TSTP Solution File: NUM376+1.015 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n007.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 11:47:23 EDT 2023
% Result : Unsatisfiable 24.16s 4.07s
% Output : Proof 53.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n007.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 14:50:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.88/1.36 Prover 4: Preprocessing ...
% 3.88/1.36 Prover 1: Preprocessing ...
% 4.64/1.40 Prover 5: Preprocessing ...
% 4.64/1.40 Prover 0: Preprocessing ...
% 4.64/1.41 Prover 2: Preprocessing ...
% 4.64/1.41 Prover 3: Preprocessing ...
% 4.64/1.41 Prover 6: Preprocessing ...
% 8.12/1.96 Prover 2: Constructing countermodel ...
% 8.12/1.97 Prover 5: Constructing countermodel ...
% 8.12/1.97 Prover 1: Constructing countermodel ...
% 8.12/1.98 Prover 4: Constructing countermodel ...
% 8.12/1.98 Prover 0: Constructing countermodel ...
% 8.12/1.98 Prover 3: Constructing countermodel ...
% 8.12/1.99 Prover 6: Constructing countermodel ...
% 24.16/4.06 Prover 3: proved (3426ms)
% 24.16/4.07
% 24.16/4.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.16/4.07
% 24.16/4.07 Prover 5: stopped
% 24.16/4.08 Prover 0: stopped
% 24.16/4.09 Prover 6: stopped
% 24.16/4.10 Prover 2: stopped
% 24.16/4.11 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 24.16/4.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 24.16/4.11 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 24.16/4.11 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 24.16/4.11 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 25.37/4.24 Prover 7: Preprocessing ...
% 25.37/4.28 Prover 13: Preprocessing ...
% 25.37/4.28 Prover 11: Preprocessing ...
% 26.12/4.29 Prover 8: Preprocessing ...
% 26.12/4.32 Prover 10: Preprocessing ...
% 26.72/4.37 Prover 11: Constructing countermodel ...
% 26.82/4.39 Prover 7: Constructing countermodel ...
% 26.82/4.40 Prover 8: Constructing countermodel ...
% 27.06/4.42 Prover 13: Constructing countermodel ...
% 27.23/4.47 Prover 10: Constructing countermodel ...
% 48.11/7.25 Prover 4: Found proof (size 4791)
% 48.11/7.25 Prover 4: proved (6612ms)
% 48.11/7.26 Prover 13: stopped
% 48.11/7.26 Prover 1: stopped
% 48.11/7.26 Prover 11: stopped
% 48.11/7.26 Prover 8: stopped
% 48.11/7.26 Prover 7: stopped
% 48.11/7.26 Prover 10: stopped
% 48.11/7.26
% 48.11/7.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.11/7.26
% 49.33/7.40 % SZS output start Proof for theBenchmark
% 49.45/7.42 Assumptions after simplification:
% 49.45/7.42 ---------------------------------
% 49.45/7.42
% 49.45/7.43 (try_satisfy_this)
% 49.45/7.50 $i(n15) & $i(n14) & $i(n13) & $i(n12) & $i(n11) & $i(n10) & $i(n9) & $i(n8) &
% 49.45/7.50 $i(n7) & $i(n6) & $i(n5) & $i(n4) & $i(n3) & $i(n2) & $i(n1) & $i(n0) & ?
% 49.45/7.50 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 49.45/7.50 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 49.45/7.50 [v11: $i] : ( ~ (v11 = v8) & ~ (n15 = n14) & ~ (n15 = n13) & ~ (n15 = n12)
% 49.45/7.50 & ~ (n15 = n11) & ~ (n15 = n10) & ~ (n15 = n9) & ~ (n15 = n8) & ~ (n15
% 49.45/7.50 = n7) & ~ (n15 = n6) & ~ (n15 = n5) & ~ (n15 = n4) & ~ (n15 = n3) & ~
% 49.45/7.50 (n15 = n2) & ~ (n15 = n1) & ~ (n15 = n0) & ~ (n14 = n13) & ~ (n14 = n12)
% 49.45/7.50 & ~ (n14 = n11) & ~ (n14 = n10) & ~ (n14 = n9) & ~ (n14 = n8) & ~ (n14
% 49.45/7.50 = n7) & ~ (n14 = n6) & ~ (n14 = n5) & ~ (n14 = n4) & ~ (n14 = n3) & ~
% 49.45/7.50 (n14 = n2) & ~ (n14 = n1) & ~ (n14 = n0) & ~ (n13 = n12) & ~ (n13 = n11)
% 49.45/7.50 & ~ (n13 = n10) & ~ (n13 = n9) & ~ (n13 = n8) & ~ (n13 = n7) & ~ (n13 =
% 49.45/7.50 n6) & ~ (n13 = n5) & ~ (n13 = n4) & ~ (n13 = n3) & ~ (n13 = n2) & ~
% 49.45/7.50 (n13 = n1) & ~ (n13 = n0) & ~ (n12 = n11) & ~ (n12 = n10) & ~ (n12 = n9)
% 49.45/7.50 & ~ (n12 = n8) & ~ (n12 = n7) & ~ (n12 = n6) & ~ (n12 = n5) & ~ (n12 =
% 49.45/7.50 n4) & ~ (n12 = n3) & ~ (n12 = n2) & ~ (n12 = n1) & ~ (n12 = n0) & ~
% 49.45/7.50 (n11 = n10) & ~ (n11 = n9) & ~ (n11 = n8) & ~ (n11 = n7) & ~ (n11 = n6)
% 49.45/7.50 & ~ (n11 = n5) & ~ (n11 = n4) & ~ (n11 = n3) & ~ (n11 = n2) & ~ (n11 =
% 49.45/7.50 n1) & ~ (n11 = n0) & ~ (n10 = n9) & ~ (n10 = n8) & ~ (n10 = n7) & ~
% 49.45/7.50 (n10 = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = n3) & ~ (n10 = n2) &
% 49.45/7.50 ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9 = n7) & ~ (n9 = n6) &
% 49.45/7.50 ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ (n9 = n2) & ~ (n9 = n1) &
% 49.45/7.50 ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) & ~ (n8 = n5) & ~ (n8 = n4) & ~
% 49.45/7.50 (n8 = n3) & ~ (n8 = n2) & ~ (n8 = n1) & ~ (n8 = n0) & ~ (n7 = n6) & ~
% 49.45/7.50 (n7 = n5) & ~ (n7 = n4) & ~ (n7 = n3) & ~ (n7 = n2) & ~ (n7 = n1) & ~
% 49.45/7.50 (n7 = n0) & ~ (n6 = n5) & ~ (n6 = n4) & ~ (n6 = n3) & ~ (n6 = n2) & ~
% 49.45/7.50 (n6 = n1) & ~ (n6 = n0) & ~ (n5 = n4) & ~ (n5 = n3) & ~ (n5 = n2) & ~
% 49.45/7.50 (n5 = n1) & ~ (n5 = n0) & ~ (n4 = n3) & ~ (n4 = n2) & ~ (n4 = n1) & ~
% 49.45/7.50 (n4 = n0) & ~ (n3 = n2) & ~ (n3 = n1) & ~ (n3 = n0) & ~ (n2 = n1) & ~
% 49.45/7.50 (n2 = n0) & ~ (n1 = n0) & pred(v1) = v5 & pred(v0) = v2 & pred(n15) = n14 &
% 49.45/7.50 pred(n14) = n13 & pred(n13) = n12 & pred(n12) = n11 & pred(n11) = n10 &
% 49.45/7.50 pred(n10) = n9 & pred(n9) = n8 & pred(n8) = n7 & pred(n7) = n6 & pred(n6) =
% 49.45/7.50 n5 & pred(n5) = n4 & pred(n4) = n3 & pred(n3) = n2 & pred(n2) = n1 &
% 49.45/7.50 pred(n1) = n0 & pred(n0) = n15 & succ(v1) = v3 & succ(v0) = v6 & succ(n15) =
% 49.45/7.50 n0 & succ(n14) = n15 & succ(n13) = n14 & succ(n12) = n13 & succ(n11) = n12 &
% 49.45/7.50 succ(n10) = n11 & succ(n9) = n10 & succ(n8) = n9 & succ(n7) = n8 & succ(n6)
% 49.45/7.50 = n7 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 &
% 49.45/7.50 succ(n1) = n2 & succ(n0) = n1 & sum(v9, v10) = v11 & sum(v5, v6) = v7 &
% 49.45/7.50 sum(v5, v3) = v10 & sum(v4, v7) = v8 & sum(v2, v6) = v9 & sum(v2, v3) = v4 &
% 49.45/7.50 sum(n15, n15) = n14 & sum(n15, n14) = n13 & sum(n15, n13) = n12 & sum(n15,
% 49.45/7.50 n12) = n11 & sum(n15, n11) = n10 & sum(n15, n10) = n9 & sum(n15, n9) = n8
% 49.45/7.50 & sum(n15, n8) = n7 & sum(n15, n7) = n6 & sum(n15, n6) = n5 & sum(n15, n5) =
% 49.45/7.50 n4 & sum(n15, n4) = n3 & sum(n15, n3) = n2 & sum(n15, n2) = n1 & sum(n15,
% 49.45/7.50 n1) = n0 & sum(n15, n0) = n15 & sum(n14, n15) = n13 & sum(n14, n14) = n12
% 49.45/7.50 & sum(n14, n13) = n11 & sum(n14, n12) = n10 & sum(n14, n11) = n9 & sum(n14,
% 49.45/7.50 n10) = n8 & sum(n14, n9) = n7 & sum(n14, n8) = n6 & sum(n14, n7) = n5 &
% 49.45/7.50 sum(n14, n6) = n4 & sum(n14, n5) = n3 & sum(n14, n4) = n2 & sum(n14, n3) =
% 49.45/7.50 n1 & sum(n14, n2) = n0 & sum(n14, n1) = n15 & sum(n14, n0) = n14 & sum(n13,
% 49.45/7.50 n15) = n12 & sum(n13, n14) = n11 & sum(n13, n13) = n10 & sum(n13, n12) =
% 49.45/7.50 n9 & sum(n13, n11) = n8 & sum(n13, n10) = n7 & sum(n13, n9) = n6 & sum(n13,
% 49.45/7.50 n8) = n5 & sum(n13, n7) = n4 & sum(n13, n6) = n3 & sum(n13, n5) = n2 &
% 49.45/7.50 sum(n13, n4) = n1 & sum(n13, n3) = n0 & sum(n13, n2) = n15 & sum(n13, n1) =
% 49.45/7.50 n14 & sum(n13, n0) = n13 & sum(n12, n15) = n11 & sum(n12, n14) = n10 &
% 49.45/7.50 sum(n12, n13) = n9 & sum(n12, n12) = n8 & sum(n12, n11) = n7 & sum(n12, n10)
% 49.45/7.50 = n6 & sum(n12, n9) = n5 & sum(n12, n8) = n4 & sum(n12, n7) = n3 & sum(n12,
% 49.45/7.50 n6) = n2 & sum(n12, n5) = n1 & sum(n12, n4) = n0 & sum(n12, n3) = n15 &
% 49.45/7.50 sum(n12, n2) = n14 & sum(n12, n1) = n13 & sum(n12, n0) = n12 & sum(n11, n15)
% 49.45/7.50 = n10 & sum(n11, n14) = n9 & sum(n11, n13) = n8 & sum(n11, n12) = n7 &
% 49.45/7.50 sum(n11, n11) = n6 & sum(n11, n10) = n5 & sum(n11, n9) = n4 & sum(n11, n8) =
% 49.45/7.50 n3 & sum(n11, n7) = n2 & sum(n11, n6) = n1 & sum(n11, n5) = n0 & sum(n11,
% 49.45/7.50 n4) = n15 & sum(n11, n3) = n14 & sum(n11, n2) = n13 & sum(n11, n1) = n12 &
% 49.45/7.50 sum(n11, n0) = n11 & sum(n10, n15) = n9 & sum(n10, n14) = n8 & sum(n10, n13)
% 49.45/7.50 = n7 & sum(n10, n12) = n6 & sum(n10, n11) = n5 & sum(n10, n10) = n4 &
% 49.45/7.50 sum(n10, n9) = n3 & sum(n10, n8) = n2 & sum(n10, n7) = n1 & sum(n10, n6) =
% 49.45/7.50 n0 & sum(n10, n5) = n15 & sum(n10, n4) = n14 & sum(n10, n3) = n13 & sum(n10,
% 49.45/7.50 n2) = n12 & sum(n10, n1) = n11 & sum(n10, n0) = n10 & sum(n9, n15) = n8 &
% 49.45/7.50 sum(n9, n14) = n7 & sum(n9, n13) = n6 & sum(n9, n12) = n5 & sum(n9, n11) =
% 49.45/7.50 n4 & sum(n9, n10) = n3 & sum(n9, n9) = n2 & sum(n9, n8) = n1 & sum(n9, n7) =
% 49.45/7.50 n0 & sum(n9, n6) = n15 & sum(n9, n5) = n14 & sum(n9, n4) = n13 & sum(n9, n3)
% 49.45/7.50 = n12 & sum(n9, n2) = n11 & sum(n9, n1) = n10 & sum(n9, n0) = n9 & sum(n8,
% 49.45/7.50 n15) = n7 & sum(n8, n14) = n6 & sum(n8, n13) = n5 & sum(n8, n12) = n4 &
% 49.45/7.50 sum(n8, n11) = n3 & sum(n8, n10) = n2 & sum(n8, n9) = n1 & sum(n8, n8) = n0
% 49.45/7.50 & sum(n8, n7) = n15 & sum(n8, n6) = n14 & sum(n8, n5) = n13 & sum(n8, n4) =
% 49.45/7.50 n12 & sum(n8, n3) = n11 & sum(n8, n2) = n10 & sum(n8, n1) = n9 & sum(n8, n0)
% 49.45/7.50 = n8 & sum(n7, n15) = n6 & sum(n7, n14) = n5 & sum(n7, n13) = n4 & sum(n7,
% 49.45/7.50 n12) = n3 & sum(n7, n11) = n2 & sum(n7, n10) = n1 & sum(n7, n9) = n0 &
% 49.45/7.50 sum(n7, n8) = n15 & sum(n7, n7) = n14 & sum(n7, n6) = n13 & sum(n7, n5) =
% 49.45/7.51 n12 & sum(n7, n4) = n11 & sum(n7, n3) = n10 & sum(n7, n2) = n9 & sum(n7, n1)
% 49.45/7.51 = n8 & sum(n7, n0) = n7 & sum(n6, n15) = n5 & sum(n6, n14) = n4 & sum(n6,
% 49.45/7.51 n13) = n3 & sum(n6, n12) = n2 & sum(n6, n11) = n1 & sum(n6, n10) = n0 &
% 49.45/7.51 sum(n6, n9) = n15 & sum(n6, n8) = n14 & sum(n6, n7) = n13 & sum(n6, n6) =
% 49.45/7.51 n12 & sum(n6, n5) = n11 & sum(n6, n4) = n10 & sum(n6, n3) = n9 & sum(n6, n2)
% 49.45/7.51 = n8 & sum(n6, n1) = n7 & sum(n6, n0) = n6 & sum(n5, n15) = n4 & sum(n5,
% 49.45/7.51 n14) = n3 & sum(n5, n13) = n2 & sum(n5, n12) = n1 & sum(n5, n11) = n0 &
% 49.45/7.51 sum(n5, n10) = n15 & sum(n5, n9) = n14 & sum(n5, n8) = n13 & sum(n5, n7) =
% 49.45/7.51 n12 & sum(n5, n6) = n11 & sum(n5, n5) = n10 & sum(n5, n4) = n9 & sum(n5, n3)
% 49.45/7.51 = n8 & sum(n5, n2) = n7 & sum(n5, n1) = n6 & sum(n5, n0) = n5 & sum(n4, n15)
% 49.45/7.51 = n3 & sum(n4, n14) = n2 & sum(n4, n13) = n1 & sum(n4, n12) = n0 & sum(n4,
% 49.45/7.51 n11) = n15 & sum(n4, n10) = n14 & sum(n4, n9) = n13 & sum(n4, n8) = n12 &
% 49.45/7.51 sum(n4, n7) = n11 & sum(n4, n6) = n10 & sum(n4, n5) = n9 & sum(n4, n4) = n8
% 49.45/7.51 & sum(n4, n3) = n7 & sum(n4, n2) = n6 & sum(n4, n1) = n5 & sum(n4, n0) = n4
% 49.45/7.51 & sum(n3, n15) = n2 & sum(n3, n14) = n1 & sum(n3, n13) = n0 & sum(n3, n12) =
% 49.45/7.51 n15 & sum(n3, n11) = n14 & sum(n3, n10) = n13 & sum(n3, n9) = n12 & sum(n3,
% 49.45/7.51 n8) = n11 & sum(n3, n7) = n10 & sum(n3, n6) = n9 & sum(n3, n5) = n8 &
% 49.45/7.51 sum(n3, n4) = n7 & sum(n3, n3) = n6 & sum(n3, n2) = n5 & sum(n3, n1) = n4 &
% 49.45/7.51 sum(n3, n0) = n3 & sum(n2, n15) = n1 & sum(n2, n14) = n0 & sum(n2, n13) =
% 49.45/7.51 n15 & sum(n2, n12) = n14 & sum(n2, n11) = n13 & sum(n2, n10) = n12 & sum(n2,
% 49.45/7.51 n9) = n11 & sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6) = n8 &
% 49.45/7.51 sum(n2, n5) = n7 & sum(n2, n4) = n6 & sum(n2, n3) = n5 & sum(n2, n2) = n4 &
% 49.45/7.51 sum(n2, n1) = n3 & sum(n2, n0) = n2 & sum(n1, n15) = n0 & sum(n1, n14) = n15
% 49.45/7.51 & sum(n1, n13) = n14 & sum(n1, n12) = n13 & sum(n1, n11) = n12 & sum(n1,
% 49.45/7.51 n10) = n11 & sum(n1, n9) = n10 & sum(n1, n8) = n9 & sum(n1, n7) = n8 &
% 49.45/7.51 sum(n1, n6) = n7 & sum(n1, n5) = n6 & sum(n1, n4) = n5 & sum(n1, n3) = n4 &
% 49.45/7.51 sum(n1, n2) = n3 & sum(n1, n1) = n2 & sum(n1, n0) = n1 & sum(n0, n15) = n15
% 49.45/7.51 & sum(n0, n14) = n14 & sum(n0, n13) = n13 & sum(n0, n12) = n12 & sum(n0,
% 49.45/7.51 n11) = n11 & sum(n0, n10) = n10 & sum(n0, n9) = n9 & sum(n0, n8) = n8 &
% 49.45/7.51 sum(n0, n7) = n7 & sum(n0, n6) = n6 & sum(n0, n5) = n5 & sum(n0, n4) = n4 &
% 49.45/7.51 sum(n0, n3) = n3 & sum(n0, n2) = n2 & sum(n0, n1) = n1 & sum(n0, n0) = n0 &
% 49.45/7.51 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 49.45/7.51 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v1 = n15 | v1 = n14 | v1 = n13 | v1 =
% 49.45/7.51 n12 | v1 = n11 | v1 = n10 | v1 = n9 | v1 = n8 | v1 = n7 | v1 = n6 | v1 =
% 49.45/7.51 n5 | v1 = n4 | v1 = n3 | v1 = n2 | v1 = n1 | v1 = n0) & (v0 = n15 | v0 =
% 49.45/7.51 n14 | v0 = n13 | v0 = n12 | v0 = n11 | v0 = n10 | v0 = n9 | v0 = n8 | v0 =
% 49.45/7.51 n7 | v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0))
% 49.45/7.51
% 49.45/7.51 (function-axioms)
% 49.45/7.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sum(v3,
% 49.45/7.51 v2) = v1) | ~ (sum(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 49.45/7.51 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0: $i] : !
% 49.45/7.51 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 49.45/7.51
% 49.45/7.51 Those formulas are unsatisfiable:
% 49.45/7.51 ---------------------------------
% 49.45/7.51
% 49.45/7.51 Begin of proof
% 49.45/7.51 |
% 49.45/7.51 | ALPHA: (try_satisfy_this) implies:
% 49.93/7.54 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.93/7.54 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 49.93/7.54 | [v10: $i] : ? [v11: $i] : ( ~ (v11 = v8) & ~ (n15 = n14) & ~ (n15 =
% 49.93/7.54 | n13) & ~ (n15 = n12) & ~ (n15 = n11) & ~ (n15 = n10) & ~ (n15 =
% 49.93/7.54 | n9) & ~ (n15 = n8) & ~ (n15 = n7) & ~ (n15 = n6) & ~ (n15 = n5)
% 49.93/7.54 | & ~ (n15 = n4) & ~ (n15 = n3) & ~ (n15 = n2) & ~ (n15 = n1) & ~
% 49.93/7.54 | (n15 = n0) & ~ (n14 = n13) & ~ (n14 = n12) & ~ (n14 = n11) & ~
% 49.93/7.54 | (n14 = n10) & ~ (n14 = n9) & ~ (n14 = n8) & ~ (n14 = n7) & ~ (n14
% 49.93/7.54 | = n6) & ~ (n14 = n5) & ~ (n14 = n4) & ~ (n14 = n3) & ~ (n14 =
% 49.93/7.54 | n2) & ~ (n14 = n1) & ~ (n14 = n0) & ~ (n13 = n12) & ~ (n13 =
% 49.93/7.54 | n11) & ~ (n13 = n10) & ~ (n13 = n9) & ~ (n13 = n8) & ~ (n13 =
% 49.93/7.54 | n7) & ~ (n13 = n6) & ~ (n13 = n5) & ~ (n13 = n4) & ~ (n13 = n3)
% 49.93/7.54 | & ~ (n13 = n2) & ~ (n13 = n1) & ~ (n13 = n0) & ~ (n12 = n11) & ~
% 49.93/7.54 | (n12 = n10) & ~ (n12 = n9) & ~ (n12 = n8) & ~ (n12 = n7) & ~ (n12
% 49.93/7.54 | = n6) & ~ (n12 = n5) & ~ (n12 = n4) & ~ (n12 = n3) & ~ (n12 =
% 49.93/7.54 | n2) & ~ (n12 = n1) & ~ (n12 = n0) & ~ (n11 = n10) & ~ (n11 =
% 49.93/7.54 | n9) & ~ (n11 = n8) & ~ (n11 = n7) & ~ (n11 = n6) & ~ (n11 = n5)
% 49.93/7.54 | & ~ (n11 = n4) & ~ (n11 = n3) & ~ (n11 = n2) & ~ (n11 = n1) & ~
% 49.93/7.54 | (n11 = n0) & ~ (n10 = n9) & ~ (n10 = n8) & ~ (n10 = n7) & ~ (n10
% 49.93/7.54 | = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = n3) & ~ (n10 =
% 49.93/7.54 | n2) & ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9 = n7) &
% 49.93/7.54 | ~ (n9 = n6) & ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) & ~ (n9 =
% 49.93/7.54 | n2) & ~ (n9 = n1) & ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6) &
% 49.93/7.54 | ~ (n8 = n5) & ~ (n8 = n4) & ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 =
% 49.93/7.54 | n1) & ~ (n8 = n0) & ~ (n7 = n6) & ~ (n7 = n5) & ~ (n7 = n4) &
% 49.93/7.54 | ~ (n7 = n3) & ~ (n7 = n2) & ~ (n7 = n1) & ~ (n7 = n0) & ~ (n6 =
% 49.93/7.54 | n5) & ~ (n6 = n4) & ~ (n6 = n3) & ~ (n6 = n2) & ~ (n6 = n1) &
% 49.93/7.54 | ~ (n6 = n0) & ~ (n5 = n4) & ~ (n5 = n3) & ~ (n5 = n2) & ~ (n5 =
% 49.93/7.54 | n1) & ~ (n5 = n0) & ~ (n4 = n3) & ~ (n4 = n2) & ~ (n4 = n1) &
% 49.93/7.54 | ~ (n4 = n0) & ~ (n3 = n2) & ~ (n3 = n1) & ~ (n3 = n0) & ~ (n2 =
% 49.93/7.54 | n1) & ~ (n2 = n0) & ~ (n1 = n0) & pred(v1) = v5 & pred(v0) = v2 &
% 49.93/7.54 | pred(n15) = n14 & pred(n14) = n13 & pred(n13) = n12 & pred(n12) = n11
% 49.93/7.54 | & pred(n11) = n10 & pred(n10) = n9 & pred(n9) = n8 & pred(n8) = n7 &
% 49.93/7.54 | pred(n7) = n6 & pred(n6) = n5 & pred(n5) = n4 & pred(n4) = n3 &
% 49.93/7.54 | pred(n3) = n2 & pred(n2) = n1 & pred(n1) = n0 & pred(n0) = n15 &
% 49.93/7.54 | succ(v1) = v3 & succ(v0) = v6 & succ(n15) = n0 & succ(n14) = n15 &
% 49.93/7.54 | succ(n13) = n14 & succ(n12) = n13 & succ(n11) = n12 & succ(n10) = n11
% 49.93/7.54 | & succ(n9) = n10 & succ(n8) = n9 & succ(n7) = n8 & succ(n6) = n7 &
% 49.93/7.54 | succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 &
% 49.93/7.54 | succ(n1) = n2 & succ(n0) = n1 & sum(v9, v10) = v11 & sum(v5, v6) = v7
% 49.93/7.54 | & sum(v5, v3) = v10 & sum(v4, v7) = v8 & sum(v2, v6) = v9 & sum(v2,
% 49.93/7.54 | v3) = v4 & sum(n15, n15) = n14 & sum(n15, n14) = n13 & sum(n15,
% 49.93/7.54 | n13) = n12 & sum(n15, n12) = n11 & sum(n15, n11) = n10 & sum(n15,
% 49.93/7.54 | n10) = n9 & sum(n15, n9) = n8 & sum(n15, n8) = n7 & sum(n15, n7) =
% 49.93/7.54 | n6 & sum(n15, n6) = n5 & sum(n15, n5) = n4 & sum(n15, n4) = n3 &
% 49.93/7.54 | sum(n15, n3) = n2 & sum(n15, n2) = n1 & sum(n15, n1) = n0 & sum(n15,
% 49.93/7.54 | n0) = n15 & sum(n14, n15) = n13 & sum(n14, n14) = n12 & sum(n14,
% 49.93/7.54 | n13) = n11 & sum(n14, n12) = n10 & sum(n14, n11) = n9 & sum(n14,
% 49.93/7.54 | n10) = n8 & sum(n14, n9) = n7 & sum(n14, n8) = n6 & sum(n14, n7) =
% 49.93/7.54 | n5 & sum(n14, n6) = n4 & sum(n14, n5) = n3 & sum(n14, n4) = n2 &
% 49.93/7.54 | sum(n14, n3) = n1 & sum(n14, n2) = n0 & sum(n14, n1) = n15 & sum(n14,
% 49.93/7.54 | n0) = n14 & sum(n13, n15) = n12 & sum(n13, n14) = n11 & sum(n13,
% 49.93/7.54 | n13) = n10 & sum(n13, n12) = n9 & sum(n13, n11) = n8 & sum(n13,
% 49.93/7.54 | n10) = n7 & sum(n13, n9) = n6 & sum(n13, n8) = n5 & sum(n13, n7) =
% 49.93/7.54 | n4 & sum(n13, n6) = n3 & sum(n13, n5) = n2 & sum(n13, n4) = n1 &
% 49.93/7.55 | sum(n13, n3) = n0 & sum(n13, n2) = n15 & sum(n13, n1) = n14 &
% 49.93/7.55 | sum(n13, n0) = n13 & sum(n12, n15) = n11 & sum(n12, n14) = n10 &
% 49.93/7.55 | sum(n12, n13) = n9 & sum(n12, n12) = n8 & sum(n12, n11) = n7 &
% 49.93/7.55 | sum(n12, n10) = n6 & sum(n12, n9) = n5 & sum(n12, n8) = n4 & sum(n12,
% 49.93/7.55 | n7) = n3 & sum(n12, n6) = n2 & sum(n12, n5) = n1 & sum(n12, n4) =
% 49.93/7.55 | n0 & sum(n12, n3) = n15 & sum(n12, n2) = n14 & sum(n12, n1) = n13 &
% 49.93/7.55 | sum(n12, n0) = n12 & sum(n11, n15) = n10 & sum(n11, n14) = n9 &
% 49.93/7.55 | sum(n11, n13) = n8 & sum(n11, n12) = n7 & sum(n11, n11) = n6 &
% 49.93/7.55 | sum(n11, n10) = n5 & sum(n11, n9) = n4 & sum(n11, n8) = n3 & sum(n11,
% 49.93/7.55 | n7) = n2 & sum(n11, n6) = n1 & sum(n11, n5) = n0 & sum(n11, n4) =
% 49.93/7.55 | n15 & sum(n11, n3) = n14 & sum(n11, n2) = n13 & sum(n11, n1) = n12 &
% 49.93/7.55 | sum(n11, n0) = n11 & sum(n10, n15) = n9 & sum(n10, n14) = n8 &
% 49.93/7.55 | sum(n10, n13) = n7 & sum(n10, n12) = n6 & sum(n10, n11) = n5 &
% 49.93/7.55 | sum(n10, n10) = n4 & sum(n10, n9) = n3 & sum(n10, n8) = n2 & sum(n10,
% 49.93/7.55 | n7) = n1 & sum(n10, n6) = n0 & sum(n10, n5) = n15 & sum(n10, n4) =
% 49.93/7.55 | n14 & sum(n10, n3) = n13 & sum(n10, n2) = n12 & sum(n10, n1) = n11 &
% 49.93/7.55 | sum(n10, n0) = n10 & sum(n9, n15) = n8 & sum(n9, n14) = n7 & sum(n9,
% 49.93/7.55 | n13) = n6 & sum(n9, n12) = n5 & sum(n9, n11) = n4 & sum(n9, n10) =
% 49.93/7.55 | n3 & sum(n9, n9) = n2 & sum(n9, n8) = n1 & sum(n9, n7) = n0 & sum(n9,
% 49.93/7.55 | n6) = n15 & sum(n9, n5) = n14 & sum(n9, n4) = n13 & sum(n9, n3) =
% 49.93/7.55 | n12 & sum(n9, n2) = n11 & sum(n9, n1) = n10 & sum(n9, n0) = n9 &
% 49.93/7.55 | sum(n8, n15) = n7 & sum(n8, n14) = n6 & sum(n8, n13) = n5 & sum(n8,
% 49.93/7.55 | n12) = n4 & sum(n8, n11) = n3 & sum(n8, n10) = n2 & sum(n8, n9) =
% 49.93/7.55 | n1 & sum(n8, n8) = n0 & sum(n8, n7) = n15 & sum(n8, n6) = n14 &
% 49.93/7.55 | sum(n8, n5) = n13 & sum(n8, n4) = n12 & sum(n8, n3) = n11 & sum(n8,
% 49.93/7.55 | n2) = n10 & sum(n8, n1) = n9 & sum(n8, n0) = n8 & sum(n7, n15) = n6
% 49.93/7.55 | & sum(n7, n14) = n5 & sum(n7, n13) = n4 & sum(n7, n12) = n3 & sum(n7,
% 49.93/7.55 | n11) = n2 & sum(n7, n10) = n1 & sum(n7, n9) = n0 & sum(n7, n8) =
% 49.93/7.55 | n15 & sum(n7, n7) = n14 & sum(n7, n6) = n13 & sum(n7, n5) = n12 &
% 49.93/7.55 | sum(n7, n4) = n11 & sum(n7, n3) = n10 & sum(n7, n2) = n9 & sum(n7,
% 49.93/7.55 | n1) = n8 & sum(n7, n0) = n7 & sum(n6, n15) = n5 & sum(n6, n14) = n4
% 49.93/7.55 | & sum(n6, n13) = n3 & sum(n6, n12) = n2 & sum(n6, n11) = n1 & sum(n6,
% 49.93/7.55 | n10) = n0 & sum(n6, n9) = n15 & sum(n6, n8) = n14 & sum(n6, n7) =
% 49.93/7.55 | n13 & sum(n6, n6) = n12 & sum(n6, n5) = n11 & sum(n6, n4) = n10 &
% 49.93/7.55 | sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = n7 & sum(n6, n0)
% 49.93/7.55 | = n6 & sum(n5, n15) = n4 & sum(n5, n14) = n3 & sum(n5, n13) = n2 &
% 49.93/7.55 | sum(n5, n12) = n1 & sum(n5, n11) = n0 & sum(n5, n10) = n15 & sum(n5,
% 49.93/7.55 | n9) = n14 & sum(n5, n8) = n13 & sum(n5, n7) = n12 & sum(n5, n6) =
% 49.93/7.55 | n11 & sum(n5, n5) = n10 & sum(n5, n4) = n9 & sum(n5, n3) = n8 &
% 49.93/7.55 | sum(n5, n2) = n7 & sum(n5, n1) = n6 & sum(n5, n0) = n5 & sum(n4, n15)
% 49.93/7.55 | = n3 & sum(n4, n14) = n2 & sum(n4, n13) = n1 & sum(n4, n12) = n0 &
% 49.93/7.55 | sum(n4, n11) = n15 & sum(n4, n10) = n14 & sum(n4, n9) = n13 & sum(n4,
% 49.93/7.55 | n8) = n12 & sum(n4, n7) = n11 & sum(n4, n6) = n10 & sum(n4, n5) =
% 49.93/7.55 | n9 & sum(n4, n4) = n8 & sum(n4, n3) = n7 & sum(n4, n2) = n6 & sum(n4,
% 49.93/7.55 | n1) = n5 & sum(n4, n0) = n4 & sum(n3, n15) = n2 & sum(n3, n14) = n1
% 49.93/7.55 | & sum(n3, n13) = n0 & sum(n3, n12) = n15 & sum(n3, n11) = n14 &
% 49.93/7.55 | sum(n3, n10) = n13 & sum(n3, n9) = n12 & sum(n3, n8) = n11 & sum(n3,
% 49.93/7.55 | n7) = n10 & sum(n3, n6) = n9 & sum(n3, n5) = n8 & sum(n3, n4) = n7
% 49.93/7.55 | & sum(n3, n3) = n6 & sum(n3, n2) = n5 & sum(n3, n1) = n4 & sum(n3,
% 49.93/7.55 | n0) = n3 & sum(n2, n15) = n1 & sum(n2, n14) = n0 & sum(n2, n13) =
% 49.93/7.55 | n15 & sum(n2, n12) = n14 & sum(n2, n11) = n13 & sum(n2, n10) = n12 &
% 49.93/7.55 | sum(n2, n9) = n11 & sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2,
% 49.93/7.55 | n6) = n8 & sum(n2, n5) = n7 & sum(n2, n4) = n6 & sum(n2, n3) = n5 &
% 49.93/7.55 | sum(n2, n2) = n4 & sum(n2, n1) = n3 & sum(n2, n0) = n2 & sum(n1, n15)
% 49.93/7.55 | = n0 & sum(n1, n14) = n15 & sum(n1, n13) = n14 & sum(n1, n12) = n13 &
% 49.93/7.55 | sum(n1, n11) = n12 & sum(n1, n10) = n11 & sum(n1, n9) = n10 & sum(n1,
% 49.93/7.55 | n8) = n9 & sum(n1, n7) = n8 & sum(n1, n6) = n7 & sum(n1, n5) = n6 &
% 49.93/7.55 | sum(n1, n4) = n5 & sum(n1, n3) = n4 & sum(n1, n2) = n3 & sum(n1, n1)
% 49.93/7.55 | = n2 & sum(n1, n0) = n1 & sum(n0, n15) = n15 & sum(n0, n14) = n14 &
% 49.93/7.55 | sum(n0, n13) = n13 & sum(n0, n12) = n12 & sum(n0, n11) = n11 &
% 49.93/7.55 | sum(n0, n10) = n10 & sum(n0, n9) = n9 & sum(n0, n8) = n8 & sum(n0,
% 49.93/7.55 | n7) = n7 & sum(n0, n6) = n6 & sum(n0, n5) = n5 & sum(n0, n4) = n4 &
% 49.93/7.55 | sum(n0, n3) = n3 & sum(n0, n2) = n2 & sum(n0, n1) = n1 & sum(n0, n0)
% 49.93/7.55 | = n0 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5)
% 49.93/7.55 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v1 = n15 | v1 = n14 |
% 49.93/7.55 | v1 = n13 | v1 = n12 | v1 = n11 | v1 = n10 | v1 = n9 | v1 = n8 | v1
% 49.93/7.55 | = n7 | v1 = n6 | v1 = n5 | v1 = n4 | v1 = n3 | v1 = n2 | v1 = n1 |
% 49.93/7.55 | v1 = n0) & (v0 = n15 | v0 = n14 | v0 = n13 | v0 = n12 | v0 = n11 |
% 49.93/7.55 | v0 = n10 | v0 = n9 | v0 = n8 | v0 = n7 | v0 = n6 | v0 = n5 | v0 =
% 49.93/7.55 | n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0))
% 49.93/7.55 |
% 49.93/7.55 | ALPHA: (function-axioms) implies:
% 49.93/7.55 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (succ(v2) = v1)
% 49.93/7.55 | | ~ (succ(v2) = v0))
% 49.93/7.55 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (pred(v2) = v1)
% 49.93/7.55 | | ~ (pred(v2) = v0))
% 49.93/7.55 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 49.93/7.55 | (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 49.93/7.55 |
% 49.93/7.55 | DELTA: instantiating (1) with fresh symbols all_4_0, all_4_1, all_4_2,
% 49.93/7.55 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 49.93/7.55 | all_4_10, all_4_11 gives:
% 49.93/7.57 | (5) ~ (all_4_0 = all_4_3) & ~ (n15 = n14) & ~ (n15 = n13) & ~ (n15 =
% 49.93/7.57 | n12) & ~ (n15 = n11) & ~ (n15 = n10) & ~ (n15 = n9) & ~ (n15 =
% 49.93/7.57 | n8) & ~ (n15 = n7) & ~ (n15 = n6) & ~ (n15 = n5) & ~ (n15 = n4) &
% 49.93/7.57 | ~ (n15 = n3) & ~ (n15 = n2) & ~ (n15 = n1) & ~ (n15 = n0) & ~ (n14
% 49.93/7.57 | = n13) & ~ (n14 = n12) & ~ (n14 = n11) & ~ (n14 = n10) & ~ (n14 =
% 49.93/7.57 | n9) & ~ (n14 = n8) & ~ (n14 = n7) & ~ (n14 = n6) & ~ (n14 = n5) &
% 49.93/7.57 | ~ (n14 = n4) & ~ (n14 = n3) & ~ (n14 = n2) & ~ (n14 = n1) & ~ (n14
% 49.93/7.57 | = n0) & ~ (n13 = n12) & ~ (n13 = n11) & ~ (n13 = n10) & ~ (n13 =
% 49.93/7.57 | n9) & ~ (n13 = n8) & ~ (n13 = n7) & ~ (n13 = n6) & ~ (n13 = n5) &
% 49.93/7.57 | ~ (n13 = n4) & ~ (n13 = n3) & ~ (n13 = n2) & ~ (n13 = n1) & ~ (n13
% 49.93/7.57 | = n0) & ~ (n12 = n11) & ~ (n12 = n10) & ~ (n12 = n9) & ~ (n12 =
% 49.93/7.57 | n8) & ~ (n12 = n7) & ~ (n12 = n6) & ~ (n12 = n5) & ~ (n12 = n4) &
% 49.93/7.57 | ~ (n12 = n3) & ~ (n12 = n2) & ~ (n12 = n1) & ~ (n12 = n0) & ~ (n11
% 49.93/7.57 | = n10) & ~ (n11 = n9) & ~ (n11 = n8) & ~ (n11 = n7) & ~ (n11 =
% 49.93/7.57 | n6) & ~ (n11 = n5) & ~ (n11 = n4) & ~ (n11 = n3) & ~ (n11 = n2) &
% 49.93/7.57 | ~ (n11 = n1) & ~ (n11 = n0) & ~ (n10 = n9) & ~ (n10 = n8) & ~ (n10
% 49.93/7.57 | = n7) & ~ (n10 = n6) & ~ (n10 = n5) & ~ (n10 = n4) & ~ (n10 = n3)
% 49.93/7.57 | & ~ (n10 = n2) & ~ (n10 = n1) & ~ (n10 = n0) & ~ (n9 = n8) & ~ (n9
% 49.93/7.57 | = n7) & ~ (n9 = n6) & ~ (n9 = n5) & ~ (n9 = n4) & ~ (n9 = n3) &
% 49.93/7.57 | ~ (n9 = n2) & ~ (n9 = n1) & ~ (n9 = n0) & ~ (n8 = n7) & ~ (n8 = n6)
% 49.93/7.57 | & ~ (n8 = n5) & ~ (n8 = n4) & ~ (n8 = n3) & ~ (n8 = n2) & ~ (n8 =
% 49.93/7.57 | n1) & ~ (n8 = n0) & ~ (n7 = n6) & ~ (n7 = n5) & ~ (n7 = n4) & ~
% 49.93/7.57 | (n7 = n3) & ~ (n7 = n2) & ~ (n7 = n1) & ~ (n7 = n0) & ~ (n6 = n5) &
% 49.93/7.57 | ~ (n6 = n4) & ~ (n6 = n3) & ~ (n6 = n2) & ~ (n6 = n1) & ~ (n6 =
% 49.93/7.57 | n0) & ~ (n5 = n4) & ~ (n5 = n3) & ~ (n5 = n2) & ~ (n5 = n1) & ~
% 49.93/7.57 | (n5 = n0) & ~ (n4 = n3) & ~ (n4 = n2) & ~ (n4 = n1) & ~ (n4 = n0) &
% 49.93/7.57 | ~ (n3 = n2) & ~ (n3 = n1) & ~ (n3 = n0) & ~ (n2 = n1) & ~ (n2 =
% 49.93/7.57 | n0) & ~ (n1 = n0) & pred(all_4_10) = all_4_6 & pred(all_4_11) =
% 49.93/7.57 | all_4_9 & pred(n15) = n14 & pred(n14) = n13 & pred(n13) = n12 &
% 49.93/7.57 | pred(n12) = n11 & pred(n11) = n10 & pred(n10) = n9 & pred(n9) = n8 &
% 49.93/7.57 | pred(n8) = n7 & pred(n7) = n6 & pred(n6) = n5 & pred(n5) = n4 &
% 49.93/7.57 | pred(n4) = n3 & pred(n3) = n2 & pred(n2) = n1 & pred(n1) = n0 &
% 49.93/7.57 | pred(n0) = n15 & succ(all_4_10) = all_4_8 & succ(all_4_11) = all_4_5 &
% 49.93/7.57 | succ(n15) = n0 & succ(n14) = n15 & succ(n13) = n14 & succ(n12) = n13 &
% 49.93/7.57 | succ(n11) = n12 & succ(n10) = n11 & succ(n9) = n10 & succ(n8) = n9 &
% 49.93/7.57 | succ(n7) = n8 & succ(n6) = n7 & succ(n5) = n6 & succ(n4) = n5 &
% 49.93/7.57 | succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(n0) = n1 &
% 49.93/7.57 | sum(all_4_2, all_4_1) = all_4_0 & sum(all_4_6, all_4_5) = all_4_4 &
% 49.93/7.57 | sum(all_4_6, all_4_8) = all_4_1 & sum(all_4_7, all_4_4) = all_4_3 &
% 49.93/7.57 | sum(all_4_9, all_4_5) = all_4_2 & sum(all_4_9, all_4_8) = all_4_7 &
% 49.93/7.57 | sum(n15, n15) = n14 & sum(n15, n14) = n13 & sum(n15, n13) = n12 &
% 49.93/7.57 | sum(n15, n12) = n11 & sum(n15, n11) = n10 & sum(n15, n10) = n9 &
% 49.93/7.57 | sum(n15, n9) = n8 & sum(n15, n8) = n7 & sum(n15, n7) = n6 & sum(n15,
% 49.93/7.57 | n6) = n5 & sum(n15, n5) = n4 & sum(n15, n4) = n3 & sum(n15, n3) = n2
% 49.93/7.57 | & sum(n15, n2) = n1 & sum(n15, n1) = n0 & sum(n15, n0) = n15 & sum(n14,
% 49.93/7.57 | n15) = n13 & sum(n14, n14) = n12 & sum(n14, n13) = n11 & sum(n14,
% 49.93/7.57 | n12) = n10 & sum(n14, n11) = n9 & sum(n14, n10) = n8 & sum(n14, n9) =
% 49.93/7.57 | n7 & sum(n14, n8) = n6 & sum(n14, n7) = n5 & sum(n14, n6) = n4 &
% 49.93/7.57 | sum(n14, n5) = n3 & sum(n14, n4) = n2 & sum(n14, n3) = n1 & sum(n14,
% 49.93/7.57 | n2) = n0 & sum(n14, n1) = n15 & sum(n14, n0) = n14 & sum(n13, n15) =
% 49.93/7.57 | n12 & sum(n13, n14) = n11 & sum(n13, n13) = n10 & sum(n13, n12) = n9 &
% 49.93/7.57 | sum(n13, n11) = n8 & sum(n13, n10) = n7 & sum(n13, n9) = n6 & sum(n13,
% 49.93/7.57 | n8) = n5 & sum(n13, n7) = n4 & sum(n13, n6) = n3 & sum(n13, n5) = n2
% 49.93/7.57 | & sum(n13, n4) = n1 & sum(n13, n3) = n0 & sum(n13, n2) = n15 & sum(n13,
% 49.93/7.57 | n1) = n14 & sum(n13, n0) = n13 & sum(n12, n15) = n11 & sum(n12, n14)
% 49.93/7.57 | = n10 & sum(n12, n13) = n9 & sum(n12, n12) = n8 & sum(n12, n11) = n7 &
% 49.93/7.57 | sum(n12, n10) = n6 & sum(n12, n9) = n5 & sum(n12, n8) = n4 & sum(n12,
% 49.93/7.57 | n7) = n3 & sum(n12, n6) = n2 & sum(n12, n5) = n1 & sum(n12, n4) = n0
% 49.93/7.57 | & sum(n12, n3) = n15 & sum(n12, n2) = n14 & sum(n12, n1) = n13 &
% 49.93/7.57 | sum(n12, n0) = n12 & sum(n11, n15) = n10 & sum(n11, n14) = n9 &
% 49.93/7.57 | sum(n11, n13) = n8 & sum(n11, n12) = n7 & sum(n11, n11) = n6 & sum(n11,
% 49.93/7.57 | n10) = n5 & sum(n11, n9) = n4 & sum(n11, n8) = n3 & sum(n11, n7) = n2
% 49.93/7.57 | & sum(n11, n6) = n1 & sum(n11, n5) = n0 & sum(n11, n4) = n15 & sum(n11,
% 49.93/7.57 | n3) = n14 & sum(n11, n2) = n13 & sum(n11, n1) = n12 & sum(n11, n0) =
% 49.93/7.57 | n11 & sum(n10, n15) = n9 & sum(n10, n14) = n8 & sum(n10, n13) = n7 &
% 49.93/7.57 | sum(n10, n12) = n6 & sum(n10, n11) = n5 & sum(n10, n10) = n4 & sum(n10,
% 49.93/7.57 | n9) = n3 & sum(n10, n8) = n2 & sum(n10, n7) = n1 & sum(n10, n6) = n0
% 49.93/7.57 | & sum(n10, n5) = n15 & sum(n10, n4) = n14 & sum(n10, n3) = n13 &
% 49.93/7.57 | sum(n10, n2) = n12 & sum(n10, n1) = n11 & sum(n10, n0) = n10 & sum(n9,
% 49.93/7.57 | n15) = n8 & sum(n9, n14) = n7 & sum(n9, n13) = n6 & sum(n9, n12) = n5
% 49.93/7.57 | & sum(n9, n11) = n4 & sum(n9, n10) = n3 & sum(n9, n9) = n2 & sum(n9,
% 49.93/7.57 | n8) = n1 & sum(n9, n7) = n0 & sum(n9, n6) = n15 & sum(n9, n5) = n14 &
% 49.93/7.57 | sum(n9, n4) = n13 & sum(n9, n3) = n12 & sum(n9, n2) = n11 & sum(n9, n1)
% 49.93/7.57 | = n10 & sum(n9, n0) = n9 & sum(n8, n15) = n7 & sum(n8, n14) = n6 &
% 49.93/7.57 | sum(n8, n13) = n5 & sum(n8, n12) = n4 & sum(n8, n11) = n3 & sum(n8,
% 49.93/7.57 | n10) = n2 & sum(n8, n9) = n1 & sum(n8, n8) = n0 & sum(n8, n7) = n15 &
% 49.93/7.57 | sum(n8, n6) = n14 & sum(n8, n5) = n13 & sum(n8, n4) = n12 & sum(n8, n3)
% 49.93/7.57 | = n11 & sum(n8, n2) = n10 & sum(n8, n1) = n9 & sum(n8, n0) = n8 &
% 49.93/7.57 | sum(n7, n15) = n6 & sum(n7, n14) = n5 & sum(n7, n13) = n4 & sum(n7,
% 49.93/7.57 | n12) = n3 & sum(n7, n11) = n2 & sum(n7, n10) = n1 & sum(n7, n9) = n0
% 49.93/7.57 | & sum(n7, n8) = n15 & sum(n7, n7) = n14 & sum(n7, n6) = n13 & sum(n7,
% 49.93/7.57 | n5) = n12 & sum(n7, n4) = n11 & sum(n7, n3) = n10 & sum(n7, n2) = n9
% 49.93/7.57 | & sum(n7, n1) = n8 & sum(n7, n0) = n7 & sum(n6, n15) = n5 & sum(n6,
% 49.93/7.57 | n14) = n4 & sum(n6, n13) = n3 & sum(n6, n12) = n2 & sum(n6, n11) = n1
% 49.93/7.57 | & sum(n6, n10) = n0 & sum(n6, n9) = n15 & sum(n6, n8) = n14 & sum(n6,
% 49.93/7.57 | n7) = n13 & sum(n6, n6) = n12 & sum(n6, n5) = n11 & sum(n6, n4) = n10
% 49.93/7.57 | & sum(n6, n3) = n9 & sum(n6, n2) = n8 & sum(n6, n1) = n7 & sum(n6, n0)
% 49.93/7.57 | = n6 & sum(n5, n15) = n4 & sum(n5, n14) = n3 & sum(n5, n13) = n2 &
% 49.93/7.57 | sum(n5, n12) = n1 & sum(n5, n11) = n0 & sum(n5, n10) = n15 & sum(n5,
% 49.93/7.57 | n9) = n14 & sum(n5, n8) = n13 & sum(n5, n7) = n12 & sum(n5, n6) = n11
% 49.93/7.57 | & sum(n5, n5) = n10 & sum(n5, n4) = n9 & sum(n5, n3) = n8 & sum(n5, n2)
% 49.93/7.57 | = n7 & sum(n5, n1) = n6 & sum(n5, n0) = n5 & sum(n4, n15) = n3 &
% 49.93/7.57 | sum(n4, n14) = n2 & sum(n4, n13) = n1 & sum(n4, n12) = n0 & sum(n4,
% 49.93/7.57 | n11) = n15 & sum(n4, n10) = n14 & sum(n4, n9) = n13 & sum(n4, n8) =
% 49.93/7.57 | n12 & sum(n4, n7) = n11 & sum(n4, n6) = n10 & sum(n4, n5) = n9 &
% 49.93/7.57 | sum(n4, n4) = n8 & sum(n4, n3) = n7 & sum(n4, n2) = n6 & sum(n4, n1) =
% 49.93/7.57 | n5 & sum(n4, n0) = n4 & sum(n3, n15) = n2 & sum(n3, n14) = n1 & sum(n3,
% 49.93/7.57 | n13) = n0 & sum(n3, n12) = n15 & sum(n3, n11) = n14 & sum(n3, n10) =
% 49.93/7.57 | n13 & sum(n3, n9) = n12 & sum(n3, n8) = n11 & sum(n3, n7) = n10 &
% 49.93/7.57 | sum(n3, n6) = n9 & sum(n3, n5) = n8 & sum(n3, n4) = n7 & sum(n3, n3) =
% 49.93/7.57 | n6 & sum(n3, n2) = n5 & sum(n3, n1) = n4 & sum(n3, n0) = n3 & sum(n2,
% 49.93/7.57 | n15) = n1 & sum(n2, n14) = n0 & sum(n2, n13) = n15 & sum(n2, n12) =
% 49.93/7.57 | n14 & sum(n2, n11) = n13 & sum(n2, n10) = n12 & sum(n2, n9) = n11 &
% 49.93/7.57 | sum(n2, n8) = n10 & sum(n2, n7) = n9 & sum(n2, n6) = n8 & sum(n2, n5) =
% 49.93/7.57 | n7 & sum(n2, n4) = n6 & sum(n2, n3) = n5 & sum(n2, n2) = n4 & sum(n2,
% 49.93/7.57 | n1) = n3 & sum(n2, n0) = n2 & sum(n1, n15) = n0 & sum(n1, n14) = n15
% 49.93/7.57 | & sum(n1, n13) = n14 & sum(n1, n12) = n13 & sum(n1, n11) = n12 &
% 49.93/7.57 | sum(n1, n10) = n11 & sum(n1, n9) = n10 & sum(n1, n8) = n9 & sum(n1, n7)
% 49.93/7.57 | = n8 & sum(n1, n6) = n7 & sum(n1, n5) = n6 & sum(n1, n4) = n5 & sum(n1,
% 49.93/7.57 | n3) = n4 & sum(n1, n2) = n3 & sum(n1, n1) = n2 & sum(n1, n0) = n1 &
% 49.93/7.57 | sum(n0, n15) = n15 & sum(n0, n14) = n14 & sum(n0, n13) = n13 & sum(n0,
% 49.93/7.57 | n12) = n12 & sum(n0, n11) = n11 & sum(n0, n10) = n10 & sum(n0, n9) =
% 49.93/7.57 | n9 & sum(n0, n8) = n8 & sum(n0, n7) = n7 & sum(n0, n6) = n6 & sum(n0,
% 49.93/7.57 | n5) = n5 & sum(n0, n4) = n4 & sum(n0, n3) = n3 & sum(n0, n2) = n2 &
% 49.93/7.57 | sum(n0, n1) = n1 & sum(n0, n0) = n0 & $i(all_4_0) & $i(all_4_1) &
% 49.93/7.57 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) &
% 49.93/7.57 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) &
% 49.93/7.57 | (all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 |
% 49.93/7.57 | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 49.93/7.57 | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 49.93/7.57 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0) &
% 49.93/7.57 | (all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 |
% 49.93/7.57 | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 |
% 49.93/7.57 | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 49.93/7.57 | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0)
% 49.93/7.57 |
% 49.93/7.57 | ALPHA: (5) implies:
% 49.93/7.57 | (6) ~ (all_4_0 = all_4_3)
% 49.93/7.57 | (7) sum(n0, n0) = n0
% 49.93/7.57 | (8) sum(n0, n1) = n1
% 49.93/7.58 | (9) sum(n0, n2) = n2
% 49.93/7.58 | (10) sum(n0, n3) = n3
% 49.93/7.58 | (11) sum(n0, n4) = n4
% 49.93/7.58 | (12) sum(n0, n5) = n5
% 49.93/7.58 | (13) sum(n0, n6) = n6
% 49.93/7.58 | (14) sum(n0, n7) = n7
% 49.93/7.58 | (15) sum(n0, n8) = n8
% 49.93/7.58 | (16) sum(n0, n9) = n9
% 49.93/7.58 | (17) sum(n0, n10) = n10
% 49.93/7.58 | (18) sum(n0, n11) = n11
% 49.93/7.58 | (19) sum(n0, n12) = n12
% 49.93/7.58 | (20) sum(n0, n13) = n13
% 49.93/7.58 | (21) sum(n0, n14) = n14
% 49.93/7.58 | (22) sum(n0, n15) = n15
% 49.93/7.58 | (23) sum(n1, n0) = n1
% 49.93/7.58 | (24) sum(n1, n1) = n2
% 49.93/7.58 | (25) sum(n1, n2) = n3
% 49.93/7.58 | (26) sum(n1, n3) = n4
% 49.93/7.58 | (27) sum(n1, n4) = n5
% 49.93/7.58 | (28) sum(n1, n5) = n6
% 49.93/7.58 | (29) sum(n1, n6) = n7
% 49.93/7.58 | (30) sum(n1, n7) = n8
% 49.93/7.58 | (31) sum(n1, n8) = n9
% 49.93/7.58 | (32) sum(n1, n9) = n10
% 49.93/7.58 | (33) sum(n1, n10) = n11
% 49.93/7.58 | (34) sum(n1, n11) = n12
% 49.93/7.58 | (35) sum(n1, n12) = n13
% 49.93/7.58 | (36) sum(n1, n13) = n14
% 49.93/7.58 | (37) sum(n1, n14) = n15
% 49.93/7.58 | (38) sum(n1, n15) = n0
% 49.93/7.58 | (39) sum(n2, n0) = n2
% 49.93/7.58 | (40) sum(n2, n1) = n3
% 49.93/7.58 | (41) sum(n2, n2) = n4
% 49.93/7.58 | (42) sum(n2, n3) = n5
% 49.93/7.58 | (43) sum(n2, n4) = n6
% 49.93/7.58 | (44) sum(n2, n5) = n7
% 49.93/7.58 | (45) sum(n2, n6) = n8
% 49.93/7.58 | (46) sum(n2, n7) = n9
% 49.93/7.58 | (47) sum(n2, n8) = n10
% 49.93/7.58 | (48) sum(n2, n9) = n11
% 49.93/7.58 | (49) sum(n2, n10) = n12
% 49.93/7.58 | (50) sum(n2, n11) = n13
% 49.93/7.58 | (51) sum(n2, n12) = n14
% 49.93/7.58 | (52) sum(n2, n13) = n15
% 49.93/7.58 | (53) sum(n2, n14) = n0
% 49.93/7.58 | (54) sum(n2, n15) = n1
% 49.93/7.58 | (55) sum(n3, n0) = n3
% 49.93/7.58 | (56) sum(n3, n1) = n4
% 49.93/7.58 | (57) sum(n3, n2) = n5
% 49.93/7.58 | (58) sum(n3, n3) = n6
% 49.93/7.58 | (59) sum(n3, n4) = n7
% 49.93/7.58 | (60) sum(n3, n5) = n8
% 49.93/7.58 | (61) sum(n3, n6) = n9
% 49.93/7.58 | (62) sum(n3, n7) = n10
% 49.93/7.58 | (63) sum(n3, n8) = n11
% 49.93/7.58 | (64) sum(n3, n9) = n12
% 49.93/7.58 | (65) sum(n3, n10) = n13
% 49.93/7.58 | (66) sum(n3, n11) = n14
% 49.93/7.58 | (67) sum(n3, n12) = n15
% 49.93/7.58 | (68) sum(n3, n13) = n0
% 49.93/7.58 | (69) sum(n3, n14) = n1
% 49.93/7.58 | (70) sum(n3, n15) = n2
% 49.93/7.58 | (71) sum(n4, n0) = n4
% 49.93/7.58 | (72) sum(n4, n1) = n5
% 49.93/7.58 | (73) sum(n4, n2) = n6
% 49.93/7.58 | (74) sum(n4, n3) = n7
% 49.93/7.58 | (75) sum(n4, n4) = n8
% 49.93/7.58 | (76) sum(n4, n5) = n9
% 49.93/7.58 | (77) sum(n4, n6) = n10
% 49.93/7.58 | (78) sum(n4, n7) = n11
% 49.93/7.58 | (79) sum(n4, n8) = n12
% 49.93/7.58 | (80) sum(n4, n9) = n13
% 49.93/7.58 | (81) sum(n4, n10) = n14
% 49.93/7.58 | (82) sum(n4, n11) = n15
% 49.93/7.58 | (83) sum(n4, n12) = n0
% 49.93/7.58 | (84) sum(n4, n13) = n1
% 49.93/7.58 | (85) sum(n4, n14) = n2
% 49.93/7.58 | (86) sum(n4, n15) = n3
% 49.93/7.58 | (87) sum(n5, n0) = n5
% 49.93/7.58 | (88) sum(n5, n1) = n6
% 49.93/7.58 | (89) sum(n5, n2) = n7
% 49.93/7.59 | (90) sum(n5, n3) = n8
% 49.93/7.59 | (91) sum(n5, n4) = n9
% 49.93/7.59 | (92) sum(n5, n5) = n10
% 49.93/7.59 | (93) sum(n5, n6) = n11
% 49.93/7.59 | (94) sum(n5, n7) = n12
% 49.93/7.59 | (95) sum(n5, n8) = n13
% 49.93/7.59 | (96) sum(n5, n9) = n14
% 49.93/7.59 | (97) sum(n5, n10) = n15
% 49.93/7.59 | (98) sum(n5, n11) = n0
% 49.93/7.59 | (99) sum(n5, n12) = n1
% 49.93/7.59 | (100) sum(n5, n13) = n2
% 49.93/7.59 | (101) sum(n5, n14) = n3
% 49.93/7.59 | (102) sum(n5, n15) = n4
% 49.93/7.59 | (103) sum(n6, n0) = n6
% 49.93/7.59 | (104) sum(n6, n1) = n7
% 49.93/7.59 | (105) sum(n6, n2) = n8
% 49.93/7.59 | (106) sum(n6, n3) = n9
% 49.93/7.59 | (107) sum(n6, n4) = n10
% 49.93/7.59 | (108) sum(n6, n5) = n11
% 49.93/7.59 | (109) sum(n6, n6) = n12
% 49.93/7.59 | (110) sum(n6, n7) = n13
% 49.93/7.59 | (111) sum(n6, n8) = n14
% 49.93/7.59 | (112) sum(n6, n9) = n15
% 49.93/7.59 | (113) sum(n6, n10) = n0
% 49.93/7.59 | (114) sum(n6, n11) = n1
% 49.93/7.59 | (115) sum(n6, n12) = n2
% 49.93/7.59 | (116) sum(n6, n13) = n3
% 49.93/7.59 | (117) sum(n6, n14) = n4
% 49.93/7.59 | (118) sum(n6, n15) = n5
% 49.93/7.59 | (119) sum(n7, n0) = n7
% 49.93/7.59 | (120) sum(n7, n1) = n8
% 49.93/7.59 | (121) sum(n7, n2) = n9
% 49.93/7.59 | (122) sum(n7, n3) = n10
% 49.93/7.59 | (123) sum(n7, n4) = n11
% 49.93/7.59 | (124) sum(n7, n5) = n12
% 49.93/7.59 | (125) sum(n7, n6) = n13
% 49.93/7.59 | (126) sum(n7, n7) = n14
% 49.93/7.59 | (127) sum(n7, n8) = n15
% 49.93/7.59 | (128) sum(n7, n9) = n0
% 49.93/7.59 | (129) sum(n7, n10) = n1
% 49.93/7.59 | (130) sum(n7, n11) = n2
% 49.93/7.59 | (131) sum(n7, n12) = n3
% 49.93/7.59 | (132) sum(n7, n13) = n4
% 49.93/7.59 | (133) sum(n7, n14) = n5
% 49.93/7.59 | (134) sum(n7, n15) = n6
% 49.93/7.59 | (135) sum(n8, n0) = n8
% 49.93/7.59 | (136) sum(n8, n1) = n9
% 49.93/7.59 | (137) sum(n8, n2) = n10
% 49.93/7.59 | (138) sum(n8, n3) = n11
% 49.93/7.59 | (139) sum(n8, n4) = n12
% 49.93/7.59 | (140) sum(n8, n5) = n13
% 49.93/7.59 | (141) sum(n8, n6) = n14
% 49.93/7.59 | (142) sum(n8, n7) = n15
% 49.93/7.59 | (143) sum(n8, n8) = n0
% 49.93/7.59 | (144) sum(n8, n9) = n1
% 49.93/7.59 | (145) sum(n8, n10) = n2
% 49.93/7.59 | (146) sum(n8, n11) = n3
% 49.93/7.59 | (147) sum(n8, n12) = n4
% 49.93/7.59 | (148) sum(n8, n13) = n5
% 49.93/7.59 | (149) sum(n8, n14) = n6
% 49.93/7.59 | (150) sum(n8, n15) = n7
% 49.93/7.59 | (151) sum(n9, n0) = n9
% 49.93/7.59 | (152) sum(n9, n1) = n10
% 49.93/7.59 | (153) sum(n9, n2) = n11
% 49.93/7.59 | (154) sum(n9, n3) = n12
% 49.93/7.59 | (155) sum(n9, n4) = n13
% 49.93/7.59 | (156) sum(n9, n5) = n14
% 49.93/7.59 | (157) sum(n9, n6) = n15
% 49.93/7.59 | (158) sum(n9, n7) = n0
% 49.93/7.59 | (159) sum(n9, n8) = n1
% 49.93/7.59 | (160) sum(n9, n9) = n2
% 49.93/7.59 | (161) sum(n9, n10) = n3
% 49.93/7.59 | (162) sum(n9, n11) = n4
% 49.93/7.59 | (163) sum(n9, n12) = n5
% 49.93/7.59 | (164) sum(n9, n13) = n6
% 49.93/7.59 | (165) sum(n9, n14) = n7
% 49.93/7.59 | (166) sum(n9, n15) = n8
% 49.93/7.59 | (167) sum(n10, n0) = n10
% 49.93/7.59 | (168) sum(n10, n1) = n11
% 49.93/7.59 | (169) sum(n10, n2) = n12
% 49.93/7.59 | (170) sum(n10, n3) = n13
% 49.93/7.59 | (171) sum(n10, n4) = n14
% 49.93/7.59 | (172) sum(n10, n5) = n15
% 49.93/7.59 | (173) sum(n10, n6) = n0
% 49.93/7.59 | (174) sum(n10, n7) = n1
% 50.28/7.59 | (175) sum(n10, n8) = n2
% 50.28/7.59 | (176) sum(n10, n9) = n3
% 50.28/7.59 | (177) sum(n10, n10) = n4
% 50.28/7.59 | (178) sum(n10, n11) = n5
% 50.28/7.59 | (179) sum(n10, n12) = n6
% 50.28/7.60 | (180) sum(n10, n13) = n7
% 50.28/7.60 | (181) sum(n10, n14) = n8
% 50.28/7.60 | (182) sum(n10, n15) = n9
% 50.28/7.60 | (183) sum(n11, n0) = n11
% 50.28/7.60 | (184) sum(n11, n1) = n12
% 50.28/7.60 | (185) sum(n11, n2) = n13
% 50.28/7.60 | (186) sum(n11, n3) = n14
% 50.28/7.60 | (187) sum(n11, n4) = n15
% 50.28/7.60 | (188) sum(n11, n5) = n0
% 50.28/7.60 | (189) sum(n11, n6) = n1
% 50.28/7.60 | (190) sum(n11, n7) = n2
% 50.28/7.60 | (191) sum(n11, n8) = n3
% 50.28/7.60 | (192) sum(n11, n9) = n4
% 50.28/7.60 | (193) sum(n11, n10) = n5
% 50.28/7.60 | (194) sum(n11, n11) = n6
% 50.28/7.60 | (195) sum(n11, n12) = n7
% 50.28/7.60 | (196) sum(n11, n13) = n8
% 50.28/7.60 | (197) sum(n11, n14) = n9
% 50.28/7.60 | (198) sum(n11, n15) = n10
% 50.28/7.60 | (199) sum(n12, n0) = n12
% 50.28/7.60 | (200) sum(n12, n1) = n13
% 50.28/7.60 | (201) sum(n12, n2) = n14
% 50.28/7.60 | (202) sum(n12, n3) = n15
% 50.28/7.60 | (203) sum(n12, n4) = n0
% 50.28/7.60 | (204) sum(n12, n5) = n1
% 50.28/7.60 | (205) sum(n12, n6) = n2
% 50.28/7.60 | (206) sum(n12, n7) = n3
% 50.28/7.60 | (207) sum(n12, n8) = n4
% 50.28/7.60 | (208) sum(n12, n9) = n5
% 50.28/7.60 | (209) sum(n12, n10) = n6
% 50.28/7.60 | (210) sum(n12, n11) = n7
% 50.28/7.60 | (211) sum(n12, n12) = n8
% 50.28/7.60 | (212) sum(n12, n13) = n9
% 50.28/7.60 | (213) sum(n12, n14) = n10
% 50.28/7.60 | (214) sum(n12, n15) = n11
% 50.28/7.60 | (215) sum(n13, n0) = n13
% 50.28/7.60 | (216) sum(n13, n1) = n14
% 50.28/7.60 | (217) sum(n13, n2) = n15
% 50.28/7.60 | (218) sum(n13, n3) = n0
% 50.28/7.60 | (219) sum(n13, n4) = n1
% 50.28/7.60 | (220) sum(n13, n5) = n2
% 50.28/7.60 | (221) sum(n13, n6) = n3
% 50.28/7.60 | (222) sum(n13, n7) = n4
% 50.28/7.60 | (223) sum(n13, n8) = n5
% 50.28/7.60 | (224) sum(n13, n9) = n6
% 50.28/7.60 | (225) sum(n13, n10) = n7
% 50.28/7.60 | (226) sum(n13, n11) = n8
% 50.28/7.60 | (227) sum(n13, n12) = n9
% 50.28/7.60 | (228) sum(n13, n13) = n10
% 50.28/7.60 | (229) sum(n13, n14) = n11
% 50.28/7.60 | (230) sum(n13, n15) = n12
% 50.28/7.60 | (231) sum(n14, n0) = n14
% 50.28/7.60 | (232) sum(n14, n1) = n15
% 50.28/7.60 | (233) sum(n14, n2) = n0
% 50.28/7.60 | (234) sum(n14, n3) = n1
% 50.28/7.60 | (235) sum(n14, n4) = n2
% 50.28/7.60 | (236) sum(n14, n5) = n3
% 50.28/7.60 | (237) sum(n14, n6) = n4
% 50.28/7.60 | (238) sum(n14, n7) = n5
% 50.28/7.60 | (239) sum(n14, n8) = n6
% 50.28/7.60 | (240) sum(n14, n9) = n7
% 50.28/7.60 | (241) sum(n14, n10) = n8
% 50.28/7.60 | (242) sum(n14, n11) = n9
% 50.28/7.60 | (243) sum(n14, n12) = n10
% 50.28/7.60 | (244) sum(n14, n13) = n11
% 50.28/7.60 | (245) sum(n14, n14) = n12
% 50.28/7.60 | (246) sum(n14, n15) = n13
% 50.28/7.60 | (247) sum(n15, n0) = n15
% 50.28/7.60 | (248) sum(n15, n1) = n0
% 50.28/7.60 | (249) sum(n15, n2) = n1
% 50.28/7.60 | (250) sum(n15, n3) = n2
% 50.28/7.60 | (251) sum(n15, n4) = n3
% 50.28/7.60 | (252) sum(n15, n5) = n4
% 50.28/7.60 | (253) sum(n15, n6) = n5
% 50.28/7.60 | (254) sum(n15, n7) = n6
% 50.28/7.60 | (255) sum(n15, n8) = n7
% 50.28/7.60 | (256) sum(n15, n9) = n8
% 50.28/7.60 | (257) sum(n15, n10) = n9
% 50.28/7.60 | (258) sum(n15, n11) = n10
% 50.28/7.60 | (259) sum(n15, n12) = n11
% 50.28/7.60 | (260) sum(n15, n13) = n12
% 50.28/7.60 | (261) sum(n15, n14) = n13
% 50.28/7.60 | (262) sum(n15, n15) = n14
% 50.28/7.60 | (263) sum(all_4_9, all_4_8) = all_4_7
% 50.28/7.60 | (264) sum(all_4_9, all_4_5) = all_4_2
% 50.28/7.60 | (265) sum(all_4_7, all_4_4) = all_4_3
% 50.28/7.60 | (266) sum(all_4_6, all_4_8) = all_4_1
% 50.28/7.60 | (267) sum(all_4_6, all_4_5) = all_4_4
% 50.28/7.60 | (268) sum(all_4_2, all_4_1) = all_4_0
% 50.28/7.60 | (269) succ(n0) = n1
% 50.28/7.60 | (270) succ(n1) = n2
% 50.28/7.60 | (271) succ(n2) = n3
% 50.28/7.60 | (272) succ(n3) = n4
% 50.28/7.60 | (273) succ(n4) = n5
% 50.28/7.60 | (274) succ(n5) = n6
% 50.28/7.60 | (275) succ(n6) = n7
% 50.28/7.60 | (276) succ(n7) = n8
% 50.28/7.61 | (277) succ(n8) = n9
% 50.28/7.61 | (278) succ(n9) = n10
% 50.28/7.61 | (279) succ(n10) = n11
% 50.28/7.61 | (280) succ(n11) = n12
% 50.28/7.61 | (281) succ(n12) = n13
% 50.28/7.61 | (282) succ(n13) = n14
% 50.28/7.61 | (283) succ(n14) = n15
% 50.28/7.61 | (284) succ(n15) = n0
% 50.28/7.61 | (285) succ(all_4_11) = all_4_5
% 50.28/7.61 | (286) succ(all_4_10) = all_4_8
% 50.28/7.61 | (287) pred(n0) = n15
% 50.28/7.61 | (288) pred(n1) = n0
% 50.28/7.61 | (289) pred(n2) = n1
% 50.28/7.61 | (290) pred(n3) = n2
% 50.28/7.61 | (291) pred(n4) = n3
% 50.28/7.61 | (292) pred(n5) = n4
% 50.28/7.61 | (293) pred(n6) = n5
% 50.28/7.61 | (294) pred(n7) = n6
% 50.28/7.61 | (295) pred(n8) = n7
% 50.28/7.61 | (296) pred(n9) = n8
% 50.28/7.61 | (297) pred(n10) = n9
% 50.28/7.61 | (298) pred(n11) = n10
% 50.28/7.61 | (299) pred(n12) = n11
% 50.28/7.61 | (300) pred(n13) = n12
% 50.28/7.61 | (301) pred(n14) = n13
% 50.28/7.61 | (302) pred(n15) = n14
% 50.28/7.61 | (303) pred(all_4_11) = all_4_9
% 50.28/7.61 | (304) pred(all_4_10) = all_4_6
% 50.28/7.61 | (305) all_4_11 = n15 | all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 |
% 50.28/7.61 | all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 |
% 50.28/7.61 | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 50.28/7.61 | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.28/7.61 | (306) all_4_10 = n15 | all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 |
% 50.28/7.61 | all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 50.28/7.61 | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.28/7.61 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.61 |
% 50.28/7.61 | BETA: splitting (305) gives:
% 50.28/7.61 |
% 50.28/7.61 | Case 1:
% 50.28/7.61 | |
% 50.28/7.61 | | (307) all_4_11 = n15
% 50.28/7.61 | |
% 50.28/7.61 | | REDUCE: (303), (307) imply:
% 50.28/7.61 | | (308) pred(n15) = all_4_9
% 50.28/7.61 | |
% 50.28/7.61 | | REDUCE: (285), (307) imply:
% 50.28/7.61 | | (309) succ(n15) = all_4_5
% 50.28/7.61 | |
% 50.28/7.61 | | GROUND_INST: instantiating (2) with n0, all_4_5, n15, simplifying with
% 50.28/7.61 | | (284), (309) gives:
% 50.28/7.61 | | (310) all_4_5 = n0
% 50.28/7.61 | |
% 50.28/7.61 | | GROUND_INST: instantiating (3) with n14, all_4_9, n15, simplifying with
% 50.28/7.61 | | (302), (308) gives:
% 50.28/7.61 | | (311) all_4_9 = n14
% 50.28/7.61 | |
% 50.28/7.61 | | REDUCE: (267), (310) imply:
% 50.28/7.61 | | (312) sum(all_4_6, n0) = all_4_4
% 50.28/7.61 | |
% 50.28/7.61 | | REDUCE: (264), (310), (311) imply:
% 50.28/7.61 | | (313) sum(n14, n0) = all_4_2
% 50.28/7.61 | |
% 50.28/7.61 | | REDUCE: (263), (311) imply:
% 50.28/7.61 | | (314) sum(n14, all_4_8) = all_4_7
% 50.28/7.61 | |
% 50.28/7.61 | | GROUND_INST: instantiating (4) with n14, all_4_2, n0, n14, simplifying with
% 50.28/7.61 | | (231), (313) gives:
% 50.28/7.61 | | (315) all_4_2 = n14
% 50.28/7.61 | |
% 50.28/7.61 | | REDUCE: (268), (315) imply:
% 50.28/7.61 | | (316) sum(n14, all_4_1) = all_4_0
% 50.28/7.61 | |
% 50.28/7.61 | | BETA: splitting (306) gives:
% 50.28/7.61 | |
% 50.28/7.61 | | Case 1:
% 50.28/7.61 | | |
% 50.28/7.61 | | | (317) all_4_10 = n15
% 50.28/7.61 | | |
% 50.28/7.61 | | | REDUCE: (304), (317) imply:
% 50.28/7.61 | | | (318) pred(n15) = all_4_6
% 50.28/7.61 | | |
% 50.28/7.61 | | | REDUCE: (286), (317) imply:
% 50.28/7.61 | | | (319) succ(n15) = all_4_8
% 50.28/7.61 | | |
% 50.28/7.61 | | | GROUND_INST: instantiating (2) with n0, all_4_8, n15, simplifying with
% 50.28/7.61 | | | (284), (319) gives:
% 50.28/7.61 | | | (320) all_4_8 = n0
% 50.28/7.61 | | |
% 50.28/7.61 | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, simplifying with
% 50.28/7.61 | | | (302), (318) gives:
% 50.28/7.61 | | | (321) all_4_6 = n14
% 50.28/7.61 | | |
% 50.28/7.61 | | | REDUCE: (266), (320), (321) imply:
% 50.28/7.61 | | | (322) sum(n14, n0) = all_4_1
% 50.28/7.61 | | |
% 50.28/7.61 | | | REDUCE: (312), (321) imply:
% 50.28/7.61 | | | (323) sum(n14, n0) = all_4_4
% 50.28/7.61 | | |
% 50.28/7.61 | | | REDUCE: (314), (320) imply:
% 50.28/7.61 | | | (324) sum(n14, n0) = all_4_7
% 50.28/7.61 | | |
% 50.28/7.61 | | | GROUND_INST: instantiating (4) with n14, all_4_4, n0, n14, simplifying
% 50.28/7.61 | | | with (231), (323) gives:
% 50.28/7.61 | | | (325) all_4_4 = n14
% 50.28/7.61 | | |
% 50.28/7.61 | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n0, n14, simplifying
% 50.28/7.61 | | | with (322), (323) gives:
% 50.28/7.61 | | | (326) all_4_1 = all_4_4
% 50.28/7.61 | | |
% 50.28/7.61 | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n0, n14, simplifying
% 50.28/7.61 | | | with (322), (324) gives:
% 50.28/7.61 | | | (327) all_4_1 = all_4_7
% 50.28/7.62 | | |
% 50.28/7.62 | | | REF_CLOSE: (4), (6), (245), (265), (316), (325), (326), (327) are
% 50.28/7.62 | | | inconsistent by sub-proof #131.
% 50.28/7.62 | | |
% 50.28/7.62 | | Case 2:
% 50.28/7.62 | | |
% 50.28/7.62 | | | (328) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11
% 50.28/7.62 | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7
% 50.28/7.62 | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.28/7.62 | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.62 | | |
% 50.28/7.62 | | | BETA: splitting (328) gives:
% 50.28/7.62 | | |
% 50.28/7.62 | | | Case 1:
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | (329) all_4_10 = n14
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | REDUCE: (304), (329) imply:
% 50.28/7.62 | | | | (330) pred(n14) = all_4_6
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | REDUCE: (286), (329) imply:
% 50.28/7.62 | | | | (331) succ(n14) = all_4_8
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, simplifying with
% 50.28/7.62 | | | | (283), (331) gives:
% 50.28/7.62 | | | | (332) all_4_8 = n15
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, simplifying with
% 50.28/7.62 | | | | (301), (330) gives:
% 50.28/7.62 | | | | (333) all_4_6 = n13
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | REDUCE: (266), (332), (333) imply:
% 50.28/7.62 | | | | (334) sum(n13, n15) = all_4_1
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | REDUCE: (312), (333) imply:
% 50.28/7.62 | | | | (335) sum(n13, n0) = all_4_4
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | REDUCE: (314), (332) imply:
% 50.28/7.62 | | | | (336) sum(n14, n15) = all_4_7
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n0, n13, simplifying
% 50.28/7.62 | | | | with (215), (335) gives:
% 50.28/7.62 | | | | (337) all_4_4 = n13
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n15, n13, simplifying
% 50.28/7.62 | | | | with (230), (334) gives:
% 50.28/7.62 | | | | (338) all_4_1 = n12
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n15, n14, simplifying
% 50.28/7.62 | | | | with (246), (336) gives:
% 50.28/7.62 | | | | (339) all_4_7 = n13
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | REF_CLOSE: (4), (6), (228), (243), (265), (316), (337), (338), (339) are
% 50.28/7.62 | | | | inconsistent by sub-proof #130.
% 50.28/7.62 | | | |
% 50.28/7.62 | | | Case 2:
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | (340) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 =
% 50.28/7.62 | | | | n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10
% 50.28/7.62 | | | | = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10
% 50.28/7.62 | | | | = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | BETA: splitting (340) gives:
% 50.28/7.62 | | | |
% 50.28/7.62 | | | | Case 1:
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | (341) all_4_10 = n13
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | REDUCE: (304), (341) imply:
% 50.28/7.62 | | | | | (342) pred(n13) = all_4_6
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | REDUCE: (286), (341) imply:
% 50.28/7.62 | | | | | (343) succ(n13) = all_4_8
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, simplifying
% 50.28/7.62 | | | | | with (282), (343) gives:
% 50.28/7.62 | | | | | (344) all_4_8 = n14
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, simplifying
% 50.28/7.62 | | | | | with (300), (342) gives:
% 50.28/7.62 | | | | | (345) all_4_6 = n12
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | REDUCE: (266), (344), (345) imply:
% 50.28/7.62 | | | | | (346) sum(n12, n14) = all_4_1
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | REDUCE: (312), (345) imply:
% 50.28/7.62 | | | | | (347) sum(n12, n0) = all_4_4
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | REDUCE: (314), (344) imply:
% 50.28/7.62 | | | | | (348) sum(n14, n14) = all_4_7
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n0, n12, simplifying
% 50.28/7.62 | | | | | with (199), (347) gives:
% 50.28/7.62 | | | | | (349) all_4_4 = n12
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n14, n12,
% 50.28/7.62 | | | | | simplifying with (213), (346) gives:
% 50.28/7.62 | | | | | (350) all_4_1 = n10
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n14, n14,
% 50.28/7.62 | | | | | simplifying with (245), (348) gives:
% 50.28/7.62 | | | | | (351) all_4_7 = n12
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | REF_CLOSE: (4), (6), (211), (241), (265), (316), (349), (350), (351)
% 50.28/7.62 | | | | | are inconsistent by sub-proof #129.
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | Case 2:
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | (352) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | all_4_10 =
% 50.28/7.62 | | | | | n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | all_4_10
% 50.28/7.62 | | | | | = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.28/7.62 | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | BETA: splitting (352) gives:
% 50.28/7.62 | | | | |
% 50.28/7.62 | | | | | Case 1:
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | (353) all_4_10 = n12
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | REDUCE: (304), (353) imply:
% 50.28/7.62 | | | | | | (354) pred(n12) = all_4_6
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | REDUCE: (286), (353) imply:
% 50.28/7.62 | | | | | | (355) succ(n12) = all_4_8
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, simplifying
% 50.28/7.62 | | | | | | with (281), (355) gives:
% 50.28/7.62 | | | | | | (356) all_4_8 = n13
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, simplifying
% 50.28/7.62 | | | | | | with (299), (354) gives:
% 50.28/7.62 | | | | | | (357) all_4_6 = n11
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | REDUCE: (266), (356), (357) imply:
% 50.28/7.62 | | | | | | (358) sum(n11, n13) = all_4_1
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | REDUCE: (312), (357) imply:
% 50.28/7.62 | | | | | | (359) sum(n11, n0) = all_4_4
% 50.28/7.62 | | | | | |
% 50.28/7.62 | | | | | | REDUCE: (314), (356) imply:
% 50.28/7.62 | | | | | | (360) sum(n14, n13) = all_4_7
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n0, n11,
% 50.28/7.63 | | | | | | simplifying with (183), (359) gives:
% 50.28/7.63 | | | | | | (361) all_4_4 = n11
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n13, n11,
% 50.28/7.63 | | | | | | simplifying with (196), (358) gives:
% 50.28/7.63 | | | | | | (362) all_4_1 = n8
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n13, n14,
% 50.28/7.63 | | | | | | simplifying with (244), (360) gives:
% 50.28/7.63 | | | | | | (363) all_4_7 = n11
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | REF_CLOSE: (4), (6), (194), (239), (265), (316), (361), (362), (363)
% 50.28/7.63 | | | | | | are inconsistent by sub-proof #128.
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | Case 2:
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | (364) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 | all_4_10
% 50.28/7.63 | | | | | | = n8 | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 50.28/7.63 | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 | all_4_10 =
% 50.28/7.63 | | | | | | n1 | all_4_10 = n0
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | BETA: splitting (364) gives:
% 50.28/7.63 | | | | | |
% 50.28/7.63 | | | | | | Case 1:
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | (365) all_4_10 = n11
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | REDUCE: (304), (365) imply:
% 50.28/7.63 | | | | | | | (366) pred(n11) = all_4_6
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | REDUCE: (286), (365) imply:
% 50.28/7.63 | | | | | | | (367) succ(n11) = all_4_8
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11, simplifying
% 50.28/7.63 | | | | | | | with (280), (367) gives:
% 50.28/7.63 | | | | | | | (368) all_4_8 = n12
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11, simplifying
% 50.28/7.63 | | | | | | | with (298), (366) gives:
% 50.28/7.63 | | | | | | | (369) all_4_6 = n10
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | REDUCE: (266), (368), (369) imply:
% 50.28/7.63 | | | | | | | (370) sum(n10, n12) = all_4_1
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | REDUCE: (312), (369) imply:
% 50.28/7.63 | | | | | | | (371) sum(n10, n0) = all_4_4
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | REDUCE: (314), (368) imply:
% 50.28/7.63 | | | | | | | (372) sum(n14, n12) = all_4_7
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n0, n10,
% 50.28/7.63 | | | | | | | simplifying with (167), (371) gives:
% 50.28/7.63 | | | | | | | (373) all_4_4 = n10
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n12, n10,
% 50.28/7.63 | | | | | | | simplifying with (179), (370) gives:
% 50.28/7.63 | | | | | | | (374) all_4_1 = n6
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n12, n14,
% 50.28/7.63 | | | | | | | simplifying with (243), (372) gives:
% 50.28/7.63 | | | | | | | (375) all_4_7 = n10
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | REF_CLOSE: (4), (6), (177), (237), (265), (316), (373), (374),
% 50.28/7.63 | | | | | | | (375) are inconsistent by sub-proof #127.
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | Case 2:
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | (376) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10
% 50.28/7.63 | | | | | | | = n7 | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.28/7.63 | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 | all_4_10
% 50.28/7.63 | | | | | | | = n0
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | BETA: splitting (376) gives:
% 50.28/7.63 | | | | | | |
% 50.28/7.63 | | | | | | | Case 1:
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | (377) all_4_10 = n10
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | REDUCE: (304), (377) imply:
% 50.28/7.63 | | | | | | | | (378) pred(n10) = all_4_6
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | REDUCE: (286), (377) imply:
% 50.28/7.63 | | | | | | | | (379) succ(n10) = all_4_8
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 50.28/7.63 | | | | | | | | simplifying with (279), (379) gives:
% 50.28/7.63 | | | | | | | | (380) all_4_8 = n11
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 50.28/7.63 | | | | | | | | simplifying with (297), (378) gives:
% 50.28/7.63 | | | | | | | | (381) all_4_6 = n9
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | REDUCE: (266), (380), (381) imply:
% 50.28/7.63 | | | | | | | | (382) sum(n9, n11) = all_4_1
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | REDUCE: (312), (381) imply:
% 50.28/7.63 | | | | | | | | (383) sum(n9, n0) = all_4_4
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | REDUCE: (314), (380) imply:
% 50.28/7.63 | | | | | | | | (384) sum(n14, n11) = all_4_7
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n0, n9,
% 50.28/7.63 | | | | | | | | simplifying with (151), (383) gives:
% 50.28/7.63 | | | | | | | | (385) all_4_4 = n9
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n11, n9,
% 50.28/7.63 | | | | | | | | simplifying with (162), (382) gives:
% 50.28/7.63 | | | | | | | | (386) all_4_1 = n4
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n11, n14,
% 50.28/7.63 | | | | | | | | simplifying with (242), (384) gives:
% 50.28/7.63 | | | | | | | | (387) all_4_7 = n9
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | REF_CLOSE: (4), (6), (160), (235), (265), (316), (385), (386),
% 50.28/7.63 | | | | | | | | (387) are inconsistent by sub-proof #126.
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | Case 2:
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | (388) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 50.28/7.63 | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.28/7.63 | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.28/7.63 | | | | | | | | all_4_10 = n0
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | BETA: splitting (388) gives:
% 50.28/7.63 | | | | | | | |
% 50.28/7.63 | | | | | | | | Case 1:
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | (389) all_4_10 = n9
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | REDUCE: (304), (389) imply:
% 50.28/7.63 | | | | | | | | | (390) pred(n9) = all_4_6
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | REDUCE: (286), (389) imply:
% 50.28/7.63 | | | | | | | | | (391) succ(n9) = all_4_8
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 50.28/7.63 | | | | | | | | | simplifying with (278), (391) gives:
% 50.28/7.63 | | | | | | | | | (392) all_4_8 = n10
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 50.28/7.63 | | | | | | | | | simplifying with (296), (390) gives:
% 50.28/7.63 | | | | | | | | | (393) all_4_6 = n8
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | REDUCE: (266), (392), (393) imply:
% 50.28/7.63 | | | | | | | | | (394) sum(n8, n10) = all_4_1
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | REDUCE: (312), (393) imply:
% 50.28/7.63 | | | | | | | | | (395) sum(n8, n0) = all_4_4
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | REDUCE: (314), (392) imply:
% 50.28/7.63 | | | | | | | | | (396) sum(n14, n10) = all_4_7
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n0, n8,
% 50.28/7.63 | | | | | | | | | simplifying with (135), (395) gives:
% 50.28/7.63 | | | | | | | | | (397) all_4_4 = n8
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 50.28/7.63 | | | | | | | | | simplifying with (145), (394) gives:
% 50.28/7.63 | | | | | | | | | (398) all_4_1 = n2
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n10, n14,
% 50.28/7.63 | | | | | | | | | simplifying with (241), (396) gives:
% 50.28/7.63 | | | | | | | | | (399) all_4_7 = n8
% 50.28/7.63 | | | | | | | | |
% 50.28/7.63 | | | | | | | | | REF_CLOSE: (4), (6), (143), (233), (265), (316), (397), (398),
% 50.28/7.63 | | | | | | | | | (399) are inconsistent by sub-proof #125.
% 50.28/7.63 | | | | | | | | |
% 50.28/7.64 | | | | | | | | Case 2:
% 50.28/7.64 | | | | | | | | |
% 50.28/7.64 | | | | | | | | | (400) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 50.28/7.64 | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.28/7.64 | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.64 | | | | | | | | |
% 50.28/7.64 | | | | | | | | | BETA: splitting (400) gives:
% 50.28/7.64 | | | | | | | | |
% 50.28/7.64 | | | | | | | | | Case 1:
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | (401) all_4_10 = n8
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | REDUCE: (304), (401) imply:
% 50.28/7.64 | | | | | | | | | | (402) pred(n8) = all_4_6
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | REDUCE: (286), (401) imply:
% 50.28/7.64 | | | | | | | | | | (403) succ(n8) = all_4_8
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 50.28/7.64 | | | | | | | | | | simplifying with (277), (403) gives:
% 50.28/7.64 | | | | | | | | | | (404) all_4_8 = n9
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 50.28/7.64 | | | | | | | | | | simplifying with (295), (402) gives:
% 50.28/7.64 | | | | | | | | | | (405) all_4_6 = n7
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | REDUCE: (266), (404), (405) imply:
% 50.28/7.64 | | | | | | | | | | (406) sum(n7, n9) = all_4_1
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | REDUCE: (312), (405) imply:
% 50.28/7.64 | | | | | | | | | | (407) sum(n7, n0) = all_4_4
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | REDUCE: (314), (404) imply:
% 50.28/7.64 | | | | | | | | | | (408) sum(n14, n9) = all_4_7
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n0, n7,
% 50.28/7.64 | | | | | | | | | | simplifying with (119), (407) gives:
% 50.28/7.64 | | | | | | | | | | (409) all_4_4 = n7
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 50.28/7.64 | | | | | | | | | | simplifying with (128), (406) gives:
% 50.28/7.64 | | | | | | | | | | (410) all_4_1 = n0
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n9, n14,
% 50.28/7.64 | | | | | | | | | | simplifying with (240), (408) gives:
% 50.28/7.64 | | | | | | | | | | (411) all_4_7 = n7
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | REF_CLOSE: (4), (6), (126), (231), (265), (316), (409),
% 50.28/7.64 | | | | | | | | | | (410), (411) are inconsistent by sub-proof #124.
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | Case 2:
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | (412) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 50.28/7.64 | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.28/7.64 | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | BETA: splitting (412) gives:
% 50.28/7.64 | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | Case 1:
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | (413) all_4_10 = n7
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (304), (413) imply:
% 50.28/7.64 | | | | | | | | | | | (414) pred(n7) = all_4_6
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (286), (413) imply:
% 50.28/7.64 | | | | | | | | | | | (415) succ(n7) = all_4_8
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 50.28/7.64 | | | | | | | | | | | simplifying with (276), (415) gives:
% 50.28/7.64 | | | | | | | | | | | (416) all_4_8 = n8
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 50.28/7.64 | | | | | | | | | | | simplifying with (294), (414) gives:
% 50.28/7.64 | | | | | | | | | | | (417) all_4_6 = n6
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (266), (416), (417) imply:
% 50.28/7.64 | | | | | | | | | | | (418) sum(n6, n8) = all_4_1
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (312), (417) imply:
% 50.28/7.64 | | | | | | | | | | | (419) sum(n6, n0) = all_4_4
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (314), (416) imply:
% 50.28/7.64 | | | | | | | | | | | (420) sum(n14, n8) = all_4_7
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n0, n6,
% 50.28/7.64 | | | | | | | | | | | simplifying with (103), (419) gives:
% 50.28/7.64 | | | | | | | | | | | (421) all_4_4 = n6
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 50.28/7.64 | | | | | | | | | | | simplifying with (111), (418) gives:
% 50.28/7.64 | | | | | | | | | | | (422) all_4_1 = n14
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n8, n14,
% 50.28/7.64 | | | | | | | | | | | simplifying with (239), (420) gives:
% 50.28/7.64 | | | | | | | | | | | (423) all_4_7 = n6
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (265), (421), (423) imply:
% 50.28/7.64 | | | | | | | | | | | (424) sum(n6, n6) = all_4_3
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REDUCE: (316), (422) imply:
% 50.28/7.64 | | | | | | | | | | | (425) sum(n14, n14) = all_4_0
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (245), (424), (425) are
% 50.28/7.64 | | | | | | | | | | | inconsistent by sub-proof #123.
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | Case 2:
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | (426) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.28/7.64 | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.28/7.64 | | | | | | | | | | | all_4_10 = n0
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | BETA: splitting (426) gives:
% 50.28/7.64 | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | Case 1:
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | (427) all_4_10 = n6
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (304), (427) imply:
% 50.28/7.64 | | | | | | | | | | | | (428) pred(n6) = all_4_6
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (286), (427) imply:
% 50.28/7.64 | | | | | | | | | | | | (429) succ(n6) = all_4_8
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 50.28/7.64 | | | | | | | | | | | | simplifying with (275), (429) gives:
% 50.28/7.64 | | | | | | | | | | | | (430) all_4_8 = n7
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 50.28/7.64 | | | | | | | | | | | | simplifying with (293), (428) gives:
% 50.28/7.64 | | | | | | | | | | | | (431) all_4_6 = n5
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (266), (430), (431) imply:
% 50.28/7.64 | | | | | | | | | | | | (432) sum(n5, n7) = all_4_1
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (312), (431) imply:
% 50.28/7.64 | | | | | | | | | | | | (433) sum(n5, n0) = all_4_4
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (314), (430) imply:
% 50.28/7.64 | | | | | | | | | | | | (434) sum(n14, n7) = all_4_7
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n0, n5,
% 50.28/7.64 | | | | | | | | | | | | simplifying with (87), (433) gives:
% 50.28/7.64 | | | | | | | | | | | | (435) all_4_4 = n5
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 50.28/7.64 | | | | | | | | | | | | simplifying with (94), (432) gives:
% 50.28/7.64 | | | | | | | | | | | | (436) all_4_1 = n12
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n7, n14,
% 50.28/7.64 | | | | | | | | | | | | simplifying with (238), (434) gives:
% 50.28/7.64 | | | | | | | | | | | | (437) all_4_7 = n5
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (265), (435), (437) imply:
% 50.28/7.64 | | | | | | | | | | | | (438) sum(n5, n5) = all_4_3
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REDUCE: (316), (436) imply:
% 50.28/7.64 | | | | | | | | | | | | (439) sum(n14, n12) = all_4_0
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (243), (438), (439) are
% 50.28/7.64 | | | | | | | | | | | | inconsistent by sub-proof #122.
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | Case 2:
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | (440) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.28/7.64 | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | BETA: splitting (440) gives:
% 50.28/7.64 | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | Case 1:
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | (441) all_4_10 = n5
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | REDUCE: (304), (441) imply:
% 50.28/7.64 | | | | | | | | | | | | | (442) pred(n5) = all_4_6
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | REDUCE: (286), (441) imply:
% 50.28/7.64 | | | | | | | | | | | | | (443) succ(n5) = all_4_8
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 50.28/7.64 | | | | | | | | | | | | | simplifying with (274), (443) gives:
% 50.28/7.64 | | | | | | | | | | | | | (444) all_4_8 = n6
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 50.28/7.64 | | | | | | | | | | | | | simplifying with (292), (442) gives:
% 50.28/7.64 | | | | | | | | | | | | | (445) all_4_6 = n4
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | REDUCE: (266), (444), (445) imply:
% 50.28/7.64 | | | | | | | | | | | | | (446) sum(n4, n6) = all_4_1
% 50.28/7.64 | | | | | | | | | | | | |
% 50.28/7.64 | | | | | | | | | | | | | REDUCE: (312), (445) imply:
% 50.28/7.64 | | | | | | | | | | | | | (447) sum(n4, n0) = all_4_4
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | REDUCE: (314), (444) imply:
% 50.28/7.65 | | | | | | | | | | | | | (448) sum(n14, n6) = all_4_7
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n0, n4,
% 50.28/7.65 | | | | | | | | | | | | | simplifying with (71), (447) gives:
% 50.28/7.65 | | | | | | | | | | | | | (449) all_4_4 = n4
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 50.28/7.65 | | | | | | | | | | | | | simplifying with (77), (446) gives:
% 50.28/7.65 | | | | | | | | | | | | | (450) all_4_1 = n10
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n6, n14,
% 50.28/7.65 | | | | | | | | | | | | | simplifying with (237), (448) gives:
% 50.28/7.65 | | | | | | | | | | | | | (451) all_4_7 = n4
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | REDUCE: (265), (449), (451) imply:
% 50.28/7.65 | | | | | | | | | | | | | (452) sum(n4, n4) = all_4_3
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | REDUCE: (316), (450) imply:
% 50.28/7.65 | | | | | | | | | | | | | (453) sum(n14, n10) = all_4_0
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (241), (452), (453) are
% 50.28/7.65 | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | Case 2:
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | (454) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.28/7.65 | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | BETA: splitting (454) gives:
% 50.28/7.65 | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | Case 1:
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | (455) all_4_10 = n4
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (304), (455) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (456) pred(n4) = all_4_6
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (286), (455) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (457) succ(n4) = all_4_8
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 50.28/7.65 | | | | | | | | | | | | | | simplifying with (273), (457) gives:
% 50.28/7.65 | | | | | | | | | | | | | | (458) all_4_8 = n5
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 50.28/7.65 | | | | | | | | | | | | | | simplifying with (291), (456) gives:
% 50.28/7.65 | | | | | | | | | | | | | | (459) all_4_6 = n3
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (266), (458), (459) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (460) sum(n3, n5) = all_4_1
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (312), (459) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (461) sum(n3, n0) = all_4_4
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (314), (458) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (462) sum(n14, n5) = all_4_7
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n0, n3,
% 50.28/7.65 | | | | | | | | | | | | | | simplifying with (55), (461) gives:
% 50.28/7.65 | | | | | | | | | | | | | | (463) all_4_4 = n3
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 50.28/7.65 | | | | | | | | | | | | | | simplifying with (60), (460) gives:
% 50.28/7.65 | | | | | | | | | | | | | | (464) all_4_1 = n8
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n5, n14,
% 50.28/7.65 | | | | | | | | | | | | | | simplifying with (236), (462) gives:
% 50.28/7.65 | | | | | | | | | | | | | | (465) all_4_7 = n3
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (265), (463), (465) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (466) sum(n3, n3) = all_4_3
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REDUCE: (316), (464) imply:
% 50.28/7.65 | | | | | | | | | | | | | | (467) sum(n14, n8) = all_4_0
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (239), (466), (467) are
% 50.28/7.65 | | | | | | | | | | | | | | inconsistent by sub-proof #120.
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | Case 2:
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | (468) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.28/7.65 | | | | | | | | | | | | | | all_4_10 = n0
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 50.28/7.65 | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | Case 1:
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | (469) all_4_10 = n3
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (304), (469) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (470) pred(n3) = all_4_6
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (286), (469) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (471) succ(n3) = all_4_8
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 50.28/7.65 | | | | | | | | | | | | | | | simplifying with (272), (471) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | (472) all_4_8 = n4
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 50.28/7.65 | | | | | | | | | | | | | | | simplifying with (290), (470) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | (473) all_4_6 = n2
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (266), (472), (473) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (474) sum(n2, n4) = all_4_1
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (312), (473) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (475) sum(n2, n0) = all_4_4
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (314), (472) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (476) sum(n14, n4) = all_4_7
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n0, n2,
% 50.28/7.65 | | | | | | | | | | | | | | | simplifying with (39), (475) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | (477) all_4_4 = n2
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 50.28/7.65 | | | | | | | | | | | | | | | simplifying with (43), (474) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | (478) all_4_1 = n6
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n4, n14,
% 50.28/7.65 | | | | | | | | | | | | | | | simplifying with (235), (476) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | (479) all_4_7 = n2
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (265), (477), (479) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (480) sum(n2, n2) = all_4_3
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REDUCE: (316), (478) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | (481) sum(n14, n6) = all_4_0
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (237), (480), (481) are
% 50.28/7.65 | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | Case 2:
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | (482) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 50.28/7.65 | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | Case 1:
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | (483) all_4_10 = n2
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (304), (483) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (484) pred(n2) = all_4_6
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (286), (483) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (485) succ(n2) = all_4_8
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 50.28/7.65 | | | | | | | | | | | | | | | | simplifying with (271), (485) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | | (486) all_4_8 = n3
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 50.28/7.65 | | | | | | | | | | | | | | | | simplifying with (289), (484) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | | (487) all_4_6 = n1
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (266), (486), (487) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (488) sum(n1, n3) = all_4_1
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (312), (487) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (489) sum(n1, n0) = all_4_4
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (314), (486) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (490) sum(n14, n3) = all_4_7
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n0, n1,
% 50.28/7.65 | | | | | | | | | | | | | | | | simplifying with (23), (489) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | | (491) all_4_4 = n1
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 50.28/7.65 | | | | | | | | | | | | | | | | simplifying with (26), (488) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | | (492) all_4_1 = n4
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n3, n14,
% 50.28/7.65 | | | | | | | | | | | | | | | | simplifying with (234), (490) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | | (493) all_4_7 = n1
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (265), (491), (493) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (494) sum(n1, n1) = all_4_3
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REDUCE: (316), (492) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | (495) sum(n14, n4) = all_4_0
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (235), (494), (495) are
% 50.28/7.65 | | | | | | | | | | | | | | | | inconsistent by sub-proof #118.
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | Case 2:
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | (496) all_4_10 = n1 | all_4_10 = n0
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 50.28/7.65 | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | Case 1:
% 50.28/7.65 | | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | | (497) all_4_10 = n1
% 50.28/7.65 | | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | | REDUCE: (304), (497) imply:
% 50.28/7.65 | | | | | | | | | | | | | | | | | (498) pred(n1) = all_4_6
% 50.28/7.65 | | | | | | | | | | | | | | | | |
% 50.28/7.65 | | | | | | | | | | | | | | | | | REDUCE: (286), (497) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (499) succ(n1) = all_4_8
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (270), (499) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (500) all_4_8 = n2
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (288), (498) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (501) all_4_6 = n0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (266), (500), (501) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (502) sum(n0, n2) = all_4_1
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (312), (501) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (503) sum(n0, n0) = all_4_4
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (314), (500) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (504) sum(n14, n2) = all_4_7
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n0, n0,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (7), (503) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (505) all_4_4 = n0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (9), (502) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (506) all_4_1 = n2
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n2, n14,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (233), (504) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (507) all_4_7 = n0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (265), (505), (507) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (508) sum(n0, n0) = all_4_3
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (316), (506) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (509) sum(n14, n2) = all_4_0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (233), (508), (509) are
% 50.28/7.66 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #117.
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | Case 2:
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | (510) all_4_10 = n0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (304), (510) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (511) pred(n0) = all_4_6
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (286), (510) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (512) succ(n0) = all_4_8
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (269), (512) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (513) all_4_8 = n1
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (287), (511) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (514) all_4_6 = n15
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (266), (513), (514) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (515) sum(n15, n1) = all_4_1
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (312), (514) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (516) sum(n15, n0) = all_4_4
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (314), (513) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (517) sum(n14, n1) = all_4_7
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n1, n14,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (232), (517) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (518) all_4_7 = n15
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n0, n15,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (247), (516) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (519) all_4_4 = n15
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 50.28/7.66 | | | | | | | | | | | | | | | | | simplifying with (248), (515) gives:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (520) all_4_1 = n0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (265), (518), (519) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (521) sum(n15, n15) = all_4_3
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REDUCE: (316), (520) imply:
% 50.28/7.66 | | | | | | | | | | | | | | | | | (522) sum(n14, n0) = all_4_0
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (262), (521), (522) are
% 50.28/7.66 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 50.28/7.66 | | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | | |
% 50.28/7.66 | | | | | | | | | End of split
% 50.28/7.66 | | | | | | | | |
% 50.28/7.66 | | | | | | | | End of split
% 50.28/7.66 | | | | | | | |
% 50.28/7.66 | | | | | | | End of split
% 50.28/7.66 | | | | | | |
% 50.28/7.66 | | | | | | End of split
% 50.28/7.66 | | | | | |
% 50.28/7.66 | | | | | End of split
% 50.28/7.66 | | | | |
% 50.28/7.66 | | | | End of split
% 50.28/7.66 | | | |
% 50.28/7.66 | | | End of split
% 50.28/7.66 | | |
% 50.28/7.66 | | End of split
% 50.28/7.66 | |
% 50.28/7.66 | Case 2:
% 50.28/7.66 | |
% 50.28/7.66 | | (523) all_4_11 = n14 | all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 |
% 50.28/7.66 | | all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 50.28/7.66 | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.28/7.66 | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.28/7.66 | |
% 50.28/7.66 | | BETA: splitting (306) gives:
% 50.28/7.66 | |
% 50.28/7.66 | | Case 1:
% 50.28/7.66 | | |
% 50.28/7.66 | | | (524) all_4_10 = n15
% 50.28/7.66 | | |
% 50.28/7.66 | | | REDUCE: (304), (524) imply:
% 50.28/7.66 | | | (525) pred(n15) = all_4_6
% 50.28/7.66 | | |
% 50.28/7.66 | | | REDUCE: (286), (524) imply:
% 50.28/7.66 | | | (526) succ(n15) = all_4_8
% 50.28/7.66 | | |
% 50.28/7.66 | | | GROUND_INST: instantiating (2) with n0, all_4_8, n15, simplifying with
% 50.28/7.66 | | | (284), (526) gives:
% 50.28/7.66 | | | (527) all_4_8 = n0
% 50.28/7.66 | | |
% 50.28/7.66 | | | GROUND_INST: instantiating (3) with n14, all_4_6, n15, simplifying with
% 50.28/7.66 | | | (302), (525) gives:
% 50.28/7.66 | | | (528) all_4_6 = n14
% 50.28/7.66 | | |
% 50.28/7.66 | | | REDUCE: (267), (528) imply:
% 50.28/7.66 | | | (529) sum(n14, all_4_5) = all_4_4
% 50.28/7.66 | | |
% 50.28/7.66 | | | REDUCE: (266), (527), (528) imply:
% 50.28/7.66 | | | (530) sum(n14, n0) = all_4_1
% 50.28/7.66 | | |
% 50.28/7.66 | | | REDUCE: (263), (527) imply:
% 50.28/7.66 | | | (531) sum(all_4_9, n0) = all_4_7
% 50.28/7.66 | | |
% 50.28/7.66 | | | GROUND_INST: instantiating (4) with n14, all_4_1, n0, n14, simplifying
% 50.28/7.66 | | | with (231), (530) gives:
% 50.28/7.66 | | | (532) all_4_1 = n14
% 50.28/7.66 | | |
% 50.28/7.66 | | | REDUCE: (268), (532) imply:
% 50.28/7.66 | | | (533) sum(all_4_2, n14) = all_4_0
% 50.28/7.66 | | |
% 50.28/7.66 | | | BETA: splitting (523) gives:
% 50.28/7.66 | | |
% 50.28/7.66 | | | Case 1:
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | (534) all_4_11 = n14
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | REDUCE: (303), (534) imply:
% 50.28/7.66 | | | | (535) pred(n14) = all_4_9
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | REDUCE: (285), (534) imply:
% 50.28/7.66 | | | | (536) succ(n14) = all_4_5
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, simplifying with
% 50.28/7.66 | | | | (283), (536) gives:
% 50.28/7.66 | | | | (537) all_4_5 = n15
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, simplifying with
% 50.28/7.66 | | | | (301), (535) gives:
% 50.28/7.66 | | | | (538) all_4_9 = n13
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | REDUCE: (264), (537), (538) imply:
% 50.28/7.66 | | | | (539) sum(n13, n15) = all_4_2
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | REDUCE: (531), (538) imply:
% 50.28/7.66 | | | | (540) sum(n13, n0) = all_4_7
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | REDUCE: (529), (537) imply:
% 50.28/7.66 | | | | (541) sum(n14, n15) = all_4_4
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n0, n13, simplifying
% 50.28/7.66 | | | | with (215), (540) gives:
% 50.28/7.66 | | | | (542) all_4_7 = n13
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n15, n13, simplifying
% 50.28/7.66 | | | | with (230), (539) gives:
% 50.28/7.66 | | | | (543) all_4_2 = n12
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n15, n14, simplifying
% 50.28/7.66 | | | | with (246), (541) gives:
% 50.28/7.66 | | | | (544) all_4_4 = n13
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | REF_CLOSE: (4), (6), (213), (228), (265), (533), (542), (543), (544) are
% 50.28/7.66 | | | | inconsistent by sub-proof #115.
% 50.28/7.66 | | | |
% 50.28/7.66 | | | Case 2:
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | (545) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | all_4_11 =
% 50.28/7.66 | | | | n10 | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11
% 50.28/7.66 | | | | = n6 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11
% 50.28/7.66 | | | | = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | BETA: splitting (545) gives:
% 50.28/7.66 | | | |
% 50.28/7.66 | | | | Case 1:
% 50.28/7.66 | | | | |
% 50.28/7.66 | | | | | (546) all_4_11 = n13
% 50.28/7.66 | | | | |
% 50.28/7.66 | | | | | REDUCE: (303), (546) imply:
% 50.28/7.66 | | | | | (547) pred(n13) = all_4_9
% 50.28/7.66 | | | | |
% 50.28/7.66 | | | | | REDUCE: (285), (546) imply:
% 50.28/7.67 | | | | | (548) succ(n13) = all_4_5
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, simplifying
% 50.28/7.67 | | | | | with (282), (548) gives:
% 50.28/7.67 | | | | | (549) all_4_5 = n14
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, simplifying
% 50.28/7.67 | | | | | with (300), (547) gives:
% 50.28/7.67 | | | | | (550) all_4_9 = n12
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | REDUCE: (264), (549), (550) imply:
% 50.28/7.67 | | | | | (551) sum(n12, n14) = all_4_2
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | REDUCE: (531), (550) imply:
% 50.28/7.67 | | | | | (552) sum(n12, n0) = all_4_7
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | REDUCE: (529), (549) imply:
% 50.28/7.67 | | | | | (553) sum(n14, n14) = all_4_4
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n0, n12, simplifying
% 50.28/7.67 | | | | | with (199), (552) gives:
% 50.28/7.67 | | | | | (554) all_4_7 = n12
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n14, n12,
% 50.28/7.67 | | | | | simplifying with (213), (551) gives:
% 50.28/7.67 | | | | | (555) all_4_2 = n10
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n14, n14,
% 50.28/7.67 | | | | | simplifying with (245), (553) gives:
% 50.28/7.67 | | | | | (556) all_4_4 = n12
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | REF_CLOSE: (4), (6), (181), (211), (265), (533), (554), (555), (556)
% 50.28/7.67 | | | | | are inconsistent by sub-proof #114.
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | Case 2:
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | (557) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | all_4_11 =
% 50.28/7.67 | | | | | n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | all_4_11
% 50.28/7.67 | | | | | = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.28/7.67 | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | BETA: splitting (557) gives:
% 50.28/7.67 | | | | |
% 50.28/7.67 | | | | | Case 1:
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | (558) all_4_11 = n12
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | REDUCE: (303), (558) imply:
% 50.28/7.67 | | | | | | (559) pred(n12) = all_4_9
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | REDUCE: (285), (558) imply:
% 50.28/7.67 | | | | | | (560) succ(n12) = all_4_5
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, simplifying
% 50.28/7.67 | | | | | | with (281), (560) gives:
% 50.28/7.67 | | | | | | (561) all_4_5 = n13
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, simplifying
% 50.28/7.67 | | | | | | with (299), (559) gives:
% 50.28/7.67 | | | | | | (562) all_4_9 = n11
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | REDUCE: (264), (561), (562) imply:
% 50.28/7.67 | | | | | | (563) sum(n11, n13) = all_4_2
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | REDUCE: (531), (562) imply:
% 50.28/7.67 | | | | | | (564) sum(n11, n0) = all_4_7
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | REDUCE: (529), (561) imply:
% 50.28/7.67 | | | | | | (565) sum(n14, n13) = all_4_4
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n0, n11,
% 50.28/7.67 | | | | | | simplifying with (183), (564) gives:
% 50.28/7.67 | | | | | | (566) all_4_7 = n11
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n13, n11,
% 50.28/7.67 | | | | | | simplifying with (196), (563) gives:
% 50.28/7.67 | | | | | | (567) all_4_2 = n8
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n13, n14,
% 50.28/7.67 | | | | | | simplifying with (244), (565) gives:
% 50.28/7.67 | | | | | | (568) all_4_4 = n11
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | REF_CLOSE: (4), (6), (149), (194), (265), (533), (566), (567), (568)
% 50.28/7.67 | | | | | | are inconsistent by sub-proof #113.
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | Case 2:
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | (569) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 | all_4_11
% 50.28/7.67 | | | | | | = n8 | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 50.28/7.67 | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 | all_4_11 =
% 50.28/7.67 | | | | | | n1 | all_4_11 = n0
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | BETA: splitting (569) gives:
% 50.28/7.67 | | | | | |
% 50.28/7.67 | | | | | | Case 1:
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | (570) all_4_11 = n11
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | REDUCE: (303), (570) imply:
% 50.28/7.67 | | | | | | | (571) pred(n11) = all_4_9
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | REDUCE: (285), (570) imply:
% 50.28/7.67 | | | | | | | (572) succ(n11) = all_4_5
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11, simplifying
% 50.28/7.67 | | | | | | | with (280), (572) gives:
% 50.28/7.67 | | | | | | | (573) all_4_5 = n12
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11, simplifying
% 50.28/7.67 | | | | | | | with (298), (571) gives:
% 50.28/7.67 | | | | | | | (574) all_4_9 = n10
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | REDUCE: (264), (573), (574) imply:
% 50.28/7.67 | | | | | | | (575) sum(n10, n12) = all_4_2
% 50.28/7.67 | | | | | | |
% 50.28/7.67 | | | | | | | REDUCE: (531), (574) imply:
% 50.63/7.67 | | | | | | | (576) sum(n10, n0) = all_4_7
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | REDUCE: (529), (573) imply:
% 50.63/7.67 | | | | | | | (577) sum(n14, n12) = all_4_4
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n0, n10,
% 50.63/7.67 | | | | | | | simplifying with (167), (576) gives:
% 50.63/7.67 | | | | | | | (578) all_4_7 = n10
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n12, n10,
% 50.63/7.67 | | | | | | | simplifying with (179), (575) gives:
% 50.63/7.67 | | | | | | | (579) all_4_2 = n6
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n12, n14,
% 50.63/7.67 | | | | | | | simplifying with (243), (577) gives:
% 50.63/7.67 | | | | | | | (580) all_4_4 = n10
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | REF_CLOSE: (4), (6), (117), (177), (265), (533), (578), (579),
% 50.63/7.67 | | | | | | | (580) are inconsistent by sub-proof #112.
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | Case 2:
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | (581) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 | all_4_11
% 50.63/7.67 | | | | | | | = n7 | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 50.63/7.67 | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 | all_4_11
% 50.63/7.67 | | | | | | | = n0
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | BETA: splitting (581) gives:
% 50.63/7.67 | | | | | | |
% 50.63/7.67 | | | | | | | Case 1:
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | (582) all_4_11 = n10
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | REDUCE: (303), (582) imply:
% 50.63/7.67 | | | | | | | | (583) pred(n10) = all_4_9
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | REDUCE: (285), (582) imply:
% 50.63/7.67 | | | | | | | | (584) succ(n10) = all_4_5
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10,
% 50.63/7.67 | | | | | | | | simplifying with (279), (584) gives:
% 50.63/7.67 | | | | | | | | (585) all_4_5 = n11
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10,
% 50.63/7.67 | | | | | | | | simplifying with (297), (583) gives:
% 50.63/7.67 | | | | | | | | (586) all_4_9 = n9
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | REDUCE: (264), (585), (586) imply:
% 50.63/7.67 | | | | | | | | (587) sum(n9, n11) = all_4_2
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | REDUCE: (531), (586) imply:
% 50.63/7.67 | | | | | | | | (588) sum(n9, n0) = all_4_7
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | REDUCE: (529), (585) imply:
% 50.63/7.67 | | | | | | | | (589) sum(n14, n11) = all_4_4
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n0, n9,
% 50.63/7.67 | | | | | | | | simplifying with (151), (588) gives:
% 50.63/7.67 | | | | | | | | (590) all_4_7 = n9
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n11, n9,
% 50.63/7.67 | | | | | | | | simplifying with (162), (587) gives:
% 50.63/7.67 | | | | | | | | (591) all_4_2 = n4
% 50.63/7.67 | | | | | | | |
% 50.63/7.67 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n11, n14,
% 50.63/7.67 | | | | | | | | simplifying with (242), (589) gives:
% 50.63/7.67 | | | | | | | | (592) all_4_4 = n9
% 50.63/7.67 | | | | | | | |
% 50.63/7.68 | | | | | | | | REF_CLOSE: (4), (6), (85), (160), (265), (533), (590), (591),
% 50.63/7.68 | | | | | | | | (592) are inconsistent by sub-proof #111.
% 50.63/7.68 | | | | | | | |
% 50.63/7.68 | | | | | | | Case 2:
% 50.63/7.68 | | | | | | | |
% 50.63/7.68 | | | | | | | | (593) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 50.63/7.68 | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 50.63/7.68 | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 50.63/7.68 | | | | | | | | all_4_11 = n0
% 50.63/7.68 | | | | | | | |
% 50.63/7.68 | | | | | | | | BETA: splitting (593) gives:
% 50.63/7.68 | | | | | | | |
% 50.63/7.68 | | | | | | | | Case 1:
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | (594) all_4_11 = n9
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | REDUCE: (303), (594) imply:
% 50.63/7.68 | | | | | | | | | (595) pred(n9) = all_4_9
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | REDUCE: (285), (594) imply:
% 50.63/7.68 | | | | | | | | | (596) succ(n9) = all_4_5
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 50.63/7.68 | | | | | | | | | simplifying with (278), (596) gives:
% 50.63/7.68 | | | | | | | | | (597) all_4_5 = n10
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 50.63/7.68 | | | | | | | | | simplifying with (296), (595) gives:
% 50.63/7.68 | | | | | | | | | (598) all_4_9 = n8
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | REDUCE: (264), (597), (598) imply:
% 50.63/7.68 | | | | | | | | | (599) sum(n8, n10) = all_4_2
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | REDUCE: (531), (598) imply:
% 50.63/7.68 | | | | | | | | | (600) sum(n8, n0) = all_4_7
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | REDUCE: (529), (597) imply:
% 50.63/7.68 | | | | | | | | | (601) sum(n14, n10) = all_4_4
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n0, n8,
% 50.63/7.68 | | | | | | | | | simplifying with (135), (600) gives:
% 50.63/7.68 | | | | | | | | | (602) all_4_7 = n8
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 50.63/7.68 | | | | | | | | | simplifying with (145), (599) gives:
% 50.63/7.68 | | | | | | | | | (603) all_4_2 = n2
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n10, n14,
% 50.63/7.68 | | | | | | | | | simplifying with (241), (601) gives:
% 50.63/7.68 | | | | | | | | | (604) all_4_4 = n8
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | REF_CLOSE: (4), (6), (53), (143), (265), (533), (602), (603),
% 50.63/7.68 | | | | | | | | | (604) are inconsistent by sub-proof #110.
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | Case 2:
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | (605) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 50.63/7.68 | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.63/7.68 | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | BETA: splitting (605) gives:
% 50.63/7.68 | | | | | | | | |
% 50.63/7.68 | | | | | | | | | Case 1:
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | (606) all_4_11 = n8
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | REDUCE: (303), (606) imply:
% 50.63/7.68 | | | | | | | | | | (607) pred(n8) = all_4_9
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | REDUCE: (285), (606) imply:
% 50.63/7.68 | | | | | | | | | | (608) succ(n8) = all_4_5
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 50.63/7.68 | | | | | | | | | | simplifying with (277), (608) gives:
% 50.63/7.68 | | | | | | | | | | (609) all_4_5 = n9
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 50.63/7.68 | | | | | | | | | | simplifying with (295), (607) gives:
% 50.63/7.68 | | | | | | | | | | (610) all_4_9 = n7
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | REDUCE: (264), (609), (610) imply:
% 50.63/7.68 | | | | | | | | | | (611) sum(n7, n9) = all_4_2
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | REDUCE: (531), (610) imply:
% 50.63/7.68 | | | | | | | | | | (612) sum(n7, n0) = all_4_7
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | REDUCE: (529), (609) imply:
% 50.63/7.68 | | | | | | | | | | (613) sum(n14, n9) = all_4_4
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n0, n7,
% 50.63/7.68 | | | | | | | | | | simplifying with (119), (612) gives:
% 50.63/7.68 | | | | | | | | | | (614) all_4_7 = n7
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 50.63/7.68 | | | | | | | | | | simplifying with (128), (611) gives:
% 50.63/7.68 | | | | | | | | | | (615) all_4_2 = n0
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n9, n14,
% 50.63/7.68 | | | | | | | | | | simplifying with (240), (613) gives:
% 50.63/7.68 | | | | | | | | | | (616) all_4_4 = n7
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | REF_CLOSE: (4), (6), (21), (126), (265), (533), (614), (615),
% 50.63/7.68 | | | | | | | | | | (616) are inconsistent by sub-proof #109.
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | Case 2:
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | (617) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 50.63/7.68 | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.63/7.68 | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | BETA: splitting (617) gives:
% 50.63/7.68 | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | Case 1:
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | (618) all_4_11 = n7
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (303), (618) imply:
% 50.63/7.68 | | | | | | | | | | | (619) pred(n7) = all_4_9
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (285), (618) imply:
% 50.63/7.68 | | | | | | | | | | | (620) succ(n7) = all_4_5
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 50.63/7.68 | | | | | | | | | | | simplifying with (276), (620) gives:
% 50.63/7.68 | | | | | | | | | | | (621) all_4_5 = n8
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 50.63/7.68 | | | | | | | | | | | simplifying with (294), (619) gives:
% 50.63/7.68 | | | | | | | | | | | (622) all_4_9 = n6
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (264), (621), (622) imply:
% 50.63/7.68 | | | | | | | | | | | (623) sum(n6, n8) = all_4_2
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (531), (622) imply:
% 50.63/7.68 | | | | | | | | | | | (624) sum(n6, n0) = all_4_7
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (529), (621) imply:
% 50.63/7.68 | | | | | | | | | | | (625) sum(n14, n8) = all_4_4
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n0, n6,
% 50.63/7.68 | | | | | | | | | | | simplifying with (103), (624) gives:
% 50.63/7.68 | | | | | | | | | | | (626) all_4_7 = n6
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 50.63/7.68 | | | | | | | | | | | simplifying with (111), (623) gives:
% 50.63/7.68 | | | | | | | | | | | (627) all_4_2 = n14
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n8, n14,
% 50.63/7.68 | | | | | | | | | | | simplifying with (239), (625) gives:
% 50.63/7.68 | | | | | | | | | | | (628) all_4_4 = n6
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (533), (627) imply:
% 50.63/7.68 | | | | | | | | | | | (629) sum(n14, n14) = all_4_0
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REDUCE: (265), (626), (628) imply:
% 50.63/7.68 | | | | | | | | | | | (630) sum(n6, n6) = all_4_3
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (245), (629), (630) are
% 50.63/7.68 | | | | | | | | | | | inconsistent by sub-proof #123.
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | Case 2:
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | (631) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 50.63/7.68 | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 50.63/7.68 | | | | | | | | | | | all_4_11 = n0
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | BETA: splitting (631) gives:
% 50.63/7.68 | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | Case 1:
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | (632) all_4_11 = n6
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (303), (632) imply:
% 50.63/7.68 | | | | | | | | | | | | (633) pred(n6) = all_4_9
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (285), (632) imply:
% 50.63/7.68 | | | | | | | | | | | | (634) succ(n6) = all_4_5
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 50.63/7.68 | | | | | | | | | | | | simplifying with (275), (634) gives:
% 50.63/7.68 | | | | | | | | | | | | (635) all_4_5 = n7
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 50.63/7.68 | | | | | | | | | | | | simplifying with (293), (633) gives:
% 50.63/7.68 | | | | | | | | | | | | (636) all_4_9 = n5
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (264), (635), (636) imply:
% 50.63/7.68 | | | | | | | | | | | | (637) sum(n5, n7) = all_4_2
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (531), (636) imply:
% 50.63/7.68 | | | | | | | | | | | | (638) sum(n5, n0) = all_4_7
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (529), (635) imply:
% 50.63/7.68 | | | | | | | | | | | | (639) sum(n14, n7) = all_4_4
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n0, n5,
% 50.63/7.68 | | | | | | | | | | | | simplifying with (87), (638) gives:
% 50.63/7.68 | | | | | | | | | | | | (640) all_4_7 = n5
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 50.63/7.68 | | | | | | | | | | | | simplifying with (94), (637) gives:
% 50.63/7.68 | | | | | | | | | | | | (641) all_4_2 = n12
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n7, n14,
% 50.63/7.68 | | | | | | | | | | | | simplifying with (238), (639) gives:
% 50.63/7.68 | | | | | | | | | | | | (642) all_4_4 = n5
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (533), (641) imply:
% 50.63/7.68 | | | | | | | | | | | | (643) sum(n12, n14) = all_4_0
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REDUCE: (265), (640), (642) imply:
% 50.63/7.68 | | | | | | | | | | | | (644) sum(n5, n5) = all_4_3
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (213), (643), (644) are
% 50.63/7.68 | | | | | | | | | | | | inconsistent by sub-proof #108.
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | Case 2:
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | (645) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.63/7.68 | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | BETA: splitting (645) gives:
% 50.63/7.68 | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | Case 1:
% 50.63/7.68 | | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | | (646) all_4_11 = n5
% 50.63/7.68 | | | | | | | | | | | | |
% 50.63/7.68 | | | | | | | | | | | | | REDUCE: (303), (646) imply:
% 50.63/7.69 | | | | | | | | | | | | | (647) pred(n5) = all_4_9
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REDUCE: (285), (646) imply:
% 50.63/7.69 | | | | | | | | | | | | | (648) succ(n5) = all_4_5
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 50.63/7.69 | | | | | | | | | | | | | simplifying with (274), (648) gives:
% 50.63/7.69 | | | | | | | | | | | | | (649) all_4_5 = n6
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 50.63/7.69 | | | | | | | | | | | | | simplifying with (292), (647) gives:
% 50.63/7.69 | | | | | | | | | | | | | (650) all_4_9 = n4
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REDUCE: (264), (649), (650) imply:
% 50.63/7.69 | | | | | | | | | | | | | (651) sum(n4, n6) = all_4_2
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REDUCE: (531), (650) imply:
% 50.63/7.69 | | | | | | | | | | | | | (652) sum(n4, n0) = all_4_7
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REDUCE: (529), (649) imply:
% 50.63/7.69 | | | | | | | | | | | | | (653) sum(n14, n6) = all_4_4
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n0, n4,
% 50.63/7.69 | | | | | | | | | | | | | simplifying with (71), (652) gives:
% 50.63/7.69 | | | | | | | | | | | | | (654) all_4_7 = n4
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 50.63/7.69 | | | | | | | | | | | | | simplifying with (77), (651) gives:
% 50.63/7.69 | | | | | | | | | | | | | (655) all_4_2 = n10
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n6, n14,
% 50.63/7.69 | | | | | | | | | | | | | simplifying with (237), (653) gives:
% 50.63/7.69 | | | | | | | | | | | | | (656) all_4_4 = n4
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REDUCE: (533), (655) imply:
% 50.63/7.69 | | | | | | | | | | | | | (657) sum(n10, n14) = all_4_0
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REDUCE: (265), (654), (656) imply:
% 50.63/7.69 | | | | | | | | | | | | | (658) sum(n4, n4) = all_4_3
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (181), (657), (658) are
% 50.63/7.69 | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | Case 2:
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | (659) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.63/7.69 | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | BETA: splitting (659) gives:
% 50.63/7.69 | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | Case 1:
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | (660) all_4_11 = n4
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (303), (660) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (661) pred(n4) = all_4_9
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (285), (660) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (662) succ(n4) = all_4_5
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 50.63/7.69 | | | | | | | | | | | | | | simplifying with (273), (662) gives:
% 50.63/7.69 | | | | | | | | | | | | | | (663) all_4_5 = n5
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 50.63/7.69 | | | | | | | | | | | | | | simplifying with (291), (661) gives:
% 50.63/7.69 | | | | | | | | | | | | | | (664) all_4_9 = n3
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (264), (663), (664) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (665) sum(n3, n5) = all_4_2
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (531), (664) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (666) sum(n3, n0) = all_4_7
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (529), (663) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (667) sum(n14, n5) = all_4_4
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n0, n3,
% 50.63/7.69 | | | | | | | | | | | | | | simplifying with (55), (666) gives:
% 50.63/7.69 | | | | | | | | | | | | | | (668) all_4_7 = n3
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 50.63/7.69 | | | | | | | | | | | | | | simplifying with (60), (665) gives:
% 50.63/7.69 | | | | | | | | | | | | | | (669) all_4_2 = n8
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n5, n14,
% 50.63/7.69 | | | | | | | | | | | | | | simplifying with (236), (667) gives:
% 50.63/7.69 | | | | | | | | | | | | | | (670) all_4_4 = n3
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (533), (669) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (671) sum(n8, n14) = all_4_0
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REDUCE: (265), (668), (670) imply:
% 50.63/7.69 | | | | | | | | | | | | | | (672) sum(n3, n3) = all_4_3
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (149), (671), (672) are
% 50.63/7.69 | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | Case 2:
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | (673) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 50.63/7.69 | | | | | | | | | | | | | | all_4_11 = n0
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 50.63/7.69 | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | Case 1:
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | (674) all_4_11 = n3
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (303), (674) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (675) pred(n3) = all_4_9
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (285), (674) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (676) succ(n3) = all_4_5
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 50.63/7.69 | | | | | | | | | | | | | | | simplifying with (272), (676) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | (677) all_4_5 = n4
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 50.63/7.69 | | | | | | | | | | | | | | | simplifying with (290), (675) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | (678) all_4_9 = n2
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (264), (677), (678) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (679) sum(n2, n4) = all_4_2
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (531), (678) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (680) sum(n2, n0) = all_4_7
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (529), (677) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (681) sum(n14, n4) = all_4_4
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n0, n2,
% 50.63/7.69 | | | | | | | | | | | | | | | simplifying with (39), (680) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | (682) all_4_7 = n2
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 50.63/7.69 | | | | | | | | | | | | | | | simplifying with (43), (679) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | (683) all_4_2 = n6
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n4, n14,
% 50.63/7.69 | | | | | | | | | | | | | | | simplifying with (235), (681) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | (684) all_4_4 = n2
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (533), (683) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (685) sum(n6, n14) = all_4_0
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REDUCE: (265), (682), (684) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | (686) sum(n2, n2) = all_4_3
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (117), (685), (686) are
% 50.63/7.69 | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | Case 2:
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | (687) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | BETA: splitting (687) gives:
% 50.63/7.69 | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | Case 1:
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | (688) all_4_11 = n2
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (303), (688) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (689) pred(n2) = all_4_9
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (285), (688) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (690) succ(n2) = all_4_5
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 50.63/7.69 | | | | | | | | | | | | | | | | simplifying with (271), (690) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | | (691) all_4_5 = n3
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 50.63/7.69 | | | | | | | | | | | | | | | | simplifying with (289), (689) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | | (692) all_4_9 = n1
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (264), (691), (692) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (693) sum(n1, n3) = all_4_2
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (531), (692) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (694) sum(n1, n0) = all_4_7
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (529), (691) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (695) sum(n14, n3) = all_4_4
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n0, n1,
% 50.63/7.69 | | | | | | | | | | | | | | | | simplifying with (23), (694) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | | (696) all_4_7 = n1
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 50.63/7.69 | | | | | | | | | | | | | | | | simplifying with (26), (693) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | | (697) all_4_2 = n4
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n3, n14,
% 50.63/7.69 | | | | | | | | | | | | | | | | simplifying with (234), (695) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | | (698) all_4_4 = n1
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (533), (697) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (699) sum(n4, n14) = all_4_0
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REDUCE: (265), (696), (698) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | (700) sum(n1, n1) = all_4_3
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (85), (699), (700) are
% 50.63/7.69 | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | Case 2:
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | (701) all_4_11 = n1 | all_4_11 = n0
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | BETA: splitting (701) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | Case 1:
% 50.63/7.69 | | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | | (702) all_4_11 = n1
% 50.63/7.69 | | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | | REDUCE: (303), (702) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | | (703) pred(n1) = all_4_9
% 50.63/7.69 | | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | | REDUCE: (285), (702) imply:
% 50.63/7.69 | | | | | | | | | | | | | | | | | (704) succ(n1) = all_4_5
% 50.63/7.69 | | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 50.63/7.69 | | | | | | | | | | | | | | | | | simplifying with (270), (704) gives:
% 50.63/7.69 | | | | | | | | | | | | | | | | | (705) all_4_5 = n2
% 50.63/7.69 | | | | | | | | | | | | | | | | |
% 50.63/7.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 50.63/7.69 | | | | | | | | | | | | | | | | | simplifying with (288), (703) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (706) all_4_9 = n0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (264), (705), (706) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (707) sum(n0, n2) = all_4_2
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (531), (706) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (708) sum(n0, n0) = all_4_7
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (529), (705) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (709) sum(n14, n2) = all_4_4
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n0, n0,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (7), (708) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (710) all_4_7 = n0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (9), (707) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (711) all_4_2 = n2
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n2, n14,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (233), (709) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (712) all_4_4 = n0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (533), (711) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (713) sum(n2, n14) = all_4_0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (265), (710), (712) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (714) sum(n0, n0) = all_4_3
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (53), (713), (714) are inconsistent
% 50.63/7.70 | | | | | | | | | | | | | | | | | by sub-proof #103.
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | Case 2:
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | (715) all_4_11 = n0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (303), (715) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (716) pred(n0) = all_4_9
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (285), (715) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (717) succ(n0) = all_4_5
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (269), (717) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (718) all_4_5 = n1
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (287), (716) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (719) all_4_9 = n15
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (264), (718), (719) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (720) sum(n15, n1) = all_4_2
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (531), (719) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (721) sum(n15, n0) = all_4_7
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (529), (718) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (722) sum(n14, n1) = all_4_4
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n1, n14,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (232), (722) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (723) all_4_4 = n15
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n0, n15,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (247), (721) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (724) all_4_7 = n15
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 50.63/7.70 | | | | | | | | | | | | | | | | | simplifying with (248), (720) gives:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (725) all_4_2 = n0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (533), (725) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (726) sum(n0, n14) = all_4_0
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REDUCE: (265), (723), (724) imply:
% 50.63/7.70 | | | | | | | | | | | | | | | | | (727) sum(n15, n15) = all_4_3
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.63/7.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (262), (726), (727) are
% 50.63/7.70 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 50.63/7.70 | | | | | | | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | | |
% 50.74/7.70 | | | | | | | | | End of split
% 50.74/7.70 | | | | | | | | |
% 50.74/7.70 | | | | | | | | End of split
% 50.74/7.70 | | | | | | | |
% 50.74/7.70 | | | | | | | End of split
% 50.74/7.70 | | | | | | |
% 50.74/7.70 | | | | | | End of split
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | End of split
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | End of split
% 50.74/7.70 | | | |
% 50.74/7.70 | | | End of split
% 50.74/7.70 | | |
% 50.74/7.70 | | Case 2:
% 50.74/7.70 | | |
% 50.74/7.70 | | | (728) all_4_10 = n14 | all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11
% 50.74/7.70 | | | | all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7
% 50.74/7.70 | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.70 | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.70 | | |
% 50.74/7.70 | | | BETA: splitting (523) gives:
% 50.74/7.70 | | |
% 50.74/7.70 | | | Case 1:
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | (729) all_4_11 = n14
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | REDUCE: (303), (729) imply:
% 50.74/7.70 | | | | (730) pred(n14) = all_4_9
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | REDUCE: (285), (729) imply:
% 50.74/7.70 | | | | (731) succ(n14) = all_4_5
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | GROUND_INST: instantiating (2) with n15, all_4_5, n14, simplifying with
% 50.74/7.70 | | | | (283), (731) gives:
% 50.74/7.70 | | | | (732) all_4_5 = n15
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | GROUND_INST: instantiating (3) with n13, all_4_9, n14, simplifying with
% 50.74/7.70 | | | | (301), (730) gives:
% 50.74/7.70 | | | | (733) all_4_9 = n13
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | REDUCE: (267), (732) imply:
% 50.74/7.70 | | | | (734) sum(all_4_6, n15) = all_4_4
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | REDUCE: (264), (732), (733) imply:
% 50.74/7.70 | | | | (735) sum(n13, n15) = all_4_2
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | REDUCE: (263), (733) imply:
% 50.74/7.70 | | | | (736) sum(n13, all_4_8) = all_4_7
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n15, n13, simplifying
% 50.74/7.70 | | | | with (230), (735) gives:
% 50.74/7.70 | | | | (737) all_4_2 = n12
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | REDUCE: (268), (737) imply:
% 50.74/7.70 | | | | (738) sum(n12, all_4_1) = all_4_0
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | BETA: splitting (728) gives:
% 50.74/7.70 | | | |
% 50.74/7.70 | | | | Case 1:
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | (739) all_4_10 = n14
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | REDUCE: (304), (739) imply:
% 50.74/7.70 | | | | | (740) pred(n14) = all_4_6
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | REDUCE: (286), (739) imply:
% 50.74/7.70 | | | | | (741) succ(n14) = all_4_8
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, simplifying
% 50.74/7.70 | | | | | with (283), (741) gives:
% 50.74/7.70 | | | | | (742) all_4_8 = n15
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, simplifying
% 50.74/7.70 | | | | | with (301), (740) gives:
% 50.74/7.70 | | | | | (743) all_4_6 = n13
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | REDUCE: (266), (742), (743) imply:
% 50.74/7.70 | | | | | (744) sum(n13, n15) = all_4_1
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | REDUCE: (734), (743) imply:
% 50.74/7.70 | | | | | (745) sum(n13, n15) = all_4_4
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | REDUCE: (736), (742) imply:
% 50.74/7.70 | | | | | (746) sum(n13, n15) = all_4_7
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n15, n13,
% 50.74/7.70 | | | | | simplifying with (230), (745) gives:
% 50.74/7.70 | | | | | (747) all_4_4 = n12
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n15, n13,
% 50.74/7.70 | | | | | simplifying with (744), (745) gives:
% 50.74/7.70 | | | | | (748) all_4_1 = all_4_4
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n15, n13,
% 50.74/7.70 | | | | | simplifying with (744), (746) gives:
% 50.74/7.70 | | | | | (749) all_4_1 = all_4_7
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | REF_CLOSE: (4), (6), (211), (265), (738), (747), (748), (749) are
% 50.74/7.70 | | | | | inconsistent by sub-proof #100.
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | Case 2:
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | (750) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10 =
% 50.74/7.70 | | | | | n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 50.74/7.70 | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3
% 50.74/7.70 | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | BETA: splitting (750) gives:
% 50.74/7.70 | | | | |
% 50.74/7.70 | | | | | Case 1:
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | (751) all_4_10 = n13
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | REDUCE: (304), (751) imply:
% 50.74/7.70 | | | | | | (752) pred(n13) = all_4_6
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | REDUCE: (286), (751) imply:
% 50.74/7.70 | | | | | | (753) succ(n13) = all_4_8
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, simplifying
% 50.74/7.70 | | | | | | with (282), (753) gives:
% 50.74/7.70 | | | | | | (754) all_4_8 = n14
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, simplifying
% 50.74/7.70 | | | | | | with (300), (752) gives:
% 50.74/7.70 | | | | | | (755) all_4_6 = n12
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | REDUCE: (266), (754), (755) imply:
% 50.74/7.70 | | | | | | (756) sum(n12, n14) = all_4_1
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | REDUCE: (734), (755) imply:
% 50.74/7.70 | | | | | | (757) sum(n12, n15) = all_4_4
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | REDUCE: (736), (754) imply:
% 50.74/7.70 | | | | | | (758) sum(n13, n14) = all_4_7
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n14, n12,
% 50.74/7.70 | | | | | | simplifying with (213), (756) gives:
% 50.74/7.70 | | | | | | (759) all_4_1 = n10
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n15, n12,
% 50.74/7.70 | | | | | | simplifying with (214), (757) gives:
% 50.74/7.70 | | | | | | (760) all_4_4 = n11
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n14, n13,
% 50.74/7.70 | | | | | | simplifying with (229), (758) gives:
% 50.74/7.70 | | | | | | (761) all_4_7 = n11
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | | REF_CLOSE: (4), (6), (194), (209), (265), (738), (759), (760), (761)
% 50.74/7.70 | | | | | | are inconsistent by sub-proof #99.
% 50.74/7.70 | | | | | |
% 50.74/7.70 | | | | | Case 2:
% 50.74/7.70 | | | | | |
% 50.74/7.71 | | | | | | (762) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 | all_4_10
% 50.74/7.71 | | | | | | = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 50.74/7.71 | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 =
% 50.74/7.71 | | | | | | n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.71 | | | | | |
% 50.74/7.71 | | | | | | BETA: splitting (762) gives:
% 50.74/7.71 | | | | | |
% 50.74/7.71 | | | | | | Case 1:
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | (763) all_4_10 = n12
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | REDUCE: (304), (763) imply:
% 50.74/7.71 | | | | | | | (764) pred(n12) = all_4_6
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | REDUCE: (286), (763) imply:
% 50.74/7.71 | | | | | | | (765) succ(n12) = all_4_8
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12, simplifying
% 50.74/7.71 | | | | | | | with (281), (765) gives:
% 50.74/7.71 | | | | | | | (766) all_4_8 = n13
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12, simplifying
% 50.74/7.71 | | | | | | | with (299), (764) gives:
% 50.74/7.71 | | | | | | | (767) all_4_6 = n11
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | REDUCE: (266), (766), (767) imply:
% 50.74/7.71 | | | | | | | (768) sum(n11, n13) = all_4_1
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | REDUCE: (734), (767) imply:
% 50.74/7.71 | | | | | | | (769) sum(n11, n15) = all_4_4
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | REDUCE: (736), (766) imply:
% 50.74/7.71 | | | | | | | (770) sum(n13, n13) = all_4_7
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n13, n11,
% 50.74/7.71 | | | | | | | simplifying with (196), (768) gives:
% 50.74/7.71 | | | | | | | (771) all_4_1 = n8
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n15, n11,
% 50.74/7.71 | | | | | | | simplifying with (198), (769) gives:
% 50.74/7.71 | | | | | | | (772) all_4_4 = n10
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n13, n13,
% 50.74/7.71 | | | | | | | simplifying with (228), (770) gives:
% 50.74/7.71 | | | | | | | (773) all_4_7 = n10
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | REF_CLOSE: (4), (6), (177), (207), (265), (738), (771), (772),
% 50.74/7.71 | | | | | | | (773) are inconsistent by sub-proof #98.
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | Case 2:
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | (774) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 |
% 50.74/7.71 | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 | all_4_10
% 50.74/7.71 | | | | | | | = n5 | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.71 | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | BETA: splitting (774) gives:
% 50.74/7.71 | | | | | | |
% 50.74/7.71 | | | | | | | Case 1:
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | (775) all_4_10 = n11
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | REDUCE: (304), (775) imply:
% 50.74/7.71 | | | | | | | | (776) pred(n11) = all_4_6
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | REDUCE: (286), (775) imply:
% 50.74/7.71 | | | | | | | | (777) succ(n11) = all_4_8
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11,
% 50.74/7.71 | | | | | | | | simplifying with (280), (777) gives:
% 50.74/7.71 | | | | | | | | (778) all_4_8 = n12
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11,
% 50.74/7.71 | | | | | | | | simplifying with (298), (776) gives:
% 50.74/7.71 | | | | | | | | (779) all_4_6 = n10
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | REDUCE: (266), (778), (779) imply:
% 50.74/7.71 | | | | | | | | (780) sum(n10, n12) = all_4_1
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | REDUCE: (734), (779) imply:
% 50.74/7.71 | | | | | | | | (781) sum(n10, n15) = all_4_4
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | REDUCE: (736), (778) imply:
% 50.74/7.71 | | | | | | | | (782) sum(n13, n12) = all_4_7
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n12, n10,
% 50.74/7.71 | | | | | | | | simplifying with (179), (780) gives:
% 50.74/7.71 | | | | | | | | (783) all_4_1 = n6
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n15, n10,
% 50.74/7.71 | | | | | | | | simplifying with (182), (781) gives:
% 50.74/7.71 | | | | | | | | (784) all_4_4 = n9
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n12, n13,
% 50.74/7.71 | | | | | | | | simplifying with (227), (782) gives:
% 50.74/7.71 | | | | | | | | (785) all_4_7 = n9
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | REF_CLOSE: (4), (6), (160), (205), (265), (738), (783), (784),
% 50.74/7.71 | | | | | | | | (785) are inconsistent by sub-proof #97.
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | Case 2:
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | (786) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 50.74/7.71 | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 50.74/7.71 | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.71 | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | BETA: splitting (786) gives:
% 50.74/7.71 | | | | | | | |
% 50.74/7.71 | | | | | | | | Case 1:
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | (787) all_4_10 = n10
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | REDUCE: (304), (787) imply:
% 50.74/7.71 | | | | | | | | | (788) pred(n10) = all_4_6
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | REDUCE: (286), (787) imply:
% 50.74/7.71 | | | | | | | | | (789) succ(n10) = all_4_8
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 50.74/7.71 | | | | | | | | | simplifying with (279), (789) gives:
% 50.74/7.71 | | | | | | | | | (790) all_4_8 = n11
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 50.74/7.71 | | | | | | | | | simplifying with (297), (788) gives:
% 50.74/7.71 | | | | | | | | | (791) all_4_6 = n9
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | REDUCE: (266), (790), (791) imply:
% 50.74/7.71 | | | | | | | | | (792) sum(n9, n11) = all_4_1
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | REDUCE: (734), (791) imply:
% 50.74/7.71 | | | | | | | | | (793) sum(n9, n15) = all_4_4
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | REDUCE: (736), (790) imply:
% 50.74/7.71 | | | | | | | | | (794) sum(n13, n11) = all_4_7
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n11, n9,
% 50.74/7.71 | | | | | | | | | simplifying with (162), (792) gives:
% 50.74/7.71 | | | | | | | | | (795) all_4_1 = n4
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n15, n9,
% 50.74/7.71 | | | | | | | | | simplifying with (166), (793) gives:
% 50.74/7.71 | | | | | | | | | (796) all_4_4 = n8
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n11, n13,
% 50.74/7.71 | | | | | | | | | simplifying with (226), (794) gives:
% 50.74/7.71 | | | | | | | | | (797) all_4_7 = n8
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | REF_CLOSE: (4), (6), (143), (203), (265), (738), (795), (796),
% 50.74/7.71 | | | | | | | | | (797) are inconsistent by sub-proof #96.
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | Case 2:
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | (798) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 50.74/7.71 | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.74/7.71 | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.74/7.71 | | | | | | | | | all_4_10 = n0
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | BETA: splitting (798) gives:
% 50.74/7.71 | | | | | | | | |
% 50.74/7.71 | | | | | | | | | Case 1:
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | (799) all_4_10 = n9
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | REDUCE: (304), (799) imply:
% 50.74/7.71 | | | | | | | | | | (800) pred(n9) = all_4_6
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | REDUCE: (286), (799) imply:
% 50.74/7.71 | | | | | | | | | | (801) succ(n9) = all_4_8
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 50.74/7.71 | | | | | | | | | | simplifying with (278), (801) gives:
% 50.74/7.71 | | | | | | | | | | (802) all_4_8 = n10
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 50.74/7.71 | | | | | | | | | | simplifying with (296), (800) gives:
% 50.74/7.71 | | | | | | | | | | (803) all_4_6 = n8
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | REDUCE: (266), (802), (803) imply:
% 50.74/7.71 | | | | | | | | | | (804) sum(n8, n10) = all_4_1
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | REDUCE: (734), (803) imply:
% 50.74/7.71 | | | | | | | | | | (805) sum(n8, n15) = all_4_4
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | REDUCE: (736), (802) imply:
% 50.74/7.71 | | | | | | | | | | (806) sum(n13, n10) = all_4_7
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 50.74/7.71 | | | | | | | | | | simplifying with (145), (804) gives:
% 50.74/7.71 | | | | | | | | | | (807) all_4_1 = n2
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n15, n8,
% 50.74/7.71 | | | | | | | | | | simplifying with (150), (805) gives:
% 50.74/7.71 | | | | | | | | | | (808) all_4_4 = n7
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n10, n13,
% 50.74/7.71 | | | | | | | | | | simplifying with (225), (806) gives:
% 50.74/7.71 | | | | | | | | | | (809) all_4_7 = n7
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.71 | | | | | | | | | | REF_CLOSE: (4), (6), (126), (201), (265), (738), (807),
% 50.74/7.71 | | | | | | | | | | (808), (809) are inconsistent by sub-proof #95.
% 50.74/7.71 | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | Case 2:
% 50.74/7.72 | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | (810) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 50.74/7.72 | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.72 | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.72 | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | BETA: splitting (810) gives:
% 50.74/7.72 | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | Case 1:
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | (811) all_4_10 = n8
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | REDUCE: (304), (811) imply:
% 50.74/7.72 | | | | | | | | | | | (812) pred(n8) = all_4_6
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | REDUCE: (286), (811) imply:
% 50.74/7.72 | | | | | | | | | | | (813) succ(n8) = all_4_8
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 50.74/7.72 | | | | | | | | | | | simplifying with (277), (813) gives:
% 50.74/7.72 | | | | | | | | | | | (814) all_4_8 = n9
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 50.74/7.72 | | | | | | | | | | | simplifying with (295), (812) gives:
% 50.74/7.72 | | | | | | | | | | | (815) all_4_6 = n7
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | REDUCE: (266), (814), (815) imply:
% 50.74/7.72 | | | | | | | | | | | (816) sum(n7, n9) = all_4_1
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | REDUCE: (734), (815) imply:
% 50.74/7.72 | | | | | | | | | | | (817) sum(n7, n15) = all_4_4
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | REDUCE: (736), (814) imply:
% 50.74/7.72 | | | | | | | | | | | (818) sum(n13, n9) = all_4_7
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 50.74/7.72 | | | | | | | | | | | simplifying with (128), (816) gives:
% 50.74/7.72 | | | | | | | | | | | (819) all_4_1 = n0
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n15, n7,
% 50.74/7.72 | | | | | | | | | | | simplifying with (134), (817) gives:
% 50.74/7.72 | | | | | | | | | | | (820) all_4_4 = n6
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n9, n13,
% 50.74/7.72 | | | | | | | | | | | simplifying with (224), (818) gives:
% 50.74/7.72 | | | | | | | | | | | (821) all_4_7 = n6
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (199), (265), (738), (819),
% 50.74/7.72 | | | | | | | | | | | (820), (821) are inconsistent by sub-proof #94.
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | Case 2:
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | (822) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 50.74/7.72 | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.72 | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | BETA: splitting (822) gives:
% 50.74/7.72 | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | Case 1:
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | (823) all_4_10 = n7
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (304), (823) imply:
% 50.74/7.72 | | | | | | | | | | | | (824) pred(n7) = all_4_6
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (286), (823) imply:
% 50.74/7.72 | | | | | | | | | | | | (825) succ(n7) = all_4_8
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 50.74/7.72 | | | | | | | | | | | | simplifying with (276), (825) gives:
% 50.74/7.72 | | | | | | | | | | | | (826) all_4_8 = n8
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 50.74/7.72 | | | | | | | | | | | | simplifying with (294), (824) gives:
% 50.74/7.72 | | | | | | | | | | | | (827) all_4_6 = n6
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (266), (826), (827) imply:
% 50.74/7.72 | | | | | | | | | | | | (828) sum(n6, n8) = all_4_1
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (734), (827) imply:
% 50.74/7.72 | | | | | | | | | | | | (829) sum(n6, n15) = all_4_4
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (736), (826) imply:
% 50.74/7.72 | | | | | | | | | | | | (830) sum(n13, n8) = all_4_7
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 50.74/7.72 | | | | | | | | | | | | simplifying with (111), (828) gives:
% 50.74/7.72 | | | | | | | | | | | | (831) all_4_1 = n14
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n15, n6,
% 50.74/7.72 | | | | | | | | | | | | simplifying with (118), (829) gives:
% 50.74/7.72 | | | | | | | | | | | | (832) all_4_4 = n5
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n8, n13,
% 50.74/7.72 | | | | | | | | | | | | simplifying with (223), (830) gives:
% 50.74/7.72 | | | | | | | | | | | | (833) all_4_7 = n5
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (265), (832), (833) imply:
% 50.74/7.72 | | | | | | | | | | | | (834) sum(n5, n5) = all_4_3
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REDUCE: (738), (831) imply:
% 50.74/7.72 | | | | | | | | | | | | (835) sum(n12, n14) = all_4_0
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (213), (834), (835) are
% 50.74/7.72 | | | | | | | | | | | | inconsistent by sub-proof #108.
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | Case 2:
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | (836) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.74/7.72 | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.74/7.72 | | | | | | | | | | | | all_4_10 = n0
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | BETA: splitting (836) gives:
% 50.74/7.72 | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | Case 1:
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | (837) all_4_10 = n6
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (304), (837) imply:
% 50.74/7.72 | | | | | | | | | | | | | (838) pred(n6) = all_4_6
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (286), (837) imply:
% 50.74/7.72 | | | | | | | | | | | | | (839) succ(n6) = all_4_8
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 50.74/7.72 | | | | | | | | | | | | | simplifying with (275), (839) gives:
% 50.74/7.72 | | | | | | | | | | | | | (840) all_4_8 = n7
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 50.74/7.72 | | | | | | | | | | | | | simplifying with (293), (838) gives:
% 50.74/7.72 | | | | | | | | | | | | | (841) all_4_6 = n5
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (266), (840), (841) imply:
% 50.74/7.72 | | | | | | | | | | | | | (842) sum(n5, n7) = all_4_1
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (734), (841) imply:
% 50.74/7.72 | | | | | | | | | | | | | (843) sum(n5, n15) = all_4_4
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (736), (840) imply:
% 50.74/7.72 | | | | | | | | | | | | | (844) sum(n13, n7) = all_4_7
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 50.74/7.72 | | | | | | | | | | | | | simplifying with (94), (842) gives:
% 50.74/7.72 | | | | | | | | | | | | | (845) all_4_1 = n12
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n15, n5,
% 50.74/7.72 | | | | | | | | | | | | | simplifying with (102), (843) gives:
% 50.74/7.72 | | | | | | | | | | | | | (846) all_4_4 = n4
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n7, n13,
% 50.74/7.72 | | | | | | | | | | | | | simplifying with (222), (844) gives:
% 50.74/7.72 | | | | | | | | | | | | | (847) all_4_7 = n4
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (265), (846), (847) imply:
% 50.74/7.72 | | | | | | | | | | | | | (848) sum(n4, n4) = all_4_3
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REDUCE: (738), (845) imply:
% 50.74/7.72 | | | | | | | | | | | | | (849) sum(n12, n12) = all_4_0
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (211), (848), (849) are
% 50.74/7.72 | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | Case 2:
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | (850) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.72 | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | BETA: splitting (850) gives:
% 50.74/7.72 | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | Case 1:
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | (851) all_4_10 = n5
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (304), (851) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (852) pred(n5) = all_4_6
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (286), (851) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (853) succ(n5) = all_4_8
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 50.74/7.72 | | | | | | | | | | | | | | simplifying with (274), (853) gives:
% 50.74/7.72 | | | | | | | | | | | | | | (854) all_4_8 = n6
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 50.74/7.72 | | | | | | | | | | | | | | simplifying with (292), (852) gives:
% 50.74/7.72 | | | | | | | | | | | | | | (855) all_4_6 = n4
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (266), (854), (855) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (856) sum(n4, n6) = all_4_1
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (734), (855) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (857) sum(n4, n15) = all_4_4
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (736), (854) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (858) sum(n13, n6) = all_4_7
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 50.74/7.72 | | | | | | | | | | | | | | simplifying with (77), (856) gives:
% 50.74/7.72 | | | | | | | | | | | | | | (859) all_4_1 = n10
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n15, n4,
% 50.74/7.72 | | | | | | | | | | | | | | simplifying with (86), (857) gives:
% 50.74/7.72 | | | | | | | | | | | | | | (860) all_4_4 = n3
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n6, n13,
% 50.74/7.72 | | | | | | | | | | | | | | simplifying with (221), (858) gives:
% 50.74/7.72 | | | | | | | | | | | | | | (861) all_4_7 = n3
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (265), (860), (861) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (862) sum(n3, n3) = all_4_3
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REDUCE: (738), (859) imply:
% 50.74/7.72 | | | | | | | | | | | | | | (863) sum(n12, n10) = all_4_0
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (209), (862), (863) are
% 50.74/7.72 | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | Case 2:
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | (864) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.72 | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | BETA: splitting (864) gives:
% 50.74/7.72 | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | Case 1:
% 50.74/7.72 | | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | | (865) all_4_10 = n4
% 50.74/7.72 | | | | | | | | | | | | | | |
% 50.74/7.72 | | | | | | | | | | | | | | | REDUCE: (304), (865) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (866) pred(n4) = all_4_6
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REDUCE: (286), (865) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (867) succ(n4) = all_4_8
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 50.74/7.73 | | | | | | | | | | | | | | | simplifying with (273), (867) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | (868) all_4_8 = n5
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 50.74/7.73 | | | | | | | | | | | | | | | simplifying with (291), (866) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | (869) all_4_6 = n3
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REDUCE: (266), (868), (869) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (870) sum(n3, n5) = all_4_1
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REDUCE: (734), (869) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (871) sum(n3, n15) = all_4_4
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REDUCE: (736), (868) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (872) sum(n13, n5) = all_4_7
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 50.74/7.73 | | | | | | | | | | | | | | | simplifying with (60), (870) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | (873) all_4_1 = n8
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n15, n3,
% 50.74/7.73 | | | | | | | | | | | | | | | simplifying with (70), (871) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | (874) all_4_4 = n2
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n5, n13,
% 50.74/7.73 | | | | | | | | | | | | | | | simplifying with (220), (872) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | (875) all_4_7 = n2
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REDUCE: (265), (874), (875) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (876) sum(n2, n2) = all_4_3
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REDUCE: (738), (873) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | (877) sum(n12, n8) = all_4_0
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (207), (876), (877) are
% 50.74/7.73 | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | Case 2:
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | (878) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.74/7.73 | | | | | | | | | | | | | | | all_4_10 = n0
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | BETA: splitting (878) gives:
% 50.74/7.73 | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | Case 1:
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | (879) all_4_10 = n3
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (304), (879) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (880) pred(n3) = all_4_6
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (286), (879) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (881) succ(n3) = all_4_8
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 50.74/7.73 | | | | | | | | | | | | | | | | simplifying with (272), (881) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | (882) all_4_8 = n4
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 50.74/7.73 | | | | | | | | | | | | | | | | simplifying with (290), (880) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | (883) all_4_6 = n2
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (266), (882), (883) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (884) sum(n2, n4) = all_4_1
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (734), (883) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (885) sum(n2, n15) = all_4_4
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (736), (882) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (886) sum(n13, n4) = all_4_7
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 50.74/7.73 | | | | | | | | | | | | | | | | simplifying with (43), (884) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | (887) all_4_1 = n6
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n15, n2,
% 50.74/7.73 | | | | | | | | | | | | | | | | simplifying with (54), (885) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | (888) all_4_4 = n1
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n4, n13,
% 50.74/7.73 | | | | | | | | | | | | | | | | simplifying with (219), (886) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | (889) all_4_7 = n1
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (265), (888), (889) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (890) sum(n1, n1) = all_4_3
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REDUCE: (738), (887) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | (891) sum(n12, n6) = all_4_0
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (205), (890), (891) are
% 50.74/7.73 | | | | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | Case 2:
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | (892) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | BETA: splitting (892) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | (893) all_4_10 = n2
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (304), (893) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (894) pred(n2) = all_4_6
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (286), (893) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (895) succ(n2) = all_4_8
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 50.74/7.73 | | | | | | | | | | | | | | | | | simplifying with (271), (895) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (896) all_4_8 = n3
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 50.74/7.73 | | | | | | | | | | | | | | | | | simplifying with (289), (894) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (897) all_4_6 = n1
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (266), (896), (897) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (898) sum(n1, n3) = all_4_1
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (734), (897) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (899) sum(n1, n15) = all_4_4
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (736), (896) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (900) sum(n13, n3) = all_4_7
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 50.74/7.73 | | | | | | | | | | | | | | | | | simplifying with (26), (898) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (901) all_4_1 = n4
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n15, n1,
% 50.74/7.73 | | | | | | | | | | | | | | | | | simplifying with (38), (899) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (902) all_4_4 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n3, n13,
% 50.74/7.73 | | | | | | | | | | | | | | | | | simplifying with (218), (900) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (903) all_4_7 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (265), (902), (903) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (904) sum(n0, n0) = all_4_3
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REDUCE: (738), (901) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | (905) sum(n12, n4) = all_4_0
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (203), (904), (905) are
% 50.74/7.73 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89.
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | (906) all_4_10 = n1 | all_4_10 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | BETA: splitting (906) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (907) all_4_10 = n1
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (304), (907) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (908) pred(n1) = all_4_6
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (286), (907) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (909) succ(n1) = all_4_8
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (270), (909) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (910) all_4_8 = n2
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (288), (908) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (911) all_4_6 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (266), (910), (911) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (912) sum(n0, n2) = all_4_1
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (734), (911) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (913) sum(n0, n15) = all_4_4
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (736), (910) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (914) sum(n13, n2) = all_4_7
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (9), (912) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (915) all_4_1 = n2
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n15, n0,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (22), (913) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (916) all_4_4 = n15
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n2, n13,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (217), (914) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (917) all_4_7 = n15
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (265), (916), (917) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (918) sum(n15, n15) = all_4_3
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (738), (915) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (919) sum(n12, n2) = all_4_0
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (201), (262), (918), (919) are
% 50.74/7.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88.
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (920) all_4_10 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (304), (920) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (921) pred(n0) = all_4_6
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (286), (920) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (922) succ(n0) = all_4_8
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (269), (922) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (923) all_4_8 = n1
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (287), (921) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (924) all_4_6 = n15
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (266), (923), (924) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (925) sum(n15, n1) = all_4_1
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (734), (924) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (926) sum(n15, n15) = all_4_4
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (736), (923) imply:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (927) sum(n13, n1) = all_4_7
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n1, n13,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (216), (927) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (928) all_4_7 = n14
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.73 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 50.74/7.73 | | | | | | | | | | | | | | | | | | simplifying with (248), (925) gives:
% 50.74/7.73 | | | | | | | | | | | | | | | | | | (929) all_4_1 = n0
% 50.74/7.73 | | | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n15, n15,
% 50.74/7.74 | | | | | | | | | | | | | | | | | | simplifying with (262), (926) gives:
% 50.74/7.74 | | | | | | | | | | | | | | | | | | (930) all_4_4 = n14
% 50.74/7.74 | | | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | | | | REDUCE: (265), (928), (930) imply:
% 50.74/7.74 | | | | | | | | | | | | | | | | | | (931) sum(n14, n14) = all_4_3
% 50.74/7.74 | | | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | | | | REDUCE: (738), (929) imply:
% 50.74/7.74 | | | | | | | | | | | | | | | | | | (932) sum(n12, n0) = all_4_0
% 50.74/7.74 | | | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (199), (245), (931), (932) are
% 50.74/7.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 50.74/7.74 | | | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | | |
% 50.74/7.74 | | | | | | | | | End of split
% 50.74/7.74 | | | | | | | | |
% 50.74/7.74 | | | | | | | | End of split
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | End of split
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | End of split
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | End of split
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | End of split
% 50.74/7.74 | | | |
% 50.74/7.74 | | | Case 2:
% 50.74/7.74 | | | |
% 50.74/7.74 | | | | (933) all_4_11 = n13 | all_4_11 = n12 | all_4_11 = n11 | all_4_11 =
% 50.74/7.74 | | | | n10 | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11
% 50.74/7.74 | | | | = n6 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11
% 50.74/7.74 | | | | = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.74 | | | |
% 50.74/7.74 | | | | BETA: splitting (728) gives:
% 50.74/7.74 | | | |
% 50.74/7.74 | | | | Case 1:
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | (934) all_4_10 = n14
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | REDUCE: (304), (934) imply:
% 50.74/7.74 | | | | | (935) pred(n14) = all_4_6
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | REDUCE: (286), (934) imply:
% 50.74/7.74 | | | | | (936) succ(n14) = all_4_8
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | GROUND_INST: instantiating (2) with n15, all_4_8, n14, simplifying
% 50.74/7.74 | | | | | with (283), (936) gives:
% 50.74/7.74 | | | | | (937) all_4_8 = n15
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | GROUND_INST: instantiating (3) with n13, all_4_6, n14, simplifying
% 50.74/7.74 | | | | | with (301), (935) gives:
% 50.74/7.74 | | | | | (938) all_4_6 = n13
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | REDUCE: (267), (938) imply:
% 50.74/7.74 | | | | | (939) sum(n13, all_4_5) = all_4_4
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | REDUCE: (266), (937), (938) imply:
% 50.74/7.74 | | | | | (940) sum(n13, n15) = all_4_1
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | REDUCE: (263), (937) imply:
% 50.74/7.74 | | | | | (941) sum(all_4_9, n15) = all_4_7
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n15, n13,
% 50.74/7.74 | | | | | simplifying with (230), (940) gives:
% 50.74/7.74 | | | | | (942) all_4_1 = n12
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | REDUCE: (268), (942) imply:
% 50.74/7.74 | | | | | (943) sum(all_4_2, n12) = all_4_0
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | BETA: splitting (933) gives:
% 50.74/7.74 | | | | |
% 50.74/7.74 | | | | | Case 1:
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | (944) all_4_11 = n13
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | REDUCE: (303), (944) imply:
% 50.74/7.74 | | | | | | (945) pred(n13) = all_4_9
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | REDUCE: (285), (944) imply:
% 50.74/7.74 | | | | | | (946) succ(n13) = all_4_5
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, simplifying
% 50.74/7.74 | | | | | | with (282), (946) gives:
% 50.74/7.74 | | | | | | (947) all_4_5 = n14
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, simplifying
% 50.74/7.74 | | | | | | with (300), (945) gives:
% 50.74/7.74 | | | | | | (948) all_4_9 = n12
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | REDUCE: (264), (947), (948) imply:
% 50.74/7.74 | | | | | | (949) sum(n12, n14) = all_4_2
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | REDUCE: (941), (948) imply:
% 50.74/7.74 | | | | | | (950) sum(n12, n15) = all_4_7
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | REDUCE: (939), (947) imply:
% 50.74/7.74 | | | | | | (951) sum(n13, n14) = all_4_4
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n14, n12,
% 50.74/7.74 | | | | | | simplifying with (213), (949) gives:
% 50.74/7.74 | | | | | | (952) all_4_2 = n10
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n15, n12,
% 50.74/7.74 | | | | | | simplifying with (214), (950) gives:
% 50.74/7.74 | | | | | | (953) all_4_7 = n11
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n14, n13,
% 50.74/7.74 | | | | | | simplifying with (229), (951) gives:
% 50.74/7.74 | | | | | | (954) all_4_4 = n11
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | REF_CLOSE: (4), (6), (179), (194), (265), (943), (952), (953), (954)
% 50.74/7.74 | | | | | | are inconsistent by sub-proof #86.
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | Case 2:
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | (955) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 | all_4_11
% 50.74/7.74 | | | | | | = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 50.74/7.74 | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 =
% 50.74/7.74 | | | | | | n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | BETA: splitting (955) gives:
% 50.74/7.74 | | | | | |
% 50.74/7.74 | | | | | | Case 1:
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | (956) all_4_11 = n12
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | REDUCE: (303), (956) imply:
% 50.74/7.74 | | | | | | | (957) pred(n12) = all_4_9
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | REDUCE: (285), (956) imply:
% 50.74/7.74 | | | | | | | (958) succ(n12) = all_4_5
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12, simplifying
% 50.74/7.74 | | | | | | | with (281), (958) gives:
% 50.74/7.74 | | | | | | | (959) all_4_5 = n13
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12, simplifying
% 50.74/7.74 | | | | | | | with (299), (957) gives:
% 50.74/7.74 | | | | | | | (960) all_4_9 = n11
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | REDUCE: (264), (959), (960) imply:
% 50.74/7.74 | | | | | | | (961) sum(n11, n13) = all_4_2
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | REDUCE: (941), (960) imply:
% 50.74/7.74 | | | | | | | (962) sum(n11, n15) = all_4_7
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | REDUCE: (939), (959) imply:
% 50.74/7.74 | | | | | | | (963) sum(n13, n13) = all_4_4
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n13, n11,
% 50.74/7.74 | | | | | | | simplifying with (196), (961) gives:
% 50.74/7.74 | | | | | | | (964) all_4_2 = n8
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n15, n11,
% 50.74/7.74 | | | | | | | simplifying with (198), (962) gives:
% 50.74/7.74 | | | | | | | (965) all_4_7 = n10
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n13, n13,
% 50.74/7.74 | | | | | | | simplifying with (228), (963) gives:
% 50.74/7.74 | | | | | | | (966) all_4_4 = n10
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | REF_CLOSE: (4), (6), (147), (177), (265), (943), (964), (965),
% 50.74/7.74 | | | | | | | (966) are inconsistent by sub-proof #85.
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | Case 2:
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | (967) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 |
% 50.74/7.74 | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 | all_4_11
% 50.74/7.74 | | | | | | | = n5 | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.74/7.74 | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | BETA: splitting (967) gives:
% 50.74/7.74 | | | | | | |
% 50.74/7.74 | | | | | | | Case 1:
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | (968) all_4_11 = n11
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | REDUCE: (303), (968) imply:
% 50.74/7.74 | | | | | | | | (969) pred(n11) = all_4_9
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | REDUCE: (285), (968) imply:
% 50.74/7.74 | | | | | | | | (970) succ(n11) = all_4_5
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11,
% 50.74/7.74 | | | | | | | | simplifying with (280), (970) gives:
% 50.74/7.74 | | | | | | | | (971) all_4_5 = n12
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11,
% 50.74/7.74 | | | | | | | | simplifying with (298), (969) gives:
% 50.74/7.74 | | | | | | | | (972) all_4_9 = n10
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | REDUCE: (264), (971), (972) imply:
% 50.74/7.74 | | | | | | | | (973) sum(n10, n12) = all_4_2
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | REDUCE: (941), (972) imply:
% 50.74/7.74 | | | | | | | | (974) sum(n10, n15) = all_4_7
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | REDUCE: (939), (971) imply:
% 50.74/7.74 | | | | | | | | (975) sum(n13, n12) = all_4_4
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n12, n10,
% 50.74/7.74 | | | | | | | | simplifying with (179), (973) gives:
% 50.74/7.74 | | | | | | | | (976) all_4_2 = n6
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n15, n10,
% 50.74/7.74 | | | | | | | | simplifying with (182), (974) gives:
% 50.74/7.74 | | | | | | | | (977) all_4_7 = n9
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n12, n13,
% 50.74/7.74 | | | | | | | | simplifying with (227), (975) gives:
% 50.74/7.74 | | | | | | | | (978) all_4_4 = n9
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | REF_CLOSE: (4), (6), (115), (160), (265), (943), (976), (977),
% 50.74/7.74 | | | | | | | | (978) are inconsistent by sub-proof #84.
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | Case 2:
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | (979) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 |
% 50.74/7.74 | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 50.74/7.74 | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.74/7.74 | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | BETA: splitting (979) gives:
% 50.74/7.74 | | | | | | | |
% 50.74/7.74 | | | | | | | | Case 1:
% 50.74/7.74 | | | | | | | | |
% 50.74/7.74 | | | | | | | | | (980) all_4_11 = n10
% 50.74/7.74 | | | | | | | | |
% 50.74/7.74 | | | | | | | | | REDUCE: (303), (980) imply:
% 50.74/7.75 | | | | | | | | | (981) pred(n10) = all_4_9
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | REDUCE: (285), (980) imply:
% 50.74/7.75 | | | | | | | | | (982) succ(n10) = all_4_5
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10,
% 50.74/7.75 | | | | | | | | | simplifying with (279), (982) gives:
% 50.74/7.75 | | | | | | | | | (983) all_4_5 = n11
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10,
% 50.74/7.75 | | | | | | | | | simplifying with (297), (981) gives:
% 50.74/7.75 | | | | | | | | | (984) all_4_9 = n9
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | REDUCE: (264), (983), (984) imply:
% 50.74/7.75 | | | | | | | | | (985) sum(n9, n11) = all_4_2
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | REDUCE: (941), (984) imply:
% 50.74/7.75 | | | | | | | | | (986) sum(n9, n15) = all_4_7
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | REDUCE: (939), (983) imply:
% 50.74/7.75 | | | | | | | | | (987) sum(n13, n11) = all_4_4
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n11, n9,
% 50.74/7.75 | | | | | | | | | simplifying with (162), (985) gives:
% 50.74/7.75 | | | | | | | | | (988) all_4_2 = n4
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n15, n9,
% 50.74/7.75 | | | | | | | | | simplifying with (166), (986) gives:
% 50.74/7.75 | | | | | | | | | (989) all_4_7 = n8
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n11, n13,
% 50.74/7.75 | | | | | | | | | simplifying with (226), (987) gives:
% 50.74/7.75 | | | | | | | | | (990) all_4_4 = n8
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | REF_CLOSE: (4), (6), (83), (143), (265), (943), (988), (989),
% 50.74/7.75 | | | | | | | | | (990) are inconsistent by sub-proof #83.
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | Case 2:
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | (991) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 50.74/7.75 | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 50.74/7.75 | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 50.74/7.75 | | | | | | | | | all_4_11 = n0
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | BETA: splitting (991) gives:
% 50.74/7.75 | | | | | | | | |
% 50.74/7.75 | | | | | | | | | Case 1:
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | (992) all_4_11 = n9
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | REDUCE: (303), (992) imply:
% 50.74/7.75 | | | | | | | | | | (993) pred(n9) = all_4_9
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | REDUCE: (285), (992) imply:
% 50.74/7.75 | | | | | | | | | | (994) succ(n9) = all_4_5
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 50.74/7.75 | | | | | | | | | | simplifying with (278), (994) gives:
% 50.74/7.75 | | | | | | | | | | (995) all_4_5 = n10
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 50.74/7.75 | | | | | | | | | | simplifying with (296), (993) gives:
% 50.74/7.75 | | | | | | | | | | (996) all_4_9 = n8
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | REDUCE: (264), (995), (996) imply:
% 50.74/7.75 | | | | | | | | | | (997) sum(n8, n10) = all_4_2
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | REDUCE: (941), (996) imply:
% 50.74/7.75 | | | | | | | | | | (998) sum(n8, n15) = all_4_7
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | REDUCE: (939), (995) imply:
% 50.74/7.75 | | | | | | | | | | (999) sum(n13, n10) = all_4_4
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 50.74/7.75 | | | | | | | | | | simplifying with (145), (997) gives:
% 50.74/7.75 | | | | | | | | | | (1000) all_4_2 = n2
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n15, n8,
% 50.74/7.75 | | | | | | | | | | simplifying with (150), (998) gives:
% 50.74/7.75 | | | | | | | | | | (1001) all_4_7 = n7
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n10, n13,
% 50.74/7.75 | | | | | | | | | | simplifying with (225), (999) gives:
% 50.74/7.75 | | | | | | | | | | (1002) all_4_4 = n7
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | REF_CLOSE: (4), (6), (51), (126), (265), (943), (1000),
% 50.74/7.75 | | | | | | | | | | (1001), (1002) are inconsistent by sub-proof #82.
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | Case 2:
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | (1003) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 50.74/7.75 | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.74/7.75 | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | BETA: splitting (1003) gives:
% 50.74/7.75 | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | Case 1:
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | (1004) all_4_11 = n8
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | REDUCE: (303), (1004) imply:
% 50.74/7.75 | | | | | | | | | | | (1005) pred(n8) = all_4_9
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | REDUCE: (285), (1004) imply:
% 50.74/7.75 | | | | | | | | | | | (1006) succ(n8) = all_4_5
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 50.74/7.75 | | | | | | | | | | | simplifying with (277), (1006) gives:
% 50.74/7.75 | | | | | | | | | | | (1007) all_4_5 = n9
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 50.74/7.75 | | | | | | | | | | | simplifying with (295), (1005) gives:
% 50.74/7.75 | | | | | | | | | | | (1008) all_4_9 = n7
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | REDUCE: (264), (1007), (1008) imply:
% 50.74/7.75 | | | | | | | | | | | (1009) sum(n7, n9) = all_4_2
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | REDUCE: (941), (1008) imply:
% 50.74/7.75 | | | | | | | | | | | (1010) sum(n7, n15) = all_4_7
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | REDUCE: (939), (1007) imply:
% 50.74/7.75 | | | | | | | | | | | (1011) sum(n13, n9) = all_4_4
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 50.74/7.75 | | | | | | | | | | | simplifying with (128), (1009) gives:
% 50.74/7.75 | | | | | | | | | | | (1012) all_4_2 = n0
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n15, n7,
% 50.74/7.75 | | | | | | | | | | | simplifying with (134), (1010) gives:
% 50.74/7.75 | | | | | | | | | | | (1013) all_4_7 = n6
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n9, n13,
% 50.74/7.75 | | | | | | | | | | | simplifying with (224), (1011) gives:
% 50.74/7.75 | | | | | | | | | | | (1014) all_4_4 = n6
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (109), (265), (943), (1012),
% 50.74/7.75 | | | | | | | | | | | (1013), (1014) are inconsistent by sub-proof #81.
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | Case 2:
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | (1015) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 50.74/7.75 | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.74/7.75 | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | BETA: splitting (1015) gives:
% 50.74/7.75 | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | Case 1:
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | (1016) all_4_11 = n7
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (303), (1016) imply:
% 50.74/7.75 | | | | | | | | | | | | (1017) pred(n7) = all_4_9
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (285), (1016) imply:
% 50.74/7.75 | | | | | | | | | | | | (1018) succ(n7) = all_4_5
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 50.74/7.75 | | | | | | | | | | | | simplifying with (276), (1018) gives:
% 50.74/7.75 | | | | | | | | | | | | (1019) all_4_5 = n8
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 50.74/7.75 | | | | | | | | | | | | simplifying with (294), (1017) gives:
% 50.74/7.75 | | | | | | | | | | | | (1020) all_4_9 = n6
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (264), (1019), (1020) imply:
% 50.74/7.75 | | | | | | | | | | | | (1021) sum(n6, n8) = all_4_2
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (941), (1020) imply:
% 50.74/7.75 | | | | | | | | | | | | (1022) sum(n6, n15) = all_4_7
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (939), (1019) imply:
% 50.74/7.75 | | | | | | | | | | | | (1023) sum(n13, n8) = all_4_4
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 50.74/7.75 | | | | | | | | | | | | simplifying with (111), (1021) gives:
% 50.74/7.75 | | | | | | | | | | | | (1024) all_4_2 = n14
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n15, n6,
% 50.74/7.75 | | | | | | | | | | | | simplifying with (118), (1022) gives:
% 50.74/7.75 | | | | | | | | | | | | (1025) all_4_7 = n5
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n8, n13,
% 50.74/7.75 | | | | | | | | | | | | simplifying with (223), (1023) gives:
% 50.74/7.75 | | | | | | | | | | | | (1026) all_4_4 = n5
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (943), (1024) imply:
% 50.74/7.75 | | | | | | | | | | | | (1027) sum(n14, n12) = all_4_0
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REDUCE: (265), (1025), (1026) imply:
% 50.74/7.75 | | | | | | | | | | | | (1028) sum(n5, n5) = all_4_3
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (243), (1027), (1028) are
% 50.74/7.75 | | | | | | | | | | | | inconsistent by sub-proof #122.
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | Case 2:
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | (1029) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 50.74/7.75 | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 50.74/7.75 | | | | | | | | | | | | all_4_11 = n0
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | BETA: splitting (1029) gives:
% 50.74/7.75 | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | Case 1:
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | (1030) all_4_11 = n6
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | REDUCE: (303), (1030) imply:
% 50.74/7.75 | | | | | | | | | | | | | (1031) pred(n6) = all_4_9
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | REDUCE: (285), (1030) imply:
% 50.74/7.75 | | | | | | | | | | | | | (1032) succ(n6) = all_4_5
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 50.74/7.75 | | | | | | | | | | | | | simplifying with (275), (1032) gives:
% 50.74/7.75 | | | | | | | | | | | | | (1033) all_4_5 = n7
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 50.74/7.75 | | | | | | | | | | | | | simplifying with (293), (1031) gives:
% 50.74/7.75 | | | | | | | | | | | | | (1034) all_4_9 = n5
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | REDUCE: (264), (1033), (1034) imply:
% 50.74/7.75 | | | | | | | | | | | | | (1035) sum(n5, n7) = all_4_2
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | REDUCE: (941), (1034) imply:
% 50.74/7.75 | | | | | | | | | | | | | (1036) sum(n5, n15) = all_4_7
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | REDUCE: (939), (1033) imply:
% 50.74/7.75 | | | | | | | | | | | | | (1037) sum(n13, n7) = all_4_4
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 50.74/7.75 | | | | | | | | | | | | | simplifying with (94), (1035) gives:
% 50.74/7.75 | | | | | | | | | | | | | (1038) all_4_2 = n12
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.75 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n15, n5,
% 50.74/7.75 | | | | | | | | | | | | | simplifying with (102), (1036) gives:
% 50.74/7.75 | | | | | | | | | | | | | (1039) all_4_7 = n4
% 50.74/7.75 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n7, n13,
% 50.74/7.76 | | | | | | | | | | | | | simplifying with (222), (1037) gives:
% 50.74/7.76 | | | | | | | | | | | | | (1040) all_4_4 = n4
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | REDUCE: (943), (1038) imply:
% 50.74/7.76 | | | | | | | | | | | | | (1041) sum(n12, n12) = all_4_0
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | REDUCE: (265), (1039), (1040) imply:
% 50.74/7.76 | | | | | | | | | | | | | (1042) sum(n4, n4) = all_4_3
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (211), (1041), (1042) are
% 50.74/7.76 | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | Case 2:
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | (1043) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.74/7.76 | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | BETA: splitting (1043) gives:
% 50.74/7.76 | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | Case 1:
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | (1044) all_4_11 = n5
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (303), (1044) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1045) pred(n5) = all_4_9
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (285), (1044) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1046) succ(n5) = all_4_5
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 50.74/7.76 | | | | | | | | | | | | | | simplifying with (274), (1046) gives:
% 50.74/7.76 | | | | | | | | | | | | | | (1047) all_4_5 = n6
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 50.74/7.76 | | | | | | | | | | | | | | simplifying with (292), (1045) gives:
% 50.74/7.76 | | | | | | | | | | | | | | (1048) all_4_9 = n4
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (264), (1047), (1048) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1049) sum(n4, n6) = all_4_2
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (941), (1048) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1050) sum(n4, n15) = all_4_7
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (939), (1047) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1051) sum(n13, n6) = all_4_4
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 50.74/7.76 | | | | | | | | | | | | | | simplifying with (77), (1049) gives:
% 50.74/7.76 | | | | | | | | | | | | | | (1052) all_4_2 = n10
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n15, n4,
% 50.74/7.76 | | | | | | | | | | | | | | simplifying with (86), (1050) gives:
% 50.74/7.76 | | | | | | | | | | | | | | (1053) all_4_7 = n3
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n6, n13,
% 50.74/7.76 | | | | | | | | | | | | | | simplifying with (221), (1051) gives:
% 50.74/7.76 | | | | | | | | | | | | | | (1054) all_4_4 = n3
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (943), (1052) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1055) sum(n10, n12) = all_4_0
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REDUCE: (265), (1053), (1054) imply:
% 50.74/7.76 | | | | | | | | | | | | | | (1056) sum(n3, n3) = all_4_3
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (179), (1055), (1056) are
% 50.74/7.76 | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | Case 2:
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | (1057) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 50.74/7.76 | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | BETA: splitting (1057) gives:
% 50.74/7.76 | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | Case 1:
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | (1058) all_4_11 = n4
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (303), (1058) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1059) pred(n4) = all_4_9
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (285), (1058) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1060) succ(n4) = all_4_5
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 50.74/7.76 | | | | | | | | | | | | | | | simplifying with (273), (1060) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | (1061) all_4_5 = n5
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 50.74/7.76 | | | | | | | | | | | | | | | simplifying with (291), (1059) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | (1062) all_4_9 = n3
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (264), (1061), (1062) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1063) sum(n3, n5) = all_4_2
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (941), (1062) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1064) sum(n3, n15) = all_4_7
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (939), (1061) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1065) sum(n13, n5) = all_4_4
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 50.74/7.76 | | | | | | | | | | | | | | | simplifying with (60), (1063) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | (1066) all_4_2 = n8
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n15, n3,
% 50.74/7.76 | | | | | | | | | | | | | | | simplifying with (70), (1064) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | (1067) all_4_7 = n2
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n5, n13,
% 50.74/7.76 | | | | | | | | | | | | | | | simplifying with (220), (1065) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | (1068) all_4_4 = n2
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (943), (1066) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1069) sum(n8, n12) = all_4_0
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REDUCE: (265), (1067), (1068) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | (1070) sum(n2, n2) = all_4_3
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (147), (1069), (1070) are
% 50.74/7.76 | | | | | | | | | | | | | | | inconsistent by sub-proof #79.
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | Case 2:
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | (1071) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 50.74/7.76 | | | | | | | | | | | | | | | all_4_11 = n0
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | BETA: splitting (1071) gives:
% 50.74/7.76 | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | Case 1:
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | (1072) all_4_11 = n3
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (303), (1072) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1073) pred(n3) = all_4_9
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (285), (1072) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1074) succ(n3) = all_4_5
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 50.74/7.76 | | | | | | | | | | | | | | | | simplifying with (272), (1074) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1075) all_4_5 = n4
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 50.74/7.76 | | | | | | | | | | | | | | | | simplifying with (290), (1073) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1076) all_4_9 = n2
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (264), (1075), (1076) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1077) sum(n2, n4) = all_4_2
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (941), (1076) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1078) sum(n2, n15) = all_4_7
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (939), (1075) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1079) sum(n13, n4) = all_4_4
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 50.74/7.76 | | | | | | | | | | | | | | | | simplifying with (43), (1077) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1080) all_4_2 = n6
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n15, n2,
% 50.74/7.76 | | | | | | | | | | | | | | | | simplifying with (54), (1078) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1081) all_4_7 = n1
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n4, n13,
% 50.74/7.76 | | | | | | | | | | | | | | | | simplifying with (219), (1079) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1082) all_4_4 = n1
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (943), (1080) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1083) sum(n6, n12) = all_4_0
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REDUCE: (265), (1081), (1082) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | (1084) sum(n1, n1) = all_4_3
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (115), (1083), (1084) are
% 50.74/7.76 | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | Case 2:
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | (1085) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | BETA: splitting (1085) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1086) all_4_11 = n2
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (303), (1086) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1087) pred(n2) = all_4_9
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (285), (1086) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1088) succ(n2) = all_4_5
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 50.74/7.76 | | | | | | | | | | | | | | | | | simplifying with (271), (1088) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1089) all_4_5 = n3
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 50.74/7.76 | | | | | | | | | | | | | | | | | simplifying with (289), (1087) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1090) all_4_9 = n1
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (264), (1089), (1090) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1091) sum(n1, n3) = all_4_2
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (941), (1090) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1092) sum(n1, n15) = all_4_7
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (939), (1089) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1093) sum(n13, n3) = all_4_4
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 50.74/7.76 | | | | | | | | | | | | | | | | | simplifying with (26), (1091) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1094) all_4_2 = n4
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n15, n1,
% 50.74/7.76 | | | | | | | | | | | | | | | | | simplifying with (38), (1092) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1095) all_4_7 = n0
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n3, n13,
% 50.74/7.76 | | | | | | | | | | | | | | | | | simplifying with (218), (1093) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1096) all_4_4 = n0
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (943), (1094) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1097) sum(n4, n12) = all_4_0
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REDUCE: (265), (1095), (1096) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1098) sum(n0, n0) = all_4_3
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (83), (1097), (1098) are
% 50.74/7.76 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | (1099) all_4_11 = n1 | all_4_11 = n0
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | BETA: splitting (1099) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.76 | | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | | (1100) all_4_11 = n1
% 50.74/7.76 | | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | | REDUCE: (303), (1100) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | | (1101) pred(n1) = all_4_9
% 50.74/7.76 | | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | | REDUCE: (285), (1100) imply:
% 50.74/7.76 | | | | | | | | | | | | | | | | | | (1102) succ(n1) = all_4_5
% 50.74/7.76 | | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 50.74/7.76 | | | | | | | | | | | | | | | | | | simplifying with (270), (1102) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | | (1103) all_4_5 = n2
% 50.74/7.76 | | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 50.74/7.76 | | | | | | | | | | | | | | | | | | simplifying with (288), (1101) gives:
% 50.74/7.76 | | | | | | | | | | | | | | | | | | (1104) all_4_9 = n0
% 50.74/7.76 | | | | | | | | | | | | | | | | | |
% 50.74/7.76 | | | | | | | | | | | | | | | | | | REDUCE: (264), (1103), (1104) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1105) sum(n0, n2) = all_4_2
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (941), (1104) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1106) sum(n0, n15) = all_4_7
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (939), (1103) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1107) sum(n13, n2) = all_4_4
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (9), (1105) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1108) all_4_2 = n2
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n15, n0,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (22), (1106) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1109) all_4_7 = n15
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n2, n13,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (217), (1107) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1110) all_4_4 = n15
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (943), (1108) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1111) sum(n2, n12) = all_4_0
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1109), (1110) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1112) sum(n15, n15) = all_4_3
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (262), (1111), (1112) are
% 50.74/7.77 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1113) all_4_11 = n0
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (303), (1113) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1114) pred(n0) = all_4_9
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (285), (1113) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1115) succ(n0) = all_4_5
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (269), (1115) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1116) all_4_5 = n1
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (287), (1114) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1117) all_4_9 = n15
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (264), (1116), (1117) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1118) sum(n15, n1) = all_4_2
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (941), (1117) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1119) sum(n15, n15) = all_4_7
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (939), (1116) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1120) sum(n13, n1) = all_4_4
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n1, n13,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (216), (1120) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1121) all_4_4 = n14
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (248), (1118) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1122) all_4_2 = n0
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n15, n15,
% 50.74/7.77 | | | | | | | | | | | | | | | | | | simplifying with (262), (1119) gives:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1123) all_4_7 = n14
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (943), (1122) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1124) sum(n0, n12) = all_4_0
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1121), (1123) imply:
% 50.74/7.77 | | | | | | | | | | | | | | | | | | (1125) sum(n14, n14) = all_4_3
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (245), (1124), (1125) are
% 50.74/7.77 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75.
% 50.74/7.77 | | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | | |
% 50.74/7.77 | | | | | | | | | End of split
% 50.74/7.77 | | | | | | | | |
% 50.74/7.77 | | | | | | | | End of split
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | End of split
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | End of split
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | End of split
% 50.74/7.77 | | | | |
% 50.74/7.77 | | | | Case 2:
% 50.74/7.77 | | | | |
% 50.74/7.77 | | | | | (1126) all_4_10 = n13 | all_4_10 = n12 | all_4_10 = n11 | all_4_10
% 50.74/7.77 | | | | | = n10 | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 50.74/7.77 | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 =
% 50.74/7.77 | | | | | n3 | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.77 | | | | |
% 50.74/7.77 | | | | | BETA: splitting (933) gives:
% 50.74/7.77 | | | | |
% 50.74/7.77 | | | | | Case 1:
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | (1127) all_4_11 = n13
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | REDUCE: (303), (1127) imply:
% 50.74/7.77 | | | | | | (1128) pred(n13) = all_4_9
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | REDUCE: (285), (1127) imply:
% 50.74/7.77 | | | | | | (1129) succ(n13) = all_4_5
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | GROUND_INST: instantiating (2) with n14, all_4_5, n13, simplifying
% 50.74/7.77 | | | | | | with (282), (1129) gives:
% 50.74/7.77 | | | | | | (1130) all_4_5 = n14
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | GROUND_INST: instantiating (3) with n12, all_4_9, n13, simplifying
% 50.74/7.77 | | | | | | with (300), (1128) gives:
% 50.74/7.77 | | | | | | (1131) all_4_9 = n12
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | REDUCE: (267), (1130) imply:
% 50.74/7.77 | | | | | | (1132) sum(all_4_6, n14) = all_4_4
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | REDUCE: (264), (1130), (1131) imply:
% 50.74/7.77 | | | | | | (1133) sum(n12, n14) = all_4_2
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | REDUCE: (263), (1131) imply:
% 50.74/7.77 | | | | | | (1134) sum(n12, all_4_8) = all_4_7
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n14, n12,
% 50.74/7.77 | | | | | | simplifying with (213), (1133) gives:
% 50.74/7.77 | | | | | | (1135) all_4_2 = n10
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | REDUCE: (268), (1135) imply:
% 50.74/7.77 | | | | | | (1136) sum(n10, all_4_1) = all_4_0
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | BETA: splitting (1126) gives:
% 50.74/7.77 | | | | | |
% 50.74/7.77 | | | | | | Case 1:
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | (1137) all_4_10 = n13
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | REDUCE: (304), (1137) imply:
% 50.74/7.77 | | | | | | | (1138) pred(n13) = all_4_6
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | REDUCE: (286), (1137) imply:
% 50.74/7.77 | | | | | | | (1139) succ(n13) = all_4_8
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, simplifying
% 50.74/7.77 | | | | | | | with (282), (1139) gives:
% 50.74/7.77 | | | | | | | (1140) all_4_8 = n14
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, simplifying
% 50.74/7.77 | | | | | | | with (300), (1138) gives:
% 50.74/7.77 | | | | | | | (1141) all_4_6 = n12
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | REDUCE: (266), (1140), (1141) imply:
% 50.74/7.77 | | | | | | | (1142) sum(n12, n14) = all_4_1
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | REDUCE: (1132), (1141) imply:
% 50.74/7.77 | | | | | | | (1143) sum(n12, n14) = all_4_4
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | REDUCE: (1134), (1140) imply:
% 50.74/7.77 | | | | | | | (1144) sum(n12, n14) = all_4_7
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n14, n12,
% 50.74/7.77 | | | | | | | simplifying with (213), (1143) gives:
% 50.74/7.77 | | | | | | | (1145) all_4_4 = n10
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n14, n12,
% 50.74/7.77 | | | | | | | simplifying with (1142), (1143) gives:
% 50.74/7.77 | | | | | | | (1146) all_4_1 = all_4_4
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n14, n12,
% 50.74/7.77 | | | | | | | simplifying with (1142), (1144) gives:
% 50.74/7.77 | | | | | | | (1147) all_4_1 = all_4_7
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | REF_CLOSE: (4), (6), (177), (265), (1136), (1145), (1146), (1147)
% 50.74/7.77 | | | | | | | are inconsistent by sub-proof #73.
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | Case 2:
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | (1148) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 |
% 50.74/7.77 | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10
% 50.74/7.77 | | | | | | | = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.77 | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | BETA: splitting (1148) gives:
% 50.74/7.77 | | | | | | |
% 50.74/7.77 | | | | | | | Case 1:
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | (1149) all_4_10 = n12
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | REDUCE: (304), (1149) imply:
% 50.74/7.77 | | | | | | | | (1150) pred(n12) = all_4_6
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | REDUCE: (286), (1149) imply:
% 50.74/7.77 | | | | | | | | (1151) succ(n12) = all_4_8
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12,
% 50.74/7.77 | | | | | | | | simplifying with (281), (1151) gives:
% 50.74/7.77 | | | | | | | | (1152) all_4_8 = n13
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12,
% 50.74/7.77 | | | | | | | | simplifying with (299), (1150) gives:
% 50.74/7.77 | | | | | | | | (1153) all_4_6 = n11
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | REDUCE: (266), (1152), (1153) imply:
% 50.74/7.77 | | | | | | | | (1154) sum(n11, n13) = all_4_1
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | REDUCE: (1132), (1153) imply:
% 50.74/7.77 | | | | | | | | (1155) sum(n11, n14) = all_4_4
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | REDUCE: (1134), (1152) imply:
% 50.74/7.77 | | | | | | | | (1156) sum(n12, n13) = all_4_7
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n13, n11,
% 50.74/7.77 | | | | | | | | simplifying with (196), (1154) gives:
% 50.74/7.77 | | | | | | | | (1157) all_4_1 = n8
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n14, n11,
% 50.74/7.77 | | | | | | | | simplifying with (197), (1155) gives:
% 50.74/7.77 | | | | | | | | (1158) all_4_4 = n9
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n13, n12,
% 50.74/7.77 | | | | | | | | simplifying with (212), (1156) gives:
% 50.74/7.77 | | | | | | | | (1159) all_4_7 = n9
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | REF_CLOSE: (4), (6), (160), (175), (265), (1136), (1157),
% 50.74/7.77 | | | | | | | | (1158), (1159) are inconsistent by sub-proof #72.
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | Case 2:
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | (1160) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 |
% 50.74/7.77 | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 50.74/7.77 | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.77 | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | BETA: splitting (1160) gives:
% 50.74/7.77 | | | | | | | |
% 50.74/7.77 | | | | | | | | Case 1:
% 50.74/7.77 | | | | | | | | |
% 50.74/7.77 | | | | | | | | | (1161) all_4_10 = n11
% 50.74/7.77 | | | | | | | | |
% 50.74/7.77 | | | | | | | | | REDUCE: (304), (1161) imply:
% 50.74/7.77 | | | | | | | | | (1162) pred(n11) = all_4_6
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | REDUCE: (286), (1161) imply:
% 50.74/7.78 | | | | | | | | | (1163) succ(n11) = all_4_8
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11,
% 50.74/7.78 | | | | | | | | | simplifying with (280), (1163) gives:
% 50.74/7.78 | | | | | | | | | (1164) all_4_8 = n12
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11,
% 50.74/7.78 | | | | | | | | | simplifying with (298), (1162) gives:
% 50.74/7.78 | | | | | | | | | (1165) all_4_6 = n10
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | REDUCE: (266), (1164), (1165) imply:
% 50.74/7.78 | | | | | | | | | (1166) sum(n10, n12) = all_4_1
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | REDUCE: (1132), (1165) imply:
% 50.74/7.78 | | | | | | | | | (1167) sum(n10, n14) = all_4_4
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | REDUCE: (1134), (1164) imply:
% 50.74/7.78 | | | | | | | | | (1168) sum(n12, n12) = all_4_7
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n12, n10,
% 50.74/7.78 | | | | | | | | | simplifying with (179), (1166) gives:
% 50.74/7.78 | | | | | | | | | (1169) all_4_1 = n6
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n14, n10,
% 50.74/7.78 | | | | | | | | | simplifying with (181), (1167) gives:
% 50.74/7.78 | | | | | | | | | (1170) all_4_4 = n8
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n12, n12,
% 50.74/7.78 | | | | | | | | | simplifying with (211), (1168) gives:
% 50.74/7.78 | | | | | | | | | (1171) all_4_7 = n8
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | REF_CLOSE: (4), (6), (143), (173), (265), (1136), (1169),
% 50.74/7.78 | | | | | | | | | (1170), (1171) are inconsistent by sub-proof #71.
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | Case 2:
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | (1172) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 50.74/7.78 | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 50.74/7.78 | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.78 | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | BETA: splitting (1172) gives:
% 50.74/7.78 | | | | | | | | |
% 50.74/7.78 | | | | | | | | | Case 1:
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | (1173) all_4_10 = n10
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | REDUCE: (304), (1173) imply:
% 50.74/7.78 | | | | | | | | | | (1174) pred(n10) = all_4_6
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | REDUCE: (286), (1173) imply:
% 50.74/7.78 | | | | | | | | | | (1175) succ(n10) = all_4_8
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 50.74/7.78 | | | | | | | | | | simplifying with (279), (1175) gives:
% 50.74/7.78 | | | | | | | | | | (1176) all_4_8 = n11
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 50.74/7.78 | | | | | | | | | | simplifying with (297), (1174) gives:
% 50.74/7.78 | | | | | | | | | | (1177) all_4_6 = n9
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | REDUCE: (266), (1176), (1177) imply:
% 50.74/7.78 | | | | | | | | | | (1178) sum(n9, n11) = all_4_1
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | REDUCE: (1132), (1177) imply:
% 50.74/7.78 | | | | | | | | | | (1179) sum(n9, n14) = all_4_4
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | REDUCE: (1134), (1176) imply:
% 50.74/7.78 | | | | | | | | | | (1180) sum(n12, n11) = all_4_7
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n11, n9,
% 50.74/7.78 | | | | | | | | | | simplifying with (162), (1178) gives:
% 50.74/7.78 | | | | | | | | | | (1181) all_4_1 = n4
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n14, n9,
% 50.74/7.78 | | | | | | | | | | simplifying with (165), (1179) gives:
% 50.74/7.78 | | | | | | | | | | (1182) all_4_4 = n7
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n11, n12,
% 50.74/7.78 | | | | | | | | | | simplifying with (210), (1180) gives:
% 50.74/7.78 | | | | | | | | | | (1183) all_4_7 = n7
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | REF_CLOSE: (4), (6), (126), (171), (265), (1136), (1181),
% 50.74/7.78 | | | | | | | | | | (1182), (1183) are inconsistent by sub-proof #70.
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | Case 2:
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | (1184) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 50.74/7.78 | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.74/7.78 | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.74/7.78 | | | | | | | | | | all_4_10 = n0
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | BETA: splitting (1184) gives:
% 50.74/7.78 | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | Case 1:
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | (1185) all_4_10 = n9
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | REDUCE: (304), (1185) imply:
% 50.74/7.78 | | | | | | | | | | | (1186) pred(n9) = all_4_6
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | REDUCE: (286), (1185) imply:
% 50.74/7.78 | | | | | | | | | | | (1187) succ(n9) = all_4_8
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 50.74/7.78 | | | | | | | | | | | simplifying with (278), (1187) gives:
% 50.74/7.78 | | | | | | | | | | | (1188) all_4_8 = n10
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 50.74/7.78 | | | | | | | | | | | simplifying with (296), (1186) gives:
% 50.74/7.78 | | | | | | | | | | | (1189) all_4_6 = n8
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | REDUCE: (266), (1188), (1189) imply:
% 50.74/7.78 | | | | | | | | | | | (1190) sum(n8, n10) = all_4_1
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | REDUCE: (1132), (1189) imply:
% 50.74/7.78 | | | | | | | | | | | (1191) sum(n8, n14) = all_4_4
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | REDUCE: (1134), (1188) imply:
% 50.74/7.78 | | | | | | | | | | | (1192) sum(n12, n10) = all_4_7
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 50.74/7.78 | | | | | | | | | | | simplifying with (145), (1190) gives:
% 50.74/7.78 | | | | | | | | | | | (1193) all_4_1 = n2
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n14, n8,
% 50.74/7.78 | | | | | | | | | | | simplifying with (149), (1191) gives:
% 50.74/7.78 | | | | | | | | | | | (1194) all_4_4 = n6
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n10, n12,
% 50.74/7.78 | | | | | | | | | | | simplifying with (209), (1192) gives:
% 50.74/7.78 | | | | | | | | | | | (1195) all_4_7 = n6
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (169), (265), (1136), (1193),
% 50.74/7.78 | | | | | | | | | | | (1194), (1195) are inconsistent by sub-proof #69.
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | Case 2:
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | (1196) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 50.74/7.78 | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.78 | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | BETA: splitting (1196) gives:
% 50.74/7.78 | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | Case 1:
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | (1197) all_4_10 = n8
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | REDUCE: (304), (1197) imply:
% 50.74/7.78 | | | | | | | | | | | | (1198) pred(n8) = all_4_6
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | REDUCE: (286), (1197) imply:
% 50.74/7.78 | | | | | | | | | | | | (1199) succ(n8) = all_4_8
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 50.74/7.78 | | | | | | | | | | | | simplifying with (277), (1199) gives:
% 50.74/7.78 | | | | | | | | | | | | (1200) all_4_8 = n9
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 50.74/7.78 | | | | | | | | | | | | simplifying with (295), (1198) gives:
% 50.74/7.78 | | | | | | | | | | | | (1201) all_4_6 = n7
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | REDUCE: (266), (1200), (1201) imply:
% 50.74/7.78 | | | | | | | | | | | | (1202) sum(n7, n9) = all_4_1
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | REDUCE: (1132), (1201) imply:
% 50.74/7.78 | | | | | | | | | | | | (1203) sum(n7, n14) = all_4_4
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | REDUCE: (1134), (1200) imply:
% 50.74/7.78 | | | | | | | | | | | | (1204) sum(n12, n9) = all_4_7
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 50.74/7.78 | | | | | | | | | | | | simplifying with (128), (1202) gives:
% 50.74/7.78 | | | | | | | | | | | | (1205) all_4_1 = n0
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n14, n7,
% 50.74/7.78 | | | | | | | | | | | | simplifying with (133), (1203) gives:
% 50.74/7.78 | | | | | | | | | | | | (1206) all_4_4 = n5
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n9, n12,
% 50.74/7.78 | | | | | | | | | | | | simplifying with (208), (1204) gives:
% 50.74/7.78 | | | | | | | | | | | | (1207) all_4_7 = n5
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (167), (265), (1136), (1205),
% 50.74/7.78 | | | | | | | | | | | | (1206), (1207) are inconsistent by sub-proof #68.
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | Case 2:
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | (1208) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 50.74/7.78 | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.78 | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | BETA: splitting (1208) gives:
% 50.74/7.78 | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | Case 1:
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | (1209) all_4_10 = n7
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | REDUCE: (304), (1209) imply:
% 50.74/7.78 | | | | | | | | | | | | | (1210) pred(n7) = all_4_6
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | REDUCE: (286), (1209) imply:
% 50.74/7.78 | | | | | | | | | | | | | (1211) succ(n7) = all_4_8
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 50.74/7.78 | | | | | | | | | | | | | simplifying with (276), (1211) gives:
% 50.74/7.78 | | | | | | | | | | | | | (1212) all_4_8 = n8
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 50.74/7.78 | | | | | | | | | | | | | simplifying with (294), (1210) gives:
% 50.74/7.78 | | | | | | | | | | | | | (1213) all_4_6 = n6
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | REDUCE: (266), (1212), (1213) imply:
% 50.74/7.78 | | | | | | | | | | | | | (1214) sum(n6, n8) = all_4_1
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | REDUCE: (1132), (1213) imply:
% 50.74/7.78 | | | | | | | | | | | | | (1215) sum(n6, n14) = all_4_4
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | REDUCE: (1134), (1212) imply:
% 50.74/7.78 | | | | | | | | | | | | | (1216) sum(n12, n8) = all_4_7
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 50.74/7.78 | | | | | | | | | | | | | simplifying with (111), (1214) gives:
% 50.74/7.78 | | | | | | | | | | | | | (1217) all_4_1 = n14
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n14, n6,
% 50.74/7.78 | | | | | | | | | | | | | simplifying with (117), (1215) gives:
% 50.74/7.78 | | | | | | | | | | | | | (1218) all_4_4 = n4
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n8, n12,
% 50.74/7.78 | | | | | | | | | | | | | simplifying with (207), (1216) gives:
% 50.74/7.78 | | | | | | | | | | | | | (1219) all_4_7 = n4
% 50.74/7.78 | | | | | | | | | | | | |
% 50.74/7.78 | | | | | | | | | | | | | REDUCE: (265), (1218), (1219) imply:
% 50.74/7.79 | | | | | | | | | | | | | (1220) sum(n4, n4) = all_4_3
% 50.74/7.79 | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | REDUCE: (1136), (1217) imply:
% 50.74/7.79 | | | | | | | | | | | | | (1221) sum(n10, n14) = all_4_0
% 50.74/7.79 | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (181), (1220), (1221) are
% 50.74/7.79 | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 50.74/7.79 | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | Case 2:
% 50.74/7.79 | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | (1222) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 50.74/7.79 | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.74/7.79 | | | | | | | | | | | | | all_4_10 = n0
% 50.74/7.79 | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 50.74/7.79 | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | Case 1:
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | (1223) all_4_10 = n6
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (304), (1223) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1224) pred(n6) = all_4_6
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (286), (1223) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1225) succ(n6) = all_4_8
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 50.74/7.79 | | | | | | | | | | | | | | simplifying with (275), (1225) gives:
% 50.74/7.79 | | | | | | | | | | | | | | (1226) all_4_8 = n7
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 50.74/7.79 | | | | | | | | | | | | | | simplifying with (293), (1224) gives:
% 50.74/7.79 | | | | | | | | | | | | | | (1227) all_4_6 = n5
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (266), (1226), (1227) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1228) sum(n5, n7) = all_4_1
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (1132), (1227) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1229) sum(n5, n14) = all_4_4
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (1134), (1226) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1230) sum(n12, n7) = all_4_7
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 50.74/7.79 | | | | | | | | | | | | | | simplifying with (94), (1228) gives:
% 50.74/7.79 | | | | | | | | | | | | | | (1231) all_4_1 = n12
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n14, n5,
% 50.74/7.79 | | | | | | | | | | | | | | simplifying with (101), (1229) gives:
% 50.74/7.79 | | | | | | | | | | | | | | (1232) all_4_4 = n3
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n7, n12,
% 50.74/7.79 | | | | | | | | | | | | | | simplifying with (206), (1230) gives:
% 50.74/7.79 | | | | | | | | | | | | | | (1233) all_4_7 = n3
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (265), (1232), (1233) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1234) sum(n3, n3) = all_4_3
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REDUCE: (1136), (1231) imply:
% 50.74/7.79 | | | | | | | | | | | | | | (1235) sum(n10, n12) = all_4_0
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (179), (1234), (1235) are
% 50.74/7.79 | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | Case 2:
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | (1236) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 50.74/7.79 | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | BETA: splitting (1236) gives:
% 50.74/7.79 | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | Case 1:
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | (1237) all_4_10 = n5
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (304), (1237) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1238) pred(n5) = all_4_6
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (286), (1237) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1239) succ(n5) = all_4_8
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 50.74/7.79 | | | | | | | | | | | | | | | simplifying with (274), (1239) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | (1240) all_4_8 = n6
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 50.74/7.79 | | | | | | | | | | | | | | | simplifying with (292), (1238) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | (1241) all_4_6 = n4
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (266), (1240), (1241) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1242) sum(n4, n6) = all_4_1
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (1132), (1241) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1243) sum(n4, n14) = all_4_4
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (1134), (1240) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1244) sum(n12, n6) = all_4_7
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 50.74/7.79 | | | | | | | | | | | | | | | simplifying with (77), (1242) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | (1245) all_4_1 = n10
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n14, n4,
% 50.74/7.79 | | | | | | | | | | | | | | | simplifying with (85), (1243) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | (1246) all_4_4 = n2
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n6, n12,
% 50.74/7.79 | | | | | | | | | | | | | | | simplifying with (205), (1244) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | (1247) all_4_7 = n2
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (265), (1246), (1247) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1248) sum(n2, n2) = all_4_3
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REDUCE: (1136), (1245) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | (1249) sum(n10, n10) = all_4_0
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (177), (1248), (1249) are
% 50.74/7.79 | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | Case 2:
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | (1250) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 50.74/7.79 | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | BETA: splitting (1250) gives:
% 50.74/7.79 | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | Case 1:
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | (1251) all_4_10 = n4
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (304), (1251) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1252) pred(n4) = all_4_6
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (286), (1251) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1253) succ(n4) = all_4_8
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 50.74/7.79 | | | | | | | | | | | | | | | | simplifying with (273), (1253) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1254) all_4_8 = n5
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 50.74/7.79 | | | | | | | | | | | | | | | | simplifying with (291), (1252) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1255) all_4_6 = n3
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (266), (1254), (1255) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1256) sum(n3, n5) = all_4_1
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (1132), (1255) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1257) sum(n3, n14) = all_4_4
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (1134), (1254) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1258) sum(n12, n5) = all_4_7
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 50.74/7.79 | | | | | | | | | | | | | | | | simplifying with (60), (1256) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1259) all_4_1 = n8
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n14, n3,
% 50.74/7.79 | | | | | | | | | | | | | | | | simplifying with (69), (1257) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1260) all_4_4 = n1
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n5, n12,
% 50.74/7.79 | | | | | | | | | | | | | | | | simplifying with (204), (1258) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1261) all_4_7 = n1
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (265), (1260), (1261) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1262) sum(n1, n1) = all_4_3
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REDUCE: (1136), (1259) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | (1263) sum(n10, n8) = all_4_0
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (175), (1262), (1263) are
% 50.74/7.79 | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | Case 2:
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | (1264) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 50.74/7.79 | | | | | | | | | | | | | | | | all_4_10 = n0
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | BETA: splitting (1264) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1265) all_4_10 = n3
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (304), (1265) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1266) pred(n3) = all_4_6
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (286), (1265) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1267) succ(n3) = all_4_8
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 50.74/7.79 | | | | | | | | | | | | | | | | | simplifying with (272), (1267) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1268) all_4_8 = n4
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 50.74/7.79 | | | | | | | | | | | | | | | | | simplifying with (290), (1266) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1269) all_4_6 = n2
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (266), (1268), (1269) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1270) sum(n2, n4) = all_4_1
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (1132), (1269) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1271) sum(n2, n14) = all_4_4
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (1134), (1268) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1272) sum(n12, n4) = all_4_7
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 50.74/7.79 | | | | | | | | | | | | | | | | | simplifying with (43), (1270) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1273) all_4_1 = n6
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n14, n2,
% 50.74/7.79 | | | | | | | | | | | | | | | | | simplifying with (53), (1271) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1274) all_4_4 = n0
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n4, n12,
% 50.74/7.79 | | | | | | | | | | | | | | | | | simplifying with (203), (1272) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1275) all_4_7 = n0
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (265), (1274), (1275) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1276) sum(n0, n0) = all_4_3
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REDUCE: (1136), (1273) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1277) sum(n10, n6) = all_4_0
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (173), (1276), (1277) are
% 50.74/7.79 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | (1278) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 50.74/7.79 | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.79 | | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | | (1279) all_4_10 = n2
% 50.74/7.79 | | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | | REDUCE: (304), (1279) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | | (1280) pred(n2) = all_4_6
% 50.74/7.79 | | | | | | | | | | | | | | | | | |
% 50.74/7.79 | | | | | | | | | | | | | | | | | | REDUCE: (286), (1279) imply:
% 50.74/7.79 | | | | | | | | | | | | | | | | | | (1281) succ(n2) = all_4_8
% 50.74/7.79 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | simplifying with (271), (1281) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1282) all_4_8 = n3
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | simplifying with (289), (1280) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1283) all_4_6 = n1
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | REDUCE: (266), (1282), (1283) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1284) sum(n1, n3) = all_4_1
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | REDUCE: (1132), (1283) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1285) sum(n1, n14) = all_4_4
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | REDUCE: (1134), (1282) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1286) sum(n12, n3) = all_4_7
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | simplifying with (26), (1284) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1287) all_4_1 = n4
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n14, n1,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | simplifying with (37), (1285) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1288) all_4_4 = n15
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n3, n12,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | simplifying with (202), (1286) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1289) all_4_7 = n15
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1288), (1289) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1290) sum(n15, n15) = all_4_3
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | REDUCE: (1136), (1287) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1291) sum(n10, n4) = all_4_0
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (171), (262), (1290), (1291) are
% 50.74/7.80 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64.
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | (1292) all_4_10 = n1 | all_4_10 = n0
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | BETA: splitting (1292) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | Case 1:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1293) all_4_10 = n1
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1293) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1294) pred(n1) = all_4_6
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1293) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1295) succ(n1) = all_4_8
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (270), (1295) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1296) all_4_8 = n2
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (288), (1294) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1297) all_4_6 = n0
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1296), (1297) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1298) sum(n0, n2) = all_4_1
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1132), (1297) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1299) sum(n0, n14) = all_4_4
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1134), (1296) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1300) sum(n12, n2) = all_4_7
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (9), (1298) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1301) all_4_1 = n2
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n14, n0,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (21), (1299) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1302) all_4_4 = n14
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n2, n12,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (201), (1300) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1303) all_4_7 = n14
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1302), (1303) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1304) sum(n14, n14) = all_4_3
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1136), (1301) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1305) sum(n10, n2) = all_4_0
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (245), (1304), (1305) are
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | Case 2:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1306) all_4_10 = n0
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1306) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1307) pred(n0) = all_4_6
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1306) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1308) succ(n0) = all_4_8
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (269), (1308) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1309) all_4_8 = n1
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (287), (1307) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1310) all_4_6 = n15
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1309), (1310) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1311) sum(n15, n1) = all_4_1
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1132), (1310) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1312) sum(n15, n14) = all_4_4
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1134), (1309) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1313) sum(n12, n1) = all_4_7
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n1, n12,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (200), (1313) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1314) all_4_7 = n13
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (248), (1311) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1315) all_4_1 = n0
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n14, n15,
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | simplifying with (261), (1312) gives:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1316) all_4_4 = n13
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1314), (1316) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1317) sum(n13, n13) = all_4_3
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REDUCE: (1136), (1315) imply:
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | (1318) sum(n10, n0) = all_4_0
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (167), (228), (1317), (1318) are
% 50.74/7.80 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 50.74/7.80 | | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | | |
% 50.74/7.80 | | | | | | | | | End of split
% 50.74/7.80 | | | | | | | | |
% 50.74/7.80 | | | | | | | | End of split
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | End of split
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | End of split
% 50.74/7.80 | | | | | |
% 50.74/7.80 | | | | | Case 2:
% 50.74/7.80 | | | | | |
% 50.74/7.80 | | | | | | (1319) all_4_11 = n12 | all_4_11 = n11 | all_4_11 = n10 |
% 50.74/7.80 | | | | | | all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 | all_4_11 =
% 50.74/7.80 | | | | | | n6 | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.74/7.80 | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.80 | | | | | |
% 50.74/7.80 | | | | | | BETA: splitting (1126) gives:
% 50.74/7.80 | | | | | |
% 50.74/7.80 | | | | | | Case 1:
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | (1320) all_4_10 = n13
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | REDUCE: (304), (1320) imply:
% 50.74/7.80 | | | | | | | (1321) pred(n13) = all_4_6
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | REDUCE: (286), (1320) imply:
% 50.74/7.80 | | | | | | | (1322) succ(n13) = all_4_8
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | GROUND_INST: instantiating (2) with n14, all_4_8, n13, simplifying
% 50.74/7.80 | | | | | | | with (282), (1322) gives:
% 50.74/7.80 | | | | | | | (1323) all_4_8 = n14
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | GROUND_INST: instantiating (3) with n12, all_4_6, n13, simplifying
% 50.74/7.80 | | | | | | | with (300), (1321) gives:
% 50.74/7.80 | | | | | | | (1324) all_4_6 = n12
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | REDUCE: (267), (1324) imply:
% 50.74/7.80 | | | | | | | (1325) sum(n12, all_4_5) = all_4_4
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | REDUCE: (266), (1323), (1324) imply:
% 50.74/7.80 | | | | | | | (1326) sum(n12, n14) = all_4_1
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | REDUCE: (263), (1323) imply:
% 50.74/7.80 | | | | | | | (1327) sum(all_4_9, n14) = all_4_7
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n14, n12,
% 50.74/7.80 | | | | | | | simplifying with (213), (1326) gives:
% 50.74/7.80 | | | | | | | (1328) all_4_1 = n10
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | REDUCE: (268), (1328) imply:
% 50.74/7.80 | | | | | | | (1329) sum(all_4_2, n10) = all_4_0
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | BETA: splitting (1319) gives:
% 50.74/7.80 | | | | | | |
% 50.74/7.80 | | | | | | | Case 1:
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | (1330) all_4_11 = n12
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | REDUCE: (303), (1330) imply:
% 50.74/7.80 | | | | | | | | (1331) pred(n12) = all_4_9
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | REDUCE: (285), (1330) imply:
% 50.74/7.80 | | | | | | | | (1332) succ(n12) = all_4_5
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12,
% 50.74/7.80 | | | | | | | | simplifying with (281), (1332) gives:
% 50.74/7.80 | | | | | | | | (1333) all_4_5 = n13
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12,
% 50.74/7.80 | | | | | | | | simplifying with (299), (1331) gives:
% 50.74/7.80 | | | | | | | | (1334) all_4_9 = n11
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | REDUCE: (264), (1333), (1334) imply:
% 50.74/7.80 | | | | | | | | (1335) sum(n11, n13) = all_4_2
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | REDUCE: (1327), (1334) imply:
% 50.74/7.80 | | | | | | | | (1336) sum(n11, n14) = all_4_7
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | REDUCE: (1325), (1333) imply:
% 50.74/7.80 | | | | | | | | (1337) sum(n12, n13) = all_4_4
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n13, n11,
% 50.74/7.80 | | | | | | | | simplifying with (196), (1335) gives:
% 50.74/7.80 | | | | | | | | (1338) all_4_2 = n8
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n14, n11,
% 50.74/7.80 | | | | | | | | simplifying with (197), (1336) gives:
% 50.74/7.80 | | | | | | | | (1339) all_4_7 = n9
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n13, n12,
% 50.74/7.80 | | | | | | | | simplifying with (212), (1337) gives:
% 50.74/7.80 | | | | | | | | (1340) all_4_4 = n9
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | REF_CLOSE: (4), (6), (145), (160), (265), (1329), (1338),
% 50.74/7.80 | | | | | | | | (1339), (1340) are inconsistent by sub-proof #61.
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | Case 2:
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | (1341) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 |
% 50.74/7.80 | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 50.74/7.80 | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 50.74/7.80 | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | BETA: splitting (1341) gives:
% 50.74/7.80 | | | | | | | |
% 50.74/7.80 | | | | | | | | Case 1:
% 50.74/7.80 | | | | | | | | |
% 50.74/7.80 | | | | | | | | | (1342) all_4_11 = n11
% 50.74/7.80 | | | | | | | | |
% 50.74/7.80 | | | | | | | | | REDUCE: (303), (1342) imply:
% 50.74/7.80 | | | | | | | | | (1343) pred(n11) = all_4_9
% 50.74/7.80 | | | | | | | | |
% 50.74/7.80 | | | | | | | | | REDUCE: (285), (1342) imply:
% 50.74/7.80 | | | | | | | | | (1344) succ(n11) = all_4_5
% 50.74/7.80 | | | | | | | | |
% 50.74/7.80 | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11,
% 50.74/7.80 | | | | | | | | | simplifying with (280), (1344) gives:
% 50.74/7.80 | | | | | | | | | (1345) all_4_5 = n12
% 50.74/7.80 | | | | | | | | |
% 50.74/7.80 | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11,
% 50.74/7.80 | | | | | | | | | simplifying with (298), (1343) gives:
% 50.74/7.81 | | | | | | | | | (1346) all_4_9 = n10
% 50.74/7.81 | | | | | | | | |
% 50.74/7.81 | | | | | | | | | REDUCE: (264), (1345), (1346) imply:
% 50.74/7.81 | | | | | | | | | (1347) sum(n10, n12) = all_4_2
% 50.74/7.81 | | | | | | | | |
% 50.74/7.81 | | | | | | | | | REDUCE: (1327), (1346) imply:
% 50.74/7.81 | | | | | | | | | (1348) sum(n10, n14) = all_4_7
% 50.74/7.81 | | | | | | | | |
% 50.74/7.81 | | | | | | | | | REDUCE: (1325), (1345) imply:
% 50.74/7.81 | | | | | | | | | (1349) sum(n12, n12) = all_4_4
% 50.74/7.81 | | | | | | | | |
% 50.74/7.81 | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n12, n10,
% 50.74/7.81 | | | | | | | | | simplifying with (179), (1347) gives:
% 50.74/7.81 | | | | | | | | | (1350) all_4_2 = n6
% 50.74/7.81 | | | | | | | | |
% 50.74/7.81 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n14, n10,
% 50.74/7.81 | | | | | | | | | simplifying with (181), (1348) gives:
% 50.74/7.81 | | | | | | | | | (1351) all_4_7 = n8
% 50.74/7.81 | | | | | | | | |
% 50.74/7.81 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n12, n12,
% 51.10/7.81 | | | | | | | | | simplifying with (211), (1349) gives:
% 51.10/7.81 | | | | | | | | | (1352) all_4_4 = n8
% 51.10/7.81 | | | | | | | | |
% 51.10/7.81 | | | | | | | | | REF_CLOSE: (4), (6), (113), (143), (265), (1329), (1350),
% 51.10/7.81 | | | | | | | | | (1351), (1352) are inconsistent by sub-proof #60.
% 51.10/7.81 | | | | | | | | |
% 51.10/7.81 | | | | | | | | Case 2:
% 51.10/7.81 | | | | | | | | |
% 51.10/7.81 | | | | | | | | | (1353) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 |
% 51.10/7.81 | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.10/7.81 | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.10/7.81 | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.81 | | | | | | | | |
% 51.10/7.81 | | | | | | | | | BETA: splitting (1353) gives:
% 51.10/7.81 | | | | | | | | |
% 51.10/7.81 | | | | | | | | | Case 1:
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | (1354) all_4_11 = n10
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | REDUCE: (303), (1354) imply:
% 51.10/7.81 | | | | | | | | | | (1355) pred(n10) = all_4_9
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | REDUCE: (285), (1354) imply:
% 51.10/7.81 | | | | | | | | | | (1356) succ(n10) = all_4_5
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10,
% 51.10/7.81 | | | | | | | | | | simplifying with (279), (1356) gives:
% 51.10/7.81 | | | | | | | | | | (1357) all_4_5 = n11
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10,
% 51.10/7.81 | | | | | | | | | | simplifying with (297), (1355) gives:
% 51.10/7.81 | | | | | | | | | | (1358) all_4_9 = n9
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | REDUCE: (264), (1357), (1358) imply:
% 51.10/7.81 | | | | | | | | | | (1359) sum(n9, n11) = all_4_2
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | REDUCE: (1327), (1358) imply:
% 51.10/7.81 | | | | | | | | | | (1360) sum(n9, n14) = all_4_7
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | REDUCE: (1325), (1357) imply:
% 51.10/7.81 | | | | | | | | | | (1361) sum(n12, n11) = all_4_4
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n11, n9,
% 51.10/7.81 | | | | | | | | | | simplifying with (162), (1359) gives:
% 51.10/7.81 | | | | | | | | | | (1362) all_4_2 = n4
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n14, n9,
% 51.10/7.81 | | | | | | | | | | simplifying with (165), (1360) gives:
% 51.10/7.81 | | | | | | | | | | (1363) all_4_7 = n7
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n11, n12,
% 51.10/7.81 | | | | | | | | | | simplifying with (210), (1361) gives:
% 51.10/7.81 | | | | | | | | | | (1364) all_4_4 = n7
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | REF_CLOSE: (4), (6), (81), (126), (265), (1329), (1362),
% 51.10/7.81 | | | | | | | | | | (1363), (1364) are inconsistent by sub-proof #59.
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | Case 2:
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | (1365) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 51.10/7.81 | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.10/7.81 | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.10/7.81 | | | | | | | | | | all_4_11 = n0
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | BETA: splitting (1365) gives:
% 51.10/7.81 | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | Case 1:
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | (1366) all_4_11 = n9
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | REDUCE: (303), (1366) imply:
% 51.10/7.81 | | | | | | | | | | | (1367) pred(n9) = all_4_9
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | REDUCE: (285), (1366) imply:
% 51.10/7.81 | | | | | | | | | | | (1368) succ(n9) = all_4_5
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 51.10/7.81 | | | | | | | | | | | simplifying with (278), (1368) gives:
% 51.10/7.81 | | | | | | | | | | | (1369) all_4_5 = n10
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 51.10/7.81 | | | | | | | | | | | simplifying with (296), (1367) gives:
% 51.10/7.81 | | | | | | | | | | | (1370) all_4_9 = n8
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | REDUCE: (264), (1369), (1370) imply:
% 51.10/7.81 | | | | | | | | | | | (1371) sum(n8, n10) = all_4_2
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | REDUCE: (1327), (1370) imply:
% 51.10/7.81 | | | | | | | | | | | (1372) sum(n8, n14) = all_4_7
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | REDUCE: (1325), (1369) imply:
% 51.10/7.81 | | | | | | | | | | | (1373) sum(n12, n10) = all_4_4
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 51.10/7.81 | | | | | | | | | | | simplifying with (145), (1371) gives:
% 51.10/7.81 | | | | | | | | | | | (1374) all_4_2 = n2
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n14, n8,
% 51.10/7.81 | | | | | | | | | | | simplifying with (149), (1372) gives:
% 51.10/7.81 | | | | | | | | | | | (1375) all_4_7 = n6
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n10, n12,
% 51.10/7.81 | | | | | | | | | | | simplifying with (209), (1373) gives:
% 51.10/7.81 | | | | | | | | | | | (1376) all_4_4 = n6
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | REF_CLOSE: (4), (6), (49), (109), (265), (1329), (1374),
% 51.10/7.81 | | | | | | | | | | | (1375), (1376) are inconsistent by sub-proof #58.
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | Case 2:
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | (1377) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 51.10/7.81 | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.10/7.81 | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | BETA: splitting (1377) gives:
% 51.10/7.81 | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | Case 1:
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | (1378) all_4_11 = n8
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | REDUCE: (303), (1378) imply:
% 51.10/7.81 | | | | | | | | | | | | (1379) pred(n8) = all_4_9
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | REDUCE: (285), (1378) imply:
% 51.10/7.81 | | | | | | | | | | | | (1380) succ(n8) = all_4_5
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 51.10/7.81 | | | | | | | | | | | | simplifying with (277), (1380) gives:
% 51.10/7.81 | | | | | | | | | | | | (1381) all_4_5 = n9
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 51.10/7.81 | | | | | | | | | | | | simplifying with (295), (1379) gives:
% 51.10/7.81 | | | | | | | | | | | | (1382) all_4_9 = n7
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | REDUCE: (264), (1381), (1382) imply:
% 51.10/7.81 | | | | | | | | | | | | (1383) sum(n7, n9) = all_4_2
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | REDUCE: (1327), (1382) imply:
% 51.10/7.81 | | | | | | | | | | | | (1384) sum(n7, n14) = all_4_7
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | REDUCE: (1325), (1381) imply:
% 51.10/7.81 | | | | | | | | | | | | (1385) sum(n12, n9) = all_4_4
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 51.10/7.81 | | | | | | | | | | | | simplifying with (128), (1383) gives:
% 51.10/7.81 | | | | | | | | | | | | (1386) all_4_2 = n0
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n14, n7,
% 51.10/7.81 | | | | | | | | | | | | simplifying with (133), (1384) gives:
% 51.10/7.81 | | | | | | | | | | | | (1387) all_4_7 = n5
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n9, n12,
% 51.10/7.81 | | | | | | | | | | | | simplifying with (208), (1385) gives:
% 51.10/7.81 | | | | | | | | | | | | (1388) all_4_4 = n5
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (92), (265), (1329), (1386),
% 51.10/7.81 | | | | | | | | | | | | (1387), (1388) are inconsistent by sub-proof #57.
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | Case 2:
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | (1389) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.10/7.81 | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.10/7.81 | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | BETA: splitting (1389) gives:
% 51.10/7.81 | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | Case 1:
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | (1390) all_4_11 = n7
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (303), (1390) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1391) pred(n7) = all_4_9
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (285), (1390) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1392) succ(n7) = all_4_5
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.10/7.81 | | | | | | | | | | | | | simplifying with (276), (1392) gives:
% 51.10/7.81 | | | | | | | | | | | | | (1393) all_4_5 = n8
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.10/7.81 | | | | | | | | | | | | | simplifying with (294), (1391) gives:
% 51.10/7.81 | | | | | | | | | | | | | (1394) all_4_9 = n6
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (264), (1393), (1394) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1395) sum(n6, n8) = all_4_2
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (1327), (1394) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1396) sum(n6, n14) = all_4_7
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (1325), (1393) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1397) sum(n12, n8) = all_4_4
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.10/7.81 | | | | | | | | | | | | | simplifying with (111), (1395) gives:
% 51.10/7.81 | | | | | | | | | | | | | (1398) all_4_2 = n14
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n14, n6,
% 51.10/7.81 | | | | | | | | | | | | | simplifying with (117), (1396) gives:
% 51.10/7.81 | | | | | | | | | | | | | (1399) all_4_7 = n4
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n8, n12,
% 51.10/7.81 | | | | | | | | | | | | | simplifying with (207), (1397) gives:
% 51.10/7.81 | | | | | | | | | | | | | (1400) all_4_4 = n4
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (1329), (1398) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1401) sum(n14, n10) = all_4_0
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REDUCE: (265), (1399), (1400) imply:
% 51.10/7.81 | | | | | | | | | | | | | (1402) sum(n4, n4) = all_4_3
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (241), (1401), (1402) are
% 51.10/7.81 | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | Case 2:
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | (1403) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.10/7.81 | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.10/7.81 | | | | | | | | | | | | | all_4_11 = n0
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | BETA: splitting (1403) gives:
% 51.10/7.81 | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | Case 1:
% 51.10/7.81 | | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | | (1404) all_4_11 = n6
% 51.10/7.81 | | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | | REDUCE: (303), (1404) imply:
% 51.10/7.81 | | | | | | | | | | | | | | (1405) pred(n6) = all_4_9
% 51.10/7.81 | | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | | REDUCE: (285), (1404) imply:
% 51.10/7.81 | | | | | | | | | | | | | | (1406) succ(n6) = all_4_5
% 51.10/7.81 | | | | | | | | | | | | | |
% 51.10/7.81 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.10/7.81 | | | | | | | | | | | | | | simplifying with (275), (1406) gives:
% 51.10/7.82 | | | | | | | | | | | | | | (1407) all_4_5 = n7
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.10/7.82 | | | | | | | | | | | | | | simplifying with (293), (1405) gives:
% 51.10/7.82 | | | | | | | | | | | | | | (1408) all_4_9 = n5
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | REDUCE: (264), (1407), (1408) imply:
% 51.10/7.82 | | | | | | | | | | | | | | (1409) sum(n5, n7) = all_4_2
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | REDUCE: (1327), (1408) imply:
% 51.10/7.82 | | | | | | | | | | | | | | (1410) sum(n5, n14) = all_4_7
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | REDUCE: (1325), (1407) imply:
% 51.10/7.82 | | | | | | | | | | | | | | (1411) sum(n12, n7) = all_4_4
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.10/7.82 | | | | | | | | | | | | | | simplifying with (94), (1409) gives:
% 51.10/7.82 | | | | | | | | | | | | | | (1412) all_4_2 = n12
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n14, n5,
% 51.10/7.82 | | | | | | | | | | | | | | simplifying with (101), (1410) gives:
% 51.10/7.82 | | | | | | | | | | | | | | (1413) all_4_7 = n3
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n7, n12,
% 51.10/7.82 | | | | | | | | | | | | | | simplifying with (206), (1411) gives:
% 51.10/7.82 | | | | | | | | | | | | | | (1414) all_4_4 = n3
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | REDUCE: (1329), (1412) imply:
% 51.10/7.82 | | | | | | | | | | | | | | (1415) sum(n12, n10) = all_4_0
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | REDUCE: (265), (1413), (1414) imply:
% 51.10/7.82 | | | | | | | | | | | | | | (1416) sum(n3, n3) = all_4_3
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (209), (1415), (1416) are
% 51.10/7.82 | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | Case 2:
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | (1417) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.10/7.82 | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | BETA: splitting (1417) gives:
% 51.10/7.82 | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | Case 1:
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | (1418) all_4_11 = n5
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (303), (1418) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1419) pred(n5) = all_4_9
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (285), (1418) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1420) succ(n5) = all_4_5
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.10/7.82 | | | | | | | | | | | | | | | simplifying with (274), (1420) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | (1421) all_4_5 = n6
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.10/7.82 | | | | | | | | | | | | | | | simplifying with (292), (1419) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | (1422) all_4_9 = n4
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (264), (1421), (1422) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1423) sum(n4, n6) = all_4_2
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (1327), (1422) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1424) sum(n4, n14) = all_4_7
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (1325), (1421) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1425) sum(n12, n6) = all_4_4
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.10/7.82 | | | | | | | | | | | | | | | simplifying with (77), (1423) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | (1426) all_4_2 = n10
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n14, n4,
% 51.10/7.82 | | | | | | | | | | | | | | | simplifying with (85), (1424) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | (1427) all_4_7 = n2
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n6, n12,
% 51.10/7.82 | | | | | | | | | | | | | | | simplifying with (205), (1425) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | (1428) all_4_4 = n2
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (1329), (1426) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1429) sum(n10, n10) = all_4_0
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REDUCE: (265), (1427), (1428) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | (1430) sum(n2, n2) = all_4_3
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (177), (1429), (1430) are
% 51.10/7.82 | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | Case 2:
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | (1431) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.10/7.82 | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | BETA: splitting (1431) gives:
% 51.10/7.82 | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | Case 1:
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | (1432) all_4_11 = n4
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (303), (1432) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1433) pred(n4) = all_4_9
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (285), (1432) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1434) succ(n4) = all_4_5
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.10/7.82 | | | | | | | | | | | | | | | | simplifying with (273), (1434) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1435) all_4_5 = n5
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.10/7.82 | | | | | | | | | | | | | | | | simplifying with (291), (1433) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1436) all_4_9 = n3
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (264), (1435), (1436) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1437) sum(n3, n5) = all_4_2
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (1327), (1436) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1438) sum(n3, n14) = all_4_7
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (1325), (1435) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1439) sum(n12, n5) = all_4_4
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.10/7.82 | | | | | | | | | | | | | | | | simplifying with (60), (1437) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1440) all_4_2 = n8
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n14, n3,
% 51.10/7.82 | | | | | | | | | | | | | | | | simplifying with (69), (1438) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1441) all_4_7 = n1
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n5, n12,
% 51.10/7.82 | | | | | | | | | | | | | | | | simplifying with (204), (1439) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1442) all_4_4 = n1
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (1329), (1440) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1443) sum(n8, n10) = all_4_0
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REDUCE: (265), (1441), (1442) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | (1444) sum(n1, n1) = all_4_3
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (145), (1443), (1444) are
% 51.10/7.82 | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | Case 2:
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | (1445) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.10/7.82 | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | BETA: splitting (1445) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1446) all_4_11 = n3
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (303), (1446) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1447) pred(n3) = all_4_9
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (285), (1446) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1448) succ(n3) = all_4_5
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.10/7.82 | | | | | | | | | | | | | | | | | simplifying with (272), (1448) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1449) all_4_5 = n4
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.10/7.82 | | | | | | | | | | | | | | | | | simplifying with (290), (1447) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1450) all_4_9 = n2
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (264), (1449), (1450) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1451) sum(n2, n4) = all_4_2
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (1327), (1450) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1452) sum(n2, n14) = all_4_7
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (1325), (1449) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1453) sum(n12, n4) = all_4_4
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.10/7.82 | | | | | | | | | | | | | | | | | simplifying with (43), (1451) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1454) all_4_2 = n6
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n14, n2,
% 51.10/7.82 | | | | | | | | | | | | | | | | | simplifying with (53), (1452) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1455) all_4_7 = n0
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n4, n12,
% 51.10/7.82 | | | | | | | | | | | | | | | | | simplifying with (203), (1453) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1456) all_4_4 = n0
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (1329), (1454) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1457) sum(n6, n10) = all_4_0
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REDUCE: (265), (1455), (1456) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1458) sum(n0, n0) = all_4_3
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (113), (1457), (1458) are
% 51.10/7.82 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | (1459) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | BETA: splitting (1459) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1460) all_4_11 = n2
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (303), (1460) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1461) pred(n2) = all_4_9
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (285), (1460) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1462) succ(n2) = all_4_5
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.10/7.82 | | | | | | | | | | | | | | | | | | simplifying with (271), (1462) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1463) all_4_5 = n3
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.10/7.82 | | | | | | | | | | | | | | | | | | simplifying with (289), (1461) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1464) all_4_9 = n1
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (264), (1463), (1464) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1465) sum(n1, n3) = all_4_2
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (1327), (1464) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1466) sum(n1, n14) = all_4_7
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (1325), (1463) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1467) sum(n12, n3) = all_4_4
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.10/7.82 | | | | | | | | | | | | | | | | | | simplifying with (26), (1465) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1468) all_4_2 = n4
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n14, n1,
% 51.10/7.82 | | | | | | | | | | | | | | | | | | simplifying with (37), (1466) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1469) all_4_7 = n15
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n3, n12,
% 51.10/7.82 | | | | | | | | | | | | | | | | | | simplifying with (202), (1467) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1470) all_4_4 = n15
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (1329), (1468) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1471) sum(n4, n10) = all_4_0
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1469), (1470) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1472) sum(n15, n15) = all_4_3
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (262), (1471), (1472) are
% 51.10/7.82 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | (1473) all_4_11 = n1 | all_4_11 = n0
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 51.10/7.82 | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | | (1474) all_4_11 = n1
% 51.10/7.82 | | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (1474) imply:
% 51.10/7.82 | | | | | | | | | | | | | | | | | | | (1475) pred(n1) = all_4_9
% 51.10/7.82 | | | | | | | | | | | | | | | | | | |
% 51.10/7.82 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (1474) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1476) succ(n1) = all_4_5
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (270), (1476) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1477) all_4_5 = n2
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (288), (1475) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1478) all_4_9 = n0
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (1477), (1478) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1479) sum(n0, n2) = all_4_2
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1327), (1478) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1480) sum(n0, n14) = all_4_7
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1325), (1477) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1481) sum(n12, n2) = all_4_4
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (9), (1479) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1482) all_4_2 = n2
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n14, n0,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (21), (1480) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1483) all_4_7 = n14
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n2, n12,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (201), (1481) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1484) all_4_4 = n14
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1329), (1482) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1485) sum(n2, n10) = all_4_0
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1483), (1484) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1486) sum(n14, n14) = all_4_3
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (49), (245), (1485), (1486) are
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1487) all_4_11 = n0
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (1487) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1488) pred(n0) = all_4_9
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (1487) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1489) succ(n0) = all_4_5
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (269), (1489) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1490) all_4_5 = n1
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (287), (1488) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1491) all_4_9 = n15
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (1490), (1491) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1492) sum(n15, n1) = all_4_2
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1327), (1491) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1493) sum(n15, n14) = all_4_7
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1325), (1490) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1494) sum(n12, n1) = all_4_4
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n1, n12,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (200), (1494) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1495) all_4_4 = n13
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (248), (1492) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1496) all_4_2 = n0
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n14, n15,
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | simplifying with (261), (1493) gives:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1497) all_4_7 = n13
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (1329), (1496) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1498) sum(n0, n10) = all_4_0
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1495), (1497) imply:
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | (1499) sum(n13, n13) = all_4_3
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (228), (1498), (1499) are
% 51.10/7.83 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 51.10/7.83 | | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | End of split
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | End of split
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | End of split
% 51.10/7.83 | | | | | | |
% 51.10/7.83 | | | | | | Case 2:
% 51.10/7.83 | | | | | | |
% 51.10/7.83 | | | | | | | (1500) all_4_10 = n12 | all_4_10 = n11 | all_4_10 = n10 |
% 51.10/7.83 | | | | | | | all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 | all_4_10
% 51.10/7.83 | | | | | | | = n6 | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.83 | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.83 | | | | | | |
% 51.10/7.83 | | | | | | | BETA: splitting (1319) gives:
% 51.10/7.83 | | | | | | |
% 51.10/7.83 | | | | | | | Case 1:
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | (1501) all_4_11 = n12
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | REDUCE: (303), (1501) imply:
% 51.10/7.83 | | | | | | | | (1502) pred(n12) = all_4_9
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | REDUCE: (285), (1501) imply:
% 51.10/7.83 | | | | | | | | (1503) succ(n12) = all_4_5
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_5, n12,
% 51.10/7.83 | | | | | | | | simplifying with (281), (1503) gives:
% 51.10/7.83 | | | | | | | | (1504) all_4_5 = n13
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_9, n12,
% 51.10/7.83 | | | | | | | | simplifying with (299), (1502) gives:
% 51.10/7.83 | | | | | | | | (1505) all_4_9 = n11
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | REDUCE: (267), (1504) imply:
% 51.10/7.83 | | | | | | | | (1506) sum(all_4_6, n13) = all_4_4
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | REDUCE: (264), (1504), (1505) imply:
% 51.10/7.83 | | | | | | | | (1507) sum(n11, n13) = all_4_2
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | REDUCE: (263), (1505) imply:
% 51.10/7.83 | | | | | | | | (1508) sum(n11, all_4_8) = all_4_7
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n13, n11,
% 51.10/7.83 | | | | | | | | simplifying with (196), (1507) gives:
% 51.10/7.83 | | | | | | | | (1509) all_4_2 = n8
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | REDUCE: (268), (1509) imply:
% 51.10/7.83 | | | | | | | | (1510) sum(n8, all_4_1) = all_4_0
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | BETA: splitting (1500) gives:
% 51.10/7.83 | | | | | | | |
% 51.10/7.83 | | | | | | | | Case 1:
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | (1511) all_4_10 = n12
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | REDUCE: (304), (1511) imply:
% 51.10/7.83 | | | | | | | | | (1512) pred(n12) = all_4_6
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | REDUCE: (286), (1511) imply:
% 51.10/7.83 | | | | | | | | | (1513) succ(n12) = all_4_8
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12,
% 51.10/7.83 | | | | | | | | | simplifying with (281), (1513) gives:
% 51.10/7.83 | | | | | | | | | (1514) all_4_8 = n13
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12,
% 51.10/7.83 | | | | | | | | | simplifying with (299), (1512) gives:
% 51.10/7.83 | | | | | | | | | (1515) all_4_6 = n11
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | REDUCE: (266), (1514), (1515) imply:
% 51.10/7.83 | | | | | | | | | (1516) sum(n11, n13) = all_4_1
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | REDUCE: (1506), (1515) imply:
% 51.10/7.83 | | | | | | | | | (1517) sum(n11, n13) = all_4_4
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | REDUCE: (1508), (1514) imply:
% 51.10/7.83 | | | | | | | | | (1518) sum(n11, n13) = all_4_7
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n13, n11,
% 51.10/7.83 | | | | | | | | | simplifying with (196), (1517) gives:
% 51.10/7.83 | | | | | | | | | (1519) all_4_4 = n8
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n13, n11,
% 51.10/7.83 | | | | | | | | | simplifying with (1516), (1517) gives:
% 51.10/7.83 | | | | | | | | | (1520) all_4_1 = all_4_4
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n13, n11,
% 51.10/7.83 | | | | | | | | | simplifying with (1516), (1518) gives:
% 51.10/7.83 | | | | | | | | | (1521) all_4_1 = all_4_7
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | REF_CLOSE: (4), (6), (143), (265), (1510), (1519), (1520),
% 51.10/7.83 | | | | | | | | | (1521) are inconsistent by sub-proof #50.
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | Case 2:
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | (1522) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 |
% 51.10/7.83 | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.10/7.83 | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.83 | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | BETA: splitting (1522) gives:
% 51.10/7.83 | | | | | | | | |
% 51.10/7.83 | | | | | | | | | Case 1:
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | (1523) all_4_10 = n11
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | REDUCE: (304), (1523) imply:
% 51.10/7.83 | | | | | | | | | | (1524) pred(n11) = all_4_6
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | REDUCE: (286), (1523) imply:
% 51.10/7.83 | | | | | | | | | | (1525) succ(n11) = all_4_8
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11,
% 51.10/7.83 | | | | | | | | | | simplifying with (280), (1525) gives:
% 51.10/7.83 | | | | | | | | | | (1526) all_4_8 = n12
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11,
% 51.10/7.83 | | | | | | | | | | simplifying with (298), (1524) gives:
% 51.10/7.83 | | | | | | | | | | (1527) all_4_6 = n10
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | REDUCE: (266), (1526), (1527) imply:
% 51.10/7.83 | | | | | | | | | | (1528) sum(n10, n12) = all_4_1
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | REDUCE: (1506), (1527) imply:
% 51.10/7.83 | | | | | | | | | | (1529) sum(n10, n13) = all_4_4
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | REDUCE: (1508), (1526) imply:
% 51.10/7.83 | | | | | | | | | | (1530) sum(n11, n12) = all_4_7
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n12, n10,
% 51.10/7.83 | | | | | | | | | | simplifying with (179), (1528) gives:
% 51.10/7.83 | | | | | | | | | | (1531) all_4_1 = n6
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n13, n10,
% 51.10/7.83 | | | | | | | | | | simplifying with (180), (1529) gives:
% 51.10/7.83 | | | | | | | | | | (1532) all_4_4 = n7
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n12, n11,
% 51.10/7.83 | | | | | | | | | | simplifying with (195), (1530) gives:
% 51.10/7.83 | | | | | | | | | | (1533) all_4_7 = n7
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | REF_CLOSE: (4), (6), (126), (141), (265), (1510), (1531),
% 51.10/7.83 | | | | | | | | | | (1532), (1533) are inconsistent by sub-proof #49.
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | Case 2:
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | (1534) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 51.10/7.83 | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.10/7.83 | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.10/7.83 | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | BETA: splitting (1534) gives:
% 51.10/7.83 | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | Case 1:
% 51.10/7.83 | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | (1535) all_4_10 = n10
% 51.10/7.83 | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | REDUCE: (304), (1535) imply:
% 51.10/7.83 | | | | | | | | | | | (1536) pred(n10) = all_4_6
% 51.10/7.83 | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | REDUCE: (286), (1535) imply:
% 51.10/7.83 | | | | | | | | | | | (1537) succ(n10) = all_4_8
% 51.10/7.83 | | | | | | | | | | |
% 51.10/7.83 | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 51.10/7.84 | | | | | | | | | | | simplifying with (279), (1537) gives:
% 51.10/7.84 | | | | | | | | | | | (1538) all_4_8 = n11
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 51.10/7.84 | | | | | | | | | | | simplifying with (297), (1536) gives:
% 51.10/7.84 | | | | | | | | | | | (1539) all_4_6 = n9
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | REDUCE: (266), (1538), (1539) imply:
% 51.10/7.84 | | | | | | | | | | | (1540) sum(n9, n11) = all_4_1
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | REDUCE: (1506), (1539) imply:
% 51.10/7.84 | | | | | | | | | | | (1541) sum(n9, n13) = all_4_4
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | REDUCE: (1508), (1538) imply:
% 51.10/7.84 | | | | | | | | | | | (1542) sum(n11, n11) = all_4_7
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n11, n9,
% 51.10/7.84 | | | | | | | | | | | simplifying with (162), (1540) gives:
% 51.10/7.84 | | | | | | | | | | | (1543) all_4_1 = n4
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n13, n9,
% 51.10/7.84 | | | | | | | | | | | simplifying with (164), (1541) gives:
% 51.10/7.84 | | | | | | | | | | | (1544) all_4_4 = n6
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n11, n11,
% 51.10/7.84 | | | | | | | | | | | simplifying with (194), (1542) gives:
% 51.10/7.84 | | | | | | | | | | | (1545) all_4_7 = n6
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (139), (265), (1510), (1543),
% 51.10/7.84 | | | | | | | | | | | (1544), (1545) are inconsistent by sub-proof #48.
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | Case 2:
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | (1546) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 51.10/7.84 | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.10/7.84 | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.10/7.84 | | | | | | | | | | | all_4_10 = n0
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | BETA: splitting (1546) gives:
% 51.10/7.84 | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | Case 1:
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | (1547) all_4_10 = n9
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | REDUCE: (304), (1547) imply:
% 51.10/7.84 | | | | | | | | | | | | (1548) pred(n9) = all_4_6
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | REDUCE: (286), (1547) imply:
% 51.10/7.84 | | | | | | | | | | | | (1549) succ(n9) = all_4_8
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 51.10/7.84 | | | | | | | | | | | | simplifying with (278), (1549) gives:
% 51.10/7.84 | | | | | | | | | | | | (1550) all_4_8 = n10
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 51.10/7.84 | | | | | | | | | | | | simplifying with (296), (1548) gives:
% 51.10/7.84 | | | | | | | | | | | | (1551) all_4_6 = n8
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | REDUCE: (266), (1550), (1551) imply:
% 51.10/7.84 | | | | | | | | | | | | (1552) sum(n8, n10) = all_4_1
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | REDUCE: (1506), (1551) imply:
% 51.10/7.84 | | | | | | | | | | | | (1553) sum(n8, n13) = all_4_4
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | REDUCE: (1508), (1550) imply:
% 51.10/7.84 | | | | | | | | | | | | (1554) sum(n11, n10) = all_4_7
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 51.10/7.84 | | | | | | | | | | | | simplifying with (145), (1552) gives:
% 51.10/7.84 | | | | | | | | | | | | (1555) all_4_1 = n2
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n13, n8,
% 51.10/7.84 | | | | | | | | | | | | simplifying with (148), (1553) gives:
% 51.10/7.84 | | | | | | | | | | | | (1556) all_4_4 = n5
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n10, n11,
% 51.10/7.84 | | | | | | | | | | | | simplifying with (193), (1554) gives:
% 51.10/7.84 | | | | | | | | | | | | (1557) all_4_7 = n5
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (137), (265), (1510), (1555),
% 51.10/7.84 | | | | | | | | | | | | (1556), (1557) are inconsistent by sub-proof #47.
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | Case 2:
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | (1558) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.10/7.84 | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.84 | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | BETA: splitting (1558) gives:
% 51.10/7.84 | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | Case 1:
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | (1559) all_4_10 = n8
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | REDUCE: (304), (1559) imply:
% 51.10/7.84 | | | | | | | | | | | | | (1560) pred(n8) = all_4_6
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | REDUCE: (286), (1559) imply:
% 51.10/7.84 | | | | | | | | | | | | | (1561) succ(n8) = all_4_8
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 51.10/7.84 | | | | | | | | | | | | | simplifying with (277), (1561) gives:
% 51.10/7.84 | | | | | | | | | | | | | (1562) all_4_8 = n9
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 51.10/7.84 | | | | | | | | | | | | | simplifying with (295), (1560) gives:
% 51.10/7.84 | | | | | | | | | | | | | (1563) all_4_6 = n7
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | REDUCE: (266), (1562), (1563) imply:
% 51.10/7.84 | | | | | | | | | | | | | (1564) sum(n7, n9) = all_4_1
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | REDUCE: (1506), (1563) imply:
% 51.10/7.84 | | | | | | | | | | | | | (1565) sum(n7, n13) = all_4_4
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | REDUCE: (1508), (1562) imply:
% 51.10/7.84 | | | | | | | | | | | | | (1566) sum(n11, n9) = all_4_7
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 51.10/7.84 | | | | | | | | | | | | | simplifying with (128), (1564) gives:
% 51.10/7.84 | | | | | | | | | | | | | (1567) all_4_1 = n0
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n13, n7,
% 51.10/7.84 | | | | | | | | | | | | | simplifying with (132), (1565) gives:
% 51.10/7.84 | | | | | | | | | | | | | (1568) all_4_4 = n4
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n9, n11,
% 51.10/7.84 | | | | | | | | | | | | | simplifying with (192), (1566) gives:
% 51.10/7.84 | | | | | | | | | | | | | (1569) all_4_7 = n4
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (135), (265), (1510), (1567),
% 51.10/7.84 | | | | | | | | | | | | | (1568), (1569) are inconsistent by sub-proof #46.
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | Case 2:
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | (1570) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.10/7.84 | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.10/7.84 | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | BETA: splitting (1570) gives:
% 51.10/7.84 | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | Case 1:
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | (1571) all_4_10 = n7
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (304), (1571) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1572) pred(n7) = all_4_6
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (286), (1571) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1573) succ(n7) = all_4_8
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.10/7.84 | | | | | | | | | | | | | | simplifying with (276), (1573) gives:
% 51.10/7.84 | | | | | | | | | | | | | | (1574) all_4_8 = n8
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.10/7.84 | | | | | | | | | | | | | | simplifying with (294), (1572) gives:
% 51.10/7.84 | | | | | | | | | | | | | | (1575) all_4_6 = n6
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (266), (1574), (1575) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1576) sum(n6, n8) = all_4_1
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (1506), (1575) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1577) sum(n6, n13) = all_4_4
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (1508), (1574) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1578) sum(n11, n8) = all_4_7
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 51.10/7.84 | | | | | | | | | | | | | | simplifying with (111), (1576) gives:
% 51.10/7.84 | | | | | | | | | | | | | | (1579) all_4_1 = n14
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n13, n6,
% 51.10/7.84 | | | | | | | | | | | | | | simplifying with (116), (1577) gives:
% 51.10/7.84 | | | | | | | | | | | | | | (1580) all_4_4 = n3
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n8, n11,
% 51.10/7.84 | | | | | | | | | | | | | | simplifying with (191), (1578) gives:
% 51.10/7.84 | | | | | | | | | | | | | | (1581) all_4_7 = n3
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (265), (1580), (1581) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1582) sum(n3, n3) = all_4_3
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REDUCE: (1510), (1579) imply:
% 51.10/7.84 | | | | | | | | | | | | | | (1583) sum(n8, n14) = all_4_0
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (149), (1582), (1583) are
% 51.10/7.84 | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | Case 2:
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | (1584) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.10/7.84 | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.10/7.84 | | | | | | | | | | | | | | all_4_10 = n0
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 51.10/7.84 | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | Case 1:
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | (1585) all_4_10 = n6
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (304), (1585) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1586) pred(n6) = all_4_6
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (286), (1585) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1587) succ(n6) = all_4_8
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.10/7.84 | | | | | | | | | | | | | | | simplifying with (275), (1587) gives:
% 51.10/7.84 | | | | | | | | | | | | | | | (1588) all_4_8 = n7
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.10/7.84 | | | | | | | | | | | | | | | simplifying with (293), (1586) gives:
% 51.10/7.84 | | | | | | | | | | | | | | | (1589) all_4_6 = n5
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (266), (1588), (1589) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1590) sum(n5, n7) = all_4_1
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (1506), (1589) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1591) sum(n5, n13) = all_4_4
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (1508), (1588) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1592) sum(n11, n7) = all_4_7
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 51.10/7.84 | | | | | | | | | | | | | | | simplifying with (94), (1590) gives:
% 51.10/7.84 | | | | | | | | | | | | | | | (1593) all_4_1 = n12
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n13, n5,
% 51.10/7.84 | | | | | | | | | | | | | | | simplifying with (100), (1591) gives:
% 51.10/7.84 | | | | | | | | | | | | | | | (1594) all_4_4 = n2
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n7, n11,
% 51.10/7.84 | | | | | | | | | | | | | | | simplifying with (190), (1592) gives:
% 51.10/7.84 | | | | | | | | | | | | | | | (1595) all_4_7 = n2
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (265), (1594), (1595) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1596) sum(n2, n2) = all_4_3
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REDUCE: (1510), (1593) imply:
% 51.10/7.84 | | | | | | | | | | | | | | | (1597) sum(n8, n12) = all_4_0
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (147), (1596), (1597) are
% 51.10/7.84 | | | | | | | | | | | | | | | inconsistent by sub-proof #79.
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | Case 2:
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | (1598) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.84 | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | BETA: splitting (1598) gives:
% 51.10/7.84 | | | | | | | | | | | | | | |
% 51.10/7.84 | | | | | | | | | | | | | | | Case 1:
% 51.10/7.84 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | (1599) all_4_10 = n5
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (304), (1599) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1600) pred(n5) = all_4_6
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (286), (1599) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1601) succ(n5) = all_4_8
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.10/7.85 | | | | | | | | | | | | | | | | simplifying with (274), (1601) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1602) all_4_8 = n6
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.10/7.85 | | | | | | | | | | | | | | | | simplifying with (292), (1600) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1603) all_4_6 = n4
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (266), (1602), (1603) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1604) sum(n4, n6) = all_4_1
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (1506), (1603) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1605) sum(n4, n13) = all_4_4
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (1508), (1602) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1606) sum(n11, n6) = all_4_7
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.10/7.85 | | | | | | | | | | | | | | | | simplifying with (77), (1604) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1607) all_4_1 = n10
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n13, n4,
% 51.10/7.85 | | | | | | | | | | | | | | | | simplifying with (84), (1605) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1608) all_4_4 = n1
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n6, n11,
% 51.10/7.85 | | | | | | | | | | | | | | | | simplifying with (189), (1606) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1609) all_4_7 = n1
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (265), (1608), (1609) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1610) sum(n1, n1) = all_4_3
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REDUCE: (1510), (1607) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | (1611) sum(n8, n10) = all_4_0
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (145), (1610), (1611) are
% 51.10/7.85 | | | | | | | | | | | | | | | | inconsistent by sub-proof #56.
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | Case 2:
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | (1612) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.10/7.85 | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | BETA: splitting (1612) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1613) all_4_10 = n4
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (304), (1613) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1614) pred(n4) = all_4_6
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (286), (1613) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1615) succ(n4) = all_4_8
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.10/7.85 | | | | | | | | | | | | | | | | | simplifying with (273), (1615) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1616) all_4_8 = n5
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.10/7.85 | | | | | | | | | | | | | | | | | simplifying with (291), (1614) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1617) all_4_6 = n3
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (266), (1616), (1617) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1618) sum(n3, n5) = all_4_1
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (1506), (1617) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1619) sum(n3, n13) = all_4_4
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (1508), (1616) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1620) sum(n11, n5) = all_4_7
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.10/7.85 | | | | | | | | | | | | | | | | | simplifying with (60), (1618) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1621) all_4_1 = n8
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n13, n3,
% 51.10/7.85 | | | | | | | | | | | | | | | | | simplifying with (68), (1619) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1622) all_4_4 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n5, n11,
% 51.10/7.85 | | | | | | | | | | | | | | | | | simplifying with (188), (1620) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1623) all_4_7 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (265), (1622), (1623) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1624) sum(n0, n0) = all_4_3
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REDUCE: (1510), (1621) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1625) sum(n8, n8) = all_4_0
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (143), (1624), (1625) are
% 51.10/7.85 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | (1626) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.10/7.85 | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | BETA: splitting (1626) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1627) all_4_10 = n3
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (304), (1627) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1628) pred(n3) = all_4_6
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (286), (1627) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1629) succ(n3) = all_4_8
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | simplifying with (272), (1629) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1630) all_4_8 = n4
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | simplifying with (290), (1628) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1631) all_4_6 = n2
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (266), (1630), (1631) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1632) sum(n2, n4) = all_4_1
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (1506), (1631) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1633) sum(n2, n13) = all_4_4
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (1508), (1630) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1634) sum(n11, n4) = all_4_7
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | simplifying with (43), (1632) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1635) all_4_1 = n6
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n13, n2,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | simplifying with (52), (1633) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1636) all_4_4 = n15
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n4, n11,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | simplifying with (187), (1634) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1637) all_4_7 = n15
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1636), (1637) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1638) sum(n15, n15) = all_4_3
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REDUCE: (1510), (1635) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1639) sum(n8, n6) = all_4_0
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (141), (262), (1638), (1639) are
% 51.10/7.85 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | (1640) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1641) all_4_10 = n2
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1641) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1642) pred(n2) = all_4_6
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1641) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1643) succ(n2) = all_4_8
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | simplifying with (271), (1643) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1644) all_4_8 = n3
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | simplifying with (289), (1642) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1645) all_4_6 = n1
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1644), (1645) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1646) sum(n1, n3) = all_4_1
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (1506), (1645) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1647) sum(n1, n13) = all_4_4
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (1508), (1644) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1648) sum(n11, n3) = all_4_7
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | simplifying with (26), (1646) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1649) all_4_1 = n4
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n13, n1,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | simplifying with (36), (1647) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1650) all_4_4 = n14
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n3, n11,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | simplifying with (186), (1648) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1651) all_4_7 = n14
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1650), (1651) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1652) sum(n14, n14) = all_4_3
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REDUCE: (1510), (1649) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1653) sum(n8, n4) = all_4_0
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (139), (245), (1652), (1653) are
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43.
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | (1654) all_4_10 = n1 | all_4_10 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (1654) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1655) all_4_10 = n1
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1655) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1656) pred(n1) = all_4_6
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1655) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1657) succ(n1) = all_4_8
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | simplifying with (270), (1657) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1658) all_4_8 = n2
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | simplifying with (288), (1656) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1659) all_4_6 = n0
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1658), (1659) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1660) sum(n0, n2) = all_4_1
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (1506), (1659) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1661) sum(n0, n13) = all_4_4
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (1508), (1658) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1662) sum(n11, n2) = all_4_7
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | simplifying with (9), (1660) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1663) all_4_1 = n2
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n13, n0,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (1661) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1664) all_4_4 = n13
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n2, n11,
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | simplifying with (185), (1662) gives:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1665) all_4_7 = n13
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1664), (1665) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1666) sum(n13, n13) = all_4_3
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (1510), (1663) imply:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1667) sum(n8, n2) = all_4_0
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (137), (228), (1666), (1667) are
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.85 | | | | | | | | | | | | | | | | | | | | (1668) all_4_10 = n0
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1668) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1669) pred(n0) = all_4_6
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1668) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1670) succ(n0) = all_4_8
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | simplifying with (269), (1670) gives:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1671) all_4_8 = n1
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | simplifying with (287), (1669) gives:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1672) all_4_6 = n15
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1671), (1672) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1673) sum(n15, n1) = all_4_1
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (1506), (1672) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1674) sum(n15, n13) = all_4_4
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (1508), (1671) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1675) sum(n11, n1) = all_4_7
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n1, n11,
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | simplifying with (184), (1675) gives:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1676) all_4_7 = n12
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | simplifying with (248), (1673) gives:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1677) all_4_1 = n0
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n13, n15,
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | simplifying with (260), (1674) gives:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1678) all_4_4 = n12
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1676), (1678) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1679) sum(n12, n12) = all_4_3
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (1510), (1677) imply:
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | (1680) sum(n8, n0) = all_4_0
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (135), (211), (1679), (1680) are
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | End of split
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | End of split
% 51.10/7.86 | | | | | | | |
% 51.10/7.86 | | | | | | | Case 2:
% 51.10/7.86 | | | | | | | |
% 51.10/7.86 | | | | | | | | (1681) all_4_11 = n11 | all_4_11 = n10 | all_4_11 = n9 |
% 51.10/7.86 | | | | | | | | all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 51.10/7.86 | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.10/7.86 | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.86 | | | | | | | |
% 51.10/7.86 | | | | | | | | BETA: splitting (1500) gives:
% 51.10/7.86 | | | | | | | |
% 51.10/7.86 | | | | | | | | Case 1:
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | (1682) all_4_10 = n12
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | REDUCE: (304), (1682) imply:
% 51.10/7.86 | | | | | | | | | (1683) pred(n12) = all_4_6
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | REDUCE: (286), (1682) imply:
% 51.10/7.86 | | | | | | | | | (1684) succ(n12) = all_4_8
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | GROUND_INST: instantiating (2) with n13, all_4_8, n12,
% 51.10/7.86 | | | | | | | | | simplifying with (281), (1684) gives:
% 51.10/7.86 | | | | | | | | | (1685) all_4_8 = n13
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | GROUND_INST: instantiating (3) with n11, all_4_6, n12,
% 51.10/7.86 | | | | | | | | | simplifying with (299), (1683) gives:
% 51.10/7.86 | | | | | | | | | (1686) all_4_6 = n11
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | REDUCE: (267), (1686) imply:
% 51.10/7.86 | | | | | | | | | (1687) sum(n11, all_4_5) = all_4_4
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | REDUCE: (266), (1685), (1686) imply:
% 51.10/7.86 | | | | | | | | | (1688) sum(n11, n13) = all_4_1
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | REDUCE: (263), (1685) imply:
% 51.10/7.86 | | | | | | | | | (1689) sum(all_4_9, n13) = all_4_7
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n13, n11,
% 51.10/7.86 | | | | | | | | | simplifying with (196), (1688) gives:
% 51.10/7.86 | | | | | | | | | (1690) all_4_1 = n8
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | REDUCE: (268), (1690) imply:
% 51.10/7.86 | | | | | | | | | (1691) sum(all_4_2, n8) = all_4_0
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | BETA: splitting (1681) gives:
% 51.10/7.86 | | | | | | | | |
% 51.10/7.86 | | | | | | | | | Case 1:
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | (1692) all_4_11 = n11
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | REDUCE: (303), (1692) imply:
% 51.10/7.86 | | | | | | | | | | (1693) pred(n11) = all_4_9
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | REDUCE: (285), (1692) imply:
% 51.10/7.86 | | | | | | | | | | (1694) succ(n11) = all_4_5
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11,
% 51.10/7.86 | | | | | | | | | | simplifying with (280), (1694) gives:
% 51.10/7.86 | | | | | | | | | | (1695) all_4_5 = n12
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11,
% 51.10/7.86 | | | | | | | | | | simplifying with (298), (1693) gives:
% 51.10/7.86 | | | | | | | | | | (1696) all_4_9 = n10
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | REDUCE: (264), (1695), (1696) imply:
% 51.10/7.86 | | | | | | | | | | (1697) sum(n10, n12) = all_4_2
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | REDUCE: (1689), (1696) imply:
% 51.10/7.86 | | | | | | | | | | (1698) sum(n10, n13) = all_4_7
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | REDUCE: (1687), (1695) imply:
% 51.10/7.86 | | | | | | | | | | (1699) sum(n11, n12) = all_4_4
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n12, n10,
% 51.10/7.86 | | | | | | | | | | simplifying with (179), (1697) gives:
% 51.10/7.86 | | | | | | | | | | (1700) all_4_2 = n6
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n13, n10,
% 51.10/7.86 | | | | | | | | | | simplifying with (180), (1698) gives:
% 51.10/7.86 | | | | | | | | | | (1701) all_4_7 = n7
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n12, n11,
% 51.10/7.86 | | | | | | | | | | simplifying with (195), (1699) gives:
% 51.10/7.86 | | | | | | | | | | (1702) all_4_4 = n7
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | REF_CLOSE: (4), (6), (111), (126), (265), (1691), (1700),
% 51.10/7.86 | | | | | | | | | | (1701), (1702) are inconsistent by sub-proof #40.
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | Case 2:
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | (1703) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 |
% 51.10/7.86 | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.10/7.86 | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.10/7.86 | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | BETA: splitting (1703) gives:
% 51.10/7.86 | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | Case 1:
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | (1704) all_4_11 = n10
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | REDUCE: (303), (1704) imply:
% 51.10/7.86 | | | | | | | | | | | (1705) pred(n10) = all_4_9
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | REDUCE: (285), (1704) imply:
% 51.10/7.86 | | | | | | | | | | | (1706) succ(n10) = all_4_5
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10,
% 51.10/7.86 | | | | | | | | | | | simplifying with (279), (1706) gives:
% 51.10/7.86 | | | | | | | | | | | (1707) all_4_5 = n11
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10,
% 51.10/7.86 | | | | | | | | | | | simplifying with (297), (1705) gives:
% 51.10/7.86 | | | | | | | | | | | (1708) all_4_9 = n9
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | REDUCE: (264), (1707), (1708) imply:
% 51.10/7.86 | | | | | | | | | | | (1709) sum(n9, n11) = all_4_2
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | REDUCE: (1689), (1708) imply:
% 51.10/7.86 | | | | | | | | | | | (1710) sum(n9, n13) = all_4_7
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | REDUCE: (1687), (1707) imply:
% 51.10/7.86 | | | | | | | | | | | (1711) sum(n11, n11) = all_4_4
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n11, n9,
% 51.10/7.86 | | | | | | | | | | | simplifying with (162), (1709) gives:
% 51.10/7.86 | | | | | | | | | | | (1712) all_4_2 = n4
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n13, n9,
% 51.10/7.86 | | | | | | | | | | | simplifying with (164), (1710) gives:
% 51.10/7.86 | | | | | | | | | | | (1713) all_4_7 = n6
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n11, n11,
% 51.10/7.86 | | | | | | | | | | | simplifying with (194), (1711) gives:
% 51.10/7.86 | | | | | | | | | | | (1714) all_4_4 = n6
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (109), (265), (1691), (1712),
% 51.10/7.86 | | | | | | | | | | | (1713), (1714) are inconsistent by sub-proof #39.
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | Case 2:
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | (1715) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 51.10/7.86 | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.10/7.86 | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.10/7.86 | | | | | | | | | | | all_4_11 = n0
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | BETA: splitting (1715) gives:
% 51.10/7.86 | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | Case 1:
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | (1716) all_4_11 = n9
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | REDUCE: (303), (1716) imply:
% 51.10/7.86 | | | | | | | | | | | | (1717) pred(n9) = all_4_9
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | REDUCE: (285), (1716) imply:
% 51.10/7.86 | | | | | | | | | | | | (1718) succ(n9) = all_4_5
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 51.10/7.86 | | | | | | | | | | | | simplifying with (278), (1718) gives:
% 51.10/7.86 | | | | | | | | | | | | (1719) all_4_5 = n10
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 51.10/7.86 | | | | | | | | | | | | simplifying with (296), (1717) gives:
% 51.10/7.86 | | | | | | | | | | | | (1720) all_4_9 = n8
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | REDUCE: (264), (1719), (1720) imply:
% 51.10/7.86 | | | | | | | | | | | | (1721) sum(n8, n10) = all_4_2
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | REDUCE: (1689), (1720) imply:
% 51.10/7.86 | | | | | | | | | | | | (1722) sum(n8, n13) = all_4_7
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | REDUCE: (1687), (1719) imply:
% 51.10/7.86 | | | | | | | | | | | | (1723) sum(n11, n10) = all_4_4
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 51.10/7.86 | | | | | | | | | | | | simplifying with (145), (1721) gives:
% 51.10/7.86 | | | | | | | | | | | | (1724) all_4_2 = n2
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n13, n8,
% 51.10/7.86 | | | | | | | | | | | | simplifying with (148), (1722) gives:
% 51.10/7.86 | | | | | | | | | | | | (1725) all_4_7 = n5
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n10, n11,
% 51.10/7.86 | | | | | | | | | | | | simplifying with (193), (1723) gives:
% 51.10/7.86 | | | | | | | | | | | | (1726) all_4_4 = n5
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | REF_CLOSE: (4), (6), (47), (92), (265), (1691), (1724),
% 51.10/7.86 | | | | | | | | | | | | (1725), (1726) are inconsistent by sub-proof #38.
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | Case 2:
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | (1727) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 51.10/7.86 | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.10/7.86 | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | BETA: splitting (1727) gives:
% 51.10/7.86 | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | Case 1:
% 51.10/7.86 | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | (1728) all_4_11 = n8
% 51.10/7.86 | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | REDUCE: (303), (1728) imply:
% 51.10/7.86 | | | | | | | | | | | | | (1729) pred(n8) = all_4_9
% 51.10/7.86 | | | | | | | | | | | | |
% 51.10/7.86 | | | | | | | | | | | | | REDUCE: (285), (1728) imply:
% 51.10/7.86 | | | | | | | | | | | | | (1730) succ(n8) = all_4_5
% 51.10/7.86 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 51.10/7.87 | | | | | | | | | | | | | simplifying with (277), (1730) gives:
% 51.10/7.87 | | | | | | | | | | | | | (1731) all_4_5 = n9
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 51.10/7.87 | | | | | | | | | | | | | simplifying with (295), (1729) gives:
% 51.10/7.87 | | | | | | | | | | | | | (1732) all_4_9 = n7
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | REDUCE: (264), (1731), (1732) imply:
% 51.10/7.87 | | | | | | | | | | | | | (1733) sum(n7, n9) = all_4_2
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | REDUCE: (1689), (1732) imply:
% 51.10/7.87 | | | | | | | | | | | | | (1734) sum(n7, n13) = all_4_7
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | REDUCE: (1687), (1731) imply:
% 51.10/7.87 | | | | | | | | | | | | | (1735) sum(n11, n9) = all_4_4
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 51.10/7.87 | | | | | | | | | | | | | simplifying with (128), (1733) gives:
% 51.10/7.87 | | | | | | | | | | | | | (1736) all_4_2 = n0
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n13, n7,
% 51.10/7.87 | | | | | | | | | | | | | simplifying with (132), (1734) gives:
% 51.10/7.87 | | | | | | | | | | | | | (1737) all_4_7 = n4
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n9, n11,
% 51.10/7.87 | | | | | | | | | | | | | simplifying with (192), (1735) gives:
% 51.10/7.87 | | | | | | | | | | | | | (1738) all_4_4 = n4
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (75), (265), (1691), (1736),
% 51.10/7.87 | | | | | | | | | | | | | (1737), (1738) are inconsistent by sub-proof #37.
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | Case 2:
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | (1739) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.10/7.87 | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.10/7.87 | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | BETA: splitting (1739) gives:
% 51.10/7.87 | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | Case 1:
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | (1740) all_4_11 = n7
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (303), (1740) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1741) pred(n7) = all_4_9
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (285), (1740) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1742) succ(n7) = all_4_5
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.10/7.87 | | | | | | | | | | | | | | simplifying with (276), (1742) gives:
% 51.10/7.87 | | | | | | | | | | | | | | (1743) all_4_5 = n8
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.10/7.87 | | | | | | | | | | | | | | simplifying with (294), (1741) gives:
% 51.10/7.87 | | | | | | | | | | | | | | (1744) all_4_9 = n6
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (264), (1743), (1744) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1745) sum(n6, n8) = all_4_2
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (1689), (1744) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1746) sum(n6, n13) = all_4_7
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (1687), (1743) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1747) sum(n11, n8) = all_4_4
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.10/7.87 | | | | | | | | | | | | | | simplifying with (111), (1745) gives:
% 51.10/7.87 | | | | | | | | | | | | | | (1748) all_4_2 = n14
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n13, n6,
% 51.10/7.87 | | | | | | | | | | | | | | simplifying with (116), (1746) gives:
% 51.10/7.87 | | | | | | | | | | | | | | (1749) all_4_7 = n3
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n8, n11,
% 51.10/7.87 | | | | | | | | | | | | | | simplifying with (191), (1747) gives:
% 51.10/7.87 | | | | | | | | | | | | | | (1750) all_4_4 = n3
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (1691), (1748) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1751) sum(n14, n8) = all_4_0
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REDUCE: (265), (1749), (1750) imply:
% 51.10/7.87 | | | | | | | | | | | | | | (1752) sum(n3, n3) = all_4_3
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (239), (1751), (1752) are
% 51.10/7.87 | | | | | | | | | | | | | | inconsistent by sub-proof #120.
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | Case 2:
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | (1753) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.10/7.87 | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.10/7.87 | | | | | | | | | | | | | | all_4_11 = n0
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | BETA: splitting (1753) gives:
% 51.10/7.87 | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | Case 1:
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | (1754) all_4_11 = n6
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (303), (1754) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1755) pred(n6) = all_4_9
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (285), (1754) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1756) succ(n6) = all_4_5
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.10/7.87 | | | | | | | | | | | | | | | simplifying with (275), (1756) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | (1757) all_4_5 = n7
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.10/7.87 | | | | | | | | | | | | | | | simplifying with (293), (1755) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | (1758) all_4_9 = n5
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (264), (1757), (1758) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1759) sum(n5, n7) = all_4_2
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (1689), (1758) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1760) sum(n5, n13) = all_4_7
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (1687), (1757) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1761) sum(n11, n7) = all_4_4
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.10/7.87 | | | | | | | | | | | | | | | simplifying with (94), (1759) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | (1762) all_4_2 = n12
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n13, n5,
% 51.10/7.87 | | | | | | | | | | | | | | | simplifying with (100), (1760) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | (1763) all_4_7 = n2
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n7, n11,
% 51.10/7.87 | | | | | | | | | | | | | | | simplifying with (190), (1761) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | (1764) all_4_4 = n2
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (1691), (1762) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1765) sum(n12, n8) = all_4_0
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REDUCE: (265), (1763), (1764) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | (1766) sum(n2, n2) = all_4_3
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (207), (1765), (1766) are
% 51.10/7.87 | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | Case 2:
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | (1767) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.10/7.87 | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 51.10/7.87 | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | Case 1:
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | (1768) all_4_11 = n5
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (303), (1768) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1769) pred(n5) = all_4_9
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (285), (1768) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1770) succ(n5) = all_4_5
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.10/7.87 | | | | | | | | | | | | | | | | simplifying with (274), (1770) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1771) all_4_5 = n6
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.10/7.87 | | | | | | | | | | | | | | | | simplifying with (292), (1769) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1772) all_4_9 = n4
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (264), (1771), (1772) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1773) sum(n4, n6) = all_4_2
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (1689), (1772) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1774) sum(n4, n13) = all_4_7
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (1687), (1771) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1775) sum(n11, n6) = all_4_4
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.10/7.87 | | | | | | | | | | | | | | | | simplifying with (77), (1773) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1776) all_4_2 = n10
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n13, n4,
% 51.10/7.87 | | | | | | | | | | | | | | | | simplifying with (84), (1774) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1777) all_4_7 = n1
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n6, n11,
% 51.10/7.87 | | | | | | | | | | | | | | | | simplifying with (189), (1775) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1778) all_4_4 = n1
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (1691), (1776) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1779) sum(n10, n8) = all_4_0
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REDUCE: (265), (1777), (1778) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | (1780) sum(n1, n1) = all_4_3
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (175), (1779), (1780) are
% 51.10/7.87 | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | Case 2:
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | (1781) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.10/7.87 | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | BETA: splitting (1781) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1782) all_4_11 = n4
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (303), (1782) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1783) pred(n4) = all_4_9
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (285), (1782) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1784) succ(n4) = all_4_5
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.10/7.87 | | | | | | | | | | | | | | | | | simplifying with (273), (1784) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1785) all_4_5 = n5
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.10/7.87 | | | | | | | | | | | | | | | | | simplifying with (291), (1783) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1786) all_4_9 = n3
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (264), (1785), (1786) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1787) sum(n3, n5) = all_4_2
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (1689), (1786) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1788) sum(n3, n13) = all_4_7
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (1687), (1785) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1789) sum(n11, n5) = all_4_4
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.10/7.87 | | | | | | | | | | | | | | | | | simplifying with (60), (1787) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1790) all_4_2 = n8
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n13, n3,
% 51.10/7.87 | | | | | | | | | | | | | | | | | simplifying with (68), (1788) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1791) all_4_7 = n0
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n5, n11,
% 51.10/7.87 | | | | | | | | | | | | | | | | | simplifying with (188), (1789) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1792) all_4_4 = n0
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (1691), (1790) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1793) sum(n8, n8) = all_4_0
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REDUCE: (265), (1791), (1792) imply:
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1794) sum(n0, n0) = all_4_3
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (143), (1793), (1794) are
% 51.10/7.87 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | (1795) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.10/7.87 | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | BETA: splitting (1795) gives:
% 51.10/7.87 | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.87 | | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | | (1796) all_4_11 = n3
% 51.10/7.87 | | | | | | | | | | | | | | | | | |
% 51.10/7.87 | | | | | | | | | | | | | | | | | | REDUCE: (303), (1796) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1797) pred(n3) = all_4_9
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REDUCE: (285), (1796) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1798) succ(n3) = all_4_5
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | simplifying with (272), (1798) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1799) all_4_5 = n4
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | simplifying with (290), (1797) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1800) all_4_9 = n2
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REDUCE: (264), (1799), (1800) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1801) sum(n2, n4) = all_4_2
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1800) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1802) sum(n2, n13) = all_4_7
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REDUCE: (1687), (1799) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1803) sum(n11, n4) = all_4_4
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | simplifying with (43), (1801) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1804) all_4_2 = n6
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n13, n2,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | simplifying with (52), (1802) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1805) all_4_7 = n15
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n4, n11,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | simplifying with (187), (1803) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1806) all_4_4 = n15
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REDUCE: (1691), (1804) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1807) sum(n6, n8) = all_4_0
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1805), (1806) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1808) sum(n15, n15) = all_4_3
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (111), (262), (1807), (1808) are
% 51.10/7.88 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36.
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | (1809) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | BETA: splitting (1809) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1810) all_4_11 = n2
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (1810) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1811) pred(n2) = all_4_9
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (1810) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1812) succ(n2) = all_4_5
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | simplifying with (271), (1812) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1813) all_4_5 = n3
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | simplifying with (289), (1811) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1814) all_4_9 = n1
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (1813), (1814) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1815) sum(n1, n3) = all_4_2
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1814) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1816) sum(n1, n13) = all_4_7
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (1687), (1813) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1817) sum(n11, n3) = all_4_4
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | simplifying with (26), (1815) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1818) all_4_2 = n4
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n13, n1,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | simplifying with (36), (1816) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1819) all_4_7 = n14
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n3, n11,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | simplifying with (186), (1817) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1820) all_4_4 = n14
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (1691), (1818) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1821) sum(n4, n8) = all_4_0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1819), (1820) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1822) sum(n14, n14) = all_4_3
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (245), (1821), (1822) are
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | (1823) all_4_11 = n1 | all_4_11 = n0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (1823) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1824) all_4_11 = n1
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (1824) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1825) pred(n1) = all_4_9
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (1824) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1826) succ(n1) = all_4_5
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (270), (1826) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1827) all_4_5 = n2
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (288), (1825) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1828) all_4_9 = n0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (1827), (1828) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1829) sum(n0, n2) = all_4_2
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1828) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1830) sum(n0, n13) = all_4_7
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1687), (1827) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1831) sum(n11, n2) = all_4_4
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (9), (1829) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1832) all_4_2 = n2
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n13, n0,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (20), (1830) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1833) all_4_7 = n13
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n2, n11,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (185), (1831) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1834) all_4_4 = n13
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1691), (1832) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1835) sum(n2, n8) = all_4_0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1833), (1834) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1836) sum(n13, n13) = all_4_3
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (47), (228), (1835), (1836) are
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1837) all_4_11 = n0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (1837) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1838) pred(n0) = all_4_9
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (1837) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1839) succ(n0) = all_4_5
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (269), (1839) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1840) all_4_5 = n1
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (287), (1838) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1841) all_4_9 = n15
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (1840), (1841) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1842) sum(n15, n1) = all_4_2
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1841) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1843) sum(n15, n13) = all_4_7
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1687), (1840) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1844) sum(n11, n1) = all_4_4
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n1, n11,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (184), (1844) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1845) all_4_4 = n12
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (248), (1842) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1846) all_4_2 = n0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n13, n15,
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | simplifying with (260), (1843) gives:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1847) all_4_7 = n12
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1691), (1846) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1848) sum(n0, n8) = all_4_0
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1845), (1847) imply:
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | (1849) sum(n12, n12) = all_4_3
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (211), (1848), (1849) are
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | End of split
% 51.10/7.88 | | | | | | | | |
% 51.10/7.88 | | | | | | | | Case 2:
% 51.10/7.88 | | | | | | | | |
% 51.10/7.88 | | | | | | | | | (1850) all_4_10 = n11 | all_4_10 = n10 | all_4_10 = n9 |
% 51.10/7.88 | | | | | | | | | all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.10/7.88 | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.88 | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.88 | | | | | | | | |
% 51.10/7.88 | | | | | | | | | BETA: splitting (1681) gives:
% 51.10/7.88 | | | | | | | | |
% 51.10/7.88 | | | | | | | | | Case 1:
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | (1851) all_4_11 = n11
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | REDUCE: (303), (1851) imply:
% 51.10/7.88 | | | | | | | | | | (1852) pred(n11) = all_4_9
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | REDUCE: (285), (1851) imply:
% 51.10/7.88 | | | | | | | | | | (1853) succ(n11) = all_4_5
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_5, n11,
% 51.10/7.88 | | | | | | | | | | simplifying with (280), (1853) gives:
% 51.10/7.88 | | | | | | | | | | (1854) all_4_5 = n12
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_9, n11,
% 51.10/7.88 | | | | | | | | | | simplifying with (298), (1852) gives:
% 51.10/7.88 | | | | | | | | | | (1855) all_4_9 = n10
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | REDUCE: (267), (1854) imply:
% 51.10/7.88 | | | | | | | | | | (1856) sum(all_4_6, n12) = all_4_4
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | REDUCE: (264), (1854), (1855) imply:
% 51.10/7.88 | | | | | | | | | | (1857) sum(n10, n12) = all_4_2
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | REDUCE: (263), (1855) imply:
% 51.10/7.88 | | | | | | | | | | (1858) sum(n10, all_4_8) = all_4_7
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n12, n10,
% 51.10/7.88 | | | | | | | | | | simplifying with (179), (1857) gives:
% 51.10/7.88 | | | | | | | | | | (1859) all_4_2 = n6
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | REDUCE: (268), (1859) imply:
% 51.10/7.88 | | | | | | | | | | (1860) sum(n6, all_4_1) = all_4_0
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | BETA: splitting (1850) gives:
% 51.10/7.88 | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | Case 1:
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | (1861) all_4_10 = n11
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | REDUCE: (304), (1861) imply:
% 51.10/7.88 | | | | | | | | | | | (1862) pred(n11) = all_4_6
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | REDUCE: (286), (1861) imply:
% 51.10/7.88 | | | | | | | | | | | (1863) succ(n11) = all_4_8
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11,
% 51.10/7.88 | | | | | | | | | | | simplifying with (280), (1863) gives:
% 51.10/7.88 | | | | | | | | | | | (1864) all_4_8 = n12
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11,
% 51.10/7.88 | | | | | | | | | | | simplifying with (298), (1862) gives:
% 51.10/7.88 | | | | | | | | | | | (1865) all_4_6 = n10
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | REDUCE: (266), (1864), (1865) imply:
% 51.10/7.88 | | | | | | | | | | | (1866) sum(n10, n12) = all_4_1
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | REDUCE: (1856), (1865) imply:
% 51.10/7.88 | | | | | | | | | | | (1867) sum(n10, n12) = all_4_4
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | REDUCE: (1858), (1864) imply:
% 51.10/7.88 | | | | | | | | | | | (1868) sum(n10, n12) = all_4_7
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n12, n10,
% 51.10/7.88 | | | | | | | | | | | simplifying with (179), (1867) gives:
% 51.10/7.88 | | | | | | | | | | | (1869) all_4_4 = n6
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n12, n10,
% 51.10/7.88 | | | | | | | | | | | simplifying with (1866), (1867) gives:
% 51.10/7.88 | | | | | | | | | | | (1870) all_4_1 = all_4_4
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.88 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n12, n10,
% 51.10/7.88 | | | | | | | | | | | simplifying with (1866), (1868) gives:
% 51.10/7.88 | | | | | | | | | | | (1871) all_4_1 = all_4_7
% 51.10/7.88 | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (265), (1860), (1869), (1870),
% 51.10/7.89 | | | | | | | | | | | (1871) are inconsistent by sub-proof #32.
% 51.10/7.89 | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | Case 2:
% 51.10/7.89 | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | (1872) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 51.10/7.89 | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.10/7.89 | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.10/7.89 | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.89 | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | BETA: splitting (1872) gives:
% 51.10/7.89 | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | Case 1:
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | (1873) all_4_10 = n10
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | REDUCE: (304), (1873) imply:
% 51.10/7.89 | | | | | | | | | | | | (1874) pred(n10) = all_4_6
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | REDUCE: (286), (1873) imply:
% 51.10/7.89 | | | | | | | | | | | | (1875) succ(n10) = all_4_8
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 51.10/7.89 | | | | | | | | | | | | simplifying with (279), (1875) gives:
% 51.10/7.89 | | | | | | | | | | | | (1876) all_4_8 = n11
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 51.10/7.89 | | | | | | | | | | | | simplifying with (297), (1874) gives:
% 51.10/7.89 | | | | | | | | | | | | (1877) all_4_6 = n9
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | REDUCE: (266), (1876), (1877) imply:
% 51.10/7.89 | | | | | | | | | | | | (1878) sum(n9, n11) = all_4_1
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | REDUCE: (1856), (1877) imply:
% 51.10/7.89 | | | | | | | | | | | | (1879) sum(n9, n12) = all_4_4
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | REDUCE: (1858), (1876) imply:
% 51.10/7.89 | | | | | | | | | | | | (1880) sum(n10, n11) = all_4_7
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n11, n9,
% 51.10/7.89 | | | | | | | | | | | | simplifying with (162), (1878) gives:
% 51.10/7.89 | | | | | | | | | | | | (1881) all_4_1 = n4
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n12, n9,
% 51.10/7.89 | | | | | | | | | | | | simplifying with (163), (1879) gives:
% 51.10/7.89 | | | | | | | | | | | | (1882) all_4_4 = n5
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n11, n10,
% 51.10/7.89 | | | | | | | | | | | | simplifying with (178), (1880) gives:
% 51.10/7.89 | | | | | | | | | | | | (1883) all_4_7 = n5
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (107), (265), (1860), (1881),
% 51.10/7.89 | | | | | | | | | | | | (1882), (1883) are inconsistent by sub-proof #31.
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | Case 2:
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | (1884) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 51.10/7.89 | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.10/7.89 | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.10/7.89 | | | | | | | | | | | | all_4_10 = n0
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | BETA: splitting (1884) gives:
% 51.10/7.89 | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | Case 1:
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | (1885) all_4_10 = n9
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | REDUCE: (304), (1885) imply:
% 51.10/7.89 | | | | | | | | | | | | | (1886) pred(n9) = all_4_6
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | REDUCE: (286), (1885) imply:
% 51.10/7.89 | | | | | | | | | | | | | (1887) succ(n9) = all_4_8
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 51.10/7.89 | | | | | | | | | | | | | simplifying with (278), (1887) gives:
% 51.10/7.89 | | | | | | | | | | | | | (1888) all_4_8 = n10
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 51.10/7.89 | | | | | | | | | | | | | simplifying with (296), (1886) gives:
% 51.10/7.89 | | | | | | | | | | | | | (1889) all_4_6 = n8
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | REDUCE: (266), (1888), (1889) imply:
% 51.10/7.89 | | | | | | | | | | | | | (1890) sum(n8, n10) = all_4_1
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | REDUCE: (1856), (1889) imply:
% 51.10/7.89 | | | | | | | | | | | | | (1891) sum(n8, n12) = all_4_4
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | REDUCE: (1858), (1888) imply:
% 51.10/7.89 | | | | | | | | | | | | | (1892) sum(n10, n10) = all_4_7
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 51.10/7.89 | | | | | | | | | | | | | simplifying with (145), (1890) gives:
% 51.10/7.89 | | | | | | | | | | | | | (1893) all_4_1 = n2
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n12, n8,
% 51.10/7.89 | | | | | | | | | | | | | simplifying with (147), (1891) gives:
% 51.10/7.89 | | | | | | | | | | | | | (1894) all_4_4 = n4
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n10, n10,
% 51.10/7.89 | | | | | | | | | | | | | simplifying with (177), (1892) gives:
% 51.10/7.89 | | | | | | | | | | | | | (1895) all_4_7 = n4
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (105), (265), (1860), (1893),
% 51.10/7.89 | | | | | | | | | | | | | (1894), (1895) are inconsistent by sub-proof #30.
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | Case 2:
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | (1896) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.10/7.89 | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.89 | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | BETA: splitting (1896) gives:
% 51.10/7.89 | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | Case 1:
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | (1897) all_4_10 = n8
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | REDUCE: (304), (1897) imply:
% 51.10/7.89 | | | | | | | | | | | | | | (1898) pred(n8) = all_4_6
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | REDUCE: (286), (1897) imply:
% 51.10/7.89 | | | | | | | | | | | | | | (1899) succ(n8) = all_4_8
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 51.10/7.89 | | | | | | | | | | | | | | simplifying with (277), (1899) gives:
% 51.10/7.89 | | | | | | | | | | | | | | (1900) all_4_8 = n9
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 51.10/7.89 | | | | | | | | | | | | | | simplifying with (295), (1898) gives:
% 51.10/7.89 | | | | | | | | | | | | | | (1901) all_4_6 = n7
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | REDUCE: (266), (1900), (1901) imply:
% 51.10/7.89 | | | | | | | | | | | | | | (1902) sum(n7, n9) = all_4_1
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | REDUCE: (1856), (1901) imply:
% 51.10/7.89 | | | | | | | | | | | | | | (1903) sum(n7, n12) = all_4_4
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | REDUCE: (1858), (1900) imply:
% 51.10/7.89 | | | | | | | | | | | | | | (1904) sum(n10, n9) = all_4_7
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 51.10/7.89 | | | | | | | | | | | | | | simplifying with (128), (1902) gives:
% 51.10/7.89 | | | | | | | | | | | | | | (1905) all_4_1 = n0
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n12, n7,
% 51.10/7.89 | | | | | | | | | | | | | | simplifying with (131), (1903) gives:
% 51.10/7.89 | | | | | | | | | | | | | | (1906) all_4_4 = n3
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n9, n10,
% 51.10/7.89 | | | | | | | | | | | | | | simplifying with (176), (1904) gives:
% 51.10/7.89 | | | | | | | | | | | | | | (1907) all_4_7 = n3
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (103), (265), (1860), (1905),
% 51.10/7.89 | | | | | | | | | | | | | | (1906), (1907) are inconsistent by sub-proof #29.
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | Case 2:
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | (1908) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.10/7.89 | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.10/7.89 | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | BETA: splitting (1908) gives:
% 51.10/7.89 | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | Case 1:
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | (1909) all_4_10 = n7
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (304), (1909) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1910) pred(n7) = all_4_6
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (286), (1909) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1911) succ(n7) = all_4_8
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.10/7.89 | | | | | | | | | | | | | | | simplifying with (276), (1911) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | (1912) all_4_8 = n8
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.10/7.89 | | | | | | | | | | | | | | | simplifying with (294), (1910) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | (1913) all_4_6 = n6
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (266), (1912), (1913) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1914) sum(n6, n8) = all_4_1
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (1856), (1913) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1915) sum(n6, n12) = all_4_4
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (1858), (1912) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1916) sum(n10, n8) = all_4_7
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 51.10/7.89 | | | | | | | | | | | | | | | simplifying with (111), (1914) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | (1917) all_4_1 = n14
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n12, n6,
% 51.10/7.89 | | | | | | | | | | | | | | | simplifying with (115), (1915) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | (1918) all_4_4 = n2
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n8, n10,
% 51.10/7.89 | | | | | | | | | | | | | | | simplifying with (175), (1916) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | (1919) all_4_7 = n2
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (265), (1918), (1919) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1920) sum(n2, n2) = all_4_3
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REDUCE: (1860), (1917) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | (1921) sum(n6, n14) = all_4_0
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (117), (1920), (1921) are
% 51.10/7.89 | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | Case 2:
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | (1922) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.10/7.89 | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.10/7.89 | | | | | | | | | | | | | | | all_4_10 = n0
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | BETA: splitting (1922) gives:
% 51.10/7.89 | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | Case 1:
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | (1923) all_4_10 = n6
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (304), (1923) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1924) pred(n6) = all_4_6
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (286), (1923) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1925) succ(n6) = all_4_8
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.10/7.89 | | | | | | | | | | | | | | | | simplifying with (275), (1925) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1926) all_4_8 = n7
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.10/7.89 | | | | | | | | | | | | | | | | simplifying with (293), (1924) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1927) all_4_6 = n5
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (266), (1926), (1927) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1928) sum(n5, n7) = all_4_1
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (1856), (1927) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1929) sum(n5, n12) = all_4_4
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (1858), (1926) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1930) sum(n10, n7) = all_4_7
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 51.10/7.89 | | | | | | | | | | | | | | | | simplifying with (94), (1928) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1931) all_4_1 = n12
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n12, n5,
% 51.10/7.89 | | | | | | | | | | | | | | | | simplifying with (99), (1929) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1932) all_4_4 = n1
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n7, n10,
% 51.10/7.89 | | | | | | | | | | | | | | | | simplifying with (174), (1930) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1933) all_4_7 = n1
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (265), (1932), (1933) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1934) sum(n1, n1) = all_4_3
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REDUCE: (1860), (1931) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | (1935) sum(n6, n12) = all_4_0
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (115), (1934), (1935) are
% 51.10/7.89 | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | Case 2:
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | (1936) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.10/7.89 | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 51.10/7.89 | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.89 | | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | | (1937) all_4_10 = n5
% 51.10/7.89 | | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | | REDUCE: (304), (1937) imply:
% 51.10/7.89 | | | | | | | | | | | | | | | | | (1938) pred(n5) = all_4_6
% 51.10/7.89 | | | | | | | | | | | | | | | | |
% 51.10/7.89 | | | | | | | | | | | | | | | | | REDUCE: (286), (1937) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1939) succ(n5) = all_4_8
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.10/7.90 | | | | | | | | | | | | | | | | | simplifying with (274), (1939) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1940) all_4_8 = n6
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.10/7.90 | | | | | | | | | | | | | | | | | simplifying with (292), (1938) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1941) all_4_6 = n4
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | REDUCE: (266), (1940), (1941) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1942) sum(n4, n6) = all_4_1
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | REDUCE: (1856), (1941) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1943) sum(n4, n12) = all_4_4
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | REDUCE: (1858), (1940) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1944) sum(n10, n6) = all_4_7
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.10/7.90 | | | | | | | | | | | | | | | | | simplifying with (77), (1942) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1945) all_4_1 = n10
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n12, n4,
% 51.10/7.90 | | | | | | | | | | | | | | | | | simplifying with (83), (1943) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1946) all_4_4 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n6, n10,
% 51.10/7.90 | | | | | | | | | | | | | | | | | simplifying with (173), (1944) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1947) all_4_7 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | REDUCE: (265), (1946), (1947) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1948) sum(n0, n0) = all_4_3
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | REDUCE: (1860), (1945) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1949) sum(n6, n10) = all_4_0
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (113), (1948), (1949) are
% 51.10/7.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | (1950) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.10/7.90 | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1951) all_4_10 = n4
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (304), (1951) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1952) pred(n4) = all_4_6
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (286), (1951) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1953) succ(n4) = all_4_8
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | simplifying with (273), (1953) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1954) all_4_8 = n5
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | simplifying with (291), (1952) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1955) all_4_6 = n3
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (266), (1954), (1955) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1956) sum(n3, n5) = all_4_1
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (1856), (1955) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1957) sum(n3, n12) = all_4_4
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (1858), (1954) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1958) sum(n10, n5) = all_4_7
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | simplifying with (60), (1956) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1959) all_4_1 = n8
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n12, n3,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | simplifying with (67), (1957) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1960) all_4_4 = n15
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n5, n10,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | simplifying with (172), (1958) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1961) all_4_7 = n15
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (265), (1960), (1961) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1962) sum(n15, n15) = all_4_3
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REDUCE: (1860), (1959) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1963) sum(n6, n8) = all_4_0
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (111), (262), (1962), (1963) are
% 51.10/7.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36.
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | (1964) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | BETA: splitting (1964) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1965) all_4_10 = n3
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1965) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1966) pred(n3) = all_4_6
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1965) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1967) succ(n3) = all_4_8
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | simplifying with (272), (1967) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1968) all_4_8 = n4
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | simplifying with (290), (1966) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1969) all_4_6 = n2
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1968), (1969) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1970) sum(n2, n4) = all_4_1
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (1969) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1971) sum(n2, n12) = all_4_4
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (1858), (1968) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1972) sum(n10, n4) = all_4_7
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | simplifying with (43), (1970) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1973) all_4_1 = n6
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n12, n2,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | simplifying with (51), (1971) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1974) all_4_4 = n14
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n4, n10,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | simplifying with (171), (1972) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1975) all_4_7 = n14
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1974), (1975) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1976) sum(n14, n14) = all_4_3
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REDUCE: (1860), (1973) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1977) sum(n6, n6) = all_4_0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (245), (1976), (1977) are
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | (1978) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1979) all_4_10 = n2
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1979) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1980) pred(n2) = all_4_6
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1979) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1981) succ(n2) = all_4_8
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | simplifying with (271), (1981) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1982) all_4_8 = n3
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | simplifying with (289), (1980) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1983) all_4_6 = n1
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1982), (1983) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1984) sum(n1, n3) = all_4_1
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (1983) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1985) sum(n1, n12) = all_4_4
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (1858), (1982) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1986) sum(n10, n3) = all_4_7
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | simplifying with (26), (1984) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1987) all_4_1 = n4
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n12, n1,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | simplifying with (35), (1985) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1988) all_4_4 = n13
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n3, n10,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | simplifying with (170), (1986) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1989) all_4_7 = n13
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (1988), (1989) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1990) sum(n13, n13) = all_4_3
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (1860), (1987) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1991) sum(n6, n4) = all_4_0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (107), (228), (1990), (1991) are
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | (1992) all_4_10 = n1 | all_4_10 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1992) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1993) all_4_10 = n1
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (1993) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1994) pred(n1) = all_4_6
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (1993) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1995) succ(n1) = all_4_8
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (1995) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1996) all_4_8 = n2
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (1994) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1997) all_4_6 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (1996), (1997) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1998) sum(n0, n2) = all_4_1
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (1997) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (1999) sum(n0, n12) = all_4_4
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1858), (1996) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2000) sum(n10, n2) = all_4_7
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (1998) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2001) all_4_1 = n2
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n12, n0,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (1999) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2002) all_4_4 = n12
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n2, n10,
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (169), (2000) gives:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2003) all_4_7 = n12
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2002), (2003) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2004) sum(n12, n12) = all_4_3
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1860), (2001) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2005) sum(n6, n2) = all_4_0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (105), (211), (2004), (2005) are
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2006) all_4_10 = n0
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2006) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2007) pred(n0) = all_4_6
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2006) imply:
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | | (2008) succ(n0) = all_4_8
% 51.10/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2008) gives:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2009) all_4_8 = n1
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2007) gives:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2010) all_4_6 = n15
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2009), (2010) imply:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2011) sum(n15, n1) = all_4_1
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (2010) imply:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2012) sum(n15, n12) = all_4_4
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1858), (2009) imply:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2013) sum(n10, n1) = all_4_7
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n1, n10,
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (168), (2013) gives:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2014) all_4_7 = n11
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2011) gives:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2015) all_4_1 = n0
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n12, n15,
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | simplifying with (259), (2012) gives:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2016) all_4_4 = n11
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2014), (2016) imply:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2017) sum(n11, n11) = all_4_3
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1860), (2015) imply:
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | (2018) sum(n6, n0) = all_4_0
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (103), (194), (2017), (2018) are
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.90 | | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | End of split
% 51.58/7.91 | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | Case 2:
% 51.58/7.91 | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | (2019) all_4_11 = n10 | all_4_11 = n9 | all_4_11 = n8 |
% 51.58/7.91 | | | | | | | | | | all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.58/7.91 | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.58/7.91 | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.91 | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | BETA: splitting (1850) gives:
% 51.58/7.91 | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | Case 1:
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | (2020) all_4_10 = n11
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | REDUCE: (304), (2020) imply:
% 51.58/7.91 | | | | | | | | | | | (2021) pred(n11) = all_4_6
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | REDUCE: (286), (2020) imply:
% 51.58/7.91 | | | | | | | | | | | (2022) succ(n11) = all_4_8
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | GROUND_INST: instantiating (2) with n12, all_4_8, n11,
% 51.58/7.91 | | | | | | | | | | | simplifying with (280), (2022) gives:
% 51.58/7.91 | | | | | | | | | | | (2023) all_4_8 = n12
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | GROUND_INST: instantiating (3) with n10, all_4_6, n11,
% 51.58/7.91 | | | | | | | | | | | simplifying with (298), (2021) gives:
% 51.58/7.91 | | | | | | | | | | | (2024) all_4_6 = n10
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | REDUCE: (267), (2024) imply:
% 51.58/7.91 | | | | | | | | | | | (2025) sum(n10, all_4_5) = all_4_4
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | REDUCE: (266), (2023), (2024) imply:
% 51.58/7.91 | | | | | | | | | | | (2026) sum(n10, n12) = all_4_1
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | REDUCE: (263), (2023) imply:
% 51.58/7.91 | | | | | | | | | | | (2027) sum(all_4_9, n12) = all_4_7
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n12, n10,
% 51.58/7.91 | | | | | | | | | | | simplifying with (179), (2026) gives:
% 51.58/7.91 | | | | | | | | | | | (2028) all_4_1 = n6
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | REDUCE: (268), (2028) imply:
% 51.58/7.91 | | | | | | | | | | | (2029) sum(all_4_2, n6) = all_4_0
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | BETA: splitting (2019) gives:
% 51.58/7.91 | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | Case 1:
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | (2030) all_4_11 = n10
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | REDUCE: (303), (2030) imply:
% 51.58/7.91 | | | | | | | | | | | | (2031) pred(n10) = all_4_9
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | REDUCE: (285), (2030) imply:
% 51.58/7.91 | | | | | | | | | | | | (2032) succ(n10) = all_4_5
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10,
% 51.58/7.91 | | | | | | | | | | | | simplifying with (279), (2032) gives:
% 51.58/7.91 | | | | | | | | | | | | (2033) all_4_5 = n11
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10,
% 51.58/7.91 | | | | | | | | | | | | simplifying with (297), (2031) gives:
% 51.58/7.91 | | | | | | | | | | | | (2034) all_4_9 = n9
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | REDUCE: (264), (2033), (2034) imply:
% 51.58/7.91 | | | | | | | | | | | | (2035) sum(n9, n11) = all_4_2
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | REDUCE: (2027), (2034) imply:
% 51.58/7.91 | | | | | | | | | | | | (2036) sum(n9, n12) = all_4_7
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | REDUCE: (2025), (2033) imply:
% 51.58/7.91 | | | | | | | | | | | | (2037) sum(n10, n11) = all_4_4
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n11, n9,
% 51.58/7.91 | | | | | | | | | | | | simplifying with (162), (2035) gives:
% 51.58/7.91 | | | | | | | | | | | | (2038) all_4_2 = n4
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n12, n9,
% 51.58/7.91 | | | | | | | | | | | | simplifying with (163), (2036) gives:
% 51.58/7.91 | | | | | | | | | | | | (2039) all_4_7 = n5
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n11, n10,
% 51.58/7.91 | | | | | | | | | | | | simplifying with (178), (2037) gives:
% 51.58/7.91 | | | | | | | | | | | | (2040) all_4_4 = n5
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (92), (265), (2029), (2038),
% 51.58/7.91 | | | | | | | | | | | | (2039), (2040) are inconsistent by sub-proof #24.
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | Case 2:
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | (2041) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 51.58/7.91 | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.58/7.91 | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.58/7.91 | | | | | | | | | | | | all_4_11 = n0
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | BETA: splitting (2041) gives:
% 51.58/7.91 | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | Case 1:
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | (2042) all_4_11 = n9
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | REDUCE: (303), (2042) imply:
% 51.58/7.91 | | | | | | | | | | | | | (2043) pred(n9) = all_4_9
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | REDUCE: (285), (2042) imply:
% 51.58/7.91 | | | | | | | | | | | | | (2044) succ(n9) = all_4_5
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 51.58/7.91 | | | | | | | | | | | | | simplifying with (278), (2044) gives:
% 51.58/7.91 | | | | | | | | | | | | | (2045) all_4_5 = n10
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 51.58/7.91 | | | | | | | | | | | | | simplifying with (296), (2043) gives:
% 51.58/7.91 | | | | | | | | | | | | | (2046) all_4_9 = n8
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | REDUCE: (264), (2045), (2046) imply:
% 51.58/7.91 | | | | | | | | | | | | | (2047) sum(n8, n10) = all_4_2
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | REDUCE: (2027), (2046) imply:
% 51.58/7.91 | | | | | | | | | | | | | (2048) sum(n8, n12) = all_4_7
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | REDUCE: (2025), (2045) imply:
% 51.58/7.91 | | | | | | | | | | | | | (2049) sum(n10, n10) = all_4_4
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 51.58/7.91 | | | | | | | | | | | | | simplifying with (145), (2047) gives:
% 51.58/7.91 | | | | | | | | | | | | | (2050) all_4_2 = n2
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n12, n8,
% 51.58/7.91 | | | | | | | | | | | | | simplifying with (147), (2048) gives:
% 51.58/7.91 | | | | | | | | | | | | | (2051) all_4_7 = n4
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n10, n10,
% 51.58/7.91 | | | | | | | | | | | | | simplifying with (177), (2049) gives:
% 51.58/7.91 | | | | | | | | | | | | | (2052) all_4_4 = n4
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (45), (75), (265), (2029), (2050),
% 51.58/7.91 | | | | | | | | | | | | | (2051), (2052) are inconsistent by sub-proof #23.
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | Case 2:
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | (2053) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 51.58/7.91 | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.58/7.91 | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 51.58/7.91 | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | Case 1:
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | (2054) all_4_11 = n8
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | REDUCE: (303), (2054) imply:
% 51.58/7.91 | | | | | | | | | | | | | | (2055) pred(n8) = all_4_9
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | REDUCE: (285), (2054) imply:
% 51.58/7.91 | | | | | | | | | | | | | | (2056) succ(n8) = all_4_5
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 51.58/7.91 | | | | | | | | | | | | | | simplifying with (277), (2056) gives:
% 51.58/7.91 | | | | | | | | | | | | | | (2057) all_4_5 = n9
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 51.58/7.91 | | | | | | | | | | | | | | simplifying with (295), (2055) gives:
% 51.58/7.91 | | | | | | | | | | | | | | (2058) all_4_9 = n7
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | REDUCE: (264), (2057), (2058) imply:
% 51.58/7.91 | | | | | | | | | | | | | | (2059) sum(n7, n9) = all_4_2
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | REDUCE: (2027), (2058) imply:
% 51.58/7.91 | | | | | | | | | | | | | | (2060) sum(n7, n12) = all_4_7
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | REDUCE: (2025), (2057) imply:
% 51.58/7.91 | | | | | | | | | | | | | | (2061) sum(n10, n9) = all_4_4
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 51.58/7.91 | | | | | | | | | | | | | | simplifying with (128), (2059) gives:
% 51.58/7.91 | | | | | | | | | | | | | | (2062) all_4_2 = n0
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n12, n7,
% 51.58/7.91 | | | | | | | | | | | | | | simplifying with (131), (2060) gives:
% 51.58/7.91 | | | | | | | | | | | | | | (2063) all_4_7 = n3
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n9, n10,
% 51.58/7.91 | | | | | | | | | | | | | | simplifying with (176), (2061) gives:
% 51.58/7.91 | | | | | | | | | | | | | | (2064) all_4_4 = n3
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (58), (265), (2029), (2062),
% 51.58/7.91 | | | | | | | | | | | | | | (2063), (2064) are inconsistent by sub-proof #22.
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | Case 2:
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | (2065) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.58/7.91 | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.58/7.91 | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 51.58/7.91 | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | Case 1:
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | (2066) all_4_11 = n7
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (303), (2066) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2067) pred(n7) = all_4_9
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (285), (2066) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2068) succ(n7) = all_4_5
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.58/7.91 | | | | | | | | | | | | | | | simplifying with (276), (2068) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | (2069) all_4_5 = n8
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.58/7.91 | | | | | | | | | | | | | | | simplifying with (294), (2067) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | (2070) all_4_9 = n6
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (264), (2069), (2070) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2071) sum(n6, n8) = all_4_2
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (2027), (2070) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2072) sum(n6, n12) = all_4_7
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (2025), (2069) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2073) sum(n10, n8) = all_4_4
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.58/7.91 | | | | | | | | | | | | | | | simplifying with (111), (2071) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | (2074) all_4_2 = n14
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n12, n6,
% 51.58/7.91 | | | | | | | | | | | | | | | simplifying with (115), (2072) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | (2075) all_4_7 = n2
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n8, n10,
% 51.58/7.91 | | | | | | | | | | | | | | | simplifying with (175), (2073) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | (2076) all_4_4 = n2
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (2029), (2074) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2077) sum(n14, n6) = all_4_0
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REDUCE: (265), (2075), (2076) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | (2078) sum(n2, n2) = all_4_3
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (237), (2077), (2078) are
% 51.58/7.91 | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | Case 2:
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | (2079) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.58/7.91 | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.58/7.91 | | | | | | | | | | | | | | | all_4_11 = n0
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | BETA: splitting (2079) gives:
% 51.58/7.91 | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | Case 1:
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | (2080) all_4_11 = n6
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | REDUCE: (303), (2080) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2081) pred(n6) = all_4_9
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | REDUCE: (285), (2080) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2082) succ(n6) = all_4_5
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.58/7.91 | | | | | | | | | | | | | | | | simplifying with (275), (2082) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2083) all_4_5 = n7
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.58/7.91 | | | | | | | | | | | | | | | | simplifying with (293), (2081) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2084) all_4_9 = n5
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | REDUCE: (264), (2083), (2084) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2085) sum(n5, n7) = all_4_2
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | REDUCE: (2027), (2084) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2086) sum(n5, n12) = all_4_7
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | REDUCE: (2025), (2083) imply:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2087) sum(n10, n7) = all_4_4
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.58/7.91 | | | | | | | | | | | | | | | | simplifying with (94), (2085) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2088) all_4_2 = n12
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n12, n5,
% 51.58/7.91 | | | | | | | | | | | | | | | | simplifying with (99), (2086) gives:
% 51.58/7.91 | | | | | | | | | | | | | | | | (2089) all_4_7 = n1
% 51.58/7.91 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n7, n10,
% 51.58/7.92 | | | | | | | | | | | | | | | | simplifying with (174), (2087) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | (2090) all_4_4 = n1
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | REDUCE: (2029), (2088) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | (2091) sum(n12, n6) = all_4_0
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | REDUCE: (265), (2089), (2090) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | (2092) sum(n1, n1) = all_4_3
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (205), (2091), (2092) are
% 51.58/7.92 | | | | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | Case 2:
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | (2093) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.58/7.92 | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | BETA: splitting (2093) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2094) all_4_11 = n5
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (303), (2094) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2095) pred(n5) = all_4_9
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (285), (2094) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2096) succ(n5) = all_4_5
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.58/7.92 | | | | | | | | | | | | | | | | | simplifying with (274), (2096) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2097) all_4_5 = n6
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.58/7.92 | | | | | | | | | | | | | | | | | simplifying with (292), (2095) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2098) all_4_9 = n4
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (264), (2097), (2098) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2099) sum(n4, n6) = all_4_2
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (2027), (2098) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2100) sum(n4, n12) = all_4_7
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (2025), (2097) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2101) sum(n10, n6) = all_4_4
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.58/7.92 | | | | | | | | | | | | | | | | | simplifying with (77), (2099) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2102) all_4_2 = n10
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n12, n4,
% 51.58/7.92 | | | | | | | | | | | | | | | | | simplifying with (83), (2100) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2103) all_4_7 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n6, n10,
% 51.58/7.92 | | | | | | | | | | | | | | | | | simplifying with (173), (2101) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2104) all_4_4 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (2029), (2102) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2105) sum(n10, n6) = all_4_0
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REDUCE: (265), (2103), (2104) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2106) sum(n0, n0) = all_4_3
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (173), (2105), (2106) are
% 51.58/7.92 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | (2107) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.58/7.92 | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2108) all_4_11 = n4
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (303), (2108) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2109) pred(n4) = all_4_9
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (285), (2108) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2110) succ(n4) = all_4_5
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | simplifying with (273), (2110) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2111) all_4_5 = n5
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | simplifying with (291), (2109) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2112) all_4_9 = n3
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (264), (2111), (2112) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2113) sum(n3, n5) = all_4_2
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2112) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2114) sum(n3, n12) = all_4_7
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2111) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2115) sum(n10, n5) = all_4_4
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | simplifying with (60), (2113) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2116) all_4_2 = n8
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n12, n3,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | simplifying with (67), (2114) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2117) all_4_7 = n15
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n5, n10,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | simplifying with (172), (2115) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2118) all_4_4 = n15
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2116) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2119) sum(n8, n6) = all_4_0
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2117), (2118) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2120) sum(n15, n15) = all_4_3
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (141), (262), (2119), (2120) are
% 51.58/7.92 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | (2121) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | BETA: splitting (2121) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2122) all_4_11 = n3
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2122) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2123) pred(n3) = all_4_9
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2122) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2124) succ(n3) = all_4_5
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | simplifying with (272), (2124) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2125) all_4_5 = n4
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | simplifying with (290), (2123) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2126) all_4_9 = n2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2125), (2126) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2127) sum(n2, n4) = all_4_2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2126) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2128) sum(n2, n12) = all_4_7
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2125) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2129) sum(n10, n4) = all_4_4
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | simplifying with (43), (2127) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2130) all_4_2 = n6
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n12, n2,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | simplifying with (51), (2128) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2131) all_4_7 = n14
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n4, n10,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | simplifying with (171), (2129) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2132) all_4_4 = n14
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2130) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2133) sum(n6, n6) = all_4_0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2131), (2132) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2134) sum(n14, n14) = all_4_3
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (245), (2133), (2134) are
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | (2135) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (2135) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2136) all_4_11 = n2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2136) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2137) pred(n2) = all_4_9
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2136) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2138) succ(n2) = all_4_5
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2138) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2139) all_4_5 = n3
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2137) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2140) all_4_9 = n1
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2139), (2140) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2141) sum(n1, n3) = all_4_2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2140) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2142) sum(n1, n12) = all_4_7
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2139) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2143) sum(n10, n3) = all_4_4
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2141) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2144) all_4_2 = n4
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n12, n1,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | simplifying with (35), (2142) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2145) all_4_7 = n13
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n3, n10,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | simplifying with (170), (2143) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2146) all_4_4 = n13
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2144) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2147) sum(n4, n6) = all_4_0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2145), (2146) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2148) sum(n13, n13) = all_4_3
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (228), (2147), (2148) are
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | (2149) all_4_11 = n1 | all_4_11 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2149) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2150) all_4_11 = n1
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2150) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2151) pred(n1) = all_4_9
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2150) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2152) succ(n1) = all_4_5
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2152) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2153) all_4_5 = n2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2151) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2154) all_4_9 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2153), (2154) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2155) sum(n0, n2) = all_4_2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2154) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2156) sum(n0, n12) = all_4_7
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2153) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2157) sum(n10, n2) = all_4_4
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2155) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2158) all_4_2 = n2
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n12, n0,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (2156) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2159) all_4_7 = n12
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n2, n10,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (169), (2157) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2160) all_4_4 = n12
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2158) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2161) sum(n2, n6) = all_4_0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2159), (2160) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2162) sum(n12, n12) = all_4_3
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (45), (211), (2161), (2162) are
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2163) all_4_11 = n0
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2163) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2164) pred(n0) = all_4_9
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2163) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2165) succ(n0) = all_4_5
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2165) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2166) all_4_5 = n1
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2164) gives:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2167) all_4_9 = n15
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2166), (2167) imply:
% 51.58/7.92 | | | | | | | | | | | | | | | | | | | | | (2168) sum(n15, n1) = all_4_2
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2027), (2167) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2169) sum(n15, n12) = all_4_7
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2166) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2170) sum(n10, n1) = all_4_4
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n1, n10,
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (168), (2170) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2171) all_4_4 = n11
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2168) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2172) all_4_2 = n0
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n12, n15,
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | simplifying with (259), (2169) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2173) all_4_7 = n11
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2172) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2174) sum(n0, n6) = all_4_0
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2171), (2173) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | (2175) sum(n11, n11) = all_4_3
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (194), (2174), (2175) are
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | End of split
% 51.58/7.93 | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | Case 2:
% 51.58/7.93 | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | (2176) all_4_10 = n10 | all_4_10 = n9 | all_4_10 = n8 |
% 51.58/7.93 | | | | | | | | | | | all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.58/7.93 | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.58/7.93 | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.93 | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | BETA: splitting (2019) gives:
% 51.58/7.93 | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | Case 1:
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | (2177) all_4_11 = n10
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | REDUCE: (303), (2177) imply:
% 51.58/7.93 | | | | | | | | | | | | (2178) pred(n10) = all_4_9
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | REDUCE: (285), (2177) imply:
% 51.58/7.93 | | | | | | | | | | | | (2179) succ(n10) = all_4_5
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_5, n10,
% 51.58/7.93 | | | | | | | | | | | | simplifying with (279), (2179) gives:
% 51.58/7.93 | | | | | | | | | | | | (2180) all_4_5 = n11
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_9, n10,
% 51.58/7.93 | | | | | | | | | | | | simplifying with (297), (2178) gives:
% 51.58/7.93 | | | | | | | | | | | | (2181) all_4_9 = n9
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | REDUCE: (267), (2180) imply:
% 51.58/7.93 | | | | | | | | | | | | (2182) sum(all_4_6, n11) = all_4_4
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | REDUCE: (264), (2180), (2181) imply:
% 51.58/7.93 | | | | | | | | | | | | (2183) sum(n9, n11) = all_4_2
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | REDUCE: (263), (2181) imply:
% 51.58/7.93 | | | | | | | | | | | | (2184) sum(n9, all_4_8) = all_4_7
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n11, n9,
% 51.58/7.93 | | | | | | | | | | | | simplifying with (162), (2183) gives:
% 51.58/7.93 | | | | | | | | | | | | (2185) all_4_2 = n4
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | REDUCE: (268), (2185) imply:
% 51.58/7.93 | | | | | | | | | | | | (2186) sum(n4, all_4_1) = all_4_0
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | BETA: splitting (2176) gives:
% 51.58/7.93 | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | Case 1:
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | (2187) all_4_10 = n10
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | REDUCE: (304), (2187) imply:
% 51.58/7.93 | | | | | | | | | | | | | (2188) pred(n10) = all_4_6
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | REDUCE: (286), (2187) imply:
% 51.58/7.93 | | | | | | | | | | | | | (2189) succ(n10) = all_4_8
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 51.58/7.93 | | | | | | | | | | | | | simplifying with (279), (2189) gives:
% 51.58/7.93 | | | | | | | | | | | | | (2190) all_4_8 = n11
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 51.58/7.93 | | | | | | | | | | | | | simplifying with (297), (2188) gives:
% 51.58/7.93 | | | | | | | | | | | | | (2191) all_4_6 = n9
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | REDUCE: (266), (2190), (2191) imply:
% 51.58/7.93 | | | | | | | | | | | | | (2192) sum(n9, n11) = all_4_1
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | REDUCE: (2182), (2191) imply:
% 51.58/7.93 | | | | | | | | | | | | | (2193) sum(n9, n11) = all_4_4
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | REDUCE: (2184), (2190) imply:
% 51.58/7.93 | | | | | | | | | | | | | (2194) sum(n9, n11) = all_4_7
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n11, n9,
% 51.58/7.93 | | | | | | | | | | | | | simplifying with (162), (2193) gives:
% 51.58/7.93 | | | | | | | | | | | | | (2195) all_4_4 = n4
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n11, n9,
% 51.58/7.93 | | | | | | | | | | | | | simplifying with (2192), (2193) gives:
% 51.58/7.93 | | | | | | | | | | | | | (2196) all_4_1 = all_4_4
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n11, n9,
% 51.58/7.93 | | | | | | | | | | | | | simplifying with (2192), (2194) gives:
% 51.58/7.93 | | | | | | | | | | | | | (2197) all_4_1 = all_4_7
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (265), (2186), (2195), (2196),
% 51.58/7.93 | | | | | | | | | | | | | (2197) are inconsistent by sub-proof #18.
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | Case 2:
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | (2198) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 51.58/7.93 | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.58/7.93 | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.58/7.93 | | | | | | | | | | | | | all_4_10 = n0
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | BETA: splitting (2198) gives:
% 51.58/7.93 | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | Case 1:
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | (2199) all_4_10 = n9
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | REDUCE: (304), (2199) imply:
% 51.58/7.93 | | | | | | | | | | | | | | (2200) pred(n9) = all_4_6
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | REDUCE: (286), (2199) imply:
% 51.58/7.93 | | | | | | | | | | | | | | (2201) succ(n9) = all_4_8
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 51.58/7.93 | | | | | | | | | | | | | | simplifying with (278), (2201) gives:
% 51.58/7.93 | | | | | | | | | | | | | | (2202) all_4_8 = n10
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 51.58/7.93 | | | | | | | | | | | | | | simplifying with (296), (2200) gives:
% 51.58/7.93 | | | | | | | | | | | | | | (2203) all_4_6 = n8
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | REDUCE: (266), (2202), (2203) imply:
% 51.58/7.93 | | | | | | | | | | | | | | (2204) sum(n8, n10) = all_4_1
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | REDUCE: (2182), (2203) imply:
% 51.58/7.93 | | | | | | | | | | | | | | (2205) sum(n8, n11) = all_4_4
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | REDUCE: (2184), (2202) imply:
% 51.58/7.93 | | | | | | | | | | | | | | (2206) sum(n9, n10) = all_4_7
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 51.58/7.93 | | | | | | | | | | | | | | simplifying with (145), (2204) gives:
% 51.58/7.93 | | | | | | | | | | | | | | (2207) all_4_1 = n2
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n11, n8,
% 51.58/7.93 | | | | | | | | | | | | | | simplifying with (146), (2205) gives:
% 51.58/7.93 | | | | | | | | | | | | | | (2208) all_4_4 = n3
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n10, n9,
% 51.58/7.93 | | | | | | | | | | | | | | simplifying with (161), (2206) gives:
% 51.58/7.93 | | | | | | | | | | | | | | (2209) all_4_7 = n3
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (73), (265), (2186), (2207),
% 51.58/7.93 | | | | | | | | | | | | | | (2208), (2209) are inconsistent by sub-proof #17.
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | Case 2:
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | (2210) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.58/7.93 | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.58/7.93 | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | BETA: splitting (2210) gives:
% 51.58/7.93 | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | Case 1:
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | (2211) all_4_10 = n8
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | REDUCE: (304), (2211) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | (2212) pred(n8) = all_4_6
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | REDUCE: (286), (2211) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | (2213) succ(n8) = all_4_8
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 51.58/7.93 | | | | | | | | | | | | | | | simplifying with (277), (2213) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | (2214) all_4_8 = n9
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 51.58/7.93 | | | | | | | | | | | | | | | simplifying with (295), (2212) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | (2215) all_4_6 = n7
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | REDUCE: (266), (2214), (2215) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | (2216) sum(n7, n9) = all_4_1
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | REDUCE: (2182), (2215) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | (2217) sum(n7, n11) = all_4_4
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | REDUCE: (2184), (2214) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | (2218) sum(n9, n9) = all_4_7
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 51.58/7.93 | | | | | | | | | | | | | | | simplifying with (128), (2216) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | (2219) all_4_1 = n0
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n11, n7,
% 51.58/7.93 | | | | | | | | | | | | | | | simplifying with (130), (2217) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | (2220) all_4_4 = n2
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n9, n9,
% 51.58/7.93 | | | | | | | | | | | | | | | simplifying with (160), (2218) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | (2221) all_4_7 = n2
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (71), (265), (2186), (2219),
% 51.58/7.93 | | | | | | | | | | | | | | | (2220), (2221) are inconsistent by sub-proof #16.
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | Case 2:
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | (2222) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.58/7.93 | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.58/7.93 | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | BETA: splitting (2222) gives:
% 51.58/7.93 | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | Case 1:
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | (2223) all_4_10 = n7
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (304), (2223) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2224) pred(n7) = all_4_6
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (286), (2223) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2225) succ(n7) = all_4_8
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.58/7.93 | | | | | | | | | | | | | | | | simplifying with (276), (2225) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2226) all_4_8 = n8
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.58/7.93 | | | | | | | | | | | | | | | | simplifying with (294), (2224) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2227) all_4_6 = n6
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (266), (2226), (2227) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2228) sum(n6, n8) = all_4_1
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (2182), (2227) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2229) sum(n6, n11) = all_4_4
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (2184), (2226) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2230) sum(n9, n8) = all_4_7
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 51.58/7.93 | | | | | | | | | | | | | | | | simplifying with (111), (2228) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2231) all_4_1 = n14
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n11, n6,
% 51.58/7.93 | | | | | | | | | | | | | | | | simplifying with (114), (2229) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2232) all_4_4 = n1
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n8, n9,
% 51.58/7.93 | | | | | | | | | | | | | | | | simplifying with (159), (2230) gives:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2233) all_4_7 = n1
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (265), (2232), (2233) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2234) sum(n1, n1) = all_4_3
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REDUCE: (2186), (2231) imply:
% 51.58/7.93 | | | | | | | | | | | | | | | | (2235) sum(n4, n14) = all_4_0
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (85), (2234), (2235) are
% 51.58/7.93 | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.93 | | | | | | | | | | | | | | | Case 2:
% 51.58/7.93 | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | (2236) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.58/7.94 | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.58/7.94 | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | BETA: splitting (2236) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2237) all_4_10 = n6
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (304), (2237) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2238) pred(n6) = all_4_6
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (286), (2237) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2239) succ(n6) = all_4_8
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.58/7.94 | | | | | | | | | | | | | | | | | simplifying with (275), (2239) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2240) all_4_8 = n7
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.58/7.94 | | | | | | | | | | | | | | | | | simplifying with (293), (2238) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2241) all_4_6 = n5
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (266), (2240), (2241) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2242) sum(n5, n7) = all_4_1
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (2182), (2241) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2243) sum(n5, n11) = all_4_4
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (2184), (2240) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2244) sum(n9, n7) = all_4_7
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 51.58/7.94 | | | | | | | | | | | | | | | | | simplifying with (94), (2242) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2245) all_4_1 = n12
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n11, n5,
% 51.58/7.94 | | | | | | | | | | | | | | | | | simplifying with (98), (2243) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2246) all_4_4 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n7, n9,
% 51.58/7.94 | | | | | | | | | | | | | | | | | simplifying with (158), (2244) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2247) all_4_7 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (265), (2246), (2247) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2248) sum(n0, n0) = all_4_3
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REDUCE: (2186), (2245) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2249) sum(n4, n12) = all_4_0
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (83), (2248), (2249) are
% 51.58/7.94 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | (2250) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.58/7.94 | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | BETA: splitting (2250) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2251) all_4_10 = n5
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (304), (2251) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2252) pred(n5) = all_4_6
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (286), (2251) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2253) succ(n5) = all_4_8
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | simplifying with (274), (2253) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2254) all_4_8 = n6
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | simplifying with (292), (2252) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2255) all_4_6 = n4
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (266), (2254), (2255) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2256) sum(n4, n6) = all_4_1
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2255) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2257) sum(n4, n11) = all_4_4
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2254) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2258) sum(n9, n6) = all_4_7
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | simplifying with (77), (2256) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2259) all_4_1 = n10
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n11, n4,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | simplifying with (82), (2257) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2260) all_4_4 = n15
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n6, n9,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | simplifying with (157), (2258) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2261) all_4_7 = n15
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2260), (2261) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2262) sum(n15, n15) = all_4_3
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2259) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2263) sum(n4, n10) = all_4_0
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (262), (2262), (2263) are
% 51.58/7.94 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | (2264) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | BETA: splitting (2264) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2265) all_4_10 = n4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2265) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2266) pred(n4) = all_4_6
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2265) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2267) succ(n4) = all_4_8
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | simplifying with (273), (2267) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2268) all_4_8 = n5
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | simplifying with (291), (2266) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2269) all_4_6 = n3
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2268), (2269) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2270) sum(n3, n5) = all_4_1
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2269) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2271) sum(n3, n11) = all_4_4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2268) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2272) sum(n9, n5) = all_4_7
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | simplifying with (60), (2270) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2273) all_4_1 = n8
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n11, n3,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | simplifying with (66), (2271) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2274) all_4_4 = n14
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n5, n9,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | simplifying with (156), (2272) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2275) all_4_7 = n14
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2274), (2275) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2276) sum(n14, n14) = all_4_3
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2273) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2277) sum(n4, n8) = all_4_0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (245), (2276), (2277) are
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | (2278) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (2278) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2279) all_4_10 = n3
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2279) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2280) pred(n3) = all_4_6
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2279) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2281) succ(n3) = all_4_8
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | simplifying with (272), (2281) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2282) all_4_8 = n4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2280) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2283) all_4_6 = n2
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2282), (2283) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2284) sum(n2, n4) = all_4_1
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2283) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2285) sum(n2, n11) = all_4_4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2282) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2286) sum(n9, n4) = all_4_7
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | simplifying with (43), (2284) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2287) all_4_1 = n6
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n11, n2,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | simplifying with (50), (2285) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2288) all_4_4 = n13
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n4, n9,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | simplifying with (155), (2286) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2289) all_4_7 = n13
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2288), (2289) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2290) sum(n13, n13) = all_4_3
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2287) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2291) sum(n4, n6) = all_4_0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (228), (2290), (2291) are
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | (2292) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2293) all_4_10 = n2
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2293) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2294) pred(n2) = all_4_6
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2293) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2295) succ(n2) = all_4_8
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2295) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2296) all_4_8 = n3
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2294) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2297) all_4_6 = n1
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2296), (2297) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2298) sum(n1, n3) = all_4_1
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2297) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2299) sum(n1, n11) = all_4_4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2296) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2300) sum(n9, n3) = all_4_7
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2298) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2301) all_4_1 = n4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n11, n1,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (2299) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2302) all_4_4 = n12
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n3, n9,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | simplifying with (154), (2300) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2303) all_4_7 = n12
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2302), (2303) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2304) sum(n12, n12) = all_4_3
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2301) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2305) sum(n4, n4) = all_4_0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (211), (2304), (2305) are
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | (2306) all_4_10 = n1 | all_4_10 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2307) all_4_10 = n1
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2307) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2308) pred(n1) = all_4_6
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2307) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2309) succ(n1) = all_4_8
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2309) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2310) all_4_8 = n2
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2308) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2311) all_4_6 = n0
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2310), (2311) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2312) sum(n0, n2) = all_4_1
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2311) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2313) sum(n0, n11) = all_4_4
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2310) imply:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2314) sum(n9, n2) = all_4_7
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2312) gives:
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | | (2315) all_4_1 = n2
% 51.58/7.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n11, n0,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (2313) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2316) all_4_4 = n11
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n2, n9,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (153), (2314) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2317) all_4_7 = n11
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2316), (2317) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2318) sum(n11, n11) = all_4_3
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2315) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2319) sum(n4, n2) = all_4_0
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (73), (194), (2318), (2319) are
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2320) all_4_10 = n0
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2320) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2321) pred(n0) = all_4_6
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2320) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2322) succ(n0) = all_4_8
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2322) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2323) all_4_8 = n1
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2321) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2324) all_4_6 = n15
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2323), (2324) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2325) sum(n15, n1) = all_4_1
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2324) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2326) sum(n15, n11) = all_4_4
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2323) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2327) sum(n9, n1) = all_4_7
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n1, n9,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (152), (2327) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2328) all_4_7 = n10
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2325) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2329) all_4_1 = n0
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n11, n15,
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | simplifying with (258), (2326) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2330) all_4_4 = n10
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2328), (2330) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2331) sum(n10, n10) = all_4_3
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2329) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | (2332) sum(n4, n0) = all_4_0
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (71), (177), (2331), (2332) are
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | End of split
% 51.58/7.95 | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | Case 2:
% 51.58/7.95 | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | (2333) all_4_11 = n9 | all_4_11 = n8 | all_4_11 = n7 |
% 51.58/7.95 | | | | | | | | | | | | all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.58/7.95 | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.58/7.95 | | | | | | | | | | | | all_4_11 = n0
% 51.58/7.95 | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | BETA: splitting (2176) gives:
% 51.58/7.95 | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | Case 1:
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | (2334) all_4_10 = n10
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | REDUCE: (304), (2334) imply:
% 51.58/7.95 | | | | | | | | | | | | | (2335) pred(n10) = all_4_6
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | REDUCE: (286), (2334) imply:
% 51.58/7.95 | | | | | | | | | | | | | (2336) succ(n10) = all_4_8
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n11, all_4_8, n10,
% 51.58/7.95 | | | | | | | | | | | | | simplifying with (279), (2336) gives:
% 51.58/7.95 | | | | | | | | | | | | | (2337) all_4_8 = n11
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n9, all_4_6, n10,
% 51.58/7.95 | | | | | | | | | | | | | simplifying with (297), (2335) gives:
% 51.58/7.95 | | | | | | | | | | | | | (2338) all_4_6 = n9
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | REDUCE: (267), (2338) imply:
% 51.58/7.95 | | | | | | | | | | | | | (2339) sum(n9, all_4_5) = all_4_4
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | REDUCE: (266), (2337), (2338) imply:
% 51.58/7.95 | | | | | | | | | | | | | (2340) sum(n9, n11) = all_4_1
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | REDUCE: (263), (2337) imply:
% 51.58/7.95 | | | | | | | | | | | | | (2341) sum(all_4_9, n11) = all_4_7
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n11, n9,
% 51.58/7.95 | | | | | | | | | | | | | simplifying with (162), (2340) gives:
% 51.58/7.95 | | | | | | | | | | | | | (2342) all_4_1 = n4
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | REDUCE: (268), (2342) imply:
% 51.58/7.95 | | | | | | | | | | | | | (2343) sum(all_4_2, n4) = all_4_0
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | BETA: splitting (2333) gives:
% 51.58/7.95 | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | Case 1:
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | (2344) all_4_11 = n9
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | REDUCE: (303), (2344) imply:
% 51.58/7.95 | | | | | | | | | | | | | | (2345) pred(n9) = all_4_9
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | REDUCE: (285), (2344) imply:
% 51.58/7.95 | | | | | | | | | | | | | | (2346) succ(n9) = all_4_5
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 51.58/7.95 | | | | | | | | | | | | | | simplifying with (278), (2346) gives:
% 51.58/7.95 | | | | | | | | | | | | | | (2347) all_4_5 = n10
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 51.58/7.95 | | | | | | | | | | | | | | simplifying with (296), (2345) gives:
% 51.58/7.95 | | | | | | | | | | | | | | (2348) all_4_9 = n8
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | REDUCE: (264), (2347), (2348) imply:
% 51.58/7.95 | | | | | | | | | | | | | | (2349) sum(n8, n10) = all_4_2
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | REDUCE: (2341), (2348) imply:
% 51.58/7.95 | | | | | | | | | | | | | | (2350) sum(n8, n11) = all_4_7
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | REDUCE: (2339), (2347) imply:
% 51.58/7.95 | | | | | | | | | | | | | | (2351) sum(n9, n10) = all_4_4
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 51.58/7.95 | | | | | | | | | | | | | | simplifying with (145), (2349) gives:
% 51.58/7.95 | | | | | | | | | | | | | | (2352) all_4_2 = n2
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n11, n8,
% 51.58/7.95 | | | | | | | | | | | | | | simplifying with (146), (2350) gives:
% 51.58/7.95 | | | | | | | | | | | | | | (2353) all_4_7 = n3
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n10, n9,
% 51.58/7.95 | | | | | | | | | | | | | | simplifying with (161), (2351) gives:
% 51.58/7.95 | | | | | | | | | | | | | | (2354) all_4_4 = n3
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (43), (58), (265), (2343), (2352),
% 51.58/7.95 | | | | | | | | | | | | | | (2353), (2354) are inconsistent by sub-proof #12.
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | Case 2:
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | (2355) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 51.58/7.95 | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.58/7.95 | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | BETA: splitting (2355) gives:
% 51.58/7.95 | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | Case 1:
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | (2356) all_4_11 = n8
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | REDUCE: (303), (2356) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | (2357) pred(n8) = all_4_9
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | REDUCE: (285), (2356) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | (2358) succ(n8) = all_4_5
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 51.58/7.95 | | | | | | | | | | | | | | | simplifying with (277), (2358) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | (2359) all_4_5 = n9
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 51.58/7.95 | | | | | | | | | | | | | | | simplifying with (295), (2357) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | (2360) all_4_9 = n7
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | REDUCE: (264), (2359), (2360) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | (2361) sum(n7, n9) = all_4_2
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | REDUCE: (2341), (2360) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | (2362) sum(n7, n11) = all_4_7
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | REDUCE: (2339), (2359) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | (2363) sum(n9, n9) = all_4_4
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 51.58/7.95 | | | | | | | | | | | | | | | simplifying with (128), (2361) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | (2364) all_4_2 = n0
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n11, n7,
% 51.58/7.95 | | | | | | | | | | | | | | | simplifying with (130), (2362) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | (2365) all_4_7 = n2
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n9, n9,
% 51.58/7.95 | | | | | | | | | | | | | | | simplifying with (160), (2363) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | (2366) all_4_4 = n2
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (41), (265), (2343), (2364),
% 51.58/7.95 | | | | | | | | | | | | | | | (2365), (2366) are inconsistent by sub-proof #11.
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | Case 2:
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | (2367) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.58/7.95 | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.58/7.95 | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | BETA: splitting (2367) gives:
% 51.58/7.95 | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | Case 1:
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | (2368) all_4_11 = n7
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (303), (2368) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2369) pred(n7) = all_4_9
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (285), (2368) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2370) succ(n7) = all_4_5
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.58/7.95 | | | | | | | | | | | | | | | | simplifying with (276), (2370) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2371) all_4_5 = n8
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.58/7.95 | | | | | | | | | | | | | | | | simplifying with (294), (2369) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2372) all_4_9 = n6
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (264), (2371), (2372) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2373) sum(n6, n8) = all_4_2
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (2341), (2372) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2374) sum(n6, n11) = all_4_7
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (2339), (2371) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2375) sum(n9, n8) = all_4_4
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.58/7.95 | | | | | | | | | | | | | | | | simplifying with (111), (2373) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2376) all_4_2 = n14
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n11, n6,
% 51.58/7.95 | | | | | | | | | | | | | | | | simplifying with (114), (2374) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2377) all_4_7 = n1
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n8, n9,
% 51.58/7.95 | | | | | | | | | | | | | | | | simplifying with (159), (2375) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2378) all_4_4 = n1
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (2343), (2376) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2379) sum(n14, n4) = all_4_0
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REDUCE: (265), (2377), (2378) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | (2380) sum(n1, n1) = all_4_3
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (235), (2379), (2380) are
% 51.58/7.95 | | | | | | | | | | | | | | | | inconsistent by sub-proof #118.
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | Case 2:
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | (2381) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.58/7.95 | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.58/7.95 | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | BETA: splitting (2381) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2382) all_4_11 = n6
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (303), (2382) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2383) pred(n6) = all_4_9
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (285), (2382) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2384) succ(n6) = all_4_5
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.58/7.95 | | | | | | | | | | | | | | | | | simplifying with (275), (2384) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2385) all_4_5 = n7
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.58/7.95 | | | | | | | | | | | | | | | | | simplifying with (293), (2383) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2386) all_4_9 = n5
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (264), (2385), (2386) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2387) sum(n5, n7) = all_4_2
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (2341), (2386) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2388) sum(n5, n11) = all_4_7
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (2339), (2385) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2389) sum(n9, n7) = all_4_4
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.58/7.95 | | | | | | | | | | | | | | | | | simplifying with (94), (2387) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2390) all_4_2 = n12
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n11, n5,
% 51.58/7.95 | | | | | | | | | | | | | | | | | simplifying with (98), (2388) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2391) all_4_7 = n0
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n7, n9,
% 51.58/7.95 | | | | | | | | | | | | | | | | | simplifying with (158), (2389) gives:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2392) all_4_4 = n0
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (2343), (2390) imply:
% 51.58/7.95 | | | | | | | | | | | | | | | | | (2393) sum(n12, n4) = all_4_0
% 51.58/7.95 | | | | | | | | | | | | | | | | |
% 51.58/7.95 | | | | | | | | | | | | | | | | | REDUCE: (265), (2391), (2392) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | (2394) sum(n0, n0) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (203), (2393), (2394) are
% 51.58/7.96 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89.
% 51.58/7.96 | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.96 | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | (2395) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.58/7.96 | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | BETA: splitting (2395) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2396) all_4_11 = n5
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (303), (2396) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2397) pred(n5) = all_4_9
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (285), (2396) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2398) succ(n5) = all_4_5
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | simplifying with (274), (2398) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2399) all_4_5 = n6
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | simplifying with (292), (2397) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2400) all_4_9 = n4
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (264), (2399), (2400) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2401) sum(n4, n6) = all_4_2
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (2341), (2400) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2402) sum(n4, n11) = all_4_7
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2399) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2403) sum(n9, n6) = all_4_4
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | simplifying with (77), (2401) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2404) all_4_2 = n10
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n11, n4,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | simplifying with (82), (2402) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2405) all_4_7 = n15
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n6, n9,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | simplifying with (157), (2403) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2406) all_4_4 = n15
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (2343), (2404) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2407) sum(n10, n4) = all_4_0
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2405), (2406) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2408) sum(n15, n15) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (171), (262), (2407), (2408) are
% 51.58/7.96 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64.
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | (2409) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2410) all_4_11 = n4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2410) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2411) pred(n4) = all_4_9
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2410) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2412) succ(n4) = all_4_5
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | simplifying with (273), (2412) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2413) all_4_5 = n5
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | simplifying with (291), (2411) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2414) all_4_9 = n3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2413), (2414) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2415) sum(n3, n5) = all_4_2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (2341), (2414) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2416) sum(n3, n11) = all_4_7
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2413) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2417) sum(n9, n5) = all_4_4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | simplifying with (60), (2415) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2418) all_4_2 = n8
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n11, n3,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | simplifying with (66), (2416) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2419) all_4_7 = n14
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n5, n9,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | simplifying with (156), (2417) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2420) all_4_4 = n14
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (2343), (2418) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2421) sum(n8, n4) = all_4_0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2419), (2420) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2422) sum(n14, n14) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (139), (245), (2421), (2422) are
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43.
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | (2423) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (2423) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2424) all_4_11 = n3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2424) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2425) pred(n3) = all_4_9
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2424) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2426) succ(n3) = all_4_5
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | simplifying with (272), (2426) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2427) all_4_5 = n4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2425) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2428) all_4_9 = n2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2427), (2428) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2429) sum(n2, n4) = all_4_2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (2341), (2428) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2430) sum(n2, n11) = all_4_7
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2427) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2431) sum(n9, n4) = all_4_4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | simplifying with (43), (2429) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2432) all_4_2 = n6
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n11, n2,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | simplifying with (50), (2430) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2433) all_4_7 = n13
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n4, n9,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | simplifying with (155), (2431) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2434) all_4_4 = n13
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (2343), (2432) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2435) sum(n6, n4) = all_4_0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2433), (2434) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2436) sum(n13, n13) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (107), (228), (2435), (2436) are
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | (2437) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2437) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2438) all_4_11 = n2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2438) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2439) pred(n2) = all_4_9
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2438) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2440) succ(n2) = all_4_5
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2440) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2441) all_4_5 = n3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2439) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2442) all_4_9 = n1
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2441), (2442) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2443) sum(n1, n3) = all_4_2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2341), (2442) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2444) sum(n1, n11) = all_4_7
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2441) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2445) sum(n9, n3) = all_4_4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2443) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2446) all_4_2 = n4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n11, n1,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | simplifying with (34), (2444) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2447) all_4_7 = n12
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n3, n9,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | simplifying with (154), (2445) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2448) all_4_4 = n12
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2343), (2446) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2449) sum(n4, n4) = all_4_0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2447), (2448) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2450) sum(n12, n12) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (211), (2449), (2450) are
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | (2451) all_4_11 = n1 | all_4_11 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2451) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2452) all_4_11 = n1
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2452) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2453) pred(n1) = all_4_9
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2452) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2454) succ(n1) = all_4_5
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2454) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2455) all_4_5 = n2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2453) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2456) all_4_9 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2455), (2456) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2457) sum(n0, n2) = all_4_2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2341), (2456) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2458) sum(n0, n11) = all_4_7
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2455) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2459) sum(n9, n2) = all_4_4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2457) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2460) all_4_2 = n2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n11, n0,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (2458) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2461) all_4_7 = n11
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n2, n9,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (153), (2459) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2462) all_4_4 = n11
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2343), (2460) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2463) sum(n2, n4) = all_4_0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2461), (2462) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2464) sum(n11, n11) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (43), (194), (2463), (2464) are
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2465) all_4_11 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2465) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2466) pred(n0) = all_4_9
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2465) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2467) succ(n0) = all_4_5
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2467) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2468) all_4_5 = n1
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2466) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2469) all_4_9 = n15
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2468), (2469) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2470) sum(n15, n1) = all_4_2
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2341), (2469) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2471) sum(n15, n11) = all_4_7
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2468) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2472) sum(n9, n1) = all_4_4
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n1, n9,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (152), (2472) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2473) all_4_4 = n10
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2470) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2474) all_4_2 = n0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n11, n15,
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | simplifying with (258), (2471) gives:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2475) all_4_7 = n10
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2343), (2474) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2476) sum(n0, n4) = all_4_0
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2473), (2475) imply:
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | | (2477) sum(n10, n10) = all_4_3
% 51.58/7.96 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (177), (2476), (2477) are
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | End of split
% 51.58/7.97 | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | Case 2:
% 51.58/7.97 | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | (2478) all_4_10 = n9 | all_4_10 = n8 | all_4_10 = n7 |
% 51.58/7.97 | | | | | | | | | | | | | all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.58/7.97 | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.58/7.97 | | | | | | | | | | | | | all_4_10 = n0
% 51.58/7.97 | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | BETA: splitting (2333) gives:
% 51.58/7.97 | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | Case 1:
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | (2479) all_4_11 = n9
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | REDUCE: (303), (2479) imply:
% 51.58/7.97 | | | | | | | | | | | | | | (2480) pred(n9) = all_4_9
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | REDUCE: (285), (2479) imply:
% 51.58/7.97 | | | | | | | | | | | | | | (2481) succ(n9) = all_4_5
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_5, n9,
% 51.58/7.97 | | | | | | | | | | | | | | simplifying with (278), (2481) gives:
% 51.58/7.97 | | | | | | | | | | | | | | (2482) all_4_5 = n10
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_9, n9,
% 51.58/7.97 | | | | | | | | | | | | | | simplifying with (296), (2480) gives:
% 51.58/7.97 | | | | | | | | | | | | | | (2483) all_4_9 = n8
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | REDUCE: (267), (2482) imply:
% 51.58/7.97 | | | | | | | | | | | | | | (2484) sum(all_4_6, n10) = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | REDUCE: (264), (2482), (2483) imply:
% 51.58/7.97 | | | | | | | | | | | | | | (2485) sum(n8, n10) = all_4_2
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | REDUCE: (263), (2483) imply:
% 51.58/7.97 | | | | | | | | | | | | | | (2486) sum(n8, all_4_8) = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n10, n8,
% 51.58/7.97 | | | | | | | | | | | | | | simplifying with (145), (2485) gives:
% 51.58/7.97 | | | | | | | | | | | | | | (2487) all_4_2 = n2
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | REDUCE: (268), (2487) imply:
% 51.58/7.97 | | | | | | | | | | | | | | (2488) sum(n2, all_4_1) = all_4_0
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 51.58/7.97 | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | Case 1:
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | (2489) all_4_10 = n9
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | REDUCE: (304), (2489) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | (2490) pred(n9) = all_4_6
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | REDUCE: (286), (2489) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | (2491) succ(n9) = all_4_8
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 51.58/7.97 | | | | | | | | | | | | | | | simplifying with (278), (2491) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | (2492) all_4_8 = n10
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 51.58/7.97 | | | | | | | | | | | | | | | simplifying with (296), (2490) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | (2493) all_4_6 = n8
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | REDUCE: (266), (2492), (2493) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | (2494) sum(n8, n10) = all_4_1
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | REDUCE: (2484), (2493) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | (2495) sum(n8, n10) = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | REDUCE: (2486), (2492) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | (2496) sum(n8, n10) = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n10, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | simplifying with (145), (2495) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | (2497) all_4_4 = n2
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n10, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | simplifying with (2494), (2495) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | (2498) all_4_1 = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n10, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | simplifying with (2494), (2496) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | (2499) all_4_1 = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (265), (2488), (2497), (2498),
% 51.58/7.97 | | | | | | | | | | | | | | | (2499) are inconsistent by sub-proof #8.
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | Case 2:
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | (2500) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.58/7.97 | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.58/7.97 | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | BETA: splitting (2500) gives:
% 51.58/7.97 | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | Case 1:
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | (2501) all_4_10 = n8
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | REDUCE: (304), (2501) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2502) pred(n8) = all_4_6
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | REDUCE: (286), (2501) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2503) succ(n8) = all_4_8
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | | simplifying with (277), (2503) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2504) all_4_8 = n9
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | | simplifying with (295), (2502) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2505) all_4_6 = n7
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | REDUCE: (266), (2504), (2505) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2506) sum(n7, n9) = all_4_1
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | REDUCE: (2484), (2505) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2507) sum(n7, n10) = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | REDUCE: (2486), (2504) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2508) sum(n8, n9) = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 51.58/7.97 | | | | | | | | | | | | | | | | simplifying with (128), (2506) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2509) all_4_1 = n0
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n10, n7,
% 51.58/7.97 | | | | | | | | | | | | | | | | simplifying with (129), (2507) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2510) all_4_4 = n1
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n9, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | | simplifying with (144), (2508) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | (2511) all_4_7 = n1
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (39), (265), (2488), (2509),
% 51.58/7.97 | | | | | | | | | | | | | | | | (2510), (2511) are inconsistent by sub-proof #7.
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | Case 2:
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | (2512) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.58/7.97 | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.58/7.97 | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | BETA: splitting (2512) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2513) all_4_10 = n7
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (304), (2513) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2514) pred(n7) = all_4_6
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (286), (2513) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2515) succ(n7) = all_4_8
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.58/7.97 | | | | | | | | | | | | | | | | | simplifying with (276), (2515) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2516) all_4_8 = n8
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.58/7.97 | | | | | | | | | | | | | | | | | simplifying with (294), (2514) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2517) all_4_6 = n6
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (266), (2516), (2517) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2518) sum(n6, n8) = all_4_1
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (2484), (2517) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2519) sum(n6, n10) = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (2486), (2516) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2520) sum(n8, n8) = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 51.58/7.97 | | | | | | | | | | | | | | | | | simplifying with (111), (2518) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2521) all_4_1 = n14
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n10, n6,
% 51.58/7.97 | | | | | | | | | | | | | | | | | simplifying with (113), (2519) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2522) all_4_4 = n0
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n8, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | | | simplifying with (143), (2520) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2523) all_4_7 = n0
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (265), (2522), (2523) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2524) sum(n0, n0) = all_4_3
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REDUCE: (2488), (2521) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2525) sum(n2, n14) = all_4_0
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (53), (2524), (2525) are
% 51.58/7.97 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | (2526) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.58/7.97 | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.58/7.97 | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | BETA: splitting (2526) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2527) all_4_10 = n6
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (304), (2527) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2528) pred(n6) = all_4_6
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (286), (2527) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2529) succ(n6) = all_4_8
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | simplifying with (275), (2529) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2530) all_4_8 = n7
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | simplifying with (293), (2528) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2531) all_4_6 = n5
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (266), (2530), (2531) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2532) sum(n5, n7) = all_4_1
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2531) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2533) sum(n5, n10) = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2530) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2534) sum(n8, n7) = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | simplifying with (94), (2532) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2535) all_4_1 = n12
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n10, n5,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | simplifying with (97), (2533) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2536) all_4_4 = n15
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n7, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | simplifying with (142), (2534) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2537) all_4_7 = n15
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2536), (2537) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2538) sum(n15, n15) = all_4_3
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2535) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2539) sum(n2, n12) = all_4_0
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (262), (2538), (2539) are
% 51.58/7.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | (2540) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | BETA: splitting (2540) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2541) all_4_10 = n5
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2541) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2542) pred(n5) = all_4_6
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2541) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2543) succ(n5) = all_4_8
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | simplifying with (274), (2543) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2544) all_4_8 = n6
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | simplifying with (292), (2542) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2545) all_4_6 = n4
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2544), (2545) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2546) sum(n4, n6) = all_4_1
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2545) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2547) sum(n4, n10) = all_4_4
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2544) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2548) sum(n8, n6) = all_4_7
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | simplifying with (77), (2546) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2549) all_4_1 = n10
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n10, n4,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | simplifying with (81), (2547) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2550) all_4_4 = n14
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n6, n8,
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | simplifying with (141), (2548) gives:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2551) all_4_7 = n14
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2550), (2551) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2552) sum(n14, n14) = all_4_3
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2549) imply:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | (2553) sum(n2, n10) = all_4_0
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (49), (245), (2552), (2553) are
% 51.58/7.97 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.97 | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.97 | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | (2554) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.98 | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2555) all_4_10 = n4
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2555) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2556) pred(n4) = all_4_6
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2555) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2557) succ(n4) = all_4_8
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | simplifying with (273), (2557) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2558) all_4_8 = n5
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | simplifying with (291), (2556) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2559) all_4_6 = n3
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2558), (2559) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2560) sum(n3, n5) = all_4_1
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2559) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2561) sum(n3, n10) = all_4_4
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2558) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2562) sum(n8, n5) = all_4_7
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | simplifying with (60), (2560) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2563) all_4_1 = n8
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n10, n3,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | simplifying with (65), (2561) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2564) all_4_4 = n13
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n5, n8,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | simplifying with (140), (2562) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2565) all_4_7 = n13
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2564), (2565) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2566) sum(n13, n13) = all_4_3
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2563) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2567) sum(n2, n8) = all_4_0
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (47), (228), (2566), (2567) are
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | (2568) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2569) all_4_10 = n3
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2569) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2570) pred(n3) = all_4_6
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2569) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2571) succ(n3) = all_4_8
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (2571) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2572) all_4_8 = n4
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2570) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2573) all_4_6 = n2
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2572), (2573) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2574) sum(n2, n4) = all_4_1
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2573) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2575) sum(n2, n10) = all_4_4
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2572) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2576) sum(n8, n4) = all_4_7
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (2574) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2577) all_4_1 = n6
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n10, n2,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (2575) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2578) all_4_4 = n12
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n4, n8,
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | simplifying with (139), (2576) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2579) all_4_7 = n12
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2578), (2579) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2580) sum(n12, n12) = all_4_3
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2577) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2581) sum(n2, n6) = all_4_0
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (45), (211), (2580), (2581) are
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | (2582) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2582) gives:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | | (2583) all_4_10 = n2
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2583) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | | (2584) pred(n2) = all_4_6
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2583) imply:
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | | (2585) succ(n2) = all_4_8
% 51.58/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2585) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2586) all_4_8 = n3
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2584) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2587) all_4_6 = n1
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2586), (2587) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2588) sum(n1, n3) = all_4_1
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2587) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2589) sum(n1, n10) = all_4_4
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2586) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2590) sum(n8, n3) = all_4_7
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2588) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2591) all_4_1 = n4
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n10, n1,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (2589) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2592) all_4_4 = n11
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n3, n8,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | simplifying with (138), (2590) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2593) all_4_7 = n11
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2592), (2593) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2594) sum(n11, n11) = all_4_3
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2591) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2595) sum(n2, n4) = all_4_0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (43), (194), (2594), (2595) are
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | (2596) all_4_10 = n1 | all_4_10 = n0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2596) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2597) all_4_10 = n1
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2597) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2598) pred(n1) = all_4_6
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2597) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2599) succ(n1) = all_4_8
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2599) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2600) all_4_8 = n2
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2598) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2601) all_4_6 = n0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2600), (2601) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2602) sum(n0, n2) = all_4_1
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2601) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2603) sum(n0, n10) = all_4_4
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2600) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2604) sum(n8, n2) = all_4_7
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2602) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2605) all_4_1 = n2
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n10, n0,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (2603) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2606) all_4_4 = n10
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n2, n8,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (137), (2604) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2607) all_4_7 = n10
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2606), (2607) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2608) sum(n10, n10) = all_4_3
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2605) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2609) sum(n2, n2) = all_4_0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (177), (2608), (2609) are
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2610) all_4_10 = n0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2610) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2611) pred(n0) = all_4_6
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2610) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2612) succ(n0) = all_4_8
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2612) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2613) all_4_8 = n1
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2611) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2614) all_4_6 = n15
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2613), (2614) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2615) sum(n15, n1) = all_4_1
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2614) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2616) sum(n15, n10) = all_4_4
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2613) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2617) sum(n8, n1) = all_4_7
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n1, n8,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (136), (2617) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2618) all_4_7 = n9
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2615) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2619) all_4_1 = n0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n10, n15,
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (257), (2616) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2620) all_4_4 = n9
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2618), (2620) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2621) sum(n9, n9) = all_4_3
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2619) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | (2622) sum(n2, n0) = all_4_0
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (39), (160), (2621), (2622) are
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | End of split
% 51.90/7.98 | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | Case 2:
% 51.90/7.98 | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | (2623) all_4_11 = n8 | all_4_11 = n7 | all_4_11 = n6 |
% 51.90/7.98 | | | | | | | | | | | | | | all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.90/7.98 | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/7.98 | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 51.90/7.98 | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | Case 1:
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | (2624) all_4_10 = n9
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | REDUCE: (304), (2624) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | (2625) pred(n9) = all_4_6
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | REDUCE: (286), (2624) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | (2626) succ(n9) = all_4_8
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n10, all_4_8, n9,
% 51.90/7.98 | | | | | | | | | | | | | | | simplifying with (278), (2626) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | (2627) all_4_8 = n10
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n8, all_4_6, n9,
% 51.90/7.98 | | | | | | | | | | | | | | | simplifying with (296), (2625) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | (2628) all_4_6 = n8
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | REDUCE: (267), (2628) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | (2629) sum(n8, all_4_5) = all_4_4
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | REDUCE: (266), (2627), (2628) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | (2630) sum(n8, n10) = all_4_1
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | REDUCE: (263), (2627) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | (2631) sum(all_4_9, n10) = all_4_7
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n10, n8,
% 51.90/7.98 | | | | | | | | | | | | | | | simplifying with (145), (2630) gives:
% 51.90/7.98 | | | | | | | | | | | | | | | (2632) all_4_1 = n2
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | REDUCE: (268), (2632) imply:
% 51.90/7.98 | | | | | | | | | | | | | | | (2633) sum(all_4_2, n2) = all_4_0
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 51.90/7.98 | | | | | | | | | | | | | | |
% 51.90/7.98 | | | | | | | | | | | | | | | Case 1:
% 51.90/7.98 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | (2634) all_4_11 = n8
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (303), (2634) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2635) pred(n8) = all_4_9
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (285), (2634) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2636) succ(n8) = all_4_5
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | simplifying with (277), (2636) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2637) all_4_5 = n9
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | simplifying with (295), (2635) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2638) all_4_9 = n7
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (264), (2637), (2638) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2639) sum(n7, n9) = all_4_2
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (2631), (2638) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2640) sum(n7, n10) = all_4_7
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (2629), (2637) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2641) sum(n8, n9) = all_4_4
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 51.90/7.99 | | | | | | | | | | | | | | | | simplifying with (128), (2639) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2642) all_4_2 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n10, n7,
% 51.90/7.99 | | | | | | | | | | | | | | | | simplifying with (129), (2640) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2643) all_4_7 = n1
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n9, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | simplifying with (144), (2641) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2644) all_4_4 = n1
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (2633), (2642) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2645) sum(n0, n2) = all_4_0
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REDUCE: (265), (2643), (2644) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | (2646) sum(n1, n1) = all_4_3
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (24), (2645), (2646) are
% 51.90/7.99 | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | Case 2:
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | (2647) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.90/7.99 | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.90/7.99 | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | BETA: splitting (2647) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | Case 1:
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2648) all_4_11 = n7
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (303), (2648) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2649) pred(n7) = all_4_9
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (285), (2648) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2650) succ(n7) = all_4_5
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.90/7.99 | | | | | | | | | | | | | | | | | simplifying with (276), (2650) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2651) all_4_5 = n8
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.90/7.99 | | | | | | | | | | | | | | | | | simplifying with (294), (2649) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2652) all_4_9 = n6
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (264), (2651), (2652) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2653) sum(n6, n8) = all_4_2
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (2631), (2652) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2654) sum(n6, n10) = all_4_7
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (2629), (2651) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2655) sum(n8, n8) = all_4_4
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.90/7.99 | | | | | | | | | | | | | | | | | simplifying with (111), (2653) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2656) all_4_2 = n14
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_7, n10, n6,
% 51.90/7.99 | | | | | | | | | | | | | | | | | simplifying with (113), (2654) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2657) all_4_7 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n8, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | | simplifying with (143), (2655) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2658) all_4_4 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (2633), (2656) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2659) sum(n14, n2) = all_4_0
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REDUCE: (265), (2657), (2658) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2660) sum(n0, n0) = all_4_3
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (233), (2659), (2660) are
% 51.90/7.99 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #117.
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | Case 2:
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | (2661) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.90/7.99 | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.90/7.99 | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | BETA: splitting (2661) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | Case 1:
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2662) all_4_11 = n6
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (303), (2662) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2663) pred(n6) = all_4_9
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (285), (2662) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2664) succ(n6) = all_4_5
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | simplifying with (275), (2664) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2665) all_4_5 = n7
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | simplifying with (293), (2663) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2666) all_4_9 = n5
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (264), (2665), (2666) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2667) sum(n5, n7) = all_4_2
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2666) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2668) sum(n5, n10) = all_4_7
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2665) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2669) sum(n8, n7) = all_4_4
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | simplifying with (94), (2667) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2670) all_4_2 = n12
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n10, n5,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | simplifying with (97), (2668) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2671) all_4_7 = n15
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n7, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | simplifying with (142), (2669) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2672) all_4_4 = n15
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2670) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2673) sum(n12, n2) = all_4_0
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2671), (2672) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2674) sum(n15, n15) = all_4_3
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (201), (262), (2673), (2674) are
% 51.90/7.99 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88.
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | Case 2:
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | (2675) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | BETA: splitting (2675) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2676) all_4_11 = n5
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2676) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2677) pred(n5) = all_4_9
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2676) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2678) succ(n5) = all_4_5
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | simplifying with (274), (2678) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2679) all_4_5 = n6
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | simplifying with (292), (2677) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2680) all_4_9 = n4
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2679), (2680) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2681) sum(n4, n6) = all_4_2
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2680) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2682) sum(n4, n10) = all_4_7
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2679) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2683) sum(n8, n6) = all_4_4
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | simplifying with (77), (2681) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2684) all_4_2 = n10
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n10, n4,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | simplifying with (81), (2682) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2685) all_4_7 = n14
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n6, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | simplifying with (141), (2683) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2686) all_4_4 = n14
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2684) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2687) sum(n10, n2) = all_4_0
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2685), (2686) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2688) sum(n14, n14) = all_4_3
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (245), (2687), (2688) are
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | (2689) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (2689) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2690) all_4_11 = n4
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2690) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2691) pred(n4) = all_4_9
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2690) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2692) succ(n4) = all_4_5
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | simplifying with (273), (2692) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2693) all_4_5 = n5
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | simplifying with (291), (2691) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2694) all_4_9 = n3
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2693), (2694) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2695) sum(n3, n5) = all_4_2
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2694) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2696) sum(n3, n10) = all_4_7
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2693) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2697) sum(n8, n5) = all_4_4
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | simplifying with (60), (2695) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2698) all_4_2 = n8
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n10, n3,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | simplifying with (65), (2696) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2699) all_4_7 = n13
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n5, n8,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | simplifying with (140), (2697) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2700) all_4_4 = n13
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2698) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2701) sum(n8, n2) = all_4_0
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2699), (2700) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2702) sum(n13, n13) = all_4_3
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (137), (228), (2701), (2702) are
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | (2703) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2704) all_4_11 = n3
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2704) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2705) pred(n3) = all_4_9
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2704) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2706) succ(n3) = all_4_5
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (2706) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2707) all_4_5 = n4
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2705) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2708) all_4_9 = n2
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2707), (2708) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2709) sum(n2, n4) = all_4_2
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2708) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2710) sum(n2, n10) = all_4_7
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2707) imply:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2711) sum(n8, n4) = all_4_4
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (2709) gives:
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | | (2712) all_4_2 = n6
% 51.90/7.99 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n10, n2,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (2710) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | (2713) all_4_7 = n12
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n4, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | simplifying with (139), (2711) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | (2714) all_4_4 = n12
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2712) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | (2715) sum(n6, n2) = all_4_0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2713), (2714) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | (2716) sum(n12, n12) = all_4_3
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (105), (211), (2715), (2716) are
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | (2717) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2718) all_4_11 = n2
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2718) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2719) pred(n2) = all_4_9
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2718) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2720) succ(n2) = all_4_5
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2720) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2721) all_4_5 = n3
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2719) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2722) all_4_9 = n1
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2721), (2722) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2723) sum(n1, n3) = all_4_2
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2722) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2724) sum(n1, n10) = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2721) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2725) sum(n8, n3) = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2723) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2726) all_4_2 = n4
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n10, n1,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (33), (2724) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2727) all_4_7 = n11
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n3, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | simplifying with (138), (2725) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2728) all_4_4 = n11
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2726) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2729) sum(n4, n2) = all_4_0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2727), (2728) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2730) sum(n11, n11) = all_4_3
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (73), (194), (2729), (2730) are
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | (2731) all_4_11 = n1 | all_4_11 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2731) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2732) all_4_11 = n1
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2732) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2733) pred(n1) = all_4_9
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2732) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2734) succ(n1) = all_4_5
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2734) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2735) all_4_5 = n2
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2733) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2736) all_4_9 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2735), (2736) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2737) sum(n0, n2) = all_4_2
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2736) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2738) sum(n0, n10) = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2735) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2739) sum(n8, n2) = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2737) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2740) all_4_2 = n2
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n10, n0,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (2738) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2741) all_4_7 = n10
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n2, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (137), (2739) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2742) all_4_4 = n10
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2740) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2743) sum(n2, n2) = all_4_0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2741), (2742) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2744) sum(n10, n10) = all_4_3
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (177), (2743), (2744) are
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2745) all_4_11 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2745) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2746) pred(n0) = all_4_9
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2745) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2747) succ(n0) = all_4_5
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2747) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2748) all_4_5 = n1
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2746) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2749) all_4_9 = n15
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2748), (2749) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2750) sum(n15, n1) = all_4_2
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2631), (2749) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2751) sum(n15, n10) = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2629), (2748) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2752) sum(n8, n1) = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n1, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (136), (2752) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2753) all_4_4 = n9
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2750) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2754) all_4_2 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n10, n15,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (257), (2751) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2755) all_4_7 = n9
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2754) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2756) sum(n0, n2) = all_4_0
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2753), (2755) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | (2757) sum(n9, n9) = all_4_3
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (160), (2756), (2757) are
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | End of split
% 51.90/8.00 | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | Case 2:
% 51.90/8.00 | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | (2758) all_4_10 = n8 | all_4_10 = n7 | all_4_10 = n6 |
% 51.90/8.00 | | | | | | | | | | | | | | | all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.90/8.00 | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.00 | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 51.90/8.00 | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | Case 1:
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | (2759) all_4_11 = n8
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | REDUCE: (303), (2759) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2760) pred(n8) = all_4_9
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | REDUCE: (285), (2759) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2761) succ(n8) = all_4_5
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_5, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | simplifying with (277), (2761) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2762) all_4_5 = n9
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_9, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | simplifying with (295), (2760) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2763) all_4_9 = n7
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | REDUCE: (267), (2762) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2764) sum(all_4_6, n9) = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | REDUCE: (264), (2762), (2763) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2765) sum(n7, n9) = all_4_2
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | REDUCE: (263), (2763) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2766) sum(n7, all_4_8) = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n9, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | simplifying with (128), (2765) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2767) all_4_2 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | REDUCE: (268), (2767) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | (2768) sum(n0, all_4_1) = all_4_0
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | BETA: splitting (2758) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2769) all_4_10 = n8
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | REDUCE: (304), (2769) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2770) pred(n8) = all_4_6
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | REDUCE: (286), (2769) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2771) succ(n8) = all_4_8
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | | simplifying with (277), (2771) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2772) all_4_8 = n9
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 51.90/8.00 | | | | | | | | | | | | | | | | | simplifying with (295), (2770) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2773) all_4_6 = n7
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | REDUCE: (266), (2772), (2773) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2774) sum(n7, n9) = all_4_1
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | REDUCE: (2764), (2773) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2775) sum(n7, n9) = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | REDUCE: (2766), (2772) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2776) sum(n7, n9) = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n9, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | | simplifying with (128), (2775) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2777) all_4_4 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n9, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | | simplifying with (2774), (2775) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2778) all_4_1 = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n9, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | | simplifying with (2774), (2776) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2779) all_4_1 = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (265), (2768), (2777), (2778),
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2779) are inconsistent by sub-proof #2.
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | (2780) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.90/8.00 | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.90/8.00 | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | BETA: splitting (2780) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2781) all_4_10 = n7
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (304), (2781) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2782) pred(n7) = all_4_6
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (286), (2781) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2783) succ(n7) = all_4_8
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | simplifying with (276), (2783) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2784) all_4_8 = n8
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | simplifying with (294), (2782) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2785) all_4_6 = n6
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (266), (2784), (2785) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2786) sum(n6, n8) = all_4_1
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2785) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2787) sum(n6, n9) = all_4_4
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2784) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2788) sum(n7, n8) = all_4_7
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | simplifying with (111), (2786) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2789) all_4_1 = n14
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n9, n6,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | simplifying with (112), (2787) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2790) all_4_4 = n15
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n8, n7,
% 51.90/8.00 | | | | | | | | | | | | | | | | | | simplifying with (127), (2788) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2791) all_4_7 = n15
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2790), (2791) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2792) sum(n15, n15) = all_4_3
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2789) imply:
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2793) sum(n0, n14) = all_4_0
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (262), (2792), (2793) are
% 51.90/8.00 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | (2794) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives:
% 51.90/8.00 | | | | | | | | | | | | | | | | | |
% 51.90/8.00 | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2795) all_4_10 = n6
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2795) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2796) pred(n6) = all_4_6
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2795) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2797) succ(n6) = all_4_8
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | simplifying with (275), (2797) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2798) all_4_8 = n7
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | simplifying with (293), (2796) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2799) all_4_6 = n5
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2798), (2799) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2800) sum(n5, n7) = all_4_1
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2799) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2801) sum(n5, n9) = all_4_4
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2798) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2802) sum(n7, n7) = all_4_7
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | simplifying with (94), (2800) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2803) all_4_1 = n12
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n9, n5,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | simplifying with (96), (2801) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2804) all_4_4 = n14
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n7, n7,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | simplifying with (126), (2802) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2805) all_4_7 = n14
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2804), (2805) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2806) sum(n14, n14) = all_4_3
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2803) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2807) sum(n0, n12) = all_4_0
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (245), (2806), (2807) are
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75.
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | (2808) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (2808) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2809) all_4_10 = n5
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2809) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2810) pred(n5) = all_4_6
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2809) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2811) succ(n5) = all_4_8
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | simplifying with (274), (2811) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2812) all_4_8 = n6
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | simplifying with (292), (2810) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2813) all_4_6 = n4
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2812), (2813) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2814) sum(n4, n6) = all_4_1
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2813) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2815) sum(n4, n9) = all_4_4
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2812) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2816) sum(n7, n6) = all_4_7
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | simplifying with (77), (2814) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2817) all_4_1 = n10
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n9, n4,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | simplifying with (80), (2815) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2818) all_4_4 = n13
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n6, n7,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | simplifying with (125), (2816) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2819) all_4_7 = n13
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2818), (2819) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2820) sum(n13, n13) = all_4_3
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2817) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2821) sum(n0, n10) = all_4_0
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (228), (2820), (2821) are
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | (2822) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2822) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2823) all_4_10 = n4
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2823) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2824) pred(n4) = all_4_6
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2823) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2825) succ(n4) = all_4_8
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (2825) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2826) all_4_8 = n5
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (2824) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2827) all_4_6 = n3
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2826), (2827) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2828) sum(n3, n5) = all_4_1
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2827) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2829) sum(n3, n9) = all_4_4
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2826) imply:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2830) sum(n7, n5) = all_4_7
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (2828) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2831) all_4_1 = n8
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n9, n3,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (64), (2829) gives:
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | (2832) all_4_4 = n12
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n5, n7,
% 51.90/8.01 | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (2830) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | (2833) all_4_7 = n12
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2832), (2833) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | (2834) sum(n12, n12) = all_4_3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2831) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | (2835) sum(n0, n8) = all_4_0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (211), (2834), (2835) are
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | (2836) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2837) all_4_10 = n3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2837) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2838) pred(n3) = all_4_6
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2837) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2839) succ(n3) = all_4_8
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (2839) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2840) all_4_8 = n4
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2838) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2841) all_4_6 = n2
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2840), (2841) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2842) sum(n2, n4) = all_4_1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2841) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2843) sum(n2, n9) = all_4_4
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2840) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2844) sum(n7, n4) = all_4_7
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (2842) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2845) all_4_1 = n6
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n9, n2,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (2843) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2846) all_4_4 = n11
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n4, n7,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (2844) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2847) all_4_7 = n11
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2846), (2847) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2848) sum(n11, n11) = all_4_3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2845) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2849) sum(n0, n6) = all_4_0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (194), (2848), (2849) are
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | (2850) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2850) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2851) all_4_10 = n2
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2851) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2852) pred(n2) = all_4_6
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2851) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2853) succ(n2) = all_4_8
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2853) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2854) all_4_8 = n3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2852) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2855) all_4_6 = n1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2854), (2855) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2856) sum(n1, n3) = all_4_1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2855) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2857) sum(n1, n9) = all_4_4
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2854) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2858) sum(n7, n3) = all_4_7
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2856) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2859) all_4_1 = n4
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n9, n1,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (2857) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2860) all_4_4 = n10
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n3, n7,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (2858) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2861) all_4_7 = n10
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2860), (2861) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2862) sum(n10, n10) = all_4_3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2859) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2863) sum(n0, n4) = all_4_0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (177), (2862), (2863) are
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | (2864) all_4_10 = n1 | all_4_10 = n0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2864) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_4_10 = n1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2865) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2866) pred(n1) = all_4_6
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2865) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2867) succ(n1) = all_4_8
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2867) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_4_8 = n2
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2866) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_4_6 = n0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2868), (2869) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2870) sum(n0, n2) = all_4_1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2869) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2871) sum(n0, n9) = all_4_4
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2868) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2872) sum(n7, n2) = all_4_7
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2870) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_4_1 = n2
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n9, n0,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (2871) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_4_4 = n9
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n2, n7,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (2872) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_4_7 = n9
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2874), (2875) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2876) sum(n9, n9) = all_4_3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2873) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2877) sum(n0, n2) = all_4_0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (160), (2876), (2877) are
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_4_10 = n0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (2878) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2879) pred(n0) = all_4_6
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (2878) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2880) succ(n0) = all_4_8
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (2880) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_4_8 = n1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (2879) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_4_6 = n15
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (2881), (2882) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2883) sum(n15, n1) = all_4_1
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2764), (2882) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2884) sum(n15, n9) = all_4_4
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2766), (2881) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2885) sum(n7, n1) = all_4_7
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n1, n7,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (2885) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_4_7 = n8
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (2883) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_4_1 = n0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n9, n15,
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (256), (2884) gives:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_4_4 = n8
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2886), (2888) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2889) sum(n8, n8) = all_4_3
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2768), (2887) imply:
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | (2890) sum(n0, n0) = all_4_0
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (143), (2889), (2890) are
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | | End of split
% 51.90/8.02 | | | | | | | | | | | | | | | |
% 51.90/8.02 | | | | | | | | | | | | | | | Case 2:
% 51.90/8.02 | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | (2891) all_4_11 = n7 | all_4_11 = n6 | all_4_11 = n5 |
% 51.90/8.03 | | | | | | | | | | | | | | | | all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.90/8.03 | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | BETA: splitting (2758) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2892) all_4_10 = n8
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | REDUCE: (304), (2892) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2893) pred(n8) = all_4_6
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | REDUCE: (286), (2892) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2894) succ(n8) = all_4_8
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n9, all_4_8, n8,
% 51.90/8.03 | | | | | | | | | | | | | | | | | simplifying with (277), (2894) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2895) all_4_8 = n9
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n7, all_4_6, n8,
% 51.90/8.03 | | | | | | | | | | | | | | | | | simplifying with (295), (2893) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2896) all_4_6 = n7
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | REDUCE: (267), (2896) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2897) sum(n7, all_4_5) = all_4_4
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | REDUCE: (266), (2895), (2896) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2898) sum(n7, n9) = all_4_1
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | REDUCE: (263), (2895) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2899) sum(all_4_9, n9) = all_4_7
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n9, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | simplifying with (128), (2898) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2900) all_4_1 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | REDUCE: (268), (2900) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | (2901) sum(all_4_2, n0) = all_4_0
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | BETA: splitting (2891) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2902) all_4_11 = n7
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (303), (2902) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2903) pred(n7) = all_4_9
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (285), (2902) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2904) succ(n7) = all_4_5
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | simplifying with (276), (2904) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2905) all_4_5 = n8
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | simplifying with (294), (2903) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2906) all_4_9 = n6
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (264), (2905), (2906) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2907) sum(n6, n8) = all_4_2
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2906) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2908) sum(n6, n9) = all_4_7
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2905) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2909) sum(n7, n8) = all_4_4
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | simplifying with (111), (2907) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2910) all_4_2 = n14
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_7, n9, n6,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | simplifying with (112), (2908) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2911) all_4_7 = n15
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n15, all_4_4, n8, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | simplifying with (127), (2909) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2912) all_4_4 = n15
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2910) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2913) sum(n14, n0) = all_4_0
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REDUCE: (265), (2911), (2912) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2914) sum(n15, n15) = all_4_3
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (231), (262), (2913), (2914) are
% 51.90/8.03 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | (2915) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | BETA: splitting (2915) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2916) all_4_11 = n6
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2916) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2917) pred(n6) = all_4_9
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2916) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2918) succ(n6) = all_4_5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | simplifying with (275), (2918) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2919) all_4_5 = n7
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | simplifying with (293), (2917) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2920) all_4_9 = n5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2919), (2920) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2921) sum(n5, n7) = all_4_2
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2920) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2922) sum(n5, n9) = all_4_7
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2919) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2923) sum(n7, n7) = all_4_4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | simplifying with (94), (2921) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2924) all_4_2 = n12
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_7, n9, n5,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | simplifying with (96), (2922) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2925) all_4_7 = n14
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n7, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | simplifying with (126), (2923) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2926) all_4_4 = n14
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2924) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2927) sum(n12, n0) = all_4_0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2925), (2926) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2928) sum(n14, n14) = all_4_3
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (199), (245), (2927), (2928) are
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | (2929) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (2929) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2930) all_4_11 = n5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2930) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2931) pred(n5) = all_4_9
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2930) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2932) succ(n5) = all_4_5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | simplifying with (274), (2932) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2933) all_4_5 = n6
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | simplifying with (292), (2931) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2934) all_4_9 = n4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2933), (2934) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2935) sum(n4, n6) = all_4_2
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2934) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2936) sum(n4, n9) = all_4_7
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2933) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2937) sum(n7, n6) = all_4_4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | simplifying with (77), (2935) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2938) all_4_2 = n10
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n9, n4,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | simplifying with (80), (2936) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2939) all_4_7 = n13
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n6, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | simplifying with (125), (2937) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2940) all_4_4 = n13
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2938) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2941) sum(n10, n0) = all_4_0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2939), (2940) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2942) sum(n13, n13) = all_4_3
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (167), (228), (2941), (2942) are
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | (2943) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2943) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2944) all_4_11 = n4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2944) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2945) pred(n4) = all_4_9
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2944) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2946) succ(n4) = all_4_5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (2946) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2947) all_4_5 = n5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (2945) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2948) all_4_9 = n3
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2947), (2948) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2949) sum(n3, n5) = all_4_2
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2948) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2950) sum(n3, n9) = all_4_7
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2947) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2951) sum(n7, n5) = all_4_4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (2949) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2952) all_4_2 = n8
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n9, n3,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (64), (2950) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2953) all_4_7 = n12
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n5, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | simplifying with (124), (2951) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2954) all_4_4 = n12
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2952) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2955) sum(n8, n0) = all_4_0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2953), (2954) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2956) sum(n12, n12) = all_4_3
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (135), (211), (2955), (2956) are
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #41.
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | (2957) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2957) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2958) all_4_11 = n3
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2958) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2959) pred(n3) = all_4_9
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2958) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2960) succ(n3) = all_4_5
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (2960) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2961) all_4_5 = n4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (2959) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2962) all_4_9 = n2
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2961), (2962) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2963) sum(n2, n4) = all_4_2
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2962) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2964) sum(n2, n9) = all_4_7
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2961) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2965) sum(n7, n4) = all_4_4
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (2963) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2966) all_4_2 = n6
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n9, n2,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (2964) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2967) all_4_7 = n11
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n4, n7,
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | simplifying with (123), (2965) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2968) all_4_4 = n11
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2966) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2969) sum(n6, n0) = all_4_0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2967), (2968) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2970) sum(n11, n11) = all_4_3
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (103), (194), (2969), (2970) are
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | (2971) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | | (2972) all_4_11 = n2
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2972) imply:
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | | (2973) pred(n2) = all_4_9
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2972) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2974) succ(n2) = all_4_5
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (2974) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2975) all_4_5 = n3
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (2973) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2976) all_4_9 = n1
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2975), (2976) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2977) sum(n1, n3) = all_4_2
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2976) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2978) sum(n1, n9) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2975) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2979) sum(n7, n3) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (2977) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2980) all_4_2 = n4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n9, n1,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (32), (2978) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2981) all_4_7 = n10
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n3, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (122), (2979) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2982) all_4_4 = n10
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2980) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2983) sum(n4, n0) = all_4_0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2981), (2982) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2984) sum(n10, n10) = all_4_3
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (71), (177), (2983), (2984) are
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | (2985) all_4_11 = n1 | all_4_11 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2985) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_4_11 = n1
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2986) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2987) pred(n1) = all_4_9
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2986) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2988) succ(n1) = all_4_5
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (2988) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_4_5 = n2
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (2987) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_4_9 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (2989), (2990) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2991) sum(n0, n2) = all_4_2
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (2990) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2992) sum(n0, n9) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (2989) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2993) sum(n7, n2) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (2991) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_4_2 = n2
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n9, n0,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (2992) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_4_7 = n9
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n2, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (121), (2993) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_4_4 = n9
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (2994) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2997) sum(n2, n0) = all_4_0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (2995), (2996) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2998) sum(n9, n9) = all_4_3
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (39), (160), (2997), (2998) are
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_4_11 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2999) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3000) pred(n0) = all_4_9
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (2999) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3001) succ(n0) = all_4_5
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3001) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_4_5 = n1
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3000) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_4_9 = n15
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3002), (3003) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3004) sum(n15, n1) = all_4_2
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2899), (3003) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3005) sum(n15, n9) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2897), (3002) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3006) sum(n7, n1) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n1, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (3006) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_4_4 = n8
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3004) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_4_2 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n9, n15,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (256), (3005) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_4_7 = n8
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2901), (3008) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3010) sum(n0, n0) = all_4_0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (3007), (3009) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | (3011) sum(n8, n8) = all_4_3
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (143), (3010), (3011) are
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | End of split
% 51.90/8.04 | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.04 | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | (3012) all_4_10 = n7 | all_4_10 = n6 | all_4_10 = n5 |
% 51.90/8.04 | | | | | | | | | | | | | | | | | all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.90/8.04 | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | BETA: splitting (2891) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3013) all_4_11 = n7
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | REDUCE: (303), (3013) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3014) pred(n7) = all_4_9
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | REDUCE: (285), (3013) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3015) succ(n7) = all_4_5
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_5, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | simplifying with (276), (3015) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3016) all_4_5 = n8
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_9, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | simplifying with (294), (3014) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3017) all_4_9 = n6
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | REDUCE: (267), (3016) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3018) sum(all_4_6, n8) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | REDUCE: (264), (3016), (3017) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3019) sum(n6, n8) = all_4_2
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | REDUCE: (263), (3017) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3020) sum(n6, all_4_8) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_2, n8, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | simplifying with (111), (3019) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3021) all_4_2 = n14
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | REDUCE: (268), (3021) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | (3022) sum(n14, all_4_1) = all_4_0
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3023) all_4_10 = n7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3023) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3024) pred(n7) = all_4_6
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3023) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3025) succ(n7) = all_4_8
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | simplifying with (276), (3025) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3026) all_4_8 = n8
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | simplifying with (294), (3024) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3027) all_4_6 = n6
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3026), (3027) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3028) sum(n6, n8) = all_4_1
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3027) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3029) sum(n6, n8) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3026) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3030) sum(n6, n8) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_4, n8, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | simplifying with (111), (3029) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3031) all_4_4 = n14
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n8, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | simplifying with (3028), (3029) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3032) all_4_1 = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n8, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | simplifying with (3028), (3030) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3033) all_4_1 = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (245), (265), (3022), (3031), (3032),
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3033) are inconsistent by sub-proof #131.
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | (3034) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (3034) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3035) all_4_10 = n6
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3035) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3036) pred(n6) = all_4_6
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3035) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3037) succ(n6) = all_4_8
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | simplifying with (275), (3037) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3038) all_4_8 = n7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | simplifying with (293), (3036) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3039) all_4_6 = n5
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3038), (3039) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3040) sum(n5, n7) = all_4_1
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3039) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3041) sum(n5, n8) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3038) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3042) sum(n6, n7) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | simplifying with (94), (3040) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3043) all_4_1 = n12
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n8, n5,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | simplifying with (95), (3041) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3044) all_4_4 = n13
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n7, n6,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | simplifying with (110), (3042) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3045) all_4_7 = n13
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (228), (243), (265), (3022), (3043),
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3044), (3045) are inconsistent by sub-proof #130.
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | (3046) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3046) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3047) all_4_10 = n5
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3047) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3048) pred(n5) = all_4_6
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3047) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3049) succ(n5) = all_4_8
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3049) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3050) all_4_8 = n6
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3048) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3051) all_4_6 = n4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3050), (3051) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3052) sum(n4, n6) = all_4_1
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3051) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3053) sum(n4, n8) = all_4_4
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3050) imply:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3054) sum(n6, n6) = all_4_7
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3052) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3055) all_4_1 = n10
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n8, n4,
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (79), (3053) gives:
% 51.90/8.04 | | | | | | | | | | | | | | | | | | | | | (3056) all_4_4 = n12
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n6, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | simplifying with (109), (3054) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | (3057) all_4_7 = n12
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (211), (241), (265), (3022), (3055),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | (3056), (3057) are inconsistent by sub-proof #129.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | (3058) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3059) all_4_10 = n4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3059) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3060) pred(n4) = all_4_6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3059) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3061) succ(n4) = all_4_8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3061) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3062) all_4_8 = n5
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3060) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3063) all_4_6 = n3
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3062), (3063) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3064) sum(n3, n5) = all_4_1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3063) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3065) sum(n3, n8) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3062) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3066) sum(n6, n5) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3064) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3067) all_4_1 = n8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n8, n3,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (3065) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3068) all_4_4 = n11
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n5, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | simplifying with (108), (3066) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3069) all_4_7 = n11
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (194), (239), (265), (3022), (3067),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3068), (3069) are inconsistent by sub-proof #128.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | (3070) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3070) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3071) all_4_10 = n3
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3071) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3072) pred(n3) = all_4_6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3071) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3073) succ(n3) = all_4_8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3073) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3074) all_4_8 = n4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3072) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3075) all_4_6 = n2
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3074), (3075) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3076) sum(n2, n4) = all_4_1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3075) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3077) sum(n2, n8) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3074) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3078) sum(n6, n4) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3076) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3079) all_4_1 = n6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n8, n2,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (47), (3077) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3080) all_4_4 = n10
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n4, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3078) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3081) all_4_7 = n10
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (237), (265), (3022), (3079),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3080), (3081) are inconsistent by sub-proof #127.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | (3082) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3082) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_4_10 = n2
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3083) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3084) pred(n2) = all_4_6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3083) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3085) succ(n2) = all_4_8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3085) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_4_8 = n3
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3084) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_4_6 = n1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3086), (3087) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3088) sum(n1, n3) = all_4_1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3087) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3089) sum(n1, n8) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3086) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3090) sum(n6, n3) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3088) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_4_1 = n4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n8, n1,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (3089) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_4_4 = n9
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n3, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (3090) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_4_7 = n9
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (160), (235), (265), (3022), (3091),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3092), (3093) are inconsistent by sub-proof #126.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_4_10 = n1 | all_4_10 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3094) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_4_10 = n1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3095) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3096) pred(n1) = all_4_6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3095) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3097) succ(n1) = all_4_8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3097) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_4_8 = n2
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3096) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_4_6 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3098), (3099) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3100) sum(n0, n2) = all_4_1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3099) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3101) sum(n0, n8) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3098) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3102) sum(n6, n2) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3100) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_4_1 = n2
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n8, n0,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (3101) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_4_4 = n8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n2, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (105), (3102) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_4_7 = n8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (143), (233), (265), (3022), (3103),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3104), (3105) are inconsistent by sub-proof #125.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_4_10 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3106) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3107) pred(n0) = all_4_6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3106) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3108) succ(n0) = all_4_8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3108) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_4_8 = n1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3107) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_4_6 = n15
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3109), (3110) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3111) sum(n15, n1) = all_4_1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3018), (3110) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3112) sum(n15, n8) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3109) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3113) sum(n6, n1) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n1, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (104), (3113) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_4_7 = n7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3111) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_4_1 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n8, n15,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (255), (3112) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_4_4 = n7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (126), (231), (265), (3022), (3114),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | | (3115), (3116) are inconsistent by sub-proof #124.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.05 | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | (3117) all_4_11 = n6 | all_4_11 = n5 | all_4_11 = n4 |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.90/8.05 | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3118) all_4_10 = n7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3118) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3119) pred(n7) = all_4_6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3118) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3120) succ(n7) = all_4_8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n8, all_4_8, n7,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | simplifying with (276), (3120) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3121) all_4_8 = n8
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n6, all_4_6, n7,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | simplifying with (294), (3119) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3122) all_4_6 = n6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3122) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3123) sum(n6, all_4_5) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3121), (3122) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3124) sum(n6, n8) = all_4_1
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3121) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3125) sum(all_4_9, n8) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n14, all_4_1, n8, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | simplifying with (111), (3124) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3126) all_4_1 = n14
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3126) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | (3127) sum(all_4_2, n14) = all_4_0
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (3117) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3128) all_4_11 = n6
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3128) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3129) pred(n6) = all_4_9
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3128) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3130) succ(n6) = all_4_5
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | simplifying with (275), (3130) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3131) all_4_5 = n7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | simplifying with (293), (3129) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3132) all_4_9 = n5
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3131), (3132) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3133) sum(n5, n7) = all_4_2
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3132) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3134) sum(n5, n8) = all_4_7
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3131) imply:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3135) sum(n6, n7) = all_4_4
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | simplifying with (94), (3133) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3136) all_4_2 = n12
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_7, n8, n5,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | simplifying with (95), (3134) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3137) all_4_7 = n13
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n13, all_4_4, n7, n6,
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | simplifying with (110), (3135) gives:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3138) all_4_4 = n13
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (213), (228), (265), (3127), (3136),
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | | (3137), (3138) are inconsistent by sub-proof #115.
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.05 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3139) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3140) all_4_11 = n5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3140) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3141) pred(n5) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3140) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3142) succ(n5) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3142) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3143) all_4_5 = n6
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3141) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3144) all_4_9 = n4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3143), (3144) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3145) sum(n4, n6) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3144) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3146) sum(n4, n8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3143) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3147) sum(n6, n6) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3145) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3148) all_4_2 = n10
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_7, n8, n4,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (79), (3146) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3149) all_4_7 = n12
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n6, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (109), (3147) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3150) all_4_4 = n12
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (181), (211), (265), (3127), (3148),
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3149), (3150) are inconsistent by sub-proof #114.
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3151) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3151) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3152) all_4_11 = n4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3152) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3153) pred(n4) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3152) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3154) succ(n4) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3154) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3155) all_4_5 = n5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3153) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3156) all_4_9 = n3
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3155), (3156) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3157) sum(n3, n5) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3156) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3158) sum(n3, n8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3155) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3159) sum(n6, n5) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3157) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3160) all_4_2 = n8
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n8, n3,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (3158) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3161) all_4_7 = n11
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n5, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | simplifying with (108), (3159) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3162) all_4_4 = n11
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (149), (194), (265), (3127), (3160),
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3161), (3162) are inconsistent by sub-proof #113.
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | (3163) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3164) all_4_11 = n3
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3164) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3165) pred(n3) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3164) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3166) succ(n3) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3166) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3167) all_4_5 = n4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3165) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3168) all_4_9 = n2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3167), (3168) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3169) sum(n2, n4) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3168) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3170) sum(n2, n8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3167) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3171) sum(n6, n4) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3169) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3172) all_4_2 = n6
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n8, n2,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (47), (3170) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3173) all_4_7 = n10
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n4, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (107), (3171) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3174) all_4_4 = n10
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (117), (177), (265), (3127), (3172),
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3173), (3174) are inconsistent by sub-proof #112.
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | (3175) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_4_11 = n2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3176) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3177) pred(n2) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3176) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3178) succ(n2) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3178) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_4_5 = n3
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3177) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_4_9 = n1
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3179), (3180) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3181) sum(n1, n3) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3180) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3182) sum(n1, n8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3179) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3183) sum(n6, n3) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3181) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3184) all_4_2 = n4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n8, n1,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (3182) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3185) all_4_7 = n9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n3, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (106), (3183) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_4_4 = n9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (85), (160), (265), (3127), (3184),
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3185), (3186) are inconsistent by sub-proof #111.
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_4_11 = n1 | all_4_11 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3187) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_4_11 = n1
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3188) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3189) pred(n1) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3188) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3190) succ(n1) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3190) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_4_5 = n2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3189) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_4_9 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3191), (3192) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3193) sum(n0, n2) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3192) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3194) sum(n0, n8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3191) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3195) sum(n6, n2) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3193) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_4_2 = n2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n8, n0,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (3194) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3197) all_4_7 = n8
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n2, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (105), (3195) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3198) all_4_4 = n8
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (53), (143), (265), (3127), (3196),
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3197), (3198) are inconsistent by sub-proof #110.
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_4_11 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3199) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3200) pred(n0) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3199) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3201) succ(n0) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3201) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_4_5 = n1
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3200) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_4_9 = n15
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3202), (3203) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3204) sum(n15, n1) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3203) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3205) sum(n15, n8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3123), (3202) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3206) sum(n6, n1) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n1, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (104), (3206) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_4_4 = n7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3204) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_4_2 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n8, n15,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (255), (3205) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_4_7 = n7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (21), (126), (265), (3127), (3207),
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | | (3208), (3209) are inconsistent by sub-proof #109.
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | End of split
% 51.90/8.06 | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | (3210) all_4_10 = n6 | all_4_10 = n5 | all_4_10 = n4 |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (3117) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3211) all_4_11 = n6
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3211) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3212) pred(n6) = all_4_9
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3211) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3213) succ(n6) = all_4_5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_5, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | simplifying with (275), (3213) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3214) all_4_5 = n7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_9, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | simplifying with (293), (3212) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3215) all_4_9 = n5
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3214) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3216) sum(all_4_6, n7) = all_4_4
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3214), (3215) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3217) sum(n5, n7) = all_4_2
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3215) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3218) sum(n5, all_4_8) = all_4_7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_2, n7, n5,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | simplifying with (94), (3217) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3219) all_4_2 = n12
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3219) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | (3220) sum(n12, all_4_1) = all_4_0
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3210) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3221) all_4_10 = n6
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3221) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3222) pred(n6) = all_4_6
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3221) imply:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3223) succ(n6) = all_4_8
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | simplifying with (275), (3223) gives:
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | | (3224) all_4_8 = n7
% 51.90/8.06 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (293), (3222) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3225) all_4_6 = n5
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3224), (3225) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3226) sum(n5, n7) = all_4_1
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3225) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3227) sum(n5, n7) = all_4_4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3224) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3228) sum(n5, n7) = all_4_7
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_4, n7, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (3227) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3229) all_4_4 = n12
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n7, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (3226), (3227) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3230) all_4_1 = all_4_4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n7, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (3226), (3228) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3231) all_4_1 = all_4_7
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (211), (265), (3220), (3229), (3230),
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3231) are inconsistent by sub-proof #100.
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | (3232) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3232) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3233) all_4_10 = n5
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3233) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3234) pred(n5) = all_4_6
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3233) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3235) succ(n5) = all_4_8
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3235) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3236) all_4_8 = n6
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3234) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3237) all_4_6 = n4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3236), (3237) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3238) sum(n4, n6) = all_4_1
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3237) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3239) sum(n4, n7) = all_4_4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3236) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3240) sum(n5, n6) = all_4_7
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3238) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3241) all_4_1 = n10
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n7, n4,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (3239) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3242) all_4_4 = n11
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n6, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | simplifying with (93), (3240) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3243) all_4_7 = n11
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (194), (209), (265), (3220), (3241),
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3242), (3243) are inconsistent by sub-proof #99.
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | (3244) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3244) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3245) all_4_10 = n4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3245) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3246) pred(n4) = all_4_6
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3245) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3247) succ(n4) = all_4_8
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3247) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3248) all_4_8 = n5
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3246) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3249) all_4_6 = n3
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3248), (3249) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3250) sum(n3, n5) = all_4_1
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3249) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3251) sum(n3, n7) = all_4_4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3248) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3252) sum(n5, n5) = all_4_7
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3250) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3253) all_4_1 = n8
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n7, n3,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (3251) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3254) all_4_4 = n10
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n5, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (92), (3252) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3255) all_4_7 = n10
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (207), (265), (3220), (3253),
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3254), (3255) are inconsistent by sub-proof #98.
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | (3256) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3256) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_4_10 = n3
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3257) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3258) pred(n3) = all_4_6
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3257) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3259) succ(n3) = all_4_8
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3259) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_4_8 = n4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3258) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_4_6 = n2
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3260), (3261) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3262) sum(n2, n4) = all_4_1
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3261) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3263) sum(n2, n7) = all_4_4
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3260) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3264) sum(n5, n4) = all_4_7
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3262) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_4_1 = n6
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n7, n2,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (46), (3263) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_4_4 = n9
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n4, n5,
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (91), (3264) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_4_7 = n9
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (160), (205), (265), (3220), (3265),
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3266), (3267) are inconsistent by sub-proof #97.
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3268) gives:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_4_10 = n2
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3269) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3270) pred(n2) = all_4_6
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3269) imply:
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3271) succ(n2) = all_4_8
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.90/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3271) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_4_8 = n3
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3270) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_4_6 = n1
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3272), (3273) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3274) sum(n1, n3) = all_4_1
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3273) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3275) sum(n1, n7) = all_4_4
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3272) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3276) sum(n5, n3) = all_4_7
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3274) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_4_1 = n4
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n7, n1,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (3275) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3278) all_4_4 = n8
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n3, n5,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (3276) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_4_7 = n8
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (143), (203), (265), (3220), (3277),
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3278), (3279) are inconsistent by sub-proof #96.
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_4_10 = n1 | all_4_10 = n0
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3280) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_4_10 = n1
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3281) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) pred(n1) = all_4_6
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3281) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) succ(n1) = all_4_8
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3283) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_4_8 = n2
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3282) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_4_6 = n0
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3284), (3285) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) sum(n0, n2) = all_4_1
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3285) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) sum(n0, n7) = all_4_4
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3284) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) sum(n5, n2) = all_4_7
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3286) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_4_1 = n2
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n7, n0,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (3287) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) all_4_4 = n7
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n2, n5,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (89), (3288) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) all_4_7 = n7
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (126), (201), (265), (3220), (3289),
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3290), (3291) are inconsistent by sub-proof #95.
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_4_10 = n0
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3292) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) pred(n0) = all_4_6
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3292) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) succ(n0) = all_4_8
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3294) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_4_8 = n1
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3293) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) all_4_6 = n15
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3295), (3296) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) sum(n15, n1) = all_4_1
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3216), (3296) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) sum(n15, n7) = all_4_4
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3218), (3295) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) sum(n5, n1) = all_4_7
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n1, n5,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (88), (3299) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_4_7 = n6
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3297) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_4_1 = n0
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n7, n15,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (254), (3298) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_4_4 = n6
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (199), (265), (3220), (3300),
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (3301), (3302) are inconsistent by sub-proof #94.
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | (3303) all_4_11 = n5 | all_4_11 = n4 | all_4_11 = n3 |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3210) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | (3304) all_4_10 = n6
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3304) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | (3305) pred(n6) = all_4_6
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3304) imply:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | (3306) succ(n6) = all_4_8
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n7, all_4_8, n6,
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | simplifying with (275), (3306) gives:
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | | (3307) all_4_8 = n7
% 52.28/8.07 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n5, all_4_6, n6,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (293), (3305) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3308) all_4_6 = n5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3308) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3309) sum(n5, all_4_5) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3307), (3308) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3310) sum(n5, n7) = all_4_1
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3307) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3311) sum(all_4_9, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n12, all_4_1, n7, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | simplifying with (94), (3310) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3312) all_4_1 = n12
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3312) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3313) sum(all_4_2, n12) = all_4_0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3303) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3314) all_4_11 = n5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3314) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3315) pred(n5) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3314) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3316) succ(n5) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3316) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3317) all_4_5 = n6
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3315) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3318) all_4_9 = n4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3317), (3318) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3319) sum(n4, n6) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3318) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3320) sum(n4, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3317) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3321) sum(n5, n6) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3319) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3322) all_4_2 = n10
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_7, n7, n4,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (78), (3320) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3323) all_4_7 = n11
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n11, all_4_4, n6, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (93), (3321) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3324) all_4_4 = n11
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (179), (194), (265), (3313), (3322),
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3323), (3324) are inconsistent by sub-proof #86.
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3325) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3325) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3326) all_4_11 = n4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3326) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3327) pred(n4) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3326) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3328) succ(n4) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3328) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3329) all_4_5 = n5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3327) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3330) all_4_9 = n3
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3329), (3330) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3331) sum(n3, n5) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3330) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3332) sum(n3, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3329) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3333) sum(n5, n5) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3331) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3334) all_4_2 = n8
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_7, n7, n3,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (62), (3332) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3335) all_4_7 = n10
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n5, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (92), (3333) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3336) all_4_4 = n10
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (147), (177), (265), (3313), (3334),
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3335), (3336) are inconsistent by sub-proof #85.
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3337) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3337) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_4_11 = n3
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3338) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3339) pred(n3) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3338) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3340) succ(n3) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3340) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3341) all_4_5 = n4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3339) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_4_9 = n2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3341), (3342) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3343) sum(n2, n4) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3342) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3344) sum(n2, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3341) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3345) sum(n5, n4) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3343) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_4_2 = n6
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n7, n2,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (46), (3344) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_4_7 = n9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n4, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (91), (3345) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_4_4 = n9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (115), (160), (265), (3313), (3346),
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3347), (3348) are inconsistent by sub-proof #84.
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3349) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_4_11 = n2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3350) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3351) pred(n2) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3350) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3352) succ(n2) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3352) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_4_5 = n3
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3351) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_4_9 = n1
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3353), (3354) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3355) sum(n1, n3) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3354) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3356) sum(n1, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3353) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3357) sum(n5, n3) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3355) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_4_2 = n4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n7, n1,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (30), (3356) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_4_7 = n8
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n3, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (90), (3357) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_4_4 = n8
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (83), (143), (265), (3313), (3358),
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3359), (3360) are inconsistent by sub-proof #83.
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_4_11 = n1 | all_4_11 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3361) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_4_11 = n1
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3362) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) pred(n1) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3362) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) succ(n1) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3364) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_4_5 = n2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3363) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_4_9 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3365), (3366) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) sum(n0, n2) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3366) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) sum(n0, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3365) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) sum(n5, n2) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3367) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_4_2 = n2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n7, n0,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (3368) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_4_7 = n7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n2, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (89), (3369) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_4_4 = n7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (126), (265), (3313), (3370),
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3371), (3372) are inconsistent by sub-proof #82.
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_4_11 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3373) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) pred(n0) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3373) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) succ(n0) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3375) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_4_5 = n1
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3374) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_4_9 = n15
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3376), (3377) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) sum(n15, n1) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3311), (3377) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) sum(n15, n7) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3376) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) sum(n5, n1) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n1, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (88), (3380) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_4_4 = n6
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3378) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_4_2 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n7, n15,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (254), (3379) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_4_7 = n6
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (19), (109), (265), (3313), (3381),
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (3382), (3383) are inconsistent by sub-proof #81.
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | (3384) all_4_10 = n5 | all_4_10 = n4 | all_4_10 = n3 |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3303) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3385) all_4_11 = n5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3385) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3386) pred(n5) = all_4_9
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3385) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3387) succ(n5) = all_4_5
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_5, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3387) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3388) all_4_5 = n6
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_9, n5,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3386) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3389) all_4_9 = n4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3388) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3390) sum(all_4_6, n6) = all_4_4
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3388), (3389) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3391) sum(n4, n6) = all_4_2
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3389) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3392) sum(n4, all_4_8) = all_4_7
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_2, n6, n4,
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3391) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3393) all_4_2 = n10
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3393) imply:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | (3394) sum(n10, all_4_1) = all_4_0
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.08 | | | | | | | | | | | | | | | | | | | | | | | (3395) all_4_10 = n5
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3395) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3396) pred(n5) = all_4_6
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3395) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3397) succ(n5) = all_4_8
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3397) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3398) all_4_8 = n6
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3396) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3399) all_4_6 = n4
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3398), (3399) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3400) sum(n4, n6) = all_4_1
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3399) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3401) sum(n4, n6) = all_4_4
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3398) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3402) sum(n4, n6) = all_4_7
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_4, n6, n4,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3401) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3403) all_4_4 = n10
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n6, n4,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3400), (3401) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3404) all_4_1 = all_4_4
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n6, n4,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3400), (3402) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3405) all_4_1 = all_4_7
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (177), (265), (3394), (3403), (3404),
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3405) are inconsistent by sub-proof #73.
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3406) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3406) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3407) all_4_10 = n4
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3407) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3408) pred(n4) = all_4_6
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3407) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3409) succ(n4) = all_4_8
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3409) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_4_8 = n5
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3408) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_4_6 = n3
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3410), (3411) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3412) sum(n3, n5) = all_4_1
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3411) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3413) sum(n3, n6) = all_4_4
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3410) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3414) sum(n4, n5) = all_4_7
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3412) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_4_1 = n8
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n6, n3,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (3413) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3416) all_4_4 = n9
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n5, n4,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (3414) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3417) all_4_7 = n9
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (160), (175), (265), (3394), (3415),
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3416), (3417) are inconsistent by sub-proof #72.
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3418) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3418) gives:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3419) all_4_10 = n3
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3419) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3420) pred(n3) = all_4_6
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3419) imply:
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3421) succ(n3) = all_4_8
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 52.28/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3421) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_4_8 = n4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3420) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_4_6 = n2
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3422), (3423) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3424) sum(n2, n4) = all_4_1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3423) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3425) sum(n2, n6) = all_4_4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3422) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3426) sum(n4, n4) = all_4_7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3424) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_4_1 = n6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n6, n2,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (45), (3425) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_4_4 = n8
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n4, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (75), (3426) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_4_7 = n8
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (143), (173), (265), (3394), (3427),
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3428), (3429) are inconsistent by sub-proof #71.
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3430) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_4_10 = n2
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3431) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) pred(n2) = all_4_6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3431) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) succ(n2) = all_4_8
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3433) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_4_8 = n3
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3432) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) all_4_6 = n1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3434), (3435) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) sum(n1, n3) = all_4_1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3435) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) sum(n1, n6) = all_4_4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3434) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) sum(n4, n3) = all_4_7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3436) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) all_4_1 = n4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n6, n1,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (3437) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) all_4_4 = n7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n3, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (3438) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) all_4_7 = n7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (126), (171), (265), (3394), (3439),
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3440), (3441) are inconsistent by sub-proof #70.
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_4_10 = n1 | all_4_10 = n0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3442) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_4_10 = n1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3443) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) pred(n1) = all_4_6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3443) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) succ(n1) = all_4_8
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3445) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) all_4_8 = n2
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3444) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) all_4_6 = n0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3446), (3447) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) sum(n0, n2) = all_4_1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3447) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) sum(n0, n6) = all_4_4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3446) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) sum(n4, n2) = all_4_7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3448) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_4_1 = n2
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n6, n0,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (3449) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) all_4_4 = n6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n2, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (73), (3450) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_4_7 = n6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (169), (265), (3394), (3451),
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452), (3453) are inconsistent by sub-proof #69.
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_4_10 = n0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3454) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) pred(n0) = all_4_6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3454) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) succ(n0) = all_4_8
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3456) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) all_4_8 = n1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3455) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_4_6 = n15
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3457), (3458) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) sum(n15, n1) = all_4_1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3390), (3458) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) sum(n15, n6) = all_4_4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3392), (3457) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) sum(n4, n1) = all_4_7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n1, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (3461) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_4_7 = n5
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3459) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_4_1 = n0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n6, n15,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (253), (3460) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_4_4 = n5
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (167), (265), (3394), (3462),
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463), (3464) are inconsistent by sub-proof #68.
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | (3465) all_4_11 = n4 | all_4_11 = n3 | all_4_11 = n2 |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n1 | all_4_11 = n0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3466) all_4_10 = n5
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3466) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3467) pred(n5) = all_4_6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3466) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3468) succ(n5) = all_4_8
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n6, all_4_8, n5,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (274), (3468) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3469) all_4_8 = n6
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n4, all_4_6, n5,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (292), (3467) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3470) all_4_6 = n4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3470) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3471) sum(n4, all_4_5) = all_4_4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3469), (3470) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3472) sum(n4, n6) = all_4_1
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3469) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3473) sum(all_4_9, n6) = all_4_7
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n10, all_4_1, n6, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (77), (3472) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3474) all_4_1 = n10
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3474) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | (3475) sum(all_4_2, n10) = all_4_0
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3465) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_4_11 = n4
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3476) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3477) pred(n4) = all_4_9
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3476) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3478) succ(n4) = all_4_5
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3478) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_4_5 = n5
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3477) gives:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_4_9 = n3
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3479), (3480) imply:
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | (3481) sum(n3, n5) = all_4_2
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3473), (3480) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3482) sum(n3, n6) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3471), (3479) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3483) sum(n4, n5) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3481) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_4_2 = n8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_7, n6, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (61), (3482) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_4_7 = n9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n9, all_4_4, n5, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (76), (3483) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3486) all_4_4 = n9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (145), (160), (265), (3475), (3484),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3485), (3486) are inconsistent by sub-proof #61.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3487) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_4_11 = n3
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3488) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3489) pred(n3) = all_4_9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3488) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3490) succ(n3) = all_4_5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3490) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_4_5 = n4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3489) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_4_9 = n2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3491), (3492) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3493) sum(n2, n4) = all_4_2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3473), (3492) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3494) sum(n2, n6) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3471), (3491) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3495) sum(n4, n4) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3493) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3496) all_4_2 = n6
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_7, n6, n2,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (45), (3494) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_4_7 = n8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n4, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (75), (3495) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_4_4 = n8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (113), (143), (265), (3475), (3496),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3497), (3498) are inconsistent by sub-proof #60.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3499) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_4_11 = n2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3500) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) pred(n2) = all_4_9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3500) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) succ(n2) = all_4_5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3502) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_4_5 = n3
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3501) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_4_9 = n1
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3503), (3504) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) sum(n1, n3) = all_4_2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3473), (3504) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) sum(n1, n6) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3471), (3503) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) sum(n4, n3) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3505) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_4_2 = n4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n6, n1,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (29), (3506) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_4_7 = n7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n3, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (74), (3507) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_4_4 = n7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (81), (126), (265), (3475), (3508),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3509), (3510) are inconsistent by sub-proof #59.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_4_11 = n1 | all_4_11 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3511) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_4_11 = n1
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3512) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) pred(n1) = all_4_9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3512) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) succ(n1) = all_4_5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3514) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_4_5 = n2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3513) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_4_9 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3515), (3516) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) sum(n0, n2) = all_4_2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3473), (3516) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) sum(n0, n6) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3471), (3515) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) sum(n4, n2) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3517) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_4_2 = n2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n6, n0,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (3518) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) all_4_7 = n6
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n2, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (73), (3519) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_4_4 = n6
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (49), (109), (265), (3475), (3520),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521), (3522) are inconsistent by sub-proof #58.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_4_11 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3523) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) pred(n0) = all_4_9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3523) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) succ(n0) = all_4_5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3525) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) all_4_5 = n1
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3524) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_4_9 = n15
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3526), (3527) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) sum(n15, n1) = all_4_2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3473), (3527) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) sum(n15, n6) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3471), (3526) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) sum(n4, n1) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n1, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (3530) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_4_4 = n5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3528) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_4_2 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n6, n15,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (253), (3529) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_4_7 = n5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17), (92), (265), (3475), (3531),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532), (3533) are inconsistent by sub-proof #57.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | (3534) all_4_10 = n4 | all_4_10 = n3 | all_4_10 = n2 |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n1 | all_4_10 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3465) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_4_11 = n4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3535) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3536) pred(n4) = all_4_9
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3535) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3537) succ(n4) = all_4_5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_5, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3537) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3538) all_4_5 = n5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_9, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3536) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_4_9 = n3
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3538) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3540) sum(all_4_6, n5) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3538), (3539) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3541) sum(n3, n5) = all_4_2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3539) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3542) sum(n3, all_4_8) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_2, n5, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3541) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_4_2 = n8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3543) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | (3544) sum(n8, all_4_1) = all_4_0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_4_10 = n4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3545) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3546) pred(n4) = all_4_6
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3545) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3547) succ(n4) = all_4_8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3547) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_4_8 = n5
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3546) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_4_6 = n3
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3548), (3549) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3550) sum(n3, n5) = all_4_1
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3540), (3549) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3551) sum(n3, n5) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3542), (3548) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3552) sum(n3, n5) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_4, n5, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3551) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_4_4 = n8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n5, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3550), (3551) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3554) all_4_1 = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n5, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3550), (3552) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_4_1 = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (143), (265), (3544), (3553), (3554),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3555) are inconsistent by sub-proof #50.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3556) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_4_10 = n3
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3557) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) pred(n3) = all_4_6
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3557) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) succ(n3) = all_4_8
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3559) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_4_8 = n4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3558) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_4_6 = n2
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3560), (3561) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) sum(n2, n4) = all_4_1
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3540), (3561) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) sum(n2, n5) = all_4_4
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3542), (3560) imply:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) sum(n3, n4) = all_4_7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3562) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_4_1 = n6
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n5, n2,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (3563) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_4_4 = n7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n4, n3,
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (59), (3564) gives:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_4_7 = n7
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (126), (141), (265), (3544), (3565),
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3566), (3567) are inconsistent by sub-proof #49.
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3568) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_4_10 = n2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3569) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) pred(n2) = all_4_6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3569) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) succ(n2) = all_4_8
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3571) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_4_8 = n3
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3570) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) all_4_6 = n1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3572), (3573) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) sum(n1, n3) = all_4_1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3540), (3573) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) sum(n1, n5) = all_4_4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3542), (3572) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) sum(n3, n3) = all_4_7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3574) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_4_1 = n4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n5, n1,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (3575) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_4_4 = n6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n3, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (3576) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) all_4_7 = n6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (139), (265), (3544), (3577),
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578), (3579) are inconsistent by sub-proof #48.
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) all_4_10 = n1 | all_4_10 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3580) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_4_10 = n1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3581) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) pred(n1) = all_4_6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3581) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) succ(n1) = all_4_8
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3583) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_4_8 = n2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3582) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_4_6 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3584), (3585) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) sum(n0, n2) = all_4_1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3540), (3585) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) sum(n0, n5) = all_4_4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3542), (3584) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) sum(n3, n2) = all_4_7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3586) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) all_4_1 = n2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n5, n0,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (3587) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_4_4 = n5
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n2, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (57), (3588) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) all_4_7 = n5
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (137), (265), (3544), (3589),
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590), (3591) are inconsistent by sub-proof #47.
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) all_4_10 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3592) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) pred(n0) = all_4_6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3592) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) succ(n0) = all_4_8
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3594) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) all_4_8 = n1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3593) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) all_4_6 = n15
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3595), (3596) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) sum(n15, n1) = all_4_1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3540), (3596) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) sum(n15, n5) = all_4_4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3542), (3595) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) sum(n3, n1) = all_4_7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n1, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (3599) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) all_4_7 = n4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3597) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) all_4_1 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n5, n15,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (3598) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) all_4_4 = n4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (135), (265), (3544), (3600),
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601), (3602) are inconsistent by sub-proof #46.
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_4_11 = n3 | all_4_11 = n2 | all_4_11 = n1 |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | all_4_11 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_4_10 = n4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3604) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3605) pred(n4) = all_4_6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3604) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3606) succ(n4) = all_4_8
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n5, all_4_8, n4,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (273), (3606) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_4_8 = n5
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n3, all_4_6, n4,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (291), (3605) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3608) all_4_6 = n3
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3608) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3609) sum(n3, all_4_5) = all_4_4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3607), (3608) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3610) sum(n3, n5) = all_4_1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3607) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3611) sum(all_4_9, n5) = all_4_7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n8, all_4_1, n5, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (60), (3610) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3612) all_4_1 = n8
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3612) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | (3613) sum(all_4_2, n8) = all_4_0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3603) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) all_4_11 = n3
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3614) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) pred(n3) = all_4_9
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3614) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) succ(n3) = all_4_5
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3616) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_4_5 = n4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3615) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) all_4_9 = n2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3617), (3618) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) sum(n2, n4) = all_4_2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3611), (3618) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) sum(n2, n5) = all_4_7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3609), (3617) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) sum(n3, n4) = all_4_4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3619) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) all_4_2 = n6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_7, n5, n2,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (44), (3620) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) all_4_7 = n7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n7, all_4_4, n4, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (59), (3621) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_4_4 = n7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (111), (126), (265), (3613), (3622),
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3623), (3624) are inconsistent by sub-proof #40.
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) all_4_11 = n2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3626) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) pred(n2) = all_4_9
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3626) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) succ(n2) = all_4_5
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3628) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_4_5 = n3
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3627) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_4_9 = n1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3629), (3630) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) sum(n1, n3) = all_4_2
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3611), (3630) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) sum(n1, n5) = all_4_7
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3609), (3629) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) sum(n3, n3) = all_4_4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3631) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) all_4_2 = n4
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_7, n5, n1,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (28), (3632) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) all_4_7 = n6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n3, n3,
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (58), (3633) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) all_4_4 = n6
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (79), (109), (265), (3613), (3634),
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635), (3636) are inconsistent by sub-proof #39.
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) all_4_11 = n1 | all_4_11 = n0
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3637) gives:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_4_11 = n1
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3638) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) pred(n1) = all_4_9
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3638) imply:
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) succ(n1) = all_4_5
% 52.35/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3640) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) all_4_5 = n2
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3639) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) all_4_9 = n0
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3641), (3642) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) sum(n0, n2) = all_4_2
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3611), (3642) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) sum(n0, n5) = all_4_7
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3609), (3641) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) sum(n3, n2) = all_4_4
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3643) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) all_4_2 = n2
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n5, n0,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (12), (3644) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_4_7 = n5
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n2, n3,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (57), (3645) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) all_4_4 = n5
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (47), (92), (265), (3613), (3646),
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647), (3648) are inconsistent by sub-proof #38.
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_4_11 = n0
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3649) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) pred(n0) = all_4_9
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3649) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) succ(n0) = all_4_5
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3651) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_4_5 = n1
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3650) gives:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_4_9 = n15
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3652), (3653) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) sum(n15, n1) = all_4_2
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3611), (3653) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) sum(n15, n5) = all_4_7
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3609), (3652) imply:
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) sum(n3, n1) = all_4_4
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n1, n3,
% 52.45/8.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (56), (3656) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) all_4_4 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3654) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) all_4_2 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n5, n15,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (3655) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_4_7 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15), (75), (265), (3613), (3657),
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658), (3659) are inconsistent by sub-proof #37.
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_4_10 = n3 | all_4_10 = n2 | all_4_10 = n1 |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_4_10 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3603) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_4_11 = n3
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3661) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) pred(n3) = all_4_9
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3661) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) succ(n3) = all_4_5
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_5, n3,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3663) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_4_5 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_9, n3,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3662) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_4_9 = n2
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3664) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) sum(all_4_6, n4) = all_4_4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3664), (3665) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) sum(n2, n4) = all_4_2
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3665) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) sum(n2, all_4_8) = all_4_7
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_2, n4, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3667) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_4_2 = n6
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3669) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) sum(n6, all_4_1) = all_4_0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3660) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_4_10 = n3
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3671) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) pred(n3) = all_4_6
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3671) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) succ(n3) = all_4_8
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3673) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_4_8 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3672) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_4_6 = n2
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3674), (3675) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) sum(n2, n4) = all_4_1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3666), (3675) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) sum(n2, n4) = all_4_4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3668), (3674) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) sum(n2, n4) = all_4_7
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_4, n4, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3677) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_4_4 = n6
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n4, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3676), (3677) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_4_1 = all_4_4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n4, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3676), (3678) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_4_1 = all_4_7
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (109), (265), (3670), (3679), (3680),
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) are inconsistent by sub-proof #32.
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3682) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_4_10 = n2
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3683) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) pred(n2) = all_4_6
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3683) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) succ(n2) = all_4_8
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3685) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_4_8 = n3
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3684) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_4_6 = n1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3686), (3687) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) sum(n1, n3) = all_4_1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3666), (3687) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) sum(n1, n4) = all_4_4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3668), (3686) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) sum(n2, n3) = all_4_7
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3688) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_4_1 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n4, n1,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (27), (3689) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_4_4 = n5
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n3, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (3690) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_4_7 = n5
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (92), (107), (265), (3670), (3691),
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692), (3693) are inconsistent by sub-proof #31.
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_4_10 = n1 | all_4_10 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3694) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_4_10 = n1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3695) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) pred(n1) = all_4_6
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3695) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) succ(n1) = all_4_8
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3697) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_4_8 = n2
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3696) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_4_6 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3698), (3699) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) sum(n0, n2) = all_4_1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3666), (3699) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) sum(n0, n4) = all_4_4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3668), (3698) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) sum(n2, n2) = all_4_7
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3700) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_4_1 = n2
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n4, n0,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (3701) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_4_4 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n2, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (3702) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_4_7 = n4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (105), (265), (3670), (3703),
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704), (3705) are inconsistent by sub-proof #30.
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_4_10 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3706) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) pred(n0) = all_4_6
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3706) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) succ(n0) = all_4_8
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3708) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) all_4_8 = n1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3707) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_4_6 = n15
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3709), (3710) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) sum(n15, n1) = all_4_1
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3666), (3710) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) sum(n15, n4) = all_4_4
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3668), (3709) imply:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) sum(n2, n1) = all_4_7
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n1, n2,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (3713) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_4_7 = n3
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3711) gives:
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_4_1 = n0
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n4, n15,
% 52.45/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (251), (3712) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_4_4 = n3
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (103), (265), (3670), (3714),
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715), (3716) are inconsistent by sub-proof #29.
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_4_11 = n2 | all_4_11 = n1 | all_4_11 = n0
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3660) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_4_10 = n3
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3718) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) pred(n3) = all_4_6
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3718) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) succ(n3) = all_4_8
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n4, all_4_8, n3,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (272), (3720) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_4_8 = n4
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n2, all_4_6, n3,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (290), (3719) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_4_6 = n2
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3722) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) sum(n2, all_4_5) = all_4_4
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3721), (3722) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) sum(n2, n4) = all_4_1
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3721) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) sum(all_4_9, n4) = all_4_7
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n6, all_4_1, n4, n2,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (3724) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_4_1 = n6
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3726) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) sum(all_4_2, n6) = all_4_0
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3717) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_4_11 = n2
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3728) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) pred(n2) = all_4_9
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3728) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) succ(n2) = all_4_5
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3730) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_4_5 = n3
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3729) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_4_9 = n1
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3731), (3732) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) sum(n1, n3) = all_4_2
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3725), (3732) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) sum(n1, n4) = all_4_7
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3723), (3731) imply:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) sum(n2, n3) = all_4_4
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3733) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_4_2 = n4
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_7, n4, n1,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (27), (3734) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_4_7 = n5
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n5, all_4_4, n3, n2,
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (3735) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_4_4 = n5
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (77), (92), (265), (3727), (3736),
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737), (3738) are inconsistent by sub-proof #24.
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_4_11 = n1 | all_4_11 = n0
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3739) gives:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_4_11 = n1
% 52.48/8.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3740) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) pred(n1) = all_4_9
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3740) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) succ(n1) = all_4_5
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3742) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_4_5 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3741) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_4_9 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3743), (3744) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) sum(n0, n2) = all_4_2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3725), (3744) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) sum(n0, n4) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3723), (3743) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) sum(n2, n2) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3745) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_4_2 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_7, n4, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (11), (3746) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_4_7 = n4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n2, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (41), (3747) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_4_4 = n4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (45), (75), (265), (3727), (3748),
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749), (3750) are inconsistent by sub-proof #23.
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_4_11 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3751) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) pred(n0) = all_4_9
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3751) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) succ(n0) = all_4_5
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3753) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_4_5 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3752) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_4_9 = n15
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3754), (3755) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) sum(n15, n1) = all_4_2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3725), (3755) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) sum(n15, n4) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3723), (3754) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) sum(n2, n1) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n1, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (40), (3758) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_4_4 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3756) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_4_2 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n4, n15,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (251), (3757) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_4_7 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13), (58), (265), (3727), (3759),
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760), (3761) are inconsistent by sub-proof #22.
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_4_10 = n2 | all_4_10 = n1 | all_4_10 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3717) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_4_11 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3763) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) pred(n2) = all_4_9
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3763) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) succ(n2) = all_4_5
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_5, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3765) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_4_5 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_9, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3764) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_4_9 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3766) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) sum(all_4_6, n3) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3766), (3767) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) sum(n1, n3) = all_4_2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3767) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) sum(n1, all_4_8) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_2, n3, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3769) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_4_2 = n4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3771) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) sum(n4, all_4_1) = all_4_0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3762) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_4_10 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3773) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) pred(n2) = all_4_6
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3773) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) succ(n2) = all_4_8
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3775) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_4_8 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3774) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_4_6 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3776), (3777) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) sum(n1, n3) = all_4_1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3768), (3777) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) sum(n1, n3) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3770), (3776) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) sum(n1, n3) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_4, n3, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3779) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_4_4 = n4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n3, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3778), (3779) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_4_1 = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n3, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3778), (3780) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_4_1 = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (75), (265), (3772), (3781), (3782),
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) are inconsistent by sub-proof #18.
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_4_10 = n1 | all_4_10 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3784) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_4_10 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3785) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) pred(n1) = all_4_6
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3785) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) succ(n1) = all_4_8
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3787) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_4_8 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3786) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_4_6 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3788), (3789) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) sum(n0, n2) = all_4_1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3768), (3789) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) sum(n0, n3) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3770), (3788) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) sum(n1, n2) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3790) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_4_1 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n3, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (3791) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_4_4 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n2, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (3792) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_4_7 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (58), (73), (265), (3772), (3793),
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794), (3795) are inconsistent by sub-proof #17.
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_4_10 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3796) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) pred(n0) = all_4_6
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3796) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) succ(n0) = all_4_8
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3798) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_4_8 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3797) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_4_6 = n15
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3799), (3800) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) sum(n15, n1) = all_4_1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3768), (3800) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) sum(n15, n3) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3770), (3799) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) sum(n1, n1) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n1, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (3803) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_4_7 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3801) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_4_1 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n3, n15,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (250), (3802) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_4_4 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (71), (265), (3772), (3804),
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805), (3806) are inconsistent by sub-proof #16.
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_4_11 = n1 | all_4_11 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3762) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_4_10 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3808) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) pred(n2) = all_4_6
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3808) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) succ(n2) = all_4_8
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n3, all_4_8, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (271), (3810) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_4_8 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n1, all_4_6, n2,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289), (3809) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_4_6 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3812) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) sum(n1, all_4_5) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3811), (3812) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) sum(n1, n3) = all_4_1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3811) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) sum(all_4_9, n3) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n4, all_4_1, n3, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (26), (3814) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_4_1 = n4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3816) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) sum(all_4_2, n4) = all_4_0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3807) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_4_11 = n1
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3818) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) pred(n1) = all_4_9
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3818) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) succ(n1) = all_4_5
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3820) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_4_5 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3819) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_4_9 = n0
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3821), (3822) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) sum(n0, n2) = all_4_2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3815), (3822) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) sum(n0, n3) = all_4_7
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3813), (3821) imply:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) sum(n1, n2) = all_4_4
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3823) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_4_2 = n2
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_7, n3, n0,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (3824) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_4_7 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n3, all_4_4, n2, n1,
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (3825) gives:
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_4_4 = n3
% 52.48/8.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (43), (58), (265), (3817), (3826),
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827), (3828) are inconsistent by sub-proof #12.
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_4_11 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3829) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) pred(n0) = all_4_9
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3829) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) succ(n0) = all_4_5
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3831) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_4_5 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3830) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_4_9 = n15
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3832), (3833) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) sum(n15, n1) = all_4_2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3815), (3833) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) sum(n15, n3) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3813), (3832) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) sum(n1, n1) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n1, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (24), (3836) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_4_4 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3834) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_4_2 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_7, n3, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (250), (3835) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_4_7 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11), (41), (265), (3817), (3837),
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838), (3839) are inconsistent by sub-proof #11.
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_4_10 = n1 | all_4_10 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3807) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_4_11 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3841) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) pred(n1) = all_4_9
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3841) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) succ(n1) = all_4_5
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_5, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3843) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_4_5 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_9, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3842) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_4_9 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3844) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) sum(all_4_6, n2) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3844), (3845) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) sum(n0, n2) = all_4_2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3845) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) sum(n0, all_4_8) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_2, n2, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3847) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_4_2 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3849) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) sum(n2, all_4_1) = all_4_0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3840) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_4_10 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3851) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) pred(n1) = all_4_6
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3851) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) succ(n1) = all_4_8
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3853) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_4_8 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3852) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_4_6 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3854), (3855) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) sum(n0, n2) = all_4_1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3846), (3855) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) sum(n0, n2) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3848), (3854) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) sum(n0, n2) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_4, n2, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3857) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_4_4 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n2, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3856), (3857) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) all_4_1 = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n2, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3856), (3858) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_4_1 = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (41), (265), (3850), (3859), (3860),
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) are inconsistent by sub-proof #8.
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_4_10 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3862) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) pred(n0) = all_4_6
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3862) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) succ(n0) = all_4_8
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3864) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_4_8 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3863) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_4_6 = n15
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3865), (3866) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) sum(n15, n1) = all_4_1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3846), (3866) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) sum(n15, n2) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3848), (3865) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) sum(n0, n1) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n1, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (3869) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_4_7 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_1, n1, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3867) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_4_1 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n2, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (249), (3868) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_4_4 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (24), (39), (265), (3850), (3870),
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871), (3872) are inconsistent by sub-proof #7.
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) all_4_11 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3873) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) pred(n0) = all_4_9
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (3873) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) succ(n0) = all_4_5
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_5, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3875) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) all_4_5 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_9, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3874) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_4_9 = n15
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (3876) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) sum(all_4_6, n1) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (3876), (3877) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) sum(n15, n1) = all_4_2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (3877) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) sum(n15, all_4_8) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_2, n1, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3879) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_4_2 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (3881) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) sum(n0, all_4_1) = all_4_0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3840) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_4_10 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3883) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) pred(n1) = all_4_6
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3883) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) succ(n1) = all_4_8
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n2, all_4_8, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (270), (3885) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_4_8 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n0, all_4_6, n1,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288), (3884) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_4_6 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3886), (3887) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) sum(n0, n2) = all_4_1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3878), (3887) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) sum(n0, n1) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3880), (3886) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) sum(n15, n2) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_4, n1, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (3889) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_4_4 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n2, all_4_1, n2, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (3888) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_4_1 = n2
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n1, all_4_7, n2, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (249), (3890) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_4_7 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (3891), (3893) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) sum(n1, n1) = all_4_3
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3882), (3892) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) sum(n0, n2) = all_4_0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (24), (3894), (3895) are
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_4_10 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (3896) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) pred(n0) = all_4_6
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (3896) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) succ(n0) = all_4_8
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with n1, all_4_8, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (269), (3898) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_4_8 = n1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with n15, all_4_6, n0,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287), (3897) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_4_6 = n15
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3899), (3900) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) sum(n15, n1) = all_4_1
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3878), (3900) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) sum(n15, n1) = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3880), (3899) imply:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) sum(n15, n1) = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with n0, all_4_4, n1, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (248), (3902) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) all_4_4 = n0
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_4, all_4_1, n1, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3901), (3902) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) all_4_1 = all_4_4
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_4_7, all_4_1, n1, n15,
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3901), (3903) gives:
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) all_4_1 = all_4_7
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (265), (3882), (3904), (3905),
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) are inconsistent by sub-proof #2.
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | | |
% 52.48/8.14 | | | | | | | | | End of split
% 52.48/8.14 | | | | | | | | |
% 52.48/8.14 | | | | | | | | End of split
% 52.48/8.14 | | | | | | | |
% 52.48/8.14 | | | | | | | End of split
% 52.48/8.14 | | | | | | |
% 52.48/8.14 | | | | | | End of split
% 52.48/8.14 | | | | | |
% 52.48/8.14 | | | | | End of split
% 52.48/8.14 | | | | |
% 52.48/8.14 | | | | End of split
% 52.48/8.14 | | | |
% 52.48/8.14 | | | End of split
% 52.48/8.14 | | |
% 52.48/8.14 | | End of split
% 52.48/8.14 | |
% 52.48/8.14 | End of split
% 52.48/8.14 |
% 52.48/8.14 End of proof
% 52.48/8.14
% 52.48/8.14 Sub-proof #1 shows that the following formulas are inconsistent:
% 52.48/8.14 ----------------------------------------------------------------
% 52.48/8.14 (1) sum(n8, n8) = n0
% 52.48/8.14 (2) sum(n0, n0) = all_4_0
% 52.48/8.14 (3) sum(n0, n0) = n0
% 52.48/8.15 (4) sum(n8, n8) = all_4_3
% 52.48/8.15 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n0, all_4_0, n0, n0, simplifying with (2),
% 52.48/8.15 | (3) gives:
% 52.48/8.15 | (7) all_4_0 = n0
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n0, all_4_3, n8, n8, simplifying with (1),
% 52.48/8.15 | (4) gives:
% 52.48/8.15 | (8) all_4_3 = n0
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (5), (7), (8) imply:
% 52.48/8.15 | (9) $false
% 52.48/8.15 |
% 52.48/8.15 | CLOSE: (9) is inconsistent.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #2 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) all_4_4 = n0
% 52.48/8.15 (2) sum(n0, all_4_1) = all_4_0
% 52.48/8.15 (3) sum(n0, n0) = n0
% 52.48/8.15 (4) all_4_1 = all_4_7
% 52.48/8.15 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.15 (6) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (7) all_4_1 = all_4_4
% 52.48/8.15 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | COMBINE_EQS: (4), (7) imply:
% 52.48/8.15 | (9) all_4_4 = all_4_7
% 52.48/8.15 |
% 52.48/8.15 | SIMP: (9) implies:
% 52.48/8.15 | (10) all_4_4 = all_4_7
% 52.48/8.15 |
% 52.48/8.15 | COMBINE_EQS: (1), (10) imply:
% 52.48/8.15 | (11) all_4_7 = n0
% 52.48/8.15 |
% 52.48/8.15 | COMBINE_EQS: (4), (11) imply:
% 52.48/8.15 | (12) all_4_1 = n0
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (1), (5), (11) imply:
% 52.48/8.15 | (13) sum(n0, n0) = all_4_3
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (2), (12) imply:
% 52.48/8.15 | (14) sum(n0, n0) = all_4_0
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (8) with n0, all_4_0, n0, n0, simplifying with (3),
% 52.48/8.15 | (14) gives:
% 52.48/8.15 | (15) all_4_0 = n0
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n0, n0, simplifying with
% 52.48/8.15 | (13), (14) gives:
% 52.48/8.15 | (16) all_4_0 = all_4_3
% 52.48/8.15 |
% 52.48/8.15 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #51.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #3 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) sum(n9, n9) = all_4_3
% 52.48/8.15 (2) sum(n0, n2) = n2
% 52.48/8.15 (3) sum(n0, n2) = all_4_0
% 52.48/8.15 (4) sum(n9, n9) = n2
% 52.48/8.15 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n2, all_4_0, n2, n0, simplifying with (2),
% 52.48/8.15 | (3) gives:
% 52.48/8.15 | (7) all_4_0 = n2
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n2, all_4_3, n9, n9, simplifying with (1),
% 52.48/8.15 | (4) gives:
% 52.48/8.15 | (8) all_4_3 = n2
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (5), (7), (8) imply:
% 52.48/8.15 | (9) $false
% 52.48/8.15 |
% 52.48/8.15 | CLOSE: (9) is inconsistent.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #4 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) sum(n0, n2) = n2
% 52.48/8.15 (2) sum(n0, n2) = all_4_0
% 52.48/8.15 (3) sum(n1, n1) = n2
% 52.48/8.15 (4) sum(n1, n1) = all_4_3
% 52.48/8.15 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n2, all_4_0, n2, n0, simplifying with (1),
% 52.48/8.15 | (2) gives:
% 52.48/8.15 | (7) all_4_0 = n2
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (3),
% 52.48/8.15 | (4) gives:
% 52.48/8.15 | (8) all_4_3 = n2
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (5), (7), (8) imply:
% 52.48/8.15 | (9) $false
% 52.48/8.15 |
% 52.48/8.15 | CLOSE: (9) is inconsistent.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #5 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) sum(n9, n9) = all_4_3
% 52.48/8.15 (2) sum(n2, n0) = all_4_0
% 52.48/8.15 (3) sum(n9, n9) = n2
% 52.48/8.15 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (5) sum(n2, n0) = n2
% 52.48/8.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n2, all_4_0, n0, n2, simplifying with (2),
% 52.48/8.15 | (5) gives:
% 52.48/8.15 | (7) all_4_0 = n2
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n2, all_4_3, n9, n9, simplifying with (1),
% 52.48/8.15 | (3) gives:
% 52.48/8.15 | (8) all_4_3 = n2
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (4), (7), (8) imply:
% 52.48/8.15 | (9) $false
% 52.48/8.15 |
% 52.48/8.15 | CLOSE: (9) is inconsistent.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #6 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) sum(n10, n10) = all_4_3
% 52.48/8.15 (2) sum(n2, n2) = all_4_0
% 52.48/8.15 (3) sum(n2, n2) = n4
% 52.48/8.15 (4) sum(n10, n10) = n4
% 52.48/8.15 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n4, all_4_0, n2, n2, simplifying with (2),
% 52.48/8.15 | (3) gives:
% 52.48/8.15 | (7) all_4_0 = n4
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (6) with n4, all_4_3, n10, n10, simplifying with
% 52.48/8.15 | (1), (4) gives:
% 52.48/8.15 | (8) all_4_3 = n4
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (5), (7), (8) imply:
% 52.48/8.15 | (9) $false
% 52.48/8.15 |
% 52.48/8.15 | CLOSE: (9) is inconsistent.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #7 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) sum(n2, all_4_1) = all_4_0
% 52.48/8.15 (2) all_4_1 = n0
% 52.48/8.15 (3) all_4_7 = n1
% 52.48/8.15 (4) all_4_4 = n1
% 52.48/8.15 (5) sum(n1, n1) = n2
% 52.48/8.15 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.15 (7) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (8) sum(n2, n0) = n2
% 52.48/8.15 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (3), (4), (6) imply:
% 52.48/8.15 | (10) sum(n1, n1) = all_4_3
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (1), (2) imply:
% 52.48/8.15 | (11) sum(n2, n0) = all_4_0
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (9) with n2, all_4_3, n1, n1, simplifying with (5),
% 52.48/8.15 | (10) gives:
% 52.48/8.15 | (12) all_4_3 = n2
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (9) with n2, all_4_0, n0, n2, simplifying with (8),
% 52.48/8.15 | (11) gives:
% 52.48/8.15 | (13) all_4_0 = n2
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (7), (12), (13) imply:
% 52.48/8.15 | (14) $false
% 52.48/8.15 |
% 52.48/8.15 | CLOSE: (14) is inconsistent.
% 52.48/8.15 |
% 52.48/8.15 End of proof
% 52.48/8.15
% 52.48/8.15 Sub-proof #8 shows that the following formulas are inconsistent:
% 52.48/8.15 ----------------------------------------------------------------
% 52.48/8.15 (1) sum(n2, all_4_1) = all_4_0
% 52.48/8.15 (2) all_4_1 = all_4_7
% 52.48/8.15 (3) all_4_4 = n2
% 52.48/8.15 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.15 (5) sum(n2, n2) = n4
% 52.48/8.15 (6) ~ (all_4_0 = all_4_3)
% 52.48/8.15 (7) all_4_1 = all_4_4
% 52.48/8.15 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.15 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.15
% 52.48/8.15 Begin of proof
% 52.48/8.15 |
% 52.48/8.15 | COMBINE_EQS: (2), (7) imply:
% 52.48/8.15 | (9) all_4_4 = all_4_7
% 52.48/8.15 |
% 52.48/8.15 | SIMP: (9) implies:
% 52.48/8.15 | (10) all_4_4 = all_4_7
% 52.48/8.15 |
% 52.48/8.15 | COMBINE_EQS: (3), (10) imply:
% 52.48/8.15 | (11) all_4_7 = n2
% 52.48/8.15 |
% 52.48/8.15 | COMBINE_EQS: (2), (11) imply:
% 52.48/8.15 | (12) all_4_1 = n2
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (3), (4), (11) imply:
% 52.48/8.15 | (13) sum(n2, n2) = all_4_3
% 52.48/8.15 |
% 52.48/8.15 | REDUCE: (1), (12) imply:
% 52.48/8.15 | (14) sum(n2, n2) = all_4_0
% 52.48/8.15 |
% 52.48/8.15 | GROUND_INST: instantiating (8) with n4, all_4_0, n2, n2, simplifying with (5),
% 52.48/8.15 | (14) gives:
% 52.48/8.16 | (15) all_4_0 = n4
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n2, n2, simplifying with
% 52.48/8.16 | (13), (14) gives:
% 52.48/8.16 | (16) all_4_0 = all_4_3
% 52.48/8.16 |
% 52.48/8.16 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #74.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #9 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n0, n4) = all_4_0
% 52.48/8.16 (2) sum(n10, n10) = all_4_3
% 52.48/8.16 (3) sum(n0, n4) = n4
% 52.48/8.16 (4) sum(n10, n10) = n4
% 52.48/8.16 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n4, all_4_0, n4, n0, simplifying with (1),
% 52.48/8.16 | (3) gives:
% 52.48/8.16 | (7) all_4_0 = n4
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n4, all_4_3, n10, n10, simplifying with
% 52.48/8.16 | (2), (4) gives:
% 52.48/8.16 | (8) all_4_3 = n4
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (5), (7), (8) imply:
% 52.48/8.16 | (9) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (9) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #10 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n2, n4) = n6
% 52.48/8.16 (2) sum(n11, n11) = n6
% 52.48/8.16 (3) sum(n11, n11) = all_4_3
% 52.48/8.16 (4) sum(n2, n4) = all_4_0
% 52.48/8.16 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n6, all_4_0, n4, n2, simplifying with (1),
% 52.48/8.16 | (4) gives:
% 52.48/8.16 | (7) all_4_0 = n6
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n6, all_4_3, n11, n11, simplifying with
% 52.48/8.16 | (2), (3) gives:
% 52.48/8.16 | (8) all_4_3 = n6
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (5), (7), (8) imply:
% 52.48/8.16 | (9) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (9) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #11 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(all_4_2, n4) = all_4_0
% 52.48/8.16 (2) all_4_7 = n2
% 52.48/8.16 (3) all_4_2 = n0
% 52.48/8.16 (4) all_4_4 = n2
% 52.48/8.16 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.16 (6) sum(n2, n2) = n4
% 52.48/8.16 (7) sum(n0, n4) = n4
% 52.48/8.16 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (1), (3) imply:
% 52.48/8.16 | (10) sum(n0, n4) = all_4_0
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (2), (4), (5) imply:
% 52.48/8.16 | (11) sum(n2, n2) = all_4_3
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (9) with n4, all_4_0, n4, n0, simplifying with (7),
% 52.48/8.16 | (10) gives:
% 52.48/8.16 | (12) all_4_0 = n4
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (9) with n4, all_4_3, n2, n2, simplifying with (6),
% 52.48/8.16 | (11) gives:
% 52.48/8.16 | (13) all_4_3 = n4
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (8), (12), (13) imply:
% 52.48/8.16 | (14) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (14) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #12 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n2, n4) = n6
% 52.48/8.16 (2) all_4_4 = n3
% 52.48/8.16 (3) sum(n3, n3) = n6
% 52.48/8.16 (4) sum(all_4_2, n4) = all_4_0
% 52.48/8.16 (5) all_4_7 = n3
% 52.48/8.16 (6) all_4_2 = n2
% 52.48/8.16 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.16 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (4), (6) imply:
% 52.48/8.16 | (10) sum(n2, n4) = all_4_0
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (2), (5), (7) imply:
% 52.48/8.16 | (11) sum(n3, n3) = all_4_3
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (9) with n6, all_4_0, n4, n2, simplifying with (1),
% 52.48/8.16 | (10) gives:
% 52.48/8.16 | (12) all_4_0 = n6
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (9) with n6, all_4_3, n3, n3, simplifying with (3),
% 52.48/8.16 | (11) gives:
% 52.48/8.16 | (13) all_4_3 = n6
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (8), (12), (13) imply:
% 52.48/8.16 | (14) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (14) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #13 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n4, n0) = n4
% 52.48/8.16 (2) sum(n10, n10) = all_4_3
% 52.48/8.16 (3) sum(n4, n0) = all_4_0
% 52.48/8.16 (4) sum(n10, n10) = n4
% 52.48/8.16 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n4, all_4_0, n0, n4, simplifying with (1),
% 52.48/8.16 | (3) gives:
% 52.48/8.16 | (7) all_4_0 = n4
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n4, all_4_3, n10, n10, simplifying with
% 52.48/8.16 | (2), (4) gives:
% 52.48/8.16 | (8) all_4_3 = n4
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (5), (7), (8) imply:
% 52.48/8.16 | (9) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (9) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #14 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n4, n2) = all_4_0
% 52.48/8.16 (2) sum(n11, n11) = n6
% 52.48/8.16 (3) sum(n11, n11) = all_4_3
% 52.48/8.16 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (5) sum(n4, n2) = n6
% 52.48/8.16 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n6, all_4_0, n2, n4, simplifying with (1),
% 52.48/8.16 | (5) gives:
% 52.48/8.16 | (7) all_4_0 = n6
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n6, all_4_3, n11, n11, simplifying with
% 52.48/8.16 | (2), (3) gives:
% 52.48/8.16 | (8) all_4_3 = n6
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (4), (7), (8) imply:
% 52.48/8.16 | (9) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (9) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #15 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n4, n4) = n8
% 52.48/8.16 (2) sum(n12, n12) = all_4_3
% 52.48/8.16 (3) sum(n4, n4) = all_4_0
% 52.48/8.16 (4) sum(n12, n12) = n8
% 52.48/8.16 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n8, all_4_0, n4, n4, simplifying with (1),
% 52.48/8.16 | (3) gives:
% 52.48/8.16 | (7) all_4_0 = n8
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (6) with n8, all_4_3, n12, n12, simplifying with
% 52.48/8.16 | (2), (4) gives:
% 52.48/8.16 | (8) all_4_3 = n8
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (5), (7), (8) imply:
% 52.48/8.16 | (9) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (9) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #16 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) sum(n4, n0) = n4
% 52.48/8.16 (2) all_4_1 = n0
% 52.48/8.16 (3) all_4_7 = n2
% 52.48/8.16 (4) all_4_4 = n2
% 52.48/8.16 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.16 (6) sum(n2, n2) = n4
% 52.48/8.16 (7) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (8) sum(n4, all_4_1) = all_4_0
% 52.48/8.16 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (3), (4), (5) imply:
% 52.48/8.16 | (10) sum(n2, n2) = all_4_3
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (2), (8) imply:
% 52.48/8.16 | (11) sum(n4, n0) = all_4_0
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (9) with n4, all_4_3, n2, n2, simplifying with (6),
% 52.48/8.16 | (10) gives:
% 52.48/8.16 | (12) all_4_3 = n4
% 52.48/8.16 |
% 52.48/8.16 | GROUND_INST: instantiating (9) with n4, all_4_0, n0, n4, simplifying with (1),
% 52.48/8.16 | (11) gives:
% 52.48/8.16 | (13) all_4_0 = n4
% 52.48/8.16 |
% 52.48/8.16 | REDUCE: (7), (12), (13) imply:
% 52.48/8.16 | (14) $false
% 52.48/8.16 |
% 52.48/8.16 | CLOSE: (14) is inconsistent.
% 52.48/8.16 |
% 52.48/8.16 End of proof
% 52.48/8.16
% 52.48/8.16 Sub-proof #17 shows that the following formulas are inconsistent:
% 52.48/8.16 ----------------------------------------------------------------
% 52.48/8.16 (1) all_4_4 = n3
% 52.48/8.16 (2) all_4_1 = n2
% 52.48/8.16 (3) sum(n3, n3) = n6
% 52.48/8.16 (4) all_4_7 = n3
% 52.48/8.16 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.16 (6) ~ (all_4_0 = all_4_3)
% 52.48/8.16 (7) sum(n4, all_4_1) = all_4_0
% 52.48/8.16 (8) sum(n4, n2) = n6
% 52.48/8.16 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.16 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.16
% 52.48/8.16 Begin of proof
% 52.48/8.16 |
% 52.48/8.17 | REDUCE: (1), (4), (5) imply:
% 52.48/8.17 | (10) sum(n3, n3) = all_4_3
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (2), (7) imply:
% 52.48/8.17 | (11) sum(n4, n2) = all_4_0
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n6, all_4_3, n3, n3, simplifying with (3),
% 52.48/8.17 | (10) gives:
% 52.48/8.17 | (12) all_4_3 = n6
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n6, all_4_0, n2, n4, simplifying with (8),
% 52.48/8.17 | (11) gives:
% 52.48/8.17 | (13) all_4_0 = n6
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (6), (12), (13) imply:
% 52.48/8.17 | (14) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (14) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #18 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) sum(n4, n4) = n8
% 52.48/8.17 (2) all_4_4 = n4
% 52.48/8.17 (3) all_4_1 = all_4_7
% 52.48/8.17 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.17 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (6) all_4_1 = all_4_4
% 52.48/8.17 (7) sum(n4, all_4_1) = all_4_0
% 52.48/8.17 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | COMBINE_EQS: (3), (6) imply:
% 52.48/8.17 | (9) all_4_4 = all_4_7
% 52.48/8.17 |
% 52.48/8.17 | SIMP: (9) implies:
% 52.48/8.17 | (10) all_4_4 = all_4_7
% 52.48/8.17 |
% 52.48/8.17 | COMBINE_EQS: (2), (10) imply:
% 52.48/8.17 | (11) all_4_7 = n4
% 52.48/8.17 |
% 52.48/8.17 | COMBINE_EQS: (3), (11) imply:
% 52.48/8.17 | (12) all_4_1 = n4
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (2), (4), (11) imply:
% 52.48/8.17 | (13) sum(n4, n4) = all_4_3
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (7), (12) imply:
% 52.48/8.17 | (14) sum(n4, n4) = all_4_0
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (8) with n8, all_4_0, n4, n4, simplifying with (1),
% 52.48/8.17 | (14) gives:
% 52.48/8.17 | (15) all_4_0 = n8
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n4, n4, simplifying with
% 52.48/8.17 | (13), (14) gives:
% 52.48/8.17 | (16) all_4_0 = all_4_3
% 52.48/8.17 |
% 52.48/8.17 | REF_CLOSE: (5), (15), (16) are inconsistent by sub-proof #101.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #19 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) sum(n11, n11) = n6
% 52.48/8.17 (2) sum(n11, n11) = all_4_3
% 52.48/8.17 (3) sum(n0, n6) = n6
% 52.48/8.17 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (5) sum(n0, n6) = all_4_0
% 52.48/8.17 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n6, all_4_0, n6, n0, simplifying with (3),
% 52.48/8.17 | (5) gives:
% 52.48/8.17 | (7) all_4_0 = n6
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n6, all_4_3, n11, n11, simplifying with
% 52.48/8.17 | (1), (2) gives:
% 52.48/8.17 | (8) all_4_3 = n6
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (4), (7), (8) imply:
% 52.48/8.17 | (9) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (9) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #20 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) sum(n12, n12) = all_4_3
% 52.48/8.17 (2) sum(n12, n12) = n8
% 52.48/8.17 (3) sum(n2, n6) = n8
% 52.48/8.17 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (5) sum(n2, n6) = all_4_0
% 52.48/8.17 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n8, all_4_0, n6, n2, simplifying with (3),
% 52.48/8.17 | (5) gives:
% 52.48/8.17 | (7) all_4_0 = n8
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n8, all_4_3, n12, n12, simplifying with
% 52.48/8.17 | (1), (2) gives:
% 52.48/8.17 | (8) all_4_3 = n8
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (4), (7), (8) imply:
% 52.48/8.17 | (9) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (9) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #21 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) sum(n4, n6) = n10
% 52.48/8.17 (2) sum(n13, n13) = all_4_3
% 52.48/8.17 (3) sum(n13, n13) = n10
% 52.48/8.17 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (5) sum(n4, n6) = all_4_0
% 52.48/8.17 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n10, all_4_0, n6, n4, simplifying with
% 52.48/8.17 | (1), (5) gives:
% 52.48/8.17 | (7) all_4_0 = n10
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n10, all_4_3, n13, n13, simplifying with
% 52.48/8.17 | (2), (3) gives:
% 52.48/8.17 | (8) all_4_3 = n10
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (4), (7), (8) imply:
% 52.48/8.17 | (9) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (9) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #22 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) all_4_4 = n3
% 52.48/8.17 (2) sum(n3, n3) = n6
% 52.48/8.17 (3) sum(all_4_2, n6) = all_4_0
% 52.48/8.17 (4) all_4_7 = n3
% 52.48/8.17 (5) all_4_2 = n0
% 52.48/8.17 (6) sum(n0, n6) = n6
% 52.48/8.17 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.17 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (3), (5) imply:
% 52.48/8.17 | (10) sum(n0, n6) = all_4_0
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (1), (4), (7) imply:
% 52.48/8.17 | (11) sum(n3, n3) = all_4_3
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n6, all_4_0, n6, n0, simplifying with (6),
% 52.48/8.17 | (10) gives:
% 52.48/8.17 | (12) all_4_0 = n6
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n6, all_4_3, n3, n3, simplifying with (2),
% 52.48/8.17 | (11) gives:
% 52.48/8.17 | (13) all_4_3 = n6
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (8), (12), (13) imply:
% 52.48/8.17 | (14) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (14) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #23 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) sum(n4, n4) = n8
% 52.48/8.17 (2) all_4_7 = n4
% 52.48/8.17 (3) all_4_4 = n4
% 52.48/8.17 (4) sum(all_4_2, n6) = all_4_0
% 52.48/8.17 (5) all_4_2 = n2
% 52.48/8.17 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.17 (7) sum(n2, n6) = n8
% 52.48/8.17 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (4), (5) imply:
% 52.48/8.17 | (10) sum(n2, n6) = all_4_0
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (2), (3), (6) imply:
% 52.48/8.17 | (11) sum(n4, n4) = all_4_3
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n8, all_4_0, n6, n2, simplifying with (7),
% 52.48/8.17 | (10) gives:
% 52.48/8.17 | (12) all_4_0 = n8
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.48/8.17 | (11) gives:
% 52.48/8.17 | (13) all_4_3 = n8
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (8), (12), (13) imply:
% 52.48/8.17 | (14) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (14) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #24 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) all_4_7 = n5
% 52.48/8.17 (2) sum(all_4_2, n6) = all_4_0
% 52.48/8.17 (3) sum(n4, n6) = n10
% 52.48/8.17 (4) sum(n5, n5) = n10
% 52.48/8.17 (5) all_4_4 = n5
% 52.48/8.17 (6) all_4_2 = n4
% 52.48/8.17 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.17 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (2), (6) imply:
% 52.48/8.17 | (10) sum(n4, n6) = all_4_0
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (1), (5), (7) imply:
% 52.48/8.17 | (11) sum(n5, n5) = all_4_3
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n10, all_4_0, n6, n4, simplifying with
% 52.48/8.17 | (3), (10) gives:
% 52.48/8.17 | (12) all_4_0 = n10
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with
% 52.48/8.17 | (4), (11) gives:
% 52.48/8.17 | (13) all_4_3 = n10
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (8), (12), (13) imply:
% 52.48/8.17 | (14) $false
% 52.48/8.17 |
% 52.48/8.17 | CLOSE: (14) is inconsistent.
% 52.48/8.17 |
% 52.48/8.17 End of proof
% 52.48/8.17
% 52.48/8.17 Sub-proof #25 shows that the following formulas are inconsistent:
% 52.48/8.17 ----------------------------------------------------------------
% 52.48/8.17 (1) sum(n11, n11) = n6
% 52.48/8.17 (2) sum(n11, n11) = all_4_3
% 52.48/8.17 (3) sum(n6, n0) = all_4_0
% 52.48/8.17 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.17 (5) sum(n6, n0) = n6
% 52.48/8.17 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.17 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.17
% 52.48/8.17 Begin of proof
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n6, all_4_0, n0, n6, simplifying with (3),
% 52.48/8.17 | (5) gives:
% 52.48/8.17 | (7) all_4_0 = n6
% 52.48/8.17 |
% 52.48/8.17 | GROUND_INST: instantiating (6) with n6, all_4_3, n11, n11, simplifying with
% 52.48/8.17 | (1), (2) gives:
% 52.48/8.17 | (8) all_4_3 = n6
% 52.48/8.17 |
% 52.48/8.17 | REDUCE: (4), (7), (8) imply:
% 52.48/8.17 | (9) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (9) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #26 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) sum(n6, n2) = all_4_0
% 52.48/8.18 (2) sum(n12, n12) = all_4_3
% 52.48/8.18 (3) sum(n12, n12) = n8
% 52.48/8.18 (4) sum(n6, n2) = n8
% 52.48/8.18 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (6) with n8, all_4_0, n2, n6, simplifying with (1),
% 52.48/8.18 | (4) gives:
% 52.48/8.18 | (7) all_4_0 = n8
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (6) with n8, all_4_3, n12, n12, simplifying with
% 52.48/8.18 | (2), (3) gives:
% 52.48/8.18 | (8) all_4_3 = n8
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (5), (7), (8) imply:
% 52.48/8.18 | (9) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (9) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #27 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) sum(n13, n13) = all_4_3
% 52.48/8.18 (2) sum(n6, n4) = n10
% 52.48/8.18 (3) sum(n13, n13) = n10
% 52.48/8.18 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18 (6) sum(n6, n4) = all_4_0
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (5) with n10, all_4_0, n4, n6, simplifying with
% 52.48/8.18 | (2), (6) gives:
% 52.48/8.18 | (7) all_4_0 = n10
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (5) with n10, all_4_3, n13, n13, simplifying with
% 52.48/8.18 | (1), (3) gives:
% 52.48/8.18 | (8) all_4_3 = n10
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (4), (7), (8) imply:
% 52.48/8.18 | (9) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (9) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #28 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) sum(n14, n14) = all_4_3
% 52.48/8.18 (2) sum(n6, n6) = all_4_0
% 52.48/8.18 (3) sum(n6, n6) = n12
% 52.48/8.18 (4) sum(n14, n14) = n12
% 52.48/8.18 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (6) with n12, all_4_0, n6, n6, simplifying with
% 52.48/8.18 | (2), (3) gives:
% 52.48/8.18 | (7) all_4_0 = n12
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.48/8.18 | (1), (4) gives:
% 52.48/8.18 | (8) all_4_3 = n12
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (5), (7), (8) imply:
% 52.48/8.18 | (9) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (9) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #29 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) all_4_4 = n3
% 52.48/8.18 (2) all_4_1 = n0
% 52.48/8.18 (3) sum(n3, n3) = n6
% 52.48/8.18 (4) all_4_7 = n3
% 52.48/8.18 (5) sum(n6, all_4_1) = all_4_0
% 52.48/8.18 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.18 (7) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (8) sum(n6, n0) = n6
% 52.48/8.18 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (1), (4), (6) imply:
% 52.48/8.18 | (10) sum(n3, n3) = all_4_3
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (2), (5) imply:
% 52.48/8.18 | (11) sum(n6, n0) = all_4_0
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (9) with n6, all_4_3, n3, n3, simplifying with (3),
% 52.48/8.18 | (10) gives:
% 52.48/8.18 | (12) all_4_3 = n6
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (9) with n6, all_4_0, n0, n6, simplifying with (8),
% 52.48/8.18 | (11) gives:
% 52.48/8.18 | (13) all_4_0 = n6
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (7), (12), (13) imply:
% 52.48/8.18 | (14) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (14) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #30 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) sum(n4, n4) = n8
% 52.48/8.18 (2) all_4_7 = n4
% 52.48/8.18 (3) all_4_1 = n2
% 52.48/8.18 (4) all_4_4 = n4
% 52.48/8.18 (5) sum(n6, all_4_1) = all_4_0
% 52.48/8.18 (6) sum(n6, n2) = n8
% 52.48/8.18 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.18 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (2), (4), (7) imply:
% 52.48/8.18 | (10) sum(n4, n4) = all_4_3
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (3), (5) imply:
% 52.48/8.18 | (11) sum(n6, n2) = all_4_0
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.48/8.18 | (10) gives:
% 52.48/8.18 | (12) all_4_3 = n8
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (9) with n8, all_4_0, n2, n6, simplifying with (6),
% 52.48/8.18 | (11) gives:
% 52.48/8.18 | (13) all_4_0 = n8
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (8), (12), (13) imply:
% 52.48/8.18 | (14) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (14) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #31 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) all_4_1 = n4
% 52.48/8.18 (2) all_4_7 = n5
% 52.48/8.18 (3) sum(n5, n5) = n10
% 52.48/8.18 (4) sum(n6, n4) = n10
% 52.48/8.18 (5) sum(n6, all_4_1) = all_4_0
% 52.48/8.18 (6) all_4_4 = n5
% 52.48/8.18 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.18 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (2), (6), (7) imply:
% 52.48/8.18 | (10) sum(n5, n5) = all_4_3
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (1), (5) imply:
% 52.48/8.18 | (11) sum(n6, n4) = all_4_0
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with
% 52.48/8.18 | (3), (10) gives:
% 52.48/8.18 | (12) all_4_3 = n10
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (9) with n10, all_4_0, n4, n6, simplifying with
% 52.48/8.18 | (4), (11) gives:
% 52.48/8.18 | (13) all_4_0 = n10
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (8), (12), (13) imply:
% 52.48/8.18 | (14) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (14) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #32 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) all_4_4 = n6
% 52.48/8.18 (2) all_4_1 = all_4_7
% 52.48/8.18 (3) sum(n6, all_4_1) = all_4_0
% 52.48/8.18 (4) sum(n6, n6) = n12
% 52.48/8.18 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.18 (6) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (7) all_4_1 = all_4_4
% 52.48/8.18 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | COMBINE_EQS: (2), (7) imply:
% 52.48/8.18 | (9) all_4_4 = all_4_7
% 52.48/8.18 |
% 52.48/8.18 | SIMP: (9) implies:
% 52.48/8.18 | (10) all_4_4 = all_4_7
% 52.48/8.18 |
% 52.48/8.18 | COMBINE_EQS: (1), (10) imply:
% 52.48/8.18 | (11) all_4_7 = n6
% 52.48/8.18 |
% 52.48/8.18 | COMBINE_EQS: (2), (11) imply:
% 52.48/8.18 | (12) all_4_1 = n6
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (1), (5), (11) imply:
% 52.48/8.18 | (13) sum(n6, n6) = all_4_3
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (3), (12) imply:
% 52.48/8.18 | (14) sum(n6, n6) = all_4_0
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (8) with n12, all_4_0, n6, n6, simplifying with
% 52.48/8.18 | (4), (14) gives:
% 52.48/8.18 | (15) all_4_0 = n12
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n6, n6, simplifying with
% 52.48/8.18 | (13), (14) gives:
% 52.48/8.18 | (16) all_4_0 = all_4_3
% 52.48/8.18 |
% 52.48/8.18 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #132.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #33 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) sum(n12, n12) = all_4_3
% 52.48/8.18 (2) sum(n12, n12) = n8
% 52.48/8.18 (3) sum(n0, n8) = all_4_0
% 52.48/8.18 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.18 (5) sum(n0, n8) = n8
% 52.48/8.18 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.18 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.18
% 52.48/8.18 Begin of proof
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (6) with n8, all_4_0, n8, n0, simplifying with (3),
% 52.48/8.18 | (5) gives:
% 52.48/8.18 | (7) all_4_0 = n8
% 52.48/8.18 |
% 52.48/8.18 | GROUND_INST: instantiating (6) with n8, all_4_3, n12, n12, simplifying with
% 52.48/8.18 | (1), (2) gives:
% 52.48/8.18 | (8) all_4_3 = n8
% 52.48/8.18 |
% 52.48/8.18 | REDUCE: (4), (7), (8) imply:
% 52.48/8.18 | (9) $false
% 52.48/8.18 |
% 52.48/8.18 | CLOSE: (9) is inconsistent.
% 52.48/8.18 |
% 52.48/8.18 End of proof
% 52.48/8.18
% 52.48/8.18 Sub-proof #34 shows that the following formulas are inconsistent:
% 52.48/8.18 ----------------------------------------------------------------
% 52.48/8.18 (1) sum(n13, n13) = all_4_3
% 52.48/8.18 (2) sum(n2, n8) = all_4_0
% 52.48/8.18 (3) sum(n13, n13) = n10
% 52.48/8.18 (4) sum(n2, n8) = n10
% 52.48/8.18 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n10, all_4_0, n8, n2, simplifying with
% 52.48/8.19 | (2), (4) gives:
% 52.48/8.19 | (7) all_4_0 = n10
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n10, all_4_3, n13, n13, simplifying with
% 52.48/8.19 | (1), (3) gives:
% 52.48/8.19 | (8) all_4_3 = n10
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (5), (7), (8) imply:
% 52.48/8.19 | (9) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (9) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #35 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) sum(n14, n14) = all_4_3
% 52.48/8.19 (2) sum(n4, n8) = all_4_0
% 52.48/8.19 (3) sum(n4, n8) = n12
% 52.48/8.19 (4) sum(n14, n14) = n12
% 52.48/8.19 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n12, all_4_0, n8, n4, simplifying with
% 52.48/8.19 | (2), (3) gives:
% 52.48/8.19 | (7) all_4_0 = n12
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.48/8.19 | (1), (4) gives:
% 52.48/8.19 | (8) all_4_3 = n12
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (5), (7), (8) imply:
% 52.48/8.19 | (9) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (9) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #36 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) sum(n6, n8) = all_4_0
% 52.48/8.19 (2) sum(n15, n15) = all_4_3
% 52.48/8.19 (3) sum(n6, n8) = n14
% 52.48/8.19 (4) sum(n15, n15) = n14
% 52.48/8.19 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n14, all_4_0, n8, n6, simplifying with
% 52.48/8.19 | (1), (3) gives:
% 52.48/8.19 | (7) all_4_0 = n14
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.48/8.19 | (2), (4) gives:
% 52.48/8.19 | (8) all_4_3 = n14
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (5), (7), (8) imply:
% 52.48/8.19 | (9) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (9) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #37 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) sum(n4, n4) = n8
% 52.48/8.19 (2) all_4_7 = n4
% 52.48/8.19 (3) all_4_4 = n4
% 52.48/8.19 (4) sum(all_4_2, n8) = all_4_0
% 52.48/8.19 (5) all_4_2 = n0
% 52.48/8.19 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.19 (7) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (8) sum(n0, n8) = n8
% 52.48/8.19 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (4), (5) imply:
% 52.48/8.19 | (10) sum(n0, n8) = all_4_0
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (2), (3), (6) imply:
% 52.48/8.19 | (11) sum(n4, n4) = all_4_3
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n8, all_4_0, n8, n0, simplifying with (8),
% 52.48/8.19 | (10) gives:
% 52.48/8.19 | (12) all_4_0 = n8
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.48/8.19 | (11) gives:
% 52.48/8.19 | (13) all_4_3 = n8
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (7), (12), (13) imply:
% 52.48/8.19 | (14) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (14) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #38 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) all_4_7 = n5
% 52.48/8.19 (2) sum(n5, n5) = n10
% 52.48/8.19 (3) sum(all_4_2, n8) = all_4_0
% 52.48/8.19 (4) all_4_4 = n5
% 52.48/8.19 (5) all_4_2 = n2
% 52.48/8.19 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.19 (7) sum(n2, n8) = n10
% 52.48/8.19 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (3), (5) imply:
% 52.48/8.19 | (10) sum(n2, n8) = all_4_0
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (1), (4), (6) imply:
% 52.48/8.19 | (11) sum(n5, n5) = all_4_3
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n10, all_4_0, n8, n2, simplifying with
% 52.48/8.19 | (7), (10) gives:
% 52.48/8.19 | (12) all_4_0 = n10
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with
% 52.48/8.19 | (2), (11) gives:
% 52.48/8.19 | (13) all_4_3 = n10
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (8), (12), (13) imply:
% 52.48/8.19 | (14) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (14) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #39 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) all_4_7 = n6
% 52.48/8.19 (2) all_4_4 = n6
% 52.48/8.19 (3) sum(all_4_2, n8) = all_4_0
% 52.48/8.19 (4) all_4_2 = n4
% 52.48/8.19 (5) sum(n6, n6) = n12
% 52.48/8.19 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.19 (7) sum(n4, n8) = n12
% 52.48/8.19 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (3), (4) imply:
% 52.48/8.19 | (10) sum(n4, n8) = all_4_0
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (1), (2), (6) imply:
% 52.48/8.19 | (11) sum(n6, n6) = all_4_3
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n12, all_4_0, n8, n4, simplifying with
% 52.48/8.19 | (7), (10) gives:
% 52.48/8.19 | (12) all_4_0 = n12
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with
% 52.48/8.19 | (5), (11) gives:
% 52.48/8.19 | (13) all_4_3 = n12
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (8), (12), (13) imply:
% 52.48/8.19 | (14) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (14) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #40 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) sum(n7, n7) = n14
% 52.48/8.19 (2) all_4_7 = n7
% 52.48/8.19 (3) all_4_2 = n6
% 52.48/8.19 (4) sum(n6, n8) = n14
% 52.48/8.19 (5) sum(all_4_2, n8) = all_4_0
% 52.48/8.19 (6) all_4_4 = n7
% 52.48/8.19 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.19 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (3), (5) imply:
% 52.48/8.19 | (10) sum(n6, n8) = all_4_0
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (2), (6), (7) imply:
% 52.48/8.19 | (11) sum(n7, n7) = all_4_3
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n14, all_4_0, n8, n6, simplifying with
% 52.48/8.19 | (4), (10) gives:
% 52.48/8.19 | (12) all_4_0 = n14
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.48/8.19 | (1), (11) gives:
% 52.48/8.19 | (13) all_4_3 = n14
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (8), (12), (13) imply:
% 52.48/8.19 | (14) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (14) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #41 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) sum(n12, n12) = all_4_3
% 52.48/8.19 (2) sum(n12, n12) = n8
% 52.48/8.19 (3) sum(n8, n0) = n8
% 52.48/8.19 (4) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (5) sum(n8, n0) = all_4_0
% 52.48/8.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n8, all_4_0, n0, n8, simplifying with (3),
% 52.48/8.19 | (5) gives:
% 52.48/8.19 | (7) all_4_0 = n8
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n8, all_4_3, n12, n12, simplifying with
% 52.48/8.19 | (1), (2) gives:
% 52.48/8.19 | (8) all_4_3 = n8
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (4), (7), (8) imply:
% 52.48/8.19 | (9) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (9) is inconsistent.
% 52.48/8.19 |
% 52.48/8.19 End of proof
% 52.48/8.19
% 52.48/8.19 Sub-proof #42 shows that the following formulas are inconsistent:
% 52.48/8.19 ----------------------------------------------------------------
% 52.48/8.19 (1) sum(n8, n2) = all_4_0
% 52.48/8.19 (2) sum(n13, n13) = all_4_3
% 52.48/8.19 (3) sum(n13, n13) = n10
% 52.48/8.19 (4) sum(n8, n2) = n10
% 52.48/8.19 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.19 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.19
% 52.48/8.19 Begin of proof
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n10, all_4_0, n2, n8, simplifying with
% 52.48/8.19 | (1), (4) gives:
% 52.48/8.19 | (7) all_4_0 = n10
% 52.48/8.19 |
% 52.48/8.19 | GROUND_INST: instantiating (6) with n10, all_4_3, n13, n13, simplifying with
% 52.48/8.19 | (2), (3) gives:
% 52.48/8.19 | (8) all_4_3 = n10
% 52.48/8.19 |
% 52.48/8.19 | REDUCE: (5), (7), (8) imply:
% 52.48/8.19 | (9) $false
% 52.48/8.19 |
% 52.48/8.19 | CLOSE: (9) is inconsistent.
% 52.48/8.19 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #43 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n14, n14) = all_4_3
% 52.48/8.20 (2) sum(n8, n4) = n12
% 52.48/8.20 (3) sum(n8, n4) = all_4_0
% 52.48/8.20 (4) sum(n14, n14) = n12
% 52.48/8.20 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (6) with n12, all_4_0, n4, n8, simplifying with
% 52.48/8.20 | (2), (3) gives:
% 52.48/8.20 | (7) all_4_0 = n12
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.48/8.20 | (1), (4) gives:
% 52.48/8.20 | (8) all_4_3 = n12
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (5), (7), (8) imply:
% 52.48/8.20 | (9) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (9) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #44 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n15, n15) = all_4_3
% 52.48/8.20 (2) sum(n15, n15) = n14
% 52.48/8.20 (3) sum(n8, n6) = n14
% 52.48/8.20 (4) sum(n8, n6) = all_4_0
% 52.48/8.20 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (6) with n14, all_4_0, n6, n8, simplifying with
% 52.48/8.20 | (3), (4) gives:
% 52.48/8.20 | (7) all_4_0 = n14
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.48/8.20 | (1), (2) gives:
% 52.48/8.20 | (8) all_4_3 = n14
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (5), (7), (8) imply:
% 52.48/8.20 | (9) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (9) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #45 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n8, n8) = n0
% 52.48/8.20 (2) sum(n0, n0) = all_4_3
% 52.48/8.20 (3) sum(n0, n0) = n0
% 52.48/8.20 (4) sum(n8, n8) = all_4_0
% 52.48/8.20 (5) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2),
% 52.48/8.20 | (3) gives:
% 52.48/8.20 | (7) all_4_3 = n0
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (6) with n0, all_4_0, n8, n8, simplifying with (1),
% 52.48/8.20 | (4) gives:
% 52.48/8.20 | (8) all_4_0 = n0
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (5), (7), (8) imply:
% 52.48/8.20 | (9) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (9) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #46 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n4, n4) = n8
% 52.48/8.20 (2) all_4_7 = n4
% 52.48/8.20 (3) all_4_1 = n0
% 52.48/8.20 (4) all_4_4 = n4
% 52.48/8.20 (5) sum(n8, all_4_1) = all_4_0
% 52.48/8.20 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.20 (7) sum(n8, n0) = n8
% 52.48/8.20 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (2), (4), (6) imply:
% 52.48/8.20 | (10) sum(n4, n4) = all_4_3
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (3), (5) imply:
% 52.48/8.20 | (11) sum(n8, n0) = all_4_0
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.48/8.20 | (10) gives:
% 52.48/8.20 | (12) all_4_3 = n8
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n8, all_4_0, n0, n8, simplifying with (7),
% 52.48/8.20 | (11) gives:
% 52.48/8.20 | (13) all_4_0 = n8
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (8), (12), (13) imply:
% 52.48/8.20 | (14) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (14) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #47 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) all_4_1 = n2
% 52.48/8.20 (2) all_4_7 = n5
% 52.48/8.20 (3) sum(n5, n5) = n10
% 52.48/8.20 (4) sum(n8, all_4_1) = all_4_0
% 52.48/8.20 (5) all_4_4 = n5
% 52.48/8.20 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.20 (7) sum(n8, n2) = n10
% 52.48/8.20 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (2), (5), (6) imply:
% 52.48/8.20 | (10) sum(n5, n5) = all_4_3
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (1), (4) imply:
% 52.48/8.20 | (11) sum(n8, n2) = all_4_0
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with
% 52.48/8.20 | (3), (10) gives:
% 52.48/8.20 | (12) all_4_3 = n10
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n10, all_4_0, n2, n8, simplifying with
% 52.48/8.20 | (7), (11) gives:
% 52.48/8.20 | (13) all_4_0 = n10
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (8), (12), (13) imply:
% 52.48/8.20 | (14) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (14) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #48 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n8, n4) = n12
% 52.48/8.20 (2) all_4_1 = n4
% 52.48/8.20 (3) all_4_7 = n6
% 52.48/8.20 (4) all_4_4 = n6
% 52.48/8.20 (5) sum(n8, all_4_1) = all_4_0
% 52.48/8.20 (6) sum(n6, n6) = n12
% 52.48/8.20 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.20 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (3), (4), (7) imply:
% 52.48/8.20 | (10) sum(n6, n6) = all_4_3
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (2), (5) imply:
% 52.48/8.20 | (11) sum(n8, n4) = all_4_0
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with
% 52.48/8.20 | (6), (10) gives:
% 52.48/8.20 | (12) all_4_3 = n12
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n12, all_4_0, n4, n8, simplifying with
% 52.48/8.20 | (1), (11) gives:
% 52.48/8.20 | (13) all_4_0 = n12
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (8), (12), (13) imply:
% 52.48/8.20 | (14) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (14) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #49 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n7, n7) = n14
% 52.48/8.20 (2) all_4_1 = n6
% 52.48/8.20 (3) all_4_7 = n7
% 52.48/8.20 (4) sum(n8, n6) = n14
% 52.48/8.20 (5) all_4_4 = n7
% 52.48/8.20 (6) sum(n8, all_4_1) = all_4_0
% 52.48/8.20 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.20 (8) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (3), (5), (7) imply:
% 52.48/8.20 | (10) sum(n7, n7) = all_4_3
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (2), (6) imply:
% 52.48/8.20 | (11) sum(n8, n6) = all_4_0
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.48/8.20 | (1), (10) gives:
% 52.48/8.20 | (12) all_4_3 = n14
% 52.48/8.20 |
% 52.48/8.20 | GROUND_INST: instantiating (9) with n14, all_4_0, n6, n8, simplifying with
% 52.48/8.20 | (4), (11) gives:
% 52.48/8.20 | (13) all_4_0 = n14
% 52.48/8.20 |
% 52.48/8.20 | REDUCE: (8), (12), (13) imply:
% 52.48/8.20 | (14) $false
% 52.48/8.20 |
% 52.48/8.20 | CLOSE: (14) is inconsistent.
% 52.48/8.20 |
% 52.48/8.20 End of proof
% 52.48/8.20
% 52.48/8.20 Sub-proof #50 shows that the following formulas are inconsistent:
% 52.48/8.20 ----------------------------------------------------------------
% 52.48/8.20 (1) sum(n8, n8) = n0
% 52.48/8.20 (2) all_4_4 = n8
% 52.48/8.20 (3) all_4_1 = all_4_7
% 52.48/8.20 (4) sum(n8, all_4_1) = all_4_0
% 52.48/8.20 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.48/8.20 (6) ~ (all_4_0 = all_4_3)
% 52.48/8.20 (7) all_4_1 = all_4_4
% 52.48/8.20 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.48/8.20 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.48/8.20
% 52.48/8.20 Begin of proof
% 52.48/8.20 |
% 52.48/8.20 | COMBINE_EQS: (3), (7) imply:
% 52.48/8.20 | (9) all_4_4 = all_4_7
% 52.48/8.20 |
% 52.48/8.20 | SIMP: (9) implies:
% 52.48/8.20 | (10) all_4_4 = all_4_7
% 52.48/8.20 |
% 52.48/8.20 | COMBINE_EQS: (2), (10) imply:
% 52.48/8.20 | (11) all_4_7 = n8
% 52.48/8.20 |
% 52.48/8.20 | COMBINE_EQS: (3), (11) imply:
% 52.82/8.20 | (12) all_4_1 = n8
% 52.82/8.20 |
% 52.82/8.20 | REDUCE: (2), (5), (11) imply:
% 52.82/8.20 | (13) sum(n8, n8) = all_4_3
% 52.82/8.20 |
% 52.82/8.20 | REDUCE: (4), (12) imply:
% 52.82/8.20 | (14) sum(n8, n8) = all_4_0
% 52.82/8.20 |
% 52.82/8.20 | GROUND_INST: instantiating (8) with n0, all_4_0, n8, n8, simplifying with (1),
% 52.82/8.20 | (14) gives:
% 52.82/8.20 | (15) all_4_0 = n0
% 52.82/8.20 |
% 52.82/8.20 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n8, n8, simplifying with
% 52.82/8.20 | (13), (14) gives:
% 52.82/8.20 | (16) all_4_0 = all_4_3
% 52.82/8.20 |
% 52.82/8.21 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #51.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #51 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) all_4_0 = n0
% 52.82/8.21 (2) all_4_0 = all_4_3
% 52.82/8.21 (3) ~ (all_4_0 = all_4_3)
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | COMBINE_EQS: (1), (2) imply:
% 52.82/8.21 | (4) all_4_3 = n0
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (1), (3), (4) imply:
% 52.82/8.21 | (5) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (5) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #52 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n0, n10) = n10
% 52.82/8.21 (2) sum(n13, n13) = all_4_3
% 52.82/8.21 (3) sum(n13, n13) = n10
% 52.82/8.21 (4) sum(n0, n10) = all_4_0
% 52.82/8.21 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n10, all_4_0, n10, n0, simplifying with
% 52.82/8.21 | (1), (4) gives:
% 52.82/8.21 | (7) all_4_0 = n10
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n10, all_4_3, n13, n13, simplifying with
% 52.82/8.21 | (2), (3) gives:
% 52.82/8.21 | (8) all_4_3 = n10
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (5), (7), (8) imply:
% 52.82/8.21 | (9) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (9) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #53 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n14, n14) = all_4_3
% 52.82/8.21 (2) sum(n2, n10) = n12
% 52.82/8.21 (3) sum(n2, n10) = all_4_0
% 52.82/8.21 (4) sum(n14, n14) = n12
% 52.82/8.21 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n12, all_4_0, n10, n2, simplifying with
% 52.82/8.21 | (2), (3) gives:
% 52.82/8.21 | (7) all_4_0 = n12
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.82/8.21 | (1), (4) gives:
% 52.82/8.21 | (8) all_4_3 = n12
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (5), (7), (8) imply:
% 52.82/8.21 | (9) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (9) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #54 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n4, n10) = n14
% 52.82/8.21 (2) sum(n15, n15) = all_4_3
% 52.82/8.21 (3) sum(n15, n15) = n14
% 52.82/8.21 (4) sum(n4, n10) = all_4_0
% 52.82/8.21 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n14, all_4_0, n10, n4, simplifying with
% 52.82/8.21 | (1), (4) gives:
% 52.82/8.21 | (7) all_4_0 = n14
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.82/8.21 | (2), (3) gives:
% 52.82/8.21 | (8) all_4_3 = n14
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (5), (7), (8) imply:
% 52.82/8.21 | (9) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (9) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #55 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n6, n10) = all_4_0
% 52.82/8.21 (2) sum(n0, n0) = all_4_3
% 52.82/8.21 (3) sum(n0, n0) = n0
% 52.82/8.21 (4) sum(n6, n10) = n0
% 52.82/8.21 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2),
% 52.82/8.21 | (3) gives:
% 52.82/8.21 | (7) all_4_3 = n0
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n0, all_4_0, n10, n6, simplifying with
% 52.82/8.21 | (1), (4) gives:
% 52.82/8.21 | (8) all_4_0 = n0
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (5), (7), (8) imply:
% 52.82/8.21 | (9) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (9) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #56 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n8, n10) = n2
% 52.82/8.21 (2) sum(n1, n1) = n2
% 52.82/8.21 (3) sum(n1, n1) = all_4_3
% 52.82/8.21 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (5) sum(n8, n10) = all_4_0
% 52.82/8.21 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (2),
% 52.82/8.21 | (3) gives:
% 52.82/8.21 | (7) all_4_3 = n2
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (6) with n2, all_4_0, n10, n8, simplifying with
% 52.82/8.21 | (1), (5) gives:
% 52.82/8.21 | (8) all_4_0 = n2
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (4), (7), (8) imply:
% 52.82/8.21 | (9) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (9) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #57 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) all_4_7 = n5
% 52.82/8.21 (2) sum(n0, n10) = n10
% 52.82/8.21 (3) sum(n5, n5) = n10
% 52.82/8.21 (4) all_4_2 = n0
% 52.82/8.21 (5) all_4_4 = n5
% 52.82/8.21 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.21 (7) sum(all_4_2, n10) = all_4_0
% 52.82/8.21 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (4), (7) imply:
% 52.82/8.21 | (10) sum(n0, n10) = all_4_0
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (1), (5), (6) imply:
% 52.82/8.21 | (11) sum(n5, n5) = all_4_3
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (9) with n10, all_4_0, n10, n0, simplifying with
% 52.82/8.21 | (2), (10) gives:
% 52.82/8.21 | (12) all_4_0 = n10
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with
% 52.82/8.21 | (3), (11) gives:
% 52.82/8.21 | (13) all_4_3 = n10
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (8), (12), (13) imply:
% 52.82/8.21 | (14) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (14) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #58 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n2, n10) = n12
% 52.82/8.21 (2) all_4_7 = n6
% 52.82/8.21 (3) all_4_4 = n6
% 52.82/8.21 (4) sum(n6, n6) = n12
% 52.82/8.21 (5) all_4_2 = n2
% 52.82/8.21 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.21 (7) sum(all_4_2, n10) = all_4_0
% 52.82/8.21 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (5), (7) imply:
% 52.82/8.21 | (10) sum(n2, n10) = all_4_0
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (2), (3), (6) imply:
% 52.82/8.21 | (11) sum(n6, n6) = all_4_3
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (9) with n12, all_4_0, n10, n2, simplifying with
% 52.82/8.21 | (1), (10) gives:
% 52.82/8.21 | (12) all_4_0 = n12
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with
% 52.82/8.21 | (4), (11) gives:
% 52.82/8.21 | (13) all_4_3 = n12
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (8), (12), (13) imply:
% 52.82/8.21 | (14) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (14) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #59 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n7, n7) = n14
% 52.82/8.21 (2) sum(n4, n10) = n14
% 52.82/8.21 (3) all_4_7 = n7
% 52.82/8.21 (4) all_4_4 = n7
% 52.82/8.21 (5) all_4_2 = n4
% 52.82/8.21 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.21 (7) sum(all_4_2, n10) = all_4_0
% 52.82/8.21 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.21 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.21 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.21
% 52.82/8.21 Begin of proof
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (5), (7) imply:
% 52.82/8.21 | (10) sum(n4, n10) = all_4_0
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (3), (4), (6) imply:
% 52.82/8.21 | (11) sum(n7, n7) = all_4_3
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (9) with n14, all_4_0, n10, n4, simplifying with
% 52.82/8.21 | (2), (10) gives:
% 52.82/8.21 | (12) all_4_0 = n14
% 52.82/8.21 |
% 52.82/8.21 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.82/8.21 | (1), (11) gives:
% 52.82/8.21 | (13) all_4_3 = n14
% 52.82/8.21 |
% 52.82/8.21 | REDUCE: (8), (12), (13) imply:
% 52.82/8.21 | (14) $false
% 52.82/8.21 |
% 52.82/8.21 | CLOSE: (14) is inconsistent.
% 52.82/8.21 |
% 52.82/8.21 End of proof
% 52.82/8.21
% 52.82/8.21 Sub-proof #60 shows that the following formulas are inconsistent:
% 52.82/8.21 ----------------------------------------------------------------
% 52.82/8.21 (1) sum(n8, n8) = n0
% 52.82/8.21 (2) all_4_7 = n8
% 52.82/8.21 (3) all_4_2 = n6
% 52.82/8.21 (4) all_4_4 = n8
% 52.82/8.21 (5) sum(n6, n10) = n0
% 52.82/8.21 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.21 (7) sum(all_4_2, n10) = all_4_0
% 52.82/8.21 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (3), (7) imply:
% 52.82/8.22 | (10) sum(n6, n10) = all_4_0
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (2), (4), (6) imply:
% 52.82/8.22 | (11) sum(n8, n8) = all_4_3
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (9) with n0, all_4_0, n10, n6, simplifying with
% 52.82/8.22 | (5), (10) gives:
% 52.82/8.22 | (12) all_4_0 = n0
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (9) with n0, all_4_3, n8, n8, simplifying with (1),
% 52.82/8.22 | (11) gives:
% 52.82/8.22 | (13) all_4_3 = n0
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (8), (12), (13) imply:
% 52.82/8.22 | (14) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (14) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #61 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) all_4_4 = n9
% 52.82/8.22 (2) sum(n8, n10) = n2
% 52.82/8.22 (3) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.22 (4) all_4_7 = n9
% 52.82/8.22 (5) sum(n9, n9) = n2
% 52.82/8.22 (6) sum(all_4_2, n10) = all_4_0
% 52.82/8.22 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (8) all_4_2 = n8
% 52.82/8.22 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (6), (8) imply:
% 52.82/8.22 | (10) sum(n8, n10) = all_4_0
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (1), (3), (4) imply:
% 52.82/8.22 | (11) sum(n9, n9) = all_4_3
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (9) with n2, all_4_0, n10, n8, simplifying with
% 52.82/8.22 | (2), (10) gives:
% 52.82/8.22 | (12) all_4_0 = n2
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (9) with n2, all_4_3, n9, n9, simplifying with (5),
% 52.82/8.22 | (11) gives:
% 52.82/8.22 | (13) all_4_3 = n2
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (7), (12), (13) imply:
% 52.82/8.22 | (14) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (14) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #62 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n13, n13) = all_4_3
% 52.82/8.22 (2) sum(n10, n0) = all_4_0
% 52.82/8.22 (3) sum(n10, n0) = n10
% 52.82/8.22 (4) sum(n13, n13) = n10
% 52.82/8.22 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n10, all_4_0, n0, n10, simplifying with
% 52.82/8.22 | (2), (3) gives:
% 52.82/8.22 | (7) all_4_0 = n10
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n10, all_4_3, n13, n13, simplifying with
% 52.82/8.22 | (1), (4) gives:
% 52.82/8.22 | (8) all_4_3 = n10
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (5), (7), (8) imply:
% 52.82/8.22 | (9) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (9) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #63 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n14, n14) = all_4_3
% 52.82/8.22 (2) sum(n10, n2) = n12
% 52.82/8.22 (3) sum(n10, n2) = all_4_0
% 52.82/8.22 (4) sum(n14, n14) = n12
% 52.82/8.22 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n12, all_4_0, n2, n10, simplifying with
% 52.82/8.22 | (2), (3) gives:
% 52.82/8.22 | (7) all_4_0 = n12
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.82/8.22 | (1), (4) gives:
% 52.82/8.22 | (8) all_4_3 = n12
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (5), (7), (8) imply:
% 52.82/8.22 | (9) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (9) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #64 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n15, n15) = all_4_3
% 52.82/8.22 (2) sum(n15, n15) = n14
% 52.82/8.22 (3) sum(n10, n4) = all_4_0
% 52.82/8.22 (4) sum(n10, n4) = n14
% 52.82/8.22 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n14, all_4_0, n4, n10, simplifying with
% 52.82/8.22 | (3), (4) gives:
% 52.82/8.22 | (7) all_4_0 = n14
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.82/8.22 | (1), (2) gives:
% 52.82/8.22 | (8) all_4_3 = n14
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (5), (7), (8) imply:
% 52.82/8.22 | (9) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (9) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #65 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n10, n6) = n0
% 52.82/8.22 (2) sum(n0, n0) = all_4_3
% 52.82/8.22 (3) sum(n0, n0) = n0
% 52.82/8.22 (4) sum(n10, n6) = all_4_0
% 52.82/8.22 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2),
% 52.82/8.22 | (3) gives:
% 52.82/8.22 | (7) all_4_3 = n0
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n0, all_4_0, n6, n10, simplifying with
% 52.82/8.22 | (1), (4) gives:
% 52.82/8.22 | (8) all_4_0 = n0
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (5), (7), (8) imply:
% 52.82/8.22 | (9) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (9) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #66 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n10, n8) = all_4_0
% 52.82/8.22 (2) sum(n10, n8) = n2
% 52.82/8.22 (3) sum(n1, n1) = n2
% 52.82/8.22 (4) sum(n1, n1) = all_4_3
% 52.82/8.22 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (3),
% 52.82/8.22 | (4) gives:
% 52.82/8.22 | (7) all_4_3 = n2
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n2, all_4_0, n8, n10, simplifying with
% 52.82/8.22 | (1), (2) gives:
% 52.82/8.22 | (8) all_4_0 = n2
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (5), (7), (8) imply:
% 52.82/8.22 | (9) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (9) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #67 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n2, n2) = all_4_3
% 52.82/8.22 (2) sum(n10, n10) = all_4_0
% 52.82/8.22 (3) sum(n2, n2) = n4
% 52.82/8.22 (4) sum(n10, n10) = n4
% 52.82/8.22 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (1),
% 52.82/8.22 | (3) gives:
% 52.82/8.22 | (7) all_4_3 = n4
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (6) with n4, all_4_0, n10, n10, simplifying with
% 52.82/8.22 | (2), (4) gives:
% 52.82/8.22 | (8) all_4_0 = n4
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (5), (7), (8) imply:
% 52.82/8.22 | (9) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (9) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #68 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) all_4_1 = n0
% 52.82/8.22 (2) all_4_7 = n5
% 52.82/8.22 (3) sum(n5, n5) = n10
% 52.82/8.22 (4) all_4_4 = n5
% 52.82/8.22 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.22 (6) sum(n10, n0) = n10
% 52.82/8.22 (7) sum(n10, all_4_1) = all_4_0
% 52.82/8.22 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (2), (4), (5) imply:
% 52.82/8.22 | (10) sum(n5, n5) = all_4_3
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (1), (7) imply:
% 52.82/8.22 | (11) sum(n10, n0) = all_4_0
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (9) with n10, all_4_3, n5, n5, simplifying with
% 52.82/8.22 | (3), (10) gives:
% 52.82/8.22 | (12) all_4_3 = n10
% 52.82/8.22 |
% 52.82/8.22 | GROUND_INST: instantiating (9) with n10, all_4_0, n0, n10, simplifying with
% 52.82/8.22 | (6), (11) gives:
% 52.82/8.22 | (13) all_4_0 = n10
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (8), (12), (13) imply:
% 52.82/8.22 | (14) $false
% 52.82/8.22 |
% 52.82/8.22 | CLOSE: (14) is inconsistent.
% 52.82/8.22 |
% 52.82/8.22 End of proof
% 52.82/8.22
% 52.82/8.22 Sub-proof #69 shows that the following formulas are inconsistent:
% 52.82/8.22 ----------------------------------------------------------------
% 52.82/8.22 (1) sum(n10, n2) = n12
% 52.82/8.22 (2) all_4_1 = n2
% 52.82/8.22 (3) all_4_7 = n6
% 52.82/8.22 (4) all_4_4 = n6
% 52.82/8.22 (5) sum(n6, n6) = n12
% 52.82/8.22 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.22 (7) sum(n10, all_4_1) = all_4_0
% 52.82/8.22 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.22 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.22 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.22
% 52.82/8.22 Begin of proof
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (3), (4), (6) imply:
% 52.82/8.22 | (10) sum(n6, n6) = all_4_3
% 52.82/8.22 |
% 52.82/8.22 | REDUCE: (2), (7) imply:
% 52.82/8.23 | (11) sum(n10, n2) = all_4_0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with
% 52.82/8.23 | (5), (10) gives:
% 52.82/8.23 | (12) all_4_3 = n12
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n12, all_4_0, n2, n10, simplifying with
% 52.82/8.23 | (1), (11) gives:
% 52.82/8.23 | (13) all_4_0 = n12
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (8), (12), (13) imply:
% 52.82/8.23 | (14) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (14) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #70 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n7, n7) = n14
% 52.82/8.23 (2) all_4_1 = n4
% 52.82/8.23 (3) all_4_7 = n7
% 52.82/8.23 (4) all_4_4 = n7
% 52.82/8.23 (5) sum(n10, n4) = n14
% 52.82/8.23 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.23 (7) sum(n10, all_4_1) = all_4_0
% 52.82/8.23 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (3), (4), (6) imply:
% 52.82/8.23 | (10) sum(n7, n7) = all_4_3
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (2), (7) imply:
% 52.82/8.23 | (11) sum(n10, n4) = all_4_0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.82/8.23 | (1), (10) gives:
% 52.82/8.23 | (12) all_4_3 = n14
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n14, all_4_0, n4, n10, simplifying with
% 52.82/8.23 | (5), (11) gives:
% 52.82/8.23 | (13) all_4_0 = n14
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (8), (12), (13) imply:
% 52.82/8.23 | (14) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (14) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #71 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n10, n6) = n0
% 52.82/8.23 (2) sum(n8, n8) = n0
% 52.82/8.23 (3) all_4_7 = n8
% 52.82/8.23 (4) all_4_1 = n6
% 52.82/8.23 (5) all_4_4 = n8
% 52.82/8.23 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.23 (7) sum(n10, all_4_1) = all_4_0
% 52.82/8.23 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (3), (5), (6) imply:
% 52.82/8.23 | (10) sum(n8, n8) = all_4_3
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (4), (7) imply:
% 52.82/8.23 | (11) sum(n10, n6) = all_4_0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n0, all_4_3, n8, n8, simplifying with (2),
% 52.82/8.23 | (10) gives:
% 52.82/8.23 | (12) all_4_3 = n0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n0, all_4_0, n6, n10, simplifying with
% 52.82/8.23 | (1), (11) gives:
% 52.82/8.23 | (13) all_4_0 = n0
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (8), (12), (13) imply:
% 52.82/8.23 | (14) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (14) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #72 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n10, n8) = n2
% 52.82/8.23 (2) all_4_4 = n9
% 52.82/8.23 (3) all_4_1 = n8
% 52.82/8.23 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.23 (5) all_4_7 = n9
% 52.82/8.23 (6) sum(n9, n9) = n2
% 52.82/8.23 (7) sum(n10, all_4_1) = all_4_0
% 52.82/8.23 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (2), (4), (5) imply:
% 52.82/8.23 | (10) sum(n9, n9) = all_4_3
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (3), (7) imply:
% 52.82/8.23 | (11) sum(n10, n8) = all_4_0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n2, all_4_3, n9, n9, simplifying with (6),
% 52.82/8.23 | (10) gives:
% 52.82/8.23 | (12) all_4_3 = n2
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (9) with n2, all_4_0, n8, n10, simplifying with
% 52.82/8.23 | (1), (11) gives:
% 52.82/8.23 | (13) all_4_0 = n2
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (8), (12), (13) imply:
% 52.82/8.23 | (14) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (14) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #73 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) all_4_1 = all_4_7
% 52.82/8.23 (2) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.23 (3) all_4_4 = n10
% 52.82/8.23 (4) sum(n10, n10) = n4
% 52.82/8.23 (5) sum(n10, all_4_1) = all_4_0
% 52.82/8.23 (6) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (7) all_4_1 = all_4_4
% 52.82/8.23 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | COMBINE_EQS: (1), (7) imply:
% 52.82/8.23 | (9) all_4_4 = all_4_7
% 52.82/8.23 |
% 52.82/8.23 | SIMP: (9) implies:
% 52.82/8.23 | (10) all_4_4 = all_4_7
% 52.82/8.23 |
% 52.82/8.23 | COMBINE_EQS: (3), (10) imply:
% 52.82/8.23 | (11) all_4_7 = n10
% 52.82/8.23 |
% 52.82/8.23 | COMBINE_EQS: (1), (11) imply:
% 52.82/8.23 | (12) all_4_1 = n10
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (2), (3), (11) imply:
% 52.82/8.23 | (13) sum(n10, n10) = all_4_3
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (5), (12) imply:
% 52.82/8.23 | (14) sum(n10, n10) = all_4_0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (8) with n4, all_4_0, n10, n10, simplifying with
% 52.82/8.23 | (4), (14) gives:
% 52.82/8.23 | (15) all_4_0 = n4
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n10, n10, simplifying
% 52.82/8.23 | with (13), (14) gives:
% 52.82/8.23 | (16) all_4_0 = all_4_3
% 52.82/8.23 |
% 52.82/8.23 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #74.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #74 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) all_4_0 = n4
% 52.82/8.23 (2) all_4_0 = all_4_3
% 52.82/8.23 (3) ~ (all_4_0 = all_4_3)
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | COMBINE_EQS: (1), (2) imply:
% 52.82/8.23 | (4) all_4_3 = n4
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (1), (3), (4) imply:
% 52.82/8.23 | (5) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (5) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #75 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n14, n14) = all_4_3
% 52.82/8.23 (2) sum(n0, n12) = all_4_0
% 52.82/8.23 (3) sum(n0, n12) = n12
% 52.82/8.23 (4) sum(n14, n14) = n12
% 52.82/8.23 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n12, all_4_0, n12, n0, simplifying with
% 52.82/8.23 | (2), (3) gives:
% 52.82/8.23 | (7) all_4_0 = n12
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.82/8.23 | (1), (4) gives:
% 52.82/8.23 | (8) all_4_3 = n12
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (5), (7), (8) imply:
% 52.82/8.23 | (9) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (9) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #76 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n2, n12) = all_4_0
% 52.82/8.23 (2) sum(n15, n15) = all_4_3
% 52.82/8.23 (3) sum(n15, n15) = n14
% 52.82/8.23 (4) sum(n2, n12) = n14
% 52.82/8.23 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n14, all_4_0, n12, n2, simplifying with
% 52.82/8.23 | (1), (4) gives:
% 52.82/8.23 | (7) all_4_0 = n14
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.82/8.23 | (2), (3) gives:
% 52.82/8.23 | (8) all_4_3 = n14
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (5), (7), (8) imply:
% 52.82/8.23 | (9) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (9) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #77 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n0, n0) = all_4_3
% 52.82/8.23 (2) sum(n4, n12) = all_4_0
% 52.82/8.23 (3) sum(n0, n0) = n0
% 52.82/8.23 (4) sum(n4, n12) = n0
% 52.82/8.23 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (1),
% 52.82/8.23 | (3) gives:
% 52.82/8.23 | (7) all_4_3 = n0
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n0, all_4_0, n12, n4, simplifying with
% 52.82/8.23 | (2), (4) gives:
% 52.82/8.23 | (8) all_4_0 = n0
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (5), (7), (8) imply:
% 52.82/8.23 | (9) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (9) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #78 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.23 (1) sum(n6, n12) = n2
% 52.82/8.23 (2) sum(n6, n12) = all_4_0
% 52.82/8.23 (3) sum(n1, n1) = n2
% 52.82/8.23 (4) sum(n1, n1) = all_4_3
% 52.82/8.23 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.23 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.23 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.23
% 52.82/8.23 Begin of proof
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (3),
% 52.82/8.23 | (4) gives:
% 52.82/8.23 | (7) all_4_3 = n2
% 52.82/8.23 |
% 52.82/8.23 | GROUND_INST: instantiating (6) with n2, all_4_0, n12, n6, simplifying with
% 52.82/8.23 | (1), (2) gives:
% 52.82/8.23 | (8) all_4_0 = n2
% 52.82/8.23 |
% 52.82/8.23 | REDUCE: (5), (7), (8) imply:
% 52.82/8.23 | (9) $false
% 52.82/8.23 |
% 52.82/8.23 | CLOSE: (9) is inconsistent.
% 52.82/8.23 |
% 52.82/8.23 End of proof
% 52.82/8.23
% 52.82/8.23 Sub-proof #79 shows that the following formulas are inconsistent:
% 52.82/8.23 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n2, n2) = all_4_3
% 52.82/8.24 (2) sum(n8, n12) = all_4_0
% 52.82/8.24 (3) sum(n2, n2) = n4
% 52.82/8.24 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (5) sum(n8, n12) = n4
% 52.82/8.24 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (1),
% 52.82/8.24 | (3) gives:
% 52.82/8.24 | (7) all_4_3 = n4
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (6) with n4, all_4_0, n12, n8, simplifying with
% 52.82/8.24 | (2), (5) gives:
% 52.82/8.24 | (8) all_4_0 = n4
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (4), (7), (8) imply:
% 52.82/8.24 | (9) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (9) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #80 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n10, n12) = all_4_0
% 52.82/8.24 (2) sum(n10, n12) = n6
% 52.82/8.24 (3) sum(n3, n3) = n6
% 52.82/8.24 (4) sum(n3, n3) = all_4_3
% 52.82/8.24 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (3),
% 52.82/8.24 | (4) gives:
% 52.82/8.24 | (7) all_4_3 = n6
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (6) with n6, all_4_0, n12, n10, simplifying with
% 52.82/8.24 | (1), (2) gives:
% 52.82/8.24 | (8) all_4_0 = n6
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (5), (7), (8) imply:
% 52.82/8.24 | (9) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (9) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #81 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) all_4_7 = n6
% 52.82/8.24 (2) all_4_4 = n6
% 52.82/8.24 (3) sum(all_4_2, n12) = all_4_0
% 52.82/8.24 (4) all_4_2 = n0
% 52.82/8.24 (5) sum(n6, n6) = n12
% 52.82/8.24 (6) sum(n0, n12) = n12
% 52.82/8.24 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.24 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (3), (4) imply:
% 52.82/8.24 | (10) sum(n0, n12) = all_4_0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (1), (2), (7) imply:
% 52.82/8.24 | (11) sum(n6, n6) = all_4_3
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n12, all_4_0, n12, n0, simplifying with
% 52.82/8.24 | (6), (10) gives:
% 52.82/8.24 | (12) all_4_0 = n12
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with
% 52.82/8.24 | (5), (11) gives:
% 52.82/8.24 | (13) all_4_3 = n12
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (8), (12), (13) imply:
% 52.82/8.24 | (14) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (14) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #82 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n7, n7) = n14
% 52.82/8.24 (2) all_4_7 = n7
% 52.82/8.24 (3) all_4_4 = n7
% 52.82/8.24 (4) sum(all_4_2, n12) = all_4_0
% 52.82/8.24 (5) all_4_2 = n2
% 52.82/8.24 (6) sum(n2, n12) = n14
% 52.82/8.24 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.24 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (4), (5) imply:
% 52.82/8.24 | (10) sum(n2, n12) = all_4_0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (2), (3), (7) imply:
% 52.82/8.24 | (11) sum(n7, n7) = all_4_3
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n14, all_4_0, n12, n2, simplifying with
% 52.82/8.24 | (6), (10) gives:
% 52.82/8.24 | (12) all_4_0 = n14
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.82/8.24 | (1), (11) gives:
% 52.82/8.24 | (13) all_4_3 = n14
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (8), (12), (13) imply:
% 52.82/8.24 | (14) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (14) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #83 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n8, n8) = n0
% 52.82/8.24 (2) all_4_7 = n8
% 52.82/8.24 (3) all_4_4 = n8
% 52.82/8.24 (4) sum(all_4_2, n12) = all_4_0
% 52.82/8.24 (5) all_4_2 = n4
% 52.82/8.24 (6) sum(n4, n12) = n0
% 52.82/8.24 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.24 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (4), (5) imply:
% 52.82/8.24 | (10) sum(n4, n12) = all_4_0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (2), (3), (7) imply:
% 52.82/8.24 | (11) sum(n8, n8) = all_4_3
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n0, all_4_0, n12, n4, simplifying with
% 52.82/8.24 | (6), (10) gives:
% 52.82/8.24 | (12) all_4_0 = n0
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n0, all_4_3, n8, n8, simplifying with (1),
% 52.82/8.24 | (11) gives:
% 52.82/8.24 | (13) all_4_3 = n0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (8), (12), (13) imply:
% 52.82/8.24 | (14) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (14) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #84 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n6, n12) = n2
% 52.82/8.24 (2) all_4_4 = n9
% 52.82/8.24 (3) all_4_2 = n6
% 52.82/8.24 (4) sum(all_4_2, n12) = all_4_0
% 52.82/8.24 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.24 (6) all_4_7 = n9
% 52.82/8.24 (7) sum(n9, n9) = n2
% 52.82/8.24 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (3), (4) imply:
% 52.82/8.24 | (10) sum(n6, n12) = all_4_0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (2), (5), (6) imply:
% 52.82/8.24 | (11) sum(n9, n9) = all_4_3
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n2, all_4_0, n12, n6, simplifying with
% 52.82/8.24 | (1), (10) gives:
% 52.82/8.24 | (12) all_4_0 = n2
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n2, all_4_3, n9, n9, simplifying with (7),
% 52.82/8.24 | (11) gives:
% 52.82/8.24 | (13) all_4_3 = n2
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (8), (12), (13) imply:
% 52.82/8.24 | (14) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (14) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #85 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(all_4_2, n12) = all_4_0
% 52.82/8.24 (2) all_4_7 = n10
% 52.82/8.24 (3) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.24 (4) all_4_4 = n10
% 52.82/8.24 (5) sum(n10, n10) = n4
% 52.82/8.24 (6) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (7) sum(n8, n12) = n4
% 52.82/8.24 (8) all_4_2 = n8
% 52.82/8.24 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (1), (8) imply:
% 52.82/8.24 | (10) sum(n8, n12) = all_4_0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (2), (3), (4) imply:
% 52.82/8.24 | (11) sum(n10, n10) = all_4_3
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n4, all_4_0, n12, n8, simplifying with
% 52.82/8.24 | (7), (10) gives:
% 52.82/8.24 | (12) all_4_0 = n4
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n4, all_4_3, n10, n10, simplifying with
% 52.82/8.24 | (5), (11) gives:
% 52.82/8.24 | (13) all_4_3 = n4
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (6), (12), (13) imply:
% 52.82/8.24 | (14) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (14) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #86 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n10, n12) = n6
% 52.82/8.24 (2) sum(n11, n11) = n6
% 52.82/8.24 (3) all_4_2 = n10
% 52.82/8.24 (4) sum(all_4_2, n12) = all_4_0
% 52.82/8.24 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.24 (6) all_4_4 = n11
% 52.82/8.24 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (8) all_4_7 = n11
% 52.82/8.24 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (3), (4) imply:
% 52.82/8.24 | (10) sum(n10, n12) = all_4_0
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (5), (6), (8) imply:
% 52.82/8.24 | (11) sum(n11, n11) = all_4_3
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n6, all_4_0, n12, n10, simplifying with
% 52.82/8.24 | (1), (10) gives:
% 52.82/8.24 | (12) all_4_0 = n6
% 52.82/8.24 |
% 52.82/8.24 | GROUND_INST: instantiating (9) with n6, all_4_3, n11, n11, simplifying with
% 52.82/8.24 | (2), (11) gives:
% 52.82/8.24 | (13) all_4_3 = n6
% 52.82/8.24 |
% 52.82/8.24 | REDUCE: (7), (12), (13) imply:
% 52.82/8.24 | (14) $false
% 52.82/8.24 |
% 52.82/8.24 | CLOSE: (14) is inconsistent.
% 52.82/8.24 |
% 52.82/8.24 End of proof
% 52.82/8.24
% 52.82/8.24 Sub-proof #87 shows that the following formulas are inconsistent:
% 52.82/8.24 ----------------------------------------------------------------
% 52.82/8.24 (1) sum(n14, n14) = all_4_3
% 52.82/8.24 (2) sum(n12, n0) = all_4_0
% 52.82/8.24 (3) sum(n12, n0) = n12
% 52.82/8.24 (4) sum(n14, n14) = n12
% 52.82/8.24 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.24 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.24 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.24
% 52.82/8.24 Begin of proof
% 52.82/8.24 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n12, all_4_0, n0, n12, simplifying with
% 52.82/8.25 | (2), (3) gives:
% 52.82/8.25 | (7) all_4_0 = n12
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n12, all_4_3, n14, n14, simplifying with
% 52.82/8.25 | (1), (4) gives:
% 52.82/8.25 | (8) all_4_3 = n12
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (5), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #88 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n15, n15) = all_4_3
% 52.82/8.25 (2) sum(n12, n2) = all_4_0
% 52.82/8.25 (3) sum(n15, n15) = n14
% 52.82/8.25 (4) sum(n12, n2) = n14
% 52.82/8.25 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n14, all_4_0, n2, n12, simplifying with
% 52.82/8.25 | (2), (4) gives:
% 52.82/8.25 | (7) all_4_0 = n14
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.82/8.25 | (1), (3) gives:
% 52.82/8.25 | (8) all_4_3 = n14
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (5), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #89 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n0, n0) = all_4_3
% 52.82/8.25 (2) sum(n0, n0) = n0
% 52.82/8.25 (3) sum(n12, n4) = n0
% 52.82/8.25 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25 (6) sum(n12, n4) = all_4_0
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (5) with n0, all_4_3, n0, n0, simplifying with (1),
% 52.82/8.25 | (2) gives:
% 52.82/8.25 | (7) all_4_3 = n0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (5) with n0, all_4_0, n4, n12, simplifying with
% 52.82/8.25 | (3), (6) gives:
% 52.82/8.25 | (8) all_4_0 = n0
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (4), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #90 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n12, n6) = all_4_0
% 52.82/8.25 (2) sum(n12, n6) = n2
% 52.82/8.25 (3) sum(n1, n1) = n2
% 52.82/8.25 (4) sum(n1, n1) = all_4_3
% 52.82/8.25 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (3),
% 52.82/8.25 | (4) gives:
% 52.82/8.25 | (7) all_4_3 = n2
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n2, all_4_0, n6, n12, simplifying with
% 52.82/8.25 | (1), (2) gives:
% 52.82/8.25 | (8) all_4_0 = n2
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (5), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #91 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n2, n2) = all_4_3
% 52.82/8.25 (2) sum(n12, n8) = n4
% 52.82/8.25 (3) sum(n2, n2) = n4
% 52.82/8.25 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (5) sum(n12, n8) = all_4_0
% 52.82/8.25 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (1),
% 52.82/8.25 | (3) gives:
% 52.82/8.25 | (7) all_4_3 = n4
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n4, all_4_0, n8, n12, simplifying with
% 52.82/8.25 | (2), (5) gives:
% 52.82/8.25 | (8) all_4_0 = n4
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (4), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #92 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n3, n3) = n6
% 52.82/8.25 (2) sum(n3, n3) = all_4_3
% 52.82/8.25 (3) sum(n12, n10) = all_4_0
% 52.82/8.25 (4) sum(n12, n10) = n6
% 52.82/8.25 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1),
% 52.82/8.25 | (2) gives:
% 52.82/8.25 | (7) all_4_3 = n6
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n6, all_4_0, n10, n12, simplifying with
% 52.82/8.25 | (3), (4) gives:
% 52.82/8.25 | (8) all_4_0 = n6
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (5), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #93 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n4, n4) = n8
% 52.82/8.25 (2) sum(n4, n4) = all_4_3
% 52.82/8.25 (3) sum(n12, n12) = n8
% 52.82/8.25 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (5) sum(n12, n12) = all_4_0
% 52.82/8.25 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.82/8.25 | (2) gives:
% 52.82/8.25 | (7) all_4_3 = n8
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (6) with n8, all_4_0, n12, n12, simplifying with
% 52.82/8.25 | (3), (5) gives:
% 52.82/8.25 | (8) all_4_0 = n8
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (4), (7), (8) imply:
% 52.82/8.25 | (9) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (9) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #94 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) all_4_7 = n6
% 52.82/8.25 (2) all_4_1 = n0
% 52.82/8.25 (3) all_4_4 = n6
% 52.82/8.25 (4) sum(n12, n0) = n12
% 52.82/8.25 (5) sum(n6, n6) = n12
% 52.82/8.25 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.25 (7) sum(n12, all_4_1) = all_4_0
% 52.82/8.25 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (1), (3), (6) imply:
% 52.82/8.25 | (10) sum(n6, n6) = all_4_3
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (2), (7) imply:
% 52.82/8.25 | (11) sum(n12, n0) = all_4_0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n12, all_4_3, n6, n6, simplifying with
% 52.82/8.25 | (5), (10) gives:
% 52.82/8.25 | (12) all_4_3 = n12
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n12, all_4_0, n0, n12, simplifying with
% 52.82/8.25 | (4), (11) gives:
% 52.82/8.25 | (13) all_4_0 = n12
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (8), (12), (13) imply:
% 52.82/8.25 | (14) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (14) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #95 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n7, n7) = n14
% 52.82/8.25 (2) all_4_1 = n2
% 52.82/8.25 (3) all_4_7 = n7
% 52.82/8.25 (4) all_4_4 = n7
% 52.82/8.25 (5) sum(n12, n2) = n14
% 52.82/8.25 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.25 (7) sum(n12, all_4_1) = all_4_0
% 52.82/8.25 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (3), (4), (6) imply:
% 52.82/8.25 | (10) sum(n7, n7) = all_4_3
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (2), (7) imply:
% 52.82/8.25 | (11) sum(n12, n2) = all_4_0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.82/8.25 | (1), (10) gives:
% 52.82/8.25 | (12) all_4_3 = n14
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n14, all_4_0, n2, n12, simplifying with
% 52.82/8.25 | (5), (11) gives:
% 52.82/8.25 | (13) all_4_0 = n14
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (8), (12), (13) imply:
% 52.82/8.25 | (14) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (14) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #96 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) sum(n8, n8) = n0
% 52.82/8.25 (2) all_4_7 = n8
% 52.82/8.25 (3) all_4_1 = n4
% 52.82/8.25 (4) all_4_4 = n8
% 52.82/8.25 (5) sum(n12, n4) = n0
% 52.82/8.25 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.25 (7) sum(n12, all_4_1) = all_4_0
% 52.82/8.25 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (2), (4), (6) imply:
% 52.82/8.25 | (10) sum(n8, n8) = all_4_3
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (3), (7) imply:
% 52.82/8.25 | (11) sum(n12, n4) = all_4_0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n0, all_4_3, n8, n8, simplifying with (1),
% 52.82/8.25 | (10) gives:
% 52.82/8.25 | (12) all_4_3 = n0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n0, all_4_0, n4, n12, simplifying with
% 52.82/8.25 | (5), (11) gives:
% 52.82/8.25 | (13) all_4_0 = n0
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (8), (12), (13) imply:
% 52.82/8.25 | (14) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (14) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #97 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) all_4_1 = n6
% 52.82/8.25 (2) all_4_4 = n9
% 52.82/8.25 (3) sum(n12, n6) = n2
% 52.82/8.25 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.25 (5) sum(n12, all_4_1) = all_4_0
% 52.82/8.25 (6) all_4_7 = n9
% 52.82/8.25 (7) sum(n9, n9) = n2
% 52.82/8.25 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (2), (4), (6) imply:
% 52.82/8.25 | (10) sum(n9, n9) = all_4_3
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (1), (5) imply:
% 52.82/8.25 | (11) sum(n12, n6) = all_4_0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n2, all_4_3, n9, n9, simplifying with (7),
% 52.82/8.25 | (10) gives:
% 52.82/8.25 | (12) all_4_3 = n2
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n2, all_4_0, n6, n12, simplifying with
% 52.82/8.25 | (3), (11) gives:
% 52.82/8.25 | (13) all_4_0 = n2
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (8), (12), (13) imply:
% 52.82/8.25 | (14) $false
% 52.82/8.25 |
% 52.82/8.25 | CLOSE: (14) is inconsistent.
% 52.82/8.25 |
% 52.82/8.25 End of proof
% 52.82/8.25
% 52.82/8.25 Sub-proof #98 shows that the following formulas are inconsistent:
% 52.82/8.25 ----------------------------------------------------------------
% 52.82/8.25 (1) all_4_1 = n8
% 52.82/8.25 (2) sum(n12, n8) = n4
% 52.82/8.25 (3) all_4_7 = n10
% 52.82/8.25 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.25 (5) sum(n12, all_4_1) = all_4_0
% 52.82/8.25 (6) all_4_4 = n10
% 52.82/8.25 (7) sum(n10, n10) = n4
% 52.82/8.25 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.25 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.25 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.25
% 52.82/8.25 Begin of proof
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (3), (4), (6) imply:
% 52.82/8.25 | (10) sum(n10, n10) = all_4_3
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (1), (5) imply:
% 52.82/8.25 | (11) sum(n12, n8) = all_4_0
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n4, all_4_3, n10, n10, simplifying with
% 52.82/8.25 | (7), (10) gives:
% 52.82/8.25 | (12) all_4_3 = n4
% 52.82/8.25 |
% 52.82/8.25 | GROUND_INST: instantiating (9) with n4, all_4_0, n8, n12, simplifying with
% 52.82/8.25 | (2), (11) gives:
% 52.82/8.25 | (13) all_4_0 = n4
% 52.82/8.25 |
% 52.82/8.25 | REDUCE: (8), (12), (13) imply:
% 52.82/8.25 | (14) $false
% 52.82/8.25 |
% 52.82/8.26 | CLOSE: (14) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #99 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) all_4_1 = n10
% 52.82/8.26 (2) sum(n11, n11) = n6
% 52.82/8.26 (3) sum(n12, n10) = n6
% 52.82/8.26 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.26 (5) sum(n12, all_4_1) = all_4_0
% 52.82/8.26 (6) all_4_4 = n11
% 52.82/8.26 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (8) all_4_7 = n11
% 52.82/8.26 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (4), (6), (8) imply:
% 52.82/8.26 | (10) sum(n11, n11) = all_4_3
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (1), (5) imply:
% 52.82/8.26 | (11) sum(n12, n10) = all_4_0
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n6, all_4_3, n11, n11, simplifying with
% 52.82/8.26 | (2), (10) gives:
% 52.82/8.26 | (12) all_4_3 = n6
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n6, all_4_0, n10, n12, simplifying with
% 52.82/8.26 | (3), (11) gives:
% 52.82/8.26 | (13) all_4_0 = n6
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (7), (12), (13) imply:
% 52.82/8.26 | (14) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (14) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #100 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) all_4_4 = n12
% 52.82/8.26 (2) all_4_1 = all_4_7
% 52.82/8.26 (3) sum(n12, n12) = n8
% 52.82/8.26 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.26 (5) sum(n12, all_4_1) = all_4_0
% 52.82/8.26 (6) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (7) all_4_1 = all_4_4
% 52.82/8.26 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | COMBINE_EQS: (2), (7) imply:
% 52.82/8.26 | (9) all_4_4 = all_4_7
% 52.82/8.26 |
% 52.82/8.26 | SIMP: (9) implies:
% 52.82/8.26 | (10) all_4_4 = all_4_7
% 52.82/8.26 |
% 52.82/8.26 | COMBINE_EQS: (1), (10) imply:
% 52.82/8.26 | (11) all_4_7 = n12
% 52.82/8.26 |
% 52.82/8.26 | COMBINE_EQS: (2), (11) imply:
% 52.82/8.26 | (12) all_4_1 = n12
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (1), (4), (11) imply:
% 52.82/8.26 | (13) sum(n12, n12) = all_4_3
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (12) imply:
% 52.82/8.26 | (14) sum(n12, n12) = all_4_0
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (8) with n8, all_4_0, n12, n12, simplifying with
% 52.82/8.26 | (3), (14) gives:
% 52.82/8.26 | (15) all_4_0 = n8
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n12, n12, simplifying
% 52.82/8.26 | with (13), (14) gives:
% 52.82/8.26 | (16) all_4_0 = all_4_3
% 52.82/8.26 |
% 52.82/8.26 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #101.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #101 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) all_4_0 = n8
% 52.82/8.26 (2) all_4_0 = all_4_3
% 52.82/8.26 (3) ~ (all_4_0 = all_4_3)
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | COMBINE_EQS: (1), (2) imply:
% 52.82/8.26 | (4) all_4_3 = n8
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (1), (3), (4) imply:
% 52.82/8.26 | (5) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (5) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #102 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n15, n15) = all_4_3
% 52.82/8.26 (2) sum(n0, n14) = all_4_0
% 52.82/8.26 (3) sum(n15, n15) = n14
% 52.82/8.26 (4) sum(n0, n14) = n14
% 52.82/8.26 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n14, all_4_0, n14, n0, simplifying with
% 52.82/8.26 | (2), (4) gives:
% 52.82/8.26 | (7) all_4_0 = n14
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.82/8.26 | (1), (3) gives:
% 52.82/8.26 | (8) all_4_3 = n14
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #103 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n0, n0) = all_4_3
% 52.82/8.26 (2) sum(n2, n14) = n0
% 52.82/8.26 (3) sum(n0, n0) = n0
% 52.82/8.26 (4) sum(n2, n14) = all_4_0
% 52.82/8.26 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (1),
% 52.82/8.26 | (3) gives:
% 52.82/8.26 | (7) all_4_3 = n0
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n0, all_4_0, n14, n2, simplifying with
% 52.82/8.26 | (2), (4) gives:
% 52.82/8.26 | (8) all_4_0 = n0
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #104 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n4, n14) = all_4_0
% 52.82/8.26 (2) sum(n4, n14) = n2
% 52.82/8.26 (3) sum(n1, n1) = n2
% 52.82/8.26 (4) sum(n1, n1) = all_4_3
% 52.82/8.26 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (3),
% 52.82/8.26 | (4) gives:
% 52.82/8.26 | (7) all_4_3 = n2
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n2, all_4_0, n14, n4, simplifying with
% 52.82/8.26 | (1), (2) gives:
% 52.82/8.26 | (8) all_4_0 = n2
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #105 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n2, n2) = all_4_3
% 52.82/8.26 (2) sum(n6, n14) = n4
% 52.82/8.26 (3) sum(n2, n2) = n4
% 52.82/8.26 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (5) sum(n6, n14) = all_4_0
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (1),
% 52.82/8.26 | (3) gives:
% 52.82/8.26 | (7) all_4_3 = n4
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n4, all_4_0, n14, n6, simplifying with
% 52.82/8.26 | (2), (5) gives:
% 52.82/8.26 | (8) all_4_0 = n4
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (4), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #106 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n3, n3) = n6
% 52.82/8.26 (2) sum(n3, n3) = all_4_3
% 52.82/8.26 (3) sum(n8, n14) = n6
% 52.82/8.26 (4) sum(n8, n14) = all_4_0
% 52.82/8.26 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1),
% 52.82/8.26 | (2) gives:
% 52.82/8.26 | (7) all_4_3 = n6
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n6, all_4_0, n14, n8, simplifying with
% 52.82/8.26 | (3), (4) gives:
% 52.82/8.26 | (8) all_4_0 = n6
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #107 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n4, n4) = n8
% 52.82/8.26 (2) sum(n10, n14) = all_4_0
% 52.82/8.26 (3) sum(n10, n14) = n8
% 52.82/8.26 (4) sum(n4, n4) = all_4_3
% 52.82/8.26 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.82/8.26 | (4) gives:
% 52.82/8.26 | (7) all_4_3 = n8
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n8, all_4_0, n14, n10, simplifying with
% 52.82/8.26 | (2), (3) gives:
% 52.82/8.26 | (8) all_4_0 = n8
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #108 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n12, n14) = n10
% 52.82/8.26 (2) sum(n5, n5) = n10
% 52.82/8.26 (3) sum(n12, n14) = all_4_0
% 52.82/8.26 (4) sum(n5, n5) = all_4_3
% 52.82/8.26 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n10, all_4_3, n5, n5, simplifying with
% 52.82/8.26 | (2), (4) gives:
% 52.82/8.26 | (7) all_4_3 = n10
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (6) with n10, all_4_0, n14, n12, simplifying with
% 52.82/8.26 | (1), (3) gives:
% 52.82/8.26 | (8) all_4_0 = n10
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (7), (8) imply:
% 52.82/8.26 | (9) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (9) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #109 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n7, n7) = n14
% 52.82/8.26 (2) all_4_7 = n7
% 52.82/8.26 (3) all_4_4 = n7
% 52.82/8.26 (4) all_4_2 = n0
% 52.82/8.26 (5) sum(n0, n14) = n14
% 52.82/8.26 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.26 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (8) sum(all_4_2, n14) = all_4_0
% 52.82/8.26 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (4), (8) imply:
% 52.82/8.26 | (10) sum(n0, n14) = all_4_0
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (2), (3), (6) imply:
% 52.82/8.26 | (11) sum(n7, n7) = all_4_3
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n14, all_4_0, n14, n0, simplifying with
% 52.82/8.26 | (5), (10) gives:
% 52.82/8.26 | (12) all_4_0 = n14
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.82/8.26 | (1), (11) gives:
% 52.82/8.26 | (13) all_4_3 = n14
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (7), (12), (13) imply:
% 52.82/8.26 | (14) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (14) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #110 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) sum(n8, n8) = n0
% 52.82/8.26 (2) all_4_7 = n8
% 52.82/8.26 (3) sum(n2, n14) = n0
% 52.82/8.26 (4) all_4_4 = n8
% 52.82/8.26 (5) all_4_2 = n2
% 52.82/8.26 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.26 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (8) sum(all_4_2, n14) = all_4_0
% 52.82/8.26 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (5), (8) imply:
% 52.82/8.26 | (10) sum(n2, n14) = all_4_0
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (2), (4), (6) imply:
% 52.82/8.26 | (11) sum(n8, n8) = all_4_3
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n0, all_4_0, n14, n2, simplifying with
% 52.82/8.26 | (3), (10) gives:
% 52.82/8.26 | (12) all_4_0 = n0
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n0, all_4_3, n8, n8, simplifying with (1),
% 52.82/8.26 | (11) gives:
% 52.82/8.26 | (13) all_4_3 = n0
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (7), (12), (13) imply:
% 52.82/8.26 | (14) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (14) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #111 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.26 (1) all_4_4 = n9
% 52.82/8.26 (2) sum(n4, n14) = n2
% 52.82/8.26 (3) all_4_2 = n4
% 52.82/8.26 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.26 (5) all_4_7 = n9
% 52.82/8.26 (6) sum(n9, n9) = n2
% 52.82/8.26 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.26 (8) sum(all_4_2, n14) = all_4_0
% 52.82/8.26 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.26 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.26
% 52.82/8.26 Begin of proof
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (3), (8) imply:
% 52.82/8.26 | (10) sum(n4, n14) = all_4_0
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (1), (4), (5) imply:
% 52.82/8.26 | (11) sum(n9, n9) = all_4_3
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n2, all_4_0, n14, n4, simplifying with
% 52.82/8.26 | (2), (10) gives:
% 52.82/8.26 | (12) all_4_0 = n2
% 52.82/8.26 |
% 52.82/8.26 | GROUND_INST: instantiating (9) with n2, all_4_3, n9, n9, simplifying with (6),
% 52.82/8.26 | (11) gives:
% 52.82/8.26 | (13) all_4_3 = n2
% 52.82/8.26 |
% 52.82/8.26 | REDUCE: (7), (12), (13) imply:
% 52.82/8.26 | (14) $false
% 52.82/8.26 |
% 52.82/8.26 | CLOSE: (14) is inconsistent.
% 52.82/8.26 |
% 52.82/8.26 End of proof
% 52.82/8.26
% 52.82/8.26 Sub-proof #112 shows that the following formulas are inconsistent:
% 52.82/8.26 ----------------------------------------------------------------
% 52.82/8.27 (1) all_4_2 = n6
% 52.82/8.27 (2) sum(n6, n14) = n4
% 52.82/8.27 (3) all_4_7 = n10
% 52.82/8.27 (4) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.27 (5) all_4_4 = n10
% 52.82/8.27 (6) sum(n10, n10) = n4
% 52.82/8.27 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (8) sum(all_4_2, n14) = all_4_0
% 52.82/8.27 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (1), (8) imply:
% 52.82/8.27 | (10) sum(n6, n14) = all_4_0
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (3), (4), (5) imply:
% 52.82/8.27 | (11) sum(n10, n10) = all_4_3
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n4, all_4_0, n14, n6, simplifying with
% 52.82/8.27 | (2), (10) gives:
% 52.82/8.27 | (12) all_4_0 = n4
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n4, all_4_3, n10, n10, simplifying with
% 52.82/8.27 | (6), (11) gives:
% 52.82/8.27 | (13) all_4_3 = n4
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (7), (12), (13) imply:
% 52.82/8.27 | (14) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (14) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #113 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n11, n11) = n6
% 52.82/8.27 (2) sum(n8, n14) = n6
% 52.82/8.27 (3) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.27 (4) all_4_4 = n11
% 52.82/8.27 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (6) sum(all_4_2, n14) = all_4_0
% 52.82/8.27 (7) all_4_7 = n11
% 52.82/8.27 (8) all_4_2 = n8
% 52.82/8.27 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (6), (8) imply:
% 52.82/8.27 | (10) sum(n8, n14) = all_4_0
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (3), (4), (7) imply:
% 52.82/8.27 | (11) sum(n11, n11) = all_4_3
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n6, all_4_0, n14, n8, simplifying with
% 52.82/8.27 | (2), (10) gives:
% 52.82/8.27 | (12) all_4_0 = n6
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n6, all_4_3, n11, n11, simplifying with
% 52.82/8.27 | (1), (11) gives:
% 52.82/8.27 | (13) all_4_3 = n6
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (5), (12), (13) imply:
% 52.82/8.27 | (14) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (14) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #114 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) all_4_4 = n12
% 52.82/8.27 (2) sum(n10, n14) = n8
% 52.82/8.27 (3) all_4_7 = n12
% 52.82/8.27 (4) all_4_2 = n10
% 52.82/8.27 (5) sum(n12, n12) = n8
% 52.82/8.27 (6) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.27 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (8) sum(all_4_2, n14) = all_4_0
% 52.82/8.27 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (8) imply:
% 52.82/8.27 | (10) sum(n10, n14) = all_4_0
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (1), (3), (6) imply:
% 52.82/8.27 | (11) sum(n12, n12) = all_4_3
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n8, all_4_0, n14, n10, simplifying with
% 52.82/8.27 | (2), (10) gives:
% 52.82/8.27 | (12) all_4_0 = n8
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n8, all_4_3, n12, n12, simplifying with
% 52.82/8.27 | (5), (11) gives:
% 52.82/8.27 | (13) all_4_3 = n8
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (7), (12), (13) imply:
% 52.82/8.27 | (14) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (14) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #115 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) all_4_7 = n13
% 52.82/8.27 (2) sum(n12, n14) = n10
% 52.82/8.27 (3) all_4_4 = n13
% 52.82/8.27 (4) all_4_2 = n12
% 52.82/8.27 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.27 (6) sum(n13, n13) = n10
% 52.82/8.27 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (8) sum(all_4_2, n14) = all_4_0
% 52.82/8.27 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (8) imply:
% 52.82/8.27 | (10) sum(n12, n14) = all_4_0
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (1), (3), (5) imply:
% 52.82/8.27 | (11) sum(n13, n13) = all_4_3
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n10, all_4_0, n14, n12, simplifying with
% 52.82/8.27 | (2), (10) gives:
% 52.82/8.27 | (12) all_4_0 = n10
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n10, all_4_3, n13, n13, simplifying with
% 52.82/8.27 | (6), (11) gives:
% 52.82/8.27 | (13) all_4_3 = n10
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (7), (12), (13) imply:
% 52.82/8.27 | (14) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (14) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #116 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n14, n0) = n14
% 52.82/8.27 (2) sum(n15, n15) = all_4_3
% 52.82/8.27 (3) sum(n15, n15) = n14
% 52.82/8.27 (4) sum(n14, n0) = all_4_0
% 52.82/8.27 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n14, all_4_0, n0, n14, simplifying with
% 52.82/8.27 | (1), (4) gives:
% 52.82/8.27 | (7) all_4_0 = n14
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n14, all_4_3, n15, n15, simplifying with
% 52.82/8.27 | (2), (3) gives:
% 52.82/8.27 | (8) all_4_3 = n14
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (5), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #117 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n14, n2) = n0
% 52.82/8.27 (2) sum(n0, n0) = all_4_3
% 52.82/8.27 (3) sum(n14, n2) = all_4_0
% 52.82/8.27 (4) sum(n0, n0) = n0
% 52.82/8.27 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n0, all_4_3, n0, n0, simplifying with (2),
% 52.82/8.27 | (4) gives:
% 52.82/8.27 | (7) all_4_3 = n0
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n0, all_4_0, n2, n14, simplifying with
% 52.82/8.27 | (1), (3) gives:
% 52.82/8.27 | (8) all_4_0 = n0
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (5), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #118 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n14, n4) = n2
% 52.82/8.27 (2) sum(n1, n1) = n2
% 52.82/8.27 (3) sum(n1, n1) = all_4_3
% 52.82/8.27 (4) sum(n14, n4) = all_4_0
% 52.82/8.27 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n2, all_4_3, n1, n1, simplifying with (2),
% 52.82/8.27 | (3) gives:
% 52.82/8.27 | (7) all_4_3 = n2
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n2, all_4_0, n4, n14, simplifying with
% 52.82/8.27 | (1), (4) gives:
% 52.82/8.27 | (8) all_4_0 = n2
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (5), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #119 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n2, n2) = all_4_3
% 52.82/8.27 (2) sum(n14, n6) = n4
% 52.82/8.27 (3) sum(n2, n2) = n4
% 52.82/8.27 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (5) sum(n14, n6) = all_4_0
% 52.82/8.27 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n4, all_4_3, n2, n2, simplifying with (1),
% 52.82/8.27 | (3) gives:
% 52.82/8.27 | (7) all_4_3 = n4
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n4, all_4_0, n6, n14, simplifying with
% 52.82/8.27 | (2), (5) gives:
% 52.82/8.27 | (8) all_4_0 = n4
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #120 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n3, n3) = n6
% 52.82/8.27 (2) sum(n3, n3) = all_4_3
% 52.82/8.27 (3) sum(n14, n8) = n6
% 52.82/8.27 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (5) sum(n14, n8) = all_4_0
% 52.82/8.27 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n6, all_4_3, n3, n3, simplifying with (1),
% 52.82/8.27 | (2) gives:
% 52.82/8.27 | (7) all_4_3 = n6
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n6, all_4_0, n8, n14, simplifying with
% 52.82/8.27 | (3), (5) gives:
% 52.82/8.27 | (8) all_4_0 = n6
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #121 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n4, n4) = n8
% 52.82/8.27 (2) sum(n14, n10) = all_4_0
% 52.82/8.27 (3) sum(n4, n4) = all_4_3
% 52.82/8.27 (4) sum(n14, n10) = n8
% 52.82/8.27 (5) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n8, all_4_3, n4, n4, simplifying with (1),
% 52.82/8.27 | (3) gives:
% 52.82/8.27 | (7) all_4_3 = n8
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (6) with n8, all_4_0, n10, n14, simplifying with
% 52.82/8.27 | (2), (4) gives:
% 52.82/8.27 | (8) all_4_0 = n8
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (5), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #122 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n14, n12) = all_4_0
% 52.82/8.27 (2) sum(n5, n5) = n10
% 52.82/8.27 (3) sum(n5, n5) = all_4_3
% 52.82/8.27 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27 (6) sum(n14, n12) = n10
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (5) with n10, all_4_3, n5, n5, simplifying with
% 52.82/8.27 | (2), (3) gives:
% 52.82/8.27 | (7) all_4_3 = n10
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (5) with n10, all_4_0, n12, n14, simplifying with
% 52.82/8.27 | (1), (6) gives:
% 52.82/8.27 | (8) all_4_0 = n10
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #123 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n6, n6) = all_4_3
% 52.82/8.27 (2) sum(n6, n6) = n12
% 52.82/8.27 (3) sum(n14, n14) = n12
% 52.82/8.27 (4) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27 (6) sum(n14, n14) = all_4_0
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (5) with n12, all_4_3, n6, n6, simplifying with
% 52.82/8.27 | (1), (2) gives:
% 52.82/8.27 | (7) all_4_3 = n12
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (5) with n12, all_4_0, n14, n14, simplifying with
% 52.82/8.27 | (3), (6) gives:
% 52.82/8.27 | (8) all_4_0 = n12
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (7), (8) imply:
% 52.82/8.27 | (9) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (9) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.27
% 52.82/8.27 Sub-proof #124 shows that the following formulas are inconsistent:
% 52.82/8.27 ----------------------------------------------------------------
% 52.82/8.27 (1) sum(n7, n7) = n14
% 52.82/8.27 (2) sum(n14, n0) = n14
% 52.82/8.27 (3) all_4_7 = n7
% 52.82/8.27 (4) all_4_1 = n0
% 52.82/8.27 (5) sum(n14, all_4_1) = all_4_0
% 52.82/8.27 (6) all_4_4 = n7
% 52.82/8.27 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.27 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.27 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.27 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.27
% 52.82/8.27 Begin of proof
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (3), (6), (7) imply:
% 52.82/8.27 | (10) sum(n7, n7) = all_4_3
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (4), (5) imply:
% 52.82/8.27 | (11) sum(n14, n0) = all_4_0
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n14, all_4_3, n7, n7, simplifying with
% 52.82/8.27 | (1), (10) gives:
% 52.82/8.27 | (12) all_4_3 = n14
% 52.82/8.27 |
% 52.82/8.27 | GROUND_INST: instantiating (9) with n14, all_4_0, n0, n14, simplifying with
% 52.82/8.27 | (2), (11) gives:
% 52.82/8.27 | (13) all_4_0 = n14
% 52.82/8.27 |
% 52.82/8.27 | REDUCE: (8), (12), (13) imply:
% 52.82/8.27 | (14) $false
% 52.82/8.27 |
% 52.82/8.27 | CLOSE: (14) is inconsistent.
% 52.82/8.27 |
% 52.82/8.27 End of proof
% 52.82/8.28
% 52.82/8.28 Sub-proof #125 shows that the following formulas are inconsistent:
% 52.82/8.28 ----------------------------------------------------------------
% 52.82/8.28 (1) sum(n8, n8) = n0
% 52.82/8.28 (2) all_4_7 = n8
% 52.82/8.28 (3) sum(n14, n2) = n0
% 52.82/8.28 (4) all_4_1 = n2
% 52.82/8.28 (5) sum(n14, all_4_1) = all_4_0
% 52.82/8.28 (6) all_4_4 = n8
% 52.82/8.28 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.28 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.28 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.28
% 52.82/8.28 Begin of proof
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (2), (6), (7) imply:
% 52.82/8.28 | (10) sum(n8, n8) = all_4_3
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (4), (5) imply:
% 52.82/8.28 | (11) sum(n14, n2) = all_4_0
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n0, all_4_3, n8, n8, simplifying with (1),
% 52.82/8.28 | (10) gives:
% 52.82/8.28 | (12) all_4_3 = n0
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n0, all_4_0, n2, n14, simplifying with
% 52.82/8.28 | (3), (11) gives:
% 52.82/8.28 | (13) all_4_0 = n0
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (8), (12), (13) imply:
% 52.82/8.28 | (14) $false
% 52.82/8.28 |
% 52.82/8.28 | CLOSE: (14) is inconsistent.
% 52.82/8.28 |
% 52.82/8.28 End of proof
% 52.82/8.28
% 52.82/8.28 Sub-proof #126 shows that the following formulas are inconsistent:
% 52.82/8.28 ----------------------------------------------------------------
% 52.82/8.28 (1) all_4_1 = n4
% 52.82/8.28 (2) sum(n14, n4) = n2
% 52.82/8.28 (3) all_4_4 = n9
% 52.82/8.28 (4) sum(n14, all_4_1) = all_4_0
% 52.82/8.28 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.28 (6) all_4_7 = n9
% 52.82/8.28 (7) sum(n9, n9) = n2
% 52.82/8.28 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.28 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.28
% 52.82/8.28 Begin of proof
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (3), (5), (6) imply:
% 52.82/8.28 | (10) sum(n9, n9) = all_4_3
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (1), (4) imply:
% 52.82/8.28 | (11) sum(n14, n4) = all_4_0
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n2, all_4_3, n9, n9, simplifying with (7),
% 52.82/8.28 | (10) gives:
% 52.82/8.28 | (12) all_4_3 = n2
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n2, all_4_0, n4, n14, simplifying with
% 52.82/8.28 | (2), (11) gives:
% 52.82/8.28 | (13) all_4_0 = n2
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (8), (12), (13) imply:
% 52.82/8.28 | (14) $false
% 52.82/8.28 |
% 52.82/8.28 | CLOSE: (14) is inconsistent.
% 52.82/8.28 |
% 52.82/8.28 End of proof
% 52.82/8.28
% 52.82/8.28 Sub-proof #127 shows that the following formulas are inconsistent:
% 52.82/8.28 ----------------------------------------------------------------
% 52.82/8.28 (1) all_4_1 = n6
% 52.82/8.28 (2) sum(n14, all_4_1) = all_4_0
% 52.82/8.28 (3) sum(n14, n6) = n4
% 52.82/8.28 (4) all_4_7 = n10
% 52.82/8.28 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.28 (6) all_4_4 = n10
% 52.82/8.28 (7) sum(n10, n10) = n4
% 52.82/8.28 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.28 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.28
% 52.82/8.28 Begin of proof
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (4), (5), (6) imply:
% 52.82/8.28 | (10) sum(n10, n10) = all_4_3
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (1), (2) imply:
% 52.82/8.28 | (11) sum(n14, n6) = all_4_0
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n4, all_4_3, n10, n10, simplifying with
% 52.82/8.28 | (7), (10) gives:
% 52.82/8.28 | (12) all_4_3 = n4
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n4, all_4_0, n6, n14, simplifying with
% 52.82/8.28 | (3), (11) gives:
% 52.82/8.28 | (13) all_4_0 = n4
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (8), (12), (13) imply:
% 52.82/8.28 | (14) $false
% 52.82/8.28 |
% 52.82/8.28 | CLOSE: (14) is inconsistent.
% 52.82/8.28 |
% 52.82/8.28 End of proof
% 52.82/8.28
% 52.82/8.28 Sub-proof #128 shows that the following formulas are inconsistent:
% 52.82/8.28 ----------------------------------------------------------------
% 52.82/8.28 (1) sum(n14, all_4_1) = all_4_0
% 52.82/8.28 (2) sum(n11, n11) = n6
% 52.82/8.28 (3) all_4_1 = n8
% 52.82/8.28 (4) sum(n14, n8) = n6
% 52.82/8.28 (5) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.28 (6) all_4_4 = n11
% 52.82/8.28 (7) ~ (all_4_0 = all_4_3)
% 52.82/8.28 (8) all_4_7 = n11
% 52.82/8.28 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.28
% 52.82/8.28 Begin of proof
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (5), (6), (8) imply:
% 52.82/8.28 | (10) sum(n11, n11) = all_4_3
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (1), (3) imply:
% 52.82/8.28 | (11) sum(n14, n8) = all_4_0
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n6, all_4_3, n11, n11, simplifying with
% 52.82/8.28 | (2), (10) gives:
% 52.82/8.28 | (12) all_4_3 = n6
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n6, all_4_0, n8, n14, simplifying with
% 52.82/8.28 | (4), (11) gives:
% 52.82/8.28 | (13) all_4_0 = n6
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (7), (12), (13) imply:
% 52.82/8.28 | (14) $false
% 52.82/8.28 |
% 52.82/8.28 | CLOSE: (14) is inconsistent.
% 52.82/8.28 |
% 52.82/8.28 End of proof
% 52.82/8.28
% 52.82/8.28 Sub-proof #129 shows that the following formulas are inconsistent:
% 52.82/8.28 ----------------------------------------------------------------
% 52.82/8.28 (1) all_4_4 = n12
% 52.82/8.28 (2) all_4_1 = n10
% 52.82/8.28 (3) sum(n14, all_4_1) = all_4_0
% 52.82/8.28 (4) all_4_7 = n12
% 52.82/8.28 (5) sum(n12, n12) = n8
% 52.82/8.28 (6) sum(n14, n10) = n8
% 52.82/8.28 (7) sum(all_4_7, all_4_4) = all_4_3
% 52.82/8.28 (8) ~ (all_4_0 = all_4_3)
% 52.82/8.28 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.82/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 52.82/8.28
% 52.82/8.28 Begin of proof
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (1), (4), (7) imply:
% 52.82/8.28 | (10) sum(n12, n12) = all_4_3
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (2), (3) imply:
% 52.82/8.28 | (11) sum(n14, n10) = all_4_0
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n8, all_4_3, n12, n12, simplifying with
% 52.82/8.28 | (5), (10) gives:
% 52.82/8.28 | (12) all_4_3 = n8
% 52.82/8.28 |
% 52.82/8.28 | GROUND_INST: instantiating (9) with n8, all_4_0, n10, n14, simplifying with
% 52.82/8.28 | (6), (11) gives:
% 52.82/8.28 | (13) all_4_0 = n8
% 52.82/8.28 |
% 52.82/8.28 | REDUCE: (8), (12), (13) imply:
% 52.82/8.28 | (14) $false
% 53.16/8.28 |
% 53.16/8.28 | CLOSE: (14) is inconsistent.
% 53.16/8.28 |
% 53.16/8.28 End of proof
% 53.16/8.28
% 53.16/8.28 Sub-proof #130 shows that the following formulas are inconsistent:
% 53.16/8.28 ----------------------------------------------------------------
% 53.16/8.28 (1) all_4_7 = n13
% 53.16/8.28 (2) all_4_4 = n13
% 53.16/8.28 (3) sum(n14, all_4_1) = all_4_0
% 53.16/8.28 (4) all_4_1 = n12
% 53.16/8.28 (5) sum(all_4_7, all_4_4) = all_4_3
% 53.16/8.28 (6) sum(n13, n13) = n10
% 53.16/8.28 (7) ~ (all_4_0 = all_4_3)
% 53.16/8.28 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.16/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 53.16/8.28 (9) sum(n14, n12) = n10
% 53.16/8.28
% 53.16/8.28 Begin of proof
% 53.16/8.28 |
% 53.16/8.28 | REDUCE: (1), (2), (5) imply:
% 53.16/8.28 | (10) sum(n13, n13) = all_4_3
% 53.16/8.28 |
% 53.16/8.28 | REDUCE: (3), (4) imply:
% 53.16/8.28 | (11) sum(n14, n12) = all_4_0
% 53.16/8.28 |
% 53.16/8.28 | GROUND_INST: instantiating (8) with n10, all_4_3, n13, n13, simplifying with
% 53.16/8.28 | (6), (10) gives:
% 53.16/8.28 | (12) all_4_3 = n10
% 53.16/8.28 |
% 53.16/8.28 | GROUND_INST: instantiating (8) with n10, all_4_0, n12, n14, simplifying with
% 53.16/8.28 | (9), (11) gives:
% 53.16/8.28 | (13) all_4_0 = n10
% 53.16/8.28 |
% 53.16/8.28 | REDUCE: (7), (12), (13) imply:
% 53.16/8.28 | (14) $false
% 53.16/8.28 |
% 53.16/8.28 | CLOSE: (14) is inconsistent.
% 53.16/8.28 |
% 53.16/8.28 End of proof
% 53.16/8.28
% 53.16/8.28 Sub-proof #131 shows that the following formulas are inconsistent:
% 53.16/8.28 ----------------------------------------------------------------
% 53.16/8.28 (1) sum(n14, all_4_1) = all_4_0
% 53.16/8.28 (2) all_4_1 = all_4_7
% 53.16/8.28 (3) all_4_4 = n14
% 53.16/8.28 (4) sum(all_4_7, all_4_4) = all_4_3
% 53.16/8.28 (5) sum(n14, n14) = n12
% 53.16/8.28 (6) ~ (all_4_0 = all_4_3)
% 53.16/8.28 (7) all_4_1 = all_4_4
% 53.16/8.28 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.16/8.28 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 53.16/8.28
% 53.16/8.28 Begin of proof
% 53.16/8.28 |
% 53.16/8.28 | COMBINE_EQS: (2), (7) imply:
% 53.16/8.28 | (9) all_4_4 = all_4_7
% 53.16/8.28 |
% 53.16/8.28 | SIMP: (9) implies:
% 53.16/8.28 | (10) all_4_4 = all_4_7
% 53.16/8.28 |
% 53.16/8.28 | COMBINE_EQS: (3), (10) imply:
% 53.16/8.28 | (11) all_4_7 = n14
% 53.16/8.28 |
% 53.16/8.28 | COMBINE_EQS: (2), (11) imply:
% 53.16/8.28 | (12) all_4_1 = n14
% 53.16/8.28 |
% 53.16/8.28 | REDUCE: (3), (4), (11) imply:
% 53.16/8.28 | (13) sum(n14, n14) = all_4_3
% 53.16/8.28 |
% 53.16/8.28 | REDUCE: (1), (12) imply:
% 53.16/8.28 | (14) sum(n14, n14) = all_4_0
% 53.16/8.28 |
% 53.16/8.28 | GROUND_INST: instantiating (8) with n12, all_4_0, n14, n14, simplifying with
% 53.16/8.28 | (5), (14) gives:
% 53.16/8.28 | (15) all_4_0 = n12
% 53.16/8.28 |
% 53.16/8.28 | GROUND_INST: instantiating (8) with all_4_3, all_4_0, n14, n14, simplifying
% 53.16/8.28 | with (13), (14) gives:
% 53.16/8.28 | (16) all_4_0 = all_4_3
% 53.16/8.28 |
% 53.16/8.28 | REF_CLOSE: (6), (15), (16) are inconsistent by sub-proof #132.
% 53.16/8.28 |
% 53.16/8.28 End of proof
% 53.16/8.28
% 53.16/8.28 Sub-proof #132 shows that the following formulas are inconsistent:
% 53.16/8.28 ----------------------------------------------------------------
% 53.16/8.28 (1) all_4_0 = n12
% 53.16/8.28 (2) all_4_0 = all_4_3
% 53.16/8.28 (3) ~ (all_4_0 = all_4_3)
% 53.16/8.28
% 53.16/8.28 Begin of proof
% 53.16/8.28 |
% 53.16/8.28 | COMBINE_EQS: (1), (2) imply:
% 53.16/8.28 | (4) all_4_3 = n12
% 53.16/8.28 |
% 53.16/8.28 | REDUCE: (1), (3), (4) imply:
% 53.16/8.28 | (5) $false
% 53.16/8.28 |
% 53.16/8.28 | CLOSE: (5) is inconsistent.
% 53.16/8.28 |
% 53.16/8.28 End of proof
% 53.16/8.28 % SZS output end Proof for theBenchmark
% 53.16/8.28
% 53.16/8.28 7664ms
%------------------------------------------------------------------------------