (148) implies:
% 74.14/11.35 | | | (149) $i(all_69_0)
% 74.14/11.35 | | | (150) addition(all_69_0, one) = all_40_1
% 74.14/11.35 | | | (151) multiplication(all_22_7, all_40_1) = all_69_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (130) with fresh symbol all_71_0 gives:
% 74.14/11.35 | | | (152) multiplication(all_22_9, all_38_1) = all_71_0 &
% 74.14/11.35 | | | addition(all_71_0, one) = all_38_1 & $i(all_71_0) & $i(all_38_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (152) implies:
% 74.14/11.35 | | | (153) $i(all_71_0)
% 74.14/11.35 | | | (154) addition(all_71_0, one) = all_38_1
% 74.14/11.35 | | | (155) multiplication(all_22_9, all_38_1) = all_71_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (120) with fresh symbol all_73_0 gives:
% 74.14/11.35 | | | (156) multiplication(all_73_0, all_22_2) = all_51_2 &
% 74.14/11.35 | | | multiplication(all_22_9, all_22_8) = all_73_0 & $i(all_73_0) &
% 74.14/11.35 | | | $i(all_51_2)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (156) implies:
% 74.14/11.35 | | | (157) $i(all_73_0)
% 74.14/11.35 | | | (158) multiplication(all_22_9, all_22_8) = all_73_0
% 74.14/11.35 | | | (159) multiplication(all_73_0, all_22_2) = all_51_2
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (123) with fresh symbols all_75_0, all_75_1 gives:
% 74.14/11.35 | | | (160) multiplication(all_36_0, all_22_9) = all_75_0 &
% 74.14/11.35 | | | multiplication(one, all_22_9) = all_75_1 & addition(all_75_1,
% 74.14/11.35 | | | all_75_0) = all_36_0 & $i(all_75_0) & $i(all_75_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (160) implies:
% 74.14/11.35 | | | (161) $i(all_75_0)
% 74.14/11.35 | | | (162) addition(all_75_1, all_75_0) = all_36_0
% 74.14/11.35 | | | (163) multiplication(one, all_22_9) = all_75_1
% 74.14/11.35 | | | (164) multiplication(all_36_0, all_22_9) = all_75_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (119) with fresh symbols all_77_0, all_77_1 gives:
% 74.14/11.35 | | | (165) multiplication(all_22_9, all_34_0) = all_77_0 &
% 74.14/11.35 | | | multiplication(all_22_9, one) = all_77_1 & addition(all_77_1,
% 74.14/11.35 | | | all_77_0) = all_34_0 & $i(all_77_0) & $i(all_77_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (165) implies:
% 74.14/11.35 | | | (166) $i(all_77_0)
% 74.14/11.35 | | | (167) addition(all_77_1, all_77_0) = all_34_0
% 74.14/11.35 | | | (168) multiplication(all_22_9, one) = all_77_1
% 74.14/11.35 | | | (169) multiplication(all_22_9, all_34_0) = all_77_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (122) with fresh symbols all_79_0, all_79_1 gives:
% 74.14/11.35 | | | (170) multiplication(all_22_7, all_30_0) = all_79_0 &
% 74.14/11.35 | | | multiplication(all_22_7, one) = all_79_1 & addition(all_79_1,
% 74.14/11.35 | | | all_79_0) = all_30_0 & $i(all_79_0) & $i(all_79_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (170) implies:
% 74.14/11.35 | | | (171) $i(all_79_0)
% 74.14/11.35 | | | (172) addition(all_79_1, all_79_0) = all_30_0
% 74.14/11.35 | | | (173) multiplication(all_22_7, one) = all_79_1
% 74.14/11.35 | | | (174) multiplication(all_22_7, all_30_0) = all_79_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (128) with fresh symbols all_81_0, all_81_1 gives:
% 74.14/11.35 | | | (175) multiplication(all_40_0, zero) = all_81_0 &
% 74.14/11.35 | | | multiplication(all_22_2, zero) = all_81_1 & addition(all_81_1,
% 74.14/11.35 | | | all_81_0) = all_40_0 & $i(all_81_0) & $i(all_81_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (175) implies:
% 74.14/11.35 | | | (176) $i(all_81_1)
% 74.14/11.35 | | | (177) $i(all_81_0)
% 74.14/11.35 | | | (178) addition(all_81_1, all_81_0) = all_40_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (125) with fresh symbols all_83_0, all_83_1 gives:
% 74.14/11.35 | | | (179) multiplication(all_32_0, all_22_7) = all_83_0 &
% 74.14/11.35 | | | multiplication(one, all_22_7) = all_83_1 & addition(all_83_1,
% 74.14/11.35 | | | all_83_0) = all_32_0 & $i(all_83_0) & $i(all_83_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (179) implies:
% 74.14/11.35 | | | (180) $i(all_83_0)
% 74.14/11.35 | | | (181) addition(all_83_1, all_83_0) = all_32_0
% 74.14/11.35 | | | (182) multiplication(one, all_22_7) = all_83_1
% 74.14/11.35 | | | (183) multiplication(all_32_0, all_22_7) = all_83_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (127) with fresh symbols all_85_0, all_85_1 gives:
% 74.14/11.35 | | | (184) multiplication(all_38_0, zero) = all_85_0 &
% 74.14/11.35 | | | multiplication(all_22_4, zero) = all_85_1 & addition(all_85_1,
% 74.14/11.35 | | | all_85_0) = all_38_0 & $i(all_85_0) & $i(all_85_1)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (184) implies:
% 74.14/11.35 | | | (185) $i(all_85_1)
% 74.14/11.35 | | | (186) $i(all_85_0)
% 74.14/11.35 | | | (187) addition(all_85_1, all_85_0) = all_38_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (124) with fresh symbols all_87_0, all_87_1 gives:
% 74.14/11.35 | | | (188) multiplication(all_34_0, all_22_9) = all_87_0 &
% 74.14/11.35 | | | multiplication(one, all_22_9) = all_87_1 & addition(all_87_1,
% 74.14/11.35 | | | all_87_0) = all_36_0 & $i(all_87_0) & $i(all_87_1) &
% 74.14/11.35 | | | $i(all_36_0)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (188) implies:
% 74.14/11.35 | | | (189) $i(all_87_1)
% 74.14/11.35 | | | (190) $i(all_87_0)
% 74.14/11.35 | | | (191) addition(all_87_1, all_87_0) = all_36_0
% 74.14/11.35 | | | (192) multiplication(one, all_22_9) = all_87_1
% 74.14/11.35 | | | (193) multiplication(all_34_0, all_22_9) = all_87_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (121) with fresh symbols all_89_0, all_89_1 gives:
% 74.14/11.35 | | | (194) multiplication(all_22_7, all_32_0) = all_89_0 &
% 74.14/11.35 | | | multiplication(all_22_7, one) = all_89_1 & addition(all_89_1,
% 74.14/11.35 | | | all_89_0) = all_30_0 & $i(all_89_0) & $i(all_89_1) &
% 74.14/11.35 | | | $i(all_30_0)
% 74.14/11.35 | | |
% 74.14/11.35 | | | ALPHA: (194) implies:
% 74.14/11.35 | | | (195) $i(all_89_1)
% 74.14/11.35 | | | (196) $i(all_89_0)
% 74.14/11.35 | | | (197) addition(all_89_1, all_89_0) = all_30_0
% 74.14/11.35 | | | (198) multiplication(all_22_7, one) = all_89_1
% 74.14/11.35 | | | (199) multiplication(all_22_7, all_32_0) = all_89_0
% 74.14/11.35 | | |
% 74.14/11.35 | | | DELTA: instantiating (126) with fresh symbols all_91_0, all_91_1 gives:
% 74.14/11.36 | | | (200) multiplication(all_30_0, all_22_7) = all_91_0 &
% 74.14/11.36 | | | multiplication(one, all_22_7) = all_91_1 & addition(all_91_1,
% 74.14/11.36 | | | all_91_0) = all_32_0 & $i(all_91_0) & $i(all_91_1) &
% 74.14/11.36 | | | $i(all_32_0)
% 74.14/11.36 | | |
% 74.14/11.36 | | | ALPHA: (200) implies:
% 74.14/11.36 | | | (201) $i(all_91_1)
% 74.14/11.36 | | | (202) $i(all_91_0)
% 74.14/11.36 | | | (203) addition(all_91_1, all_91_0) = all_32_0
% 74.14/11.36 | | | (204) multiplication(one, all_22_7) = all_91_1
% 74.14/11.36 | | | (205) multiplication(all_30_0, all_22_7) = all_91_0
% 74.14/11.36 | | |
% 74.14/11.36 | | | DELTA: instantiating (118) with fresh symbols all_93_0, all_93_1 gives:
% 74.14/11.36 | | | (206) multiplication(all_22_9, all_36_0) = all_93_0 &
% 74.14/11.36 | | | multiplication(all_22_9, one) = all_93_1 & addition(all_93_1,
% 74.14/11.36 | | | all_93_0) = all_34_0 & $i(all_93_0) & $i(all_93_1) &
% 74.14/11.36 | | | $i(all_34_0)
% 74.14/11.36 | | |
% 74.14/11.36 | | | ALPHA: (206) implies:
% 74.14/11.36 | | | (207) $i(all_93_1)
% 74.14/11.36 | | | (208) $i(all_93_0)
% 74.14/11.36 | | | (209) addition(all_93_1, all_93_0) = all_34_0
% 74.14/11.36 | | | (210) multiplication(all_22_9, one) = all_93_1
% 74.14/11.36 | | | (211) multiplication(all_22_9, all_36_0) = all_93_0
% 74.14/11.36 | | |
% 74.14/11.36 | | | DELTA: instantiating (96) with fresh symbols all_95_0, all_95_1 gives:
% 74.14/11.36 | | | (212) multiplication(all_34_0, all_22_8) = all_95_0 &
% 74.14/11.36 | | | multiplication(one, all_22_8) = all_95_1 & addition(all_95_1,
% 74.14/11.36 | | | all_95_0) = all_22_3 & $i(all_95_0) & $i(all_95_1) &
% 74.14/11.36 | | | $i(all_22_3)
% 74.14/11.36 | | |
% 74.14/11.36 | | | ALPHA: (212) implies:
% 74.14/11.36 | | | (213) $i(all_95_0)
% 74.14/11.36 | | | (214) addition(all_95_1, all_95_0) = all_22_3
% 74.14/11.36 | | | (215) multiplication(one, all_22_8) = all_95_1
% 74.14/11.36 | | | (216) multiplication(all_34_0, all_22_8) = all_95_0
% 74.14/11.36 | | |
% 74.14/11.36 | | | DELTA: instantiating (89) with fresh symbols all_97_0, all_97_1 gives:
% 74.14/11.36 | | | (217) multiplication(all_22_8, all_30_0) = all_97_0 &
% 74.14/11.36 | | | multiplication(all_22_8, one) = all_97_1 & addition(all_97_1,
% 74.14/11.36 | | | all_97_0) = all_22_1 & $i(all_97_0) & $i(all_97_1) &
% 74.14/11.36 | | | $i(all_22_1)
% 74.14/11.36 | | |
% 74.14/11.36 | | | ALPHA: (217) implies:
% 74.14/11.36 | | | (218) $i(all_97_0)
% 74.14/11.36 | | | (219) addition(all_97_1, all_97_0) = all_22_1
% 74.14/11.36 | | | (220) multiplication(all_22_8, one) = all_97_1
% 74.14/11.36 | | | (221) multiplication(all_22_8, all_30_0) = all_97_0
% 74.14/11.36 | | |
% 74.14/11.36 | | | DELTA: instantiating (92) with fresh symbols all_99_0, all_99_1 gives:
% 74.14/11.36 | | | (222) multiplication(all_22_8, all_32_0) = all_99_0 &
% 74.14/11.36 | | | multiplication(all_22_8, one) = all_99_1 & addition(all_99_1,
% 74.14/11.36 | | | all_99_0) = all_22_1 & $i(all_99_0) & $i(all_99_1) &
% 74.14/11.36 | | | $i(all_22_1)
% 74.14/11.36 | | |
% 74.14/11.36 | | | ALPHA: (222) implies:
% 74.14/11.36 | | | (223) $i(all_99_1)
% 74.14/11.36 | | | (224) $i(all_99_0)
% 74.14/11.36 | | | (225) addition(all_99_1, all_99_0) = all_22_1
% 74.14/11.36 | | | (226) multiplication(all_22_8, one) = all_99_1
% 74.14/11.36 | | | (227) multiplication(all_22_8, all_32_0) = all_99_0
% 74.14/11.36 | | |
% 74.14/11.36 | | | DELTA: instantiating (99) with fresh symbols all_101_0, all_101_1 gives:
% 74.14/11.36 | | | (228) multiplication(all_36_0, all_22_8) = all_101_0 &
% 74.14/11.36 | | | multiplication(one, all_22_8) = all_101_1 & addition(all_101_1,
% 74.14/11.36 | | | all_101_0) = all_22_3 & $i(all_101_0) & $i(all_101_1) &
% 74.14/11.36 | | | $i(all_22_3)
% 74.14/11.36 | | |
% 74.14/11.36 | | | ALPHA: (228) implies:
% 74.14/11.36 | | | (229) $i(all_101_1)
% 74.14/11.36 | | | (230) $i(all_101_0)
% 74.14/11.36 | | | (231) addition(all_101_1, all_101_0) = all_22_3
% 74.14/11.36 | | | (232) multiplication(one, all_22_8) = all_101_1
% 74.14/11.36 | | | (233) multiplication(all_36_0, all_22_8) = all_101_0
% 74.14/11.36 | | |
% 74.14/11.36 | | | BETA: splitting (129) gives:
% 74.14/11.36 | | |
% 74.14/11.36 | | | Case 1:
% 74.14/11.36 | | | |
% 74.14/11.36 | | | | (234) all_51_0 = 0
% 74.14/11.36 | | | |
% 74.14/11.36 | | | | REDUCE: (84), (234) imply:
% 74.14/11.36 | | | | (235) $false
% 74.14/11.36 | | | |
% 74.14/11.36 | | | | CLOSE: (235) is inconsistent.
% 74.14/11.36 | | | |
% 74.14/11.36 | | | Case 2:
% 74.14/11.36 | | | |
% 74.14/11.36 | | | | (236) ? [v0: any] : ( ~ (v0 = all_22_1) & addition(all_51_1,
% 74.14/11.36 | | | | all_22_1) = v0 & $i(v0))
% 74.14/11.36 | | | |
% 74.14/11.36 | | | | DELTA: instantiating (236) with fresh symbol all_115_0 gives:
% 74.14/11.36 | | | | (237) ~ (all_115_0 = all_22_1) & addition(all_51_1, all_22_1) =
% 74.14/11.36 | | | | all_115_0 & $i(all_115_0)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | ALPHA: (237) implies:
% 74.14/11.37 | | | | (238) ~ (all_115_0 = all_22_1)
% 74.14/11.37 | | | | (239) addition(all_51_1, all_22_1) = all_115_0
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_75_1, all_87_1, all_22_9, one,
% 74.14/11.37 | | | | simplifying with (163), (192) gives:
% 74.14/11.37 | | | | (240) all_87_1 = all_75_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_95_1, all_101_1, all_22_8, one,
% 74.14/11.37 | | | | simplifying with (215), (232) gives:
% 74.14/11.37 | | | | (241) all_101_1 = all_95_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_83_1, all_91_1, all_22_7, one,
% 74.14/11.37 | | | | simplifying with (182), (204) gives:
% 74.14/11.37 | | | | (242) all_91_1 = all_83_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_77_1, all_93_1, one, all_22_9,
% 74.14/11.37 | | | | simplifying with (168), (210) gives:
% 74.14/11.37 | | | | (243) all_93_1 = all_77_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_22_6, all_73_0, all_22_8,
% 74.14/11.37 | | | | all_22_9, simplifying with (32), (158) gives:
% 74.14/11.37 | | | | (244) all_73_0 = all_22_6
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_97_1, all_99_1, one, all_22_8,
% 74.14/11.37 | | | | simplifying with (220), (226) gives:
% 74.14/11.37 | | | | (245) all_99_1 = all_97_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (22) with all_79_1, all_89_1, one, all_22_7,
% 74.14/11.37 | | | | simplifying with (173), (198) gives:
% 74.14/11.37 | | | | (246) all_89_1 = all_79_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (159), (244) imply:
% 74.14/11.37 | | | | (247) multiplication(all_22_6, all_22_2) = all_51_2
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (231), (241) imply:
% 74.14/11.37 | | | | (248) addition(all_95_1, all_101_0) = all_22_3
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (225), (245) imply:
% 74.14/11.37 | | | | (249) addition(all_97_1, all_99_0) = all_22_1
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (209), (243) imply:
% 74.14/11.37 | | | | (250) addition(all_77_1, all_93_0) = all_34_0
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (203), (242) imply:
% 74.14/11.37 | | | | (251) addition(all_83_1, all_91_0) = all_32_0
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (197), (246) imply:
% 74.14/11.37 | | | | (252) addition(all_79_1, all_89_0) = all_30_0
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (191), (240) imply:
% 74.14/11.37 | | | | (253) addition(all_75_1, all_87_0) = all_36_0
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (229), (241) imply:
% 74.14/11.37 | | | | (254) $i(all_95_1)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (223), (245) imply:
% 74.14/11.37 | | | | (255) $i(all_97_1)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (207), (243) imply:
% 74.14/11.37 | | | | (256) $i(all_77_1)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (201), (242) imply:
% 74.14/11.37 | | | | (257) $i(all_83_1)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (195), (246) imply:
% 74.14/11.37 | | | | (258) $i(all_79_1)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | REDUCE: (189), (240) imply:
% 74.14/11.37 | | | | (259) $i(all_75_1)
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (11) with all_22_9, all_22_9, all_22_8,
% 74.14/11.37 | | | | all_22_6, all_22_6, all_59_0, simplifying with (25), (26),
% 74.14/11.37 | | | | (32), (134) gives:
% 74.14/11.37 | | | | (260) ? [v0: $i] : (multiplication(v0, all_22_8) = all_59_0 &
% 74.14/11.37 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_59_0))
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (9) with all_22_9, all_22_8, all_22_8,
% 74.14/11.37 | | | | all_22_6, all_22_6, all_59_0, simplifying with (25), (26),
% 74.14/11.37 | | | | (32), (134) gives:
% 74.14/11.37 | | | | (261) ? [v0: $i] : (multiplication(all_22_9, v0) = all_59_0 &
% 74.14/11.37 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_59_0))
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (idempotence) with all_22_6, all_59_0,
% 74.14/11.37 | | | | simplifying with (28), (134) gives:
% 74.14/11.37 | | | | (262) all_59_0 = all_22_6
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (3) with all_22_6, all_22_6, all_22_5,
% 74.14/11.37 | | | | all_22_5, all_22_5, simplifying with (28), (29), (104)
% 74.14/11.37 | | | | gives:
% 74.14/11.37 | | | | (263) ? [v0: $i] : (addition(all_22_5, v0) = all_22_5 &
% 74.14/11.37 | | | | addition(all_22_6, all_22_6) = v0 & $i(v0))
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (10) with all_30_0, one, all_22_7, all_22_2,
% 74.14/11.37 | | | | all_32_0, simplifying with (15), (27), (50), (56), (91)
% 74.14/11.37 | | | | gives:
% 74.14/11.37 | | | | (264) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_7)
% 74.14/11.37 | | | | = v0 & multiplication(one, all_22_7) = v1 & addition(v0, v1)
% 74.14/11.37 | | | | = all_32_0 & $i(v1) & $i(v0) & $i(all_32_0))
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (8) with all_22_7, all_30_0, one, all_22_2,
% 74.14/11.37 | | | | all_30_0, simplifying with (15), (27), (50), (52), (91)
% 74.14/11.37 | | | | gives:
% 74.14/11.37 | | | | (265) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_30_0)
% 74.14/11.37 | | | | = v0 & multiplication(all_22_7, one) = v1 & addition(v0, v1)
% 74.14/11.37 | | | | = all_30_0 & $i(v1) & $i(v0))
% 74.14/11.37 | | | |
% 74.14/11.37 | | | | GROUND_INST: instantiating (8) with all_22_8, all_30_0, one, all_22_2,
% 74.14/11.37 | | | | all_22_1, simplifying with (15), (26), (34), (50), (91)
% 74.14/11.37 | | | | gives:
% 74.14/11.38 | | | | (266) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_30_0)
% 74.14/11.38 | | | | = v0 & multiplication(all_22_8, one) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_22_1 & $i(v1) & $i(v0) & $i(all_22_1))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (1) with all_40_0, all_30_0, all_61_0,
% 74.14/11.38 | | | | simplifying with (50), (71), (138) gives:
% 74.14/11.38 | | | | (267) addition(all_40_0, all_30_0) = all_61_0 & $i(all_61_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | ALPHA: (267) implies:
% 74.14/11.38 | | | | (268) $i(all_61_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (10) with all_32_0, one, all_22_7, all_22_2,
% 74.14/11.38 | | | | all_32_0, simplifying with (15), (27), (54), (56), (95)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (269) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_7)
% 74.14/11.38 | | | | = v0 & multiplication(one, all_22_7) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_32_0 & $i(v1) & $i(v0))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (8) with all_22_7, all_32_0, one, all_22_2,
% 74.14/11.38 | | | | all_30_0, simplifying with (15), (27), (52), (54), (95)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (270) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_32_0)
% 74.14/11.38 | | | | = v0 & multiplication(all_22_7, one) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_30_0 & $i(v1) & $i(v0) & $i(all_30_0))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (8) with all_22_8, all_32_0, one, all_22_2,
% 74.14/11.38 | | | | all_22_1, simplifying with (15), (26), (34), (54), (95)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (271) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_32_0)
% 74.14/11.38 | | | | = v0 & multiplication(all_22_8, one) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_22_1 & $i(v1) & $i(v0) & $i(all_22_1))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (1) with all_40_0, all_32_0, all_63_0,
% 74.14/11.38 | | | | simplifying with (54), (71), (141) gives:
% 74.14/11.38 | | | | (272) addition(all_40_0, all_32_0) = all_63_0 & $i(all_63_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | ALPHA: (272) implies:
% 74.14/11.38 | | | | (273) $i(all_63_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (10) with all_34_0, one, all_22_8, all_22_4,
% 74.14/11.38 | | | | all_22_3, simplifying with (15), (26), (35), (58), (98)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (274) ? [v0: $i] : ? [v1: $i] : (multiplication(all_34_0, all_22_8)
% 74.14/11.38 | | | | = v0 & multiplication(one, all_22_8) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_22_3 & $i(v1) & $i(v0) & $i(all_22_3))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (10) with all_34_0, one, all_22_9, all_22_4,
% 74.14/11.38 | | | | all_36_0, simplifying with (15), (25), (58), (64), (98)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (275) ? [v0: $i] : ? [v1: $i] : (multiplication(all_34_0, all_22_9)
% 74.14/11.38 | | | | = v0 & multiplication(one, all_22_9) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_36_0 & $i(v1) & $i(v0) & $i(all_36_0))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (8) with all_22_9, all_34_0, one, all_22_4,
% 74.14/11.38 | | | | all_34_0, simplifying with (15), (25), (58), (60), (98)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (276) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_34_0)
% 74.14/11.38 | | | | = v0 & multiplication(all_22_9, one) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_34_0 & $i(v1) & $i(v0))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (1) with all_38_0, all_34_0, all_67_0,
% 74.14/11.38 | | | | simplifying with (58), (66), (147) gives:
% 74.14/11.38 | | | | (277) addition(all_38_0, all_34_0) = all_67_0 & $i(all_67_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | ALPHA: (277) implies:
% 74.14/11.38 | | | | (278) $i(all_67_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (10) with all_36_0, one, all_22_8, all_22_4,
% 74.14/11.38 | | | | all_22_3, simplifying with (15), (26), (35), (62), (102)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (279) ? [v0: $i] : ? [v1: $i] : (multiplication(all_36_0, all_22_8)
% 74.14/11.38 | | | | = v0 & multiplication(one, all_22_8) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_22_3 & $i(v1) & $i(v0) & $i(all_22_3))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (10) with all_36_0, one, all_22_9, all_22_4,
% 74.14/11.38 | | | | all_36_0, simplifying with (15), (25), (62), (64), (102)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (280) ? [v0: $i] : ? [v1: $i] : (multiplication(all_36_0, all_22_9)
% 74.14/11.38 | | | | = v0 & multiplication(one, all_22_9) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_36_0 & $i(v1) & $i(v0))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (8) with all_22_9, all_36_0, one, all_22_4,
% 74.14/11.38 | | | | all_34_0, simplifying with (15), (25), (60), (62), (102)
% 74.14/11.38 | | | | gives:
% 74.14/11.38 | | | | (281) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_36_0)
% 74.14/11.38 | | | | = v0 & multiplication(all_22_9, one) = v1 & addition(v0, v1)
% 74.14/11.38 | | | | = all_34_0 & $i(v1) & $i(v0) & $i(all_34_0))
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (1) with all_38_0, all_36_0, all_65_0,
% 74.14/11.38 | | | | simplifying with (62), (66), (144) gives:
% 74.14/11.38 | | | | (282) addition(all_38_0, all_36_0) = all_65_0 & $i(all_65_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | ALPHA: (282) implies:
% 74.14/11.38 | | | | (283) $i(all_65_0)
% 74.14/11.38 | | | |
% 74.14/11.38 | | | | GROUND_INST: instantiating (3) with all_22_1, all_22_8, all_51_2,
% 74.14/11.38 | | | | all_51_1, all_115_0, simplifying with (26), (31), (85),
% 74.14/11.38 | | | | (86), (239) gives:
% 74.14/11.39 | | | | (284) ? [v0: $i] : (addition(all_51_2, v0) = all_115_0 &
% 74.14/11.39 | | | | addition(all_22_8, all_22_1) = v0 & $i(v0) & $i(all_115_0))
% 74.14/11.39 | | | |
% 74.14/11.39 | | | | GROUND_INST: instantiating (3) with all_22_1, all_51_2, all_22_8,
% 74.14/11.39 | | | | all_51_1, all_115_0, simplifying with (26), (31), (85),
% 74.14/11.39 | | | | (117), (239) gives:
% 74.14/11.39 | | | | (285) ? [v0: $i] : (addition(all_51_2, all_22_1) = v0 &
% 74.14/11.39 | | | | addition(all_22_8, v0) = all_115_0 & $i(v0) & $i(all_115_0))
% 74.14/11.39 | | | |
% 74.14/11.39 | | | | GROUND_INST: instantiating (2) with all_22_5, all_22_6, all_59_0,
% 74.14/11.39 | | | | all_22_5, all_22_5, simplifying with (28), (29), (46),
% 74.14/11.39 | | | | (133), (135) gives:
% 74.14/11.39 | | | | (286) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 &
% 74.14/11.39 | | | | addition(all_59_0, all_22_6) = v0 & $i(v0))
% 74.14/11.39 | | | |
% 74.14/11.39 | | | | GROUND_INST: instantiating (2) with all_22_5, all_59_0, all_22_6,
% 74.14/11.39 | | | | all_22_5, all_22_5, simplifying with (28), (29), (46),
% 74.14/11.39 | | | | (133), (135) gives:
% 74.14/11.39 | | | | (287) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 &
% 74.14/11.39 | | | | addition(all_22_6, all_59_0) = v0 & $i(v0))
% 74.14/11.39 | | | |
% 74.14/11.39 | | | | GROUND_INST: instantiating (2) with all_22_5, all_59_0, all_59_0,
% 74.14/11.39 | | | | all_22_5, all_22_5, simplifying with (29), (133), (135)
% 74.14/11.39 | | | | gives:
% 74.14/11.39 | | | | (288) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 &
% 74.14/11.39 | | | | addition(all_59_0, all_59_0) = v0 & $i(v0))
% 74.14/11.39 | | | |
% 74.14/11.39 | | | | GROUND_INST: instantiating (2) with all_79_0, all_79_1, one, all_30_0,
% 74.14/11.39 | | | | all_22_2, simplifying with (15), (51), (171), (172), (258)
% 74.14/11.39 | | | | gives:
% 74.40/11.39 | | | | (289) ? [v0: $i] : (addition(v0, all_79_0) = all_22_2 &
% 74.40/11.39 | | | | addition(one, all_79_1) = v0 & $i(v0) & $i(all_22_2))
% 74.40/11.39 | | | |
% 74.40/11.39 | | | | GROUND_INST: instantiating (3) with one, all_79_0, all_79_1, all_30_0,
% 74.40/11.39 | | | | all_22_2, simplifying with (15), (91), (171), (172), (258)
% 74.40/11.39 | | | | gives:
% 74.40/11.39 | | | | (290) ? [v0: $i] : (addition(all_79_0, one) = v0 &
% 74.40/11.39 | | | | addition(all_79_1, v0) = all_22_2 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_89_0, all_79_1, one, all_30_0,
% 74.40/11.40 | | | | all_22_2, simplifying with (15), (51), (196), (252), (258)
% 74.40/11.40 | | | | gives:
% 74.40/11.40 | | | | (291) ? [v0: $i] : (addition(v0, all_89_0) = all_22_2 &
% 74.40/11.40 | | | | addition(one, all_79_1) = v0 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (3) with one, all_89_0, all_79_1, all_30_0,
% 74.40/11.40 | | | | all_22_2, simplifying with (15), (91), (196), (252), (258)
% 74.40/11.40 | | | | gives:
% 74.40/11.40 | | | | (292) ? [v0: $i] : (addition(all_89_0, one) = v0 &
% 74.40/11.40 | | | | addition(all_79_1, v0) = all_22_2 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (1) with all_81_0, all_81_1, all_40_0,
% 74.40/11.40 | | | | simplifying with (176), (177), (178) gives:
% 74.40/11.40 | | | | (293) addition(all_81_0, all_81_1) = all_40_0 & $i(all_40_0)
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_83_0, all_83_1, one, all_32_0,
% 74.40/11.40 | | | | all_22_2, simplifying with (15), (55), (180), (181), (257)
% 74.40/11.40 | | | | gives:
% 74.40/11.40 | | | | (294) ? [v0: $i] : (addition(v0, all_83_0) = all_22_2 &
% 74.40/11.40 | | | | addition(one, all_83_1) = v0 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (3) with one, all_83_0, all_83_1, all_32_0,
% 74.40/11.40 | | | | all_22_2, simplifying with (15), (95), (180), (181), (257)
% 74.40/11.40 | | | | gives:
% 74.40/11.40 | | | | (295) ? [v0: $i] : (addition(all_83_0, one) = v0 &
% 74.40/11.40 | | | | addition(all_83_1, v0) = all_22_2 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_91_0, all_83_1, one, all_32_0,
% 74.40/11.40 | | | | all_22_2, simplifying with (15), (55), (202), (251), (257)
% 74.40/11.40 | | | | gives:
% 74.40/11.40 | | | | (296) ? [v0: $i] : (addition(v0, all_91_0) = all_22_2 &
% 74.40/11.40 | | | | addition(one, all_83_1) = v0 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (3) with one, all_91_0, all_83_1, all_32_0,
% 74.40/11.40 | | | | all_22_2, simplifying with (15), (95), (202), (251), (257)
% 74.40/11.40 | | | | gives:
% 74.40/11.40 | | | | (297) ? [v0: $i] : (addition(all_91_0, one) = v0 &
% 74.40/11.40 | | | | addition(all_83_1, v0) = all_22_2 & $i(v0) & $i(all_22_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (1) with all_85_0, all_85_1, all_38_0,
% 74.40/11.40 | | | | simplifying with (185), (186), (187) gives:
% 74.40/11.40 | | | | (298) addition(all_85_0, all_85_1) = all_38_0 & $i(all_38_0)
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_95_0, all_95_1, all_22_1,
% 74.40/11.40 | | | | all_22_3, all_46_0, simplifying with (31), (110), (213),
% 74.40/11.40 | | | | (214), (254) gives:
% 74.40/11.40 | | | | (299) ? [v0: $i] : (addition(v0, all_95_0) = all_46_0 &
% 74.40/11.40 | | | | addition(all_22_1, all_95_1) = v0 & $i(v0) & $i(all_46_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_101_0, all_95_1, all_22_1,
% 74.40/11.40 | | | | all_22_3, all_46_0, simplifying with (31), (110), (230),
% 74.40/11.40 | | | | (248), (254) gives:
% 74.40/11.40 | | | | (300) ? [v0: $i] : (addition(v0, all_101_0) = all_46_0 &
% 74.40/11.40 | | | | addition(all_22_1, all_95_1) = v0 & $i(v0) & $i(all_46_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (1) with all_101_0, all_95_1, all_22_3,
% 74.40/11.40 | | | | simplifying with (230), (248), (254) gives:
% 74.40/11.40 | | | | (301) addition(all_101_0, all_95_1) = all_22_3 & $i(all_22_3)
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (8) with all_22_9, all_97_1, all_97_0,
% 74.40/11.40 | | | | all_22_1, all_51_2, simplifying with (25), (87), (218),
% 74.40/11.40 | | | | (219), (255) gives:
% 74.40/11.40 | | | | (302) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_97_0)
% 74.40/11.40 | | | | = v1 & multiplication(all_22_9, all_97_1) = v0 & addition(v0,
% 74.40/11.40 | | | | v1) = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_97_0, all_97_1, all_22_3,
% 74.40/11.40 | | | | all_22_1, all_46_0, simplifying with (30), (79), (218),
% 74.40/11.40 | | | | (219), (255) gives:
% 74.40/11.40 | | | | (303) ? [v0: $i] : (addition(v0, all_97_0) = all_46_0 &
% 74.40/11.40 | | | | addition(all_22_3, all_97_1) = v0 & $i(v0) & $i(all_46_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_97_0, all_97_1, all_51_1,
% 74.40/11.40 | | | | all_22_1, all_115_0, simplifying with (116), (218), (219),
% 74.40/11.40 | | | | (239), (255) gives:
% 74.40/11.40 | | | | (304) ? [v0: $i] : (addition(v0, all_97_0) = all_115_0 &
% 74.40/11.40 | | | | addition(all_51_1, all_97_1) = v0 & $i(v0) & $i(all_115_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (3) with all_22_3, all_97_0, all_97_1,
% 74.40/11.40 | | | | all_22_1, all_46_0, simplifying with (30), (110), (218),
% 74.40/11.40 | | | | (219), (255) gives:
% 74.40/11.40 | | | | (305) ? [v0: $i] : (addition(all_97_0, all_22_3) = v0 &
% 74.40/11.40 | | | | addition(all_97_1, v0) = all_46_0 & $i(v0) & $i(all_46_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (8) with all_22_9, all_97_1, all_99_0,
% 74.40/11.40 | | | | all_22_1, all_51_2, simplifying with (25), (87), (224),
% 74.40/11.40 | | | | (249), (255) gives:
% 74.40/11.40 | | | | (306) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_99_0)
% 74.40/11.40 | | | | = v1 & multiplication(all_22_9, all_97_1) = v0 & addition(v0,
% 74.40/11.40 | | | | v1) = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_99_0, all_97_1, all_22_3,
% 74.40/11.40 | | | | all_22_1, all_46_0, simplifying with (30), (79), (224),
% 74.40/11.40 | | | | (249), (255) gives:
% 74.40/11.40 | | | | (307) ? [v0: $i] : (addition(v0, all_99_0) = all_46_0 &
% 74.40/11.40 | | | | addition(all_22_3, all_97_1) = v0 & $i(v0) & $i(all_46_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (2) with all_99_0, all_97_1, all_51_1,
% 74.40/11.40 | | | | all_22_1, all_115_0, simplifying with (116), (224), (239),
% 74.40/11.40 | | | | (249), (255) gives:
% 74.40/11.40 | | | | (308) ? [v0: $i] : (addition(v0, all_99_0) = all_115_0 &
% 74.40/11.40 | | | | addition(all_51_1, all_97_1) = v0 & $i(v0) & $i(all_115_0))
% 74.40/11.40 | | | |
% 74.40/11.40 | | | | GROUND_INST: instantiating (3) with all_22_3, all_99_0, all_97_1,
% 74.40/11.40 | | | | all_22_1, all_46_0, simplifying with (30), (110), (224),
% 74.40/11.40 | | | | (249), (255) gives:
% 74.40/11.41 | | | | (309) ? [v0: $i] : (addition(all_99_0, all_22_3) = v0 &
% 74.40/11.41 | | | | addition(all_97_1, v0) = all_46_0 & $i(v0) & $i(all_46_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (7) with all_22_9, all_75_1, simplifying with
% 74.40/11.41 | | | | (25), (163) gives:
% 74.40/11.41 | | | | (310) all_75_1 = all_22_9
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (7) with all_22_8, all_95_1, simplifying with
% 74.40/11.41 | | | | (26), (215) gives:
% 74.40/11.41 | | | | (311) all_95_1 = all_22_8
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (7) with all_22_7, all_83_1, simplifying with
% 74.40/11.41 | | | | (27), (182) gives:
% 74.40/11.41 | | | | (312) all_83_1 = all_22_7
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (6) with all_22_9, all_77_1, simplifying with
% 74.40/11.41 | | | | (25), (168) gives:
% 74.40/11.41 | | | | (313) all_77_1 = all_22_9
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (4) with all_22_9, all_22_4, all_22_9,
% 74.40/11.41 | | | | all_36_0, all_93_0, simplifying with (25), (64), (101),
% 74.40/11.41 | | | | (211) gives:
% 74.40/11.41 | | | | (314) ? [v0: $i] : (multiplication(v0, all_22_9) = all_93_0 &
% 74.40/11.41 | | | | multiplication(all_22_9, all_22_4) = v0 & $i(v0) &
% 74.40/11.41 | | | | $i(all_93_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_9, all_22_4, all_38_0,
% 74.40/11.41 | | | | all_38_1, all_71_0, simplifying with (25), (66), (67),
% 74.40/11.41 | | | | (101), (155) gives:
% 74.40/11.41 | | | | (315) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_38_0)
% 74.40/11.41 | | | | = v1 & multiplication(all_22_9, all_22_4) = v0 & addition(v0,
% 74.40/11.41 | | | | v1) = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_9, all_71_0, one, all_38_1,
% 74.40/11.41 | | | | all_71_0, simplifying with (15), (25), (153), (154), (155)
% 74.40/11.41 | | | | gives:
% 74.40/11.41 | | | | (316) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_71_0)
% 74.40/11.41 | | | | = v0 & multiplication(all_22_9, one) = v1 & addition(v0, v1)
% 74.40/11.41 | | | | = all_71_0 & $i(v1) & $i(v0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_9, all_38_0, all_22_4,
% 74.40/11.41 | | | | all_38_1, all_71_0, simplifying with (25), (66), (101),
% 74.40/11.41 | | | | (108), (155) gives:
% 74.40/11.41 | | | | (317) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_38_0)
% 74.40/11.41 | | | | = v0 & multiplication(all_22_9, all_22_4) = v1 & addition(v0,
% 74.40/11.41 | | | | v1) = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_9, one, all_67_0, all_38_1,
% 74.40/11.41 | | | | all_71_0, simplifying with (15), (25), (146), (155), (278)
% 74.40/11.41 | | | | gives:
% 74.40/11.41 | | | | (318) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_67_0)
% 74.40/11.41 | | | | = v1 & multiplication(all_22_9, one) = v0 & addition(v0, v1)
% 74.40/11.41 | | | | = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_9, one, all_65_0, all_38_1,
% 74.40/11.41 | | | | all_71_0, simplifying with (15), (25), (143), (155), (283)
% 74.40/11.41 | | | | gives:
% 74.40/11.41 | | | | (319) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_65_0)
% 74.40/11.41 | | | | = v1 & multiplication(all_22_9, one) = v0 & addition(v0, v1)
% 74.40/11.41 | | | | = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (6) with all_22_8, all_97_1, simplifying with
% 74.40/11.41 | | | | (26), (220) gives:
% 74.40/11.41 | | | | (320) all_97_1 = all_22_8
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (4) with all_22_8, all_22_7, all_22_2,
% 74.40/11.41 | | | | all_30_0, all_97_0, simplifying with (26), (27), (52),
% 74.40/11.41 | | | | (94), (221) gives:
% 74.40/11.41 | | | | (321) ? [v0: $i] : (multiplication(v0, all_22_2) = all_97_0 &
% 74.40/11.41 | | | | multiplication(all_22_8, all_22_7) = v0 & $i(v0) &
% 74.40/11.41 | | | | $i(all_97_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_8, all_79_1, all_89_0,
% 74.40/11.41 | | | | all_30_0, all_97_0, simplifying with (26), (196), (221),
% 74.40/11.41 | | | | (252), (258) gives:
% 74.40/11.41 | | | | (322) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_89_0)
% 74.40/11.41 | | | | = v1 & multiplication(all_22_8, all_79_1) = v0 & addition(v0,
% 74.40/11.41 | | | | v1) = all_97_0 & $i(v1) & $i(v0) & $i(all_97_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_8, all_79_1, all_79_0,
% 74.40/11.41 | | | | all_30_0, all_97_0, simplifying with (26), (171), (172),
% 74.40/11.41 | | | | (221), (258) gives:
% 74.40/11.41 | | | | (323) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_79_0)
% 74.40/11.41 | | | | = v1 & multiplication(all_22_8, all_79_1) = v0 & addition(v0,
% 74.40/11.41 | | | | v1) = all_97_0 & $i(v1) & $i(v0) & $i(all_97_0))
% 74.40/11.41 | | | |
% 74.40/11.41 | | | | GROUND_INST: instantiating (8) with all_22_8, all_83_1, all_91_0,
% 74.40/11.41 | | | | all_32_0, all_99_0, simplifying with (26), (202), (227),
% 74.40/11.41 | | | | (251), (257) gives:
% 74.40/11.42 | | | | (324) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_91_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_8, all_83_1) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_99_0 & $i(v1) & $i(v0) & $i(all_99_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_8, all_83_1, all_83_0,
% 74.40/11.42 | | | | all_32_0, all_99_0, simplifying with (26), (180), (181),
% 74.40/11.42 | | | | (227), (257) gives:
% 74.40/11.42 | | | | (325) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_83_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_8, all_83_1) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_99_0 & $i(v1) & $i(v0) & $i(all_99_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (6) with all_22_7, all_79_1, simplifying with
% 74.40/11.42 | | | | (27), (173) gives:
% 74.40/11.42 | | | | (326) all_79_1 = all_22_7
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (4) with all_22_7, all_22_7, all_22_2,
% 74.40/11.42 | | | | all_30_0, all_79_0, simplifying with (27), (52), (94),
% 74.40/11.42 | | | | (174) gives:
% 74.40/11.42 | | | | (327) ? [v0: $i] : (multiplication(v0, all_22_2) = all_79_0 &
% 74.40/11.42 | | | | multiplication(all_22_7, all_22_7) = v0 & $i(v0) &
% 74.40/11.42 | | | | $i(all_79_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_79_1, all_89_0,
% 74.40/11.42 | | | | all_30_0, all_79_0, simplifying with (27), (174), (196),
% 74.40/11.42 | | | | (252), (258) gives:
% 74.40/11.42 | | | | (328) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_89_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, all_79_1) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_79_0 & $i(v1) & $i(v0) & $i(all_79_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_79_1, all_79_0,
% 74.40/11.42 | | | | all_30_0, all_79_0, simplifying with (27), (171), (172),
% 74.40/11.42 | | | | (174), (258) gives:
% 74.40/11.42 | | | | (329) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_79_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, all_79_1) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_79_0 & $i(v1) & $i(v0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (4) with all_22_7, all_22_2, all_22_7,
% 74.40/11.42 | | | | all_32_0, all_89_0, simplifying with (27), (56), (94),
% 74.40/11.42 | | | | (199) gives:
% 74.40/11.42 | | | | (330) ? [v0: $i] : (multiplication(v0, all_22_7) = all_89_0 &
% 74.40/11.42 | | | | multiplication(all_22_7, all_22_2) = v0 & $i(v0) &
% 74.40/11.42 | | | | $i(all_89_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_83_1, all_91_0,
% 74.40/11.42 | | | | all_32_0, all_89_0, simplifying with (27), (199), (202),
% 74.40/11.42 | | | | (251), (257) gives:
% 74.40/11.42 | | | | (331) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_91_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, all_83_1) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_89_0 & $i(v1) & $i(v0) & $i(all_89_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_83_1, all_83_0,
% 74.40/11.42 | | | | all_32_0, all_89_0, simplifying with (27), (180), (181),
% 74.40/11.42 | | | | (199), (257) gives:
% 74.40/11.42 | | | | (332) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_83_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, all_83_1) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_89_0 & $i(v1) & $i(v0) & $i(all_89_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_22_2, all_40_0,
% 74.40/11.42 | | | | all_40_1, all_69_0, simplifying with (27), (71), (72),
% 74.40/11.42 | | | | (94), (151) gives:
% 74.40/11.42 | | | | (333) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_40_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, all_22_2) = v0 & addition(v0,
% 74.40/11.42 | | | | v1) = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_69_0, one, all_40_1,
% 74.40/11.42 | | | | all_69_0, simplifying with (15), (27), (149), (150), (151)
% 74.40/11.42 | | | | gives:
% 74.40/11.42 | | | | (334) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_69_0)
% 74.40/11.42 | | | | = v0 & multiplication(all_22_7, one) = v1 & addition(v0, v1)
% 74.40/11.42 | | | | = all_69_0 & $i(v1) & $i(v0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, all_40_0, all_22_2,
% 74.40/11.42 | | | | all_40_1, all_69_0, simplifying with (27), (71), (94),
% 74.40/11.42 | | | | (114), (151) gives:
% 74.40/11.42 | | | | (335) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_40_0)
% 74.40/11.42 | | | | = v0 & multiplication(all_22_7, all_22_2) = v1 & addition(v0,
% 74.40/11.42 | | | | v1) = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, one, all_63_0, all_40_1,
% 74.40/11.42 | | | | all_69_0, simplifying with (15), (27), (140), (151), (273)
% 74.40/11.42 | | | | gives:
% 74.40/11.42 | | | | (336) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_63_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1)
% 74.40/11.42 | | | | = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (8) with all_22_7, one, all_61_0, all_40_1,
% 74.40/11.42 | | | | all_69_0, simplifying with (15), (27), (137), (151), (268)
% 74.40/11.42 | | | | gives:
% 74.40/11.42 | | | | (337) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_61_0)
% 74.40/11.42 | | | | = v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1)
% 74.40/11.42 | | | | = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0))
% 74.40/11.42 | | | |
% 74.40/11.42 | | | | GROUND_INST: instantiating (5) with all_22_7, all_22_2, all_22_7,
% 74.40/11.42 | | | | all_30_0, all_91_0, simplifying with (27), (52), (94),
% 74.40/11.42 | | | | (205) gives:
% 74.40/11.42 | | | | (338) ? [v0: $i] : (multiplication(all_22_2, all_22_7) = v0 &
% 74.40/11.42 | | | | multiplication(all_22_7, v0) = all_91_0 & $i(v0) &
% 74.40/11.42 | | | | $i(all_91_0))
% 74.40/11.42 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_79_1, all_89_0, all_22_7,
% 74.40/11.43 | | | | all_30_0, all_91_0, simplifying with (27), (196), (205),
% 74.40/11.43 | | | | (252), (258) gives:
% 74.40/11.43 | | | | (339) ? [v0: $i] : ? [v1: $i] : (multiplication(all_89_0, all_22_7)
% 74.40/11.43 | | | | = v1 & multiplication(all_79_1, all_22_7) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_91_0 & $i(v1) & $i(v0) & $i(all_91_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_79_1, all_79_0, all_22_7,
% 74.40/11.43 | | | | all_30_0, all_91_0, simplifying with (27), (171), (172),
% 74.40/11.43 | | | | (205), (258) gives:
% 74.40/11.43 | | | | (340) ? [v0: $i] : ? [v1: $i] : (multiplication(all_79_0, all_22_7)
% 74.40/11.43 | | | | = v1 & multiplication(all_79_1, all_22_7) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_91_0 & $i(v1) & $i(v0) & $i(all_91_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (5) with all_22_2, all_22_7, all_22_7,
% 74.40/11.43 | | | | all_32_0, all_83_0, simplifying with (27), (56), (94),
% 74.40/11.43 | | | | (183) gives:
% 74.40/11.43 | | | | (341) ? [v0: $i] : (multiplication(all_22_2, v0) = all_83_0 &
% 74.40/11.43 | | | | multiplication(all_22_7, all_22_7) = v0 & $i(v0) &
% 74.40/11.43 | | | | $i(all_83_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_83_1, all_91_0, all_22_7,
% 74.40/11.43 | | | | all_32_0, all_83_0, simplifying with (27), (183), (202),
% 74.40/11.43 | | | | (251), (257) gives:
% 74.40/11.43 | | | | (342) ? [v0: $i] : ? [v1: $i] : (multiplication(all_91_0, all_22_7)
% 74.40/11.43 | | | | = v1 & multiplication(all_83_1, all_22_7) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_83_0 & $i(v1) & $i(v0) & $i(all_83_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_83_1, all_83_0, all_22_7,
% 74.40/11.43 | | | | all_32_0, all_83_0, simplifying with (27), (180), (181),
% 74.40/11.43 | | | | (183), (257) gives:
% 74.40/11.43 | | | | (343) ? [v0: $i] : ? [v1: $i] : (multiplication(all_83_0, all_22_7)
% 74.40/11.43 | | | | = v1 & multiplication(all_83_1, all_22_7) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_83_0 & $i(v1) & $i(v0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_77_1, all_93_0, all_22_8,
% 74.40/11.43 | | | | all_34_0, all_95_0, simplifying with (26), (208), (216),
% 74.40/11.43 | | | | (250), (256) gives:
% 74.40/11.43 | | | | (344) ? [v0: $i] : ? [v1: $i] : (multiplication(all_93_0, all_22_8)
% 74.40/11.43 | | | | = v1 & multiplication(all_77_1, all_22_8) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_95_0 & $i(v1) & $i(v0) & $i(all_95_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_77_1, all_77_0, all_22_8,
% 74.40/11.43 | | | | all_34_0, all_95_0, simplifying with (26), (166), (167),
% 74.40/11.43 | | | | (216), (256) gives:
% 74.40/11.43 | | | | (345) ? [v0: $i] : ? [v1: $i] : (multiplication(all_77_0, all_22_8)
% 74.40/11.43 | | | | = v1 & multiplication(all_77_1, all_22_8) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_95_0 & $i(v1) & $i(v0) & $i(all_95_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (5) with all_22_4, all_22_9, all_22_8,
% 74.40/11.43 | | | | all_36_0, all_101_0, simplifying with (25), (26), (64),
% 74.40/11.43 | | | | (101), (233) gives:
% 74.40/11.43 | | | | (346) ? [v0: $i] : (multiplication(all_22_4, v0) = all_101_0 &
% 74.40/11.43 | | | | multiplication(all_22_9, all_22_8) = v0 & $i(v0) &
% 74.40/11.43 | | | | $i(all_101_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_75_1, all_87_0, all_22_8,
% 74.40/11.43 | | | | all_36_0, all_101_0, simplifying with (26), (190), (233),
% 74.40/11.43 | | | | (253), (259) gives:
% 74.40/11.43 | | | | (347) ? [v0: $i] : ? [v1: $i] : (multiplication(all_87_0, all_22_8)
% 74.40/11.43 | | | | = v1 & multiplication(all_75_1, all_22_8) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_101_0 & $i(v1) & $i(v0) & $i(all_101_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | GROUND_INST: instantiating (10) with all_75_1, all_75_0, all_22_8,
% 74.40/11.43 | | | | all_36_0, all_101_0, simplifying with (26), (161), (162),
% 74.40/11.43 | | | | (233), (259) gives:
% 74.40/11.43 | | | | (348) ? [v0: $i] : ? [v1: $i] : (multiplication(all_75_0, all_22_8)
% 74.40/11.43 | | | | = v1 & multiplication(all_75_1, all_22_8) = v0 & addition(v0,
% 74.40/11.43 | | | | v1) = all_101_0 & $i(v1) & $i(v0) & $i(all_101_0))
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (263) with fresh symbol all_127_0 gives:
% 74.40/11.43 | | | | (349) addition(all_22_5, all_127_0) = all_22_5 & addition(all_22_6,
% 74.40/11.43 | | | | all_22_6) = all_127_0 & $i(all_127_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (349) implies:
% 74.40/11.43 | | | | (350) $i(all_127_0)
% 74.40/11.43 | | | | (351) addition(all_22_6, all_22_6) = all_127_0
% 74.40/11.43 | | | | (352) addition(all_22_5, all_127_0) = all_22_5
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (288) with fresh symbol all_129_0 gives:
% 74.40/11.43 | | | | (353) addition(all_129_0, all_22_5) = all_22_5 & addition(all_59_0,
% 74.40/11.43 | | | | all_59_0) = all_129_0 & $i(all_129_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (353) implies:
% 74.40/11.43 | | | | (354) addition(all_59_0, all_59_0) = all_129_0
% 74.40/11.43 | | | | (355) addition(all_129_0, all_22_5) = all_22_5
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (287) with fresh symbol all_131_0 gives:
% 74.40/11.43 | | | | (356) addition(all_131_0, all_22_5) = all_22_5 & addition(all_22_6,
% 74.40/11.43 | | | | all_59_0) = all_131_0 & $i(all_131_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (356) implies:
% 74.40/11.43 | | | | (357) addition(all_22_6, all_59_0) = all_131_0
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (286) with fresh symbol all_133_0 gives:
% 74.40/11.43 | | | | (358) addition(all_133_0, all_22_5) = all_22_5 & addition(all_59_0,
% 74.40/11.43 | | | | all_22_6) = all_133_0 & $i(all_133_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (358) implies:
% 74.40/11.43 | | | | (359) addition(all_59_0, all_22_6) = all_133_0
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (346) with fresh symbol all_139_0 gives:
% 74.40/11.43 | | | | (360) multiplication(all_22_4, all_139_0) = all_101_0 &
% 74.40/11.43 | | | | multiplication(all_22_9, all_22_8) = all_139_0 & $i(all_139_0)
% 74.40/11.43 | | | | & $i(all_101_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (360) implies:
% 74.40/11.43 | | | | (361) multiplication(all_22_9, all_22_8) = all_139_0
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (304) with fresh symbol all_141_0 gives:
% 74.40/11.43 | | | | (362) addition(all_141_0, all_97_0) = all_115_0 & addition(all_51_1,
% 74.40/11.43 | | | | all_97_1) = all_141_0 & $i(all_141_0) & $i(all_115_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (362) implies:
% 74.40/11.43 | | | | (363) addition(all_51_1, all_97_1) = all_141_0
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (299) with fresh symbol all_143_0 gives:
% 74.40/11.43 | | | | (364) addition(all_143_0, all_95_0) = all_46_0 & addition(all_22_1,
% 74.40/11.43 | | | | all_95_1) = all_143_0 & $i(all_143_0) & $i(all_46_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (364) implies:
% 74.40/11.43 | | | | (365) addition(all_22_1, all_95_1) = all_143_0
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (341) with fresh symbol all_147_0 gives:
% 74.40/11.43 | | | | (366) multiplication(all_22_2, all_147_0) = all_83_0 &
% 74.40/11.43 | | | | multiplication(all_22_7, all_22_7) = all_147_0 & $i(all_147_0)
% 74.40/11.43 | | | | & $i(all_83_0)
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | ALPHA: (366) implies:
% 74.40/11.43 | | | | (367) multiplication(all_22_7, all_22_7) = all_147_0
% 74.40/11.43 | | | |
% 74.40/11.43 | | | | DELTA: instantiating (338) with fresh symbol all_149_0 gives:
% 74.40/11.44 | | | | (368) multiplication(all_22_2, all_22_7) = all_149_0 &
% 74.40/11.44 | | | | multiplication(all_22_7, all_149_0) = all_91_0 & $i(all_149_0)
% 74.40/11.44 | | | | & $i(all_91_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (368) implies:
% 74.40/11.44 | | | | (369) multiplication(all_22_7, all_149_0) = all_91_0
% 74.40/11.44 | | | | (370) multiplication(all_22_2, all_22_7) = all_149_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (303) with fresh symbol all_151_0 gives:
% 74.40/11.44 | | | | (371) addition(all_151_0, all_97_0) = all_46_0 & addition(all_22_3,
% 74.40/11.44 | | | | all_97_1) = all_151_0 & $i(all_151_0) & $i(all_46_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (371) implies:
% 74.40/11.44 | | | | (372) addition(all_22_3, all_97_1) = all_151_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (291) with fresh symbol all_163_0 gives:
% 74.40/11.44 | | | | (373) addition(all_163_0, all_89_0) = all_22_2 & addition(one,
% 74.40/11.44 | | | | all_79_1) = all_163_0 & $i(all_163_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (373) implies:
% 74.40/11.44 | | | | (374) addition(one, all_79_1) = all_163_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (309) with fresh symbol all_169_0 gives:
% 74.40/11.44 | | | | (375) addition(all_99_0, all_22_3) = all_169_0 & addition(all_97_1,
% 74.40/11.44 | | | | all_169_0) = all_46_0 & $i(all_169_0) & $i(all_46_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (375) implies:
% 74.40/11.44 | | | | (376) addition(all_99_0, all_22_3) = all_169_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (308) with fresh symbol all_171_0 gives:
% 74.40/11.44 | | | | (377) addition(all_171_0, all_99_0) = all_115_0 & addition(all_51_1,
% 74.40/11.44 | | | | all_97_1) = all_171_0 & $i(all_171_0) & $i(all_115_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (377) implies:
% 74.40/11.44 | | | | (378) addition(all_51_1, all_97_1) = all_171_0
% 74.40/11.44 | | | | (379) addition(all_171_0, all_99_0) = all_115_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (292) with fresh symbol all_173_0 gives:
% 74.40/11.44 | | | | (380) addition(all_89_0, one) = all_173_0 & addition(all_79_1,
% 74.40/11.44 | | | | all_173_0) = all_22_2 & $i(all_173_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (380) implies:
% 74.40/11.44 | | | | (381) addition(all_89_0, one) = all_173_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (300) with fresh symbol all_175_0 gives:
% 74.40/11.44 | | | | (382) addition(all_175_0, all_101_0) = all_46_0 & addition(all_22_1,
% 74.40/11.44 | | | | all_95_1) = all_175_0 & $i(all_175_0) & $i(all_46_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (382) implies:
% 74.40/11.44 | | | | (383) addition(all_22_1, all_95_1) = all_175_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (296) with fresh symbol all_179_0 gives:
% 74.40/11.44 | | | | (384) addition(all_179_0, all_91_0) = all_22_2 & addition(one,
% 74.40/11.44 | | | | all_83_1) = all_179_0 & $i(all_179_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (384) implies:
% 74.40/11.44 | | | | (385) addition(one, all_83_1) = all_179_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (290) with fresh symbol all_181_0 gives:
% 74.40/11.44 | | | | (386) addition(all_79_0, one) = all_181_0 & addition(all_79_1,
% 74.40/11.44 | | | | all_181_0) = all_22_2 & $i(all_181_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (386) implies:
% 74.40/11.44 | | | | (387) $i(all_181_0)
% 74.40/11.44 | | | | (388) addition(all_79_1, all_181_0) = all_22_2
% 74.40/11.44 | | | | (389) addition(all_79_0, one) = all_181_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (307) with fresh symbol all_185_0 gives:
% 74.40/11.44 | | | | (390) addition(all_185_0, all_99_0) = all_46_0 & addition(all_22_3,
% 74.40/11.44 | | | | all_97_1) = all_185_0 & $i(all_185_0) & $i(all_46_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (390) implies:
% 74.40/11.44 | | | | (391) addition(all_22_3, all_97_1) = all_185_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (305) with fresh symbol all_191_0 gives:
% 74.40/11.44 | | | | (392) addition(all_97_0, all_22_3) = all_191_0 & addition(all_97_1,
% 74.40/11.44 | | | | all_191_0) = all_46_0 & $i(all_191_0) & $i(all_46_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (392) implies:
% 74.40/11.44 | | | | (393) addition(all_97_0, all_22_3) = all_191_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (297) with fresh symbol all_193_0 gives:
% 74.40/11.44 | | | | (394) addition(all_91_0, one) = all_193_0 & addition(all_83_1,
% 74.40/11.44 | | | | all_193_0) = all_22_2 & $i(all_193_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (394) implies:
% 74.40/11.44 | | | | (395) addition(all_91_0, one) = all_193_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (321) with fresh symbol all_197_0 gives:
% 74.40/11.44 | | | | (396) multiplication(all_197_0, all_22_2) = all_97_0 &
% 74.40/11.44 | | | | multiplication(all_22_8, all_22_7) = all_197_0 & $i(all_197_0)
% 74.40/11.44 | | | | & $i(all_97_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (396) implies:
% 74.40/11.44 | | | | (397) $i(all_197_0)
% 74.40/11.44 | | | | (398) multiplication(all_22_8, all_22_7) = all_197_0
% 74.40/11.44 | | | | (399) multiplication(all_197_0, all_22_2) = all_97_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (330) with fresh symbol all_201_0 gives:
% 74.40/11.44 | | | | (400) multiplication(all_201_0, all_22_7) = all_89_0 &
% 74.40/11.44 | | | | multiplication(all_22_7, all_22_2) = all_201_0 & $i(all_201_0)
% 74.40/11.44 | | | | & $i(all_89_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (400) implies:
% 74.40/11.44 | | | | (401) multiplication(all_22_7, all_22_2) = all_201_0
% 74.40/11.44 | | | | (402) multiplication(all_201_0, all_22_7) = all_89_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (295) with fresh symbol all_205_0 gives:
% 74.40/11.44 | | | | (403) addition(all_83_0, one) = all_205_0 & addition(all_83_1,
% 74.40/11.44 | | | | all_205_0) = all_22_2 & $i(all_205_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (403) implies:
% 74.40/11.44 | | | | (404) addition(all_83_0, one) = all_205_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (261) with fresh symbol all_233_0 gives:
% 74.40/11.44 | | | | (405) multiplication(all_22_9, all_233_0) = all_59_0 &
% 74.40/11.44 | | | | addition(all_22_8, all_22_8) = all_233_0 & $i(all_233_0) &
% 74.40/11.44 | | | | $i(all_59_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (405) implies:
% 74.40/11.44 | | | | (406) $i(all_233_0)
% 74.40/11.44 | | | | (407) addition(all_22_8, all_22_8) = all_233_0
% 74.40/11.44 | | | | (408) multiplication(all_22_9, all_233_0) = all_59_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (260) with fresh symbol all_237_0 gives:
% 74.40/11.44 | | | | (409) multiplication(all_237_0, all_22_8) = all_59_0 &
% 74.40/11.44 | | | | addition(all_22_9, all_22_9) = all_237_0 & $i(all_237_0) &
% 74.40/11.44 | | | | $i(all_59_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (409) implies:
% 74.40/11.44 | | | | (410) $i(all_237_0)
% 74.40/11.44 | | | | (411) multiplication(all_237_0, all_22_8) = all_59_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (289) with fresh symbol all_243_0 gives:
% 74.40/11.44 | | | | (412) addition(all_243_0, all_79_0) = all_22_2 & addition(one,
% 74.40/11.44 | | | | all_79_1) = all_243_0 & $i(all_243_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (412) implies:
% 74.40/11.44 | | | | (413) addition(one, all_79_1) = all_243_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (285) with fresh symbol all_245_0 gives:
% 74.40/11.44 | | | | (414) addition(all_51_2, all_22_1) = all_245_0 & addition(all_22_8,
% 74.40/11.44 | | | | all_245_0) = all_115_0 & $i(all_245_0) & $i(all_115_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (414) implies:
% 74.40/11.44 | | | | (415) addition(all_51_2, all_22_1) = all_245_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (284) with fresh symbol all_251_0 gives:
% 74.40/11.44 | | | | (416) addition(all_51_2, all_251_0) = all_115_0 & addition(all_22_8,
% 74.40/11.44 | | | | all_22_1) = all_251_0 & $i(all_251_0) & $i(all_115_0)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (416) implies:
% 74.40/11.44 | | | | (417) addition(all_22_8, all_22_1) = all_251_0
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | DELTA: instantiating (294) with fresh symbol all_259_0 gives:
% 74.40/11.44 | | | | (418) addition(all_259_0, all_83_0) = all_22_2 & addition(one,
% 74.40/11.44 | | | | all_83_1) = all_259_0 & $i(all_259_0) & $i(all_22_2)
% 74.40/11.44 | | | |
% 74.40/11.44 | | | | ALPHA: (418) implies:
% 74.40/11.45 | | | | (419) addition(one, all_83_1) = all_259_0
% 74.40/11.45 | | | | (420) addition(all_259_0, all_83_0) = all_22_2
% 74.40/11.45 | | | |
% 74.40/11.45 | | | | DELTA: instantiating (327) with fresh symbol all_261_0 gives:
% 74.40/11.45 | | | | (421) multiplication(all_261_0, all_22_2) = all_79_0 &
% 74.40/11.45 | | | | multiplication(all_22_7, all_22_7) = all_261_0 & $i(all_261_0)
% 74.40/11.45 | | | | & $i(all_79_0)
% 74.40/11.45 | | | |
% 74.40/11.45 | | | | ALPHA: (421) implies:
% 74.40/11.45 | | | | (422) $i(all_261_0)
% 74.40/11.45 | | | | (423) multiplication(all_22_7, all_22_7) = all_261_0
% 74.40/11.45 | | | |
% 74.40/11.45 | | | | DELTA: instantiating (314) with fresh symbol all_271_0 gives:
% 74.40/11.45 | | | | (424) multiplication(all_271_0, all_22_9) = all_93_0 &
% 74.40/11.45 | | | | multiplication(all_22_9, all_22_4) = all_271_0 & $i(all_271_0)
% 74.40/11.45 | | | | & $i(all_93_0)
% 74.40/11.45 | | | |
% 74.40/11.45 | | | | ALPHA: (424) implies:
% 74.40/11.45 | | | | (425) multiplication(all_22_9, all_22_4) = all_271_0
% 74.40/11.45 | | | | (426) multiplication(all_271_0, all_22_9) = all_93_0
% 74.40/11.45 | | | |
% 74.40/11.45 | | | | DELTA: instantiating (276) with fresh symbols all_279_0, all_279_1
% 74.40/11.45 | | | | gives:
% 74.40/11.45 | | | | (427) multiplication(all_22_9, all_34_0) = all_279_1 &
% 74.40/11.45 | | | | multiplication(all_22_9, one) = all_279_0 & addition(all_279_1,
% 74.40/11.45 | | | | all_279_0) = all_34_0 & $i(all_279_0) & $i(all_279_1)
% 74.40/11.45 | | | |
% 74.40/11.45 | | | | ALPHA: (427) implies:
% 74.40/11.45 | | | | (428) $i(all_279_0)
% 74.40/11.45 | | | | (429) multiplication(all_22_9, one) = all_279_0
% 74.40/11.46 | | | | (430) multiplication(all_22_9, all_34_0) = all_279_1
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | DELTA: instantiating (265) with fresh symbols all_281_0, all_281_1
% 74.40/11.46 | | | | gives:
% 74.40/11.46 | | | | (431) multiplication(all_22_7, all_30_0) = all_281_1 &
% 74.40/11.46 | | | | multiplication(all_22_7, one) = all_281_0 & addition(all_281_1,
% 74.40/11.46 | | | | all_281_0) = all_30_0 & $i(all_281_0) & $i(all_281_1)
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | ALPHA: (431) implies:
% 74.40/11.46 | | | | (432) $i(all_281_0)
% 74.40/11.46 | | | | (433) multiplication(all_22_7, one) = all_281_0
% 74.40/11.46 | | | | (434) multiplication(all_22_7, all_30_0) = all_281_1
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | DELTA: instantiating (316) with fresh symbols all_283_0, all_283_1
% 74.40/11.46 | | | | gives:
% 74.40/11.46 | | | | (435) multiplication(all_22_9, all_71_0) = all_283_1 &
% 74.40/11.46 | | | | multiplication(all_22_9, one) = all_283_0 & addition(all_283_1,
% 74.40/11.46 | | | | all_283_0) = all_71_0 & $i(all_283_0) & $i(all_283_1)
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | ALPHA: (435) implies:
% 74.40/11.46 | | | | (436) multiplication(all_22_9, one) = all_283_0
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | DELTA: instantiating (269) with fresh symbols all_285_0, all_285_1
% 74.40/11.46 | | | | gives:
% 74.40/11.46 | | | | (437) multiplication(all_32_0, all_22_7) = all_285_1 &
% 74.40/11.46 | | | | multiplication(one, all_22_7) = all_285_0 & addition(all_285_1,
% 74.40/11.46 | | | | all_285_0) = all_32_0 & $i(all_285_0) & $i(all_285_1)
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | ALPHA: (437) implies:
% 74.40/11.46 | | | | (438) multiplication(all_32_0, all_22_7) = all_285_1
% 74.40/11.46 | | | |
% 74.40/11.46 | | | | DELTA: instantiating (334) with fresh symbols all_287_0, all_287_1
% 74.40/11.46 | | | | gives:
% 74.40/11.47 | | | | (439) multiplication(all_22_7, all_69_0) = all_287_1 &
% 74.40/11.47 | | | | multiplication(all_22_7, one) = all_287_0 & addition(all_287_1,
% 74.40/11.47 | | | | all_287_0) = all_69_0 & $i(all_287_0) & $i(all_287_1)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (439) implies:
% 74.40/11.47 | | | | (440) multiplication(all_22_7, one) = all_287_0
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (280) with fresh symbols all_291_0, all_291_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (441) multiplication(all_36_0, all_22_9) = all_291_1 &
% 74.40/11.47 | | | | multiplication(one, all_22_9) = all_291_0 & addition(all_291_1,
% 74.40/11.47 | | | | all_291_0) = all_36_0 & $i(all_291_0) & $i(all_291_1)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (441) implies:
% 74.40/11.47 | | | | (442) multiplication(one, all_22_9) = all_291_0
% 74.40/11.47 | | | | (443) multiplication(all_36_0, all_22_9) = all_291_1
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (343) with fresh symbols all_301_0, all_301_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (444) multiplication(all_83_0, all_22_7) = all_301_0 &
% 74.40/11.47 | | | | multiplication(all_83_1, all_22_7) = all_301_1 &
% 74.40/11.47 | | | | addition(all_301_1, all_301_0) = all_83_0 & $i(all_301_0) &
% 74.40/11.47 | | | | $i(all_301_1)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (444) implies:
% 74.40/11.47 | | | | (445) multiplication(all_83_1, all_22_7) = all_301_1
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (329) with fresh symbols all_305_0, all_305_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (446) multiplication(all_22_7, all_79_0) = all_305_0 &
% 74.40/11.47 | | | | multiplication(all_22_7, all_79_1) = all_305_1 &
% 74.40/11.47 | | | | addition(all_305_1, all_305_0) = all_79_0 & $i(all_305_0) &
% 74.40/11.47 | | | | $i(all_305_1)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (446) implies:
% 74.40/11.47 | | | | (447) multiplication(all_22_7, all_79_1) = all_305_1
% 74.40/11.47 | | | | (448) multiplication(all_22_7, all_79_0) = all_305_0
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (322) with fresh symbols all_307_0, all_307_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (449) multiplication(all_22_8, all_89_0) = all_307_0 &
% 74.40/11.47 | | | | multiplication(all_22_8, all_79_1) = all_307_1 &
% 74.40/11.47 | | | | addition(all_307_1, all_307_0) = all_97_0 & $i(all_307_0) &
% 74.40/11.47 | | | | $i(all_307_1) & $i(all_97_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (449) implies:
% 74.40/11.47 | | | | (450) multiplication(all_22_8, all_79_1) = all_307_1
% 74.40/11.47 | | | | (451) multiplication(all_22_8, all_89_0) = all_307_0
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (319) with fresh symbols all_309_0, all_309_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (452) multiplication(all_22_9, all_65_0) = all_309_0 &
% 74.40/11.47 | | | | multiplication(all_22_9, one) = all_309_1 & addition(all_309_1,
% 74.40/11.47 | | | | all_309_0) = all_71_0 & $i(all_309_0) & $i(all_309_1) &
% 74.40/11.47 | | | | $i(all_71_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (452) implies:
% 74.40/11.47 | | | | (453) multiplication(all_22_9, one) = all_309_1
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (318) with fresh symbols all_313_0, all_313_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (454) multiplication(all_22_9, all_67_0) = all_313_0 &
% 74.40/11.47 | | | | multiplication(all_22_9, one) = all_313_1 & addition(all_313_1,
% 74.40/11.47 | | | | all_313_0) = all_71_0 & $i(all_313_0) & $i(all_313_1) &
% 74.40/11.47 | | | | $i(all_71_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (454) implies:
% 74.40/11.47 | | | | (455) multiplication(all_22_9, one) = all_313_1
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (317) with fresh symbols all_315_0, all_315_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (456) multiplication(all_22_9, all_38_0) = all_315_1 &
% 74.40/11.47 | | | | multiplication(all_22_9, all_22_4) = all_315_0 &
% 74.40/11.47 | | | | addition(all_315_1, all_315_0) = all_71_0 & $i(all_315_0) &
% 74.40/11.47 | | | | $i(all_315_1) & $i(all_71_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (456) implies:
% 74.40/11.47 | | | | (457) multiplication(all_22_9, all_22_4) = all_315_0
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (348) with fresh symbols all_319_0, all_319_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (458) multiplication(all_75_0, all_22_8) = all_319_0 &
% 74.40/11.47 | | | | multiplication(all_75_1, all_22_8) = all_319_1 &
% 74.40/11.47 | | | | addition(all_319_1, all_319_0) = all_101_0 & $i(all_319_0) &
% 74.40/11.47 | | | | $i(all_319_1) & $i(all_101_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (458) implies:
% 74.40/11.47 | | | | (459) multiplication(all_75_1, all_22_8) = all_319_1
% 74.40/11.47 | | | | (460) multiplication(all_75_0, all_22_8) = all_319_0
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (347) with fresh symbols all_321_0, all_321_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (461) multiplication(all_87_0, all_22_8) = all_321_0 &
% 74.40/11.47 | | | | multiplication(all_75_1, all_22_8) = all_321_1 &
% 74.40/11.47 | | | | addition(all_321_1, all_321_0) = all_101_0 & $i(all_321_0) &
% 74.40/11.47 | | | | $i(all_321_1) & $i(all_101_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (461) implies:
% 74.40/11.47 | | | | (462) addition(all_321_1, all_321_0) = all_101_0
% 74.40/11.47 | | | | (463) multiplication(all_75_1, all_22_8) = all_321_1
% 74.40/11.47 | | | | (464) multiplication(all_87_0, all_22_8) = all_321_0
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (333) with fresh symbols all_335_0, all_335_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (465) multiplication(all_22_7, all_40_0) = all_335_0 &
% 74.40/11.47 | | | | multiplication(all_22_7, all_22_2) = all_335_1 &
% 74.40/11.47 | | | | addition(all_335_1, all_335_0) = all_69_0 & $i(all_335_0) &
% 74.40/11.47 | | | | $i(all_335_1) & $i(all_69_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (465) implies:
% 74.40/11.47 | | | | (466) multiplication(all_22_7, all_22_2) = all_335_1
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (275) with fresh symbols all_343_0, all_343_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (467) multiplication(all_34_0, all_22_9) = all_343_1 &
% 74.40/11.47 | | | | multiplication(one, all_22_9) = all_343_0 & addition(all_343_1,
% 74.40/11.47 | | | | all_343_0) = all_36_0 & $i(all_343_0) & $i(all_343_1) &
% 74.40/11.47 | | | | $i(all_36_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (467) implies:
% 74.40/11.47 | | | | (468) addition(all_343_1, all_343_0) = all_36_0
% 74.40/11.47 | | | | (469) multiplication(one, all_22_9) = all_343_0
% 74.40/11.47 | | | | (470) multiplication(all_34_0, all_22_9) = all_343_1
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | DELTA: instantiating (264) with fresh symbols all_345_0, all_345_1
% 74.40/11.47 | | | | gives:
% 74.40/11.47 | | | | (471) multiplication(all_30_0, all_22_7) = all_345_1 &
% 74.40/11.47 | | | | multiplication(one, all_22_7) = all_345_0 & addition(all_345_1,
% 74.40/11.47 | | | | all_345_0) = all_32_0 & $i(all_345_0) & $i(all_345_1) &
% 74.40/11.47 | | | | $i(all_32_0)
% 74.40/11.47 | | | |
% 74.40/11.47 | | | | ALPHA: (471) implies:
% 74.40/11.48 | | | | (472) addition(all_345_1, all_345_0) = all_32_0
% 74.40/11.48 | | | | (473) multiplication(one, all_22_7) = all_345_0
% 74.40/11.48 | | | | (474) multiplication(all_30_0, all_22_7) = all_345_1
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (332) with fresh symbols all_347_0, all_347_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (475) multiplication(all_22_7, all_83_0) = all_347_0 &
% 74.40/11.48 | | | | multiplication(all_22_7, all_83_1) = all_347_1 &
% 74.40/11.48 | | | | addition(all_347_1, all_347_0) = all_89_0 & $i(all_347_0) &
% 74.40/11.48 | | | | $i(all_347_1) & $i(all_89_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (475) implies:
% 74.40/11.48 | | | | (476) $i(all_347_0)
% 74.40/11.48 | | | | (477) addition(all_347_1, all_347_0) = all_89_0
% 74.40/11.48 | | | | (478) multiplication(all_22_7, all_83_1) = all_347_1
% 74.40/11.48 | | | | (479) multiplication(all_22_7, all_83_0) = all_347_0
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (331) with fresh symbols all_349_0, all_349_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (480) multiplication(all_22_7, all_91_0) = all_349_0 &
% 74.40/11.48 | | | | multiplication(all_22_7, all_83_1) = all_349_1 &
% 74.40/11.48 | | | | addition(all_349_1, all_349_0) = all_89_0 & $i(all_349_0) &
% 74.40/11.48 | | | | $i(all_349_1) & $i(all_89_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (480) implies:
% 74.40/11.48 | | | | (481) multiplication(all_22_7, all_83_1) = all_349_1
% 74.40/11.48 | | | | (482) multiplication(all_22_7, all_91_0) = all_349_0
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (345) with fresh symbols all_351_0, all_351_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (483) multiplication(all_77_0, all_22_8) = all_351_0 &
% 74.40/11.48 | | | | multiplication(all_77_1, all_22_8) = all_351_1 &
% 74.40/11.48 | | | | addition(all_351_1, all_351_0) = all_95_0 & $i(all_351_0) &
% 74.40/11.48 | | | | $i(all_351_1) & $i(all_95_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (483) implies:
% 74.40/11.48 | | | | (484) multiplication(all_77_1, all_22_8) = all_351_1
% 74.40/11.48 | | | | (485) multiplication(all_77_0, all_22_8) = all_351_0
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (344) with fresh symbols all_353_0, all_353_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (486) multiplication(all_93_0, all_22_8) = all_353_0 &
% 74.40/11.48 | | | | multiplication(all_77_1, all_22_8) = all_353_1 &
% 74.40/11.48 | | | | addition(all_353_1, all_353_0) = all_95_0 & $i(all_353_0) &
% 74.40/11.48 | | | | $i(all_353_1) & $i(all_95_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (486) implies:
% 74.40/11.48 | | | | (487) $i(all_353_0)
% 74.40/11.48 | | | | (488) multiplication(all_77_1, all_22_8) = all_353_1
% 74.40/11.48 | | | | (489) multiplication(all_93_0, all_22_8) = all_353_0
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (342) with fresh symbols all_355_0, all_355_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (490) multiplication(all_91_0, all_22_7) = all_355_0 &
% 74.40/11.48 | | | | multiplication(all_83_1, all_22_7) = all_355_1 &
% 74.40/11.48 | | | | addition(all_355_1, all_355_0) = all_83_0 & $i(all_355_0) &
% 74.40/11.48 | | | | $i(all_355_1) & $i(all_83_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (490) implies:
% 74.40/11.48 | | | | (491) multiplication(all_83_1, all_22_7) = all_355_1
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (315) with fresh symbols all_361_0, all_361_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (492) multiplication(all_22_9, all_38_0) = all_361_0 &
% 74.40/11.48 | | | | multiplication(all_22_9, all_22_4) = all_361_1 &
% 74.40/11.48 | | | | addition(all_361_1, all_361_0) = all_71_0 & $i(all_361_0) &
% 74.40/11.48 | | | | $i(all_361_1) & $i(all_71_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (492) implies:
% 74.40/11.48 | | | | (493) multiplication(all_22_9, all_22_4) = all_361_1
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (340) with fresh symbols all_365_0, all_365_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (494) multiplication(all_79_0, all_22_7) = all_365_0 &
% 74.40/11.48 | | | | multiplication(all_79_1, all_22_7) = all_365_1 &
% 74.40/11.48 | | | | addition(all_365_1, all_365_0) = all_91_0 & $i(all_365_0) &
% 74.40/11.48 | | | | $i(all_365_1) & $i(all_91_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (494) implies:
% 74.40/11.48 | | | | (495) multiplication(all_79_1, all_22_7) = all_365_1
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (339) with fresh symbols all_367_0, all_367_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (496) multiplication(all_89_0, all_22_7) = all_367_0 &
% 74.40/11.48 | | | | multiplication(all_79_1, all_22_7) = all_367_1 &
% 74.40/11.48 | | | | addition(all_367_1, all_367_0) = all_91_0 & $i(all_367_0) &
% 74.40/11.48 | | | | $i(all_367_1) & $i(all_91_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (496) implies:
% 74.40/11.48 | | | | (497) multiplication(all_79_1, all_22_7) = all_367_1
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | DELTA: instantiating (281) with fresh symbols all_373_0, all_373_1
% 74.40/11.48 | | | | gives:
% 74.40/11.48 | | | | (498) multiplication(all_22_9, all_36_0) = all_373_1 &
% 74.40/11.48 | | | | multiplication(all_22_9, one) = all_373_0 & addition(all_373_1,
% 74.40/11.48 | | | | all_373_0) = all_34_0 & $i(all_373_0) & $i(all_373_1) &
% 74.40/11.48 | | | | $i(all_34_0)
% 74.40/11.48 | | | |
% 74.40/11.48 | | | | ALPHA: (498) implies:
% 74.40/11.48 | | | | (499) addition(all_373_1, all_373_0) = all_34_0
% 74.40/11.48 | | | | (500) multiplication(all_22_9, one) = all_373_0
% 74.40/11.49 | | | | (501) multiplication(all_22_9, all_36_0) = all_373_1
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (325) with fresh symbols all_385_0, all_385_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (502) multiplication(all_22_8, all_83_0) = all_385_0 &
% 74.40/11.49 | | | | multiplication(all_22_8, all_83_1) = all_385_1 &
% 74.40/11.49 | | | | addition(all_385_1, all_385_0) = all_99_0 & $i(all_385_0) &
% 74.40/11.49 | | | | $i(all_385_1) & $i(all_99_0)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (502) implies:
% 74.40/11.49 | | | | (503) $i(all_385_0)
% 74.40/11.49 | | | | (504) addition(all_385_1, all_385_0) = all_99_0
% 74.40/11.49 | | | | (505) multiplication(all_22_8, all_83_1) = all_385_1
% 74.40/11.49 | | | | (506) multiplication(all_22_8, all_83_0) = all_385_0
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (324) with fresh symbols all_387_0, all_387_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (507) multiplication(all_22_8, all_91_0) = all_387_0 &
% 74.40/11.49 | | | | multiplication(all_22_8, all_83_1) = all_387_1 &
% 74.40/11.49 | | | | addition(all_387_1, all_387_0) = all_99_0 & $i(all_387_0) &
% 74.40/11.49 | | | | $i(all_387_1) & $i(all_99_0)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (507) implies:
% 74.40/11.49 | | | | (508) multiplication(all_22_8, all_83_1) = all_387_1
% 74.40/11.49 | | | | (509) multiplication(all_22_8, all_91_0) = all_387_0
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (328) with fresh symbols all_389_0, all_389_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (510) multiplication(all_22_7, all_89_0) = all_389_0 &
% 74.40/11.49 | | | | multiplication(all_22_7, all_79_1) = all_389_1 &
% 74.40/11.49 | | | | addition(all_389_1, all_389_0) = all_79_0 & $i(all_389_0) &
% 74.40/11.49 | | | | $i(all_389_1) & $i(all_79_0)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (510) implies:
% 74.40/11.49 | | | | (511) multiplication(all_22_7, all_79_1) = all_389_1
% 74.40/11.49 | | | | (512) multiplication(all_22_7, all_89_0) = all_389_0
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (279) with fresh symbols all_391_0, all_391_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (513) multiplication(all_36_0, all_22_8) = all_391_1 &
% 74.40/11.49 | | | | multiplication(one, all_22_8) = all_391_0 & addition(all_391_1,
% 74.40/11.49 | | | | all_391_0) = all_22_3 & $i(all_391_0) & $i(all_391_1) &
% 74.40/11.49 | | | | $i(all_22_3)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (513) implies:
% 74.40/11.49 | | | | (514) $i(all_391_0)
% 74.40/11.49 | | | | (515) addition(all_391_1, all_391_0) = all_22_3
% 74.40/11.49 | | | | (516) multiplication(one, all_22_8) = all_391_0
% 74.40/11.49 | | | | (517) multiplication(all_36_0, all_22_8) = all_391_1
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (274) with fresh symbols all_393_0, all_393_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (518) multiplication(all_34_0, all_22_8) = all_393_1 &
% 74.40/11.49 | | | | multiplication(one, all_22_8) = all_393_0 & addition(all_393_1,
% 74.40/11.49 | | | | all_393_0) = all_22_3 & $i(all_393_0) & $i(all_393_1) &
% 74.40/11.49 | | | | $i(all_22_3)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (518) implies:
% 74.40/11.49 | | | | (519) multiplication(one, all_22_8) = all_393_0
% 74.40/11.49 | | | | (520) multiplication(all_34_0, all_22_8) = all_393_1
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (271) with fresh symbols all_395_0, all_395_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (521) multiplication(all_22_8, all_32_0) = all_395_1 &
% 74.40/11.49 | | | | multiplication(all_22_8, one) = all_395_0 & addition(all_395_1,
% 74.40/11.49 | | | | all_395_0) = all_22_1 & $i(all_395_0) & $i(all_395_1) &
% 74.40/11.49 | | | | $i(all_22_1)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (521) implies:
% 74.40/11.49 | | | | (522) $i(all_395_1)
% 74.40/11.49 | | | | (523) addition(all_395_1, all_395_0) = all_22_1
% 74.40/11.49 | | | | (524) multiplication(all_22_8, one) = all_395_0
% 74.40/11.49 | | | | (525) multiplication(all_22_8, all_32_0) = all_395_1
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (266) with fresh symbols all_397_0, all_397_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (526) multiplication(all_22_8, all_30_0) = all_397_1 &
% 74.40/11.49 | | | | multiplication(all_22_8, one) = all_397_0 & addition(all_397_1,
% 74.40/11.49 | | | | all_397_0) = all_22_1 & $i(all_397_0) & $i(all_397_1) &
% 74.40/11.49 | | | | $i(all_22_1)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (526) implies:
% 74.40/11.49 | | | | (527) multiplication(all_22_8, one) = all_397_0
% 74.40/11.49 | | | | (528) multiplication(all_22_8, all_30_0) = all_397_1
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | DELTA: instantiating (270) with fresh symbols all_399_0, all_399_1
% 74.40/11.49 | | | | gives:
% 74.40/11.49 | | | | (529) multiplication(all_22_7, all_32_0) = all_399_1 &
% 74.40/11.49 | | | | multiplication(all_22_7, one) = all_399_0 & addition(all_399_1,
% 74.40/11.49 | | | | all_399_0) = all_30_0 & $i(all_399_0) & $i(all_399_1) &
% 74.40/11.49 | | | | $i(all_30_0)
% 74.40/11.49 | | | |
% 74.40/11.49 | | | | ALPHA: (529) implies:
% 74.40/11.49 | | | | (530) addition(all_399_1, all_399_0) = all_30_0
% 74.40/11.50 | | | | (531) multiplication(all_22_7, one) = all_399_0
% 74.40/11.50 | | | | (532) multiplication(all_22_7, all_32_0) = all_399_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | DELTA: instantiating (306) with fresh symbols all_405_0, all_405_1
% 74.40/11.50 | | | | gives:
% 74.40/11.50 | | | | (533) multiplication(all_22_9, all_99_0) = all_405_0 &
% 74.40/11.50 | | | | multiplication(all_22_9, all_97_1) = all_405_1 &
% 74.40/11.50 | | | | addition(all_405_1, all_405_0) = all_51_2 & $i(all_405_0) &
% 74.40/11.50 | | | | $i(all_405_1) & $i(all_51_2)
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | ALPHA: (533) implies:
% 74.40/11.50 | | | | (534) multiplication(all_22_9, all_97_1) = all_405_1
% 74.40/11.50 | | | | (535) multiplication(all_22_9, all_99_0) = all_405_0
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | DELTA: instantiating (302) with fresh symbols all_407_0, all_407_1
% 74.40/11.50 | | | | gives:
% 74.40/11.50 | | | | (536) multiplication(all_22_9, all_97_0) = all_407_0 &
% 74.40/11.50 | | | | multiplication(all_22_9, all_97_1) = all_407_1 &
% 74.40/11.50 | | | | addition(all_407_1, all_407_0) = all_51_2 & $i(all_407_0) &
% 74.40/11.50 | | | | $i(all_407_1) & $i(all_51_2)
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | ALPHA: (536) implies:
% 74.40/11.50 | | | | (537) $i(all_407_0)
% 74.40/11.50 | | | | (538) addition(all_407_1, all_407_0) = all_51_2
% 74.40/11.50 | | | | (539) multiplication(all_22_9, all_97_1) = all_407_1
% 74.40/11.50 | | | | (540) multiplication(all_22_9, all_97_0) = all_407_0
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | DELTA: instantiating (337) with fresh symbols all_409_0, all_409_1
% 74.40/11.50 | | | | gives:
% 74.40/11.50 | | | | (541) multiplication(all_22_7, all_61_0) = all_409_0 &
% 74.40/11.50 | | | | multiplication(all_22_7, one) = all_409_1 & addition(all_409_1,
% 74.40/11.50 | | | | all_409_0) = all_69_0 & $i(all_409_0) & $i(all_409_1) &
% 74.40/11.50 | | | | $i(all_69_0)
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | ALPHA: (541) implies:
% 74.40/11.50 | | | | (542) multiplication(all_22_7, one) = all_409_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | DELTA: instantiating (336) with fresh symbols all_411_0, all_411_1
% 74.40/11.50 | | | | gives:
% 74.40/11.50 | | | | (543) multiplication(all_22_7, all_63_0) = all_411_0 &
% 74.40/11.50 | | | | multiplication(all_22_7, one) = all_411_1 & addition(all_411_1,
% 74.40/11.50 | | | | all_411_0) = all_69_0 & $i(all_411_0) & $i(all_411_1) &
% 74.40/11.50 | | | | $i(all_69_0)
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | ALPHA: (543) implies:
% 74.40/11.50 | | | | (544) multiplication(all_22_7, one) = all_411_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | DELTA: instantiating (335) with fresh symbols all_413_0, all_413_1
% 74.40/11.50 | | | | gives:
% 74.40/11.50 | | | | (545) multiplication(all_22_7, all_40_0) = all_413_1 &
% 74.40/11.50 | | | | multiplication(all_22_7, all_22_2) = all_413_0 &
% 74.40/11.50 | | | | addition(all_413_1, all_413_0) = all_69_0 & $i(all_413_0) &
% 74.40/11.50 | | | | $i(all_413_1) & $i(all_69_0)
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | ALPHA: (545) implies:
% 74.40/11.50 | | | | (546) multiplication(all_22_7, all_22_2) = all_413_0
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | DELTA: instantiating (323) with fresh symbols all_415_0, all_415_1
% 74.40/11.50 | | | | gives:
% 74.40/11.50 | | | | (547) multiplication(all_22_8, all_79_0) = all_415_0 &
% 74.40/11.50 | | | | multiplication(all_22_8, all_79_1) = all_415_1 &
% 74.40/11.50 | | | | addition(all_415_1, all_415_0) = all_97_0 & $i(all_415_0) &
% 74.40/11.50 | | | | $i(all_415_1) & $i(all_97_0)
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | ALPHA: (547) implies:
% 74.40/11.50 | | | | (548) multiplication(all_22_8, all_79_1) = all_415_1
% 74.40/11.50 | | | | (549) multiplication(all_22_8, all_79_0) = all_415_0
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (262), (411) imply:
% 74.40/11.50 | | | | (550) multiplication(all_237_0, all_22_8) = all_22_6
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (312), (491) imply:
% 74.40/11.50 | | | | (551) multiplication(all_22_7, all_22_7) = all_355_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (312), (445) imply:
% 74.40/11.50 | | | | (552) multiplication(all_22_7, all_22_7) = all_301_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (326), (497) imply:
% 74.40/11.50 | | | | (553) multiplication(all_22_7, all_22_7) = all_367_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (326), (495) imply:
% 74.40/11.50 | | | | (554) multiplication(all_22_7, all_22_7) = all_365_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (313), (488) imply:
% 74.40/11.50 | | | | (555) multiplication(all_22_9, all_22_8) = all_353_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (313), (484) imply:
% 74.40/11.50 | | | | (556) multiplication(all_22_9, all_22_8) = all_351_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (310), (463) imply:
% 74.40/11.50 | | | | (557) multiplication(all_22_9, all_22_8) = all_321_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (310), (459) imply:
% 74.40/11.50 | | | | (558) multiplication(all_22_9, all_22_8) = all_319_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (312), (481) imply:
% 74.40/11.50 | | | | (559) multiplication(all_22_7, all_22_7) = all_349_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (312), (478) imply:
% 74.40/11.50 | | | | (560) multiplication(all_22_7, all_22_7) = all_347_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (326), (511) imply:
% 74.40/11.50 | | | | (561) multiplication(all_22_7, all_22_7) = all_389_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (326), (447) imply:
% 74.40/11.50 | | | | (562) multiplication(all_22_7, all_22_7) = all_305_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (173), (326) imply:
% 74.40/11.50 | | | | (563) multiplication(all_22_7, one) = all_22_7
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (312), (508) imply:
% 74.40/11.50 | | | | (564) multiplication(all_22_8, all_22_7) = all_387_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (312), (505) imply:
% 74.40/11.50 | | | | (565) multiplication(all_22_8, all_22_7) = all_385_1
% 74.40/11.50 | | | |
% 74.40/11.50 | | | | REDUCE: (326), (548) imply:
% 74.40/11.51 | | | | (566) multiplication(all_22_8, all_22_7) = all_415_1
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (326), (450) imply:
% 74.40/11.51 | | | | (567) multiplication(all_22_8, all_22_7) = all_307_1
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (220), (320) imply:
% 74.40/11.51 | | | | (568) multiplication(all_22_8, one) = all_22_8
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (262), (408) imply:
% 74.40/11.51 | | | | (569) multiplication(all_22_9, all_233_0) = all_22_6
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (320), (539) imply:
% 74.40/11.51 | | | | (570) multiplication(all_22_9, all_22_8) = all_407_1
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (320), (534) imply:
% 74.40/11.51 | | | | (571) multiplication(all_22_9, all_22_8) = all_405_1
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (168), (313) imply:
% 74.40/11.51 | | | | (572) multiplication(all_22_9, one) = all_22_9
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (182), (312) imply:
% 74.40/11.51 | | | | (573) multiplication(one, all_22_7) = all_22_7
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (215), (311) imply:
% 74.40/11.51 | | | | (574) multiplication(one, all_22_8) = all_22_8
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (163), (310) imply:
% 74.40/11.51 | | | | (575) multiplication(one, all_22_9) = all_22_9
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (249), (320) imply:
% 74.40/11.51 | | | | (576) addition(all_22_8, all_99_0) = all_22_1
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (248), (311) imply:
% 74.40/11.51 | | | | (577) addition(all_22_8, all_101_0) = all_22_3
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (326), (388) imply:
% 74.40/11.51 | | | | (578) addition(all_22_7, all_181_0) = all_22_2
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (262), (354) imply:
% 74.40/11.51 | | | | (579) addition(all_22_6, all_22_6) = all_129_0
% 74.40/11.51 | | | |
% 74.40/11.51 | | | | REDUCE: (262), (359) imply:
% 74.93/11.51 | | | | (580) addition(all_22_6, all_22_6) = all_133_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (320), (378) imply:
% 74.93/11.51 | | | | (581) addition(all_51_1, all_22_8) = all_171_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (320), (363) imply:
% 74.93/11.51 | | | | (582) addition(all_51_1, all_22_8) = all_141_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (311), (383) imply:
% 74.93/11.51 | | | | (583) addition(all_22_1, all_22_8) = all_175_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (311), (365) imply:
% 74.93/11.51 | | | | (584) addition(all_22_1, all_22_8) = all_143_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (320), (391) imply:
% 74.93/11.51 | | | | (585) addition(all_22_3, all_22_8) = all_185_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (320), (372) imply:
% 74.93/11.51 | | | | (586) addition(all_22_3, all_22_8) = all_151_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (262), (357) imply:
% 74.93/11.51 | | | | (587) addition(all_22_6, all_22_6) = all_131_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (134), (262) imply:
% 74.93/11.51 | | | | (588) addition(all_22_6, all_22_6) = all_22_6
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (312), (419) imply:
% 74.93/11.51 | | | | (589) addition(one, all_22_7) = all_259_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (312), (385) imply:
% 74.93/11.51 | | | | (590) addition(one, all_22_7) = all_179_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (326), (413) imply:
% 74.93/11.51 | | | | (591) addition(one, all_22_7) = all_243_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | REDUCE: (326), (374) imply:
% 74.93/11.51 | | | | (592) addition(one, all_22_7) = all_163_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_163_0, all_243_0, all_22_7,
% 74.93/11.51 | | | | one, simplifying with (591), (592) gives:
% 74.93/11.51 | | | | (593) all_243_0 = all_163_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_243_0, all_259_0, all_22_7,
% 74.93/11.51 | | | | one, simplifying with (589), (591) gives:
% 74.93/11.51 | | | | (594) all_259_0 = all_243_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_179_0, all_259_0, all_22_7,
% 74.93/11.51 | | | | one, simplifying with (589), (590) gives:
% 74.93/11.51 | | | | (595) all_259_0 = all_179_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_22_6, all_129_0, all_22_6,
% 74.93/11.51 | | | | all_22_6, simplifying with (579), (588) gives:
% 74.93/11.51 | | | | (596) all_129_0 = all_22_6
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_129_0, all_131_0, all_22_6,
% 74.93/11.51 | | | | all_22_6, simplifying with (579), (587) gives:
% 74.93/11.51 | | | | (597) all_131_0 = all_129_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_131_0, all_133_0, all_22_6,
% 74.93/11.51 | | | | all_22_6, simplifying with (580), (587) gives:
% 74.93/11.51 | | | | (598) all_133_0 = all_131_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_127_0, all_133_0, all_22_6,
% 74.93/11.51 | | | | all_22_6, simplifying with (351), (580) gives:
% 74.93/11.51 | | | | (599) all_133_0 = all_127_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_151_0, all_185_0, all_22_8,
% 74.93/11.51 | | | | all_22_3, simplifying with (585), (586) gives:
% 74.93/11.51 | | | | (600) all_185_0 = all_151_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_143_0, all_175_0, all_22_8,
% 74.93/11.51 | | | | all_22_1, simplifying with (583), (584) gives:
% 74.93/11.51 | | | | (601) all_175_0 = all_143_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (21) with all_141_0, all_171_0, all_22_8,
% 74.93/11.51 | | | | all_51_1, simplifying with (581), (582) gives:
% 74.93/11.51 | | | | (602) all_171_0 = all_141_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (22) with all_291_0, all_343_0, all_22_9,
% 74.93/11.51 | | | | one, simplifying with (442), (469) gives:
% 74.93/11.51 | | | | (603) all_343_0 = all_291_0
% 74.93/11.51 | | | |
% 74.93/11.51 | | | | GROUND_INST: instantiating (22) with all_22_9, all_343_0, all_22_9, one,
% 74.93/11.51 | | | | simplifying with (469), (575) gives:
% 74.93/11.52 | | | | (604) all_343_0 = all_22_9
% 74.93/11.52 | | | |
% 74.93/11.52 | | | | GROUND_INST: instantiating (22) with all_391_0, all_393_0, all_22_8,
% 74.93/11.52 | | | | one, simplifying with (516), (519) gives:
% 74.93/11.52 | | | | (605) all_393_0 = all_391_0
% 74.93/11.52 | | | |
% 74.93/11.52 | | | | GROUND_INST: instantiating (22) with all_22_8, all_393_0, all_22_8, one,
% 74.93/11.52 | | | | simplifying with (519), (574) gives:
% 74.93/11.52 | | | | (606) all_393_0 = all_22_8
% 74.93/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_22_7, all_345_0, all_22_7, one,
% 74.99/11.52 | | | | simplifying with (473), (573) gives:
% 74.99/11.52 | | | | (607) all_345_0 = all_22_7
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_309_1, all_313_1, one,
% 74.99/11.52 | | | | all_22_9, simplifying with (453), (455) gives:
% 74.99/11.52 | | | | (608) all_313_1 = all_309_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_283_0, all_313_1, one,
% 74.99/11.52 | | | | all_22_9, simplifying with (436), (455) gives:
% 74.99/11.52 | | | | (609) all_313_1 = all_283_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_22_9, all_313_1, one, all_22_9,
% 74.99/11.52 | | | | simplifying with (455), (572) gives:
% 74.99/11.52 | | | | (610) all_313_1 = all_22_9
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_309_1, all_373_0, one,
% 74.99/11.52 | | | | all_22_9, simplifying with (453), (500) gives:
% 74.99/11.52 | | | | (611) all_373_0 = all_309_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_279_0, all_373_0, one,
% 74.99/11.52 | | | | all_22_9, simplifying with (429), (500) gives:
% 74.99/11.52 | | | | (612) all_373_0 = all_279_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_319_1, all_321_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (557), (558) gives:
% 74.99/11.52 | | | | (613) all_321_1 = all_319_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_321_1, all_351_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (556), (557) gives:
% 74.99/11.52 | | | | (614) all_351_1 = all_321_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_351_1, all_405_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (556), (571) gives:
% 74.99/11.52 | | | | (615) all_405_1 = all_351_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_139_0, all_405_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (361), (571) gives:
% 74.99/11.52 | | | | (616) all_405_1 = all_139_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_22_6, all_407_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (32), (570) gives:
% 74.99/11.52 | | | | (617) all_407_1 = all_22_6
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_353_1, all_407_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (555), (570) gives:
% 74.99/11.52 | | | | (618) all_407_1 = all_353_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_319_1, all_407_1, all_22_8,
% 74.99/11.52 | | | | all_22_9, simplifying with (558), (570) gives:
% 74.99/11.52 | | | | (619) all_407_1 = all_319_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_34_0, all_315_0, all_22_4,
% 74.99/11.52 | | | | all_22_9, simplifying with (60), (457) gives:
% 74.99/11.52 | | | | (620) all_315_0 = all_34_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_315_0, all_361_1, all_22_4,
% 74.99/11.52 | | | | all_22_9, simplifying with (457), (493) gives:
% 74.99/11.52 | | | | (621) all_361_1 = all_315_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_271_0, all_361_1, all_22_4,
% 74.99/11.52 | | | | all_22_9, simplifying with (425), (493) gives:
% 74.99/11.52 | | | | (622) all_361_1 = all_271_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_77_0, all_279_1, all_34_0,
% 74.99/11.52 | | | | all_22_9, simplifying with (169), (430) gives:
% 74.99/11.52 | | | | (623) all_279_1 = all_77_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_93_0, all_373_1, all_36_0,
% 74.99/11.52 | | | | all_22_9, simplifying with (211), (501) gives:
% 74.99/11.52 | | | | (624) all_373_1 = all_93_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_395_0, all_397_0, one,
% 74.99/11.52 | | | | all_22_8, simplifying with (524), (527) gives:
% 74.99/11.52 | | | | (625) all_397_0 = all_395_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_22_8, all_397_0, one, all_22_8,
% 74.99/11.52 | | | | simplifying with (527), (568) gives:
% 74.99/11.52 | | | | (626) all_397_0 = all_22_8
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_22_5, all_385_1, all_22_7,
% 74.99/11.52 | | | | all_22_8, simplifying with (33), (565) gives:
% 74.99/11.52 | | | | (627) all_385_1 = all_22_5
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_385_1, all_387_1, all_22_7,
% 74.99/11.52 | | | | all_22_8, simplifying with (564), (565) gives:
% 74.99/11.52 | | | | (628) all_387_1 = all_385_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_197_0, all_387_1, all_22_7,
% 74.99/11.52 | | | | all_22_8, simplifying with (398), (564) gives:
% 74.99/11.52 | | | | (629) all_387_1 = all_197_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_387_1, all_415_1, all_22_7,
% 74.99/11.52 | | | | all_22_8, simplifying with (564), (566) gives:
% 74.99/11.52 | | | | (630) all_415_1 = all_387_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_307_1, all_415_1, all_22_7,
% 74.99/11.52 | | | | all_22_8, simplifying with (566), (567) gives:
% 74.99/11.52 | | | | (631) all_415_1 = all_307_1
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_97_0, all_397_1, all_30_0,
% 74.99/11.52 | | | | all_22_8, simplifying with (221), (528) gives:
% 74.99/11.52 | | | | (632) all_397_1 = all_97_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_99_0, all_395_1, all_32_0,
% 74.99/11.52 | | | | all_22_8, simplifying with (227), (525) gives:
% 74.99/11.52 | | | | (633) all_395_1 = all_99_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_287_0, all_399_0, one,
% 74.99/11.52 | | | | all_22_7, simplifying with (440), (531) gives:
% 74.99/11.52 | | | | (634) all_399_0 = all_287_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_399_0, all_409_1, one,
% 74.99/11.52 | | | | all_22_7, simplifying with (531), (542) gives:
% 74.99/11.52 | | | | (635) all_409_1 = all_399_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_22_7, all_409_1, one, all_22_7,
% 74.99/11.52 | | | | simplifying with (542), (563) gives:
% 74.99/11.52 | | | | (636) all_409_1 = all_22_7
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_287_0, all_411_1, one,
% 74.99/11.52 | | | | all_22_7, simplifying with (440), (544) gives:
% 74.99/11.52 | | | | (637) all_411_1 = all_287_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_281_0, all_411_1, one,
% 74.99/11.52 | | | | all_22_7, simplifying with (433), (544) gives:
% 74.99/11.52 | | | | (638) all_411_1 = all_281_0
% 74.99/11.52 | | | |
% 74.99/11.52 | | | | GROUND_INST: instantiating (22) with all_261_0, all_301_1, all_22_7,
% 74.99/11.52 | | | | all_22_7, simplifying with (423), (552) gives:
% 74.99/11.53 | | | | (639) all_301_1 = all_261_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_301_1, all_347_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (552), (560) gives:
% 74.99/11.53 | | | | (640) all_347_1 = all_301_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_147_0, all_347_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (367), (560) gives:
% 74.99/11.53 | | | | (641) all_347_1 = all_147_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_349_1, all_365_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (554), (559) gives:
% 74.99/11.53 | | | | (642) all_365_1 = all_349_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_347_1, all_365_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (554), (560) gives:
% 74.99/11.53 | | | | (643) all_365_1 = all_347_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_365_1, all_367_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (553), (554) gives:
% 74.99/11.53 | | | | (644) all_367_1 = all_365_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_305_1, all_367_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (553), (562) gives:
% 74.99/11.53 | | | | (645) all_367_1 = all_305_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_367_1, all_389_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (553), (561) gives:
% 74.99/11.53 | | | | (646) all_389_1 = all_367_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_355_1, all_389_1, all_22_7,
% 74.99/11.53 | | | | all_22_7, simplifying with (551), (561) gives:
% 74.99/11.53 | | | | (647) all_389_1 = all_355_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_30_0, all_413_0, all_22_2,
% 74.99/11.53 | | | | all_22_7, simplifying with (52), (546) gives:
% 74.99/11.53 | | | | (648) all_413_0 = all_30_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_335_1, all_413_0, all_22_2,
% 74.99/11.53 | | | | all_22_7, simplifying with (466), (546) gives:
% 74.99/11.53 | | | | (649) all_413_0 = all_335_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_201_0, all_413_0, all_22_2,
% 74.99/11.53 | | | | all_22_7, simplifying with (401), (546) gives:
% 74.99/11.53 | | | | (650) all_413_0 = all_201_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_79_0, all_281_1, all_30_0,
% 74.99/11.53 | | | | all_22_7, simplifying with (174), (434) gives:
% 74.99/11.53 | | | | (651) all_281_1 = all_79_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_89_0, all_399_1, all_32_0,
% 74.99/11.53 | | | | all_22_7, simplifying with (199), (532) gives:
% 74.99/11.53 | | | | (652) all_399_1 = all_89_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_32_0, all_149_0, all_22_7,
% 74.99/11.53 | | | | all_22_2, simplifying with (56), (370) gives:
% 74.99/11.53 | | | | (653) all_149_0 = all_32_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_91_0, all_345_1, all_22_7,
% 74.99/11.53 | | | | all_30_0, simplifying with (205), (474) gives:
% 74.99/11.53 | | | | (654) all_345_1 = all_91_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_83_0, all_285_1, all_22_7,
% 74.99/11.53 | | | | all_32_0, simplifying with (183), (438) gives:
% 74.99/11.53 | | | | (655) all_285_1 = all_83_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_87_0, all_343_1, all_22_9,
% 74.99/11.53 | | | | all_34_0, simplifying with (193), (470) gives:
% 74.99/11.53 | | | | (656) all_343_1 = all_87_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_95_0, all_393_1, all_22_8,
% 74.99/11.53 | | | | all_34_0, simplifying with (216), (520) gives:
% 74.99/11.53 | | | | (657) all_393_1 = all_95_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_75_0, all_291_1, all_22_9,
% 74.99/11.53 | | | | all_36_0, simplifying with (164), (443) gives:
% 74.99/11.53 | | | | (658) all_291_1 = all_75_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | GROUND_INST: instantiating (22) with all_101_0, all_391_1, all_22_8,
% 74.99/11.53 | | | | all_36_0, simplifying with (233), (517) gives:
% 74.99/11.53 | | | | (659) all_391_1 = all_101_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (630), (631) imply:
% 74.99/11.53 | | | | (660) all_387_1 = all_307_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (660) implies:
% 74.99/11.53 | | | | (661) all_387_1 = all_307_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (648), (649) imply:
% 74.99/11.53 | | | | (662) all_335_1 = all_30_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (649), (650) imply:
% 74.99/11.53 | | | | (663) all_335_1 = all_201_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (637), (638) imply:
% 74.99/11.53 | | | | (664) all_287_0 = all_281_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (664) implies:
% 74.99/11.53 | | | | (665) all_287_0 = all_281_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (635), (636) imply:
% 74.99/11.53 | | | | (666) all_399_0 = all_22_7
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (666) implies:
% 74.99/11.53 | | | | (667) all_399_0 = all_22_7
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (618), (619) imply:
% 74.99/11.53 | | | | (668) all_353_1 = all_319_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (617), (618) imply:
% 74.99/11.53 | | | | (669) all_353_1 = all_22_6
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (615), (616) imply:
% 74.99/11.53 | | | | (670) all_351_1 = all_139_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (670) implies:
% 74.99/11.53 | | | | (671) all_351_1 = all_139_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (634), (667) imply:
% 74.99/11.53 | | | | (672) all_287_0 = all_22_7
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (672) implies:
% 74.99/11.53 | | | | (673) all_287_0 = all_22_7
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (625), (626) imply:
% 74.99/11.53 | | | | (674) all_395_0 = all_22_8
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (605), (606) imply:
% 74.99/11.53 | | | | (675) all_391_0 = all_22_8
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (646), (647) imply:
% 74.99/11.53 | | | | (676) all_367_1 = all_355_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (676) implies:
% 74.99/11.53 | | | | (677) all_367_1 = all_355_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (629), (661) imply:
% 74.99/11.53 | | | | (678) all_307_1 = all_197_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (628), (661) imply:
% 74.99/11.53 | | | | (679) all_385_1 = all_307_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (679) implies:
% 74.99/11.53 | | | | (680) all_385_1 = all_307_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (627), (680) imply:
% 74.99/11.53 | | | | (681) all_307_1 = all_22_5
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (681) implies:
% 74.99/11.53 | | | | (682) all_307_1 = all_22_5
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (611), (612) imply:
% 74.99/11.53 | | | | (683) all_309_1 = all_279_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (683) implies:
% 74.99/11.53 | | | | (684) all_309_1 = all_279_0
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (645), (677) imply:
% 74.99/11.53 | | | | (685) all_355_1 = all_305_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (644), (677) imply:
% 74.99/11.53 | | | | (686) all_365_1 = all_355_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | SIMP: (686) implies:
% 74.99/11.53 | | | | (687) all_365_1 = all_355_1
% 74.99/11.53 | | | |
% 74.99/11.53 | | | | COMBINE_EQS: (642), (687) imply:
% 74.99/11.54 | | | | (688) all_355_1 = all_349_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (688) implies:
% 74.99/11.54 | | | | (689) all_355_1 = all_349_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (642), (643) imply:
% 74.99/11.54 | | | | (690) all_349_1 = all_347_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (621), (622) imply:
% 74.99/11.54 | | | | (691) all_315_0 = all_271_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (691) implies:
% 74.99/11.54 | | | | (692) all_315_0 = all_271_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (685), (689) imply:
% 74.99/11.54 | | | | (693) all_349_1 = all_305_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (693) implies:
% 74.99/11.54 | | | | (694) all_349_1 = all_305_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (668), (669) imply:
% 74.99/11.54 | | | | (695) all_319_1 = all_22_6
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (695) implies:
% 74.99/11.54 | | | | (696) all_319_1 = all_22_6
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (614), (671) imply:
% 74.99/11.54 | | | | (697) all_321_1 = all_139_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (697) implies:
% 74.99/11.54 | | | | (698) all_321_1 = all_139_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (690), (694) imply:
% 74.99/11.54 | | | | (699) all_347_1 = all_305_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (699) implies:
% 74.99/11.54 | | | | (700) all_347_1 = all_305_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (640), (700) imply:
% 74.99/11.54 | | | | (701) all_305_1 = all_301_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (641), (700) imply:
% 74.99/11.54 | | | | (702) all_305_1 = all_147_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (603), (604) imply:
% 74.99/11.54 | | | | (703) all_291_0 = all_22_9
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (662), (663) imply:
% 74.99/11.54 | | | | (704) all_201_0 = all_30_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (704) implies:
% 74.99/11.54 | | | | (705) all_201_0 = all_30_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (613), (698) imply:
% 74.99/11.54 | | | | (706) all_319_1 = all_139_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (706) implies:
% 74.99/11.54 | | | | (707) all_319_1 = all_139_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (696), (707) imply:
% 74.99/11.54 | | | | (708) all_139_0 = all_22_6
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (620), (692) imply:
% 74.99/11.54 | | | | (709) all_271_0 = all_34_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (608), (609) imply:
% 74.99/11.54 | | | | (710) all_309_1 = all_283_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (710) implies:
% 74.99/11.54 | | | | (711) all_309_1 = all_283_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (609), (610) imply:
% 74.99/11.54 | | | | (712) all_283_0 = all_22_9
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (684), (711) imply:
% 74.99/11.54 | | | | (713) all_283_0 = all_279_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (713) implies:
% 74.99/11.54 | | | | (714) all_283_0 = all_279_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (678), (682) imply:
% 74.99/11.54 | | | | (715) all_197_0 = all_22_5
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (715) implies:
% 74.99/11.54 | | | | (716) all_197_0 = all_22_5
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (701), (702) imply:
% 74.99/11.54 | | | | (717) all_301_1 = all_147_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (717) implies:
% 74.99/11.54 | | | | (718) all_301_1 = all_147_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (639), (718) imply:
% 74.99/11.54 | | | | (719) all_261_0 = all_147_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (719) implies:
% 74.99/11.54 | | | | (720) all_261_0 = all_147_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (665), (673) imply:
% 74.99/11.54 | | | | (721) all_281_0 = all_22_7
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (721) implies:
% 74.99/11.54 | | | | (722) all_281_0 = all_22_7
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (712), (714) imply:
% 74.99/11.54 | | | | (723) all_279_0 = all_22_9
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (594), (595) imply:
% 74.99/11.54 | | | | (724) all_243_0 = all_179_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (724) implies:
% 74.99/11.54 | | | | (725) all_243_0 = all_179_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (593), (725) imply:
% 74.99/11.54 | | | | (726) all_179_0 = all_163_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (598), (599) imply:
% 74.99/11.54 | | | | (727) all_131_0 = all_127_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (727) implies:
% 74.99/11.54 | | | | (728) all_131_0 = all_127_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (597), (728) imply:
% 74.99/11.54 | | | | (729) all_129_0 = all_127_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | SIMP: (729) implies:
% 74.99/11.54 | | | | (730) all_129_0 = all_127_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (596), (730) imply:
% 74.99/11.54 | | | | (731) all_127_0 = all_22_6
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (595), (726) imply:
% 74.99/11.54 | | | | (732) all_259_0 = all_163_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (698), (708) imply:
% 74.99/11.54 | | | | (733) all_321_1 = all_22_6
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | COMBINE_EQS: (612), (723) imply:
% 74.99/11.54 | | | | (734) all_373_0 = all_22_9
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (426), (709) imply:
% 74.99/11.54 | | | | (735) multiplication(all_34_0, all_22_9) = all_93_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (402), (705) imply:
% 74.99/11.54 | | | | (736) multiplication(all_30_0, all_22_7) = all_89_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (399), (716) imply:
% 74.99/11.54 | | | | (737) multiplication(all_22_5, all_22_2) = all_97_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (369), (653) imply:
% 74.99/11.54 | | | | (738) multiplication(all_22_7, all_32_0) = all_91_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (538), (617) imply:
% 74.99/11.54 | | | | (739) addition(all_22_6, all_407_0) = all_51_2
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (530), (652), (667) imply:
% 74.99/11.54 | | | | (740) addition(all_89_0, all_22_7) = all_30_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (523), (633), (674) imply:
% 74.99/11.54 | | | | (741) addition(all_99_0, all_22_8) = all_22_1
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (515), (659), (675) imply:
% 74.99/11.54 | | | | (742) addition(all_101_0, all_22_8) = all_22_3
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (504), (627) imply:
% 74.99/11.54 | | | | (743) addition(all_22_5, all_385_0) = all_99_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (499), (624), (734) imply:
% 74.99/11.54 | | | | (744) addition(all_93_0, all_22_9) = all_34_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (477), (641) imply:
% 74.99/11.54 | | | | (745) addition(all_147_0, all_347_0) = all_89_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (472), (607), (654) imply:
% 74.99/11.54 | | | | (746) addition(all_91_0, all_22_7) = all_32_0
% 74.99/11.54 | | | |
% 74.99/11.54 | | | | REDUCE: (468), (604), (656) imply:
% 74.99/11.54 | | | | (747) addition(all_87_0, all_22_9) = all_36_0
% 74.99/11.54 | | | |
% 74.99/11.55 | | | | REDUCE: (462), (733) imply:
% 74.99/11.55 | | | | (748) addition(all_22_6, all_321_0) = all_101_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (420), (732) imply:
% 74.99/11.55 | | | | (749) addition(all_163_0, all_83_0) = all_22_2
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (379), (602) imply:
% 74.99/11.55 | | | | (750) addition(all_141_0, all_99_0) = all_115_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (422), (720) imply:
% 74.99/11.55 | | | | (751) $i(all_147_0)
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_91_0, all_89_0, all_22_7,
% 74.99/11.55 | | | | all_30_0, simplifying with (205), (736) gives:
% 74.99/11.55 | | | | (752) all_91_0 = all_89_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_87_0, all_93_0, all_22_9,
% 74.99/11.55 | | | | all_34_0, simplifying with (193), (735) gives:
% 74.99/11.55 | | | | (753) all_93_0 = all_87_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (489), (753) imply:
% 74.99/11.55 | | | | (754) multiplication(all_87_0, all_22_8) = all_353_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (482), (752) imply:
% 74.99/11.55 | | | | (755) multiplication(all_22_7, all_89_0) = all_349_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (509), (752) imply:
% 74.99/11.55 | | | | (756) multiplication(all_22_8, all_89_0) = all_387_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (211), (753) imply:
% 74.99/11.55 | | | | (757) multiplication(all_22_9, all_36_0) = all_87_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (744), (753) imply:
% 74.99/11.55 | | | | (758) addition(all_87_0, all_22_9) = all_34_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (746), (752) imply:
% 74.99/11.55 | | | | (759) addition(all_89_0, all_22_7) = all_32_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (395), (752) imply:
% 74.99/11.55 | | | | (760) addition(all_89_0, one) = all_193_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (21) with all_36_0, all_34_0, all_22_9,
% 74.99/11.55 | | | | all_87_0, simplifying with (747), (758) gives:
% 74.99/11.55 | | | | (761) all_36_0 = all_34_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (21) with all_173_0, all_193_0, one,
% 74.99/11.55 | | | | all_89_0, simplifying with (381), (760) gives:
% 74.99/11.55 | | | | (762) all_193_0 = all_173_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (21) with all_30_0, all_32_0, all_22_7,
% 74.99/11.55 | | | | all_89_0, simplifying with (740), (759) gives:
% 74.99/11.55 | | | | (763) all_32_0 = all_30_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_307_0, all_387_0, all_89_0,
% 74.99/11.55 | | | | all_22_8, simplifying with (451), (756) gives:
% 74.99/11.55 | | | | (764) all_387_0 = all_307_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_389_0, all_349_0, all_89_0,
% 74.99/11.55 | | | | all_22_7, simplifying with (512), (755) gives:
% 74.99/11.55 | | | | (765) all_389_0 = all_349_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_321_0, all_353_0, all_22_8,
% 74.99/11.55 | | | | all_87_0, simplifying with (464), (754) gives:
% 74.99/11.55 | | | | (766) all_353_0 = all_321_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (233), (761) imply:
% 74.99/11.55 | | | | (767) multiplication(all_34_0, all_22_8) = all_101_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (164), (761) imply:
% 74.99/11.55 | | | | (768) multiplication(all_34_0, all_22_9) = all_75_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (183), (763) imply:
% 74.99/11.55 | | | | (769) multiplication(all_30_0, all_22_7) = all_83_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (199), (763) imply:
% 74.99/11.55 | | | | (770) multiplication(all_22_7, all_30_0) = all_89_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (227), (763) imply:
% 74.99/11.55 | | | | (771) multiplication(all_22_8, all_30_0) = all_99_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (757), (761) imply:
% 74.99/11.55 | | | | (772) multiplication(all_22_9, all_34_0) = all_87_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (487), (766) imply:
% 74.99/11.55 | | | | (773) $i(all_321_0)
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_77_0, all_87_0, all_34_0,
% 74.99/11.55 | | | | all_22_9, simplifying with (169), (772) gives:
% 74.99/11.55 | | | | (774) all_87_0 = all_77_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_97_0, all_99_0, all_30_0,
% 74.99/11.55 | | | | all_22_8, simplifying with (221), (771) gives:
% 74.99/11.55 | | | | (775) all_99_0 = all_97_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_79_0, all_89_0, all_30_0,
% 74.99/11.55 | | | | all_22_7, simplifying with (174), (770) gives:
% 74.99/11.55 | | | | (776) all_89_0 = all_79_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_89_0, all_83_0, all_22_7,
% 74.99/11.55 | | | | all_30_0, simplifying with (736), (769) gives:
% 74.99/11.55 | | | | (777) all_89_0 = all_83_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_87_0, all_75_0, all_22_9,
% 74.99/11.55 | | | | all_34_0, simplifying with (193), (768) gives:
% 74.99/11.55 | | | | (778) all_87_0 = all_75_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | GROUND_INST: instantiating (22) with all_95_0, all_101_0, all_22_8,
% 74.99/11.55 | | | | all_34_0, simplifying with (216), (767) gives:
% 74.99/11.55 | | | | (779) all_101_0 = all_95_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | COMBINE_EQS: (776), (777) imply:
% 74.99/11.55 | | | | (780) all_83_0 = all_79_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | COMBINE_EQS: (774), (778) imply:
% 74.99/11.55 | | | | (781) all_77_0 = all_75_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (464), (778) imply:
% 74.99/11.55 | | | | (782) multiplication(all_75_0, all_22_8) = all_321_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (485), (781) imply:
% 74.99/11.55 | | | | (783) multiplication(all_75_0, all_22_8) = all_351_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (755), (776) imply:
% 74.99/11.55 | | | | (784) multiplication(all_22_7, all_79_0) = all_349_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (479), (780) imply:
% 74.99/11.55 | | | | (785) multiplication(all_22_7, all_79_0) = all_347_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (451), (776) imply:
% 74.99/11.55 | | | | (786) multiplication(all_22_8, all_79_0) = all_307_0
% 74.99/11.55 | | | |
% 74.99/11.55 | | | | REDUCE: (506), (780) imply:
% 74.99/11.56 | | | | (787) multiplication(all_22_8, all_79_0) = all_385_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (535), (775) imply:
% 74.99/11.56 | | | | (788) multiplication(all_22_9, all_97_0) = all_405_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (749), (780) imply:
% 74.99/11.56 | | | | (789) addition(all_163_0, all_79_0) = all_22_2
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (745), (776) imply:
% 74.99/11.56 | | | | (790) addition(all_147_0, all_347_0) = all_79_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (750), (775) imply:
% 74.99/11.56 | | | | (791) addition(all_141_0, all_97_0) = all_115_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (742), (779) imply:
% 74.99/11.56 | | | | (792) addition(all_95_0, all_22_8) = all_22_3
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (376), (775) imply:
% 74.99/11.56 | | | | (793) addition(all_97_0, all_22_3) = all_169_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (741), (775) imply:
% 74.99/11.56 | | | | (794) addition(all_97_0, all_22_8) = all_22_1
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (381), (776) imply:
% 74.99/11.56 | | | | (795) addition(all_79_0, one) = all_173_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (404), (780) imply:
% 74.99/11.56 | | | | (796) addition(all_79_0, one) = all_205_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (743), (775) imply:
% 74.99/11.56 | | | | (797) addition(all_22_5, all_385_0) = all_97_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (748), (779) imply:
% 74.99/11.56 | | | | (798) addition(all_22_6, all_321_0) = all_95_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (577), (779) imply:
% 74.99/11.56 | | | | (799) addition(all_22_8, all_95_0) = all_22_3
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (576), (775) imply:
% 74.99/11.56 | | | | (800) addition(all_22_8, all_97_0) = all_22_1
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (21) with all_181_0, all_205_0, one,
% 74.99/11.56 | | | | all_79_0, simplifying with (389), (796) gives:
% 74.99/11.56 | | | | (801) all_205_0 = all_181_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (21) with all_173_0, all_205_0, one,
% 74.99/11.56 | | | | all_79_0, simplifying with (795), (796) gives:
% 74.99/11.56 | | | | (802) all_205_0 = all_173_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (21) with all_191_0, all_169_0, all_22_3,
% 74.99/11.56 | | | | all_97_0, simplifying with (393), (793) gives:
% 74.99/11.56 | | | | (803) all_191_0 = all_169_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_407_0, all_405_0, all_97_0,
% 74.99/11.56 | | | | all_22_9, simplifying with (540), (788) gives:
% 74.99/11.56 | | | | (804) all_407_0 = all_405_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_415_0, all_307_0, all_79_0,
% 74.99/11.56 | | | | all_22_8, simplifying with (549), (786) gives:
% 74.99/11.56 | | | | (805) all_415_0 = all_307_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_415_0, all_385_0, all_79_0,
% 74.99/11.56 | | | | all_22_8, simplifying with (549), (787) gives:
% 74.99/11.56 | | | | (806) all_415_0 = all_385_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_305_0, all_349_0, all_79_0,
% 74.99/11.56 | | | | all_22_7, simplifying with (448), (784) gives:
% 74.99/11.56 | | | | (807) all_349_0 = all_305_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_347_0, all_349_0, all_79_0,
% 74.99/11.56 | | | | all_22_7, simplifying with (784), (785) gives:
% 74.99/11.56 | | | | (808) all_349_0 = all_347_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_319_0, all_351_0, all_22_8,
% 74.99/11.56 | | | | all_75_0, simplifying with (460), (783) gives:
% 74.99/11.56 | | | | (809) all_351_0 = all_319_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | GROUND_INST: instantiating (22) with all_321_0, all_351_0, all_22_8,
% 74.99/11.56 | | | | all_75_0, simplifying with (782), (783) gives:
% 74.99/11.56 | | | | (810) all_351_0 = all_321_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | COMBINE_EQS: (805), (806) imply:
% 74.99/11.56 | | | | (811) all_385_0 = all_307_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | COMBINE_EQS: (809), (810) imply:
% 74.99/11.56 | | | | (812) all_321_0 = all_319_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | SIMP: (812) implies:
% 74.99/11.56 | | | | (813) all_321_0 = all_319_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | COMBINE_EQS: (807), (808) imply:
% 74.99/11.56 | | | | (814) all_347_0 = all_305_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | COMBINE_EQS: (801), (802) imply:
% 74.99/11.56 | | | | (815) all_181_0 = all_173_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (790), (814) imply:
% 74.99/11.56 | | | | (816) addition(all_147_0, all_305_0) = all_79_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (797), (811) imply:
% 74.99/11.56 | | | | (817) addition(all_22_5, all_307_0) = all_97_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (739), (804) imply:
% 74.99/11.56 | | | | (818) addition(all_22_6, all_405_0) = all_51_2
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (798), (813) imply:
% 74.99/11.56 | | | | (819) addition(all_22_6, all_319_0) = all_95_0
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (578), (815) imply:
% 74.99/11.56 | | | | (820) addition(all_22_7, all_173_0) = all_22_2
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (537), (804) imply:
% 74.99/11.56 | | | | (821) $i(all_405_0)
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (503), (811) imply:
% 74.99/11.56 | | | | (822) $i(all_307_0)
% 74.99/11.56 | | | |
% 74.99/11.56 | | | | REDUCE: (476), (814) imply:
% 75.18/11.56 | | | | (823) $i(all_305_0)
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | REDUCE: (773), (813) imply:
% 75.18/11.56 | | | | (824) $i(all_319_0)
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | REDUCE: (387), (815) imply:
% 75.18/11.56 | | | | (825) $i(all_173_0)
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | GROUND_INST: instantiating (1) with all_22_7, one, all_163_0,
% 75.18/11.56 | | | | simplifying with (15), (27), (592) gives:
% 75.18/11.56 | | | | (826) addition(all_22_7, one) = all_163_0 & $i(all_163_0)
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | ALPHA: (826) implies:
% 75.18/11.56 | | | | (827) $i(all_163_0)
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | GROUND_INST: instantiating (idempotence) with all_22_8, all_233_0,
% 75.18/11.56 | | | | simplifying with (26), (407) gives:
% 75.18/11.56 | | | | (828) all_233_0 = all_22_8
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | GROUND_INST: instantiating (2) with all_97_0, all_22_8, all_22_8,
% 75.18/11.56 | | | | all_22_1, all_251_0, simplifying with (26), (218), (417),
% 75.18/11.56 | | | | (800) gives:
% 75.18/11.56 | | | | (829) ? [v0: $i] : (addition(v0, all_97_0) = all_251_0 &
% 75.18/11.56 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_251_0))
% 75.18/11.56 | | | |
% 75.18/11.56 | | | | GROUND_INST: instantiating (1) with all_173_0, all_22_7, all_22_2,
% 75.18/11.56 | | | | simplifying with (27), (820), (825) gives:
% 75.18/11.56 | | | | (830) addition(all_173_0, all_22_7) = all_22_2 & $i(all_22_2)
% 75.18/11.56 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (10) with all_22_6, all_22_6, all_22_2,
% 75.18/11.57 | | | | all_22_6, all_51_2, simplifying with (28), (94), (247),
% 75.18/11.57 | | | | (588) gives:
% 75.18/11.57 | | | | (831) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_6, all_22_2)
% 75.18/11.57 | | | | = v1 & multiplication(all_22_6, all_22_2) = v0 & addition(v0,
% 75.18/11.57 | | | | v1) = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (1) with all_319_0, all_22_6, all_95_0,
% 75.18/11.57 | | | | simplifying with (28), (819), (824) gives:
% 75.18/11.57 | | | | (832) addition(all_319_0, all_22_6) = all_95_0 & $i(all_95_0)
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (1) with all_405_0, all_22_6, all_51_2,
% 75.18/11.57 | | | | simplifying with (28), (818), (821) gives:
% 75.18/11.57 | | | | (833) addition(all_405_0, all_22_6) = all_51_2 & $i(all_51_2)
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (1) with all_307_0, all_22_5, all_97_0,
% 75.18/11.57 | | | | simplifying with (29), (817), (822) gives:
% 75.18/11.57 | | | | (834) addition(all_307_0, all_22_5) = all_97_0 & $i(all_97_0)
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (3) with all_22_8, all_97_0, all_22_8,
% 75.18/11.57 | | | | all_22_1, all_143_0, simplifying with (26), (218), (584),
% 75.18/11.57 | | | | (800) gives:
% 75.18/11.57 | | | | (835) ? [v0: $i] : (addition(all_97_0, all_22_8) = v0 &
% 75.18/11.57 | | | | addition(all_22_8, v0) = all_143_0 & $i(v0) & $i(all_143_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (2) with all_97_0, all_22_8, all_51_2,
% 75.18/11.57 | | | | all_22_1, all_245_0, simplifying with (26), (85), (218),
% 75.18/11.57 | | | | (415), (800) gives:
% 75.18/11.57 | | | | (836) ? [v0: $i] : (addition(v0, all_97_0) = all_245_0 &
% 75.18/11.57 | | | | addition(all_51_2, all_22_8) = v0 & $i(v0) & $i(all_245_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (3) with all_22_8, all_22_8, all_51_2,
% 75.18/11.57 | | | | all_51_1, all_141_0, simplifying with (26), (85), (86),
% 75.18/11.57 | | | | (582) gives:
% 75.18/11.57 | | | | (837) ? [v0: $i] : (addition(all_51_2, v0) = all_141_0 &
% 75.18/11.57 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_141_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (3) with all_22_8, all_51_2, all_22_8,
% 75.18/11.57 | | | | all_51_1, all_141_0, simplifying with (26), (85), (117),
% 75.18/11.57 | | | | (582) gives:
% 75.18/11.57 | | | | (838) ? [v0: $i] : (addition(all_51_2, all_22_8) = v0 &
% 75.18/11.57 | | | | addition(all_22_8, v0) = all_141_0 & $i(v0) & $i(all_141_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (3) with all_22_8, all_22_8, all_95_0,
% 75.18/11.57 | | | | all_22_3, all_151_0, simplifying with (26), (213), (586),
% 75.18/11.57 | | | | (792) gives:
% 75.18/11.57 | | | | (839) ? [v0: $i] : (addition(all_95_0, v0) = all_151_0 &
% 75.18/11.57 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_151_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (2) with all_22_8, all_97_0, all_51_1,
% 75.18/11.57 | | | | all_22_1, all_115_0, simplifying with (26), (116), (218),
% 75.18/11.57 | | | | (239), (794) gives:
% 75.18/11.57 | | | | (840) ? [v0: $i] : (addition(v0, all_22_8) = all_115_0 &
% 75.18/11.57 | | | | addition(all_51_1, all_97_0) = v0 & $i(v0) & $i(all_115_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (2) with all_22_8, all_97_0, all_51_2,
% 75.18/11.57 | | | | all_22_1, all_245_0, simplifying with (26), (85), (218),
% 75.18/11.57 | | | | (415), (794) gives:
% 75.18/11.57 | | | | (841) ? [v0: $i] : (addition(v0, all_22_8) = all_245_0 &
% 75.18/11.57 | | | | addition(all_51_2, all_97_0) = v0 & $i(v0) & $i(all_245_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (3) with all_22_8, all_22_8, all_97_0,
% 75.18/11.57 | | | | all_22_1, all_143_0, simplifying with (26), (218), (584),
% 75.18/11.57 | | | | (794) gives:
% 75.18/11.57 | | | | (842) ? [v0: $i] : (addition(all_97_0, v0) = all_143_0 &
% 75.18/11.57 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_143_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (2) with all_95_0, all_22_8, all_97_0,
% 75.18/11.57 | | | | all_22_3, all_169_0, simplifying with (26), (213), (218),
% 75.18/11.57 | | | | (793), (799) gives:
% 75.18/11.57 | | | | (843) ? [v0: $i] : (addition(v0, all_95_0) = all_169_0 &
% 75.18/11.57 | | | | addition(all_97_0, all_22_8) = v0 & $i(v0) & $i(all_169_0))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (1) with all_305_0, all_147_0, all_79_0,
% 75.18/11.57 | | | | simplifying with (751), (816), (823) gives:
% 75.18/11.57 | | | | (844) addition(all_305_0, all_147_0) = all_79_0 & $i(all_79_0)
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (1) with all_79_0, all_163_0, all_22_2,
% 75.18/11.57 | | | | simplifying with (171), (789), (827) gives:
% 75.18/11.57 | | | | (845) addition(all_79_0, all_163_0) = all_22_2 & $i(all_22_2)
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (9) with all_22_9, all_22_8, all_233_0,
% 75.18/11.57 | | | | all_22_6, all_22_6, all_22_6, simplifying with (25), (26),
% 75.18/11.57 | | | | (32), (406), (569), (588) gives:
% 75.18/11.57 | | | | (846) ? [v0: $i] : (multiplication(all_22_9, v0) = all_22_6 &
% 75.18/11.57 | | | | addition(all_22_8, all_233_0) = v0 & $i(v0) & $i(all_22_6))
% 75.18/11.57 | | | |
% 75.18/11.57 | | | | GROUND_INST: instantiating (9) with all_22_9, all_233_0, all_22_8,
% 75.18/11.57 | | | | all_22_6, all_22_6, all_22_6, simplifying with (25), (26),
% 75.18/11.57 | | | | (32), (406), (569), (588) gives:
% 75.18/11.58 | | | | (847) ? [v0: $i] : (multiplication(all_22_9, v0) = all_22_6 &
% 75.18/11.58 | | | | addition(all_233_0, all_22_8) = v0 & $i(v0) & $i(all_22_6))
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | GROUND_INST: instantiating (9) with all_22_9, all_233_0, all_233_0,
% 75.18/11.58 | | | | all_22_6, all_22_6, all_22_6, simplifying with (25), (406),
% 75.18/11.58 | | | | (569), (588) gives:
% 75.18/11.58 | | | | (848) ? [v0: $i] : (multiplication(all_22_9, v0) = all_22_6 &
% 75.18/11.58 | | | | addition(all_233_0, all_233_0) = v0 & $i(v0) & $i(all_22_6))
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | GROUND_INST: instantiating (11) with all_22_8, all_22_8, one, all_22_8,
% 75.18/11.58 | | | | all_22_8, all_233_0, simplifying with (15), (26), (407),
% 75.18/11.58 | | | | (568) gives:
% 75.18/11.58 | | | | (849) ? [v0: $i] : (multiplication(v0, one) = all_233_0 &
% 75.18/11.58 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_233_0))
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | GROUND_INST: instantiating (10) with all_22_5, all_22_6, all_22_2,
% 75.18/11.58 | | | | all_22_5, all_97_0, simplifying with (28), (29), (94),
% 75.18/11.58 | | | | (104), (737) gives:
% 75.18/11.58 | | | | (850) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_5, all_22_2)
% 75.18/11.58 | | | | = v0 & multiplication(all_22_6, all_22_2) = v1 & addition(v0,
% 75.18/11.58 | | | | v1) = all_97_0 & $i(v1) & $i(v0) & $i(all_97_0))
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | GROUND_INST: instantiating (10) with all_22_6, all_22_5, all_22_2,
% 75.18/11.58 | | | | all_22_5, all_97_0, simplifying with (28), (29), (46),
% 75.18/11.58 | | | | (94), (737) gives:
% 75.18/11.58 | | | | (851) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_5, all_22_2)
% 75.18/11.58 | | | | = v1 & multiplication(all_22_6, all_22_2) = v0 & addition(v0,
% 75.18/11.58 | | | | v1) = all_97_0 & $i(v1) & $i(v0) & $i(all_97_0))
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | GROUND_INST: instantiating (9) with all_237_0, all_22_8, all_22_8,
% 75.18/11.58 | | | | all_22_6, all_22_6, all_22_6, simplifying with (26), (410),
% 75.18/11.58 | | | | (550), (588) gives:
% 75.18/11.58 | | | | (852) ? [v0: $i] : (multiplication(all_237_0, v0) = all_22_6 &
% 75.18/11.58 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_22_6))
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (843) with fresh symbol all_565_0 gives:
% 75.18/11.58 | | | | (853) addition(all_565_0, all_95_0) = all_169_0 & addition(all_97_0,
% 75.18/11.58 | | | | all_22_8) = all_565_0 & $i(all_565_0) & $i(all_169_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (853) implies:
% 75.18/11.58 | | | | (854) addition(all_97_0, all_22_8) = all_565_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (848) with fresh symbol all_635_0 gives:
% 75.18/11.58 | | | | (855) multiplication(all_22_9, all_635_0) = all_22_6 &
% 75.18/11.58 | | | | addition(all_233_0, all_233_0) = all_635_0 & $i(all_635_0) &
% 75.18/11.58 | | | | $i(all_22_6)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (855) implies:
% 75.18/11.58 | | | | (856) addition(all_233_0, all_233_0) = all_635_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (847) with fresh symbol all_655_0 gives:
% 75.18/11.58 | | | | (857) multiplication(all_22_9, all_655_0) = all_22_6 &
% 75.18/11.58 | | | | addition(all_233_0, all_22_8) = all_655_0 & $i(all_655_0) &
% 75.18/11.58 | | | | $i(all_22_6)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (857) implies:
% 75.18/11.58 | | | | (858) addition(all_233_0, all_22_8) = all_655_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (846) with fresh symbol all_657_0 gives:
% 75.18/11.58 | | | | (859) multiplication(all_22_9, all_657_0) = all_22_6 &
% 75.18/11.58 | | | | addition(all_22_8, all_233_0) = all_657_0 & $i(all_657_0) &
% 75.18/11.58 | | | | $i(all_22_6)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (859) implies:
% 75.18/11.58 | | | | (860) addition(all_22_8, all_233_0) = all_657_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (839) with fresh symbol all_721_0 gives:
% 75.18/11.58 | | | | (861) addition(all_95_0, all_721_0) = all_151_0 & addition(all_22_8,
% 75.18/11.58 | | | | all_22_8) = all_721_0 & $i(all_721_0) & $i(all_151_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (861) implies:
% 75.18/11.58 | | | | (862) addition(all_22_8, all_22_8) = all_721_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (835) with fresh symbol all_731_0 gives:
% 75.18/11.58 | | | | (863) addition(all_97_0, all_22_8) = all_731_0 & addition(all_22_8,
% 75.18/11.58 | | | | all_731_0) = all_143_0 & $i(all_731_0) & $i(all_143_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (863) implies:
% 75.18/11.58 | | | | (864) addition(all_97_0, all_22_8) = all_731_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (836) with fresh symbol all_769_0 gives:
% 75.18/11.58 | | | | (865) addition(all_769_0, all_97_0) = all_245_0 & addition(all_51_2,
% 75.18/11.58 | | | | all_22_8) = all_769_0 & $i(all_769_0) & $i(all_245_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (865) implies:
% 75.18/11.58 | | | | (866) addition(all_51_2, all_22_8) = all_769_0
% 75.18/11.58 | | | | (867) addition(all_769_0, all_97_0) = all_245_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (840) with fresh symbol all_799_0 gives:
% 75.18/11.58 | | | | (868) addition(all_799_0, all_22_8) = all_115_0 & addition(all_51_1,
% 75.18/11.58 | | | | all_97_0) = all_799_0 & $i(all_799_0) & $i(all_115_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (868) implies:
% 75.18/11.58 | | | | (869) addition(all_51_1, all_97_0) = all_799_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (829) with fresh symbol all_993_0 gives:
% 75.18/11.58 | | | | (870) addition(all_993_0, all_97_0) = all_251_0 & addition(all_22_8,
% 75.18/11.58 | | | | all_22_8) = all_993_0 & $i(all_993_0) & $i(all_251_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (870) implies:
% 75.18/11.58 | | | | (871) addition(all_22_8, all_22_8) = all_993_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (838) with fresh symbol all_1051_0 gives:
% 75.18/11.58 | | | | (872) addition(all_51_2, all_22_8) = all_1051_0 & addition(all_22_8,
% 75.18/11.58 | | | | all_1051_0) = all_141_0 & $i(all_1051_0) & $i(all_141_0)
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | ALPHA: (872) implies:
% 75.18/11.58 | | | | (873) addition(all_51_2, all_22_8) = all_1051_0
% 75.18/11.58 | | | |
% 75.18/11.58 | | | | DELTA: instantiating (837) with fresh symbol all_1053_0 gives:
% 75.18/11.59 | | | | (874) addition(all_51_2, all_1053_0) = all_141_0 & addition(all_22_8,
% 75.18/11.59 | | | | all_22_8) = all_1053_0 & $i(all_1053_0) & $i(all_141_0)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (874) implies:
% 75.18/11.59 | | | | (875) addition(all_22_8, all_22_8) = all_1053_0
% 75.18/11.59 | | | | (876) addition(all_51_2, all_1053_0) = all_141_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (842) with fresh symbol all_1121_0 gives:
% 75.18/11.59 | | | | (877) addition(all_97_0, all_1121_0) = all_143_0 & addition(all_22_8,
% 75.18/11.59 | | | | all_22_8) = all_1121_0 & $i(all_1121_0) & $i(all_143_0)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (877) implies:
% 75.18/11.59 | | | | (878) addition(all_22_8, all_22_8) = all_1121_0
% 75.18/11.59 | | | | (879) addition(all_97_0, all_1121_0) = all_143_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (852) with fresh symbol all_1133_0 gives:
% 75.18/11.59 | | | | (880) multiplication(all_237_0, all_1133_0) = all_22_6 &
% 75.18/11.59 | | | | addition(all_22_8, all_22_8) = all_1133_0 & $i(all_1133_0) &
% 75.18/11.59 | | | | $i(all_22_6)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (880) implies:
% 75.18/11.59 | | | | (881) addition(all_22_8, all_22_8) = all_1133_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (841) with fresh symbol all_1163_0 gives:
% 75.18/11.59 | | | | (882) addition(all_1163_0, all_22_8) = all_245_0 & addition(all_51_2,
% 75.18/11.59 | | | | all_97_0) = all_1163_0 & $i(all_1163_0) & $i(all_245_0)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (882) implies:
% 75.18/11.59 | | | | (883) addition(all_51_2, all_97_0) = all_1163_0
% 75.18/11.59 | | | | (884) addition(all_1163_0, all_22_8) = all_245_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (849) with fresh symbol all_1243_0 gives:
% 75.18/11.59 | | | | (885) multiplication(all_1243_0, one) = all_233_0 &
% 75.18/11.59 | | | | addition(all_22_8, all_22_8) = all_1243_0 & $i(all_1243_0) &
% 75.18/11.59 | | | | $i(all_233_0)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (885) implies:
% 75.18/11.59 | | | | (886) addition(all_22_8, all_22_8) = all_1243_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (851) with fresh symbols all_1445_0, all_1445_1
% 75.18/11.59 | | | | gives:
% 75.18/11.59 | | | | (887) multiplication(all_22_5, all_22_2) = all_1445_0 &
% 75.18/11.59 | | | | multiplication(all_22_6, all_22_2) = all_1445_1 &
% 75.18/11.59 | | | | addition(all_1445_1, all_1445_0) = all_97_0 & $i(all_1445_0) &
% 75.18/11.59 | | | | $i(all_1445_1) & $i(all_97_0)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (887) implies:
% 75.18/11.59 | | | | (888) addition(all_1445_1, all_1445_0) = all_97_0
% 75.18/11.59 | | | | (889) multiplication(all_22_6, all_22_2) = all_1445_1
% 75.18/11.59 | | | | (890) multiplication(all_22_5, all_22_2) = all_1445_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (850) with fresh symbols all_1555_0, all_1555_1
% 75.18/11.59 | | | | gives:
% 75.18/11.59 | | | | (891) multiplication(all_22_5, all_22_2) = all_1555_1 &
% 75.18/11.59 | | | | multiplication(all_22_6, all_22_2) = all_1555_0 &
% 75.18/11.59 | | | | addition(all_1555_1, all_1555_0) = all_97_0 & $i(all_1555_0) &
% 75.18/11.59 | | | | $i(all_1555_1) & $i(all_97_0)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (891) implies:
% 75.18/11.59 | | | | (892) multiplication(all_22_5, all_22_2) = all_1555_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | DELTA: instantiating (831) with fresh symbols all_1641_0, all_1641_1
% 75.18/11.59 | | | | gives:
% 75.18/11.59 | | | | (893) multiplication(all_22_6, all_22_2) = all_1641_0 &
% 75.18/11.59 | | | | multiplication(all_22_6, all_22_2) = all_1641_1 &
% 75.18/11.59 | | | | addition(all_1641_1, all_1641_0) = all_51_2 & $i(all_1641_0) &
% 75.18/11.59 | | | | $i(all_1641_1) & $i(all_51_2)
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | ALPHA: (893) implies:
% 75.18/11.59 | | | | (894) multiplication(all_22_6, all_22_2) = all_1641_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | REDUCE: (828), (856) imply:
% 75.18/11.59 | | | | (895) addition(all_22_8, all_22_8) = all_635_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | REDUCE: (828), (858) imply:
% 75.18/11.59 | | | | (896) addition(all_22_8, all_22_8) = all_655_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | REDUCE: (828), (860) imply:
% 75.18/11.59 | | | | (897) addition(all_22_8, all_22_8) = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | REDUCE: (407), (828) imply:
% 75.18/11.59 | | | | (898) addition(all_22_8, all_22_8) = all_22_8
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_22_8, all_655_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (896), (898) gives:
% 75.18/11.59 | | | | (899) all_655_0 = all_22_8
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_655_0, all_721_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (862), (896) gives:
% 75.18/11.59 | | | | (900) all_721_0 = all_655_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_635_0, all_721_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (862), (895) gives:
% 75.18/11.59 | | | | (901) all_721_0 = all_635_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_1053_0, all_1121_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (875), (878) gives:
% 75.18/11.59 | | | | (902) all_1121_0 = all_1053_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_1121_0, all_1133_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (878), (881) gives:
% 75.18/11.59 | | | | (903) all_1133_0 = all_1121_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_657_0, all_1133_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (881), (897) gives:
% 75.18/11.59 | | | | (904) all_1133_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_1053_0, all_1243_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (875), (886) gives:
% 75.18/11.59 | | | | (905) all_1243_0 = all_1053_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_993_0, all_1243_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (871), (886) gives:
% 75.18/11.59 | | | | (906) all_1243_0 = all_993_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_721_0, all_1243_0, all_22_8,
% 75.18/11.59 | | | | all_22_8, simplifying with (862), (886) gives:
% 75.18/11.59 | | | | (907) all_1243_0 = all_721_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_51_1, all_1051_0, all_22_8,
% 75.18/11.59 | | | | all_51_2, simplifying with (86), (873) gives:
% 75.18/11.59 | | | | (908) all_1051_0 = all_51_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_769_0, all_1051_0, all_22_8,
% 75.18/11.59 | | | | all_51_2, simplifying with (866), (873) gives:
% 75.18/11.59 | | | | (909) all_1051_0 = all_769_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_22_1, all_731_0, all_22_8,
% 75.18/11.59 | | | | all_97_0, simplifying with (794), (864) gives:
% 75.18/11.59 | | | | (910) all_731_0 = all_22_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (21) with all_565_0, all_731_0, all_22_8,
% 75.18/11.59 | | | | all_97_0, simplifying with (854), (864) gives:
% 75.18/11.59 | | | | (911) all_731_0 = all_565_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (22) with all_51_2, all_1641_1, all_22_2,
% 75.18/11.59 | | | | all_22_6, simplifying with (247), (894) gives:
% 75.18/11.59 | | | | (912) all_1641_1 = all_51_2
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (22) with all_1445_1, all_1641_1, all_22_2,
% 75.18/11.59 | | | | all_22_6, simplifying with (889), (894) gives:
% 75.18/11.59 | | | | (913) all_1641_1 = all_1445_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (22) with all_97_0, all_1555_1, all_22_2,
% 75.18/11.59 | | | | all_22_5, simplifying with (737), (892) gives:
% 75.18/11.59 | | | | (914) all_1555_1 = all_97_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | GROUND_INST: instantiating (22) with all_1445_0, all_1555_1, all_22_2,
% 75.18/11.59 | | | | all_22_5, simplifying with (890), (892) gives:
% 75.18/11.59 | | | | (915) all_1555_1 = all_1445_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (912), (913) imply:
% 75.18/11.59 | | | | (916) all_1445_1 = all_51_2
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (914), (915) imply:
% 75.18/11.59 | | | | (917) all_1445_0 = all_97_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (917) implies:
% 75.18/11.59 | | | | (918) all_1445_0 = all_97_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (906), (907) imply:
% 75.18/11.59 | | | | (919) all_993_0 = all_721_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (905), (906) imply:
% 75.18/11.59 | | | | (920) all_1053_0 = all_993_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (920) implies:
% 75.18/11.59 | | | | (921) all_1053_0 = all_993_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (903), (904) imply:
% 75.18/11.59 | | | | (922) all_1121_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (922) implies:
% 75.18/11.59 | | | | (923) all_1121_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (902), (923) imply:
% 75.18/11.59 | | | | (924) all_1053_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (924) implies:
% 75.18/11.59 | | | | (925) all_1053_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (921), (925) imply:
% 75.18/11.59 | | | | (926) all_993_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (926) implies:
% 75.18/11.59 | | | | (927) all_993_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (908), (909) imply:
% 75.18/11.59 | | | | (928) all_769_0 = all_51_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (928) implies:
% 75.18/11.59 | | | | (929) all_769_0 = all_51_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (919), (927) imply:
% 75.18/11.59 | | | | (930) all_721_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (930) implies:
% 75.18/11.59 | | | | (931) all_721_0 = all_657_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (910), (911) imply:
% 75.18/11.59 | | | | (932) all_565_0 = all_22_1
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (900), (931) imply:
% 75.18/11.59 | | | | (933) all_657_0 = all_655_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (901), (931) imply:
% 75.18/11.59 | | | | (934) all_657_0 = all_635_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (933), (934) imply:
% 75.18/11.59 | | | | (935) all_655_0 = all_635_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | SIMP: (935) implies:
% 75.18/11.59 | | | | (936) all_655_0 = all_635_0
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (899), (936) imply:
% 75.18/11.59 | | | | (937) all_635_0 = all_22_8
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (934), (937) imply:
% 75.18/11.59 | | | | (938) all_657_0 = all_22_8
% 75.18/11.59 | | | |
% 75.18/11.59 | | | | COMBINE_EQS: (925), (938) imply:
% 75.18/11.60 | | | | (939) all_1053_0 = all_22_8
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | COMBINE_EQS: (923), (938) imply:
% 75.18/11.60 | | | | (940) all_1121_0 = all_22_8
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (888), (916), (918) imply:
% 75.18/11.60 | | | | (941) addition(all_51_2, all_97_0) = all_97_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (867), (929) imply:
% 75.18/11.60 | | | | (942) addition(all_51_1, all_97_0) = all_245_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (879), (940) imply:
% 75.18/11.60 | | | | (943) addition(all_97_0, all_22_8) = all_143_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (876), (939) imply:
% 75.18/11.60 | | | | (944) addition(all_51_2, all_22_8) = all_141_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | GROUND_INST: instantiating (21) with all_51_1, all_141_0, all_22_8,
% 75.18/11.60 | | | | all_51_2, simplifying with (86), (944) gives:
% 75.18/11.60 | | | | (945) all_141_0 = all_51_1
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | GROUND_INST: instantiating (21) with all_1163_0, all_97_0, all_97_0,
% 75.18/11.60 | | | | all_51_2, simplifying with (883), (941) gives:
% 75.18/11.60 | | | | (946) all_1163_0 = all_97_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | GROUND_INST: instantiating (21) with all_799_0, all_245_0, all_97_0,
% 75.18/11.60 | | | | all_51_1, simplifying with (869), (942) gives:
% 75.18/11.60 | | | | (947) all_799_0 = all_245_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | GROUND_INST: instantiating (21) with all_22_1, all_143_0, all_22_8,
% 75.18/11.60 | | | | all_97_0, simplifying with (794), (943) gives:
% 75.18/11.60 | | | | (948) all_143_0 = all_22_1
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (884), (946) imply:
% 75.18/11.60 | | | | (949) addition(all_97_0, all_22_8) = all_245_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (791), (945) imply:
% 75.18/11.60 | | | | (950) addition(all_51_1, all_97_0) = all_115_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | GROUND_INST: instantiating (21) with all_245_0, all_115_0, all_97_0,
% 75.18/11.60 | | | | all_51_1, simplifying with (942), (950) gives:
% 75.18/11.60 | | | | (951) all_245_0 = all_115_0
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | GROUND_INST: instantiating (21) with all_22_1, all_245_0, all_22_8,
% 75.18/11.60 | | | | all_97_0, simplifying with (794), (949) gives:
% 75.18/11.60 | | | | (952) all_245_0 = all_22_1
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | COMBINE_EQS: (951), (952) imply:
% 75.18/11.60 | | | | (953) all_115_0 = all_22_1
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | SIMP: (953) implies:
% 75.18/11.60 | | | | (954) all_115_0 = all_22_1
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | REDUCE: (238), (954) imply:
% 75.18/11.60 | | | | (955) $false
% 75.18/11.60 | | | |
% 75.18/11.60 | | | | CLOSE: (955) is inconsistent.
% 75.18/11.60 | | | |
% 75.18/11.61 | | | End of split
% 75.18/11.61 | | |
% 75.18/11.61 | | End of split
% 75.18/11.61 | |
% 75.18/11.61 | End of split
% 75.18/11.61 |
% 75.18/11.61 End of proof
% 75.18/11.62 % SZS output end Proof for theBenchmark
% 75.18/11.62
% 75.18/11.62 11015ms
%------------------------------------------------------------------------------