TSTP Solution File: ALG127+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:36:31 EDT 2023
% Result : Theorem 19.68s 3.42s
% Output : Proof 59.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 05:08:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 ________ _____
% 0.19/0.58 ___ __ \_________(_)________________________________
% 0.19/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.58 (2023-06-19)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2023
% 0.19/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60 Running up to 7 provers in parallel.
% 0.19/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.52/1.64 Prover 1: Preprocessing ...
% 7.19/1.65 Prover 4: Preprocessing ...
% 7.19/1.68 Prover 6: Preprocessing ...
% 7.19/1.68 Prover 5: Preprocessing ...
% 7.19/1.68 Prover 2: Preprocessing ...
% 7.19/1.68 Prover 0: Preprocessing ...
% 7.19/1.68 Prover 3: Preprocessing ...
% 13.82/2.53 Prover 2: Constructing countermodel ...
% 13.82/2.53 Prover 4: Constructing countermodel ...
% 13.82/2.53 Prover 3: Constructing countermodel ...
% 13.82/2.54 Prover 1: Constructing countermodel ...
% 13.82/2.54 Prover 6: Constructing countermodel ...
% 13.82/2.55 Prover 0: Constructing countermodel ...
% 18.90/3.24 Prover 5: Constructing countermodel ...
% 19.68/3.42 Prover 3: proved (2809ms)
% 19.68/3.42
% 19.68/3.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.68/3.42
% 19.68/3.42 Prover 0: proved (2813ms)
% 19.68/3.42
% 19.68/3.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.68/3.42
% 20.57/3.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 20.57/3.44 Prover 6: stopped
% 20.57/3.44 Prover 2: stopped
% 20.57/3.45 Prover 5: stopped
% 20.57/3.47 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 20.57/3.47 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 20.57/3.47 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 20.57/3.47 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 23.59/3.88 Prover 11: Preprocessing ...
% 23.59/3.88 Prover 13: Preprocessing ...
% 24.07/3.89 Prover 10: Preprocessing ...
% 24.07/3.89 Prover 8: Preprocessing ...
% 24.07/3.91 Prover 7: Preprocessing ...
% 24.69/4.08 Prover 8: Constructing countermodel ...
% 26.17/4.20 Prover 13: Constructing countermodel ...
% 26.79/4.27 Prover 7: Constructing countermodel ...
% 26.79/4.28 Prover 10: Constructing countermodel ...
% 27.42/4.35 Prover 11: Constructing countermodel ...
% 53.40/7.72 Prover 1: Found proof (size 11354)
% 53.40/7.72 Prover 1: proved (7112ms)
% 53.40/7.72 Prover 7: stopped
% 53.40/7.72 Prover 13: stopped
% 53.40/7.72 Prover 10: stopped
% 53.40/7.72 Prover 8: stopped
% 53.40/7.72 Prover 11: stopped
% 53.40/7.72 Prover 4: stopped
% 53.40/7.72
% 53.40/7.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.40/7.72
% 54.81/8.24 % SZS output start Proof for theBenchmark
% 54.87/8.27 Assumptions after simplification:
% 54.87/8.27 ---------------------------------
% 54.87/8.27
% 54.87/8.27 (ax1)
% 54.87/8.32 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 54.87/8.32 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 54.87/8.32 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 54.87/8.32 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 54.87/8.32 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 54.87/8.32 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 54.87/8.32 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 54.87/8.32 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 54.87/8.32 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 54.87/8.32 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 54.87/8.32 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 54.87/8.32 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 54.87/8.32 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 54.87/8.32 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 54.87/8.32 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 54.87/8.32 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 54.87/8.32 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 54.87/8.32 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 54.87/8.32 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 54.87/8.32 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 54.87/8.32 | v0 = e11 | v0 = e10))
% 54.87/8.32
% 54.87/8.32 (ax10)
% 55.30/8.34 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.30/8.34 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.30/8.34 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.30/8.34 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v5 & op1(e13, e12)
% 55.30/8.34 = v12 & op1(e13, e11) = v9 & op1(e13, e10) = v6 & op1(e12, e13) = v15 &
% 55.30/8.34 op1(e12, e12) = v3 & op1(e12, e11) = v8 & op1(e12, e10) = v4 & op1(e11, e13)
% 55.30/8.34 = v14 & op1(e11, e12) = v11 & op1(e11, e11) = v1 & op1(e11, e10) = v2 &
% 55.30/8.34 op1(e10, e13) = v13 & op1(e10, e12) = v10 & op1(e10, e11) = v7 & op1(e10,
% 55.30/8.34 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 55.30/8.34 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 55.30/8.34 $i(v1) & $i(v0) & ((v15 = e12 & ~ (v5 = e13) & ~ (v3 = e13) & ( ~ (v14 =
% 55.30/8.34 e11) | ~ (v1 = e13)) & ( ~ (v13 = e10) | ~ (v0 = e13))) | (v14 =
% 55.30/8.34 e11 & ~ (v5 = e13) & ~ (v1 = e13) & ( ~ (v15 = e12) | ~ (v3 = e13)) &
% 55.30/8.34 ( ~ (v13 = e10) | ~ (v0 = e13))) | (v13 = e10 & ~ (v5 = e13) & ~ (v0
% 55.30/8.34 = e13) & ( ~ (v15 = e12) | ~ (v3 = e13)) & ( ~ (v14 = e11) | ~ (v1 =
% 55.30/8.34 e13))) | (v12 = e13 & ~ (v5 = e12) & ~ (v3 = e12) & ( ~ (v11 =
% 55.30/8.34 e11) | ~ (v1 = e12)) & ( ~ (v10 = e10) | ~ (v0 = e12))) | (v11 =
% 55.30/8.34 e11 & ~ (v3 = e12) & ~ (v1 = e12) & ( ~ (v12 = e13) | ~ (v5 = e12)) &
% 55.30/8.34 ( ~ (v10 = e10) | ~ (v0 = e12))) | (v10 = e10 & ~ (v3 = e12) & ~ (v0
% 55.30/8.34 = e12) & ( ~ (v12 = e13) | ~ (v5 = e12)) & ( ~ (v11 = e11) | ~ (v1 =
% 55.30/8.34 e12))) | (v9 = e13 & ~ (v5 = e11) & ~ (v1 = e11) & ( ~ (v8 = e12)
% 55.30/8.34 | ~ (v3 = e11)) & ( ~ (v7 = e10) | ~ (v0 = e11))) | (v8 = e12 & ~
% 55.30/8.34 (v3 = e11) & ~ (v1 = e11) & ( ~ (v9 = e13) | ~ (v5 = e11)) & ( ~ (v7 =
% 55.30/8.34 e10) | ~ (v0 = e11))) | (v7 = e10 & ~ (v1 = e11) & ~ (v0 = e11) &
% 55.30/8.34 ( ~ (v9 = e13) | ~ (v5 = e11)) & ( ~ (v8 = e12) | ~ (v3 = e11))) | (v6
% 55.30/8.34 = e13 & ~ (v5 = e10) & ~ (v0 = e10) & ( ~ (v4 = e12) | ~ (v3 = e10))
% 55.30/8.34 & ( ~ (v2 = e11) | ~ (v1 = e10))) | (v4 = e12 & ~ (v3 = e10) & ~ (v0
% 55.30/8.34 = e10) & ( ~ (v6 = e13) | ~ (v5 = e10)) & ( ~ (v2 = e11) | ~ (v1 =
% 55.30/8.34 e10))) | (v2 = e11 & ~ (v1 = e10) & ~ (v0 = e10) & ( ~ (v6 = e13)
% 55.30/8.34 | ~ (v5 = e10)) & ( ~ (v4 = e12) | ~ (v3 = e10)))) & ((v5 = e13 & (
% 55.30/8.34 ~ (v3 = e13) | v15 = e12) & ( ~ (v1 = e13) | v14 = e11) & ( ~ (v0 =
% 55.30/8.34 e13) | v13 = e10)) | (v3 = e12 & ( ~ (v5 = e12) | v12 = e13) & ( ~
% 55.30/8.34 (v1 = e12) | v11 = e11) & ( ~ (v0 = e12) | v10 = e10)) | (v1 = e11 & (
% 55.30/8.34 ~ (v5 = e11) | v9 = e13) & ( ~ (v3 = e11) | v8 = e12) & ( ~ (v0 = e11)
% 55.30/8.34 | v7 = e10)) | (v0 = e10 & ( ~ (v5 = e10) | v6 = e13) & ( ~ (v3 = e10)
% 55.30/8.34 | v4 = e12) & ( ~ (v1 = e10) | v2 = e11))))
% 55.30/8.34
% 55.30/8.34 (ax11)
% 55.30/8.36 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.30/8.36 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.30/8.36 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.30/8.36 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v5 & op2(e23, e22)
% 55.30/8.36 = v12 & op2(e23, e21) = v9 & op2(e23, e20) = v6 & op2(e22, e23) = v15 &
% 55.30/8.36 op2(e22, e22) = v3 & op2(e22, e21) = v8 & op2(e22, e20) = v4 & op2(e21, e23)
% 55.30/8.36 = v14 & op2(e21, e22) = v11 & op2(e21, e21) = v1 & op2(e21, e20) = v2 &
% 55.30/8.36 op2(e20, e23) = v13 & op2(e20, e22) = v10 & op2(e20, e21) = v7 & op2(e20,
% 55.30/8.36 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 55.30/8.36 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 55.30/8.36 $i(v1) & $i(v0) & ((v15 = e22 & ~ (v5 = e23) & ~ (v3 = e23) & ( ~ (v14 =
% 55.30/8.36 e21) | ~ (v1 = e23)) & ( ~ (v13 = e20) | ~ (v0 = e23))) | (v14 =
% 55.30/8.36 e21 & ~ (v5 = e23) & ~ (v1 = e23) & ( ~ (v15 = e22) | ~ (v3 = e23)) &
% 55.30/8.36 ( ~ (v13 = e20) | ~ (v0 = e23))) | (v13 = e20 & ~ (v5 = e23) & ~ (v0
% 55.30/8.36 = e23) & ( ~ (v15 = e22) | ~ (v3 = e23)) & ( ~ (v14 = e21) | ~ (v1 =
% 55.30/8.36 e23))) | (v12 = e23 & ~ (v5 = e22) & ~ (v3 = e22) & ( ~ (v11 =
% 55.30/8.36 e21) | ~ (v1 = e22)) & ( ~ (v10 = e20) | ~ (v0 = e22))) | (v11 =
% 55.30/8.36 e21 & ~ (v3 = e22) & ~ (v1 = e22) & ( ~ (v12 = e23) | ~ (v5 = e22)) &
% 55.30/8.36 ( ~ (v10 = e20) | ~ (v0 = e22))) | (v10 = e20 & ~ (v3 = e22) & ~ (v0
% 55.30/8.36 = e22) & ( ~ (v12 = e23) | ~ (v5 = e22)) & ( ~ (v11 = e21) | ~ (v1 =
% 55.30/8.36 e22))) | (v9 = e23 & ~ (v5 = e21) & ~ (v1 = e21) & ( ~ (v8 = e22)
% 55.30/8.36 | ~ (v3 = e21)) & ( ~ (v7 = e20) | ~ (v0 = e21))) | (v8 = e22 & ~
% 55.30/8.36 (v3 = e21) & ~ (v1 = e21) & ( ~ (v9 = e23) | ~ (v5 = e21)) & ( ~ (v7 =
% 55.30/8.36 e20) | ~ (v0 = e21))) | (v7 = e20 & ~ (v1 = e21) & ~ (v0 = e21) &
% 55.30/8.36 ( ~ (v9 = e23) | ~ (v5 = e21)) & ( ~ (v8 = e22) | ~ (v3 = e21))) | (v6
% 55.30/8.36 = e23 & ~ (v5 = e20) & ~ (v0 = e20) & ( ~ (v4 = e22) | ~ (v3 = e20))
% 55.30/8.36 & ( ~ (v2 = e21) | ~ (v1 = e20))) | (v4 = e22 & ~ (v3 = e20) & ~ (v0
% 55.30/8.36 = e20) & ( ~ (v6 = e23) | ~ (v5 = e20)) & ( ~ (v2 = e21) | ~ (v1 =
% 55.30/8.36 e20))) | (v2 = e21 & ~ (v1 = e20) & ~ (v0 = e20) & ( ~ (v6 = e23)
% 55.30/8.36 | ~ (v5 = e20)) & ( ~ (v4 = e22) | ~ (v3 = e20)))) & ((v5 = e23 & (
% 55.30/8.36 ~ (v3 = e23) | v15 = e22) & ( ~ (v1 = e23) | v14 = e21) & ( ~ (v0 =
% 55.30/8.36 e23) | v13 = e20)) | (v3 = e22 & ( ~ (v5 = e22) | v12 = e23) & ( ~
% 55.30/8.36 (v1 = e22) | v11 = e21) & ( ~ (v0 = e22) | v10 = e20)) | (v1 = e21 & (
% 55.30/8.36 ~ (v5 = e21) | v9 = e23) & ( ~ (v3 = e21) | v8 = e22) & ( ~ (v0 = e21)
% 55.30/8.36 | v7 = e20)) | (v0 = e20 & ( ~ (v5 = e20) | v6 = e23) & ( ~ (v3 = e20)
% 55.30/8.36 | v4 = e22) & ( ~ (v1 = e20) | v2 = e21))))
% 55.30/8.36
% 55.30/8.36 (ax12)
% 55.30/8.36 op1(e12, e13) = e10 & op1(e12, e12) = e13 & op1(e12, e10) = e11 & $i(e13) &
% 55.30/8.36 $i(e12) & $i(e11) & $i(e10)
% 55.30/8.36
% 55.30/8.36 (ax13)
% 55.30/8.36 op2(e22, e23) = e20 & op2(e22, e22) = e23 & op2(e22, e20) = e21 & $i(e23) &
% 55.30/8.36 $i(e22) & $i(e21) & $i(e20)
% 55.30/8.36
% 55.30/8.36 (ax14)
% 55.30/8.36 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.30/8.36 ? [v2: $i] : (h1(e13) = v1 & h1(e12) = e20 & h1(e11) = v2 & h1(e10) = v0 &
% 55.30/8.36 op2(e20, v1) = v0 & op2(e20, v0) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 55.30/8.36 & $i(v0))
% 55.30/8.36
% 55.30/8.36 (ax15)
% 55.30/8.36 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.30/8.36 ? [v2: $i] : (h2(e13) = v1 & h2(e12) = e21 & h2(e11) = v2 & h2(e10) = v0 &
% 55.30/8.36 op2(e21, v1) = v0 & op2(e21, v0) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 55.30/8.36 & $i(v0))
% 55.30/8.36
% 55.30/8.36 (ax16)
% 55.30/8.36 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.30/8.36 ? [v2: $i] : (h3(e13) = v1 & h3(e12) = e22 & h3(e11) = v2 & h3(e10) = v0 &
% 55.30/8.36 op2(e22, v1) = v0 & op2(e22, v0) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 55.30/8.36 & $i(v0))
% 55.30/8.36
% 55.30/8.36 (ax17)
% 55.30/8.36 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.30/8.36 ? [v2: $i] : (h4(e13) = v1 & h4(e12) = e23 & h4(e11) = v2 & h4(e10) = v0 &
% 55.30/8.36 op2(e23, v1) = v0 & op2(e23, v0) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 55.30/8.36 & $i(v0))
% 55.30/8.36
% 55.30/8.36 (ax2)
% 55.30/8.37 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.30/8.37 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.30/8.37 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.30/8.37 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 55.30/8.37 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 55.30/8.37 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 55.30/8.37 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 55.30/8.37 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 55.30/8.37 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.30/8.37 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.30/8.37 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 55.30/8.37 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 55.30/8.37 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 55.30/8.37 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 55.30/8.37 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 55.30/8.37 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 55.30/8.37 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 55.30/8.37 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 55.30/8.37 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 55.30/8.37 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 55.30/8.37 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 55.30/8.37 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 55.30/8.37 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 55.30/8.37 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 55.30/8.37 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 55.30/8.37 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 55.30/8.37 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 55.30/8.37 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 55.30/8.37 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 55.30/8.37 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 55.30/8.37 (v3 = e10 | v2 = e10 | v1 = e10))))
% 55.30/8.37
% 55.30/8.37 (ax3)
% 55.30/8.38 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.30/8.38 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.30/8.38 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.30/8.38 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 55.30/8.38 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 55.30/8.38 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 55.30/8.38 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 55.30/8.38 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 55.30/8.38 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.30/8.38 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.30/8.38 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 55.30/8.38 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 55.30/8.38 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 55.30/8.38 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 55.30/8.38 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 55.30/8.38 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 55.30/8.38 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 55.30/8.38 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 55.30/8.38 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 55.30/8.38 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 55.30/8.38 | v0 = e21 | v0 = e20))
% 55.30/8.38
% 55.30/8.38 (ax4)
% 55.30/8.39 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.30/8.39 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.30/8.39 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.30/8.39 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 55.30/8.39 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 55.30/8.39 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 55.30/8.39 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 55.30/8.39 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 55.30/8.39 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.30/8.39 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.30/8.39 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 55.30/8.39 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 55.30/8.39 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 55.30/8.39 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 55.30/8.39 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 55.30/8.39 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 55.30/8.39 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 55.30/8.39 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 55.30/8.39 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 55.30/8.39 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 55.30/8.39 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 55.30/8.39 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 55.30/8.39 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 55.30/8.39 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 55.30/8.39 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 55.30/8.39 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 55.30/8.39 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 55.30/8.39 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 55.30/8.39 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 55.30/8.39 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 55.30/8.39 (v3 = e20 | v2 = e20 | v1 = e20))))
% 55.30/8.39
% 55.30/8.39 (ax5)
% 55.56/8.40 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.56/8.40 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.56/8.40 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.56/8.40 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 55.56/8.40 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 55.56/8.40 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 55.56/8.40 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 55.56/8.40 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 55.56/8.40 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 55.56/8.40 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 55.56/8.40 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 55.56/8.40 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 55.56/8.40 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 55.56/8.40 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 55.56/8.40 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 55.56/8.40 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 55.56/8.40 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 55.56/8.40 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 55.56/8.40 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 55.56/8.40 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 55.56/8.40 $i(v1) & $i(v0))
% 55.56/8.40
% 55.56/8.40 (ax6)
% 55.56/8.40 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.56/8.40 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.56/8.40 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.56/8.40 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 55.56/8.40 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 55.56/8.40 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 55.56/8.40 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 55.56/8.40 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 55.56/8.40 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 55.56/8.40 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 55.56/8.40 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 55.56/8.40 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 55.56/8.40 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 55.56/8.40 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 55.56/8.40 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 55.56/8.40 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 55.56/8.40 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 55.56/8.40 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 55.56/8.40 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 55.56/8.40 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 55.56/8.40 $i(v1) & $i(v0))
% 55.56/8.40
% 55.56/8.40 (ax7)
% 55.56/8.40 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 =
% 55.56/8.40 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 55.56/8.40
% 55.56/8.40 (ax8)
% 55.56/8.40 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 55.56/8.40 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 55.56/8.40
% 55.56/8.40 (co1)
% 55.56/8.43 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 55.56/8.43 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 55.56/8.43 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 55.56/8.43 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 55.56/8.43 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 55.56/8.43 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 55.56/8.43 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 55.56/8.43 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 55.56/8.43 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 55.56/8.43 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 55.56/8.43 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 55.56/8.43 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 55.56/8.43 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 55.56/8.43 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 55.56/8.43 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 55.56/8.43 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 55.56/8.43 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 55.56/8.43 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 55.56/8.43 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 55.56/8.43 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 55.56/8.43 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 55.56/8.43 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 55.56/8.43 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 55.56/8.43 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 55.56/8.43 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 55.56/8.43 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 55.56/8.43 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 55.56/8.43 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 55.56/8.43 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 55.56/8.43 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 55.56/8.43 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 55.56/8.43 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 55.56/8.43 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 55.56/8.43 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 55.56/8.43 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 55.56/8.43 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 55.56/8.43 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 55.56/8.43 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 55.56/8.43 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 55.56/8.43 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 55.56/8.43 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 55.56/8.43 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 55.56/8.43 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 55.56/8.43 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 55.56/8.43 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 55.56/8.43 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 55.56/8.43 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 55.56/8.43 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 55.56/8.43 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 55.56/8.43 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 55.56/8.43 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 55.56/8.43 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 55.56/8.43 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 55.56/8.43 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 55.56/8.43 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 55.56/8.43 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 55.56/8.43 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 55.56/8.43 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 55.56/8.43 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 55.56/8.43 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 55.56/8.43 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 55.56/8.43 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 55.56/8.43 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 55.56/8.43 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 55.56/8.43 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 55.56/8.43 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 55.56/8.43 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 55.56/8.43 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 55.56/8.43 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 55.56/8.43 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 55.56/8.43 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 55.56/8.43 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 55.56/8.43 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 55.56/8.43 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 55.56/8.43 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 55.56/8.43 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 55.56/8.43 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 55.56/8.43 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 55.56/8.43 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 55.56/8.43 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 55.56/8.43 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 55.56/8.43 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 55.56/8.43 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 55.56/8.43 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 55.56/8.43 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 55.56/8.43 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 55.56/8.43 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 55.56/8.43 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 55.56/8.43 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 55.56/8.43 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 55.56/8.43 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 55.56/8.43 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 55.56/8.43 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 55.56/8.43 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 55.56/8.43 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 55.56/8.43 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 55.56/8.43 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.56/8.43 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 55.56/8.43 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 55.56/8.43 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 55.56/8.43 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 55.56/8.43 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 55.56/8.43 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 55.56/8.43 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 55.56/8.43 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 55.56/8.43 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 55.56/8.43 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 55.56/8.43 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 55.56/8.43 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 55.56/8.43 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 55.56/8.43 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 55.56/8.43 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 55.56/8.43 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 55.56/8.43 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 55.56/8.43 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 55.56/8.43 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 55.56/8.43 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 55.56/8.43 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 55.56/8.43 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 55.56/8.43 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 55.56/8.43 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 55.56/8.43 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 55.56/8.43 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 55.56/8.43 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 55.56/8.43 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 55.56/8.43 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 55.56/8.43 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 55.56/8.43 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 55.56/8.43 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 55.56/8.43 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 55.56/8.43
% 55.56/8.43 (function-axioms)
% 55.56/8.43 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 55.56/8.43 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 55.56/8.43 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 55.56/8.43 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 55.56/8.43 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 55.56/8.43 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 55.56/8.43 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 55.56/8.43 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 55.56/8.43
% 55.56/8.43 Further assumptions not needed in the proof:
% 55.56/8.43 --------------------------------------------
% 55.56/8.43 ax9
% 55.56/8.43
% 55.56/8.43 Those formulas are unsatisfiable:
% 55.56/8.43 ---------------------------------
% 55.56/8.43
% 55.56/8.43 Begin of proof
% 55.56/8.44 |
% 55.56/8.44 | ALPHA: (ax1) implies:
% 55.56/8.44 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.56/8.44 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.56/8.44 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.56/8.44 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 55.56/8.44 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 55.56/8.44 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 55.56/8.44 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 55.56/8.44 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 55.56/8.44 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.56/8.44 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.56/8.44 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 55.56/8.44 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 55.56/8.44 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 55.56/8.44 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 55.56/8.44 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 55.56/8.44 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 55.56/8.44 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 55.56/8.44 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 55.56/8.44 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 55.56/8.44 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 55.56/8.44 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 55.56/8.44 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 55.56/8.44 |
% 55.56/8.44 | ALPHA: (ax2) implies:
% 55.56/8.45 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.56/8.45 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.56/8.45 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.56/8.45 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 55.56/8.45 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 55.56/8.45 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 55.56/8.45 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 55.56/8.45 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 55.56/8.45 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.56/8.45 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.56/8.45 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 55.56/8.45 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 55.56/8.45 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 55.56/8.45 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 55.56/8.45 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 55.56/8.45 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 55.56/8.45 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 55.56/8.45 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 55.56/8.45 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 55.56/8.45 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 55.56/8.45 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 55.56/8.45 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 55.56/8.45 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 55.56/8.45 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 55.56/8.45 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 55.56/8.45 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 55.56/8.45 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 55.56/8.45 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 55.56/8.45 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 55.56/8.45 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 55.56/8.45 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 55.56/8.45 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 55.56/8.45 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 55.56/8.45 | = e10))))
% 55.56/8.45 |
% 55.56/8.45 | ALPHA: (ax3) implies:
% 55.83/8.45 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.83/8.45 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.83/8.45 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.83/8.45 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 55.83/8.45 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 55.83/8.45 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 55.83/8.45 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 55.83/8.45 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 55.83/8.45 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.83/8.45 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.83/8.45 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 55.83/8.45 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 55.83/8.45 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 55.83/8.45 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 55.83/8.45 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 55.83/8.45 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 55.83/8.45 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 55.83/8.45 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 55.83/8.45 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 55.83/8.45 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 55.83/8.45 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 55.83/8.45 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 55.83/8.45 |
% 55.83/8.45 | ALPHA: (ax4) implies:
% 55.85/8.46 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.85/8.46 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.85/8.46 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.85/8.46 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 55.85/8.46 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 55.85/8.46 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 55.85/8.46 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 55.85/8.46 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 55.85/8.46 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.85/8.46 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.85/8.46 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 55.85/8.46 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 55.85/8.46 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 55.85/8.46 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 55.85/8.46 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 55.85/8.46 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 55.85/8.46 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 55.85/8.46 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 55.85/8.46 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 55.85/8.46 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 55.85/8.46 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 55.85/8.46 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 55.85/8.46 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 55.85/8.46 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 55.85/8.46 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 55.85/8.46 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 55.85/8.46 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 55.85/8.46 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 55.85/8.46 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 55.85/8.46 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 55.85/8.46 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 55.85/8.46 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 55.85/8.46 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 55.85/8.46 | = e20))))
% 55.85/8.46 |
% 55.85/8.46 | ALPHA: (ax5) implies:
% 55.85/8.47 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.85/8.47 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.85/8.47 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.85/8.47 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 55.85/8.47 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 55.85/8.47 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 55.85/8.47 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 55.85/8.47 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 55.85/8.47 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 55.85/8.47 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 55.85/8.47 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 55.85/8.47 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 55.85/8.47 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 55.85/8.47 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 55.85/8.47 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 55.85/8.47 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 55.85/8.47 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 55.85/8.47 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 55.85/8.47 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 55.85/8.47 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 55.85/8.47 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 55.85/8.47 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 55.85/8.47 |
% 55.85/8.47 | ALPHA: (ax6) implies:
% 55.85/8.47 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.85/8.47 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.85/8.47 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.85/8.47 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 55.85/8.47 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 55.85/8.47 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 55.85/8.47 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 55.85/8.47 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 55.85/8.47 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 55.85/8.47 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 55.85/8.47 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 55.85/8.47 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 55.85/8.47 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 55.85/8.47 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 55.85/8.47 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 55.85/8.47 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 55.85/8.47 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 55.85/8.47 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 55.85/8.47 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 55.85/8.47 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 55.85/8.47 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 55.85/8.47 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 55.85/8.47 |
% 55.85/8.47 | ALPHA: (ax7) implies:
% 55.85/8.47 | (7) ~ (e12 = e10)
% 55.85/8.47 | (8) ~ (e12 = e11)
% 55.85/8.47 | (9) ~ (e13 = e12)
% 55.85/8.47 |
% 55.85/8.47 | ALPHA: (ax8) implies:
% 55.85/8.47 | (10) ~ (e22 = e20)
% 55.85/8.47 | (11) ~ (e22 = e21)
% 55.85/8.47 | (12) ~ (e23 = e22)
% 55.85/8.47 |
% 55.85/8.47 | ALPHA: (ax10) implies:
% 55.85/8.48 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.85/8.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 55.85/8.48 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 55.85/8.48 | $i] : ? [v15: $i] : (op1(e13, e13) = v5 & op1(e13, e12) = v12 &
% 55.85/8.48 | op1(e13, e11) = v9 & op1(e13, e10) = v6 & op1(e12, e13) = v15 &
% 55.85/8.48 | op1(e12, e12) = v3 & op1(e12, e11) = v8 & op1(e12, e10) = v4 &
% 55.85/8.48 | op1(e11, e13) = v14 & op1(e11, e12) = v11 & op1(e11, e11) = v1 &
% 55.85/8.48 | op1(e11, e10) = v2 & op1(e10, e13) = v13 & op1(e10, e12) = v10 &
% 55.85/8.48 | op1(e10, e11) = v7 & op1(e10, e10) = v0 & $i(v15) & $i(v14) &
% 55.85/8.48 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.85/8.48 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v15
% 55.85/8.48 | = e12 & ~ (v5 = e13) & ~ (v3 = e13) & ( ~ (v14 = e11) | ~ (v1
% 55.85/8.48 | = e13)) & ( ~ (v13 = e10) | ~ (v0 = e13))) | (v14 = e11 &
% 55.85/8.48 | ~ (v5 = e13) & ~ (v1 = e13) & ( ~ (v15 = e12) | ~ (v3 = e13))
% 55.85/8.48 | & ( ~ (v13 = e10) | ~ (v0 = e13))) | (v13 = e10 & ~ (v5 = e13)
% 55.85/8.48 | & ~ (v0 = e13) & ( ~ (v15 = e12) | ~ (v3 = e13)) & ( ~ (v14 =
% 55.85/8.48 | e11) | ~ (v1 = e13))) | (v12 = e13 & ~ (v5 = e12) & ~ (v3
% 55.85/8.48 | = e12) & ( ~ (v11 = e11) | ~ (v1 = e12)) & ( ~ (v10 = e10) |
% 55.85/8.48 | ~ (v0 = e12))) | (v11 = e11 & ~ (v3 = e12) & ~ (v1 = e12) &
% 55.85/8.48 | ( ~ (v12 = e13) | ~ (v5 = e12)) & ( ~ (v10 = e10) | ~ (v0 =
% 55.85/8.48 | e12))) | (v10 = e10 & ~ (v3 = e12) & ~ (v0 = e12) & ( ~
% 55.85/8.48 | (v12 = e13) | ~ (v5 = e12)) & ( ~ (v11 = e11) | ~ (v1 =
% 55.85/8.48 | e12))) | (v9 = e13 & ~ (v5 = e11) & ~ (v1 = e11) & ( ~ (v8
% 55.85/8.48 | = e12) | ~ (v3 = e11)) & ( ~ (v7 = e10) | ~ (v0 = e11))) |
% 55.85/8.48 | (v8 = e12 & ~ (v3 = e11) & ~ (v1 = e11) & ( ~ (v9 = e13) | ~
% 55.85/8.48 | (v5 = e11)) & ( ~ (v7 = e10) | ~ (v0 = e11))) | (v7 = e10 &
% 55.85/8.48 | ~ (v1 = e11) & ~ (v0 = e11) & ( ~ (v9 = e13) | ~ (v5 = e11)) &
% 55.85/8.48 | ( ~ (v8 = e12) | ~ (v3 = e11))) | (v6 = e13 & ~ (v5 = e10) &
% 55.85/8.48 | ~ (v0 = e10) & ( ~ (v4 = e12) | ~ (v3 = e10)) & ( ~ (v2 = e11)
% 55.85/8.48 | | ~ (v1 = e10))) | (v4 = e12 & ~ (v3 = e10) & ~ (v0 = e10)
% 55.85/8.48 | & ( ~ (v6 = e13) | ~ (v5 = e10)) & ( ~ (v2 = e11) | ~ (v1 =
% 55.85/8.48 | e10))) | (v2 = e11 & ~ (v1 = e10) & ~ (v0 = e10) & ( ~ (v6
% 55.85/8.48 | = e13) | ~ (v5 = e10)) & ( ~ (v4 = e12) | ~ (v3 = e10))))
% 55.85/8.48 | & ((v5 = e13 & ( ~ (v3 = e13) | v15 = e12) & ( ~ (v1 = e13) | v14 =
% 55.85/8.48 | e11) & ( ~ (v0 = e13) | v13 = e10)) | (v3 = e12 & ( ~ (v5 =
% 55.85/8.48 | e12) | v12 = e13) & ( ~ (v1 = e12) | v11 = e11) & ( ~ (v0 =
% 55.85/8.48 | e12) | v10 = e10)) | (v1 = e11 & ( ~ (v5 = e11) | v9 = e13)
% 55.85/8.48 | & ( ~ (v3 = e11) | v8 = e12) & ( ~ (v0 = e11) | v7 = e10)) | (v0
% 55.85/8.48 | = e10 & ( ~ (v5 = e10) | v6 = e13) & ( ~ (v3 = e10) | v4 = e12)
% 55.85/8.48 | & ( ~ (v1 = e10) | v2 = e11))))
% 55.85/8.48 |
% 55.85/8.48 | ALPHA: (ax11) implies:
% 55.85/8.48 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.85/8.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 55.85/8.48 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 55.85/8.48 | $i] : ? [v15: $i] : (op2(e23, e23) = v5 & op2(e23, e22) = v12 &
% 55.85/8.48 | op2(e23, e21) = v9 & op2(e23, e20) = v6 & op2(e22, e23) = v15 &
% 55.85/8.48 | op2(e22, e22) = v3 & op2(e22, e21) = v8 & op2(e22, e20) = v4 &
% 55.85/8.48 | op2(e21, e23) = v14 & op2(e21, e22) = v11 & op2(e21, e21) = v1 &
% 55.85/8.48 | op2(e21, e20) = v2 & op2(e20, e23) = v13 & op2(e20, e22) = v10 &
% 55.85/8.48 | op2(e20, e21) = v7 & op2(e20, e20) = v0 & $i(v15) & $i(v14) &
% 55.85/8.48 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.85/8.48 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v15
% 55.85/8.48 | = e22 & ~ (v5 = e23) & ~ (v3 = e23) & ( ~ (v14 = e21) | ~ (v1
% 55.85/8.48 | = e23)) & ( ~ (v13 = e20) | ~ (v0 = e23))) | (v14 = e21 &
% 55.85/8.48 | ~ (v5 = e23) & ~ (v1 = e23) & ( ~ (v15 = e22) | ~ (v3 = e23))
% 55.85/8.48 | & ( ~ (v13 = e20) | ~ (v0 = e23))) | (v13 = e20 & ~ (v5 = e23)
% 55.85/8.48 | & ~ (v0 = e23) & ( ~ (v15 = e22) | ~ (v3 = e23)) & ( ~ (v14 =
% 55.85/8.48 | e21) | ~ (v1 = e23))) | (v12 = e23 & ~ (v5 = e22) & ~ (v3
% 55.85/8.48 | = e22) & ( ~ (v11 = e21) | ~ (v1 = e22)) & ( ~ (v10 = e20) |
% 55.85/8.48 | ~ (v0 = e22))) | (v11 = e21 & ~ (v3 = e22) & ~ (v1 = e22) &
% 55.85/8.48 | ( ~ (v12 = e23) | ~ (v5 = e22)) & ( ~ (v10 = e20) | ~ (v0 =
% 55.85/8.48 | e22))) | (v10 = e20 & ~ (v3 = e22) & ~ (v0 = e22) & ( ~
% 55.85/8.48 | (v12 = e23) | ~ (v5 = e22)) & ( ~ (v11 = e21) | ~ (v1 =
% 55.85/8.48 | e22))) | (v9 = e23 & ~ (v5 = e21) & ~ (v1 = e21) & ( ~ (v8
% 55.85/8.48 | = e22) | ~ (v3 = e21)) & ( ~ (v7 = e20) | ~ (v0 = e21))) |
% 55.85/8.48 | (v8 = e22 & ~ (v3 = e21) & ~ (v1 = e21) & ( ~ (v9 = e23) | ~
% 55.85/8.48 | (v5 = e21)) & ( ~ (v7 = e20) | ~ (v0 = e21))) | (v7 = e20 &
% 55.85/8.48 | ~ (v1 = e21) & ~ (v0 = e21) & ( ~ (v9 = e23) | ~ (v5 = e21)) &
% 55.85/8.48 | ( ~ (v8 = e22) | ~ (v3 = e21))) | (v6 = e23 & ~ (v5 = e20) &
% 55.85/8.48 | ~ (v0 = e20) & ( ~ (v4 = e22) | ~ (v3 = e20)) & ( ~ (v2 = e21)
% 55.85/8.48 | | ~ (v1 = e20))) | (v4 = e22 & ~ (v3 = e20) & ~ (v0 = e20)
% 55.85/8.48 | & ( ~ (v6 = e23) | ~ (v5 = e20)) & ( ~ (v2 = e21) | ~ (v1 =
% 55.85/8.48 | e20))) | (v2 = e21 & ~ (v1 = e20) & ~ (v0 = e20) & ( ~ (v6
% 55.85/8.48 | = e23) | ~ (v5 = e20)) & ( ~ (v4 = e22) | ~ (v3 = e20))))
% 55.85/8.49 | & ((v5 = e23 & ( ~ (v3 = e23) | v15 = e22) & ( ~ (v1 = e23) | v14 =
% 55.85/8.49 | e21) & ( ~ (v0 = e23) | v13 = e20)) | (v3 = e22 & ( ~ (v5 =
% 55.85/8.49 | e22) | v12 = e23) & ( ~ (v1 = e22) | v11 = e21) & ( ~ (v0 =
% 55.85/8.49 | e22) | v10 = e20)) | (v1 = e21 & ( ~ (v5 = e21) | v9 = e23)
% 55.85/8.49 | & ( ~ (v3 = e21) | v8 = e22) & ( ~ (v0 = e21) | v7 = e20)) | (v0
% 55.85/8.49 | = e20 & ( ~ (v5 = e20) | v6 = e23) & ( ~ (v3 = e20) | v4 = e22)
% 55.85/8.49 | & ( ~ (v1 = e20) | v2 = e21))))
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (ax12) implies:
% 55.85/8.49 | (15) op1(e12, e10) = e11
% 55.85/8.49 | (16) op1(e12, e12) = e13
% 55.85/8.49 | (17) op1(e12, e13) = e10
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (ax13) implies:
% 55.85/8.49 | (18) op2(e22, e20) = e21
% 55.85/8.49 | (19) op2(e22, e22) = e23
% 55.85/8.49 | (20) op2(e22, e23) = e20
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (ax14) implies:
% 55.85/8.49 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v1 & h1(e12) =
% 55.85/8.49 | e20 & h1(e11) = v2 & h1(e10) = v0 & op2(e20, v1) = v0 & op2(e20, v0)
% 55.85/8.49 | = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (ax15) implies:
% 55.85/8.49 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v1 & h2(e12) =
% 55.85/8.49 | e21 & h2(e11) = v2 & h2(e10) = v0 & op2(e21, v1) = v0 & op2(e21, v0)
% 55.85/8.49 | = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (ax16) implies:
% 55.85/8.49 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v1 & h3(e12) =
% 55.85/8.49 | e22 & h3(e11) = v2 & h3(e10) = v0 & op2(e22, v1) = v0 & op2(e22, v0)
% 55.85/8.49 | = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (ax17) implies:
% 55.85/8.49 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v1 & h4(e12) =
% 55.85/8.49 | e23 & h4(e11) = v2 & h4(e10) = v0 & op2(e23, v1) = v0 & op2(e23, v0)
% 55.85/8.49 | = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 55.85/8.49 |
% 55.85/8.49 | ALPHA: (co1) implies:
% 56.05/8.51 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.05/8.51 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 56.05/8.51 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 56.05/8.51 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 56.05/8.51 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 56.05/8.51 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 56.05/8.51 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 56.05/8.51 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 56.05/8.51 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 56.05/8.51 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 56.05/8.51 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 56.05/8.51 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 56.05/8.51 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 56.05/8.51 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 56.05/8.51 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 56.05/8.51 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 56.05/8.51 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 56.05/8.51 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 56.05/8.51 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 56.05/8.51 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 56.05/8.51 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 56.05/8.51 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 56.05/8.51 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 56.05/8.51 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 56.05/8.51 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 56.05/8.51 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 56.05/8.51 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 56.05/8.51 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 56.05/8.51 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 56.05/8.51 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 56.05/8.51 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 56.05/8.51 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 56.05/8.51 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 56.05/8.51 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 56.05/8.51 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 56.05/8.51 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 56.05/8.51 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 56.05/8.51 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 56.05/8.51 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 56.05/8.51 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 56.05/8.51 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 56.05/8.51 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 56.05/8.51 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 56.05/8.51 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 56.05/8.51 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 56.05/8.51 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 56.05/8.51 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 56.05/8.51 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 56.05/8.51 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 56.05/8.51 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 56.05/8.51 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 56.05/8.51 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 56.05/8.51 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 56.05/8.51 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 56.05/8.51 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 56.05/8.51 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 56.05/8.51 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 56.05/8.51 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 56.05/8.51 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 56.05/8.51 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 56.05/8.51 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 56.05/8.51 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 56.05/8.51 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 56.05/8.51 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 56.05/8.51 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 56.05/8.51 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 56.05/8.51 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 56.05/8.51 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 56.05/8.51 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 56.05/8.51 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 56.05/8.51 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 56.05/8.51 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 56.05/8.51 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 56.05/8.51 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 56.05/8.51 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 56.05/8.51 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 56.05/8.51 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 56.05/8.51 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 56.05/8.51 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 56.05/8.51 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 56.05/8.51 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 56.05/8.51 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 56.05/8.51 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 56.05/8.51 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 56.05/8.51 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 56.05/8.51 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 56.05/8.51 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 56.05/8.51 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 56.05/8.51 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 56.05/8.51 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 56.05/8.51 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 56.05/8.51 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 56.05/8.51 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 56.05/8.51 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 56.05/8.51 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 56.05/8.51 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 56.05/8.51 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 56.05/8.51 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 56.05/8.51 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 56.05/8.51 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 56.05/8.51 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 56.05/8.51 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 56.05/8.51 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 56.05/8.51 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 56.05/8.51 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 56.05/8.51 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 56.05/8.51 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 56.05/8.51 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 56.05/8.51 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 56.05/8.51 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 56.05/8.51 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 56.05/8.51 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 56.05/8.51 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 56.05/8.51 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 56.05/8.51 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 56.05/8.51 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 56.05/8.51 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 56.05/8.51 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 56.05/8.51 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 56.05/8.51 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 56.05/8.51 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 56.05/8.51 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 56.05/8.51 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 56.05/8.51 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 56.05/8.51 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 56.05/8.51 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 56.05/8.51 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 56.05/8.51 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 56.05/8.51 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 56.05/8.51 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 56.05/8.51 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 56.05/8.51 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 56.05/8.51 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 56.05/8.51 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 56.05/8.51 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 56.05/8.51 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 56.05/8.51 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 56.05/8.51 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 56.05/8.51 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 56.05/8.51 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 56.05/8.51 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 56.05/8.51 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 56.05/8.51 | (v2 = e20))))
% 56.05/8.51 |
% 56.05/8.51 | ALPHA: (function-axioms) implies:
% 56.05/8.51 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 56.05/8.51 | | ~ (h1(v2) = v0))
% 56.05/8.51 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 56.05/8.51 | | ~ (h2(v2) = v0))
% 56.05/8.51 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 56.05/8.51 | | ~ (h3(v2) = v0))
% 56.05/8.51 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 56.05/8.51 | | ~ (h4(v2) = v0))
% 56.05/8.51 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 56.05/8.51 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 56.05/8.51 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 56.05/8.51 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 56.05/8.51 |
% 56.05/8.51 | DELTA: instantiating (22) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 56.05/8.51 | (32) h2(e13) = all_4_1 & h2(e12) = e21 & h2(e11) = all_4_0 & h2(e10) =
% 56.05/8.51 | all_4_2 & op2(e21, all_4_1) = all_4_2 & op2(e21, all_4_2) = all_4_0 &
% 56.05/8.51 | op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 56.05/8.51 |
% 56.05/8.51 | ALPHA: (32) implies:
% 56.05/8.51 | (33) op2(e21, e21) = all_4_1
% 56.05/8.51 | (34) h2(e12) = e21
% 56.05/8.51 | (35) h2(e13) = all_4_1
% 56.05/8.51 |
% 56.05/8.51 | DELTA: instantiating (23) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 56.05/8.52 | (36) h3(e13) = all_6_1 & h3(e12) = e22 & h3(e11) = all_6_0 & h3(e10) =
% 56.05/8.52 | all_6_2 & op2(e22, all_6_1) = all_6_2 & op2(e22, all_6_2) = all_6_0 &
% 56.05/8.52 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 56.05/8.52 |
% 56.05/8.52 | ALPHA: (36) implies:
% 56.05/8.52 | (37) op2(e22, e22) = all_6_1
% 56.05/8.52 | (38) op2(e22, all_6_2) = all_6_0
% 56.05/8.52 | (39) op2(e22, all_6_1) = all_6_2
% 56.05/8.52 | (40) h3(e10) = all_6_2
% 56.05/8.52 | (41) h3(e11) = all_6_0
% 56.05/8.52 | (42) h3(e12) = e22
% 56.05/8.52 | (43) h3(e13) = all_6_1
% 56.05/8.52 |
% 56.05/8.52 | DELTA: instantiating (24) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 56.05/8.52 | (44) h4(e13) = all_8_1 & h4(e12) = e23 & h4(e11) = all_8_0 & h4(e10) =
% 56.05/8.52 | all_8_2 & op2(e23, all_8_1) = all_8_2 & op2(e23, all_8_2) = all_8_0 &
% 56.05/8.52 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 56.05/8.52 |
% 56.05/8.52 | ALPHA: (44) implies:
% 56.05/8.52 | (45) op2(e23, e23) = all_8_1
% 56.05/8.52 | (46) op2(e23, all_8_2) = all_8_0
% 56.05/8.52 | (47) op2(e23, all_8_1) = all_8_2
% 56.05/8.52 | (48) h4(e10) = all_8_2
% 56.05/8.52 | (49) h4(e11) = all_8_0
% 56.05/8.52 | (50) h4(e12) = e23
% 56.05/8.52 | (51) h4(e13) = all_8_1
% 56.05/8.52 |
% 56.05/8.52 | DELTA: instantiating (21) with fresh symbols all_10_0, all_10_1, all_10_2
% 56.05/8.52 | gives:
% 56.05/8.52 | (52) h1(e13) = all_10_1 & h1(e12) = e20 & h1(e11) = all_10_0 & h1(e10) =
% 56.05/8.52 | all_10_2 & op2(e20, all_10_1) = all_10_2 & op2(e20, all_10_2) =
% 56.05/8.52 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 56.05/8.52 | $i(all_10_2)
% 56.05/8.52 |
% 56.05/8.52 | ALPHA: (52) implies:
% 56.05/8.52 | (53) op2(e20, e20) = all_10_1
% 56.05/8.52 | (54) op2(e20, all_10_2) = all_10_0
% 56.05/8.52 | (55) op2(e20, all_10_1) = all_10_2
% 56.05/8.52 | (56) h1(e10) = all_10_2
% 56.05/8.52 | (57) h1(e12) = e20
% 56.05/8.52 | (58) h1(e13) = all_10_1
% 56.05/8.52 |
% 56.05/8.52 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 56.05/8.52 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 56.05/8.52 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 56.05/8.52 | (59) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 56.05/8.52 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 56.05/8.52 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 56.05/8.52 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 56.05/8.52 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 56.05/8.52 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 56.05/8.52 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 56.05/8.52 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 56.05/8.52 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 56.05/8.52 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 56.05/8.52 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 56.05/8.52 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 56.05/8.52 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 56.05/8.52 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 56.05/8.52 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 56.05/8.52 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 56.05/8.52 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 56.05/8.52 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 56.05/8.52 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 56.05/8.52 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 56.05/8.52 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 56.05/8.52 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 56.05/8.52 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 56.05/8.52 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 56.05/8.52 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 56.05/8.52 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 56.05/8.52 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 56.05/8.52 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 56.05/8.52 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 56.05/8.52 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 56.05/8.52 |
% 56.05/8.52 | ALPHA: (59) implies:
% 56.05/8.52 | (60) ~ (all_12_14 = all_12_15)
% 56.05/8.52 | (61) ~ (all_12_13 = all_12_15)
% 56.05/8.52 | (62) ~ (all_12_13 = all_12_14)
% 56.05/8.52 | (63) ~ (all_12_12 = all_12_15)
% 56.05/8.52 | (64) ~ (all_12_12 = all_12_14)
% 56.05/8.52 | (65) ~ (all_12_12 = all_12_13)
% 56.05/8.52 | (66) ~ (all_12_11 = all_12_15)
% 56.05/8.52 | (67) ~ (all_12_10 = all_12_14)
% 56.05/8.52 | (68) ~ (all_12_10 = all_12_11)
% 56.05/8.52 | (69) ~ (all_12_9 = all_12_13)
% 56.05/8.52 | (70) ~ (all_12_9 = all_12_11)
% 56.05/8.52 | (71) ~ (all_12_9 = all_12_10)
% 56.05/8.52 | (72) ~ (all_12_8 = all_12_12)
% 56.05/8.52 | (73) ~ (all_12_8 = all_12_11)
% 56.05/8.52 | (74) ~ (all_12_8 = all_12_10)
% 56.05/8.52 | (75) ~ (all_12_8 = all_12_9)
% 56.05/8.52 | (76) ~ (all_12_7 = all_12_15)
% 56.05/8.52 | (77) ~ (all_12_7 = all_12_11)
% 56.05/8.52 | (78) ~ (all_12_6 = all_12_14)
% 56.05/8.52 | (79) ~ (all_12_6 = all_12_10)
% 56.05/8.52 | (80) ~ (all_12_6 = all_12_7)
% 56.05/8.52 | (81) ~ (all_12_5 = all_12_9)
% 56.05/8.52 | (82) ~ (all_12_5 = all_12_7)
% 56.05/8.52 | (83) ~ (all_12_5 = all_12_6)
% 56.05/8.52 | (84) ~ (all_12_4 = all_12_12)
% 56.05/8.52 | (85) ~ (all_12_4 = all_12_8)
% 56.05/8.52 | (86) ~ (all_12_4 = all_12_7)
% 56.05/8.52 | (87) ~ (all_12_4 = all_12_6)
% 56.05/8.52 | (88) ~ (all_12_4 = all_12_5)
% 56.05/8.53 | (89) ~ (all_12_3 = all_12_15)
% 56.05/8.53 | (90) ~ (all_12_3 = all_12_11)
% 56.05/8.53 | (91) ~ (all_12_3 = all_12_7)
% 56.05/8.53 | (92) ~ (all_12_2 = all_12_14)
% 56.05/8.53 | (93) ~ (all_12_2 = all_12_10)
% 56.05/8.53 | (94) ~ (all_12_2 = all_12_6)
% 56.05/8.53 | (95) ~ (all_12_2 = all_12_3)
% 56.05/8.53 | (96) ~ (all_12_1 = all_12_9)
% 56.05/8.53 | (97) ~ (all_12_1 = all_12_5)
% 56.05/8.53 | (98) ~ (all_12_1 = all_12_3)
% 56.05/8.53 | (99) ~ (all_12_1 = all_12_2)
% 56.05/8.53 | (100) ~ (all_12_0 = all_12_12)
% 56.05/8.53 | (101) ~ (all_12_0 = all_12_8)
% 56.05/8.53 | (102) ~ (all_12_0 = all_12_4)
% 56.05/8.53 | (103) ~ (all_12_0 = all_12_3)
% 56.05/8.53 | (104) ~ (all_12_0 = all_12_2)
% 56.05/8.53 | (105) ~ (all_12_0 = all_12_1)
% 56.05/8.53 | (106) op1(e10, e10) = all_12_15
% 56.05/8.53 | (107) op1(e10, e11) = all_12_11
% 56.05/8.53 | (108) op1(e10, e12) = all_12_7
% 56.05/8.53 | (109) op1(e10, e13) = all_12_3
% 56.05/8.53 | (110) op1(e11, e10) = all_12_14
% 56.05/8.53 | (111) op1(e11, e11) = all_12_10
% 56.05/8.53 | (112) op1(e11, e12) = all_12_6
% 56.05/8.53 | (113) op1(e11, e13) = all_12_2
% 56.05/8.53 | (114) op1(e12, e10) = all_12_13
% 56.05/8.53 | (115) op1(e12, e11) = all_12_9
% 56.05/8.53 | (116) op1(e12, e12) = all_12_5
% 56.05/8.53 | (117) op1(e12, e13) = all_12_1
% 56.05/8.53 | (118) op1(e13, e10) = all_12_12
% 56.05/8.53 | (119) op1(e13, e11) = all_12_8
% 56.05/8.53 | (120) op1(e13, e12) = all_12_4
% 56.05/8.53 | (121) op1(e13, e13) = all_12_0
% 56.05/8.53 |
% 56.05/8.53 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 56.05/8.53 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 56.05/8.53 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 56.05/8.53 | (122) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 56.05/8.53 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 56.05/8.53 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 56.05/8.53 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 56.05/8.53 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 56.05/8.53 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 56.05/8.53 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 56.05/8.53 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 56.05/8.53 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 56.05/8.53 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 56.05/8.53 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 56.05/8.53 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 56.05/8.53 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 56.05/8.53 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 56.05/8.53 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 56.05/8.53 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 56.05/8.53 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 56.05/8.53 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 56.05/8.53 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 56.05/8.53 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 56.05/8.53 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 56.05/8.53 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 56.05/8.53 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 56.05/8.53 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 56.05/8.53 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 56.05/8.53 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 56.05/8.53 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 56.05/8.53 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 56.05/8.53 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 56.05/8.53 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 56.05/8.53 | $i(all_14_14) & $i(all_14_15)
% 56.05/8.53 |
% 56.05/8.53 | ALPHA: (122) implies:
% 56.05/8.53 | (123) ~ (all_14_14 = all_14_15)
% 56.05/8.53 | (124) ~ (all_14_13 = all_14_15)
% 56.05/8.53 | (125) ~ (all_14_13 = all_14_14)
% 56.05/8.53 | (126) ~ (all_14_12 = all_14_15)
% 56.05/8.53 | (127) ~ (all_14_12 = all_14_14)
% 56.05/8.53 | (128) ~ (all_14_12 = all_14_13)
% 56.05/8.53 | (129) ~ (all_14_11 = all_14_15)
% 56.05/8.53 | (130) ~ (all_14_10 = all_14_14)
% 56.05/8.53 | (131) ~ (all_14_10 = all_14_11)
% 56.05/8.53 | (132) ~ (all_14_9 = all_14_13)
% 56.05/8.53 | (133) ~ (all_14_9 = all_14_11)
% 56.05/8.53 | (134) ~ (all_14_9 = all_14_10)
% 56.05/8.53 | (135) ~ (all_14_8 = all_14_12)
% 56.05/8.53 | (136) ~ (all_14_8 = all_14_11)
% 56.05/8.53 | (137) ~ (all_14_8 = all_14_10)
% 56.05/8.53 | (138) ~ (all_14_8 = all_14_9)
% 56.05/8.53 | (139) ~ (all_14_7 = all_14_15)
% 56.05/8.53 | (140) ~ (all_14_7 = all_14_11)
% 56.05/8.53 | (141) ~ (all_14_6 = all_14_14)
% 56.05/8.53 | (142) ~ (all_14_6 = all_14_10)
% 56.05/8.53 | (143) ~ (all_14_6 = all_14_7)
% 56.05/8.53 | (144) ~ (all_14_5 = all_14_13)
% 56.05/8.53 | (145) ~ (all_14_5 = all_14_9)
% 56.05/8.53 | (146) ~ (all_14_5 = all_14_7)
% 56.05/8.53 | (147) ~ (all_14_5 = all_14_6)
% 56.05/8.53 | (148) ~ (all_14_4 = all_14_12)
% 56.05/8.53 | (149) ~ (all_14_4 = all_14_8)
% 56.05/8.53 | (150) ~ (all_14_4 = all_14_7)
% 56.05/8.53 | (151) ~ (all_14_4 = all_14_6)
% 56.05/8.53 | (152) ~ (all_14_4 = all_14_5)
% 56.05/8.53 | (153) ~ (all_14_3 = all_14_15)
% 56.05/8.53 | (154) ~ (all_14_3 = all_14_11)
% 56.05/8.53 | (155) ~ (all_14_3 = all_14_7)
% 56.05/8.53 | (156) ~ (all_14_2 = all_14_14)
% 56.05/8.53 | (157) ~ (all_14_2 = all_14_10)
% 56.05/8.53 | (158) ~ (all_14_2 = all_14_6)
% 56.05/8.53 | (159) ~ (all_14_2 = all_14_3)
% 56.05/8.53 | (160) ~ (all_14_1 = all_14_13)
% 56.05/8.53 | (161) ~ (all_14_1 = all_14_9)
% 56.05/8.53 | (162) ~ (all_14_1 = all_14_5)
% 56.05/8.53 | (163) ~ (all_14_1 = all_14_3)
% 56.05/8.53 | (164) ~ (all_14_1 = all_14_2)
% 56.05/8.53 | (165) ~ (all_14_0 = all_14_12)
% 56.05/8.53 | (166) ~ (all_14_0 = all_14_8)
% 56.05/8.54 | (167) ~ (all_14_0 = all_14_4)
% 56.05/8.54 | (168) ~ (all_14_0 = all_14_3)
% 56.05/8.54 | (169) ~ (all_14_0 = all_14_2)
% 56.05/8.54 | (170) ~ (all_14_0 = all_14_1)
% 56.05/8.54 | (171) op2(e20, e20) = all_14_15
% 56.05/8.54 | (172) op2(e20, e21) = all_14_11
% 56.05/8.54 | (173) op2(e20, e22) = all_14_7
% 56.05/8.54 | (174) op2(e20, e23) = all_14_3
% 56.05/8.54 | (175) op2(e21, e20) = all_14_14
% 56.05/8.54 | (176) op2(e21, e21) = all_14_10
% 56.05/8.54 | (177) op2(e21, e22) = all_14_6
% 56.05/8.54 | (178) op2(e21, e23) = all_14_2
% 56.05/8.54 | (179) op2(e22, e20) = all_14_13
% 56.05/8.54 | (180) op2(e22, e21) = all_14_9
% 56.05/8.54 | (181) op2(e22, e22) = all_14_5
% 56.05/8.54 | (182) op2(e22, e23) = all_14_1
% 56.05/8.54 | (183) op2(e23, e20) = all_14_12
% 56.05/8.54 | (184) op2(e23, e21) = all_14_8
% 56.05/8.54 | (185) op2(e23, e22) = all_14_4
% 56.05/8.54 | (186) op2(e23, e23) = all_14_0
% 56.05/8.54 |
% 56.05/8.54 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2,
% 56.05/8.54 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 56.05/8.54 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 56.05/8.54 | (187) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) =
% 56.05/8.54 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 &
% 56.05/8.54 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) =
% 56.05/8.54 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 &
% 56.05/8.54 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13)
% 56.05/8.54 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 &
% 56.05/8.54 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) &
% 56.05/8.54 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) &
% 56.05/8.54 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) &
% 56.05/8.54 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) &
% 56.05/8.54 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 |
% 56.05/8.54 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12
% 56.05/8.54 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 =
% 56.05/8.54 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3
% 56.05/8.54 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 |
% 56.05/8.54 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13
% 56.05/8.54 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 =
% 56.05/8.54 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7
% 56.05/8.54 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) &
% 56.05/8.54 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) &
% 56.05/8.54 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) &
% 56.05/8.54 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 56.05/8.54 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 |
% 56.05/8.54 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 =
% 56.05/8.54 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 |
% 56.05/8.54 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 =
% 56.05/8.54 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 |
% 56.05/8.54 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10)
% 56.05/8.54 |
% 56.05/8.54 | ALPHA: (187) implies:
% 56.05/8.54 | (188) op1(e10, e10) = all_16_15
% 56.05/8.54 | (189) op1(e10, e11) = all_16_14
% 56.05/8.54 | (190) op1(e10, e12) = all_16_13
% 56.05/8.54 | (191) op1(e10, e13) = all_16_12
% 56.05/8.54 | (192) op1(e11, e10) = all_16_11
% 56.05/8.54 | (193) op1(e11, e11) = all_16_10
% 56.05/8.54 | (194) op1(e11, e12) = all_16_9
% 56.05/8.54 | (195) op1(e11, e13) = all_16_8
% 56.05/8.54 | (196) op1(e12, e10) = all_16_7
% 56.05/8.54 | (197) op1(e12, e11) = all_16_6
% 56.05/8.54 | (198) op1(e12, e12) = all_16_5
% 56.05/8.54 | (199) op1(e12, e13) = all_16_4
% 56.05/8.54 | (200) op1(e13, e10) = all_16_3
% 56.05/8.54 | (201) op1(e13, e11) = all_16_2
% 56.05/8.54 | (202) op1(e13, e12) = all_16_1
% 56.05/8.54 | (203) op1(e13, e13) = all_16_0
% 56.05/8.54 | (204) all_16_15 = e13 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10
% 56.05/8.54 | (205) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 56.05/8.54 | (206) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 56.05/8.54 | (207) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 56.05/8.54 | (208) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 56.05/8.54 | (209) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10
% 56.05/8.54 | (210) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 56.05/8.54 | (211) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 56.05/8.54 | (212) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 56.05/8.54 | (213) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 56.05/8.54 | (214) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 56.05/8.54 | (215) all_16_0 = e13 | all_16_0 = e12 | all_16_0 = e11 | all_16_0 = e10
% 56.05/8.54 |
% 56.05/8.54 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 56.05/8.54 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 56.05/8.54 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 56.24/8.55 | (216) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) =
% 56.24/8.55 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 &
% 56.24/8.55 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) =
% 56.24/8.55 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 &
% 56.24/8.55 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23)
% 56.24/8.55 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 &
% 56.24/8.55 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 56.24/8.55 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 56.24/8.55 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 56.24/8.55 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 56.24/8.55 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 |
% 56.24/8.55 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22
% 56.24/8.55 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 =
% 56.24/8.55 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3
% 56.24/8.55 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 |
% 56.24/8.55 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23
% 56.24/8.55 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 =
% 56.24/8.55 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7
% 56.24/8.55 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) &
% 56.24/8.55 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) &
% 56.24/8.55 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) &
% 56.24/8.55 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 56.24/8.55 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 |
% 56.24/8.55 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 =
% 56.24/8.55 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 |
% 56.24/8.55 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 =
% 56.24/8.55 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 |
% 56.24/8.55 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20)
% 56.24/8.55 |
% 56.24/8.55 | ALPHA: (216) implies:
% 56.24/8.55 | (217) op2(e20, e20) = all_18_15
% 56.24/8.55 | (218) op2(e20, e21) = all_18_14
% 56.24/8.55 | (219) op2(e20, e22) = all_18_13
% 56.24/8.55 | (220) op2(e20, e23) = all_18_12
% 56.24/8.55 | (221) op2(e21, e20) = all_18_11
% 56.24/8.55 | (222) op2(e21, e21) = all_18_10
% 56.24/8.55 | (223) op2(e21, e22) = all_18_9
% 56.24/8.55 | (224) op2(e21, e23) = all_18_8
% 56.24/8.55 | (225) op2(e22, e20) = all_18_7
% 56.24/8.55 | (226) op2(e22, e21) = all_18_6
% 56.24/8.55 | (227) op2(e22, e22) = all_18_5
% 56.24/8.55 | (228) op2(e22, e23) = all_18_4
% 56.24/8.55 | (229) op2(e23, e20) = all_18_3
% 56.24/8.55 | (230) op2(e23, e21) = all_18_2
% 56.24/8.55 | (231) op2(e23, e22) = all_18_1
% 56.24/8.55 | (232) op2(e23, e23) = all_18_0
% 56.24/8.55 | (233) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 56.24/8.55 | (234) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 56.24/8.55 | (235) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 56.24/8.55 | (236) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 56.24/8.55 | (237) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 56.24/8.55 | (238) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 56.24/8.55 | (239) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 56.24/8.55 | (240) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 56.24/8.55 | (241) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 56.24/8.55 | (242) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 56.24/8.55 | (243) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 | all_18_0 = e20
% 56.24/8.55 |
% 56.24/8.55 | DELTA: instantiating (13) with fresh symbols all_20_0, all_20_1, all_20_2,
% 56.24/8.55 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 56.24/8.55 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 56.24/8.55 | (244) op1(e13, e13) = all_20_10 & op1(e13, e12) = all_20_3 & op1(e13, e11)
% 56.24/8.55 | = all_20_6 & op1(e13, e10) = all_20_9 & op1(e12, e13) = all_20_0 &
% 56.24/8.55 | op1(e12, e12) = all_20_12 & op1(e12, e11) = all_20_7 & op1(e12, e10)
% 56.24/8.55 | = all_20_11 & op1(e11, e13) = all_20_1 & op1(e11, e12) = all_20_4 &
% 56.24/8.55 | op1(e11, e11) = all_20_14 & op1(e11, e10) = all_20_13 & op1(e10, e13)
% 56.24/8.55 | = all_20_2 & op1(e10, e12) = all_20_5 & op1(e10, e11) = all_20_8 &
% 56.24/8.55 | op1(e10, e10) = all_20_15 & $i(all_20_0) & $i(all_20_1) &
% 56.24/8.55 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 56.24/8.55 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 56.24/8.55 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 56.24/8.55 | $i(all_20_14) & $i(all_20_15) & ((all_20_0 = e12 & ~ (all_20_10 =
% 56.24/8.55 | e13) & ~ (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.55 | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~ (all_20_15 =
% 56.24/8.55 | e13))) | (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 56.24/8.55 | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~ (all_20_12 = e13))
% 56.24/8.55 | & ( ~ (all_20_2 = e10) | ~ (all_20_15 = e13))) | (all_20_2 = e10
% 56.24/8.55 | & ~ (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~ (all_20_0 =
% 56.24/8.55 | e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.55 | (all_20_14 = e13))) | (all_20_3 = e13 & ~ (all_20_10 = e12) &
% 56.24/8.55 | ~ (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~ (all_20_14 =
% 56.24/8.55 | e12)) & ( ~ (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 56.24/8.55 | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 56.24/8.55 | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~ (all_20_5 = e10)
% 56.24/8.55 | | ~ (all_20_15 = e12))) | (all_20_5 = e10 & ~ (all_20_12 =
% 56.24/8.55 | e12) & ~ (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.55 | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~ (all_20_14 =
% 56.24/8.55 | e12))) | (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 56.24/8.55 | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~ (all_20_12 = e11))
% 56.24/8.55 | & ( ~ (all_20_8 = e10) | ~ (all_20_15 = e11))) | (all_20_7 = e12
% 56.24/8.55 | & ~ (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~ (all_20_6 =
% 56.24/8.55 | e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.55 | (all_20_15 = e11))) | (all_20_8 = e10 & ~ (all_20_14 = e11) &
% 56.24/8.55 | ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~ (all_20_10 =
% 56.24/8.55 | e11)) & ( ~ (all_20_7 = e12) | ~ (all_20_12 = e11))) |
% 56.24/8.55 | (all_20_9 = e13 & ~ (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.55 | (all_20_11 = e12) | ~ (all_20_12 = e10)) & ( ~ (all_20_13 =
% 56.24/8.55 | e11) | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 56.24/8.55 | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~ (all_20_9 = e13) |
% 56.24/8.55 | ~ (all_20_10 = e10)) & ( ~ (all_20_13 = e11) | ~ (all_20_14 =
% 56.24/8.55 | e10))) | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 56.24/8.55 | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~ (all_20_10 = e10))
% 56.24/8.55 | & ( ~ (all_20_11 = e12) | ~ (all_20_12 = e10)))) & ((all_20_10 =
% 56.24/8.55 | e13 & ( ~ (all_20_12 = e13) | all_20_0 = e12) & ( ~ (all_20_14 =
% 56.24/8.55 | e13) | all_20_1 = e11) & ( ~ (all_20_15 = e13) | all_20_2 =
% 56.24/8.55 | e10)) | (all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 =
% 56.24/8.55 | e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( ~ (all_20_15
% 56.24/8.55 | = e12) | all_20_5 = e10)) | (all_20_14 = e11 & ( ~ (all_20_10
% 56.24/8.55 | = e11) | all_20_6 = e13) & ( ~ (all_20_12 = e11) | all_20_7 =
% 56.24/8.55 | e12) & ( ~ (all_20_15 = e11) | all_20_8 = e10)) | (all_20_15 =
% 56.24/8.55 | e10 & ( ~ (all_20_10 = e10) | all_20_9 = e13) & ( ~ (all_20_12 =
% 56.24/8.55 | e10) | all_20_11 = e12) & ( ~ (all_20_14 = e10) | all_20_13 =
% 56.24/8.55 | e11)))
% 56.24/8.55 |
% 56.24/8.55 | ALPHA: (244) implies:
% 56.24/8.55 | (245) op1(e10, e10) = all_20_15
% 56.24/8.56 | (246) op1(e10, e11) = all_20_8
% 56.24/8.56 | (247) op1(e10, e12) = all_20_5
% 56.24/8.56 | (248) op1(e10, e13) = all_20_2
% 56.24/8.56 | (249) op1(e11, e10) = all_20_13
% 56.24/8.56 | (250) op1(e11, e11) = all_20_14
% 56.24/8.56 | (251) op1(e11, e12) = all_20_4
% 56.24/8.56 | (252) op1(e11, e13) = all_20_1
% 56.24/8.56 | (253) op1(e12, e10) = all_20_11
% 56.24/8.56 | (254) op1(e12, e11) = all_20_7
% 56.24/8.56 | (255) op1(e12, e12) = all_20_12
% 56.24/8.56 | (256) op1(e12, e13) = all_20_0
% 56.24/8.56 | (257) op1(e13, e10) = all_20_9
% 56.24/8.56 | (258) op1(e13, e11) = all_20_6
% 56.24/8.56 | (259) op1(e13, e12) = all_20_3
% 56.24/8.56 | (260) op1(e13, e13) = all_20_10
% 56.24/8.56 | (261) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = e12) & ( ~
% 56.24/8.56 | (all_20_14 = e13) | all_20_1 = e11) & ( ~ (all_20_15 = e13) |
% 56.24/8.56 | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ (all_20_10 = e12) |
% 56.24/8.56 | all_20_3 = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( ~
% 56.24/8.56 | (all_20_15 = e12) | all_20_5 = e10)) | (all_20_14 = e11 & ( ~
% 56.24/8.56 | (all_20_10 = e11) | all_20_6 = e13) & ( ~ (all_20_12 = e11) |
% 56.24/8.56 | all_20_7 = e12) & ( ~ (all_20_15 = e11) | all_20_8 = e10)) |
% 56.24/8.56 | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 = e13) & ( ~
% 56.24/8.56 | (all_20_12 = e10) | all_20_11 = e12) & ( ~ (all_20_14 = e10) |
% 56.24/8.56 | all_20_13 = e11))
% 56.24/8.56 | (262) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~ (all_20_12 = e13) & ( ~
% 56.24/8.56 | (all_20_1 = e11) | ~ (all_20_14 = e13)) & ( ~ (all_20_2 = e10) |
% 56.24/8.56 | ~ (all_20_15 = e13))) | (all_20_1 = e11 & ~ (all_20_10 = e13) &
% 56.24/8.56 | ~ (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~ (all_20_12 = e13))
% 56.24/8.56 | & ( ~ (all_20_2 = e10) | ~ (all_20_15 = e13))) | (all_20_2 = e10 &
% 56.24/8.56 | ~ (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~ (all_20_0 = e12)
% 56.24/8.56 | | ~ (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~ (all_20_14 =
% 56.24/8.56 | e13))) | (all_20_3 = e13 & ~ (all_20_10 = e12) & ~ (all_20_12
% 56.24/8.56 | = e12) & ( ~ (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 56.24/8.56 | (all_20_5 = e10) | ~ (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 56.24/8.56 | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~ (all_20_3 = e13) |
% 56.24/8.56 | ~ (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~ (all_20_15 =
% 56.24/8.56 | e12))) | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~ (all_20_15
% 56.24/8.56 | = e12) & ( ~ (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 56.24/8.56 | (all_20_4 = e11) | ~ (all_20_14 = e12))) | (all_20_6 = e13 & ~
% 56.24/8.56 | (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~ (all_20_7 = e12) |
% 56.24/8.56 | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~ (all_20_15 =
% 56.24/8.56 | e11))) | (all_20_7 = e12 & ~ (all_20_12 = e11) & ~ (all_20_14
% 56.24/8.56 | = e11) & ( ~ (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 56.24/8.56 | (all_20_8 = e10) | ~ (all_20_15 = e11))) | (all_20_8 = e10 & ~
% 56.24/8.56 | (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) |
% 56.24/8.56 | ~ (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~ (all_20_12 =
% 56.24/8.56 | e11))) | (all_20_9 = e13 & ~ (all_20_10 = e10) & ~ (all_20_15
% 56.24/8.56 | = e10) & ( ~ (all_20_11 = e12) | ~ (all_20_12 = e10)) & ( ~
% 56.24/8.56 | (all_20_13 = e11) | ~ (all_20_14 = e10))) | (all_20_11 = e12 &
% 56.24/8.56 | ~ (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~ (all_20_9 = e13) |
% 56.24/8.56 | ~ (all_20_10 = e10)) & ( ~ (all_20_13 = e11) | ~ (all_20_14 =
% 56.24/8.56 | e10))) | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 56.24/8.56 | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~ (all_20_10 = e10)) &
% 56.24/8.56 | ( ~ (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 56.24/8.56 |
% 56.24/8.56 | DELTA: instantiating (14) with fresh symbols all_22_0, all_22_1, all_22_2,
% 56.24/8.56 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 56.24/8.56 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 56.24/8.56 | (263) op2(e23, e23) = all_22_10 & op2(e23, e22) = all_22_3 & op2(e23, e21)
% 56.24/8.56 | = all_22_6 & op2(e23, e20) = all_22_9 & op2(e22, e23) = all_22_0 &
% 56.24/8.56 | op2(e22, e22) = all_22_12 & op2(e22, e21) = all_22_7 & op2(e22, e20)
% 56.24/8.56 | = all_22_11 & op2(e21, e23) = all_22_1 & op2(e21, e22) = all_22_4 &
% 56.24/8.56 | op2(e21, e21) = all_22_14 & op2(e21, e20) = all_22_13 & op2(e20, e23)
% 56.24/8.56 | = all_22_2 & op2(e20, e22) = all_22_5 & op2(e20, e21) = all_22_8 &
% 56.24/8.56 | op2(e20, e20) = all_22_15 & $i(all_22_0) & $i(all_22_1) &
% 56.24/8.56 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 56.24/8.56 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 56.24/8.56 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 56.24/8.56 | $i(all_22_14) & $i(all_22_15) & ((all_22_0 = e22 & ~ (all_22_10 =
% 56.24/8.56 | e23) & ~ (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.56 | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~ (all_22_15 =
% 56.24/8.56 | e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 56.24/8.56 | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23))
% 56.24/8.56 | & ( ~ (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20
% 56.24/8.56 | & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 =
% 56.24/8.56 | e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.56 | (all_22_14 = e23))) | (all_22_3 = e23 & ~ (all_22_10 = e22) &
% 56.24/8.56 | ~ (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~ (all_22_14 =
% 56.24/8.56 | e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 56.24/8.56 | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 56.24/8.56 | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 = e20)
% 56.24/8.56 | | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~ (all_22_12 =
% 56.24/8.56 | e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.56 | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 =
% 56.24/8.56 | e22))) | (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 56.24/8.56 | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))
% 56.24/8.56 | & ( ~ (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_7 = e22
% 56.24/8.56 | & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~ (all_22_6 =
% 56.24/8.56 | e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.56 | (all_22_15 = e21))) | (all_22_8 = e20 & ~ (all_22_14 = e21) &
% 56.24/8.56 | ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 =
% 56.24/8.56 | e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 56.24/8.56 | (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.56 | (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 =
% 56.24/8.56 | e21) | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 56.24/8.56 | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) |
% 56.24/8.56 | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~ (all_22_14 =
% 56.24/8.56 | e20))) | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 56.24/8.56 | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20))
% 56.24/8.56 | & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))) & ((all_22_10 =
% 56.24/8.56 | e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~ (all_22_14 =
% 56.24/8.56 | e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) | all_22_2 =
% 56.24/8.56 | e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 =
% 56.24/8.56 | e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~ (all_22_15
% 56.24/8.56 | = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~ (all_22_10
% 56.24/8.56 | = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) | all_22_7 =
% 56.24/8.56 | e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) | (all_22_15 =
% 56.24/8.56 | e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~ (all_22_12 =
% 56.24/8.56 | e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) | all_22_13 =
% 56.24/8.56 | e21)))
% 56.24/8.56 |
% 56.24/8.56 | ALPHA: (263) implies:
% 56.24/8.56 | (264) op2(e20, e20) = all_22_15
% 56.24/8.56 | (265) op2(e20, e21) = all_22_8
% 56.24/8.56 | (266) op2(e20, e22) = all_22_5
% 56.24/8.56 | (267) op2(e20, e23) = all_22_2
% 56.24/8.56 | (268) op2(e21, e20) = all_22_13
% 56.24/8.56 | (269) op2(e21, e21) = all_22_14
% 56.24/8.56 | (270) op2(e21, e22) = all_22_4
% 56.24/8.56 | (271) op2(e21, e23) = all_22_1
% 56.24/8.56 | (272) op2(e22, e20) = all_22_11
% 56.24/8.56 | (273) op2(e22, e21) = all_22_7
% 56.24/8.57 | (274) op2(e22, e22) = all_22_12
% 56.24/8.57 | (275) op2(e22, e23) = all_22_0
% 56.24/8.57 | (276) op2(e23, e20) = all_22_9
% 56.24/8.57 | (277) op2(e23, e21) = all_22_6
% 56.24/8.57 | (278) op2(e23, e22) = all_22_3
% 56.24/8.57 | (279) op2(e23, e23) = all_22_10
% 56.24/8.57 | (280) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 56.24/8.57 | (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 56.24/8.57 | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 56.24/8.57 | all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 56.24/8.57 | (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 56.24/8.57 | (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 56.24/8.57 | all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 56.24/8.57 | (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 56.24/8.57 | (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 56.24/8.57 | all_22_13 = e21))
% 56.24/8.57 | (281) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 56.24/8.57 | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) |
% 56.24/8.57 | ~ (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) &
% 56.24/8.57 | ~ (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23))
% 56.24/8.57 | & ( ~ (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 &
% 56.24/8.57 | ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22)
% 56.24/8.57 | | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 =
% 56.24/8.57 | e23))) | (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12
% 56.24/8.57 | = e22) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 56.24/8.57 | (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 56.24/8.57 | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~ (all_22_3 = e23) |
% 56.24/8.57 | ~ (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15 =
% 56.24/8.57 | e22))) | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15
% 56.24/8.57 | = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 56.24/8.57 | (all_22_4 = e21) | ~ (all_22_14 = e22))) | (all_22_6 = e23 & ~
% 56.24/8.57 | (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~ (all_22_7 = e22) |
% 56.24/8.57 | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~ (all_22_15 =
% 56.24/8.57 | e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14
% 56.24/8.57 | = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 56.24/8.57 | (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 56.24/8.57 | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) |
% 56.24/8.57 | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 =
% 56.24/8.57 | e21))) | (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15
% 56.24/8.57 | = e20) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~
% 56.24/8.57 | (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_11 = e22 &
% 56.24/8.57 | ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) |
% 56.24/8.57 | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~ (all_22_14 =
% 56.24/8.57 | e20))) | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 56.24/8.57 | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 56.24/8.57 | ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 56.24/8.57 |
% 56.24/8.57 | DELTA: instantiating (2) with fresh symbols all_24_0, all_24_1, all_24_2,
% 56.24/8.57 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 56.24/8.57 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives:
% 56.24/8.57 | (282) op1(e13, e13) = all_24_0 & op1(e13, e12) = all_24_1 & op1(e13, e11) =
% 56.24/8.57 | all_24_4 & op1(e13, e10) = all_24_9 & op1(e12, e13) = all_24_2 &
% 56.24/8.57 | op1(e12, e12) = all_24_3 & op1(e12, e11) = all_24_5 & op1(e12, e10) =
% 56.24/8.57 | all_24_10 & op1(e11, e13) = all_24_6 & op1(e11, e12) = all_24_7 &
% 56.24/8.57 | op1(e11, e11) = all_24_8 & op1(e11, e10) = all_24_11 & op1(e10, e13)
% 56.24/8.57 | = all_24_12 & op1(e10, e12) = all_24_13 & op1(e10, e11) = all_24_14 &
% 56.24/8.57 | op1(e10, e10) = all_24_15 & $i(all_24_0) & $i(all_24_1) &
% 56.24/8.57 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 56.24/8.57 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 56.24/8.57 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 56.24/8.57 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e13 | all_24_1 = e13 |
% 56.24/8.57 | all_24_4 = e13 | all_24_9 = e13) & (all_24_0 = e13 | all_24_2 = e13
% 56.24/8.57 | | all_24_6 = e13 | all_24_12 = e13) & (all_24_0 = e12 | all_24_1 =
% 56.24/8.57 | e12 | all_24_4 = e12 | all_24_9 = e12) & (all_24_0 = e12 | all_24_2
% 56.24/8.57 | = e12 | all_24_6 = e12 | all_24_12 = e12) & (all_24_0 = e11 |
% 56.24/8.57 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11) & (all_24_0 = e11
% 56.24/8.57 | | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11) & (all_24_0 =
% 56.24/8.57 | e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10) & (all_24_0
% 56.24/8.57 | = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10) &
% 56.24/8.57 | (all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13)
% 56.24/8.57 | & (all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 =
% 56.24/8.57 | e12) & (all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 |
% 56.24/8.57 | all_24_13 = e11) & (all_24_1 = e10 | all_24_3 = e10 | all_24_7 =
% 56.24/8.57 | e10 | all_24_13 = e10) & (all_24_2 = e13 | all_24_3 = e13 |
% 56.24/8.57 | all_24_5 = e13 | all_24_10 = e13) & (all_24_2 = e12 | all_24_3 =
% 56.24/8.57 | e12 | all_24_5 = e12 | all_24_10 = e12) & (all_24_2 = e11 |
% 56.24/8.57 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11) & (all_24_2 =
% 56.24/8.57 | e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10) &
% 56.24/8.57 | (all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13)
% 56.24/8.57 | & (all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 =
% 56.24/8.57 | e12) & (all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 |
% 56.24/8.57 | all_24_14 = e11) & (all_24_4 = e10 | all_24_5 = e10 | all_24_8 =
% 56.24/8.57 | e10 | all_24_14 = e10) & (all_24_6 = e13 | all_24_7 = e13 |
% 56.24/8.57 | all_24_8 = e13 | all_24_11 = e13) & (all_24_6 = e12 | all_24_7 =
% 56.24/8.57 | e12 | all_24_8 = e12 | all_24_11 = e12) & (all_24_6 = e11 |
% 56.24/8.57 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11) & (all_24_6 =
% 56.24/8.57 | e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10) &
% 56.24/8.57 | (all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 56.24/8.57 | e13) & (all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 |
% 56.24/8.57 | all_24_15 = e12) & (all_24_9 = e11 | all_24_10 = e11 | all_24_11 =
% 56.24/8.57 | e11 | all_24_15 = e11) & (all_24_12 = e13 | all_24_13 = e13 |
% 56.24/8.57 | all_24_14 = e13 | all_24_15 = e13) & (all_24_12 = e12 | all_24_13 =
% 56.24/8.57 | e12 | all_24_14 = e12 | all_24_15 = e12) & (all_24_12 = e11 |
% 56.24/8.57 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11) & (all_24_15 =
% 56.24/8.57 | e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) &
% 56.24/8.57 | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)))
% 56.24/8.57 |
% 56.24/8.57 | ALPHA: (282) implies:
% 56.24/8.57 | (283) op1(e10, e10) = all_24_15
% 56.24/8.57 | (284) op1(e10, e11) = all_24_14
% 56.24/8.57 | (285) op1(e10, e12) = all_24_13
% 56.24/8.57 | (286) op1(e10, e13) = all_24_12
% 56.24/8.57 | (287) op1(e11, e10) = all_24_11
% 56.24/8.57 | (288) op1(e11, e11) = all_24_8
% 56.24/8.57 | (289) op1(e11, e12) = all_24_7
% 56.24/8.57 | (290) op1(e11, e13) = all_24_6
% 56.24/8.57 | (291) op1(e12, e10) = all_24_10
% 56.24/8.57 | (292) op1(e12, e11) = all_24_5
% 56.24/8.57 | (293) op1(e12, e12) = all_24_3
% 56.24/8.57 | (294) op1(e12, e13) = all_24_2
% 56.24/8.57 | (295) op1(e13, e10) = all_24_9
% 56.24/8.57 | (296) op1(e13, e11) = all_24_4
% 56.24/8.57 | (297) op1(e13, e12) = all_24_1
% 56.24/8.57 | (298) op1(e13, e13) = all_24_0
% 56.24/8.57 | (299) all_24_15 = e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 =
% 56.24/8.57 | e10) & (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10))
% 56.24/8.57 | (300) all_24_12 = e11 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11
% 56.24/8.58 | (301) all_24_12 = e12 | all_24_13 = e12 | all_24_14 = e12 | all_24_15 = e12
% 56.24/8.58 | (302) all_24_12 = e13 | all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 56.24/8.58 | (303) all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12
% 56.24/8.58 | (304) all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 = e13
% 56.24/8.58 | (305) all_24_6 = e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 56.24/8.58 | (306) all_24_6 = e11 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 56.24/8.58 | (307) all_24_6 = e12 | all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12
% 56.24/8.58 | (308) all_24_6 = e13 | all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 56.24/8.58 | (309) all_24_4 = e10 | all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10
% 56.24/8.58 | (310) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 56.24/8.58 | (311) all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 56.24/8.58 | (312) all_24_2 = e12 | all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12
% 56.24/8.58 | (313) all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 56.24/8.58 | (314) all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 56.24/8.58 | (315) all_24_0 = e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10
% 56.24/8.58 | (316) all_24_0 = e11 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 56.24/8.58 | (317) all_24_0 = e13 | all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13
% 56.24/8.58 | (318) all_24_0 = e13 | all_24_1 = e13 | all_24_4 = e13 | all_24_9 = e13
% 56.24/8.58 |
% 56.24/8.58 | DELTA: instantiating (4) with fresh symbols all_26_0, all_26_1, all_26_2,
% 56.24/8.58 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 56.24/8.58 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives:
% 56.24/8.58 | (319) op2(e23, e23) = all_26_0 & op2(e23, e22) = all_26_1 & op2(e23, e21) =
% 56.24/8.58 | all_26_4 & op2(e23, e20) = all_26_9 & op2(e22, e23) = all_26_2 &
% 56.24/8.58 | op2(e22, e22) = all_26_3 & op2(e22, e21) = all_26_5 & op2(e22, e20) =
% 56.24/8.58 | all_26_10 & op2(e21, e23) = all_26_6 & op2(e21, e22) = all_26_7 &
% 56.24/8.58 | op2(e21, e21) = all_26_8 & op2(e21, e20) = all_26_11 & op2(e20, e23)
% 56.24/8.58 | = all_26_12 & op2(e20, e22) = all_26_13 & op2(e20, e21) = all_26_14 &
% 56.24/8.58 | op2(e20, e20) = all_26_15 & $i(all_26_0) & $i(all_26_1) &
% 56.24/8.58 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 56.24/8.58 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 56.24/8.58 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 56.24/8.58 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e23 | all_26_1 = e23 |
% 56.24/8.58 | all_26_4 = e23 | all_26_9 = e23) & (all_26_0 = e23 | all_26_2 = e23
% 56.24/8.58 | | all_26_6 = e23 | all_26_12 = e23) & (all_26_0 = e22 | all_26_1 =
% 56.24/8.58 | e22 | all_26_4 = e22 | all_26_9 = e22) & (all_26_0 = e22 | all_26_2
% 56.24/8.58 | = e22 | all_26_6 = e22 | all_26_12 = e22) & (all_26_0 = e21 |
% 56.24/8.58 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21) & (all_26_0 = e21
% 56.24/8.58 | | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21) & (all_26_0 =
% 56.24/8.58 | e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20) & (all_26_0
% 56.24/8.58 | = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20) &
% 56.24/8.58 | (all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23)
% 56.24/8.58 | & (all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 =
% 56.24/8.58 | e22) & (all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 |
% 56.24/8.58 | all_26_13 = e21) & (all_26_1 = e20 | all_26_3 = e20 | all_26_7 =
% 56.24/8.58 | e20 | all_26_13 = e20) & (all_26_2 = e23 | all_26_3 = e23 |
% 56.24/8.58 | all_26_5 = e23 | all_26_10 = e23) & (all_26_2 = e22 | all_26_3 =
% 56.24/8.58 | e22 | all_26_5 = e22 | all_26_10 = e22) & (all_26_2 = e21 |
% 56.24/8.58 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21) & (all_26_2 =
% 56.24/8.58 | e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20) &
% 56.24/8.58 | (all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23)
% 56.24/8.58 | & (all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 =
% 56.24/8.58 | e22) & (all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 |
% 56.24/8.58 | all_26_14 = e21) & (all_26_4 = e20 | all_26_5 = e20 | all_26_8 =
% 56.24/8.58 | e20 | all_26_14 = e20) & (all_26_6 = e23 | all_26_7 = e23 |
% 56.24/8.58 | all_26_8 = e23 | all_26_11 = e23) & (all_26_6 = e22 | all_26_7 =
% 56.24/8.58 | e22 | all_26_8 = e22 | all_26_11 = e22) & (all_26_6 = e21 |
% 56.24/8.58 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21) & (all_26_6 =
% 56.24/8.58 | e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20) &
% 56.24/8.58 | (all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 56.24/8.58 | e23) & (all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 |
% 56.24/8.58 | all_26_15 = e22) & (all_26_9 = e21 | all_26_10 = e21 | all_26_11 =
% 56.24/8.58 | e21 | all_26_15 = e21) & (all_26_12 = e23 | all_26_13 = e23 |
% 56.24/8.58 | all_26_14 = e23 | all_26_15 = e23) & (all_26_12 = e22 | all_26_13 =
% 56.24/8.58 | e22 | all_26_14 = e22 | all_26_15 = e22) & (all_26_12 = e21 |
% 56.24/8.58 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21) & (all_26_15 =
% 56.24/8.58 | e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 56.24/8.58 | (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)))
% 56.24/8.58 |
% 56.24/8.58 | ALPHA: (319) implies:
% 56.24/8.58 | (320) op2(e20, e20) = all_26_15
% 56.24/8.58 | (321) op2(e20, e21) = all_26_14
% 56.24/8.58 | (322) op2(e20, e22) = all_26_13
% 56.24/8.58 | (323) op2(e20, e23) = all_26_12
% 56.24/8.58 | (324) op2(e21, e20) = all_26_11
% 56.24/8.58 | (325) op2(e21, e21) = all_26_8
% 56.24/8.58 | (326) op2(e21, e22) = all_26_7
% 56.24/8.58 | (327) op2(e21, e23) = all_26_6
% 56.24/8.58 | (328) op2(e22, e20) = all_26_10
% 56.24/8.58 | (329) op2(e22, e21) = all_26_5
% 56.24/8.58 | (330) op2(e22, e22) = all_26_3
% 56.24/8.58 | (331) op2(e22, e23) = all_26_2
% 56.24/8.58 | (332) op2(e23, e20) = all_26_9
% 56.24/8.58 | (333) op2(e23, e21) = all_26_4
% 56.24/8.58 | (334) op2(e23, e22) = all_26_1
% 56.24/8.58 | (335) op2(e23, e23) = all_26_0
% 56.24/8.58 | (336) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 56.24/8.58 | e20) & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 56.24/8.58 | (337) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 56.24/8.58 | (338) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 56.24/8.58 | (339) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 56.24/8.58 | (340) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 56.24/8.58 | (341) all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 56.24/8.58 | (342) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 56.24/8.58 | (343) all_26_6 = e21 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21
% 56.24/8.58 | (344) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 56.24/8.58 | (345) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23
% 56.24/8.58 | (346) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 56.24/8.58 | (347) all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21
% 56.24/8.59 | (348) all_26_2 = e22 | all_26_3 = e22 | all_26_5 = e22 | all_26_10 = e22
% 56.24/8.59 | (349) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20
% 56.24/8.59 | (350) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 56.24/8.59 | (351) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 56.24/8.59 | (352) all_26_0 = e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20
% 56.24/8.59 | (353) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 56.24/8.59 | (354) all_26_0 = e21 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 56.24/8.59 | (355) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 56.24/8.59 | (356) all_26_0 = e22 | all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 56.24/8.59 | (357) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 56.24/8.59 |
% 56.24/8.59 | DELTA: instantiating (25) with fresh symbols all_28_0, all_28_1, all_28_2,
% 56.24/8.59 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 56.24/8.59 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 56.24/8.59 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 56.24/8.59 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 56.24/8.59 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 56.24/8.59 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 56.24/8.59 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 56.24/8.59 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 56.24/8.59 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 56.24/8.59 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 56.24/8.59 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 56.24/8.59 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 56.24/8.59 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 56.24/8.59 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 56.24/8.59 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 56.24/8.59 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 56.24/8.59 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 56.24/8.59 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 56.24/8.59 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 56.24/8.59 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 56.24/8.59 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 56.24/8.59 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 56.24/8.59 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 56.24/8.59 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 56.24/8.59 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 56.24/8.59 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 56.24/8.59 | gives:
% 56.24/8.60 | (358) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 56.24/8.60 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 56.24/8.60 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 56.24/8.60 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 56.24/8.60 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 56.24/8.60 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 56.24/8.60 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 56.24/8.60 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 56.24/8.60 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 56.24/8.60 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 56.24/8.60 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 56.24/8.60 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 56.24/8.60 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 56.24/8.60 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 56.24/8.60 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 56.24/8.60 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 56.24/8.60 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 56.24/8.60 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 56.24/8.60 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 56.24/8.60 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 56.24/8.60 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 56.24/8.60 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 56.24/8.60 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 56.24/8.60 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 56.24/8.60 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 56.24/8.60 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 56.24/8.60 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 56.24/8.60 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 56.24/8.60 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 56.24/8.60 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 56.24/8.60 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 56.24/8.60 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 56.24/8.60 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 56.24/8.60 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 56.24/8.60 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 56.24/8.60 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 56.24/8.60 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 56.24/8.60 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 56.24/8.60 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 56.24/8.60 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 56.24/8.60 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 56.24/8.60 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 56.24/8.60 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 56.24/8.60 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 56.24/8.60 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 56.24/8.60 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 56.24/8.60 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 56.24/8.60 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 56.24/8.60 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 56.24/8.60 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 56.24/8.60 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 56.24/8.60 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 56.24/8.60 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 56.24/8.60 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 56.24/8.60 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 56.24/8.60 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 56.24/8.60 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 56.24/8.60 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 56.24/8.60 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 56.24/8.60 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 56.24/8.60 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 56.24/8.60 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 56.24/8.60 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 56.24/8.60 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 56.24/8.60 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 56.24/8.60 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 56.24/8.60 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 56.24/8.60 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 56.24/8.60 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 56.24/8.60 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 56.24/8.60 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 56.24/8.60 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 56.24/8.60 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 56.24/8.60 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 56.24/8.60 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 56.24/8.60 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 56.24/8.60 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 56.24/8.60 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 56.24/8.60 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 56.24/8.60 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 56.24/8.60 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 56.24/8.60 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 56.24/8.60 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 56.24/8.60 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 56.24/8.60 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 56.24/8.60 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 56.24/8.60 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 56.24/8.60 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 56.24/8.60 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 56.24/8.60 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 56.24/8.60 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 56.24/8.60 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 56.24/8.60 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 56.24/8.60 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 56.24/8.60 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 56.24/8.60 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 56.24/8.60 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 56.24/8.60 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 56.24/8.60 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 56.24/8.60 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 56.24/8.60 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 56.24/8.60 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 56.24/8.60 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 56.24/8.60 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 56.24/8.60 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 56.24/8.60 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 56.24/8.60 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 56.24/8.60 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 56.24/8.60 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 56.24/8.60 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 56.24/8.60 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 56.24/8.60 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 56.24/8.60 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 56.24/8.60 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 56.24/8.60 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 56.24/8.60 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 56.24/8.60 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 56.24/8.60 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 56.24/8.60 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 56.24/8.60 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 56.24/8.60 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 56.24/8.60 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 56.24/8.60 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 56.24/8.60 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 56.24/8.60 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 56.24/8.60 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 56.24/8.60 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 56.24/8.60 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 56.24/8.60 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 56.24/8.60 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 56.24/8.60 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 56.24/8.60 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 56.24/8.60 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 56.24/8.60 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 56.24/8.60 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 56.24/8.60 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 56.24/8.60 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 56.24/8.60 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 56.24/8.60 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 56.24/8.60 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 56.24/8.60 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 56.24/8.60 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 56.24/8.60 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 56.24/8.60 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 56.24/8.60 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 56.24/8.60 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 56.24/8.60 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 56.24/8.60 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 56.24/8.60 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 56.24/8.60 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 56.24/8.60 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 56.24/8.60 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 56.24/8.60 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 56.24/8.60 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 56.24/8.60 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 56.24/8.60 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 56.24/8.60 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 56.24/8.60 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 56.24/8.60 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 56.24/8.60 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 56.24/8.60 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 56.24/8.60 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 56.24/8.60 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 56.24/8.60 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 56.24/8.60 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 56.24/8.60 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 56.24/8.60 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 56.24/8.60 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 56.24/8.60 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 56.24/8.60 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 56.24/8.60 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 56.24/8.60 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 56.24/8.60 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 56.24/8.60 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 56.24/8.60 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 56.24/8.60 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 56.24/8.60 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 56.24/8.60 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 56.24/8.60 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 56.24/8.60 | (all_28_157 = e20)))
% 56.24/8.60 |
% 56.24/8.60 | ALPHA: (358) implies:
% 56.24/8.60 | (359) op1(e10, e10) = all_28_159
% 56.24/8.60 | (360) op1(e10, e11) = all_28_155
% 56.24/8.60 | (361) op1(e10, e12) = all_28_151
% 56.24/8.60 | (362) op1(e10, e13) = all_28_147
% 56.24/8.60 | (363) op1(e11, e10) = all_28_143
% 56.24/8.60 | (364) op1(e11, e11) = all_28_140
% 56.24/8.60 | (365) op1(e11, e12) = all_28_137
% 56.24/8.60 | (366) op1(e11, e13) = all_28_134
% 56.24/8.60 | (367) op1(e12, e10) = all_28_131
% 56.24/8.60 | (368) op1(e12, e11) = all_28_128
% 56.24/8.60 | (369) op1(e12, e12) = all_28_125
% 56.24/8.60 | (370) op1(e12, e13) = all_28_122
% 56.24/8.60 | (371) op1(e13, e10) = all_28_119
% 56.24/8.60 | (372) op1(e13, e11) = all_28_116
% 56.24/8.60 | (373) op1(e13, e12) = all_28_113
% 56.24/8.60 | (374) op1(e13, e13) = all_28_110
% 56.24/8.60 | (375) op2(all_28_157, all_28_157) = all_28_156
% 56.24/8.60 | (376) op2(all_28_157, all_28_149) = all_28_148
% 56.24/8.60 | (377) op2(all_28_157, all_28_145) = all_28_144
% 56.24/8.60 | (378) op2(all_28_149, all_28_157) = all_28_129
% 56.24/8.60 | (379) op2(all_28_149, all_28_149) = all_28_123
% 56.24/8.60 | (380) op2(all_28_149, all_28_145) = all_28_120
% 56.24/8.60 | (381) op2(all_28_145, all_28_157) = all_28_117
% 56.24/8.60 | (382) op2(all_28_145, all_28_149) = all_28_111
% 56.24/8.60 | (383) op2(all_28_145, all_28_145) = all_28_108
% 56.24/8.60 | (384) op2(all_28_100, all_28_100) = all_28_82
% 56.24/8.60 | (385) op2(all_28_97, all_28_97) = all_28_72
% 56.24/8.60 | (386) op2(all_28_70, all_28_70) = all_28_69
% 56.24/8.60 | (387) op2(all_28_70, all_28_67) = all_28_66
% 56.24/8.60 | (388) op2(all_28_70, all_28_64) = all_28_63
% 56.24/8.60 | (389) op2(all_28_70, all_28_61) = all_28_60
% 56.24/8.60 | (390) op2(all_28_67, all_28_70) = all_28_58
% 56.24/8.60 | (391) op2(all_28_67, all_28_67) = all_28_56
% 56.24/8.60 | (392) op2(all_28_67, all_28_64) = all_28_54
% 56.24/8.60 | (393) op2(all_28_67, all_28_61) = all_28_52
% 56.24/8.60 | (394) op2(all_28_64, all_28_70) = all_28_50
% 56.24/8.60 | (395) op2(all_28_64, all_28_67) = all_28_48
% 56.24/8.60 | (396) op2(all_28_64, all_28_64) = all_28_46
% 56.24/8.60 | (397) op2(all_28_64, all_28_61) = all_28_44
% 56.24/8.60 | (398) op2(all_28_61, all_28_70) = all_28_42
% 56.24/8.60 | (399) op2(all_28_61, all_28_67) = all_28_40
% 56.24/8.60 | (400) op2(all_28_61, all_28_64) = all_28_38
% 56.24/8.60 | (401) op2(all_28_61, all_28_61) = all_28_36
% 56.24/8.60 | (402) op2(all_28_34, all_28_34) = all_28_33
% 56.24/8.60 | (403) op2(all_28_34, all_28_31) = all_28_30
% 56.24/8.60 | (404) op2(all_28_34, all_28_28) = all_28_27
% 56.24/8.60 | (405) op2(all_28_34, all_28_25) = all_28_24
% 56.24/8.60 | (406) op2(all_28_31, all_28_34) = all_28_22
% 56.24/8.60 | (407) op2(all_28_31, all_28_31) = all_28_20
% 56.24/8.60 | (408) op2(all_28_31, all_28_28) = all_28_18
% 56.24/8.60 | (409) op2(all_28_31, all_28_25) = all_28_16
% 56.24/8.60 | (410) op2(all_28_28, all_28_34) = all_28_14
% 56.24/8.60 | (411) op2(all_28_28, all_28_31) = all_28_12
% 56.24/8.60 | (412) op2(all_28_28, all_28_28) = all_28_10
% 56.24/8.60 | (413) op2(all_28_28, all_28_25) = all_28_8
% 56.24/8.60 | (414) op2(all_28_25, all_28_34) = all_28_6
% 56.24/8.60 | (415) op2(all_28_25, all_28_31) = all_28_4
% 56.24/8.60 | (416) op2(all_28_25, all_28_28) = all_28_2
% 56.24/8.60 | (417) op2(all_28_25, all_28_25) = all_28_0
% 56.24/8.60 | (418) h1(e10) = all_28_157
% 56.24/8.60 | (419) h1(e12) = all_28_149
% 56.24/8.60 | (420) h1(e13) = all_28_145
% 56.24/8.60 | (421) h2(e12) = all_28_100
% 56.24/8.60 | (422) h2(e13) = all_28_97
% 56.24/8.60 | (423) h3(e10) = all_28_70
% 56.24/8.60 | (424) h3(e11) = all_28_67
% 56.24/8.60 | (425) h3(e12) = all_28_64
% 56.24/8.60 | (426) h3(e13) = all_28_61
% 56.24/8.60 | (427) h3(all_28_159) = all_28_71
% 56.24/8.60 | (428) h3(all_28_155) = all_28_68
% 56.24/8.60 | (429) h3(all_28_151) = all_28_65
% 56.24/8.60 | (430) h3(all_28_147) = all_28_62
% 56.24/8.60 | (431) h3(all_28_143) = all_28_59
% 56.24/8.60 | (432) h3(all_28_140) = all_28_57
% 56.24/8.60 | (433) h3(all_28_137) = all_28_55
% 56.24/8.60 | (434) h3(all_28_134) = all_28_53
% 56.24/8.60 | (435) h3(all_28_131) = all_28_51
% 56.24/8.60 | (436) h3(all_28_128) = all_28_49
% 56.24/8.60 | (437) h3(all_28_125) = all_28_47
% 56.24/8.60 | (438) h3(all_28_122) = all_28_45
% 56.24/8.60 | (439) h3(all_28_119) = all_28_43
% 56.24/8.60 | (440) h3(all_28_116) = all_28_41
% 56.24/8.60 | (441) h3(all_28_113) = all_28_39
% 56.24/8.60 | (442) h3(all_28_110) = all_28_37
% 56.24/8.60 | (443) h4(e10) = all_28_34
% 56.24/8.60 | (444) h4(e11) = all_28_31
% 56.24/8.60 | (445) h4(e12) = all_28_28
% 56.24/8.61 | (446) h4(e13) = all_28_25
% 56.24/8.61 | (447) h4(all_28_159) = all_28_35
% 56.24/8.61 | (448) h4(all_28_155) = all_28_32
% 56.24/8.61 | (449) h4(all_28_151) = all_28_29
% 56.24/8.61 | (450) h4(all_28_147) = all_28_26
% 56.24/8.61 | (451) h4(all_28_143) = all_28_23
% 56.24/8.61 | (452) h4(all_28_140) = all_28_21
% 56.24/8.61 | (453) h4(all_28_137) = all_28_19
% 56.24/8.61 | (454) h4(all_28_134) = all_28_17
% 56.24/8.61 | (455) h4(all_28_131) = all_28_15
% 56.24/8.61 | (456) h4(all_28_128) = all_28_13
% 56.24/8.61 | (457) h4(all_28_125) = all_28_11
% 56.24/8.61 | (458) h4(all_28_122) = all_28_9
% 56.24/8.61 | (459) h4(all_28_119) = all_28_7
% 56.24/8.61 | (460) h4(all_28_116) = all_28_5
% 56.24/8.61 | (461) h4(all_28_113) = all_28_3
% 56.24/8.61 | (462) h4(all_28_110) = all_28_1
% 56.24/8.61 | (463) ~ (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 56.24/8.61 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ (all_28_44
% 56.24/8.61 | = all_28_45) | ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 56.24/8.61 | all_28_49) | ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 56.24/8.61 | all_28_53) | ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 56.24/8.61 | all_28_57) | ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 56.24/8.61 | all_28_62) | ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 56.24/8.61 | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 56.24/8.61 | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~ (all_28_70 = e23))
% 56.24/8.61 | | ( ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~ (all_28_67 = e22)
% 56.24/8.61 | & ~ (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~ (all_28_64 =
% 56.24/8.61 | e21) & ~ (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 56.24/8.61 | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~ (all_28_67 = e20) &
% 56.24/8.61 | ~ (all_28_70 = e20))
% 56.24/8.61 | (464) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 56.24/8.61 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) |
% 56.24/8.61 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 56.24/8.61 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18
% 56.24/8.61 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 56.24/8.61 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 56.24/8.61 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 56.24/8.61 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 56.24/8.61 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 56.24/8.61 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22))
% 56.24/8.61 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21)
% 56.24/8.61 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 56.24/8.61 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_15, all_24_15, e10, e10,
% 56.24/8.61 | simplifying with (106), (283) gives:
% 56.24/8.61 | (465) all_24_15 = all_12_15
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_15, all_28_159, e10, e10,
% 56.24/8.61 | simplifying with (283), (359) gives:
% 56.24/8.61 | (466) all_28_159 = all_24_15
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_15, all_28_159, e10, e10,
% 56.24/8.61 | simplifying with (245), (359) gives:
% 56.24/8.61 | (467) all_28_159 = all_20_15
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_15, all_28_159, e10, e10,
% 56.24/8.61 | simplifying with (188), (359) gives:
% 56.24/8.61 | (468) all_28_159 = all_16_15
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_14, all_20_8, e11, e10,
% 56.24/8.61 | simplifying with (189), (246) gives:
% 56.24/8.61 | (469) all_20_8 = all_16_14
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_8, all_24_14, e11, e10,
% 56.24/8.61 | simplifying with (246), (284) gives:
% 56.24/8.61 | (470) all_24_14 = all_20_8
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_14, all_28_155, e11, e10,
% 56.24/8.61 | simplifying with (284), (360) gives:
% 56.24/8.61 | (471) all_28_155 = all_24_14
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_11, all_28_155, e11, e10,
% 56.24/8.61 | simplifying with (107), (360) gives:
% 56.24/8.61 | (472) all_28_155 = all_12_11
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_13, all_24_13, e12, e10,
% 56.24/8.61 | simplifying with (190), (285) gives:
% 56.24/8.61 | (473) all_24_13 = all_16_13
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_7, all_24_13, e12, e10,
% 56.24/8.61 | simplifying with (108), (285) gives:
% 56.24/8.61 | (474) all_24_13 = all_12_7
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_13, all_28_151, e12, e10,
% 56.24/8.61 | simplifying with (285), (361) gives:
% 56.24/8.61 | (475) all_28_151 = all_24_13
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_5, all_28_151, e12, e10,
% 56.24/8.61 | simplifying with (247), (361) gives:
% 56.24/8.61 | (476) all_28_151 = all_20_5
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_2, all_24_12, e13, e10,
% 56.24/8.61 | simplifying with (248), (286) gives:
% 56.24/8.61 | (477) all_24_12 = all_20_2
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_12, all_24_12, e13, e10,
% 56.24/8.61 | simplifying with (191), (286) gives:
% 56.24/8.61 | (478) all_24_12 = all_16_12
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_12, all_28_147, e13, e10,
% 56.24/8.61 | simplifying with (286), (362) gives:
% 56.24/8.61 | (479) all_28_147 = all_24_12
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_3, all_28_147, e13, e10,
% 56.24/8.61 | simplifying with (109), (362) gives:
% 56.24/8.61 | (480) all_28_147 = all_12_3
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_11, all_24_11, e10, e11,
% 56.24/8.61 | simplifying with (192), (287) gives:
% 56.24/8.61 | (481) all_24_11 = all_16_11
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_14, all_24_11, e10, e11,
% 56.24/8.61 | simplifying with (110), (287) gives:
% 56.24/8.61 | (482) all_24_11 = all_12_14
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_11, all_28_143, e10, e11,
% 56.24/8.61 | simplifying with (287), (363) gives:
% 56.24/8.61 | (483) all_28_143 = all_24_11
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_13, all_28_143, e10, e11,
% 56.24/8.61 | simplifying with (249), (363) gives:
% 56.24/8.61 | (484) all_28_143 = all_20_13
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_10, all_20_14, e11, e11,
% 56.24/8.61 | simplifying with (193), (250) gives:
% 56.24/8.61 | (485) all_20_14 = all_16_10
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_8, all_28_140, e11, e11,
% 56.24/8.61 | simplifying with (288), (364) gives:
% 56.24/8.61 | (486) all_28_140 = all_24_8
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_14, all_28_140, e11, e11,
% 56.24/8.61 | simplifying with (250), (364) gives:
% 56.24/8.61 | (487) all_28_140 = all_20_14
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_10, all_28_140, e11, e11,
% 56.24/8.61 | simplifying with (111), (364) gives:
% 56.24/8.61 | (488) all_28_140 = all_12_10
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_9, all_24_7, e12, e11, simplifying
% 56.24/8.61 | with (194), (289) gives:
% 56.24/8.61 | (489) all_24_7 = all_16_9
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_7, all_28_137, e12, e11,
% 56.24/8.61 | simplifying with (289), (365) gives:
% 56.24/8.61 | (490) all_28_137 = all_24_7
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_4, all_28_137, e12, e11,
% 56.24/8.61 | simplifying with (251), (365) gives:
% 56.24/8.61 | (491) all_28_137 = all_20_4
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_6, all_28_137, e12, e11,
% 56.24/8.61 | simplifying with (112), (365) gives:
% 56.24/8.61 | (492) all_28_137 = all_12_6
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_8, all_20_1, e13, e11, simplifying
% 56.24/8.61 | with (195), (252) gives:
% 56.24/8.61 | (493) all_20_1 = all_16_8
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_1, all_24_6, e13, e11, simplifying
% 56.24/8.61 | with (252), (290) gives:
% 56.24/8.61 | (494) all_24_6 = all_20_1
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_24_6, all_28_134, e13, e11,
% 56.24/8.61 | simplifying with (290), (366) gives:
% 56.24/8.61 | (495) all_28_134 = all_24_6
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_12_2, all_28_134, e13, e11,
% 56.24/8.61 | simplifying with (113), (366) gives:
% 56.24/8.61 | (496) all_28_134 = all_12_2
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_16_7, all_20_11, e10, e12,
% 56.24/8.61 | simplifying with (196), (253) gives:
% 56.24/8.61 | (497) all_20_11 = all_16_7
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with e11, all_20_11, e10, e12, simplifying
% 56.24/8.61 | with (15), (253) gives:
% 56.24/8.61 | (498) all_20_11 = e11
% 56.24/8.61 |
% 56.24/8.61 | GROUND_INST: instantiating (30) with all_20_11, all_24_10, e10, e12,
% 56.24/8.61 | simplifying with (253), (291) gives:
% 56.24/8.61 | (499) all_24_10 = all_20_11
% 56.24/8.61 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_10, all_28_131, e10, e12,
% 56.24/8.62 | simplifying with (291), (367) gives:
% 56.24/8.62 | (500) all_28_131 = all_24_10
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_13, all_28_131, e10, e12,
% 56.24/8.62 | simplifying with (114), (367) gives:
% 56.24/8.62 | (501) all_28_131 = all_12_13
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_9, all_20_7, e11, e12, simplifying
% 56.24/8.62 | with (115), (254) gives:
% 56.24/8.62 | (502) all_20_7 = all_12_9
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_7, all_24_5, e11, e12, simplifying
% 56.24/8.62 | with (254), (292) gives:
% 56.24/8.62 | (503) all_24_5 = all_20_7
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_5, all_28_128, e11, e12,
% 56.24/8.62 | simplifying with (292), (368) gives:
% 56.24/8.62 | (504) all_28_128 = all_24_5
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_6, all_28_128, e11, e12,
% 56.24/8.62 | simplifying with (197), (368) gives:
% 56.24/8.62 | (505) all_28_128 = all_16_6
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_12, all_24_3, e12, e12,
% 56.24/8.62 | simplifying with (255), (293) gives:
% 56.24/8.62 | (506) all_24_3 = all_20_12
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_5, all_24_3, e12, e12, simplifying
% 56.24/8.62 | with (198), (293) gives:
% 56.24/8.62 | (507) all_24_3 = all_16_5
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with e13, all_24_3, e12, e12, simplifying with
% 56.24/8.62 | (16), (293) gives:
% 56.24/8.62 | (508) all_24_3 = e13
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_3, all_28_125, e12, e12,
% 56.24/8.62 | simplifying with (293), (369) gives:
% 56.24/8.62 | (509) all_28_125 = all_24_3
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_5, all_28_125, e12, e12,
% 56.24/8.62 | simplifying with (116), (369) gives:
% 56.24/8.62 | (510) all_28_125 = all_12_5
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with e10, all_16_4, e13, e12, simplifying with
% 56.24/8.62 | (17), (199) gives:
% 56.24/8.62 | (511) all_16_4 = e10
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_2, all_28_122, e13, e12,
% 56.24/8.62 | simplifying with (294), (370) gives:
% 56.24/8.62 | (512) all_28_122 = all_24_2
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_0, all_28_122, e13, e12,
% 56.24/8.62 | simplifying with (256), (370) gives:
% 56.24/8.62 | (513) all_28_122 = all_20_0
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_4, all_28_122, e13, e12,
% 56.24/8.62 | simplifying with (199), (370) gives:
% 56.24/8.62 | (514) all_28_122 = all_16_4
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_1, all_28_122, e13, e12,
% 56.24/8.62 | simplifying with (117), (370) gives:
% 56.24/8.62 | (515) all_28_122 = all_12_1
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_9, all_24_9, e10, e13, simplifying
% 56.24/8.62 | with (257), (295) gives:
% 56.24/8.62 | (516) all_24_9 = all_20_9
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_3, all_24_9, e10, e13, simplifying
% 56.24/8.62 | with (200), (295) gives:
% 56.24/8.62 | (517) all_24_9 = all_16_3
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_9, all_28_119, e10, e13,
% 56.24/8.62 | simplifying with (257), (371) gives:
% 56.24/8.62 | (518) all_28_119 = all_20_9
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_12, all_28_119, e10, e13,
% 56.24/8.62 | simplifying with (118), (371) gives:
% 56.24/8.62 | (519) all_28_119 = all_12_12
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_4, all_28_116, e11, e13,
% 56.24/8.62 | simplifying with (296), (372) gives:
% 56.24/8.62 | (520) all_28_116 = all_24_4
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_6, all_28_116, e11, e13,
% 56.24/8.62 | simplifying with (258), (372) gives:
% 56.24/8.62 | (521) all_28_116 = all_20_6
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_2, all_28_116, e11, e13,
% 56.24/8.62 | simplifying with (201), (372) gives:
% 56.24/8.62 | (522) all_28_116 = all_16_2
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_8, all_28_116, e11, e13,
% 56.24/8.62 | simplifying with (119), (372) gives:
% 56.24/8.62 | (523) all_28_116 = all_12_8
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_4, all_20_3, e12, e13, simplifying
% 56.24/8.62 | with (120), (259) gives:
% 56.24/8.62 | (524) all_20_3 = all_12_4
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_3, all_24_1, e12, e13, simplifying
% 56.24/8.62 | with (259), (297) gives:
% 56.24/8.62 | (525) all_24_1 = all_20_3
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_1, all_28_113, e12, e13,
% 56.24/8.62 | simplifying with (297), (373) gives:
% 56.24/8.62 | (526) all_28_113 = all_24_1
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_1, all_28_113, e12, e13,
% 56.24/8.62 | simplifying with (202), (373) gives:
% 56.24/8.62 | (527) all_28_113 = all_16_1
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_16_0, all_24_0, e13, e13, simplifying
% 56.24/8.62 | with (203), (298) gives:
% 56.24/8.62 | (528) all_24_0 = all_16_0
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_24_0, all_28_110, e13, e13,
% 56.24/8.62 | simplifying with (298), (374) gives:
% 56.24/8.62 | (529) all_28_110 = all_24_0
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_20_10, all_28_110, e13, e13,
% 56.24/8.62 | simplifying with (260), (374) gives:
% 56.24/8.62 | (530) all_28_110 = all_20_10
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (30) with all_12_0, all_28_110, e13, e13,
% 56.24/8.62 | simplifying with (121), (374) gives:
% 56.24/8.62 | (531) all_28_110 = all_12_0
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_10_1, all_18_15, e20, e20,
% 56.24/8.62 | simplifying with (53), (217) gives:
% 56.24/8.62 | (532) all_18_15 = all_10_1
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_15, all_22_15, e20, e20,
% 56.24/8.62 | simplifying with (217), (264) gives:
% 56.24/8.62 | (533) all_22_15 = all_18_15
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_15, all_26_15, e20, e20,
% 56.24/8.62 | simplifying with (264), (320) gives:
% 56.24/8.62 | (534) all_26_15 = all_22_15
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_15, all_26_15, e20, e20,
% 56.24/8.62 | simplifying with (171), (320) gives:
% 56.24/8.62 | (535) all_26_15 = all_14_15
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_11, all_22_8, e21, e20,
% 56.24/8.62 | simplifying with (172), (265) gives:
% 56.24/8.62 | (536) all_22_8 = all_14_11
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_8, all_26_14, e21, e20,
% 56.24/8.62 | simplifying with (265), (321) gives:
% 56.24/8.62 | (537) all_26_14 = all_22_8
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_14, all_26_14, e21, e20,
% 56.24/8.62 | simplifying with (218), (321) gives:
% 56.24/8.62 | (538) all_26_14 = all_18_14
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_7, all_22_5, e22, e20, simplifying
% 56.24/8.62 | with (173), (266) gives:
% 56.24/8.62 | (539) all_22_5 = all_14_7
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_5, all_26_13, e22, e20,
% 56.24/8.62 | simplifying with (266), (322) gives:
% 56.24/8.62 | (540) all_26_13 = all_22_5
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_13, all_26_13, e22, e20,
% 56.24/8.62 | simplifying with (219), (322) gives:
% 56.24/8.62 | (541) all_26_13 = all_18_13
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_12, all_22_2, e23, e20,
% 56.24/8.62 | simplifying with (220), (267) gives:
% 56.24/8.62 | (542) all_22_2 = all_18_12
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_2, all_26_12, e23, e20,
% 56.24/8.62 | simplifying with (267), (323) gives:
% 56.24/8.62 | (543) all_26_12 = all_22_2
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_3, all_26_12, e23, e20,
% 56.24/8.62 | simplifying with (174), (323) gives:
% 56.24/8.62 | (544) all_26_12 = all_14_3
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_13, all_26_11, e20, e21,
% 56.24/8.62 | simplifying with (268), (324) gives:
% 56.24/8.62 | (545) all_26_11 = all_22_13
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_11, all_26_11, e20, e21,
% 56.24/8.62 | simplifying with (221), (324) gives:
% 56.24/8.62 | (546) all_26_11 = all_18_11
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_14, all_26_11, e20, e21,
% 56.24/8.62 | simplifying with (175), (324) gives:
% 56.24/8.62 | (547) all_26_11 = all_14_14
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_10, all_22_14, e21, e21,
% 56.24/8.62 | simplifying with (222), (269) gives:
% 56.24/8.62 | (548) all_22_14 = all_18_10
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_10, all_22_14, e21, e21,
% 56.24/8.62 | simplifying with (176), (269) gives:
% 56.24/8.62 | (549) all_22_14 = all_14_10
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_14, all_26_8, e21, e21,
% 56.24/8.62 | simplifying with (269), (325) gives:
% 56.24/8.62 | (550) all_26_8 = all_22_14
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_4_1, all_26_8, e21, e21, simplifying
% 56.24/8.62 | with (33), (325) gives:
% 56.24/8.62 | (551) all_26_8 = all_4_1
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_22_4, all_26_7, e22, e21, simplifying
% 56.24/8.62 | with (270), (326) gives:
% 56.24/8.62 | (552) all_26_7 = all_22_4
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_18_9, all_26_7, e22, e21, simplifying
% 56.24/8.62 | with (223), (326) gives:
% 56.24/8.62 | (553) all_26_7 = all_18_9
% 56.24/8.62 |
% 56.24/8.62 | GROUND_INST: instantiating (31) with all_14_6, all_26_7, e22, e21, simplifying
% 56.24/8.62 | with (177), (326) gives:
% 56.24/8.62 | (554) all_26_7 = all_14_6
% 56.24/8.62 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_1, all_26_6, e23, e21, simplifying
% 56.24/8.63 | with (271), (327) gives:
% 56.24/8.63 | (555) all_26_6 = all_22_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_8, all_26_6, e23, e21, simplifying
% 56.24/8.63 | with (224), (327) gives:
% 56.24/8.63 | (556) all_26_6 = all_18_8
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_2, all_26_6, e23, e21, simplifying
% 56.24/8.63 | with (178), (327) gives:
% 56.24/8.63 | (557) all_26_6 = all_14_2
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with e21, all_18_7, e20, e22, simplifying with
% 56.24/8.63 | (18), (225) gives:
% 56.24/8.63 | (558) all_18_7 = e21
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_7, all_22_11, e20, e22,
% 56.24/8.63 | simplifying with (225), (272) gives:
% 56.24/8.63 | (559) all_22_11 = all_18_7
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_11, all_26_10, e20, e22,
% 56.24/8.63 | simplifying with (272), (328) gives:
% 56.24/8.63 | (560) all_26_10 = all_22_11
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_13, all_26_10, e20, e22,
% 56.24/8.63 | simplifying with (179), (328) gives:
% 56.24/8.63 | (561) all_26_10 = all_14_13
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_6, all_22_7, e21, e22, simplifying
% 56.24/8.63 | with (226), (273) gives:
% 56.24/8.63 | (562) all_22_7 = all_18_6
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_7, all_26_5, e21, e22, simplifying
% 56.24/8.63 | with (273), (329) gives:
% 56.24/8.63 | (563) all_26_5 = all_22_7
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_9, all_26_5, e21, e22, simplifying
% 56.24/8.63 | with (180), (329) gives:
% 56.24/8.63 | (564) all_26_5 = all_14_9
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with e23, all_14_5, e22, e22, simplifying with
% 56.24/8.63 | (19), (181) gives:
% 56.24/8.63 | (565) all_14_5 = e23
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_5, all_18_5, e22, e22, simplifying
% 56.24/8.63 | with (181), (227) gives:
% 56.24/8.63 | (566) all_18_5 = all_14_5
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_5, all_22_12, e22, e22,
% 56.24/8.63 | simplifying with (227), (274) gives:
% 56.24/8.63 | (567) all_22_12 = all_18_5
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_12, all_26_3, e22, e22,
% 56.24/8.63 | simplifying with (274), (330) gives:
% 56.24/8.63 | (568) all_26_3 = all_22_12
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_6_1, all_26_3, e22, e22, simplifying
% 56.24/8.63 | with (37), (330) gives:
% 56.24/8.63 | (569) all_26_3 = all_6_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_1, all_18_4, e23, e22, simplifying
% 56.24/8.63 | with (182), (228) gives:
% 56.24/8.63 | (570) all_18_4 = all_14_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_4, all_22_0, e23, e22, simplifying
% 56.24/8.63 | with (228), (275) gives:
% 56.24/8.63 | (571) all_22_0 = all_18_4
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_0, all_26_2, e23, e22, simplifying
% 56.24/8.63 | with (275), (331) gives:
% 56.24/8.63 | (572) all_26_2 = all_22_0
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with e20, all_26_2, e23, e22, simplifying with
% 56.24/8.63 | (20), (331) gives:
% 56.24/8.63 | (573) all_26_2 = e20
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_3, all_22_9, e20, e23, simplifying
% 56.24/8.63 | with (229), (276) gives:
% 56.24/8.63 | (574) all_22_9 = all_18_3
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_9, all_26_9, e20, e23, simplifying
% 56.24/8.63 | with (276), (332) gives:
% 56.24/8.63 | (575) all_26_9 = all_22_9
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_12, all_26_9, e20, e23,
% 56.24/8.63 | simplifying with (183), (332) gives:
% 56.24/8.63 | (576) all_26_9 = all_14_12
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_2, all_22_6, e21, e23, simplifying
% 56.24/8.63 | with (230), (277) gives:
% 56.24/8.63 | (577) all_22_6 = all_18_2
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_6, all_26_4, e21, e23, simplifying
% 56.24/8.63 | with (277), (333) gives:
% 56.24/8.63 | (578) all_26_4 = all_22_6
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_8, all_26_4, e21, e23, simplifying
% 56.24/8.63 | with (184), (333) gives:
% 56.24/8.63 | (579) all_26_4 = all_14_8
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_1, all_22_3, e22, e23, simplifying
% 56.24/8.63 | with (231), (278) gives:
% 56.24/8.63 | (580) all_22_3 = all_18_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_3, all_26_1, e22, e23, simplifying
% 56.24/8.63 | with (278), (334) gives:
% 56.24/8.63 | (581) all_26_1 = all_22_3
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_4, all_26_1, e22, e23, simplifying
% 56.24/8.63 | with (185), (334) gives:
% 56.24/8.63 | (582) all_26_1 = all_14_4
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_14_0, all_18_0, e23, e23, simplifying
% 56.24/8.63 | with (186), (232) gives:
% 56.24/8.63 | (583) all_18_0 = all_14_0
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_18_0, all_22_10, e23, e23,
% 56.24/8.63 | simplifying with (232), (279) gives:
% 56.24/8.63 | (584) all_22_10 = all_18_0
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_22_10, all_26_0, e23, e23,
% 56.24/8.63 | simplifying with (279), (335) gives:
% 56.24/8.63 | (585) all_26_0 = all_22_10
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (31) with all_8_1, all_26_0, e23, e23, simplifying
% 56.24/8.63 | with (45), (335) gives:
% 56.24/8.63 | (586) all_26_0 = all_8_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (26) with all_10_2, all_28_157, e10, simplifying
% 56.24/8.63 | with (56), (418) gives:
% 56.24/8.63 | (587) all_28_157 = all_10_2
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (26) with e20, all_28_149, e12, simplifying with
% 56.24/8.63 | (57), (419) gives:
% 56.24/8.63 | (588) all_28_149 = e20
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (26) with all_10_1, all_28_145, e13, simplifying
% 56.24/8.63 | with (58), (420) gives:
% 56.24/8.63 | (589) all_28_145 = all_10_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (27) with e21, all_28_100, e12, simplifying with
% 56.24/8.63 | (34), (421) gives:
% 56.24/8.63 | (590) all_28_100 = e21
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (27) with all_4_1, all_28_97, e13, simplifying with
% 56.24/8.63 | (35), (422) gives:
% 56.24/8.63 | (591) all_28_97 = all_4_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (28) with all_6_2, all_28_70, e10, simplifying with
% 56.24/8.63 | (40), (423) gives:
% 56.24/8.63 | (592) all_28_70 = all_6_2
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (28) with all_6_0, all_28_67, e11, simplifying with
% 56.24/8.63 | (41), (424) gives:
% 56.24/8.63 | (593) all_28_67 = all_6_0
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (28) with e22, all_28_64, e12, simplifying with
% 56.24/8.63 | (42), (425) gives:
% 56.24/8.63 | (594) all_28_64 = e22
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (28) with all_6_1, all_28_61, e13, simplifying with
% 56.24/8.63 | (43), (426) gives:
% 56.24/8.63 | (595) all_28_61 = all_6_1
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (29) with all_8_2, all_28_34, e10, simplifying with
% 56.24/8.63 | (48), (443) gives:
% 56.24/8.63 | (596) all_28_34 = all_8_2
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (29) with all_8_0, all_28_31, e11, simplifying with
% 56.24/8.63 | (49), (444) gives:
% 56.24/8.63 | (597) all_28_31 = all_8_0
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (29) with e23, all_28_28, e12, simplifying with
% 56.24/8.63 | (50), (445) gives:
% 56.24/8.63 | (598) all_28_28 = e23
% 56.24/8.63 |
% 56.24/8.63 | GROUND_INST: instantiating (29) with all_8_1, all_28_25, e13, simplifying with
% 56.24/8.63 | (51), (446) gives:
% 56.24/8.63 | (599) all_28_25 = all_8_1
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (530), (531) imply:
% 56.24/8.63 | (600) all_20_10 = all_12_0
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (529), (530) imply:
% 56.24/8.63 | (601) all_24_0 = all_20_10
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (601) implies:
% 56.24/8.63 | (602) all_24_0 = all_20_10
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (526), (527) imply:
% 56.24/8.63 | (603) all_24_1 = all_16_1
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (603) implies:
% 56.24/8.63 | (604) all_24_1 = all_16_1
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (520), (523) imply:
% 56.24/8.63 | (605) all_24_4 = all_12_8
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (520), (522) imply:
% 56.24/8.63 | (606) all_24_4 = all_16_2
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (520), (521) imply:
% 56.24/8.63 | (607) all_24_4 = all_20_6
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (518), (519) imply:
% 56.24/8.63 | (608) all_20_9 = all_12_12
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (608) implies:
% 56.24/8.63 | (609) all_20_9 = all_12_12
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (512), (515) imply:
% 56.24/8.63 | (610) all_24_2 = all_12_1
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (512), (514) imply:
% 56.24/8.63 | (611) all_24_2 = all_16_4
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (512), (513) imply:
% 56.24/8.63 | (612) all_24_2 = all_20_0
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (509), (510) imply:
% 56.24/8.63 | (613) all_24_3 = all_12_5
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (613) implies:
% 56.24/8.63 | (614) all_24_3 = all_12_5
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (504), (505) imply:
% 56.24/8.63 | (615) all_24_5 = all_16_6
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (615) implies:
% 56.24/8.63 | (616) all_24_5 = all_16_6
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (500), (501) imply:
% 56.24/8.63 | (617) all_24_10 = all_12_13
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (617) implies:
% 56.24/8.63 | (618) all_24_10 = all_12_13
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (495), (496) imply:
% 56.24/8.63 | (619) all_24_6 = all_12_2
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (619) implies:
% 56.24/8.63 | (620) all_24_6 = all_12_2
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (490), (491) imply:
% 56.24/8.63 | (621) all_24_7 = all_20_4
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (621) implies:
% 56.24/8.63 | (622) all_24_7 = all_20_4
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (491), (492) imply:
% 56.24/8.63 | (623) all_20_4 = all_12_6
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (486), (488) imply:
% 56.24/8.63 | (624) all_24_8 = all_12_10
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (486), (487) imply:
% 56.24/8.63 | (625) all_24_8 = all_20_14
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (483), (484) imply:
% 56.24/8.63 | (626) all_24_11 = all_20_13
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (626) implies:
% 56.24/8.63 | (627) all_24_11 = all_20_13
% 56.24/8.63 |
% 56.24/8.63 | COMBINE_EQS: (479), (480) imply:
% 56.24/8.63 | (628) all_24_12 = all_12_3
% 56.24/8.63 |
% 56.24/8.63 | SIMP: (628) implies:
% 56.24/8.64 | (629) all_24_12 = all_12_3
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (475), (476) imply:
% 56.24/8.64 | (630) all_24_13 = all_20_5
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (630) implies:
% 56.24/8.64 | (631) all_24_13 = all_20_5
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (471), (472) imply:
% 56.24/8.64 | (632) all_24_14 = all_12_11
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (632) implies:
% 56.24/8.64 | (633) all_24_14 = all_12_11
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (466), (467) imply:
% 56.24/8.64 | (634) all_24_15 = all_20_15
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (634) implies:
% 56.24/8.64 | (635) all_24_15 = all_20_15
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (467), (468) imply:
% 56.24/8.64 | (636) all_20_15 = all_16_15
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (585), (586) imply:
% 56.24/8.64 | (637) all_22_10 = all_8_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (637) implies:
% 56.24/8.64 | (638) all_22_10 = all_8_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (581), (582) imply:
% 56.24/8.64 | (639) all_22_3 = all_14_4
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (639) implies:
% 56.24/8.64 | (640) all_22_3 = all_14_4
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (572), (573) imply:
% 56.24/8.64 | (641) all_22_0 = e20
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (641) implies:
% 56.24/8.64 | (642) all_22_0 = e20
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (568), (569) imply:
% 56.24/8.64 | (643) all_22_12 = all_6_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (643) implies:
% 56.24/8.64 | (644) all_22_12 = all_6_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (578), (579) imply:
% 56.24/8.64 | (645) all_22_6 = all_14_8
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (645) implies:
% 56.24/8.64 | (646) all_22_6 = all_14_8
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (563), (564) imply:
% 56.24/8.64 | (647) all_22_7 = all_14_9
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (647) implies:
% 56.24/8.64 | (648) all_22_7 = all_14_9
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (555), (557) imply:
% 56.24/8.64 | (649) all_22_1 = all_14_2
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (555), (556) imply:
% 56.24/8.64 | (650) all_22_1 = all_18_8
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (552), (553) imply:
% 56.24/8.64 | (651) all_22_4 = all_18_9
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (552), (554) imply:
% 56.24/8.64 | (652) all_22_4 = all_14_6
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (550), (551) imply:
% 56.24/8.64 | (653) all_22_14 = all_4_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (653) implies:
% 56.24/8.64 | (654) all_22_14 = all_4_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (575), (576) imply:
% 56.24/8.64 | (655) all_22_9 = all_14_12
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (655) implies:
% 56.24/8.64 | (656) all_22_9 = all_14_12
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (560), (561) imply:
% 56.24/8.64 | (657) all_22_11 = all_14_13
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (657) implies:
% 56.24/8.64 | (658) all_22_11 = all_14_13
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (545), (546) imply:
% 56.24/8.64 | (659) all_22_13 = all_18_11
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (545), (547) imply:
% 56.24/8.64 | (660) all_22_13 = all_14_14
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (543), (544) imply:
% 56.24/8.64 | (661) all_22_2 = all_14_3
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (661) implies:
% 56.24/8.64 | (662) all_22_2 = all_14_3
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (540), (541) imply:
% 56.24/8.64 | (663) all_22_5 = all_18_13
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (663) implies:
% 56.24/8.64 | (664) all_22_5 = all_18_13
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (537), (538) imply:
% 56.24/8.64 | (665) all_22_8 = all_18_14
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (665) implies:
% 56.24/8.64 | (666) all_22_8 = all_18_14
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (534), (535) imply:
% 56.24/8.64 | (667) all_22_15 = all_14_15
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (667) implies:
% 56.24/8.64 | (668) all_22_15 = all_14_15
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (528), (602) imply:
% 56.24/8.64 | (669) all_20_10 = all_16_0
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (669) implies:
% 56.24/8.64 | (670) all_20_10 = all_16_0
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (525), (604) imply:
% 56.24/8.64 | (671) all_20_3 = all_16_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (671) implies:
% 56.24/8.64 | (672) all_20_3 = all_16_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (610), (612) imply:
% 56.24/8.64 | (673) all_20_0 = all_12_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (611), (612) imply:
% 56.24/8.64 | (674) all_20_0 = all_16_4
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (506), (614) imply:
% 56.24/8.64 | (675) all_20_12 = all_12_5
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (506), (507) imply:
% 56.24/8.64 | (676) all_20_12 = all_16_5
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (506), (508) imply:
% 56.24/8.64 | (677) all_20_12 = e13
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (605), (607) imply:
% 56.24/8.64 | (678) all_20_6 = all_12_8
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (606), (607) imply:
% 56.24/8.64 | (679) all_20_6 = all_16_2
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (503), (616) imply:
% 56.24/8.64 | (680) all_20_7 = all_16_6
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (680) implies:
% 56.24/8.64 | (681) all_20_7 = all_16_6
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (494), (620) imply:
% 56.24/8.64 | (682) all_20_1 = all_12_2
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (682) implies:
% 56.24/8.64 | (683) all_20_1 = all_12_2
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (489), (622) imply:
% 56.24/8.64 | (684) all_20_4 = all_16_9
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (684) implies:
% 56.24/8.64 | (685) all_20_4 = all_16_9
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (624), (625) imply:
% 56.24/8.64 | (686) all_20_14 = all_12_10
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (686) implies:
% 56.24/8.64 | (687) all_20_14 = all_12_10
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (516), (517) imply:
% 56.24/8.64 | (688) all_20_9 = all_16_3
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (688) implies:
% 56.24/8.64 | (689) all_20_9 = all_16_3
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (499), (618) imply:
% 56.24/8.64 | (690) all_20_11 = all_12_13
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (690) implies:
% 56.24/8.64 | (691) all_20_11 = all_12_13
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (482), (627) imply:
% 56.24/8.64 | (692) all_20_13 = all_12_14
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (481), (627) imply:
% 56.24/8.64 | (693) all_20_13 = all_16_11
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (477), (478) imply:
% 56.24/8.64 | (694) all_20_2 = all_16_12
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (477), (629) imply:
% 56.24/8.64 | (695) all_20_2 = all_12_3
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (474), (631) imply:
% 56.24/8.64 | (696) all_20_5 = all_12_7
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (473), (631) imply:
% 56.24/8.64 | (697) all_20_5 = all_16_13
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (470), (633) imply:
% 56.24/8.64 | (698) all_20_8 = all_12_11
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (698) implies:
% 56.24/8.64 | (699) all_20_8 = all_12_11
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (465), (635) imply:
% 56.24/8.64 | (700) all_20_15 = all_12_15
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (700) implies:
% 56.24/8.64 | (701) all_20_15 = all_12_15
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (571), (642) imply:
% 56.24/8.64 | (702) all_18_4 = e20
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (702) implies:
% 56.24/8.64 | (703) all_18_4 = e20
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (649), (650) imply:
% 56.24/8.64 | (704) all_18_8 = all_14_2
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (704) implies:
% 56.24/8.64 | (705) all_18_8 = all_14_2
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (542), (662) imply:
% 56.24/8.64 | (706) all_18_12 = all_14_3
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (706) implies:
% 56.24/8.64 | (707) all_18_12 = all_14_3
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (580), (640) imply:
% 56.24/8.64 | (708) all_18_1 = all_14_4
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (708) implies:
% 56.24/8.64 | (709) all_18_1 = all_14_4
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (651), (652) imply:
% 56.24/8.64 | (710) all_18_9 = all_14_6
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (539), (664) imply:
% 56.24/8.64 | (711) all_18_13 = all_14_7
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (711) implies:
% 56.24/8.64 | (712) all_18_13 = all_14_7
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (577), (646) imply:
% 56.24/8.64 | (713) all_18_2 = all_14_8
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (713) implies:
% 56.24/8.64 | (714) all_18_2 = all_14_8
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (562), (648) imply:
% 56.24/8.64 | (715) all_18_6 = all_14_9
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (715) implies:
% 56.24/8.64 | (716) all_18_6 = all_14_9
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (536), (666) imply:
% 56.24/8.64 | (717) all_18_14 = all_14_11
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (717) implies:
% 56.24/8.64 | (718) all_18_14 = all_14_11
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (574), (656) imply:
% 56.24/8.64 | (719) all_18_3 = all_14_12
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (719) implies:
% 56.24/8.64 | (720) all_18_3 = all_14_12
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (584), (638) imply:
% 56.24/8.64 | (721) all_18_0 = all_8_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (721) implies:
% 56.24/8.64 | (722) all_18_0 = all_8_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (559), (658) imply:
% 56.24/8.64 | (723) all_18_7 = all_14_13
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (723) implies:
% 56.24/8.64 | (724) all_18_7 = all_14_13
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (567), (644) imply:
% 56.24/8.64 | (725) all_18_5 = all_6_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (725) implies:
% 56.24/8.64 | (726) all_18_5 = all_6_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (659), (660) imply:
% 56.24/8.64 | (727) all_18_11 = all_14_14
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (727) implies:
% 56.24/8.64 | (728) all_18_11 = all_14_14
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (548), (549) imply:
% 56.24/8.64 | (729) all_18_10 = all_14_10
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (548), (654) imply:
% 56.24/8.64 | (730) all_18_10 = all_4_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (533), (668) imply:
% 56.24/8.64 | (731) all_18_15 = all_14_15
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (731) implies:
% 56.24/8.64 | (732) all_18_15 = all_14_15
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (673), (674) imply:
% 56.24/8.64 | (733) all_16_4 = all_12_1
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (733) implies:
% 56.24/8.64 | (734) all_16_4 = all_12_1
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (493), (683) imply:
% 56.24/8.64 | (735) all_16_8 = all_12_2
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (735) implies:
% 56.24/8.64 | (736) all_16_8 = all_12_2
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (694), (695) imply:
% 56.24/8.64 | (737) all_16_12 = all_12_3
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (737) implies:
% 56.24/8.64 | (738) all_16_12 = all_12_3
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (524), (672) imply:
% 56.24/8.64 | (739) all_16_1 = all_12_4
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (623), (685) imply:
% 56.24/8.64 | (740) all_16_9 = all_12_6
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (740) implies:
% 56.24/8.64 | (741) all_16_9 = all_12_6
% 56.24/8.64 |
% 56.24/8.64 | COMBINE_EQS: (696), (697) imply:
% 56.24/8.64 | (742) all_16_13 = all_12_7
% 56.24/8.64 |
% 56.24/8.64 | SIMP: (742) implies:
% 56.24/8.64 | (743) all_16_13 = all_12_7
% 56.24/8.64 |
% 56.24/8.65 | COMBINE_EQS: (678), (679) imply:
% 56.24/8.65 | (744) all_16_2 = all_12_8
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (744) implies:
% 56.24/8.65 | (745) all_16_2 = all_12_8
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (502), (681) imply:
% 56.24/8.65 | (746) all_16_6 = all_12_9
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (746) implies:
% 56.24/8.65 | (747) all_16_6 = all_12_9
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (469), (699) imply:
% 56.24/8.65 | (748) all_16_14 = all_12_11
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (748) implies:
% 56.24/8.65 | (749) all_16_14 = all_12_11
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (609), (689) imply:
% 56.24/8.65 | (750) all_16_3 = all_12_12
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (600), (670) imply:
% 56.24/8.65 | (751) all_16_0 = all_12_0
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (497), (498) imply:
% 56.24/8.65 | (752) all_16_7 = e11
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (497), (691) imply:
% 56.24/8.65 | (753) all_16_7 = all_12_13
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (676), (677) imply:
% 56.24/8.65 | (754) all_16_5 = e13
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (675), (676) imply:
% 56.24/8.65 | (755) all_16_5 = all_12_5
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (692), (693) imply:
% 56.24/8.65 | (756) all_16_11 = all_12_14
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (756) implies:
% 56.24/8.65 | (757) all_16_11 = all_12_14
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (485), (687) imply:
% 56.24/8.65 | (758) all_16_10 = all_12_10
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (758) implies:
% 56.24/8.65 | (759) all_16_10 = all_12_10
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (636), (701) imply:
% 56.24/8.65 | (760) all_16_15 = all_12_15
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (760) implies:
% 56.24/8.65 | (761) all_16_15 = all_12_15
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (583), (722) imply:
% 56.24/8.65 | (762) all_14_0 = all_8_1
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (762) implies:
% 56.24/8.65 | (763) all_14_0 = all_8_1
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (570), (703) imply:
% 56.24/8.65 | (764) all_14_1 = e20
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (764) implies:
% 56.24/8.65 | (765) all_14_1 = e20
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (566), (726) imply:
% 56.24/8.65 | (766) all_14_5 = all_6_1
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (766) implies:
% 56.24/8.65 | (767) all_14_5 = all_6_1
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (558), (724) imply:
% 56.24/8.65 | (768) all_14_13 = e21
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (729), (730) imply:
% 56.24/8.65 | (769) all_14_10 = all_4_1
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (532), (732) imply:
% 56.24/8.65 | (770) all_14_15 = all_10_1
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (511), (734) imply:
% 56.24/8.65 | (771) all_12_1 = e10
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (771) implies:
% 56.24/8.65 | (772) all_12_1 = e10
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (754), (755) imply:
% 56.24/8.65 | (773) all_12_5 = e13
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (773) implies:
% 56.24/8.65 | (774) all_12_5 = e13
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (752), (753) imply:
% 56.24/8.65 | (775) all_12_13 = e11
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (565), (767) imply:
% 56.24/8.65 | (776) all_6_1 = e23
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (673), (772) imply:
% 56.24/8.65 | (777) all_20_0 = e10
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (668), (770) imply:
% 56.24/8.65 | (778) all_22_15 = all_10_1
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (644), (776) imply:
% 56.24/8.65 | (779) all_22_12 = e23
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (658), (768) imply:
% 56.24/8.65 | (780) all_22_11 = e21
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (618), (775) imply:
% 56.24/8.65 | (781) all_24_10 = e11
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (517), (750) imply:
% 56.24/8.65 | (782) all_24_9 = all_12_12
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (489), (741) imply:
% 56.24/8.65 | (783) all_24_7 = all_12_6
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (616), (747) imply:
% 56.24/8.65 | (784) all_24_5 = all_12_9
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (612), (777) imply:
% 56.24/8.65 | (785) all_24_2 = e10
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (604), (739) imply:
% 56.24/8.65 | (786) all_24_1 = all_12_4
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (528), (751) imply:
% 56.24/8.65 | (787) all_24_0 = all_12_0
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (535), (770) imply:
% 56.24/8.65 | (788) all_26_15 = all_10_1
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (538), (718) imply:
% 56.24/8.65 | (789) all_26_14 = all_14_11
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (541), (712) imply:
% 56.24/8.65 | (790) all_26_13 = all_14_7
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (561), (768) imply:
% 56.24/8.65 | (791) all_26_10 = e21
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (569), (776) imply:
% 56.24/8.65 | (792) all_26_3 = e23
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (467), (701) imply:
% 56.24/8.65 | (793) all_28_159 = all_12_15
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (476), (696) imply:
% 56.24/8.65 | (794) all_28_151 = all_12_7
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (484), (692) imply:
% 56.24/8.65 | (795) all_28_143 = all_12_14
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (501), (775) imply:
% 56.24/8.65 | (796) all_28_131 = e11
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (505), (747) imply:
% 56.24/8.65 | (797) all_28_128 = all_12_9
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (510), (774) imply:
% 56.24/8.65 | (798) all_28_125 = e13
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (512), (785) imply:
% 56.24/8.65 | (799) all_28_122 = e10
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (527), (739) imply:
% 56.24/8.65 | (800) all_28_113 = all_12_4
% 56.24/8.65 |
% 56.24/8.65 | COMBINE_EQS: (595), (776) imply:
% 56.24/8.65 | (801) all_28_61 = e23
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (170), (763), (765) imply:
% 56.24/8.65 | (802) ~ (all_8_1 = e20)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (169), (763) imply:
% 56.24/8.65 | (803) ~ (all_14_2 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (803) implies:
% 56.24/8.65 | (804) ~ (all_14_2 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (168), (763) imply:
% 56.24/8.65 | (805) ~ (all_14_3 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (805) implies:
% 56.24/8.65 | (806) ~ (all_14_3 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (167), (763) imply:
% 56.24/8.65 | (807) ~ (all_14_4 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (807) implies:
% 56.24/8.65 | (808) ~ (all_14_4 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (166), (763) imply:
% 56.24/8.65 | (809) ~ (all_14_8 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (809) implies:
% 56.24/8.65 | (810) ~ (all_14_8 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (165), (763) imply:
% 56.24/8.65 | (811) ~ (all_14_12 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (811) implies:
% 56.24/8.65 | (812) ~ (all_14_12 = all_8_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (164), (765) imply:
% 56.24/8.65 | (813) ~ (all_14_2 = e20)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (813) implies:
% 56.24/8.65 | (814) ~ (all_14_2 = e20)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (163), (765) imply:
% 56.24/8.65 | (815) ~ (all_14_3 = e20)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (815) implies:
% 56.24/8.65 | (816) ~ (all_14_3 = e20)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (162), (565), (765) imply:
% 56.24/8.65 | (817) ~ (e23 = e20)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (817) implies:
% 56.24/8.65 | (818) ~ (e23 = e20)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (161), (765) imply:
% 56.24/8.65 | (819) ~ (all_14_9 = e20)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (819) implies:
% 56.24/8.65 | (820) ~ (all_14_9 = e20)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (160), (765), (768) imply:
% 56.24/8.65 | (821) ~ (e21 = e20)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (821) implies:
% 56.24/8.65 | (822) ~ (e21 = e20)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (157), (769) imply:
% 56.24/8.65 | (823) ~ (all_14_2 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (153), (770) imply:
% 56.24/8.65 | (824) ~ (all_14_3 = all_10_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (152), (565) imply:
% 56.24/8.65 | (825) ~ (all_14_4 = e23)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (147), (565) imply:
% 56.24/8.65 | (826) ~ (all_14_6 = e23)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (826) implies:
% 56.24/8.65 | (827) ~ (all_14_6 = e23)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (146), (565) imply:
% 56.24/8.65 | (828) ~ (all_14_7 = e23)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (828) implies:
% 56.24/8.65 | (829) ~ (all_14_7 = e23)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (145), (565) imply:
% 56.24/8.65 | (830) ~ (all_14_9 = e23)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (830) implies:
% 56.24/8.65 | (831) ~ (all_14_9 = e23)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (144), (565), (768) imply:
% 56.24/8.65 | (832) ~ (e23 = e21)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (142), (769) imply:
% 56.24/8.65 | (833) ~ (all_14_6 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (139), (770) imply:
% 56.24/8.65 | (834) ~ (all_14_7 = all_10_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (137), (769) imply:
% 56.24/8.65 | (835) ~ (all_14_8 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (134), (769) imply:
% 56.24/8.65 | (836) ~ (all_14_9 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (132), (768) imply:
% 56.24/8.65 | (837) ~ (all_14_9 = e21)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (131), (769) imply:
% 56.24/8.65 | (838) ~ (all_14_11 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (838) implies:
% 56.24/8.65 | (839) ~ (all_14_11 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (130), (769) imply:
% 56.24/8.65 | (840) ~ (all_14_14 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | SIMP: (840) implies:
% 56.24/8.65 | (841) ~ (all_14_14 = all_4_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (129), (770) imply:
% 56.24/8.65 | (842) ~ (all_14_11 = all_10_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (128), (768) imply:
% 56.24/8.65 | (843) ~ (all_14_12 = e21)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (126), (770) imply:
% 56.24/8.65 | (844) ~ (all_14_12 = all_10_1)
% 56.24/8.65 |
% 56.24/8.65 | REDUCE: (125), (768) imply:
% 56.24/8.65 | (845) ~ (all_14_14 = e21)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (845) implies:
% 56.24/8.66 | (846) ~ (all_14_14 = e21)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (124), (768), (770) imply:
% 56.24/8.66 | (847) ~ (all_10_1 = e21)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (847) implies:
% 56.24/8.66 | (848) ~ (all_10_1 = e21)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (123), (770) imply:
% 56.24/8.66 | (849) ~ (all_14_14 = all_10_1)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (105), (772) imply:
% 56.24/8.66 | (850) ~ (all_12_0 = e10)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (99), (772) imply:
% 56.24/8.66 | (851) ~ (all_12_2 = e10)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (851) implies:
% 56.24/8.66 | (852) ~ (all_12_2 = e10)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (98), (772) imply:
% 56.24/8.66 | (853) ~ (all_12_3 = e10)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (853) implies:
% 56.24/8.66 | (854) ~ (all_12_3 = e10)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (97), (772), (774) imply:
% 56.24/8.66 | (855) ~ (e13 = e10)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (855) implies:
% 56.24/8.66 | (856) ~ (e13 = e10)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (96), (772) imply:
% 56.24/8.66 | (857) ~ (all_12_9 = e10)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (857) implies:
% 56.24/8.66 | (858) ~ (all_12_9 = e10)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (88), (774) imply:
% 56.24/8.66 | (859) ~ (all_12_4 = e13)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (83), (774) imply:
% 56.24/8.66 | (860) ~ (all_12_6 = e13)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (860) implies:
% 56.24/8.66 | (861) ~ (all_12_6 = e13)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (82), (774) imply:
% 56.24/8.66 | (862) ~ (all_12_7 = e13)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (862) implies:
% 56.24/8.66 | (863) ~ (all_12_7 = e13)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (81), (774) imply:
% 56.24/8.66 | (864) ~ (all_12_9 = e13)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (864) implies:
% 56.24/8.66 | (865) ~ (all_12_9 = e13)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (69), (775) imply:
% 56.24/8.66 | (866) ~ (all_12_9 = e11)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (65), (775) imply:
% 56.24/8.66 | (867) ~ (all_12_12 = e11)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (62), (775) imply:
% 56.24/8.66 | (868) ~ (all_12_14 = e11)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (868) implies:
% 56.24/8.66 | (869) ~ (all_12_14 = e11)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (61), (775) imply:
% 56.24/8.66 | (870) ~ (all_12_15 = e11)
% 56.24/8.66 |
% 56.24/8.66 | SIMP: (870) implies:
% 56.24/8.66 | (871) ~ (all_12_15 = e11)
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (462), (531) imply:
% 56.24/8.66 | (872) h4(all_12_0) = all_28_1
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (461), (800) imply:
% 56.24/8.66 | (873) h4(all_12_4) = all_28_3
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (460), (523) imply:
% 56.24/8.66 | (874) h4(all_12_8) = all_28_5
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (459), (519) imply:
% 56.24/8.66 | (875) h4(all_12_12) = all_28_7
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (458), (799) imply:
% 56.24/8.66 | (876) h4(e10) = all_28_9
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (457), (798) imply:
% 56.24/8.66 | (877) h4(e13) = all_28_11
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (456), (797) imply:
% 56.24/8.66 | (878) h4(all_12_9) = all_28_13
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (455), (796) imply:
% 56.24/8.66 | (879) h4(e11) = all_28_15
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (454), (496) imply:
% 56.24/8.66 | (880) h4(all_12_2) = all_28_17
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (453), (492) imply:
% 56.24/8.66 | (881) h4(all_12_6) = all_28_19
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (452), (488) imply:
% 56.24/8.66 | (882) h4(all_12_10) = all_28_21
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (451), (795) imply:
% 56.24/8.66 | (883) h4(all_12_14) = all_28_23
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (450), (480) imply:
% 56.24/8.66 | (884) h4(all_12_3) = all_28_26
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (449), (794) imply:
% 56.24/8.66 | (885) h4(all_12_7) = all_28_29
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (448), (472) imply:
% 56.24/8.66 | (886) h4(all_12_11) = all_28_32
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (447), (793) imply:
% 56.24/8.66 | (887) h4(all_12_15) = all_28_35
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (442), (531) imply:
% 56.24/8.66 | (888) h3(all_12_0) = all_28_37
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (441), (800) imply:
% 56.24/8.66 | (889) h3(all_12_4) = all_28_39
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (440), (523) imply:
% 56.24/8.66 | (890) h3(all_12_8) = all_28_41
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (439), (519) imply:
% 56.24/8.66 | (891) h3(all_12_12) = all_28_43
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (438), (799) imply:
% 56.24/8.66 | (892) h3(e10) = all_28_45
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (437), (798) imply:
% 56.24/8.66 | (893) h3(e13) = all_28_47
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (436), (797) imply:
% 56.24/8.66 | (894) h3(all_12_9) = all_28_49
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (435), (796) imply:
% 56.24/8.66 | (895) h3(e11) = all_28_51
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (434), (496) imply:
% 56.24/8.66 | (896) h3(all_12_2) = all_28_53
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (433), (492) imply:
% 56.24/8.66 | (897) h3(all_12_6) = all_28_55
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (432), (488) imply:
% 56.24/8.66 | (898) h3(all_12_10) = all_28_57
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (431), (795) imply:
% 56.24/8.66 | (899) h3(all_12_14) = all_28_59
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (430), (480) imply:
% 56.24/8.66 | (900) h3(all_12_3) = all_28_62
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (429), (794) imply:
% 56.24/8.66 | (901) h3(all_12_7) = all_28_65
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (428), (472) imply:
% 56.24/8.66 | (902) h3(all_12_11) = all_28_68
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (427), (793) imply:
% 56.24/8.66 | (903) h3(all_12_15) = all_28_71
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (43), (776) imply:
% 56.24/8.66 | (904) h3(e13) = e23
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (417), (599) imply:
% 56.24/8.66 | (905) op2(all_8_1, all_8_1) = all_28_0
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (416), (598), (599) imply:
% 56.24/8.66 | (906) op2(all_8_1, e23) = all_28_2
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (415), (597), (599) imply:
% 56.24/8.66 | (907) op2(all_8_1, all_8_0) = all_28_4
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (414), (596), (599) imply:
% 56.24/8.66 | (908) op2(all_8_1, all_8_2) = all_28_6
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (413), (598), (599) imply:
% 56.24/8.66 | (909) op2(e23, all_8_1) = all_28_8
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (412), (598) imply:
% 56.24/8.66 | (910) op2(e23, e23) = all_28_10
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (411), (597), (598) imply:
% 56.24/8.66 | (911) op2(e23, all_8_0) = all_28_12
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (410), (596), (598) imply:
% 56.24/8.66 | (912) op2(e23, all_8_2) = all_28_14
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (409), (597), (599) imply:
% 56.24/8.66 | (913) op2(all_8_0, all_8_1) = all_28_16
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (408), (597), (598) imply:
% 56.24/8.66 | (914) op2(all_8_0, e23) = all_28_18
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (407), (597) imply:
% 56.24/8.66 | (915) op2(all_8_0, all_8_0) = all_28_20
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (406), (596), (597) imply:
% 56.24/8.66 | (916) op2(all_8_0, all_8_2) = all_28_22
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (405), (596), (599) imply:
% 56.24/8.66 | (917) op2(all_8_2, all_8_1) = all_28_24
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (404), (596), (598) imply:
% 56.24/8.66 | (918) op2(all_8_2, e23) = all_28_27
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (403), (596), (597) imply:
% 56.24/8.66 | (919) op2(all_8_2, all_8_0) = all_28_30
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (402), (596) imply:
% 56.24/8.66 | (920) op2(all_8_2, all_8_2) = all_28_33
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (401), (801) imply:
% 56.24/8.66 | (921) op2(e23, e23) = all_28_36
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (400), (594), (801) imply:
% 56.24/8.66 | (922) op2(e23, e22) = all_28_38
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (399), (593), (801) imply:
% 56.24/8.66 | (923) op2(e23, all_6_0) = all_28_40
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (398), (592), (801) imply:
% 56.24/8.66 | (924) op2(e23, all_6_2) = all_28_42
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (397), (594), (801) imply:
% 56.24/8.66 | (925) op2(e22, e23) = all_28_44
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (396), (594) imply:
% 56.24/8.66 | (926) op2(e22, e22) = all_28_46
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (395), (593), (594) imply:
% 56.24/8.66 | (927) op2(e22, all_6_0) = all_28_48
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (394), (592), (594) imply:
% 56.24/8.66 | (928) op2(e22, all_6_2) = all_28_50
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (393), (593), (801) imply:
% 56.24/8.66 | (929) op2(all_6_0, e23) = all_28_52
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (392), (593), (594) imply:
% 56.24/8.66 | (930) op2(all_6_0, e22) = all_28_54
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (391), (593) imply:
% 56.24/8.66 | (931) op2(all_6_0, all_6_0) = all_28_56
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (390), (592), (593) imply:
% 56.24/8.66 | (932) op2(all_6_0, all_6_2) = all_28_58
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (389), (592), (801) imply:
% 56.24/8.66 | (933) op2(all_6_2, e23) = all_28_60
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (388), (592), (594) imply:
% 56.24/8.66 | (934) op2(all_6_2, e22) = all_28_63
% 56.24/8.66 |
% 56.24/8.66 | REDUCE: (387), (592), (593) imply:
% 56.24/8.67 | (935) op2(all_6_2, all_6_0) = all_28_66
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (386), (592) imply:
% 56.24/8.67 | (936) op2(all_6_2, all_6_2) = all_28_69
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (385), (591) imply:
% 56.24/8.67 | (937) op2(all_4_1, all_4_1) = all_28_72
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (384), (590) imply:
% 56.24/8.67 | (938) op2(e21, e21) = all_28_82
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (383), (589) imply:
% 56.24/8.67 | (939) op2(all_10_1, all_10_1) = all_28_108
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (382), (588), (589) imply:
% 56.24/8.67 | (940) op2(all_10_1, e20) = all_28_111
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (381), (587), (589) imply:
% 56.24/8.67 | (941) op2(all_10_1, all_10_2) = all_28_117
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (380), (588), (589) imply:
% 56.24/8.67 | (942) op2(e20, all_10_1) = all_28_120
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (379), (588) imply:
% 56.24/8.67 | (943) op2(e20, e20) = all_28_123
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (378), (587), (588) imply:
% 56.24/8.67 | (944) op2(e20, all_10_2) = all_28_129
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (377), (587), (589) imply:
% 56.24/8.67 | (945) op2(all_10_2, all_10_1) = all_28_144
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (376), (587), (588) imply:
% 56.24/8.67 | (946) op2(all_10_2, e20) = all_28_148
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (375), (587) imply:
% 56.24/8.67 | (947) op2(all_10_2, all_10_2) = all_28_156
% 56.24/8.67 |
% 56.24/8.67 | REDUCE: (39), (776) imply:
% 56.24/8.67 | (948) op2(e22, e23) = all_6_2
% 56.24/8.67 |
% 56.24/8.67 | BETA: splitting (312) gives:
% 56.24/8.67 |
% 56.24/8.67 | Case 1:
% 56.24/8.67 | |
% 56.24/8.67 | | (949) all_24_2 = e12
% 56.24/8.67 | |
% 56.24/8.67 | | COMBINE_EQS: (785), (949) imply:
% 56.24/8.67 | | (950) e12 = e10
% 56.24/8.67 | |
% 56.24/8.67 | | REDUCE: (7), (950) imply:
% 56.24/8.67 | | (951) $false
% 56.24/8.67 | |
% 56.24/8.67 | | CLOSE: (951) is inconsistent.
% 56.24/8.67 | |
% 56.24/8.67 | Case 2:
% 56.24/8.67 | |
% 56.24/8.67 | | (952) all_24_3 = e12 | all_24_5 = e12 | all_24_10 = e12
% 56.24/8.67 | |
% 56.24/8.67 | | BETA: splitting (952) gives:
% 56.24/8.67 | |
% 56.24/8.67 | | Case 1:
% 56.24/8.67 | | |
% 56.24/8.67 | | | (953) all_24_3 = e12
% 56.24/8.67 | | |
% 56.24/8.67 | | | REF_CLOSE: (9), (508), (953) are inconsistent by sub-proof #135.
% 56.24/8.67 | | |
% 56.24/8.67 | | Case 2:
% 56.24/8.67 | | |
% 56.24/8.67 | | | (954) all_24_5 = e12 | all_24_10 = e12
% 56.24/8.67 | | |
% 56.24/8.67 | | | BETA: splitting (954) gives:
% 56.24/8.67 | | |
% 56.24/8.67 | | | Case 1:
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | (955) all_24_5 = e12
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | COMBINE_EQS: (784), (955) imply:
% 56.24/8.67 | | | | (956) all_12_9 = e12
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | SIMP: (956) implies:
% 56.24/8.67 | | | | (957) all_12_9 = e12
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | REDUCE: (75), (957) imply:
% 56.24/8.67 | | | | (958) ~ (all_12_8 = e12)
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | REDUCE: (71), (957) imply:
% 56.24/8.67 | | | | (959) ~ (all_12_10 = e12)
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | SIMP: (959) implies:
% 56.24/8.67 | | | | (960) ~ (all_12_10 = e12)
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | REDUCE: (70), (957) imply:
% 56.24/8.67 | | | | (961) ~ (all_12_11 = e12)
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | SIMP: (961) implies:
% 56.24/8.67 | | | | (962) ~ (all_12_11 = e12)
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | REDUCE: (865), (957) imply:
% 56.24/8.67 | | | | (963) ~ (e13 = e12)
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | REDUCE: (878), (957) imply:
% 56.24/8.67 | | | | (964) h4(e12) = all_28_13
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | REDUCE: (894), (957) imply:
% 56.24/8.67 | | | | (965) h3(e12) = all_28_49
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | BETA: splitting (348) gives:
% 56.24/8.67 | | | |
% 56.24/8.67 | | | | Case 1:
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | (966) all_26_2 = e22
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | COMBINE_EQS: (573), (966) imply:
% 56.24/8.67 | | | | | (967) e22 = e20
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | SIMP: (967) implies:
% 56.24/8.67 | | | | | (968) e22 = e20
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | REDUCE: (10), (968) imply:
% 56.24/8.67 | | | | | (969) $false
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | CLOSE: (969) is inconsistent.
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | Case 2:
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | (970) all_26_3 = e22 | all_26_5 = e22 | all_26_10 = e22
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | BETA: splitting (970) gives:
% 56.24/8.67 | | | | |
% 56.24/8.67 | | | | | Case 1:
% 56.24/8.67 | | | | | |
% 56.24/8.67 | | | | | | (971) all_26_3 = e22
% 56.24/8.67 | | | | | |
% 56.24/8.67 | | | | | | REF_CLOSE: (12), (792), (971) are inconsistent by sub-proof #134.
% 56.24/8.67 | | | | | |
% 56.24/8.67 | | | | | Case 2:
% 56.24/8.67 | | | | | |
% 56.24/8.67 | | | | | | (972) all_26_5 = e22 | all_26_10 = e22
% 56.24/8.67 | | | | | |
% 56.24/8.67 | | | | | | BETA: splitting (972) gives:
% 56.24/8.67 | | | | | |
% 56.24/8.67 | | | | | | Case 1:
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | (973) all_26_5 = e22
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | COMBINE_EQS: (564), (973) imply:
% 56.24/8.67 | | | | | | | (974) all_14_9 = e22
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | SIMP: (974) implies:
% 56.24/8.67 | | | | | | | (975) all_14_9 = e22
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | REDUCE: (138), (975) imply:
% 56.24/8.67 | | | | | | | (976) ~ (all_14_8 = e22)
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | REDUCE: (133), (975) imply:
% 56.24/8.67 | | | | | | | (977) ~ (all_14_11 = e22)
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | SIMP: (977) implies:
% 56.24/8.67 | | | | | | | (978) ~ (all_14_11 = e22)
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | REDUCE: (836), (975) imply:
% 56.24/8.67 | | | | | | | (979) ~ (all_4_1 = e22)
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | SIMP: (979) implies:
% 56.24/8.67 | | | | | | | (980) ~ (all_4_1 = e22)
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | REDUCE: (831), (975) imply:
% 56.24/8.67 | | | | | | | (981) ~ (e23 = e22)
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | REDUCE: (180), (975) imply:
% 56.24/8.67 | | | | | | | (982) op2(e22, e21) = e22
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_10_1, all_28_123, e20,
% 56.24/8.67 | | | | | | | e20, simplifying with (53), (943) gives:
% 56.24/8.67 | | | | | | | (983) all_28_123 = all_10_1
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_10_0, all_28_129,
% 56.24/8.67 | | | | | | | all_10_2, e20, simplifying with (54), (944) gives:
% 56.24/8.67 | | | | | | | (984) all_28_129 = all_10_0
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_10_2, all_28_120,
% 56.24/8.67 | | | | | | | all_10_1, e20, simplifying with (55), (942) gives:
% 56.24/8.67 | | | | | | | (985) all_28_120 = all_10_2
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_4_1, all_28_82, e21, e21,
% 56.24/8.67 | | | | | | | simplifying with (33), (938) gives:
% 56.24/8.67 | | | | | | | (986) all_28_82 = all_4_1
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_46, e22, e22,
% 56.24/8.67 | | | | | | | simplifying with (19), (926) gives:
% 56.24/8.67 | | | | | | | (987) all_28_46 = e23
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_44, e23, e22,
% 56.24/8.67 | | | | | | | simplifying with (20), (925) gives:
% 56.24/8.67 | | | | | | | (988) all_28_44 = e20
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_6_2, all_28_44, e23, e22,
% 56.24/8.67 | | | | | | | simplifying with (925), (948) gives:
% 56.24/8.67 | | | | | | | (989) all_28_44 = all_6_2
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_6_0, all_28_50, all_6_2,
% 56.24/8.67 | | | | | | | e22, simplifying with (38), (928) gives:
% 56.24/8.67 | | | | | | | (990) all_28_50 = all_6_0
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_14_4, all_28_38, e22,
% 56.24/8.67 | | | | | | | e23, simplifying with (185), (922) gives:
% 56.24/8.67 | | | | | | | (991) all_28_38 = all_14_4
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_8_1, all_28_10, e23, e23,
% 56.24/8.67 | | | | | | | simplifying with (45), (910) gives:
% 56.24/8.67 | | | | | | | (992) all_28_10 = all_8_1
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_28_36, all_28_10, e23,
% 56.24/8.67 | | | | | | | e23, simplifying with (910), (921) gives:
% 56.24/8.67 | | | | | | | (993) all_28_10 = all_28_36
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_8_0, all_28_14, all_8_2,
% 56.24/8.67 | | | | | | | e23, simplifying with (46), (912) gives:
% 56.24/8.67 | | | | | | | (994) all_28_14 = all_8_0
% 56.24/8.67 | | | | | | |
% 56.24/8.67 | | | | | | | GROUND_INST: instantiating (31) with all_8_2, all_28_8, all_8_1,
% 56.24/8.67 | | | | | | | e23, simplifying with (47), (909) gives:
% 56.24/8.68 | | | | | | | (995) all_28_8 = all_8_2
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (28) with all_6_2, all_28_45, e10,
% 56.24/8.68 | | | | | | | simplifying with (40), (892) gives:
% 56.24/8.68 | | | | | | | (996) all_28_45 = all_6_2
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (28) with all_6_0, all_28_51, e11,
% 56.24/8.68 | | | | | | | simplifying with (41), (895) gives:
% 56.24/8.68 | | | | | | | (997) all_28_51 = all_6_0
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (28) with e22, all_28_49, e12,
% 56.24/8.68 | | | | | | | simplifying with (42), (965) gives:
% 56.24/8.68 | | | | | | | (998) all_28_49 = e22
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (28) with e23, all_28_47, e13,
% 56.24/8.68 | | | | | | | simplifying with (893), (904) gives:
% 56.24/8.68 | | | | | | | (999) all_28_47 = e23
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (29) with all_8_2, all_28_9, e10,
% 56.24/8.68 | | | | | | | simplifying with (48), (876) gives:
% 56.24/8.68 | | | | | | | (1000) all_28_9 = all_8_2
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (29) with all_8_0, all_28_15, e11,
% 56.24/8.68 | | | | | | | simplifying with (49), (879) gives:
% 56.24/8.68 | | | | | | | (1001) all_28_15 = all_8_0
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_13, e12,
% 56.24/8.68 | | | | | | | simplifying with (50), (964) gives:
% 56.24/8.68 | | | | | | | (1002) all_28_13 = e23
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (29) with all_8_1, all_28_11, e13,
% 56.24/8.68 | | | | | | | simplifying with (51), (877) gives:
% 56.24/8.68 | | | | | | | (1003) all_28_11 = all_8_1
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (992), (993) imply:
% 56.24/8.68 | | | | | | | (1004) all_28_36 = all_8_1
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (988), (989) imply:
% 56.24/8.68 | | | | | | | (1005) all_6_2 = e20
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (592), (1005) imply:
% 56.24/8.68 | | | | | | | (1006) all_28_70 = e20
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (996), (1005) imply:
% 56.24/8.68 | | | | | | | (1007) all_28_45 = e20
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (40), (1005) imply:
% 56.24/8.68 | | | | | | | (1008) h3(e10) = e20
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (932), (1005) imply:
% 56.24/8.68 | | | | | | | (1009) op2(all_6_0, e20) = all_28_58
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (935), (1005) imply:
% 56.24/8.68 | | | | | | | (1010) op2(e20, all_6_0) = all_28_66
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (936), (1005) imply:
% 56.24/8.68 | | | | | | | (1011) op2(e20, e20) = all_28_69
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (933), (1005) imply:
% 56.24/8.68 | | | | | | | (1012) op2(e20, e23) = all_28_60
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (934), (1005) imply:
% 56.24/8.68 | | | | | | | (1013) op2(e20, e22) = all_28_63
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (924), (1005) imply:
% 56.24/8.68 | | | | | | | (1014) op2(e23, e20) = all_28_42
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (38), (1005) imply:
% 56.24/8.68 | | | | | | | (1015) op2(e22, e20) = all_6_0
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_10_1, all_28_69, e20,
% 56.24/8.68 | | | | | | | e20, simplifying with (53), (1011) gives:
% 56.24/8.68 | | | | | | | (1016) all_28_69 = all_10_1
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_7, all_28_63, e22,
% 56.24/8.68 | | | | | | | e20, simplifying with (173), (1013) gives:
% 56.24/8.68 | | | | | | | (1017) all_28_63 = all_14_7
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_3, all_28_60, e23,
% 56.24/8.68 | | | | | | | e20, simplifying with (174), (1012) gives:
% 56.24/8.68 | | | | | | | (1018) all_28_60 = all_14_3
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with e21, all_6_0, e20, e22,
% 56.24/8.68 | | | | | | | simplifying with (18), (1015) gives:
% 56.24/8.68 | | | | | | | (1019) all_6_0 = e21
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_12, all_28_42, e20,
% 56.24/8.68 | | | | | | | e23, simplifying with (183), (1014) gives:
% 56.24/8.68 | | | | | | | (1020) all_28_42 = all_14_12
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (593), (1019) imply:
% 56.24/8.68 | | | | | | | (1021) all_28_67 = e21
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (997), (1019) imply:
% 56.24/8.68 | | | | | | | (1022) all_28_51 = e21
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | COMBINE_EQS: (990), (1019) imply:
% 56.24/8.68 | | | | | | | (1023) all_28_50 = e21
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (41), (1019) imply:
% 56.24/8.68 | | | | | | | (1024) h3(e11) = e21
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (931), (1019) imply:
% 56.24/8.68 | | | | | | | (1025) op2(e21, e21) = all_28_56
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (929), (1019) imply:
% 56.24/8.68 | | | | | | | (1026) op2(e21, e23) = all_28_52
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (930), (1019) imply:
% 56.24/8.68 | | | | | | | (1027) op2(e21, e22) = all_28_54
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (1009), (1019) imply:
% 56.24/8.68 | | | | | | | (1028) op2(e21, e20) = all_28_58
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (923), (1019) imply:
% 56.24/8.68 | | | | | | | (1029) op2(e23, e21) = all_28_40
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (927), (1019) imply:
% 56.24/8.68 | | | | | | | (1030) op2(e22, e21) = all_28_48
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | REDUCE: (1010), (1019) imply:
% 56.24/8.68 | | | | | | | (1031) op2(e20, e21) = all_28_66
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_11, all_28_66, e21,
% 56.24/8.68 | | | | | | | e20, simplifying with (172), (1031) gives:
% 56.24/8.68 | | | | | | | (1032) all_28_66 = all_14_11
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_14, all_28_58, e20,
% 56.24/8.68 | | | | | | | e21, simplifying with (175), (1028) gives:
% 56.24/8.68 | | | | | | | (1033) all_28_58 = all_14_14
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_4_1, all_28_56, e21, e21,
% 56.24/8.68 | | | | | | | simplifying with (33), (1025) gives:
% 56.24/8.68 | | | | | | | (1034) all_28_56 = all_4_1
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_6, all_28_54, e22,
% 56.24/8.68 | | | | | | | e21, simplifying with (177), (1027) gives:
% 56.24/8.68 | | | | | | | (1035) all_28_54 = all_14_6
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_2, all_28_52, e23,
% 56.24/8.68 | | | | | | | e21, simplifying with (178), (1026) gives:
% 56.24/8.68 | | | | | | | (1036) all_28_52 = all_14_2
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_48, e21, e22,
% 56.24/8.68 | | | | | | | simplifying with (982), (1030) gives:
% 56.24/8.68 | | | | | | | (1037) all_28_48 = e22
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | GROUND_INST: instantiating (31) with all_14_8, all_28_40, e21,
% 56.24/8.68 | | | | | | | e23, simplifying with (184), (1029) gives:
% 56.24/8.68 | | | | | | | (1038) all_28_40 = all_14_8
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | BETA: splitting (299) gives:
% 56.24/8.68 | | | | | | |
% 56.24/8.68 | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | (1039) all_24_15 = e10
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | COMBINE_EQS: (465), (1039) imply:
% 56.24/8.68 | | | | | | | | (1040) all_12_15 = e10
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | SIMP: (1040) implies:
% 56.24/8.68 | | | | | | | | (1041) all_12_15 = e10
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | COMBINE_EQS: (701), (1041) imply:
% 56.24/8.68 | | | | | | | | (1042) all_20_15 = e10
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | REDUCE: (76), (1041) imply:
% 56.24/8.68 | | | | | | | | (1043) ~ (all_12_7 = e10)
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | REDUCE: (66), (1041) imply:
% 56.24/8.68 | | | | | | | | (1044) ~ (all_12_11 = e10)
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | REDUCE: (63), (1041) imply:
% 56.24/8.68 | | | | | | | | (1045) ~ (all_12_12 = e10)
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | REDUCE: (60), (1041) imply:
% 56.24/8.68 | | | | | | | | (1046) ~ (all_12_14 = e10)
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | REDUCE: (887), (1041) imply:
% 56.24/8.68 | | | | | | | | (1047) h4(e10) = all_28_35
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | REDUCE: (903), (1041) imply:
% 56.24/8.68 | | | | | | | | (1048) h3(e10) = all_28_71
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | BETA: splitting (261) gives:
% 56.24/8.68 | | | | | | | |
% 56.24/8.68 | | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | | (1049) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0
% 56.24/8.68 | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11)
% 56.24/8.68 | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10)) |
% 56.24/8.68 | | | | | | | | | (all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3
% 56.24/8.68 | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11)
% 56.24/8.68 | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10))
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | | BETA: splitting (1049) gives:
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | (1050) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0
% 56.24/8.68 | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11)
% 56.24/8.68 | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | ALPHA: (1050) implies:
% 56.24/8.68 | | | | | | | | | | (1051) ~ (all_20_12 = e13) | all_20_0 = e12
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REF_CLOSE: (7), (677), (777), (1051) are inconsistent by
% 56.24/8.68 | | | | | | | | | | sub-proof #133.
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | Case 2:
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | (1052) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3
% 56.24/8.68 | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11)
% 56.24/8.68 | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REF_CLOSE: (9), (677), (1052) are inconsistent by sub-proof
% 56.24/8.68 | | | | | | | | | | #132.
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | End of split
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | Case 2:
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | | (1053) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6
% 56.24/8.68 | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12)
% 56.24/8.68 | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10)) |
% 56.24/8.68 | | | | | | | | | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9
% 56.24/8.68 | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 =
% 56.24/8.68 | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11))
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | | BETA: splitting (1053) gives:
% 56.24/8.68 | | | | | | | | |
% 56.24/8.68 | | | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | (1054) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6
% 56.24/8.68 | | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12)
% 56.24/8.68 | | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | ALPHA: (1054) implies:
% 56.24/8.68 | | | | | | | | | | (1055) all_20_14 = e11
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | COMBINE_EQS: (687), (1055) imply:
% 56.24/8.68 | | | | | | | | | | (1056) all_12_10 = e11
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | SIMP: (1056) implies:
% 56.24/8.68 | | | | | | | | | | (1057) all_12_10 = e11
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REDUCE: (93), (1057) imply:
% 56.24/8.68 | | | | | | | | | | (1058) ~ (all_12_2 = e11)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REDUCE: (79), (1057) imply:
% 56.24/8.68 | | | | | | | | | | (1059) ~ (all_12_6 = e11)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REDUCE: (74), (1057) imply:
% 56.24/8.68 | | | | | | | | | | (1060) ~ (all_12_8 = e11)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REDUCE: (68), (1057) imply:
% 56.24/8.68 | | | | | | | | | | (1061) ~ (all_12_11 = e11)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | SIMP: (1061) implies:
% 56.24/8.68 | | | | | | | | | | (1062) ~ (all_12_11 = e11)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | REDUCE: (960), (1057) imply:
% 56.24/8.68 | | | | | | | | | | (1063) ~ (e12 = e11)
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | BETA: splitting (205) gives:
% 56.24/8.68 | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | (1064) all_16_14 = e12
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | COMBINE_EQS: (749), (1064) imply:
% 56.24/8.68 | | | | | | | | | | | (1065) all_12_11 = e12
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | REDUCE: (962), (1065) imply:
% 56.24/8.68 | | | | | | | | | | | (1066) $false
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | CLOSE: (1066) is inconsistent.
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | Case 2:
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | (1067) all_16_14 = e13 | all_16_14 = e11 | all_16_14 =
% 56.24/8.68 | | | | | | | | | | | e10
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | BETA: splitting (1067) gives:
% 56.24/8.68 | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | (1068) all_16_14 = e13
% 56.24/8.68 | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | COMBINE_EQS: (749), (1068) imply:
% 56.24/8.68 | | | | | | | | | | | | (1069) all_12_11 = e13
% 56.24/8.68 | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | COMBINE_EQS: (699), (1069) imply:
% 56.24/8.68 | | | | | | | | | | | | (1070) all_20_8 = e13
% 56.24/8.68 | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | REDUCE: (73), (1069) imply:
% 56.24/8.68 | | | | | | | | | | | | (1071) ~ (all_12_8 = e13)
% 56.24/8.68 | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | BETA: splitting (213) gives:
% 56.24/8.68 | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | Case 1:
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | | (1072) all_16_2 = e12
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | | COMBINE_EQS: (745), (1072) imply:
% 56.24/8.68 | | | | | | | | | | | | | (1073) all_12_8 = e12
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | | SIMP: (1073) implies:
% 56.24/8.68 | | | | | | | | | | | | | (1074) all_12_8 = e12
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | | REDUCE: (958), (1074) imply:
% 56.24/8.68 | | | | | | | | | | | | | (1075) $false
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | | CLOSE: (1075) is inconsistent.
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.68 | | | | | | | | | | | | Case 2:
% 56.24/8.68 | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | (1076) ~ (all_16_2 = e12)
% 56.24/8.69 | | | | | | | | | | | | | (1077) all_16_2 = e13 | all_16_2 = e11 | all_16_2 = e10
% 56.24/8.69 | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | BETA: splitting (1077) gives:
% 56.24/8.69 | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | (1078) all_16_2 = e13
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | COMBINE_EQS: (745), (1078) imply:
% 56.24/8.69 | | | | | | | | | | | | | | (1079) all_12_8 = e13
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | SIMP: (1079) implies:
% 56.24/8.69 | | | | | | | | | | | | | | (1080) all_12_8 = e13
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | REDUCE: (1071), (1080) imply:
% 56.24/8.69 | | | | | | | | | | | | | | (1081) $false
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | CLOSE: (1081) is inconsistent.
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | (1082) ~ (all_16_2 = e13)
% 56.24/8.69 | | | | | | | | | | | | | | (1083) all_16_2 = e11 | all_16_2 = e10
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | BETA: splitting (1083) gives:
% 56.24/8.69 | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | (1084) all_16_2 = e11
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1084) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | (1085) all_12_8 = e11
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | SIMP: (1085) implies:
% 56.24/8.69 | | | | | | | | | | | | | | | (1086) all_12_8 = e11
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | REDUCE: (1060), (1086) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | (1087) $false
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | CLOSE: (1087) is inconsistent.
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | (1088) all_16_2 = e10
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | COMBINE_EQS: (745), (1088) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | (1089) all_12_8 = e10
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | SIMP: (1089) implies:
% 56.24/8.69 | | | | | | | | | | | | | | | (1090) all_12_8 = e10
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1090) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | (1091) all_20_6 = e10
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | REDUCE: (958), (1090) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | (1092) ~ (e12 = e10)
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | (1093) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_14 = e13))) | (all_20_3 = e13 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | BETA: splitting (1093) gives:
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (1094) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_14 = e13)))
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (683), (695), (777), (854), (1058), (1094)
% 56.24/8.69 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #129.
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (1095) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_14 = e12)))
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (524), (623), (696), (859), (1043), (1059), (1095)
% 56.24/8.69 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #126.
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | End of split
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | (1096) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_12 = e11))) | (all_20_9 = e13 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & (
% 56.24/8.69 | | | | | | | | | | | | | | | | ~ (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 56.24/8.69 | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | BETA: splitting (1096) gives:
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (1097) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e11)))
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (856), (1055), (1070), (1091), (1097) are
% 56.24/8.69 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (1098) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | ~ (all_20_12 = e10)))
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (1099) all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_14 = e10))
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | ALPHA: (1099) implies:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (1100) ~ (all_20_15 = e10)
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1100) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (1101) $false
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | CLOSE: (1101) is inconsistent.
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (1102) (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | BETA: splitting (1102) gives:
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (1103) all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (all_20_14 = e10))
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (498), (1103) are inconsistent by sub-proof
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | #124.
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (1104) all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) | ~
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (all_20_12 = e10))
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | ALPHA: (1104) implies:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (1105) all_20_13 = e11
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (1105) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (1106) all_12_14 = e11
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1106) imply:
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | (1107) $false
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | | CLOSE: (1107) is inconsistent.
% 56.24/8.69 | | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.69 | | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | | End of split
% 56.24/8.69 | | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | | End of split
% 56.24/8.69 | | | | | | | | | | | | | | | |
% 56.24/8.69 | | | | | | | | | | | | | | | End of split
% 56.24/8.69 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | End of split
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | End of split
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | End of split
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | Case 2:
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | (1108) all_16_14 = e11 | all_16_14 = e10
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | REF_CLOSE: (749), (1044), (1062), (1108) are inconsistent by
% 56.24/8.70 | | | | | | | | | | | | sub-proof #123.
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | End of split
% 56.24/8.70 | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | End of split
% 56.24/8.70 | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | Case 2:
% 56.24/8.70 | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | (1109) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9
% 56.24/8.70 | | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 =
% 56.24/8.70 | | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11)
% 56.24/8.70 | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | ALPHA: (1109) implies:
% 56.24/8.70 | | | | | | | | | | (1110) ~ (all_20_14 = e10) | all_20_13 = e11
% 56.24/8.70 | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | BETA: splitting (1110) gives:
% 56.24/8.70 | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | (1111) ~ (all_20_14 = e10)
% 56.24/8.70 | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | REDUCE: (687), (1111) imply:
% 56.24/8.70 | | | | | | | | | | | (1112) ~ (all_12_10 = e10)
% 56.24/8.70 | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | BETA: splitting (305) gives:
% 56.24/8.70 | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | (1113) all_24_6 = e10
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | COMBINE_EQS: (620), (1113) imply:
% 56.24/8.70 | | | | | | | | | | | | (1114) all_12_2 = e10
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | SIMP: (1114) implies:
% 56.24/8.70 | | | | | | | | | | | | (1115) all_12_2 = e10
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | REDUCE: (852), (1115) imply:
% 56.24/8.70 | | | | | | | | | | | | (1116) $false
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | CLOSE: (1116) is inconsistent.
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | Case 2:
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | (1117) all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | BETA: splitting (1117) gives:
% 56.24/8.70 | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | (1118) all_24_7 = e10
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | COMBINE_EQS: (783), (1118) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1119) all_12_6 = e10
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | SIMP: (1119) implies:
% 56.24/8.70 | | | | | | | | | | | | | (1120) all_12_6 = e10
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | COMBINE_EQS: (623), (1120) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1121) all_20_4 = e10
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | REDUCE: (87), (1120) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1122) ~ (all_12_4 = e10)
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | REDUCE: (80), (1120) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1123) ~ (all_12_7 = e10)
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | REDUCE: (78), (1120) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1124) ~ (all_12_14 = e10)
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | REDUCE: (881), (1120) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1125) h4(e10) = all_28_19
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | REDUCE: (897), (1120) imply:
% 56.24/8.70 | | | | | | | | | | | | | (1126) h3(e10) = all_28_55
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | BETA: splitting (309) gives:
% 56.24/8.70 | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | (1127) all_24_4 = e10
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (605), (1127) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1128) all_12_8 = e10
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | SIMP: (1128) implies:
% 56.24/8.70 | | | | | | | | | | | | | | (1129) all_12_8 = e10
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (678), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1130) all_20_6 = e10
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | REDUCE: (74), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1131) ~ (all_12_10 = e10)
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | REDUCE: (73), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1132) ~ (all_12_11 = e10)
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | REDUCE: (72), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1133) ~ (all_12_12 = e10)
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | REDUCE: (958), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1134) ~ (e12 = e10)
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | REDUCE: (874), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1135) h4(e10) = all_28_5
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | REDUCE: (890), (1129) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1136) h3(e10) = all_28_41
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_71, all_28_55, e10,
% 56.24/8.70 | | | | | | | | | | | | | | simplifying with (1048), (1126) gives:
% 56.24/8.70 | | | | | | | | | | | | | | (1137) all_28_55 = all_28_71
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e20, all_28_41, e10,
% 56.24/8.70 | | | | | | | | | | | | | | simplifying with (1008), (1136) gives:
% 56.24/8.70 | | | | | | | | | | | | | | (1138) all_28_41 = e20
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_55, all_28_41, e10,
% 56.24/8.70 | | | | | | | | | | | | | | simplifying with (1126), (1136) gives:
% 56.24/8.70 | | | | | | | | | | | | | | (1139) all_28_41 = all_28_55
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_2, all_28_19, e10,
% 56.24/8.70 | | | | | | | | | | | | | | simplifying with (48), (1125) gives:
% 56.24/8.70 | | | | | | | | | | | | | | (1140) all_28_19 = all_8_2
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_19, all_28_5, e10,
% 56.24/8.70 | | | | | | | | | | | | | | simplifying with (1125), (1135) gives:
% 56.24/8.70 | | | | | | | | | | | | | | (1141) all_28_5 = all_28_19
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_35, all_28_5, e10,
% 56.24/8.70 | | | | | | | | | | | | | | simplifying with (1047), (1135) gives:
% 56.24/8.70 | | | | | | | | | | | | | | (1142) all_28_5 = all_28_35
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (1141), (1142) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1143) all_28_19 = all_28_35
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | SIMP: (1143) implies:
% 56.24/8.70 | | | | | | | | | | | | | | (1144) all_28_19 = all_28_35
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (1140), (1144) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1145) all_28_35 = all_8_2
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (1138), (1139) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1146) all_28_55 = e20
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | SIMP: (1146) implies:
% 56.24/8.70 | | | | | | | | | | | | | | (1147) all_28_55 = e20
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (1137), (1147) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1148) all_28_71 = e20
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | SIMP: (1148) implies:
% 56.24/8.70 | | | | | | | | | | | | | | (1149) all_28_71 = e20
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | COMBINE_EQS: (1142), (1145) imply:
% 56.24/8.70 | | | | | | | | | | | | | | (1150) all_28_5 = all_8_2
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 56.24/8.70 | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | (1151) all_16_11 = e12
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | COMBINE_EQS: (757), (1151) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1152) all_12_14 = e12
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | SIMP: (1152) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | (1153) all_12_14 = e12
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | COMBINE_EQS: (692), (1153) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1154) all_20_13 = e12
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | COMBINE_EQS: (482), (1153) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1155) all_24_11 = e12
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | REDUCE: (92), (1153) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1156) ~ (all_12_2 = e12)
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | REDUCE: (64), (1153) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1157) ~ (all_12_12 = e12)
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | REDUCE: (883), (1153) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1158) h4(e12) = all_28_23
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | REDUCE: (899), (1153) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | (1159) h3(e12) = all_28_59
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 56.24/8.70 | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | (1160) all_16_3 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (1160) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | (1161) all_12_12 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | REDUCE: (1157), (1161) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | (1162) $false
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | CLOSE: (1162) is inconsistent.
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | Case 2:
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | (1163) all_16_3 = e13 | all_16_3 = e11 | all_16_3 = e10
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1164) all_24_9 = e13
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (1164) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1165) all_12_12 = e13
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | SIMP: (1165) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1166) all_12_12 = e13
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | REDUCE: (100), (1166) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1167) ~ (all_12_0 = e13)
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | REDUCE: (875), (1166) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1168) h4(e13) = all_28_7
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | REDUCE: (891), (1166) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1169) h3(e13) = all_28_43
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_28_59, e12,
% 56.24/8.70 | | | | | | | | | | | | | | | | | simplifying with (42), (1159) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1170) all_28_59 = e22
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e23, all_28_43, e13,
% 56.24/8.70 | | | | | | | | | | | | | | | | | simplifying with (904), (1169) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1171) all_28_43 = e23
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_23, e12,
% 56.24/8.70 | | | | | | | | | | | | | | | | | simplifying with (50), (1158) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1172) all_28_23 = e23
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_1, all_28_7, e13,
% 56.24/8.70 | | | | | | | | | | | | | | | | | simplifying with (51), (1168) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | (1173) all_28_7 = all_8_1
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | (1174) all_16_1 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (1174) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | (1175) all_12_4 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | SIMP: (1175) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | (1176) all_12_4 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (1176) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | (1177) all_20_3 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | REDUCE: (102), (1176) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | (1178) ~ (all_12_0 = e12)
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | (1179) all_16_0 = e12
% 56.24/8.70 | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (1178), (1179) are inconsistent by
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | sub-proof #122.
% 56.24/8.70 | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | (1180) all_16_0 = e13 | all_16_0 = e11 | all_16_0 = e10
% 56.24/8.70 | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | (1181) all_16_0 = e13
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (1167), (1181) are inconsistent by
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | sub-proof #121.
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | (1182) ~ (all_16_0 = e13)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | (1183) all_16_0 = e11 | all_16_0 = e10
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1183) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1184) all_16_0 = e11
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (1184) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1185) all_12_0 = e11
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1185) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1186) all_12_0 = e11
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (1186) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1187) all_24_0 = e11
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1186) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1188) ~ (all_12_2 = e11)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1188) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1189) ~ (all_12_2 = e11)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (1186) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1190) ~ (all_12_3 = e11)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1190) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1191) ~ (all_12_3 = e11)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1167), (1186) imply:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1192) ~ (e13 = e11)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (1192) implies:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | (1193) ~ (e13 = e11)
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.70 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | (1194) all_16_8 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (736), (1156), (1194) are inconsistent by
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | sub-proof #120.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | (1195) all_16_8 = e13 | all_16_8 = e11 | all_16_8 = e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | (1196) all_24_12 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1196) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | (1197) all_12_3 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | (1198) all_12_3 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1198) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | (1199) all_20_2 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_24_0 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1187), (1200) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | (1201) e13 = e11
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1193), (1201) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | (1202) $false
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1202) is inconsistent.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1203) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_24_2 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (1204) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1205) e13 = e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1205) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1206) $false
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1206) is inconsistent.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_24_6 = e13 | all_24_12 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1207) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_24_6 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1208) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_12_2 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1209) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_12_2 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1210) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_20_1 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1210) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_12_10 = e13)
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1212) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_12_10 = e13)
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_16_10 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (1214) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_12_10 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1215) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_12_10 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (1216) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) $false
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1217) is inconsistent.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) ~ (all_16_10 = e12)
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_16_10 = e13 | all_16_10 = e11 | all_16_10 =
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_16_10 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (1220) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_12_10 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1221) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_12_10 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1213), (1222) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) $false
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1223) is inconsistent.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) ~ (all_16_10 = e13)
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_16_10 = e11 | all_16_10 = e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1225) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_16_10 = e11
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (1226) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_12_10 = e11
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1227) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_12_10 = e11
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1228) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_20_14 = e11
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (1228) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) ~ (e12 = e11)
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1112), (1228) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) ~ (e11 = e10)
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13))) | (all_20_3 = e13 & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (777), (1234) are inconsistent by sub-proof
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #131.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_2 = e10 & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_1 = e11) | ~ (all_20_14 = e13)))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1193), (1211), (1236) are inconsistent by
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1237) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_20_2 = e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1199), (1238) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) e12 = e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1239) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) e12 = e10
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1240) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) $false
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1241) is inconsistent.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1243) implies:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_20_3 = e13
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1177), (1244) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) e13 = e12
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1245) imply:
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) $false
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1246) is inconsistent.
% 56.24/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1247) gives:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1121), (1231), (1248) are inconsistent by
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1249) implies:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_20_5 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (1250) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_12_7 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1043), (1251) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) $false
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1252) is inconsistent.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11))) | (all_20_9 = e13 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & (
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1253) gives:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1254) gives:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (856), (1130), (1255) are inconsistent by
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) (all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_8 = e10 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e12) | ~ (all_20_12 = e11)))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1256) gives:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_8 = e10) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1257) implies:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) ~ (all_20_14 = e11)
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1229), (1258) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) $false
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1259) is inconsistent.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1260) implies:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_20_8 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1261) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_12_11 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1044), (1262) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) $false
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1263) is inconsistent.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_12 = e10)))
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (498), (1042), (1154), (1264) are
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_16_10 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (1265) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_12_10 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1266) implies:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_12_10 = e10
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1112), (1267) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) $false
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1268) is inconsistent.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_24_12 = e13
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1196), (1269) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) e13 = e12
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1270) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) $false
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1271) is inconsistent.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_24_12 = e12)
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (1272) imply:
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_12_3 = e12)
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (207), (736), (738), (852), (854), (1189),
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | (1191), (1195), (1273) are inconsistent by
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #112.
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1274) all_16_0 = e10
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (850), (1274) are inconsistent by sub-proof
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | #111.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.73 | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | (1275) all_16_1 = e13 | all_16_1 = e11 | all_16_1 = e10
% 56.24/8.73 | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | (1276) all_16_1 = e13
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (1276) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | (1277) all_12_4 = e13
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | SIMP: (1277) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | (1278) all_12_4 = e13
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1278) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | (1279) $false
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | CLOSE: (1279) is inconsistent.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | (1280) ~ (all_16_1 = e13)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | (1281) all_16_1 = e11 | all_16_1 = e10
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (1281) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1282) all_16_1 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (1282) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1283) all_12_4 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | SIMP: (1283) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1284) all_12_4 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1285) all_20_3 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1286) all_24_1 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1287) ~ (all_12_0 = e11)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1288) ~ (all_12_7 = e11)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | SIMP: (1288) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1289) ~ (all_12_7 = e11)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1290) ~ (e13 = e11)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | SIMP: (1290) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1291) ~ (e13 = e11)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (1122), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1292) ~ (e11 = e10)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1293) h4(e11) = all_28_3
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1284) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | (1294) h3(e11) = all_28_39
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1295) all_16_0 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (1295) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1296) all_12_0 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (1296) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1297) all_12_0 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1297) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1298) ~ (all_12_2 = e12)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (1297) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1299) h4(e12) = all_28_1
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (1297) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | (1300) h3(e12) = all_28_37
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | (1301) all_24_1 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1286), (1301) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | (1302) e12 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1302) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | (1303) e12 = e11
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1303) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | (1304) $false
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1304) is inconsistent.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | (1305) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1306) all_16_13 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (1306) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1307) all_12_7 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (1307) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1308) all_20_5 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (1307) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1309) all_24_13 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1307) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1310) ~ (all_12_3 = e12)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (885), (1307) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1311) h4(e12) = all_28_29
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (1307) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1312) h3(e12) = all_28_65
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_28_39, e11,
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1024), (1294) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1313) all_28_39 = e21
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_28_37, e12,
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (1300) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1314) all_28_37 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_65, all_28_37, e12,
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1300), (1312) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1315) all_28_37 = all_28_65
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_0, all_28_3, e11,
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (1293) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1316) all_28_3 = all_8_0
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_1, e12,
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (1299) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1317) all_28_1 = e23
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_29, all_28_1, e12,
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1299), (1311) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1318) all_28_1 = all_28_29
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1317), (1318) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1319) all_28_29 = e23
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1314), (1315) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | (1320) all_28_65 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_16_14 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (1321) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_12_11 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (962), (1322) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (1323) $false
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1323) is inconsistent.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_16_14 = e12)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_16_14 = e13 | all_16_14 = e11 | all_16_14 =
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | e10
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_16_8 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (736), (1326) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_12_2 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1327) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1328) $false
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1328) is inconsistent.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1329) ~ (all_16_8 = e12)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_16_8 = e13 | all_16_8 = e11 | all_16_8 = e10
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_16_12 = e12
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (1310), (1331) are inconsistent by
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #115.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_16_12 = e13 | all_16_12 = e11 | all_16_12 =
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_18_10 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (980), (1333) are inconsistent by sub-proof
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | #110.
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) ~ (all_18_10 = e22)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_18_10 = e23 | all_18_10 = e21 | all_18_10 =
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_18_3 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1336) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_14_12 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1337) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_14_12 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (1338) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_22_9 = e22
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1338) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) ~ (all_14_4 = e22)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1338) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) ~ (all_14_14 = e22)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1341) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) ~ (all_14_14 = e22)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1338) imply:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) ~ (all_10_1 = e22)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1343) implies:
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) ~ (all_10_1 = e22)
% 56.24/8.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (136), (140), (141), (143), (150),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (154), (155), (156), (158), (159), (233),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (239), (240), (242), (280),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (336), (337), (338), (342), (344), (346),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (353), (532), (536), (539), (544),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547), (551), (554), (557), (573), (579), (582),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586), (640), (642), (646), (649), (652), (654),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660), (662), (705), (707), (709), (710), (718),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728), (730), (778), (779), (780), (788), (789),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790), (792), (808), (814), (816), (822), (823),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (825), (827), (829), (833), (834), (835),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839), (841), (842), (846), (848), (849), (973),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976), (978), (980), (1335), (1339), (1340),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342), (1344) are inconsistent by sub-proof #57.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) ~ (all_18_3 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_18_3 = e23 | all_18_3 = e21 | all_18_3 = e20
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (1345) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) ~ (all_14_12 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_18_12 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (1348) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_14_3 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1349) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_14_3 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1350) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_22_2 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1350) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_26_12 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (1350) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) ~ (all_10_1 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1353) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) ~ (all_10_1 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1350) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) ~ (all_8_1 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1355) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) ~ (all_8_1 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (135), (140), (141), (143), (149),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (150), (156), (158), (233), (240), (243), (280),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (336), (337), (339), (340), (345), (346),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (353), (356), (532), (536), (539), (547),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551), (554), (557), (576), (579), (582), (586),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640), (642), (646), (649), (652), (654), (656),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660), (705), (720), (722), (730), (778), (779),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780), (788), (789), (790), (791), (792), (802),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804), (808), (810), (812), (814), (818), (822),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823), (825), (829), (833), (834), (835), (839),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841), (842), (843), (844), (846), (848), (849),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973), (976), (1335), (1346), (1347), (1351),
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352), (1354), (1356) are inconsistent by
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) ~ (all_18_12 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_18_12 = e23 | all_18_12 = e21 | all_18_12 =
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (1357) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) ~ (all_14_3 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_18_1 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1360) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_14_4 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1361) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_14_4 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (1362) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_22_3 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (1362) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_26_1 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1362) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) ~ (all_14_6 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1365) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) ~ (all_14_6 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1362) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) ~ (all_14_7 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1367) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) ~ (all_14_7 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_26_12 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1359), (1369) are inconsistent by
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_26_13 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (790), (1368), (1371) are inconsistent by
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #88.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_26_14 = e22 | all_26_15 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1372) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_26_14 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (789), (978), (1373) are inconsistent by sub-proof
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #60.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_26_15 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (1374) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_10_1 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1375) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_10_1 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1376) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_22_15 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (1376) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) ~ (all_14_14 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_26_6 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1379) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_14_2 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1380) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_14_2 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (1381) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_22_1 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (1381) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) ~ (all_14_14 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) (all_22_10 = e23 & ( ~ (all_22_12 = e23) |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (642), (779), (1384) are inconsistent
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #42.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) (all_22_14 = e21 & ( ~ (all_22_10 = e21) |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1385) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1386) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_22_14 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (1387) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_4_1 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (1388) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) ~ (all_14_6 = e21)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (980), (1388) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) ~ (e22 = e21)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_26_1 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1364), (1391) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) e22 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1392) implies:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) e22 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1393) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) $false
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1394) is inconsistent.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) ~ (all_26_1 = e21)
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1396) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_26_3 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (792), (832), (1397) are inconsistent by sub-proof
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_26_7 = e21 | all_26_13 = e21
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_18_9 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (1399) imply:
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_14_6 = e22
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1400) implies:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_14_6 = e22
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1366), (1401) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) $false
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1402) is inconsistent.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) ~ (all_18_9 = e22)
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1404) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_18_9 = e23
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (710), (827), (1405) are inconsistent by sub-proof
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #74.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) ~ (all_18_9 = e23)
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_18_9 = e21 | all_18_9 = e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1398) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_26_7 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (1389), (1408) are inconsistent by
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_26_13 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (1409) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_14_7 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1410) implies:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_14_7 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (1411) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_22_5 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_18_9 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (1413) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_14_6 = e21
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1414) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) $false
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1415) is inconsistent.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_18_9 = e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (1416) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_14_6 = e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1417) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_22_4 = e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1366), (1417) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) ~ (e22 = e20)
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_18_11 = e22
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1420) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_14_14 = e22
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1378), (1421) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) $false
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1422) is inconsistent.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_18_11 = e23 | all_18_11 = e21 | all_18_11 =
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1424) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (642), (662), (816), (1382), (1425)
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #71.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (822), (1363), (1412), (1418), (1426) are
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1387), (1428) are inconsistent by sub-proof #99.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_12 = e20)))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1430) implies:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_22_9 = e23
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (1431) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_14_12 = e23
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1432) implies:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_14_12 = e23
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1433) imply:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) ~ (all_14_14 = e23)
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1434) implies:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) ~ (all_14_14 = e23)
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1423) gives:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_18_11 = e23
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1435), (1436) are inconsistent by
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_18_11 = e21 | all_18_11 = e20
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (710), (728), (827), (846), (1389), (1404),
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) are inconsistent by sub-proof #64.
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (660), (780), (846), (1438) are inconsistent
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #79.
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1377), (1439) are inconsistent by sub-proof
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (551), (554), (980), (1366), (1378), (1440)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #61.
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) ~ (all_18_1 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_18_1 = e23 | all_18_1 = e21 | all_18_1 = e20
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (1441) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) ~ (all_14_4 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_26_0 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (1444) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_8_1 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1445) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_8_1 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_28_36 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_28_25 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1003), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_28_11 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (992), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_28_10 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1173), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_28_7 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (all_14_2 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) h4(e13) = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op2(all_8_0, e22) = all_28_16
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (907), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) op2(e22, all_8_0) = all_28_4
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) op2(e22, e22) = all_28_0
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) op2(e22, all_8_2) = all_28_6
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) op2(e22, e23) = all_28_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) op2(all_8_2, e22) = all_28_24
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1446) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) op2(e23, e22) = all_8_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_0, e22, e22,
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (1456) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_28_0 = e23
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_2, e23, e22,
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (1458) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_28_2 = e20
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_14_4, all_8_2, e22,
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (185), (1460) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_14_4 = all_8_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_18_1 = all_8_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_22_3 = all_8_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_26_1 = all_8_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_28_38 = all_8_2
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) ~ (all_14_6 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1468) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) ~ (all_14_6 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) ~ (all_14_7 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1470) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) ~ (all_14_7 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) ~ (all_14_8 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1472) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) ~ (all_14_8 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) ~ (all_14_12 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1474) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) ~ (all_14_12 = all_8_2)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (1463) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) ~ (all_8_2 = e23)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_18_8 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (1477) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_14_2 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1452), (1478) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) $false
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1479) is inconsistent.
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) ~ (all_18_8 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_18_11 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1482) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_14_14 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1483) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_22_13 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1483) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_26_11 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1033), (1483) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_28_58 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (1483) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) ~ (all_10_1 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1487) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) ~ (all_10_1 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_26_12 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1359), (1489) are inconsistent by
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1490) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_26_13 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (1491) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_14_7 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1492) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_14_7 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (1493) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_22_5 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1017), (1493) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_28_63 = e22
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1493) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) ~ (all_14_6 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (1493) imply:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) ~ (all_8_2 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1497) implies:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) ~ (all_8_2 = e22)
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_18_9 = e22
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (1499) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_14_6 = e22
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1496), (1500) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) $false
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1501) is inconsistent.
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) ~ (all_18_9 = e22)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_18_14 = e22
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (1504) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_14_11 = e22
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (978), (1505) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) $false
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1506) is inconsistent.
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_18_14 = e23 | all_18_14 = e21 | all_18_14 =
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_26_15 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (1508) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_10_1 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1509) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_10_1 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1510) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_22_15 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1016), (1510) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_28_69 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1510) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) ~ (all_14_11 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1510) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) ~ (all_14_12 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (1510) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) ~ (e22 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) (all_22_10 = e23 & ( ~ (all_22_12 = e23) |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (642), (779), (1516) are inconsistent
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #42.
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) (all_22_14 = e21 & ( ~ (all_22_10 = e21) |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1517) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (136), (154), (158), (159), (281), (337),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (536), (544), (554), (642), (646), (649),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652), (654), (656), (662), (705), (707), (710),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718), (720), (780), (789), (792), (816), (823),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827), (833), (839), (980), (1346), (1358),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359), (1465), (1466), (1469), (1475), (1481),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484), (1491), (1494), (1496), (1498), (1503),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507), (1508), (1511), (1513), (1518) are
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) ~ (all_22_14 = e20) | all_22_13 = e21
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_22_14 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (1521) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) ~ (all_4_1 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1346) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_18_3 = e23
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1523) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_14_12 = e23
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1524) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_14_12 = e23
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1020), (1525) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_28_42 = e23
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1525) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) ~ (all_14_8 = e23)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1475), (1525) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) ~ (all_8_2 = e23)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_26_6 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (557), (814), (1529) are inconsistent by sub-proof
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28.
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1530) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_26_7 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1531) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) all_14_6 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1532) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_14_6 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1533) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_22_4 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1035), (1533) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_28_54 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1469), (1533) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) ~ (all_8_2 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1536) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) ~ (all_8_2 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (1533) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) ~ (all_4_1 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_26_1 = e21
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1466), (1539) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_8_2 = e21
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1540) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_8_2 = e21
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1465), (1541) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_22_3 = e21
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1467), (1541) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_28_38 = e21
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1473), (1541) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) ~ (all_14_8 = e21)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1476), (1541) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) ~ (e23 = e21)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1498), (1541) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) ~ (e22 = e21)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_26_4 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (1547) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_14_8 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1548) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_14_8 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (1549) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_22_6 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (1549) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_28_40 = e20
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1549) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) ~ (all_14_11 = e20)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_24_6 = e13
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1553) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_12_2 = e13
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1554) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_12_2 = e13
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1555) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_20_1 = e13
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1555) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) ~ (all_12_3 = e13)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1557) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) ~ (all_12_3 = e13)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1555) imply:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) ~ (all_12_10 = e13)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1559) implies:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) ~ (all_12_10 = e13)
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (68), (90), (262), (302), (310),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311), (498), (624), (629), (633), (687), (695),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699), (738), (777), (854), (856), (955), (960),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962), (1039), (1042), (1044), (1112), (1121),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127), (1130), (1154), (1285), (1291), (1292),
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308), (1309), (1332), (1556), (1558), (1560) are
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1561) gives:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_24_7 = e13
% 56.24/8.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (1562) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) e13 = e10
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1563) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) $false
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1564) is inconsistent.
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_24_8 = e13 | all_24_11 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_24_8 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (624), (1566) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_12_10 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1567) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_12_10 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1568) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) ~ (all_12_11 = e13)
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1569) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) ~ (all_12_11 = e13)
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1568) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) h3(e13) = all_28_57
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_24_12 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1572) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_12_3 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1573) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) all_12_3 = e13
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1574) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) ~ (all_12_2 = e13)
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (1574) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) h3(e13) = all_28_62
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_24_6 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1577) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_12_2 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1578) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_12_2 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1579) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) ~ (e12 = e11)
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (896), (1579) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) h3(e11) = all_28_53
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) all_24_12 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1572), (1582) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) e13 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1583) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) e13 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1291), (1584) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) $false
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1585) is inconsistent.
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_24_13 = e11 | all_24_14 = e11 | all_24_15 =
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1586) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_24_13 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1309), (1587) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) e12 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1588) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) e12 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1589) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) $false
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1590) is inconsistent.
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_24_14 = e11 | all_24_15 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1591) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_24_14 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1592) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_12_11 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1593) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_12_11 = e11
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1594) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) h3(e11) = all_28_68
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_28_53, e11,
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1024), (1581) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_28_53 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_68, all_28_53, e11,
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1581), (1595) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_28_53 = all_28_68
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e23, all_28_57, e13,
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (904), (1571) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_28_57 = e23
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_62, all_28_57, e13,
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1571), (1576) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_28_57 = all_28_62
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1596), (1597) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_28_68 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1600) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_28_68 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1598), (1599) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_28_62 = e23
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_26_12 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1603) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_14_3 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1604) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_22_2 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1604) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) ~ (all_14_2 = e21)
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_26_0 = e23
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1444), (1607) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) e23 = e22
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1608) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) $false
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1609) is inconsistent.
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1612) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1613) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_22_0 = e22
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (1614) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) e22 = e20
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1615) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) e22 = e20
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1616) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) $false
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1617) is inconsistent.
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1619) implies:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_22_1 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (1620) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_14_2 = e21
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1606), (1621) imply:
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) $false
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1622) is inconsistent.
% 56.24/8.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1623) implies:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_22_2 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1605), (1624) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) e21 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1625) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) $false
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1626) is inconsistent.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1627) gives:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (832), (1542), (1628) are inconsistent by
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1630) implies:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_22_4 = e21
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1534), (1631) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) e21 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1632) implies:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) e21 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1633) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) $false
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1634) is inconsistent.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1494), (1635) are inconsistent by sub-proof
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #82.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1638) implies:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_22_6 = e23
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1550), (1639) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) e23 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1640) implies:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) e23 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1641) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) $false
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1642) is inconsistent.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1644) implies:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) ~ (all_22_14 = e21)
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (1645) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) ~ (all_4_1 = e21)
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_18_10 = e23
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (1647) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_4_1 = e23
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1648) imply:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) ~ (all_14_2 = e23)
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (557), (573), (818), (832), (1603), (1610), (1649)
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #24.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_18_10 = e21 | all_18_10 = e20
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (1522), (1646), (1650) are inconsistent by
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1651) implies:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_22_8 = e20
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1652) imply:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_14_11 = e20
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1513), (1653) imply:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) $false
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1654) is inconsistent.
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_12 = e20)))
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) ~ (all_22_15 = e20)
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1511), (1657) imply:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) $false
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1658) is inconsistent.
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.24/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (780), (1660) are inconsistent by sub-proof
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20))
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1484), (1661) are inconsistent by sub-proof
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #33.
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (all_26_12 = e21)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1662) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_14_3 = e21)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_18_12 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (1665) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_14_3 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1666) implies:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_14_3 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (1667) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_28_60 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1667) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) ~ (all_14_2 = e23)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_18_14 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (1670) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_14_11 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (1671) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_26_14 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1663) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_26_13 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1491), (1673) are inconsistent by sub-proof
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #78.
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_26_14 = e21 | all_26_15 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (822), (832), (1508), (1672), (1674) are
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_18_14 = e21 | all_18_14 = e20
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1675) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_18_14 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (1676) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_14_11 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1032), (1677) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_28_66 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_26_6 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1679) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_14_2 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_14_2 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1036), (1681) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_28_52 = e21
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1681) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) ~ (all_4_1 = e21)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1683) implies:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) ~ (all_4_1 = e21)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_18_10 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (1685) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_4_1 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1686) implies:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_4_1 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1034), (1687) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_28_56 = e23
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_28_36 = all_28_37)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1314), (1447), (1689) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) $false
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1690) is inconsistent.
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) ~ (all_28_38 = all_28_39) | ~ (all_28_40 =
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_44 = all_28_45) | ~ (all_28_46 =
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1691) gives:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) ~ (all_28_38 = all_28_39)
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1313), (1543), (1692) imply:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) $false
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1693) is inconsistent.
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) ~ (all_28_40 = all_28_41) | ~ (all_28_42 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_43) | ~ (all_28_44 = all_28_45) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_46 = all_28_47) | ~ (all_28_48 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1694) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) ~ (all_28_40 = all_28_41)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1138), (1551), (1695) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1696) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_28_42 = all_28_43) | ~ (all_28_44 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_48 = all_28_49) | ~ (all_28_50 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1697) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_28_42 = all_28_43)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1171), (1526), (1698) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1699) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_28_44 = all_28_45) | ~ (all_28_46 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1700) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_28_44 = all_28_45)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (988), (1007), (1701) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1702) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1703) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) ~ (all_28_46 = all_28_47)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (987), (999), (1704) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1705) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) ~ (all_28_48 = all_28_49) | ~ (all_28_50 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) ~ (all_28_48 = all_28_49)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (998), (1037), (1707) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1708) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1709) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) ~ (all_28_50 = all_28_51)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1022), (1023), (1710) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1711) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_28_52 = all_28_53) | ~ (all_28_54 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1712) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) ~ (all_28_52 = all_28_53)
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1596), (1682), (1713) imply:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) $false
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1714) is inconsistent.
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1715) gives:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) ~ (all_28_54 = all_28_55)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1147), (1535), (1716) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1717) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) ~ (all_28_56 = all_28_57) | ~ (all_28_58 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) ~ (all_28_56 = all_28_57)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1598), (1688), (1719) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) ~ (all_28_58 = all_28_59)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1170), (1486), (1722) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1723) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) ~ (all_28_60 = all_28_62) | ~ (all_28_63 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1724) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) ~ (all_28_60 = all_28_62)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1602), (1668), (1725) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1726) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1727) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_28_63 = all_28_65)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1495), (1728) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1729) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) ~ (all_28_66 = all_28_68) | ~ (all_28_69 =
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1730) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) ~ (all_28_66 = all_28_68)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1601), (1678), (1731) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1732) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) &
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1733) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) ~ (all_28_69 = all_28_71)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1149), (1512), (1734) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (801), (1006), (1021), (1736) are
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_18_10 = e21 | all_18_10 = e20
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (1522), (1684), (1737) are inconsistent by
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) ~ (all_26_6 = e21)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (1738) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) ~ (all_14_2 = e21)
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1481) gives:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_18_8 = e23
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (1740) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_14_2 = e23
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1669), (1741) imply:
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) $false
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1742) is inconsistent.
% 57.23/8.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_18_8 = e21 | all_18_8 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (814), (1739), (1743) are inconsistent by
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_18_14 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (1744) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_14_11 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1513), (1745) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) $false
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1746) is inconsistent.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_18_12 = e21 | all_18_12 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (816), (1664), (1747) are inconsistent by
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_24_15 = e11
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1039), (1748) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) e11 = e10
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1292), (1749) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) $false
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1750) is inconsistent.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) ~ (all_24_6 = e11)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1751) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_12_2 = e11)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (736), (852), (1330), (1575), (1752) are
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_24_13 = e13 | all_24_14 = e13 | all_24_15 =
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_16_14 = e13
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (1754) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_12_11 = e13
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1570), (1755) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) $false
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1756) is inconsistent.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) ~ (all_16_14 = e13)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_16_14 = e11 | all_16_14 = e10
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (633), (749), (856), (1039), (1044), (1309),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570), (1753), (1758) are inconsistent by
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_24_11 = e13
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1155), (1759) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) e13 = e12
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1760) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) $false
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1761) is inconsistent.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (551), (789), (973), (1513), (1522), (1762)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #66.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) ~ (all_26_1 = e21)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1466), (1763) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) ~ (all_8_2 = e21)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1442), (1464), (1476), (1537), (1764) are
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_26_8 = e20 | all_26_11 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (551), (1485), (1522), (1765) are
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_18_3 = e21 | all_18_3 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (843), (1514), (1766) are inconsistent by
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_22_13 = e21
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1484), (1767) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) e22 = e21
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1768) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) $false
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1769) is inconsistent.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) ~ (all_26_15 = e20)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1771) implies:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (1770) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) ~ (all_10_1 = e20)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (159), (280), (281), (350), (353),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (544), (554), (557), (573), (576), (642),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649), (652), (654), (656), (662), (705), (778),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779), (780), (791), (792), (814), (816), (818),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822), (823), (832), (833), (980), (1347), (1359),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444), (1465), (1466), (1469), (1475), (1476),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481), (1484), (1485), (1491), (1494), (1498),
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772), (1773) are inconsistent by sub-proof #15.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_26_14 = e22 | all_26_15 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (788), (789), (978), (1488), (1774) are
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_18_11 = e22)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_18_11 = e23 | all_18_11 = e21 | all_18_11 =
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (1775) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) ~ (all_14_14 = e22)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_26_6 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1778) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_14_2 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1779) implies:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_14_2 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1452), (1780) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) $false
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1781) is inconsistent.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_26_7 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1783) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_14_6 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1784) implies:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_14_6 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1785) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_14_7 = e22)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1786) implies:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_14_7 = e22)
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1785) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) op2(e21, e22) = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_26_12 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1359), (1789) are inconsistent by
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1790) gives:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_26_13 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (790), (1787), (1791) are inconsistent by
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #88.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_26_14 = e22 | all_26_15 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1792) gives:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_26_14 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (789), (978), (1793) are inconsistent by sub-proof
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #60.
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_26_15 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (1794) imply:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_10_1 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies:
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_10_1 = e22
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1796) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_22_15 = e22
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (941), (1796) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) op2(e22, all_10_2) = all_28_117
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (1796) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) op2(e22, e20) = all_28_111
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (945), (1796) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) op2(all_10_2, e22) = all_28_144
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1796) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) op2(e20, e22) = all_10_2
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (1796) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) op2(e20, e20) = e22
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) (all_22_10 = e23 & ( ~ (all_22_12 = e23) |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (642), (779), (1803) are inconsistent
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #42.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) (all_22_14 = e21 & ( ~ (all_22_10 = e21) |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1805) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_22_14 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (1806) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_4_1 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1807) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) ~ (all_14_2 = e21)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (980), (1807) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ~ (e22 = e21)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (1807) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) op2(e21, e21) = all_28_72
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1807) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) op2(e21, e21) = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_26_0 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1444), (1812) are inconsistent by sub-proof
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (all_26_0 = e21)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_26_2 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (1815) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) e21 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1816) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1817) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_26_6 = e21 | all_26_12 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_26_0 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1444), (1819) are inconsistent by sub-proof
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1481) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_18_8 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (1821) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_14_2 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1822) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_14_2 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (1823) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_26_6 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1823) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_14_3 = e23)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1825) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) ~ (all_14_3 = e23)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (1823) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_14_14 = e23)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1827) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) ~ (all_14_14 = e23)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1823) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) op2(e21, e23) = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1776) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_18_11 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1830) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_14_14 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1828), (1831) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1832) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_18_11 = e23)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_18_11 = e21 | all_18_11 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1834) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_18_11 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1835) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_14_14 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (1836) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1837) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_18_11 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (1838) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_14_14 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1839) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_26_11 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (1839) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) op2(e21, e20) = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1820) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_26_1 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1466), (1842) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_8_2 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1843) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_8_2 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1145), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_28_35 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_28_34 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1140), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_28_19 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1000), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_28_9 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_28_8 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1150), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_28_5 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1476), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) ~ (e23 = e21)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) op2(all_8_0, e21) = all_28_22
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (919), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) op2(e21, all_8_0) = all_28_30
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) op2(e21, e21) = all_28_33
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) op2(e21, e23) = all_28_27
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1459), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) op2(e21, e22) = all_28_24
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) op2(e23, e21) = all_8_0
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1457), (1844) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) op2(e22, e21) = all_28_6
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_26_9 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1859) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_14_12 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1860) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_14_12 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (1861) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) op2(e23, e20) = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_18_13 = e22
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1863) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_14_7 = e22
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1864) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_14_7 = e22
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1787), (1865) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1866) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) ~ (all_18_13 = e22)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_18_13 = e23 | all_18_13 = e21 | all_18_13 =
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_26_6 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1824), (1869) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) e23 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1870) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) e23 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (1871) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1872) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_26_12 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (1873) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_14_3 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1874) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_14_3 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (1875) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) ~ (all_14_7 = e21)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1876) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) ~ (all_14_7 = e21)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (1875) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) op2(e20, e23) = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_26_12 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1873), (1879) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) e23 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (1880) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1881) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1882) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_26_13 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (790), (829), (1883) are inconsistent by sub-proof
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_26_14 = e23 | all_26_15 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1884) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_26_14 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (1885) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_14_11 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1886) implies:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_14_11 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (1887) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) op2(e20, e21) = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1868) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_18_13 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1889) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_14_7 = e23
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1890) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1891) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) ~ (all_18_13 = e23)
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_18_13 = e21 | all_18_13 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1893) gives:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_18_13 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1894) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_14_7 = e21
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1877), (1895) imply:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) $false
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1896) is inconsistent.
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_18_13 = e20
% 57.23/8.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1897) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_14_7 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1787), (1898) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) ~ (e22 = e20)
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (1898) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) op2(e20, e22) = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_26_0 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1444), (1901) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) e22 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1902) implies:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) e22 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1903) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) $false
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1904) is inconsistent.
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_26_1 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1842), (1906) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) e21 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1907) implies:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) e21 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1908) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) $false
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1909) is inconsistent.
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_26_4 = e20 | all_26_9 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_26_4 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (1911) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_14_8 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1912) implies:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_14_8 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (1913) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) op2(e23, e21) = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_10_2, e22, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1801), (1900) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_10_2 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_72, all_28_33, e21,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1810), (1854) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_28_33 = all_28_72
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_33, e21, e21,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1811), (1854) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_28_33 = e21
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_24, e22, e21,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1788), (1856) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_28_24 = e22
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_27, e23, e21,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1829), (1855) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_28_27 = e23
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_111, e20, e22,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1799) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_28_111 = e21
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_6, e21, e22,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (982), (1858) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_28_6 = e22
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_8_0, e21, e23,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1857), (1914) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_8_0 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1916), (1917) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_28_72 = e21
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_28_31 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1001), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_28_15 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (994), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_28_14 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1316), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_28_3 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) h4(e11) = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (1915) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op2(e20, e20) = all_28_156
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1800), (1915) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) op2(e20, e22) = all_28_144
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (1915) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) op2(e20, e20) = all_28_148
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) op2(e20, e20) = all_28_20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) op2(e20, e23) = all_28_18
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1454), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) op2(e20, e22) = all_28_16
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1852), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) op2(e20, e21) = all_28_22
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) op2(e23, e20) = all_28_12
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1798), (1915) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) op2(e22, e20) = all_28_117
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1455), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) op2(e22, e20) = all_28_4
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1853), (1922) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) op2(e21, e20) = all_28_30
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1915) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) op2(e20, e20) = all_10_0
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_156, e20, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1802), (1929) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_28_156 = e22
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_148, all_28_20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e20, simplifying with (1931), (1932) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_28_20 = all_28_148
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_156, all_28_20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e20, simplifying with (1929), (1932) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_28_20 = all_28_156
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_10_0, all_28_20, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1932), (1940) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_28_20 = all_10_0
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_22, e21, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1888), (1935) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_28_22 = e23
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_16, e22, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1900), (1934) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_28_16 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_144, all_28_16,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, e20, simplifying with (1930), (1934) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_28_16 = all_28_144
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_18, e23, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1878), (1933) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_28_18 = e21
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_30, e20, e21,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1841), (1939) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_28_30 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_4, e20, e22,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1938) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_28_4 = e21
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_117, all_28_4, e20,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1937), (1938) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_28_4 = all_28_117
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_12, e20, e23,
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1862), (1936) gives:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_28_12 = e23
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1950), (1951) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_28_117 = e21
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1946), (1947) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_28_144 = e20
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1942), (1944) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_28_148 = all_10_0
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1942), (1943) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_28_148 = all_28_156
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1955), (1956) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_28_156 = all_10_0
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1957) implies:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_28_156 = all_10_0
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1941), (1958) imply:
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_10_0 = e22
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.23/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1955), (1959) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_28_148 = e22
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1942), (1960) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_28_20 = e22
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_24_6 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1962) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_12_2 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1963) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_12_2 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1964) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_20_1 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1964) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) ~ (all_12_3 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1966) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) ~ (all_12_3 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1964) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) ~ (all_12_10 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1968) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) ~ (all_12_10 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (68), (90), (262), (302), (310),
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311), (498), (624), (629), (633), (687), (695),
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699), (738), (777), (854), (856), (955), (960),
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962), (1039), (1042), (1044), (1112), (1121),
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127), (1130), (1154), (1285), (1291), (1292),
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308), (1309), (1332), (1965), (1967), (1969) are
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1970) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_24_7 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (1971) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) e13 = e10
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1972) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) $false
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1973) is inconsistent.
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_24_8 = e13 | all_24_11 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_24_8 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (624), (1975) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_12_10 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1976) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_12_10 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1977) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) ~ (all_12_2 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1977) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) ~ (all_12_11 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1979) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) ~ (all_12_11 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (1977) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) h4(e13) = all_28_21
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_24_6 = e11
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1982) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_12_2 = e11
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1983) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_12_2 = e11
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (1984) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) h4(e11) = all_28_17
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_16_14 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (749), (1980), (1986) are inconsistent by
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) ~ (all_16_14 = e13)
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_16_14 = e11 | all_16_14 = e10
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_24_12 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1989) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_12_3 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1990) implies:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_12_3 = e13
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (1991) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) h4(e13) = all_28_26
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1988) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_16_14 = e11
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (1993) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_12_11 = e11
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (1994) imply:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) h4(e11) = all_28_32
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_17, e11,
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1928), (1985) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_28_17 = e20
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_32, all_28_17, e11,
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1985), (1995) gives:
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_28_17 = all_28_32
% 57.58/8.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_21, e13,
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1453), (1981) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_28_21 = e22
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_26, all_28_21, e13,
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1981), (1992) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_28_21 = all_28_26
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (1997) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_28_32 = e20
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2000) implies:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_28_32 = e20
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1998), (1999) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_28_26 = e22
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) ~ (all_28_0 = all_28_1)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1317), (1461), (2003) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2004) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2005) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) ~ (all_28_2 = all_28_3)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1462), (1927), (2006) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2007) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2008) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_28_4 = all_28_5)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1850), (1950), (2009) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2010) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) ~ (all_28_6 = all_28_7) | ~ (all_28_8 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2011) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) ~ (all_28_6 = all_28_7)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1451), (1921), (2012) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2013) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) ~ (all_28_8 = all_28_9) | ~ (all_28_10 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) ~ (all_28_8 = all_28_9)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1848), (1849), (2015) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2016) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) ~ (all_28_10 = all_28_11) | ~ (all_28_12 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) ~ (all_28_10 = all_28_11)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1449), (1450), (2018) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2019) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2020) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) ~ (all_28_12 = all_28_13)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1002), (1952), (2021) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2022) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) ~ (all_28_14 = all_28_15) | ~ (all_28_16 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) ~ (all_28_14 = all_28_15)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1925), (1926), (2024) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2025) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) ~ (all_28_16 = all_28_17) | ~ (all_28_18 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2026) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) ~ (all_28_16 = all_28_17)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1946), (1996), (2027) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2028) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2029) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) ~ (all_28_18 = all_28_19)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1847), (1948), (2030) imply:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) $false
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2031) is inconsistent.
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2032) gives:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) ~ (all_28_20 = all_28_21)
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1961), (1998), (2033) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2034) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) ~ (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) ~ (all_28_22 = all_28_23)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1172), (1945), (2036) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2037) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) ~ (all_28_24 = all_28_26)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1918), (2002), (2039) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2040) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) ~ (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2041) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) ~ (all_28_27 = all_28_29)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1319), (1919), (2042) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2043) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) ~ (all_28_30 = all_28_32)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1949), (2001), (2045) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2046) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2047) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) ~ (all_28_33 = all_28_35)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1845), (1917), (2048) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2049) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (1448), (1846), (1924), (2050) are
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_16_14 = e10
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (2051) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_12_11 = e10
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1044), (2052) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2053) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_24_13 = e13 | all_24_14 = e13 | all_24_15 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (633), (749), (856), (1039), (1044), (1309),
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980), (1988), (2054) are inconsistent by
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) ~ (all_24_6 = e11)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (2055) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) ~ (all_12_2 = e11)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (736), (852), (1330), (1978), (2056) are
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_24_11 = e13
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1155), (2057) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) e13 = e12
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2058) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2059) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_26_9 = e20
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1859), (2060) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) e23 = e20
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2061) implies:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) e23 = e20
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2062) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2063) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_26_15 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1794), (2064) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) e23 = e22
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2065) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2066) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2067) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_26_10 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (791), (2068) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) e23 = e21
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2069) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2070) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_26_11 = e23 | all_26_15 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_26_11 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1840), (2072) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) e23 = e20
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2073) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2074) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_26_15 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1794), (2075) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) e23 = e22
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2076) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2077) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) ~ (all_26_1 = e21)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1466), (2078) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) ~ (all_8_2 = e21)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_18_12 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2080) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_14_3 = e23
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1826), (2081) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) $false
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2082) is inconsistent.
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_18_12 = e21 | all_18_12 = e20
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2083) gives:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_18_12 = e21
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2084) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_14_3 = e21
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2085) imply:
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) ~ (all_14_7 = e21)
% 57.58/8.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2086) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) ~ (all_14_7 = e21)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_18_13 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2088) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_14_7 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1787), (2089) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2090) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_18_13 = e23 | all_18_13 = e21 | all_18_13 =
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2091) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_18_13 = e23
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2092) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_14_7 = e23
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (2093) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2094) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_18_13 = e21 | all_18_13 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_18_13 = e21
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2096) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_14_7 = e21
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2087), (2097) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2098) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_18_13 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2099) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_14_7 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (2100) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) ~ (all_8_2 = e20)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2101) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) ~ (all_8_2 = e20)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1442), (1464), (1476), (2079), (2102) are
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_18_12 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2103) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_14_3 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2104) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2105) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_18_8 = e21 | all_18_8 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (814), (1808), (2106) are inconsistent by
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1797), (2107) are inconsistent by sub-proof
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_26_8 = e22 | all_26_11 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (551), (980), (1777), (2108) are
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) ~ (all_26_0 = e22)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (2109) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) ~ (all_8_1 = e22)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_26_0 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (2111), (2112) are inconsistent by
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2113) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_26_2 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (2114) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) e22 = e20
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2115) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2116) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_26_6 = e22 | all_26_12 = e22
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (136), (140), (141), (143), (150),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (154), (155), (156), (158), (159), (233),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (239), (240), (242), (280),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (336), (337), (338), (342), (344), (346),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (353), (532), (536), (539), (544),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547), (551), (554), (557), (573), (576), (579),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582), (586), (640), (642), (646), (649), (652),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (656), (660), (662), (705), (707), (709),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710), (718), (728), (730), (778), (779), (780),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788), (789), (790), (792), (808), (814), (816),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822), (823), (824), (825), (827), (829), (833),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834), (835), (839), (841), (842), (846), (848),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849), (973), (976), (1335), (1359), (1443),
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110), (2117) are inconsistent by sub-proof #11.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | (2118) ~ (all_16_13 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2118) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | (2119) ~ (all_12_7 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (474), (508), (1118), (1305), (2119) are
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | (2120) all_16_0 = e13 | all_16_0 = e11 | all_16_0 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (850), (1167), (1287), (2120) are
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | (2121) all_16_1 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (2121) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | (2122) all_12_4 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | SIMP: (2122) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | (2123) all_12_4 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (1122), (2123) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | (2124) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | | CLOSE: (2124) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2125) ~ (all_24_9 = e13)
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | REDUCE: (782), (2125) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2126) ~ (all_12_12 = e13)
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | BETA: splitting (1163) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2127) all_16_3 = e13
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (2127) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2128) all_12_12 = e13
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | REDUCE: (2126), (2128) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2129) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | CLOSE: (2129) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2130) all_16_3 = e11 | all_16_3 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | (2131) all_16_3 = e11
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (2131) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | (2132) all_12_12 = e11
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | REDUCE: (867), (2132) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | (2133) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | (2134) all_16_3 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (2134) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | (2135) all_12_12 = e10
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | REDUCE: (1045), (2135) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | (2136) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | | CLOSE: (2136) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | End of split
% 57.58/8.88 | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | (2137) ~ (all_16_11 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | | (2138) all_16_11 = e13 | all_16_11 = e11 | all_16_11 =
% 57.58/8.88 | | | | | | | | | | | | | | | e10
% 57.58/8.88 | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | REDUCE: (757), (2137) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | (2139) ~ (all_12_14 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 57.58/8.88 | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | (2140) all_24_6 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2140) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | (2141) all_12_2 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | SIMP: (2141) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | (2142) all_12_2 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (2142) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | (2143) all_20_1 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | REDUCE: (95), (2142) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | (2144) ~ (all_12_3 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | SIMP: (2144) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | (2145) ~ (all_12_3 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | REDUCE: (92), (2142) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | (2146) ~ (all_12_14 = e12)
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2147) all_24_12 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2147) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2148) all_12_3 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | SIMP: (2148) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2149) all_12_3 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | REDUCE: (2145), (2149) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2150) $false
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | CLOSE: (2150) is inconsistent.
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | (2151) all_24_13 = e12 | all_24_14 = e12 | all_24_15 =
% 57.58/8.88 | | | | | | | | | | | | | | | | | e12
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | BETA: splitting (2151) gives:
% 57.58/8.88 | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2152) all_24_13 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (2152) imply:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2153) all_12_7 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | SIMP: (2153) implies:
% 57.58/8.88 | | | | | | | | | | | | | | | | | | (2154) all_12_7 = e12
% 57.58/8.88 | | | | | | | | | | | | | | | | | |
% 57.58/8.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (2154) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | (2155) all_20_5 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | REDUCE: (86), (2154) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | (2156) ~ (all_12_4 = e12)
% 57.58/8.89 | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2157) all_24_1 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (2157) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2158) all_12_4 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | SIMP: (2158) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2159) all_12_4 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2159) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2160) ~ (all_12_0 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2159) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2161) ~ (all_12_12 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | REDUCE: (2156), (2159) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2162) ~ (e12 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | REDUCE: (1122), (2159) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | (2163) ~ (e11 = e10)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | (2164) all_24_9 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (2164) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | (2165) all_12_12 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | SIMP: (2165) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | (2166) all_12_12 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (2166) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | (2167) all_20_9 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2166) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | (2168) ~ (all_12_0 = e12)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | (2169) all_16_0 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (2168), (2169) are inconsistent by
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | sub-proof #122.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | (2170) all_16_0 = e13 | all_16_0 = e11 | all_16_0 = e10
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2138) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | (2171) all_16_11 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (2171) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | (2172) all_12_14 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (2172) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | (2173) all_20_13 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2172) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | (2174) all_24_11 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | (2175) all_24_0 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (2175) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | (2176) all_12_0 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2176) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | (2177) all_12_0 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (2177) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | (2178) ~ (all_12_3 = e13)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2178) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | (2179) ~ (all_12_3 = e13)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_24_6 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2180) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | (2181) e12 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2181) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | (2182) e12 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2182) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | (2183) $false
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2183) is inconsistent.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_24_7 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (2185) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2186) e11 = e10
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2163), (2186) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2187) $false
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2187) is inconsistent.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_24_8 = e11 | all_24_11 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_16_12 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (2145), (2189) are inconsistent by
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #115.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_16_12 = e13 | all_16_12 = e11 | all_16_12 =
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_16_12 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (2191) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_12_3 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2192) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_12_3 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2179), (2193) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) $false
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2194) is inconsistent.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_16_12 = e11 | all_16_12 = e10
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_16_12 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (2196) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_12_3 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2197) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_12_3 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2198) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_20_2 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2198) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) ~ (all_12_11 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2200) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) ~ (all_12_11 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_16_14 = e12
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (749), (962), (2202) are inconsistent by sub-proof
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) ~ (all_16_14 = e12)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_16_14 = e13 | all_16_14 = e11 | all_16_14 =
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2204) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_16_14 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (2205) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_12_11 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2206) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_12_11 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (2207) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_20_8 = e13
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2207) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (all_12_10 = e13)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2201), (2207) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) ~ (e13 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2188) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_24_8 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (624), (2211) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_12_10 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2212) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_12_10 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2213) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_20_14 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2209), (2213) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) ~ (e13 = e11)
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13))) | (all_20_3 = e13 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2217) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (777), (2218) are inconsistent by sub-proof
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #131.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_2 = e10 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_1 = e11) | ~ (all_20_14 = e13)))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2219) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2220) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_20_1 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2143), (2221) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) e12 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2222) implies:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) e12 = e11
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2223) imply:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) $false
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2224) is inconsistent.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2163), (2199), (2225) are inconsistent by
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (524), (859), (2227) are inconsistent by sub-proof
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128.
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1121), (2163), (2229) are inconsistent by
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2230) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_20_5 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2155), (2231) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) e12 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2232) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) e12 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2233) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) $false
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2234) is inconsistent.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11))) | (all_20_9 = e13 & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & (
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2235) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (856), (1130), (2208), (2214), (2236) are
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_12 = e10)))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2237) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2238) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_20_9 = e13
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2167), (2239) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) e13 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2240) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) $false
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2241) is inconsistent.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (498), (2243) are inconsistent by sub-proof
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) | ~
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10))
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2244) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_20_13 = e11
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2173), (2245) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) e13 = e11
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2246) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) e13 = e11
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2210), (2247) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) $false
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2248) is inconsistent.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_24_11 = e11
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2174), (2249) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) e13 = e11
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2250) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) e13 = e11
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2210), (2251) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) $false
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2252) is inconsistent.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_16_14 = e11 | all_16_14 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (749), (1044), (2201), (2253) are inconsistent by
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #123.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_16_12 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (854), (2254) are inconsistent by sub-proof
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | (2255) ~ (all_24_0 = e13)
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (2255) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | (2256) ~ (all_12_0 = e13)
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (850), (2160), (2170), (2256) are
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | (2257) all_16_11 = e11 | all_16_11 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (757), (869), (1046), (2257) are inconsistent by
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2258) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (482), (781), (1039), (2139), (2258) are
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2259) ~ (all_24_1 = e11)
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | REDUCE: (786), (2259) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2260) ~ (all_12_4 = e11)
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2261) all_16_1 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (2261) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2262) all_12_4 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (2156), (2262) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2263) $false
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | CLOSE: (2263) is inconsistent.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2264) all_16_1 = e13 | all_16_1 = e11 | all_16_1 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (859), (1122), (2260), (2264) are
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | (2265) ~ (all_24_13 = e12)
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | REDUCE: (474), (2265) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | (2266) ~ (all_12_7 = e12)
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2267) all_24_9 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (2267) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2268) all_12_12 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | SIMP: (2268) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2269) all_12_12 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2269) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2270) ~ (all_12_4 = e12)
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2271) all_24_1 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (2271) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2272) all_12_4 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | SIMP: (2272) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2273) all_12_4 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (2270), (2273) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2274) $false
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | CLOSE: (2274) is inconsistent.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | (2275) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (474), (508), (1118), (2266), (2275) are
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | (2276) all_24_10 = e12 | all_24_11 = e12 | all_24_15 =
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (482), (781), (1039), (2139), (2276) are
% 57.58/8.90 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 57.58/8.90 | | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | End of split
% 57.58/8.90 | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | Case 2:
% 57.58/8.90 | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | (2277) all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | BETA: splitting (2138) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | (2278) all_16_11 = e13
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (2278) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | (2279) all_12_14 = e13
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | SIMP: (2279) implies:
% 57.58/8.90 | | | | | | | | | | | | | | | | | (2280) all_12_14 = e13
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2280) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | (2281) all_24_11 = e13
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | BETA: splitting (2277) gives:
% 57.58/8.90 | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | (2282) all_24_7 = e12
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (2282) imply:
% 57.58/8.90 | | | | | | | | | | | | | | | | | | (2283) e12 = e10
% 57.58/8.90 | | | | | | | | | | | | | | | | | |
% 57.58/8.90 | | | | | | | | | | | | | | | | | | REDUCE: (7), (2283) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | (2284) $false
% 57.58/8.91 | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | CLOSE: (2284) is inconsistent.
% 57.58/8.91 | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.91 | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | (2285) all_24_8 = e12 | all_24_11 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | BETA: splitting (2285) gives:
% 57.58/8.91 | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2286) all_24_8 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (624), (2286) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2287) all_12_10 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | SIMP: (2287) implies:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2288) all_12_10 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | REDUCE: (960), (2288) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2289) $false
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | CLOSE: (2289) is inconsistent.
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2290) all_24_11 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2281), (2290) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2291) e13 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2292) e13 = e12
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2292) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | (2293) $false
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | | CLOSE: (2293) is inconsistent.
% 57.58/8.91 | | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | | End of split
% 57.58/8.91 | | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | End of split
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | Case 2:
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | (2294) all_16_11 = e11 | all_16_11 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | REF_CLOSE: (757), (869), (1046), (2294) are inconsistent by
% 57.58/8.91 | | | | | | | | | | | | | | | | | sub-proof #7.
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | End of split
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | End of split
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | End of split
% 57.58/8.91 | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | Case 2:
% 57.58/8.91 | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | (2295) ~ (all_24_4 = e10)
% 57.58/8.91 | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | REDUCE: (605), (2295) imply:
% 57.58/8.91 | | | | | | | | | | | | | | (2296) ~ (all_12_8 = e10)
% 57.58/8.91 | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 57.58/8.91 | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | Case 1:
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | (2297) all_24_0 = e10
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | COMBINE_EQS: (787), (2297) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | (2298) all_12_0 = e10
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | SIMP: (2298) implies:
% 57.58/8.91 | | | | | | | | | | | | | | | (2299) all_12_0 = e10
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | REDUCE: (850), (2299) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | (2300) $false
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | CLOSE: (2300) is inconsistent.
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | Case 2:
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | (2301) all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 57.58/8.91 | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | Case 1:
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | (2302) all_24_1 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (2302) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | (2303) all_12_4 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | SIMP: (2303) implies:
% 57.58/8.91 | | | | | | | | | | | | | | | | (2304) all_12_4 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | REDUCE: (1122), (2304) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | (2305) $false
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | CLOSE: (2305) is inconsistent.
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | Case 2:
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | (2306) all_24_4 = e10 | all_24_9 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 57.58/8.91 | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | Case 1:
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | (2307) all_24_4 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (2307) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | (2308) all_12_8 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | SIMP: (2308) implies:
% 57.58/8.91 | | | | | | | | | | | | | | | | | (2309) all_12_8 = e10
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | REDUCE: (2296), (2309) imply:
% 57.58/8.91 | | | | | | | | | | | | | | | | | (2310) $false
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.58/8.91 | | | | | | | | | | | | | | | | | CLOSE: (2310) is inconsistent.
% 57.58/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | | (2311) all_24_9 = e10
% 57.82/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (2311) imply:
% 57.82/8.91 | | | | | | | | | | | | | | | | | (2312) all_12_12 = e10
% 57.82/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | | SIMP: (2312) implies:
% 57.82/8.91 | | | | | | | | | | | | | | | | | (2313) all_12_12 = e10
% 57.82/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | | REDUCE: (1045), (2313) imply:
% 57.82/8.91 | | | | | | | | | | | | | | | | | (2314) $false
% 57.82/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | | CLOSE: (2314) is inconsistent.
% 57.82/8.91 | | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | (2315) all_24_8 = e10 | all_24_11 = e10
% 57.82/8.91 | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | BETA: splitting (2315) gives:
% 57.82/8.91 | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | Case 1:
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | (2316) all_24_8 = e10
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | COMBINE_EQS: (624), (2316) imply:
% 57.82/8.91 | | | | | | | | | | | | | | (2317) all_12_10 = e10
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | SIMP: (2317) implies:
% 57.82/8.91 | | | | | | | | | | | | | | (2318) all_12_10 = e10
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | REDUCE: (1112), (2318) imply:
% 57.82/8.91 | | | | | | | | | | | | | | (2319) $false
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | CLOSE: (2319) is inconsistent.
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | (2320) all_24_11 = e10
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | COMBINE_EQS: (482), (2320) imply:
% 57.82/8.91 | | | | | | | | | | | | | | (2321) all_12_14 = e10
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | SIMP: (2321) implies:
% 57.82/8.91 | | | | | | | | | | | | | | (2322) all_12_14 = e10
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | REDUCE: (1046), (2322) imply:
% 57.82/8.91 | | | | | | | | | | | | | | (2323) $false
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | | CLOSE: (2323) is inconsistent.
% 57.82/8.91 | | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | (2324) all_20_13 = e11
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | COMBINE_EQS: (692), (2324) imply:
% 57.82/8.91 | | | | | | | | | | | (2325) all_12_14 = e11
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | SIMP: (2325) implies:
% 57.82/8.91 | | | | | | | | | | | (2326) all_12_14 = e11
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | REDUCE: (869), (2326) imply:
% 57.82/8.91 | | | | | | | | | | | (2327) $false
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | CLOSE: (2327) is inconsistent.
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | End of split
% 57.82/8.91 | | | | | | | |
% 57.82/8.91 | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | |
% 57.82/8.91 | | | | | | | | (2328) ~ (all_24_15 = e10)
% 57.82/8.91 | | | | | | | | (2329) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) &
% 57.82/8.91 | | | | | | | | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)
% 57.82/8.91 | | | | | | | |
% 57.82/8.91 | | | | | | | | ALPHA: (2329) implies:
% 57.82/8.91 | | | | | | | | (2330) all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10
% 57.82/8.91 | | | | | | | | (2331) all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10
% 57.82/8.91 | | | | | | | |
% 57.82/8.91 | | | | | | | | REDUCE: (465), (2328) imply:
% 57.82/8.91 | | | | | | | | (2332) ~ (all_12_15 = e10)
% 57.82/8.91 | | | | | | | |
% 57.82/8.91 | | | | | | | | BETA: splitting (261) gives:
% 57.82/8.91 | | | | | | | |
% 57.82/8.91 | | | | | | | | Case 1:
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | | (2333) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0
% 57.82/8.91 | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11)
% 57.82/8.91 | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10)) |
% 57.82/8.91 | | | | | | | | | (all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3
% 57.82/8.91 | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11)
% 57.82/8.91 | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10))
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | | BETA: splitting (2333) gives:
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | | Case 1:
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | (2334) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0
% 57.82/8.91 | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11)
% 57.82/8.91 | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | ALPHA: (2334) implies:
% 57.82/8.91 | | | | | | | | | | (2335) ~ (all_20_12 = e13) | all_20_0 = e12
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REF_CLOSE: (7), (677), (777), (2335) are inconsistent by
% 57.82/8.91 | | | | | | | | | | sub-proof #133.
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | (2336) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3
% 57.82/8.91 | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11)
% 57.82/8.91 | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REF_CLOSE: (9), (677), (2336) are inconsistent by sub-proof
% 57.82/8.91 | | | | | | | | | | #132.
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | End of split
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | Case 2:
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | | (2337) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6
% 57.82/8.91 | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12)
% 57.82/8.91 | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10)) |
% 57.82/8.91 | | | | | | | | | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9
% 57.82/8.91 | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 =
% 57.82/8.91 | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11))
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | | BETA: splitting (2337) gives:
% 57.82/8.91 | | | | | | | | |
% 57.82/8.91 | | | | | | | | | Case 1:
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | (2338) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6
% 57.82/8.91 | | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12)
% 57.82/8.91 | | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | ALPHA: (2338) implies:
% 57.82/8.91 | | | | | | | | | | (2339) all_20_14 = e11
% 57.82/8.91 | | | | | | | | | | (2340) ~ (all_20_10 = e11) | all_20_6 = e13
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | COMBINE_EQS: (687), (2339) imply:
% 57.82/8.91 | | | | | | | | | | (2341) all_12_10 = e11
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | SIMP: (2341) implies:
% 57.82/8.91 | | | | | | | | | | (2342) all_12_10 = e11
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | COMBINE_EQS: (624), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2343) all_24_8 = e11
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (93), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2344) ~ (all_12_2 = e11)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (79), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2345) ~ (all_12_6 = e11)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (74), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2346) ~ (all_12_8 = e11)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (68), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2347) ~ (all_12_11 = e11)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | SIMP: (2347) implies:
% 57.82/8.91 | | | | | | | | | | (2348) ~ (all_12_11 = e11)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (960), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2349) ~ (e12 = e11)
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (882), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2350) h4(e11) = all_28_21
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | REDUCE: (898), (2342) imply:
% 57.82/8.91 | | | | | | | | | | (2351) h3(e11) = all_28_57
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_28_57, e11,
% 57.82/8.91 | | | | | | | | | | simplifying with (1024), (2351) gives:
% 57.82/8.91 | | | | | | | | | | (2352) all_28_57 = e21
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_0, all_28_21, e11,
% 57.82/8.91 | | | | | | | | | | simplifying with (49), (2350) gives:
% 57.82/8.91 | | | | | | | | | | (2353) all_28_21 = all_8_0
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | BETA: splitting (204) gives:
% 57.82/8.91 | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | Case 1:
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | (2354) all_16_15 = e12
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | COMBINE_EQS: (761), (2354) imply:
% 57.82/8.91 | | | | | | | | | | | (2355) all_12_15 = e12
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | COMBINE_EQS: (701), (2355) imply:
% 57.82/8.91 | | | | | | | | | | | (2356) all_20_15 = e12
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | REDUCE: (60), (2355) imply:
% 57.82/8.91 | | | | | | | | | | | (2357) ~ (all_12_14 = e12)
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | REDUCE: (887), (2355) imply:
% 57.82/8.91 | | | | | | | | | | | (2358) h4(e12) = all_28_35
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | REDUCE: (903), (2355) imply:
% 57.82/8.91 | | | | | | | | | | | (2359) h3(e12) = all_28_71
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | BETA: splitting (262) gives:
% 57.82/8.91 | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | Case 1:
% 57.82/8.91 | | | | | | | | | | | |
% 57.82/8.91 | | | | | | | | | | | | (2360) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 57.82/8.91 | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_14 = e13))) | (all_20_3 = e13 & ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 57.82/8.91 | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 57.82/8.91 | | | | | | | | | | | | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 57.82/8.92 | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | BETA: splitting (2360) gives:
% 57.82/8.92 | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | (2361) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 57.82/8.92 | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_14 = e13)))
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | REF_CLOSE: (7), (683), (695), (777), (854), (2344), (2361)
% 57.82/8.92 | | | | | | | | | | | | | are inconsistent by sub-proof #129.
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | (2362) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 57.82/8.92 | | | | | | | | | | | | | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_14 = e12)))
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | BETA: splitting (2362) gives:
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | (2363) all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_15 = e12))
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | REF_CLOSE: (524), (859), (2363) are inconsistent by sub-proof
% 57.82/8.92 | | | | | | | | | | | | | | #128.
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | (2364) (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | BETA: splitting (2364) gives:
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | (2365) all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | | | | (all_20_15 = e12))
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | REF_CLOSE: (623), (2345), (2365) are inconsistent by
% 57.82/8.92 | | | | | | | | | | | | | | | sub-proof #127.
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | (2366) all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 57.82/8.92 | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | | | (all_20_14 = e12))
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | ALPHA: (2366) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | (2367) ~ (all_20_15 = e12)
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | REDUCE: (2356), (2367) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | (2368) $false
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | CLOSE: (2368) is inconsistent.
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | End of split
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | End of split
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | End of split
% 57.82/8.92 | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | (2369) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 57.82/8.92 | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_12 = e11))) | (all_20_9 = e13 & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & (
% 57.82/8.92 | | | | | | | | | | | | ~ (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 57.82/8.92 | | | | | | | | | | | | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 57.82/8.92 | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 57.82/8.92 | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | BETA: splitting (2369) gives:
% 57.82/8.92 | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | (2370) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 57.82/8.92 | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e11)))
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | REF_CLOSE: (2339), (2370) are inconsistent by sub-proof #4.
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | (2371) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 57.82/8.92 | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 57.82/8.92 | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 57.82/8.92 | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 57.82/8.92 | | | | | | | | | | | | | ~ (all_20_12 = e10)))
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | BETA: splitting (2371) gives:
% 57.82/8.92 | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | (2372) all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) | ~
% 57.82/8.92 | | | | | | | | | | | | | | (all_20_14 = e10))
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | ALPHA: (2372) implies:
% 57.82/8.92 | | | | | | | | | | | | | | (2373) all_20_9 = e13
% 57.82/8.92 | | | | | | | | | | | | | | (2374) ~ (all_20_10 = e10)
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (609), (2373) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2375) all_12_12 = e13
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (782), (2375) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2376) all_24_9 = e13
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | REDUCE: (100), (2375) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2377) ~ (all_12_0 = e13)
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | REDUCE: (72), (2375) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2378) ~ (all_12_8 = e13)
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | REDUCE: (64), (2375) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2379) ~ (all_12_14 = e13)
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | SIMP: (2379) implies:
% 57.82/8.92 | | | | | | | | | | | | | | (2380) ~ (all_12_14 = e13)
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | REDUCE: (875), (2375) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2381) h4(e13) = all_28_7
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | REDUCE: (891), (2375) imply:
% 57.82/8.92 | | | | | | | | | | | | | | (2382) h3(e13) = all_28_43
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | BETA: splitting (2340) gives:
% 57.82/8.92 | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | (2383) ~ (all_20_10 = e11)
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | REDUCE: (600), (2383) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | (2384) ~ (all_12_0 = e11)
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 57.82/8.92 | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | (2385) all_24_0 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (2385) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | (2386) all_12_0 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | SIMP: (2386) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | (2387) all_12_0 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | REDUCE: (2384), (2387) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | (2388) $false
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | CLOSE: (2388) is inconsistent.
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | (2389) ~ (all_24_0 = e11)
% 57.82/8.92 | | | | | | | | | | | | | | | | (2390) all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | (2391) all_16_2 = e12
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (2391) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | (2392) all_12_8 = e12
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | REDUCE: (958), (2392) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | (2393) $false
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | CLOSE: (2393) is inconsistent.
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | (2394) all_16_2 = e13 | all_16_2 = e11 | all_16_2 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | (2395) all_16_2 = e13
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (2395) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | (2396) all_12_8 = e13
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | REDUCE: (2378), (2396) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | (2397) $false
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | CLOSE: (2397) is inconsistent.
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | (2398) all_16_2 = e11 | all_16_2 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2399) all_24_1 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (2399) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2400) all_12_4 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | SIMP: (2400) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2401) all_12_4 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2401) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2402) ~ (all_12_8 = e11)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | REDUCE: (859), (2401) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2403) ~ (e13 = e11)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | SIMP: (2403) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2404) ~ (e13 = e11)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | REDUCE: (873), (2401) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2405) h4(e11) = all_28_3
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | REDUCE: (889), (2401) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | (2406) h3(e11) = all_28_39
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2407) all_16_0 = e12
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (2407) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2408) all_12_0 = e12
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (2408) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2409) ~ (all_12_2 = e12)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2409) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2410) ~ (all_12_2 = e12)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (2408) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2411) ~ (all_12_3 = e12)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | SIMP: (2411) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2412) ~ (all_12_3 = e12)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (2408) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2413) h4(e12) = all_28_1
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (2408) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | (2414) h3(e12) = all_28_37
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | (2415) all_24_9 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2376), (2415) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | (2416) e13 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (2416) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | (2417) e13 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (2417) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | (2418) $false
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2418) is inconsistent.
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | (2419) all_24_10 = e10 | all_24_11 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | (2420) all_16_8 = e12
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (736), (2410), (2420) are inconsistent by
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | sub-proof #120.
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | (2421) ~ (all_16_8 = e12)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | (2422) all_16_8 = e13 | all_16_8 = e11 | all_16_8 = e10
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | (2423) all_24_12 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2423) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | (2424) all_12_3 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2424) implies:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | (2425) all_12_3 = e11
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2425) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | (2426) ~ (e11 = e10)
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (2425) imply:
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | (2427) h4(e11) = all_28_26
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (2425) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | (2428) h3(e11) = all_28_62
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2419) gives:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2429) all_24_10 = e10
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (2429) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2430) e11 = e10
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2430) implies:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2431) e11 = e10
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2426), (2431) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2432) $false
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2432) is inconsistent.
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_24_11 = e10
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2433) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_12_14 = e10
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2434) implies:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_12_14 = e10
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2357), (2435) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2436) ~ (e12 = e10)
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (2435) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2437) h4(e10) = all_28_23
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (899), (2435) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | (2438) h3(e10) = all_28_59
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_16_9 = e12
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (2439) imply:
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_12_6 = e12
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2440) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_12_6 = e12
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (881), (2441) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2442) h4(e12) = all_28_19
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (2441) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | (2443) h3(e12) = all_28_55
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2398) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_16_2 = e11
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (2444) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_12_8 = e11
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2346), (2445) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) $false
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2446) is inconsistent.
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_16_2 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (2447) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_12_8 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (2448) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_12_11 = e10)
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2449) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) ~ (all_12_11 = e10)
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2346), (2448) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) ~ (e11 = e10)
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (874), (2448) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) h4(e10) = all_28_5
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (2448) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) h3(e10) = all_28_41
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_24_12 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2423), (2454) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) e11 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2455) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) e11 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2426), (2456) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) $false
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2457) is inconsistent.
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_24_13 = e10 | all_24_14 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_16_14 = e12
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (749), (962), (2459) are inconsistent by sub-proof
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_16_14 = e13 | all_16_14 = e11 | all_16_14 =
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_24_6 = e13
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2461) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_12_2 = e13
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2462) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_12_2 = e13
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (2463) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) h4(e13) = all_28_17
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (896), (2463) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) h3(e13) = all_28_53
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2460) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_16_14 = e13
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (2466) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_12_11 = e13
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2467) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_24_14 = e13
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (2467) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) h4(e13) = all_28_32
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (2467) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) h3(e13) = all_28_68
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2458) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_24_13 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (2471) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_12_7 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2472) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_12_7 = e10
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (885), (2473) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) h4(e10) = all_28_29
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (2473) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) h3(e10) = all_28_65
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e20, all_28_41, e10,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1008), (2453) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) all_28_41 = e20
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_59, all_28_41, e10,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2438), (2453) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_28_41 = all_28_59
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_65, all_28_41, e10,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2453), (2475) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_28_41 = all_28_65
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e21, all_28_39, e11,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1024), (2406) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_28_39 = e21
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_62, all_28_39, e11,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2406), (2428) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_28_39 = all_28_62
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e22, all_28_37, e12,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (42), (2414) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_28_37 = e22
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_55, all_28_37, e12,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2414), (2443) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_28_37 = all_28_55
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_71, all_28_37, e12,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2359), (2414) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_28_37 = all_28_71
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e23, all_28_53, e13,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (904), (2465) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_28_53 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_53, all_28_43, e13,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2382), (2465) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_28_43 = all_28_53
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_28_68, all_28_43, e13,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2382), (2470) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) all_28_43 = all_28_68
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_2, all_28_5, e10,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (48), (2452) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_28_5 = all_8_2
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_23, all_28_5, e10,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2437), (2452) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_28_5 = all_28_23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_29, all_28_5, e10,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2452), (2474) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_28_5 = all_28_29
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_0, all_28_3, e11,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (2405) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_28_3 = all_8_0
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_26, all_28_3, e11,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2405), (2427) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_28_3 = all_28_26
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_35, all_28_19, e12,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2358), (2442) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_28_19 = all_28_35
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_1, e12,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (2413) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_28_1 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_19, all_28_1, e12,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2413), (2442) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_28_1 = all_28_19
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_32, all_28_17, e13,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2464), (2469) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_28_17 = all_28_32
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_1, all_28_7, e13,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (51), (2381) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_28_7 = all_8_1
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_17, all_28_7, e13,
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2381), (2464) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_28_7 = all_28_17
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2493), (2494) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_28_19 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2498) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_28_19 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2490), (2491) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_28_26 = all_8_0
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2487), (2488) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_28_23 = all_8_2
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2488), (2489) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_28_23 = all_28_29
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2496), (2497) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_28_17 = all_8_1
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2503) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_28_17 = all_8_1
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2495), (2504) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_28_32 = all_8_1
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2492), (2499) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_28_35 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2506) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_28_35 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2502) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_28_29 = all_8_2
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2508) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_28_29 = all_8_2
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2481), (2482) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_28_55 = e22
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2482), (2483) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_28_55 = all_28_71
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2479), (2480) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_28_62 = e21
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2512) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_28_62 = e21
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2477), (2478) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_28_59 = all_28_65
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2476), (2477) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_28_59 = e20
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2485), (2486) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_28_53 = all_28_68
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2516) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_28_53 = all_28_68
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2484), (2517) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_28_68 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2510), (2511) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_28_71 = e22
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2514), (2515) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_28_65 = e20
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2520) implies:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_28_65 = e20
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2486), (2518) imply:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_28_43 = e23
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_18_15 = e22
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (2523) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_10_1 = e22
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2524) implies:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_10_1 = e22
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (2525) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_22_15 = e22
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1016), (2525) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_28_69 = e22
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2525) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) ~ (all_14_3 = e22)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (2525) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) ~ (all_14_14 = e22)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) (all_22_10 = e23 & ( ~ (all_22_12 = e23) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (642), (779), (2530) are inconsistent
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #42.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) (all_22_14 = e21 & ( ~ (all_22_10 = e21) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2531) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2532) implies:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_22_14 = e21
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (2533) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_4_1 = e21
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2534) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_26_8 = e21
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1034), (2534) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_28_56 = e21
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2534) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) ~ (all_14_2 = e21)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2534) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) ~ (all_14_6 = e21)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (2534) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) ~ (all_14_8 = e21)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (980), (2534) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) ~ (e22 = e21)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2541) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2542) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (642), (2543) are inconsistent by sub-proof
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #106.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (649), (2537), (2545) are inconsistent by
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (816), (2546) are inconsistent by sub-proof
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #72.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2547) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (640), (825), (2548) are inconsistent by sub-proof
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2549) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (652), (2538), (2550) are inconsistent by
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2551) implies:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) ~ (all_22_15 = e22)
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2526), (2552) imply:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) $false
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2553) is inconsistent.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)))
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2533), (2555) are inconsistent by sub-proof #99.
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.82/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_12 = e20)))
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2556) gives:
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2557) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) all_22_9 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2558) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_14_12 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (2559) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_26_9 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1020), (2559) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_28_42 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (2559) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) ~ (all_14_14 = e23)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2562) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) ~ (all_14_14 = e23)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_18_11 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2564) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_14_14 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2565) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_14_14 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2529), (2566) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2567) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_18_11 = e23 | all_18_11 = e21 | all_18_11 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_18_11 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (2563), (2569) are inconsistent by
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_18_11 = e21 | all_18_11 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2570) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_18_11 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (846), (2571) are inconsistent by sub-proof
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) all_18_11 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2572) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_14_14 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2573) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_14_14 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1033), (2574) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_28_58 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2574) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) ~ (all_14_6 = e20)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_18_9 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (2577) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_14_6 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1035), (2578) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_28_54 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2578) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_14_2 = e22)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2578) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) ~ (all_14_7 = e22)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2581) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) ~ (all_14_7 = e22)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_18_8 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2583) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_14_2 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2580), (2584) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2585) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_18_8 = e22)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2587) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_18_8 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2588) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_14_2 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (2589) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_26_6 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1036), (2589) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_28_52 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2589) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) ~ (all_14_3 = e23)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2592) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) ~ (all_14_3 = e23)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_26_0 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2594) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_8_1 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2595) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_8_1 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2596) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_28_36 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_18_12 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2598) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_14_3 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2599) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_14_3 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2528), (2600) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2601) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_18_12 = e23 | all_18_12 = e21 | all_18_12 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_26_0 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2594), (2603) are inconsistent by sub-proof
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_26_1 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (2605) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_14_4 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2606) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_14_4 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (2607) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_28_38 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_18_13 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2609) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_14_7 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2582), (2610) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2611) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) ~ (all_18_13 = e22)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_18_13 = e23 | all_18_13 = e21 | all_18_13 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_26_12 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2614) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_14_3 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2615) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_14_3 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (2616) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_28_60 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2616) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) ~ (all_14_7 = e21)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2618) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) ~ (all_14_7 = e21)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (2616) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) ~ (all_14_11 = e21)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2620) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) ~ (all_14_11 = e21)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2613) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_18_13 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2622) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_14_7 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (2623) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2624) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_18_13 = e21 | all_18_13 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2625) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_18_13 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2626) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_14_7 = e21
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2619), (2627) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2628) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_18_13 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2629) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_14_7 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1017), (2630) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_28_63 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2630) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) ~ (all_14_11 = e20)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2632) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) ~ (all_14_11 = e20)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2582), (2630) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) ~ (e22 = e20)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_18_14 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (2635) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_14_11 = e22
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (978), (2636) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2637) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_18_14 = e23 | all_18_14 = e21 | all_18_14 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_26_4 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (2639) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_14_8 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2640) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_14_8 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (2641) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_28_40 = e20
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_18_14 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (2643) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_14_11 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2644) implies:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_14_11 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1032), (2645) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_28_66 = e23
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (463) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) ~ (all_28_36 = all_28_37)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2481), (2597), (2647) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2648) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) ~ (all_28_38 = all_28_39) | ~ (all_28_40 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_44 = all_28_45) | ~ (all_28_46 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2649) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) ~ (all_28_38 = all_28_39)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2479), (2608), (2650) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2651) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) ~ (all_28_40 = all_28_41) | ~ (all_28_42 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_43) | ~ (all_28_44 = all_28_45) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_46 = all_28_47) | ~ (all_28_48 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) ~ (all_28_40 = all_28_41)
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (2642), (2653) imply:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) $false
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2654) is inconsistent.
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) ~ (all_28_42 = all_28_43) | ~ (all_28_44 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_48 = all_28_49) | ~ (all_28_50 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2655) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) ~ (all_28_42 = all_28_43)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2522), (2561), (2656) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2657) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_28_44 = all_28_45) | ~ (all_28_46 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2658) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) ~ (all_28_44 = all_28_45)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (988), (1007), (2659) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2660) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2661) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) ~ (all_28_46 = all_28_47)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (987), (999), (2662) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2663) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) ~ (all_28_48 = all_28_49) | ~ (all_28_50 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2664) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_28_48 = all_28_49)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (998), (1037), (2665) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2666) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2667) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) ~ (all_28_50 = all_28_51)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1022), (1023), (2668) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2669) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) ~ (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2670) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) ~ (all_28_52 = all_28_53)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2591), (2671) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2672) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) ~ (all_28_54 = all_28_55)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2510), (2579), (2674) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2675) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) ~ (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2676) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) ~ (all_28_56 = all_28_57)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2352), (2536), (2677) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2678) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) ~ (all_28_58 = all_28_59)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2515), (2575), (2680) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2681) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) ~ (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) ~ (all_28_60 = all_28_62)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2513), (2617), (2683) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2684) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2685) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) ~ (all_28_63 = all_28_65)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2521), (2631), (2686) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2687) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) ~ (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2688) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) ~ (all_28_66 = all_28_68)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2518), (2646), (2689) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2690) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) &
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2691) gives:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) ~ (all_28_69 = all_28_71)
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2519), (2527), (2692) imply:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) $false
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2693) is inconsistent.
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (801), (1006), (1021), (2694) are
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_18_14 = e21 | all_18_14 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (718), (2621), (2633), (2695) are inconsistent by
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_26_5 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (973), (2697) are inconsistent by sub-proof
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_26_8 = e20 | all_26_14 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_18_14 = e23
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (2699) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_14_11 = e23
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (2700) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_26_14 = e23
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2698) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_26_8 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (822), (2535), (2702) are inconsistent by
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_26_14 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2701), (2703) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) e23 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2704) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) e23 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2705) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2706) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) all_18_14 = e21 | all_18_14 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (718), (2621), (2633), (2707) are inconsistent by
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) ~ (all_26_12 = e21)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2708) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) ~ (all_14_3 = e21)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2602) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_18_12 = e23
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2710) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_14_3 = e23
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2593), (2711) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2712) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_18_12 = e21 | all_18_12 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (816), (2709), (2713) are inconsistent by
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_26_4 = e21 | all_26_9 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2714) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_26_4 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (2715) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_14_8 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2716) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_14_8 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2539), (2717) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2718) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_26_9 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2560), (2719) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) e23 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2720) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) e23 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2721) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2722) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2723) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_26_2 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (2724) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) e22 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2725) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2726) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_26_6 = e22 | all_26_12 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2727) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_26_6 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2590), (2728) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) e23 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2729) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) e23 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2730) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2731) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_26_12 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (2528), (2732) are inconsistent by
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_18_8 = e21 | all_18_8 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (814), (2537), (2733) are inconsistent by
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (710), (728), (827), (846), (2538), (2570),
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) are inconsistent by sub-proof #64.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2735) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (780), (2736) are inconsistent by sub-proof
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20))
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2737) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_22_13 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (2738) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_14_14 = e21
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2739) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2740) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2741) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_22_15 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2526), (2742) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) e22 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2743) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2744) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) ~ (all_18_15 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_18_15 = e23 | all_18_15 = e21 | all_18_15 =
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (2745) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) ~ (all_10_1 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_18_13 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2748) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_14_7 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2749) implies:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_14_7 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_22_5 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_26_13 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) ~ (all_14_3 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) ~ (all_14_4 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) ~ (all_14_6 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) ~ (all_10_1 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (2750) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) op2(e20, e22) = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_18_1 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2758) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_14_4 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2754), (2759) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2760) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_18_1 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_18_1 = e23 | all_18_1 = e21 | all_18_1 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_18_9 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (2763) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_14_6 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2755), (2764) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2765) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_18_12 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (2767) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_14_3 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2753), (2768) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) $false
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2769) is inconsistent.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) ~ (all_18_12 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_18_12 = e23 | all_18_12 = e21 | all_18_12 =
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_18_10 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (980), (2772) are inconsistent by sub-proof
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #110.
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) ~ (all_18_10 = e22)
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_18_10 = e23 | all_18_10 = e21 | all_18_10 =
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_18_3 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (2775) imply:
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_14_12 = e22
% 58.04/8.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (127), (135), (136), (140), (141), (143),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (150), (151), (154), (155), (156), (158),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (234), (236), (237), (238), (239), (240),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (280), (281), (336), (337), (338), (342),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (346), (350), (351), (353), (532), (536),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539), (544), (547), (551), (554), (557), (573),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579), (582), (586), (640), (642), (646), (649),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652), (654), (656), (660), (662), (705), (707),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709), (710), (718), (728), (730), (778), (779),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780), (788), (789), (790), (792), (808), (814),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816), (822), (823), (824), (825), (827), (829),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833), (834), (835), (839), (841), (842), (843),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844), (846), (848), (849), (973), (978), (980),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746), (2776) are inconsistent by sub-proof #3.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) ~ (all_18_3 = e22)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_18_3 = e23 | all_18_3 = e21 | all_18_3 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (2777) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) ~ (all_14_12 = e22)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_26_9 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (2779), (2780) are inconsistent by
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_26_10 = e22 | all_26_11 = e22 | all_26_15 =
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2781) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_26_10 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (791), (2782) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) e22 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2783) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) $false
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2784) is inconsistent.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_26_11 = e22 | all_26_15 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_26_11 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2786) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_14_14 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2787) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_14_14 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (2788) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_22_13 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (2788) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) op2(e21, e20) = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_26_0 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2791) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_8_1 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2792) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_8_1 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2505), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_28_32 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_28_25 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2504), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_28_17 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1003), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_28_11 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (992), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_28_10 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2496), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_28_7 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) ~ (all_14_2 = e22)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) op2(all_8_0, e22) = all_28_16
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (907), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) op2(e22, all_8_0) = all_28_4
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) op2(e22, e22) = all_28_0
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) op2(e22, all_8_2) = all_28_6
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) op2(e22, e23) = all_28_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) op2(all_8_2, e22) = all_28_24
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2793) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) op2(e23, e22) = all_8_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_0, e22, e22,
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (2803) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_28_0 = e23
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_2, e23, e22,
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (2805) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_28_2 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_14_4, all_8_2, e22,
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (185), (2807) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_14_4 = all_8_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_18_1 = all_8_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_22_3 = all_8_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_26_1 = all_8_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) ~ (all_14_6 = all_8_2)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2814) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) ~ (all_14_6 = all_8_2)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) ~ (all_14_8 = all_8_2)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2816) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) ~ (all_14_8 = all_8_2)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) ~ (all_14_12 = all_8_2)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2818) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) ~ (all_14_12 = all_8_2)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) ~ (all_8_2 = e23)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2754), (2810) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) ~ (all_8_2 = e22)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_18_8 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (2822) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_14_2 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2800), (2823) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) $false
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2824) is inconsistent.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) ~ (all_18_8 = e22)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_18_14 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (2827) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_14_11 = e22
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (978), (2828) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) $false
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2829) is inconsistent.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_18_14 = e23 | all_18_14 = e21 | all_18_14 =
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_26_15 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (2831) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_10_1 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2832) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_10_1 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_22_15 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) ~ (all_14_11 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) ~ (all_14_12 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2747), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) ~ (e22 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (939), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) op2(e20, e20) = all_28_108
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) op2(e20, e20) = all_28_111
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) op2(e20, e20) = all_10_2
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (2833) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) op2(e20, e20) = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) (all_22_10 = e23 & ( ~ (all_22_12 = e23) |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (642), (779), (2842) are inconsistent
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #42.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) (all_22_14 = e21 & ( ~ (all_22_10 = e21) |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2843) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (136), (154), (158), (159), (281), (337),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (536), (544), (554), (642), (646), (649),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652), (654), (656), (662), (705), (707), (710),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718), (720), (780), (789), (792), (816), (823),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827), (833), (839), (980), (2751), (2752),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753), (2755), (2766), (2771), (2778), (2789),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812), (2813), (2815), (2819), (2821), (2826),
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830), (2831), (2834), (2835), (2844) are
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2845) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) ~ (all_22_14 = e20) | all_22_13 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2778) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_18_3 = e23
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (2847) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_14_12 = e23
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2848) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) ~ (all_14_8 = e23)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2819), (2848) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) ~ (all_8_2 = e23)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (2848) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) op2(e23, e20) = e23
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2846) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) ~ (all_22_14 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (2852) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) ~ (all_4_1 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_26_6 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (557), (814), (2854) are inconsistent by sub-proof
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28.
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_26_7 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (2856) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_14_6 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2857) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_14_6 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (2858) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_22_4 = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2815), (2858) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) ~ (all_8_2 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2860) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) ~ (all_8_2 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2858) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) ~ (all_4_1 = e20)
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2858) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) op2(e21, e22) = e20
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_26_1 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2813), (2864) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_8_2 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2865) implies:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_8_2 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2812), (2866) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_22_3 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (2866) imply:
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_28_34 = e21
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/8.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2509), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_28_29 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_28_23 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1000), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_28_9 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_28_8 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2487), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_28_5 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2817), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) ~ (all_14_8 = e21)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2820), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) ~ (e23 = e21)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2821), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) ~ (e22 = e21)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) op2(all_8_0, e21) = all_28_22
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (919), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) op2(e21, all_8_0) = all_28_30
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) op2(e21, e21) = all_28_33
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) op2(e21, e23) = all_28_27
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2806), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) op2(e21, e22) = all_28_24
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) op2(e23, e21) = all_8_0
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2804), (2866) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) op2(e22, e21) = all_28_6
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_26_4 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (579), (2884) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_14_8 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2885) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_14_8 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (2886) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_22_6 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2886) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) op2(e23, e21) = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_10_2, all_28_111, e20,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (2839), (2840) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_28_111 = all_10_2
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_111, all_28_108,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e20, simplifying with (2838), (2839) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_28_108 = all_28_111
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_108, e20, e20,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2838), (2841) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_28_108 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_4_1, all_28_33, e21,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (33), (2879) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_28_33 = all_4_1
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_24, e22, e21,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2863), (2881) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_28_24 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_14_2, all_28_27, e23,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (178), (2880) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_28_27 = all_14_2
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_6, e21, e22,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (982), (2883) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_28_6 = e22
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_8_0, e21, e23,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2882), (2888) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_8_0 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2890), (2891) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_28_111 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2897) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_28_111 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2889), (2898) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_10_2 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2899) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_10_2 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_28_31 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2500), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_28_26 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2353), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_28_21 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1001), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_28_15 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (994), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_28_14 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2490), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_28_3 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (2900) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) op2(e20, e20) = all_28_156
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (2900) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) op2(e20, e20) = all_28_148
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) op2(e20, e20) = all_28_20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) op2(e20, e23) = all_28_18
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2801), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) op2(e20, e22) = all_28_16
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2877), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) op2(e20, e21) = all_28_22
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) op2(e23, e20) = all_28_12
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2802), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) op2(e22, e20) = all_28_4
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2878), (2896) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) op2(e21, e20) = all_28_30
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (2900) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) op2(e20, e20) = all_10_0
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_148, e20, e20,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2841), (2908) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_28_148 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_156, all_28_148,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e20, simplifying with (2907), (2908) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_28_148 = all_28_156
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_156, all_28_20,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e20, simplifying with (2907), (2909) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_28_20 = all_28_156
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_10_0, all_28_20, e20,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (2909), (2916) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_28_20 = all_10_0
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_14_11, all_28_22, e21,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (172), (2912) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_28_22 = all_14_11
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_16, e22, e20,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2757), (2911) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_28_16 = e22
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_14_3, all_28_18, e23,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (174), (2910) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_28_18 = all_14_3
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_30, e20, e21,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2790), (2915) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_28_30 = e22
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_4, e20, e22,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (2914) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_28_4 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_12, e20, e23,
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2851), (2913) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_28_12 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2919), (2920) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_28_156 = all_10_0
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2927) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_28_156 = all_10_0
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2917), (2918) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_28_156 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2929) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_28_156 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2928), (2930) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_10_0 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2920), (2931) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_28_20 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_26_12 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2933) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_14_3 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2923), (2934) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_28_18 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2934) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) ~ (all_14_2 = e23)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_26_0 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2791), (2937) are inconsistent by sub-proof
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2938) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_26_2 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (2939) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) e21 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2940) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) $false
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2941) is inconsistent.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_26_6 = e21 | all_26_12 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2942) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_26_6 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (2943) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_14_2 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2944) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_14_2 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2894), (2945) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_28_27 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2945) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) ~ (all_4_1 = e21)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2947) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) ~ (all_4_1 = e21)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) all_26_4 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2884), (2949) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) e21 = e20
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2950) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) $false
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2951) is inconsistent.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2774) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_18_10 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (2953) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_4_1 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2954) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_26_8 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2892), (2954) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_28_33 = e23
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) ~ (all_28_0 = all_28_1)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2808), (2957) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) $false
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2958) is inconsistent.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2952) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_26_5 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (973), (2960) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) e22 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2961) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) e22 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2962) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) $false
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2963) is inconsistent.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_26_8 = e21 | all_26_14 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2964) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_26_8 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2955), (2965) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) e23 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2966) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) e23 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2933), (2967) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_26_12 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (357), (557), (573), (818), (832), (2791),
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936), (2968) are inconsistent by sub-proof #16.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_26_14 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (2969) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_14_11 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2970) implies:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_14_11 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2921), (2971) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_28_22 = e21
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2959) gives:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) ~ (all_28_2 = all_28_3)
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2809), (2906), (2973) imply:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) $false
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2974) is inconsistent.
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2975) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) ~ (all_28_4 = all_28_5)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2873), (2925), (2976) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2977) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) ~ (all_28_6 = all_28_7) | ~ (all_28_8 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2978) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) ~ (all_28_6 = all_28_7)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2799), (2895), (2979) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2980) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) ~ (all_28_8 = all_28_9) | ~ (all_28_10 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2981) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) ~ (all_28_8 = all_28_9)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2871), (2872), (2982) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2983) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) ~ (all_28_10 = all_28_11) | ~ (all_28_12 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2984) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) ~ (all_28_10 = all_28_11)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2797), (2798), (2985) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2986) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2987) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) ~ (all_28_12 = all_28_13)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1002), (2926), (2988) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2989) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) ~ (all_28_14 = all_28_15) | ~ (all_28_16 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2990) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) ~ (all_28_14 = all_28_15)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2904), (2905), (2991) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2992) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) ~ (all_28_16 = all_28_17) | ~ (all_28_18 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2993) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) ~ (all_28_16 = all_28_17)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2796), (2922), (2994) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2995) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) ~ (all_28_18 = all_28_19) | ~ (all_28_20 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2996) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) ~ (all_28_18 = all_28_19)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2499), (2935), (2997) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2998) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2999) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) ~ (all_28_20 = all_28_21)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2903), (2932), (3000) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3001) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_28_22 = all_28_23) | ~ (all_28_24 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3002) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) ~ (all_28_22 = all_28_23)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2870), (2972), (3003) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3004) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3005) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) ~ (all_28_24 = all_28_26)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2893), (2902), (3006) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3007) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) ~ (all_28_27 = all_28_29) | ~ (all_28_30 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3008) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) ~ (all_28_27 = all_28_29)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2869), (2946), (3009) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3010) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3011) gives:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) ~ (all_28_30 = all_28_32)
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2794), (2924), (3012) imply:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) $false
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3013) is inconsistent.
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) ~ (all_28_33 = all_28_35)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2507), (2956), (3015) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) $false
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3016) is inconsistent.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2795), (2868), (2901), (3017) are
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_18_10 = e21 | all_18_10 = e20
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (730), (2853), (2948), (3018) are inconsistent by
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_26_12 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (357), (557), (573), (818), (832), (2791),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936), (3019) are inconsistent by sub-proof #16.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3020) gives:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_26_13 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2752), (3021) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) e23 = e22
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (3022) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) $false
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3023) is inconsistent.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_26_14 = e23 | all_26_15 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3024) gives:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_26_14 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (3025) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_14_11 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3026) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_14_11 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3027) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_22_8 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (3027) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) ~ (all_4_1 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3029) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) ~ (all_4_1 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_26_6 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (3031) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_14_2 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3032) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_14_2 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (3033) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_22_1 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (3033) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) ~ (all_14_3 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3035) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) ~ (all_14_3 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_26_12 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (3037) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_14_3 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3038) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) all_14_3 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3039) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_22_2 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (642), (822), (832), (2751), (2859), (2867),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034), (3040), (3041) are inconsistent by
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (654), (730), (780), (818), (2774), (2789),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834), (2853), (2887), (3028), (3030), (3042) are
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (822), (832), (2752), (2831), (3025), (3043)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #76.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) ~ (all_26_6 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (3044) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) ~ (all_14_2 = e23)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (730), (814), (823), (2774), (2826),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853), (3030), (3045) are inconsistent by
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_26_15 = e23
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2831), (3046) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) e23 = e20
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (3047) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) $false
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3048) is inconsistent.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (551), (789), (973), (2835), (2853), (3049)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #66.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) ~ (all_26_1 = e21)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2813), (3050) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) ~ (all_8_2 = e21)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2762), (2811), (2820), (2861), (3051) are
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_26_8 = e20 | all_26_11 = e20
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (551), (2786), (2853), (3052) are
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) all_22_13 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2789), (3053) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) e22 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3054) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) e22 = e21
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3055) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) $false
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3056) is inconsistent.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_18_3 = e21 | all_18_3 = e20
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (843), (2836), (3057) are inconsistent by
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) ~ (all_26_15 = e20)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3059) implies:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (3058) imply:
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) ~ (all_10_1 = e20)
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (159), (280), (281), (350), (353),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (544), (554), (557), (573), (576), (642),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649), (652), (654), (656), (662), (705), (778),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779), (780), (791), (792), (814), (816), (818),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822), (823), (832), (833), (980), (2751), (2752),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753), (2779), (2786), (2789), (2791), (2812),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813), (2815), (2819), (2820), (2821), (2826),
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060), (3061) are inconsistent by sub-proof #15.
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) ~ (all_26_0 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (3062) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) ~ (all_8_1 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3063) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_26_2 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (3065) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) e22 = e20
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3066) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3067) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) all_26_6 = e22 | all_26_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_26_0 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (3064), (3069) are inconsistent by
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (136), (140), (141), (143), (150),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (151), (154), (155), (156), (158), (159), (233),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (239), (240), (242), (280),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (336), (337), (338), (342), (344), (346),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (351), (353), (532), (536), (539), (544),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547), (551), (554), (557), (573), (576), (579),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582), (586), (640), (642), (646), (649), (652),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (656), (660), (662), (705), (707), (709),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710), (718), (728), (730), (778), (779), (780),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788), (789), (790), (792), (808), (814), (816),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822), (823), (824), (825), (827), (829), (833),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834), (835), (839), (841), (842), (846), (848),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849), (973), (976), (2753), (2754), (2774),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068), (3070) are inconsistent by sub-proof #11.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_26_15 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (788), (2747), (3071) are inconsistent by
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) ~ (all_18_13 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (3072) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) ~ (all_14_7 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_26_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (3074) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_14_3 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3075) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_14_3 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3076) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_22_2 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (3076) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) ~ (all_10_1 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (3076) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) ~ (all_8_1 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3079) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) ~ (all_8_1 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_26_9 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (3081) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_14_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3082) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_14_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (127), (135), (136), (140), (141), (143),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (150), (151), (154), (155), (156), (158),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (234), (236), (237), (238), (239), (240),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (280), (281), (336), (337), (338), (342),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (346), (350), (351), (353), (532), (536),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539), (544), (547), (551), (554), (557), (573),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579), (582), (586), (640), (642), (646), (649),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652), (654), (656), (660), (662), (705), (707),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709), (710), (718), (728), (730), (778), (779),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780), (788), (789), (790), (792), (808), (814),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816), (822), (823), (824), (825), (827), (829),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833), (834), (835), (839), (841), (842), (843),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844), (846), (848), (849), (973), (978), (980),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746), (3083) are inconsistent by sub-proof #3.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_26_9 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3084) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_14_12 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_18_3 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (3086) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_14_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3087) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_14_12 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3085), (3088) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3089) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) ~ (all_18_3 = e22)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_18_3 = e23 | all_18_3 = e21 | all_18_3 = e20
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_18_10 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (3092) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_4_1 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (980), (3093) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3094) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_18_10 = e23 | all_18_10 = e21 | all_18_10 =
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (135), (140), (141), (143), (149),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (150), (156), (158), (233), (240), (243), (280),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (336), (337), (339), (340), (345), (346),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (353), (356), (532), (536), (539), (547),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551), (554), (557), (576), (579), (582), (586),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640), (642), (646), (649), (652), (654), (656),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660), (705), (720), (722), (730), (778), (779),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780), (788), (789), (790), (791), (792), (802),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804), (808), (810), (812), (814), (818), (822),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823), (825), (829), (833), (834), (835), (839),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841), (842), (843), (844), (846), (848), (849),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973), (976), (2747), (3074), (3077), (3080),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085), (3091), (3095) are inconsistent by
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3096) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_26_13 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (3097) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_14_7 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3073), (3098) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3099) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_26_14 = e22 | all_26_15 = e22
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (788), (789), (978), (2747), (3100) are
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_24_14 = e10
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2468), (3101) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) e13 = e10
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3102) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) e13 = e10
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (3103) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3104) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_16_14 = e11 | all_16_14 = e10
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (749), (2348), (2450), (3105) are inconsistent by
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #123.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (783), (861), (2343), (2380), (2404),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) are inconsistent by sub-proof #2.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_16_9 = e12)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (3107) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3108) ~ (all_12_6 = e12)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_24_6 = e13
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (3109) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_12_2 = e13
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3110) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_12_2 = e13
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_24_6 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3109), (3112) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) e13 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3113) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) e13 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3114) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3115) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3116) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_24_7 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (3117) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_12_6 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3118) implies:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_12_6 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3108), (3119) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3120) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_24_8 = e12 | all_24_11 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3121) gives:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_24_8 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2343), (3122) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) e12 = e11
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3123) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3124) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_24_11 = e12
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2433), (3125) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) e12 = e10
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3126) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) $false
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3127) is inconsistent.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (783), (861), (2343), (2380), (2404),
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) are inconsistent by sub-proof #2.
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | (3129) ~ (all_24_12 = e11)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (3129) imply:
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | | (3130) ~ (all_12_3 = e11)
% 58.04/9.03 | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (207), (736), (738), (852), (854), (2344),
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | | (2412), (2422), (3130) are inconsistent by
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #112.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3131) all_16_0 = e13 | all_16_0 = e11 | all_16_0 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (850), (2377), (2384), (3131) are
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (3132) ~ (all_24_1 = e11)
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | REDUCE: (786), (3132) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (3133) ~ (all_12_4 = e11)
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (2398) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3134) all_16_2 = e11
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (3134) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3135) all_12_8 = e11
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (2346), (3135) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3136) $false
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | CLOSE: (3136) is inconsistent.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3137) all_16_2 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (745), (3137) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3138) all_12_8 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (3138) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3139) ~ (all_12_4 = e10)
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | (3140) all_16_1 = e12
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (3140) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | (3141) all_12_4 = e12
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (3141) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | (3142) ~ (all_12_0 = e12)
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | (3143) all_16_0 = e12
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (3143) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | (3144) all_12_0 = e12
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3142), (3144) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | (3145) $false
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3145) is inconsistent.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | (3146) all_16_0 = e13 | all_16_0 = e11 | all_16_0 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (751), (850), (2377), (2384), (3146) are
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | (3147) all_16_1 = e13 | all_16_1 = e11 | all_16_1 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (859), (3133), (3139), (3147) are
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | (3148) all_20_6 = e13
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | COMBINE_EQS: (678), (3148) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | (3149) all_12_8 = e13
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | SIMP: (3149) implies:
% 58.04/9.04 | | | | | | | | | | | | | | | (3150) all_12_8 = e13
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | REDUCE: (2378), (3150) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | (3151) $false
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | CLOSE: (3151) is inconsistent.
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | (3152) (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 58.04/9.04 | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.04/9.04 | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 58.04/9.04 | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 58.04/9.04 | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | REF_CLOSE: (8), (498), (692), (869), (3152) are inconsistent
% 58.04/9.04 | | | | | | | | | | | | | | by sub-proof #1.
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | (3153) all_16_15 = e13 | all_16_15 = e11 | all_16_15 =
% 58.04/9.04 | | | | | | | | | | | e10
% 58.04/9.04 | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | BETA: splitting (3153) gives:
% 58.04/9.04 | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | (3154) all_16_15 = e13
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | COMBINE_EQS: (761), (3154) imply:
% 58.04/9.04 | | | | | | | | | | | | (3155) all_12_15 = e13
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | REDUCE: (66), (3155) imply:
% 58.04/9.04 | | | | | | | | | | | | (3156) ~ (all_12_11 = e13)
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | REDUCE: (63), (3155) imply:
% 58.04/9.04 | | | | | | | | | | | | (3157) ~ (all_12_12 = e13)
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | REDUCE: (60), (3155) imply:
% 58.04/9.04 | | | | | | | | | | | | (3158) ~ (all_12_14 = e13)
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | REDUCE: (871), (3155) imply:
% 58.04/9.04 | | | | | | | | | | | | (3159) ~ (e13 = e11)
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | BETA: splitting (205) gives:
% 58.04/9.04 | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | (3160) all_16_14 = e12
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | COMBINE_EQS: (749), (3160) imply:
% 58.04/9.04 | | | | | | | | | | | | | (3161) all_12_11 = e12
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | REDUCE: (962), (3161) imply:
% 58.04/9.04 | | | | | | | | | | | | | (3162) $false
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | CLOSE: (3162) is inconsistent.
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | (3163) ~ (all_16_14 = e12)
% 58.04/9.04 | | | | | | | | | | | | | (3164) all_16_14 = e13 | all_16_14 = e11 | all_16_14 =
% 58.04/9.04 | | | | | | | | | | | | | e10
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | BETA: splitting (308) gives:
% 58.04/9.04 | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | (3165) all_24_6 = e13
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | COMBINE_EQS: (620), (3165) imply:
% 58.04/9.04 | | | | | | | | | | | | | | (3166) all_12_2 = e13
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | SIMP: (3166) implies:
% 58.04/9.04 | | | | | | | | | | | | | | (3167) all_12_2 = e13
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | COMBINE_EQS: (683), (3167) imply:
% 58.04/9.04 | | | | | | | | | | | | | | (3168) all_20_1 = e13
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | BETA: splitting (3164) gives:
% 58.04/9.04 | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | (3169) all_16_14 = e13
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | REF_CLOSE: (749), (3156), (3169) are inconsistent by
% 58.04/9.04 | | | | | | | | | | | | | | | sub-proof #13.
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | (3170) all_16_14 = e11 | all_16_14 = e10
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | BETA: splitting (3170) gives:
% 58.04/9.04 | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | (3171) all_16_14 = e11
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (3171) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3172) all_12_11 = e11
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | SIMP: (3172) implies:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3173) all_12_11 = e11
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | REDUCE: (2348), (3173) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3174) $false
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | CLOSE: (3174) is inconsistent.
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | (3175) all_16_14 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (749), (3175) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3176) all_12_11 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | SIMP: (3176) implies:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3177) all_12_11 = e10
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | REDUCE: (77), (3177) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3178) ~ (all_12_7 = e10)
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | REDUCE: (962), (3177) imply:
% 58.04/9.04 | | | | | | | | | | | | | | | | (3179) ~ (e12 = e10)
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | (3180) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_14 = e13))) | (all_20_3 = e13 & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 58.04/9.04 | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | BETA: splitting (3180) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (3181) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_14 = e13)))
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | BETA: splitting (3181) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (3182) all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (777), (3182) are inconsistent by sub-proof
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | #131.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (3183) (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_2 = e10 & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | (all_20_1 = e11) | ~ (all_20_14 = e13)))
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (3183) gives:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3184) all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13))
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3159), (3168), (3184) are inconsistent by
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | sub-proof #119.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (3185) all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13))
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (854), (3185) are inconsistent by sub-proof
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | | #130.
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (3186) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 58.04/9.04 | | | | | | | | | | | | | | | | | | (all_20_14 = e12)))
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (524), (623), (696), (859), (2345), (3178), (3186)
% 58.04/9.04 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #126.
% 58.04/9.04 | | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | | End of split
% 58.04/9.04 | | | | | | | | | | | | | | | | |
% 58.04/9.04 | | | | | | | | | | | | | | | | Case 2:
% 58.04/9.04 | | | | | | | | | | | | | | | | |
% 58.39/9.04 | | | | | | | | | | | | | | | | | (3187) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_12 = e11))) | (all_20_9 = e13 & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & (
% 58.39/9.04 | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 58.39/9.04 | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 58.39/9.04 | | | | | | | | | | | | | | | | |
% 58.39/9.04 | | | | | | | | | | | | | | | | | BETA: splitting (3187) gives:
% 58.39/9.04 | | | | | | | | | | | | | | | | |
% 58.39/9.04 | | | | | | | | | | | | | | | | | Case 1:
% 58.39/9.04 | | | | | | | | | | | | | | | | | |
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (3188) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 58.39/9.04 | | | | | | | | | | | | | | | | | | (all_20_12 = e11)))
% 58.39/9.04 | | | | | | | | | | | | | | | | | |
% 58.39/9.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2339), (3188) are inconsistent by sub-proof #4.
% 58.39/9.04 | | | | | | | | | | | | | | | | | |
% 58.39/9.04 | | | | | | | | | | | | | | | | | Case 2:
% 58.39/9.04 | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (3189) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | ~ (all_20_12 = e10)))
% 58.39/9.05 | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives:
% 58.39/9.05 | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | Case 1:
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (3190) all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) | ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_14 = e10))
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (3191) all_20_9 = e13
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (3191) imply:
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (3192) all_12_12 = e13
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | SIMP: (3192) implies:
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (3193) all_12_12 = e13
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | REDUCE: (3157), (3193) imply:
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (3194) $false
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | CLOSE: (3194) is inconsistent.
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | Case 2:
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (3195) (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (498), (692), (869), (3195) are inconsistent
% 58.39/9.05 | | | | | | | | | | | | | | | | | | | by sub-proof #1.
% 58.39/9.05 | | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | Case 2:
% 58.39/9.05 | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | (3196) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 58.39/9.05 | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | | REF_CLOSE: (482), (783), (861), (2343), (3158), (3159),
% 58.39/9.05 | | | | | | | | | | | | | | (3196) are inconsistent by sub-proof #2.
% 58.39/9.05 | | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | Case 2:
% 58.39/9.05 | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | (3197) all_16_15 = e11 | all_16_15 = e10
% 58.39/9.05 | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | BETA: splitting (3197) gives:
% 58.39/9.05 | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | Case 1:
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | (3198) all_16_15 = e11
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | COMBINE_EQS: (761), (3198) imply:
% 58.39/9.05 | | | | | | | | | | | | | (3199) all_12_15 = e11
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | REDUCE: (871), (3199) imply:
% 58.39/9.05 | | | | | | | | | | | | | (3200) $false
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | CLOSE: (3200) is inconsistent.
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | Case 2:
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | (3201) all_16_15 = e10
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | COMBINE_EQS: (761), (3201) imply:
% 58.39/9.05 | | | | | | | | | | | | | (3202) all_12_15 = e10
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | REDUCE: (2332), (3202) imply:
% 58.39/9.05 | | | | | | | | | | | | | (3203) $false
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | | CLOSE: (3203) is inconsistent.
% 58.39/9.05 | | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | Case 2:
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | (3204) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9
% 58.39/9.05 | | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 =
% 58.39/9.05 | | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11)
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | ALPHA: (3204) implies:
% 58.39/9.05 | | | | | | | | | | (3205) all_20_15 = e10
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | COMBINE_EQS: (701), (3205) imply:
% 58.39/9.05 | | | | | | | | | | (3206) all_12_15 = e10
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | SIMP: (3206) implies:
% 58.39/9.05 | | | | | | | | | | (3207) all_12_15 = e10
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | REDUCE: (2332), (3207) imply:
% 58.39/9.05 | | | | | | | | | | (3208) $false
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | | CLOSE: (3208) is inconsistent.
% 58.39/9.05 | | | | | | | | | |
% 58.39/9.05 | | | | | | | | | End of split
% 58.39/9.05 | | | | | | | | |
% 58.39/9.05 | | | | | | | | End of split
% 58.39/9.05 | | | | | | | |
% 58.39/9.05 | | | | | | | End of split
% 58.39/9.05 | | | | | | |
% 58.39/9.05 | | | | | | Case 2:
% 58.39/9.05 | | | | | | |
% 58.39/9.05 | | | | | | | (3209) all_26_10 = e22
% 58.39/9.05 | | | | | | |
% 58.39/9.05 | | | | | | | COMBINE_EQS: (791), (3209) imply:
% 58.39/9.05 | | | | | | | (3210) e22 = e21
% 58.39/9.05 | | | | | | |
% 58.39/9.05 | | | | | | | REDUCE: (11), (3210) imply:
% 58.39/9.05 | | | | | | | (3211) $false
% 58.39/9.05 | | | | | | |
% 58.39/9.05 | | | | | | | CLOSE: (3211) is inconsistent.
% 58.39/9.05 | | | | | | |
% 58.39/9.05 | | | | | | End of split
% 58.39/9.05 | | | | | |
% 58.39/9.05 | | | | | End of split
% 58.39/9.05 | | | | |
% 58.39/9.05 | | | | End of split
% 58.39/9.05 | | | |
% 58.39/9.05 | | | Case 2:
% 58.39/9.05 | | | |
% 58.39/9.05 | | | | (3212) all_24_10 = e12
% 58.39/9.05 | | | |
% 58.39/9.05 | | | | COMBINE_EQS: (781), (3212) imply:
% 58.39/9.05 | | | | (3213) e12 = e11
% 58.39/9.05 | | | |
% 58.39/9.05 | | | | REDUCE: (8), (3213) imply:
% 58.39/9.05 | | | | (3214) $false
% 58.39/9.05 | | | |
% 58.39/9.05 | | | | CLOSE: (3214) is inconsistent.
% 58.39/9.05 | | | |
% 58.39/9.05 | | | End of split
% 58.39/9.05 | | |
% 58.39/9.05 | | End of split
% 58.39/9.05 | |
% 58.39/9.05 | End of split
% 58.39/9.05 |
% 58.39/9.05 End of proof
% 58.39/9.05
% 58.39/9.05 Sub-proof #1 shows that the following formulas are inconsistent:
% 58.39/9.05 ----------------------------------------------------------------
% 58.39/9.05 (1) ~ (all_12_14 = e11)
% 58.39/9.05 (2) ~ (e12 = e11)
% 58.39/9.05 (3) all_20_11 = e11
% 58.39/9.05 (4) (all_20_11 = e12 & ~ (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.05 (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_13 = e11) | ~
% 58.39/9.05 (all_20_14 = e10))) | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 58.39/9.05 (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.39/9.05 (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 58.39/9.05 (5) all_20_13 = all_12_14
% 58.39/9.05
% 58.39/9.05 Begin of proof
% 58.39/9.05 |
% 58.39/9.05 | BETA: splitting (4) gives:
% 58.39/9.05 |
% 58.39/9.05 | Case 1:
% 58.39/9.05 | |
% 58.39/9.05 | | (6) all_20_11 = e12 & ~ (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.05 | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 58.39/9.05 | | ~ (all_20_14 = e10))
% 58.39/9.05 | |
% 58.39/9.05 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #124.
% 58.39/9.05 | |
% 58.39/9.05 | Case 2:
% 58.39/9.05 | |
% 58.39/9.05 | | (7) all_20_13 = e11 & ~ (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.39/9.05 | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 58.39/9.05 | | ~ (all_20_12 = e10))
% 58.39/9.05 | |
% 58.39/9.05 | | ALPHA: (7) implies:
% 58.39/9.05 | | (8) all_20_13 = e11
% 58.39/9.05 | |
% 58.39/9.05 | | COMBINE_EQS: (5), (8) imply:
% 58.39/9.05 | | (9) all_12_14 = e11
% 58.39/9.05 | |
% 58.39/9.05 | | SIMP: (9) implies:
% 58.39/9.05 | | (10) all_12_14 = e11
% 58.39/9.05 | |
% 58.39/9.05 | | REDUCE: (1), (10) imply:
% 58.39/9.05 | | (11) $false
% 58.39/9.05 | |
% 58.39/9.05 | | CLOSE: (11) is inconsistent.
% 58.39/9.05 | |
% 58.39/9.05 | End of split
% 58.39/9.05 |
% 58.39/9.05 End of proof
% 58.39/9.05
% 58.39/9.05 Sub-proof #2 shows that the following formulas are inconsistent:
% 58.39/9.05 ----------------------------------------------------------------
% 58.39/9.05 (1) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 58.39/9.05 (2) ~ (e13 = e11)
% 58.39/9.05 (3) all_24_11 = all_12_14
% 58.39/9.05 (4) ~ (all_12_6 = e13)
% 58.39/9.05 (5) all_24_7 = all_12_6
% 58.39/9.05 (6) ~ (all_12_14 = e13)
% 58.39/9.05 (7) all_24_8 = e11
% 58.39/9.05
% 58.39/9.05 Begin of proof
% 58.39/9.05 |
% 58.39/9.05 | BETA: splitting (1) gives:
% 58.39/9.05 |
% 58.39/9.05 | Case 1:
% 58.39/9.05 | |
% 58.39/9.05 | | (8) all_24_7 = e13
% 58.39/9.05 | |
% 58.39/9.05 | | COMBINE_EQS: (5), (8) imply:
% 58.39/9.05 | | (9) all_12_6 = e13
% 58.39/9.05 | |
% 58.39/9.05 | | SIMP: (9) implies:
% 58.39/9.05 | | (10) all_12_6 = e13
% 58.39/9.05 | |
% 58.39/9.05 | | REDUCE: (4), (10) imply:
% 58.39/9.05 | | (11) $false
% 58.39/9.05 | |
% 58.39/9.05 | | CLOSE: (11) is inconsistent.
% 58.39/9.05 | |
% 58.39/9.05 | Case 2:
% 58.39/9.05 | |
% 58.39/9.05 | | (12) all_24_8 = e13 | all_24_11 = e13
% 58.39/9.05 | |
% 58.39/9.05 | | BETA: splitting (12) gives:
% 58.39/9.05 | |
% 58.39/9.05 | | Case 1:
% 58.39/9.05 | | |
% 58.39/9.05 | | | (13) all_24_8 = e13
% 58.39/9.05 | | |
% 58.39/9.05 | | | COMBINE_EQS: (7), (13) imply:
% 58.39/9.05 | | | (14) e13 = e11
% 58.39/9.05 | | |
% 58.39/9.05 | | | REDUCE: (2), (14) imply:
% 58.39/9.05 | | | (15) $false
% 58.39/9.05 | | |
% 58.39/9.05 | | | CLOSE: (15) is inconsistent.
% 58.39/9.05 | | |
% 58.39/9.05 | | Case 2:
% 58.39/9.05 | | |
% 58.39/9.05 | | | (16) all_24_11 = e13
% 58.39/9.05 | | |
% 58.39/9.05 | | | COMBINE_EQS: (3), (16) imply:
% 58.39/9.05 | | | (17) all_12_14 = e13
% 58.39/9.05 | | |
% 58.39/9.05 | | | SIMP: (17) implies:
% 58.39/9.05 | | | (18) all_12_14 = e13
% 58.39/9.05 | | |
% 58.39/9.05 | | | REDUCE: (6), (18) imply:
% 58.39/9.05 | | | (19) $false
% 58.39/9.05 | | |
% 58.39/9.05 | | | CLOSE: (19) is inconsistent.
% 58.39/9.05 | | |
% 58.39/9.05 | | End of split
% 58.39/9.05 | |
% 58.39/9.05 | End of split
% 58.39/9.05 |
% 58.39/9.05 End of proof
% 58.39/9.05
% 58.39/9.05 Sub-proof #3 shows that the following formulas are inconsistent:
% 58.39/9.05 ----------------------------------------------------------------
% 58.39/9.05 (1) all_22_11 = e21
% 58.39/9.05 (2) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 58.39/9.05 (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 58.39/9.05 (3) all_18_11 = all_14_14
% 58.39/9.05 (4) ~ (all_14_7 = e23)
% 58.39/9.05 (5) ~ (all_14_2 = all_14_6)
% 58.39/9.05 (6) all_26_12 = all_14_3
% 58.39/9.05 (7) ~ (all_14_14 = all_4_1)
% 58.39/9.05 (8) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.39/9.05 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.39/9.05 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 58.39/9.05 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.39/9.05 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 58.39/9.05 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 58.39/9.05 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 58.39/9.05 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.39/9.05 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 58.39/9.05 all_22_13 = e21))
% 58.39/9.05 (9) all_26_7 = all_14_6
% 58.39/9.05 (10) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 58.39/9.05 (11) ~ (all_14_14 = e21)
% 58.39/9.05 (12) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 58.39/9.05 (13) all_18_9 = all_14_6
% 58.39/9.05 (14) all_18_15 = all_10_1
% 58.39/9.05 (15) all_22_13 = all_14_14
% 58.39/9.05 (16) ~ (all_14_12 = all_10_1)
% 58.39/9.05 (17) ~ (e21 = e20)
% 58.39/9.05 (18) ~ (all_14_2 = e20)
% 58.39/9.05 (19) ~ (all_14_7 = all_10_1)
% 58.39/9.05 (20) ~ (all_14_6 = all_4_1)
% 58.39/9.06 (21) ~ (all_4_1 = e22)
% 58.39/9.06 (22) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 58.39/9.06 (23) all_22_15 = all_10_1
% 58.39/9.06 (24) ~ (all_14_8 = all_4_1)
% 58.39/9.06 (25) all_22_4 = all_14_6
% 58.39/9.06 (26) ~ (all_14_2 = all_4_1)
% 58.39/9.06 (27) all_26_14 = all_14_11
% 58.39/9.06 (28) ~ (all_14_7 = all_14_11)
% 58.39/9.06 (29) all_22_2 = all_14_3
% 58.39/9.06 (30) ~ (all_14_11 = e22)
% 58.39/9.06 (31) all_14_12 = e22
% 58.39/9.06 (32) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 58.39/9.06 (33) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 58.39/9.06 (34) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 58.39/9.06 (35) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 58.39/9.06 (36) all_26_4 = all_14_8
% 58.39/9.06 (37) ~ (all_14_6 = all_14_14)
% 58.39/9.06 (38) ~ (all_14_4 = all_8_1)
% 58.39/9.06 (39) all_22_0 = e20
% 58.39/9.06 (40) all_22_6 = all_14_8
% 58.39/9.06 (41) all_22_3 = all_14_4
% 58.39/9.06 (42) all_18_8 = all_14_2
% 58.39/9.06 (43) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.39/9.06 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.39/9.06 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.39/9.06 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.39/9.06 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.39/9.06 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.39/9.06 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.39/9.06 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.39/9.06 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.39/9.06 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.39/9.06 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.39/9.06 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.39/9.06 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.39/9.06 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 58.39/9.06 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.39/9.06 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.39/9.06 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.39/9.06 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.39/9.06 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.39/9.06 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.39/9.06 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.39/9.06 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.39/9.06 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.39/9.06 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.39/9.06 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.39/9.06 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.39/9.06 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.39/9.06 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.39/9.06 (44) all_22_9 = all_14_12
% 58.39/9.06 (45) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 58.39/9.06 (46) ~ (all_14_8 = all_14_12)
% 58.39/9.06 (47) ~ (all_14_4 = all_14_12)
% 58.39/9.06 (48) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 58.39/9.06 (49) all_26_8 = all_4_1
% 58.39/9.06 (50) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 58.39/9.06 (51) ~ (all_14_3 = e20)
% 58.39/9.06 (52) all_18_14 = all_14_11
% 58.39/9.06 (53) all_18_1 = all_14_4
% 58.39/9.06 (54) all_22_14 = all_4_1
% 58.39/9.06 (55) ~ (all_10_1 = e21)
% 58.39/9.06 (56) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 58.39/9.06 (57) ~ (all_14_4 = all_14_7)
% 58.39/9.06 (58) ~ (all_14_8 = all_14_11)
% 58.39/9.06 (59) all_22_8 = all_14_11
% 58.39/9.06 (60) ~ (all_14_11 = all_4_1)
% 58.39/9.06 (61) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.39/9.06 (62) ~ (all_14_3 = all_10_1)
% 58.39/9.06 (63) ~ (e23 = e22)
% 58.39/9.06 (64) all_18_12 = all_14_3
% 58.39/9.06 (65) ~ (all_14_6 = e23)
% 58.39/9.06 (66) all_18_15 = e23 | all_18_15 = e21 | all_18_15 = e20
% 58.39/9.06 (67) ~ (all_14_3 = all_14_11)
% 58.39/9.06 (68) ~ (all_14_6 = all_14_7)
% 58.39/9.06 (69) ~ (all_14_4 = all_14_6)
% 58.39/9.06 (70) all_26_11 = all_14_14
% 58.39/9.06 (71) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 58.39/9.06 (72) ~ (all_14_3 = all_14_7)
% 58.39/9.06 (73) all_26_3 = e23
% 58.39/9.06 (74) all_22_5 = all_14_7
% 58.39/9.06 (75) all_26_5 = e22
% 58.39/9.06 (76) all_26_2 = e20
% 58.39/9.06 (77) all_26_1 = all_14_4
% 58.39/9.06 (78) all_18_10 = all_4_1
% 58.39/9.06 (79) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 58.39/9.06 (80) ~ (all_14_2 = all_14_14)
% 58.39/9.06 (81) ~ (all_14_12 = e21)
% 58.39/9.06 (82) all_22_1 = all_14_2
% 58.39/9.06 (83) ~ (all_14_14 = all_10_1)
% 58.39/9.06 (84) ~ (all_14_11 = all_10_1)
% 58.39/9.06 (85) all_26_6 = all_14_2
% 58.39/9.06 (86) all_26_0 = all_8_1
% 58.39/9.06 (87) ~ (all_14_4 = e23)
% 58.39/9.06 (88) all_26_15 = all_10_1
% 58.39/9.06 (89) all_26_13 = all_14_7
% 58.39/9.06 (90) ~ (all_14_2 = all_14_3)
% 58.39/9.06 (91) ~ (all_14_12 = all_14_14)
% 58.39/9.06 (92) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 58.39/9.06 (93) all_22_12 = e23
% 58.39/9.06
% 58.39/9.06 Begin of proof
% 58.39/9.06 |
% 58.39/9.06 | COMBINE_EQS: (31), (44) imply:
% 58.39/9.06 | (94) all_22_9 = e22
% 58.39/9.06 |
% 58.39/9.06 | REDUCE: (31), (47) imply:
% 58.39/9.06 | (95) ~ (all_14_4 = e22)
% 58.39/9.06 |
% 58.39/9.06 | REDUCE: (31), (46) imply:
% 58.39/9.06 | (96) ~ (all_14_8 = e22)
% 58.39/9.06 |
% 58.39/9.06 | REDUCE: (31), (91) imply:
% 58.39/9.06 | (97) ~ (all_14_14 = e22)
% 58.39/9.06 |
% 58.39/9.06 | SIMP: (97) implies:
% 58.39/9.06 | (98) ~ (all_14_14 = e22)
% 58.39/9.06 |
% 58.39/9.06 | REDUCE: (16), (31) imply:
% 58.39/9.06 | (99) ~ (all_10_1 = e22)
% 58.39/9.06 |
% 58.39/9.06 | SIMP: (99) implies:
% 58.39/9.06 | (100) ~ (all_10_1 = e22)
% 58.39/9.06 |
% 58.39/9.06 | REDUCE: (31), (81) imply:
% 58.39/9.06 | (101) ~ (e22 = e21)
% 58.39/9.06 |
% 58.39/9.06 | BETA: splitting (71) gives:
% 58.39/9.06 |
% 58.39/9.06 | Case 1:
% 58.39/9.06 | |
% 58.39/9.06 | | (102) all_18_11 = e22
% 58.39/9.06 | |
% 58.39/9.06 | | COMBINE_EQS: (3), (102) imply:
% 58.39/9.06 | | (103) all_14_14 = e22
% 58.39/9.06 | |
% 58.39/9.06 | | REDUCE: (98), (103) imply:
% 58.39/9.06 | | (104) $false
% 58.39/9.06 | |
% 58.39/9.06 | | CLOSE: (104) is inconsistent.
% 58.39/9.06 | |
% 58.39/9.06 | Case 2:
% 58.39/9.06 | |
% 58.39/9.06 | | (105) ~ (all_18_11 = e22)
% 58.39/9.06 | | (106) all_18_11 = e23 | all_18_11 = e21 | all_18_11 = e20
% 58.39/9.06 | |
% 58.39/9.06 | | BETA: splitting (50) gives:
% 58.39/9.06 | |
% 58.39/9.06 | | Case 1:
% 58.39/9.06 | | |
% 58.39/9.06 | | | (107) all_18_10 = e22
% 58.39/9.06 | | |
% 58.39/9.06 | | | REF_CLOSE: (21), (78), (107) are inconsistent by sub-proof #110.
% 58.39/9.06 | | |
% 58.39/9.06 | | Case 2:
% 58.39/9.06 | | |
% 58.39/9.06 | | | (108) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 58.39/9.06 | | |
% 58.39/9.06 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 58.39/9.06 | | | (13), (14), (15), (17), (18), (19), (20), (21), (22), (23),
% 58.39/9.06 | | | (24), (25), (26), (27), (28), (29), (30), (32), (33), (34),
% 58.39/9.06 | | | (35), (36), (37), (38), (39), (40), (41), (42), (43), (45),
% 58.39/9.06 | | | (48), (49), (51), (52), (53), (54), (55), (56), (57), (58),
% 58.39/9.06 | | | (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 58.39/9.06 | | | (69), (70), (72), (73), (74), (75), (76), (77), (78), (79),
% 58.39/9.06 | | | (80), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 58.39/9.06 | | | (92), (93), (94), (95), (96), (98), (100), (101), (106), (108)
% 58.39/9.06 | | | are inconsistent by sub-proof #58.
% 58.39/9.06 | | |
% 58.39/9.06 | | End of split
% 58.39/9.06 | |
% 58.39/9.06 | End of split
% 58.39/9.06 |
% 58.39/9.06 End of proof
% 58.39/9.06
% 58.39/9.06 Sub-proof #4 shows that the following formulas are inconsistent:
% 58.39/9.06 ----------------------------------------------------------------
% 58.39/9.06 (1) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.39/9.06 (all_20_7 = e12) | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.39/9.06 (all_20_15 = e11))) | (all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 58.39/9.06 (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.39/9.06 (all_20_8 = e10) | ~ (all_20_15 = e11))) | (all_20_8 = e10 & ~
% 58.39/9.06 (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.39/9.06 (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~ (all_20_12 = e11)))
% 58.39/9.06 (2) all_20_14 = e11
% 58.39/9.06
% 58.39/9.06 Begin of proof
% 58.39/9.06 |
% 58.39/9.06 | BETA: splitting (1) gives:
% 58.39/9.06 |
% 58.39/9.06 | Case 1:
% 58.39/9.06 | |
% 58.39/9.06 | | (3) all_20_6 = e13 & ~ (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.39/9.06 | | (all_20_7 = e12) | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) |
% 58.39/9.06 | | ~ (all_20_15 = e11))
% 58.39/9.06 | |
% 58.39/9.06 | | ALPHA: (3) implies:
% 58.39/9.06 | | (4) ~ (all_20_14 = e11)
% 58.39/9.06 | |
% 58.39/9.06 | | REDUCE: (2), (4) imply:
% 58.39/9.06 | | (5) $false
% 58.39/9.06 | |
% 58.39/9.06 | | CLOSE: (5) is inconsistent.
% 58.39/9.06 | |
% 58.39/9.06 | Case 2:
% 58.39/9.06 | |
% 58.39/9.06 | | (6) (all_20_7 = e12 & ~ (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.39/9.06 | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_8 = e10) |
% 58.39/9.06 | | ~ (all_20_15 = e11))) | (all_20_8 = e10 & ~ (all_20_14 = e11) &
% 58.39/9.06 | | ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~ (all_20_10 = e11))
% 58.39/9.06 | | & ( ~ (all_20_7 = e12) | ~ (all_20_12 = e11)))
% 58.39/9.06 | |
% 58.39/9.06 | | BETA: splitting (6) gives:
% 58.39/9.06 | |
% 58.39/9.06 | | Case 1:
% 58.39/9.06 | | |
% 58.39/9.06 | | | (7) all_20_7 = e12 & ~ (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.39/9.06 | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_8 = e10) |
% 58.39/9.06 | | | ~ (all_20_15 = e11))
% 58.39/9.06 | | |
% 58.39/9.06 | | | ALPHA: (7) implies:
% 58.39/9.06 | | | (8) ~ (all_20_14 = e11)
% 58.39/9.06 | | |
% 58.39/9.06 | | | REDUCE: (2), (8) imply:
% 58.39/9.06 | | | (9) $false
% 58.39/9.06 | | |
% 58.39/9.06 | | | CLOSE: (9) is inconsistent.
% 58.39/9.06 | | |
% 58.39/9.06 | | Case 2:
% 58.39/9.06 | | |
% 58.39/9.06 | | | (10) all_20_8 = e10 & ~ (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~
% 58.39/9.06 | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_7 = e12)
% 58.39/9.06 | | | | ~ (all_20_12 = e11))
% 58.39/9.06 | | |
% 58.39/9.06 | | | ALPHA: (10) implies:
% 58.39/9.06 | | | (11) ~ (all_20_14 = e11)
% 58.39/9.06 | | |
% 58.39/9.06 | | | REDUCE: (2), (11) imply:
% 58.39/9.06 | | | (12) $false
% 58.39/9.06 | | |
% 58.39/9.06 | | | CLOSE: (12) is inconsistent.
% 58.39/9.06 | | |
% 58.39/9.06 | | End of split
% 58.39/9.06 | |
% 58.39/9.06 | End of split
% 58.39/9.06 |
% 58.39/9.06 End of proof
% 58.39/9.06
% 58.39/9.06 Sub-proof #5 shows that the following formulas are inconsistent:
% 58.39/9.06 ----------------------------------------------------------------
% 58.39/9.06 (1) ~ (all_12_4 = e11)
% 58.39/9.06 (2) all_16_1 = all_12_4
% 58.39/9.07 (3) ~ (all_12_4 = e13)
% 58.39/9.07 (4) all_16_1 = e13 | all_16_1 = e11 | all_16_1 = e10
% 58.39/9.07 (5) ~ (all_12_4 = e10)
% 58.39/9.07
% 58.39/9.07 Begin of proof
% 58.39/9.07 |
% 58.39/9.07 | BETA: splitting (4) gives:
% 58.39/9.07 |
% 58.39/9.07 | Case 1:
% 58.39/9.07 | |
% 58.39/9.07 | | (6) all_16_1 = e13
% 58.39/9.07 | |
% 58.39/9.07 | | COMBINE_EQS: (2), (6) imply:
% 58.39/9.07 | | (7) all_12_4 = e13
% 58.39/9.07 | |
% 58.39/9.07 | | REDUCE: (3), (7) imply:
% 58.39/9.07 | | (8) $false
% 58.39/9.07 | |
% 58.39/9.07 | | CLOSE: (8) is inconsistent.
% 58.39/9.07 | |
% 58.39/9.07 | Case 2:
% 58.39/9.07 | |
% 58.39/9.07 | | (9) all_16_1 = e11 | all_16_1 = e10
% 58.39/9.07 | |
% 58.39/9.07 | | BETA: splitting (9) gives:
% 58.39/9.07 | |
% 58.39/9.07 | | Case 1:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (10) all_16_1 = e11
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (2), (10) imply:
% 58.39/9.07 | | | (11) all_12_4 = e11
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (1), (11) imply:
% 58.39/9.07 | | | (12) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (12) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | Case 2:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (13) all_16_1 = e10
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (2), (13) imply:
% 58.39/9.07 | | | (14) all_12_4 = e10
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (5), (14) imply:
% 58.39/9.07 | | | (15) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (15) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | End of split
% 58.39/9.07 | |
% 58.39/9.07 | End of split
% 58.39/9.07 |
% 58.39/9.07 End of proof
% 58.39/9.07
% 58.39/9.07 Sub-proof #6 shows that the following formulas are inconsistent:
% 58.39/9.07 ----------------------------------------------------------------
% 58.39/9.07 (1) ~ (all_12_14 = e12)
% 58.39/9.07 (2) all_24_15 = e10
% 58.39/9.07 (3) ~ (e12 = e11)
% 58.39/9.07 (4) all_24_11 = all_12_14
% 58.39/9.07 (5) ~ (e12 = e10)
% 58.39/9.07 (6) all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12
% 58.39/9.07 (7) all_24_10 = e11
% 58.39/9.07
% 58.39/9.07 Begin of proof
% 58.39/9.07 |
% 58.39/9.07 | BETA: splitting (6) gives:
% 58.39/9.07 |
% 58.39/9.07 | Case 1:
% 58.39/9.07 | |
% 58.39/9.07 | | (8) all_24_10 = e12
% 58.39/9.07 | |
% 58.39/9.07 | | COMBINE_EQS: (7), (8) imply:
% 58.39/9.07 | | (9) e12 = e11
% 58.39/9.07 | |
% 58.39/9.07 | | REDUCE: (3), (9) imply:
% 58.39/9.07 | | (10) $false
% 58.39/9.07 | |
% 58.39/9.07 | | CLOSE: (10) is inconsistent.
% 58.39/9.07 | |
% 58.39/9.07 | Case 2:
% 58.39/9.07 | |
% 58.39/9.07 | | (11) all_24_11 = e12 | all_24_15 = e12
% 58.39/9.07 | |
% 58.39/9.07 | | BETA: splitting (11) gives:
% 58.39/9.07 | |
% 58.39/9.07 | | Case 1:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (12) all_24_11 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (4), (12) imply:
% 58.39/9.07 | | | (13) all_12_14 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | SIMP: (13) implies:
% 58.39/9.07 | | | (14) all_12_14 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (1), (14) imply:
% 58.39/9.07 | | | (15) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (15) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | Case 2:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (16) all_24_15 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (2), (16) imply:
% 58.39/9.07 | | | (17) e12 = e10
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (5), (17) imply:
% 58.39/9.07 | | | (18) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (18) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | End of split
% 58.39/9.07 | |
% 58.39/9.07 | End of split
% 58.39/9.07 |
% 58.39/9.07 End of proof
% 58.39/9.07
% 58.39/9.07 Sub-proof #7 shows that the following formulas are inconsistent:
% 58.39/9.07 ----------------------------------------------------------------
% 58.39/9.07 (1) all_16_11 = e11 | all_16_11 = e10
% 58.39/9.07 (2) all_16_11 = all_12_14
% 58.39/9.07 (3) ~ (all_12_14 = e11)
% 58.39/9.07 (4) ~ (all_12_14 = e10)
% 58.39/9.07
% 58.39/9.07 Begin of proof
% 58.39/9.07 |
% 58.39/9.07 | BETA: splitting (1) gives:
% 58.39/9.07 |
% 58.39/9.07 | Case 1:
% 58.39/9.07 | |
% 58.39/9.07 | | (5) all_16_11 = e11
% 58.39/9.07 | |
% 58.39/9.07 | | COMBINE_EQS: (2), (5) imply:
% 58.39/9.07 | | (6) all_12_14 = e11
% 58.39/9.07 | |
% 58.39/9.07 | | REDUCE: (3), (6) imply:
% 58.39/9.07 | | (7) $false
% 58.39/9.07 | |
% 58.39/9.07 | | CLOSE: (7) is inconsistent.
% 58.39/9.07 | |
% 58.39/9.07 | Case 2:
% 58.39/9.07 | |
% 58.39/9.07 | | (8) all_16_11 = e10
% 58.39/9.07 | |
% 58.39/9.07 | | COMBINE_EQS: (2), (8) imply:
% 58.39/9.07 | | (9) all_12_14 = e10
% 58.39/9.07 | |
% 58.39/9.07 | | REDUCE: (4), (9) imply:
% 58.39/9.07 | | (10) $false
% 58.39/9.07 | |
% 58.39/9.07 | | CLOSE: (10) is inconsistent.
% 58.39/9.07 | |
% 58.39/9.07 | End of split
% 58.39/9.07 |
% 58.39/9.07 End of proof
% 58.39/9.07
% 58.39/9.07 Sub-proof #8 shows that the following formulas are inconsistent:
% 58.39/9.07 ----------------------------------------------------------------
% 58.39/9.07 (1) all_16_14 = all_12_11
% 58.39/9.07 (2) all_16_14 = e12
% 58.39/9.07 (3) ~ (all_12_11 = e12)
% 58.39/9.07
% 58.39/9.07 Begin of proof
% 58.39/9.07 |
% 58.39/9.07 | COMBINE_EQS: (1), (2) imply:
% 58.39/9.07 | (4) all_12_11 = e12
% 58.39/9.07 |
% 58.39/9.07 | SIMP: (4) implies:
% 58.39/9.07 | (5) all_12_11 = e12
% 58.39/9.07 |
% 58.39/9.07 | REDUCE: (3), (5) imply:
% 58.39/9.07 | (6) $false
% 58.39/9.07 |
% 58.39/9.07 | CLOSE: (6) is inconsistent.
% 58.39/9.07 |
% 58.39/9.07 End of proof
% 58.39/9.07
% 58.39/9.07 Sub-proof #9 shows that the following formulas are inconsistent:
% 58.39/9.07 ----------------------------------------------------------------
% 58.39/9.07 (1) all_16_0 = e13 | all_16_0 = e11 | all_16_0 = e10
% 58.39/9.07 (2) all_16_0 = all_12_0
% 58.39/9.07 (3) ~ (all_12_0 = e10)
% 58.39/9.07 (4) ~ (all_12_0 = e11)
% 58.39/9.07 (5) ~ (all_12_0 = e13)
% 58.39/9.07
% 58.39/9.07 Begin of proof
% 58.39/9.07 |
% 58.39/9.07 | BETA: splitting (1) gives:
% 58.39/9.07 |
% 58.39/9.07 | Case 1:
% 58.39/9.07 | |
% 58.39/9.07 | | (6) all_16_0 = e13
% 58.39/9.07 | |
% 58.39/9.07 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #121.
% 58.39/9.07 | |
% 58.39/9.07 | Case 2:
% 58.39/9.07 | |
% 58.39/9.07 | | (7) all_16_0 = e11 | all_16_0 = e10
% 58.39/9.07 | |
% 58.39/9.07 | | BETA: splitting (7) gives:
% 58.39/9.07 | |
% 58.39/9.07 | | Case 1:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (8) all_16_0 = e11
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (2), (8) imply:
% 58.39/9.07 | | | (9) all_12_0 = e11
% 58.39/9.07 | | |
% 58.39/9.07 | | | SIMP: (9) implies:
% 58.39/9.07 | | | (10) all_12_0 = e11
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (4), (10) imply:
% 58.39/9.07 | | | (11) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (11) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | Case 2:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (12) all_16_0 = e10
% 58.39/9.07 | | |
% 58.39/9.07 | | | REF_CLOSE: (2), (3), (12) are inconsistent by sub-proof #111.
% 58.39/9.07 | | |
% 58.39/9.07 | | End of split
% 58.39/9.07 | |
% 58.39/9.07 | End of split
% 58.39/9.07 |
% 58.39/9.07 End of proof
% 58.39/9.07
% 58.39/9.07 Sub-proof #10 shows that the following formulas are inconsistent:
% 58.39/9.07 ----------------------------------------------------------------
% 58.39/9.07 (1) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 58.39/9.07 (2) all_24_13 = all_12_7
% 58.39/9.07 (3) all_24_3 = e13
% 58.39/9.07 (4) all_24_7 = e10
% 58.39/9.07 (5) ~ (all_12_7 = e12)
% 58.39/9.07 (6) ~ (e12 = e10)
% 58.39/9.07 (7) ~ (e13 = e12)
% 58.39/9.07
% 58.39/9.07 Begin of proof
% 58.39/9.07 |
% 58.39/9.07 | BETA: splitting (1) gives:
% 58.39/9.07 |
% 58.39/9.07 | Case 1:
% 58.39/9.07 | |
% 58.39/9.07 | | (8) all_24_3 = e12
% 58.39/9.07 | |
% 58.39/9.07 | | REF_CLOSE: (3), (7), (8) are inconsistent by sub-proof #135.
% 58.39/9.07 | |
% 58.39/9.07 | Case 2:
% 58.39/9.07 | |
% 58.39/9.07 | | (9) all_24_7 = e12 | all_24_13 = e12
% 58.39/9.07 | |
% 58.39/9.07 | | BETA: splitting (9) gives:
% 58.39/9.07 | |
% 58.39/9.07 | | Case 1:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (10) all_24_7 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (4), (10) imply:
% 58.39/9.07 | | | (11) e12 = e10
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (6), (11) imply:
% 58.39/9.07 | | | (12) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (12) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | Case 2:
% 58.39/9.07 | | |
% 58.39/9.07 | | | (13) all_24_13 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | COMBINE_EQS: (2), (13) imply:
% 58.39/9.07 | | | (14) all_12_7 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | SIMP: (14) implies:
% 58.39/9.07 | | | (15) all_12_7 = e12
% 58.39/9.07 | | |
% 58.39/9.07 | | | REDUCE: (5), (15) imply:
% 58.39/9.07 | | | (16) $false
% 58.39/9.07 | | |
% 58.39/9.07 | | | CLOSE: (16) is inconsistent.
% 58.39/9.07 | | |
% 58.39/9.07 | | End of split
% 58.39/9.07 | |
% 58.39/9.07 | End of split
% 58.39/9.07 |
% 58.39/9.07 End of proof
% 58.39/9.07
% 58.39/9.07 Sub-proof #11 shows that the following formulas are inconsistent:
% 58.39/9.07 ----------------------------------------------------------------
% 58.39/9.07 (1) all_22_11 = e21
% 58.39/9.07 (2) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 58.39/9.07 (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 58.39/9.07 (3) all_18_11 = all_14_14
% 58.39/9.07 (4) ~ (all_14_7 = e23)
% 58.39/9.07 (5) ~ (all_14_2 = all_14_6)
% 58.39/9.07 (6) all_26_12 = all_14_3
% 58.39/9.07 (7) ~ (all_14_14 = all_4_1)
% 58.39/9.07 (8) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.39/9.07 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.39/9.07 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 58.39/9.07 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.39/9.07 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 58.39/9.07 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 58.39/9.07 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 58.39/9.07 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.39/9.07 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 58.39/9.07 all_22_13 = e21))
% 58.39/9.07 (9) all_26_7 = all_14_6
% 58.39/9.07 (10) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 58.39/9.07 (11) ~ (all_14_14 = e21)
% 58.39/9.07 (12) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 58.39/9.07 (13) all_18_9 = all_14_6
% 58.39/9.07 (14) all_18_15 = all_10_1
% 58.39/9.07 (15) all_22_13 = all_14_14
% 58.39/9.07 (16) ~ (e21 = e20)
% 58.39/9.07 (17) ~ (all_14_2 = e20)
% 58.39/9.07 (18) ~ (all_14_7 = all_10_1)
% 58.39/9.07 (19) ~ (all_14_6 = all_4_1)
% 58.39/9.07 (20) ~ (e22 = e21)
% 58.39/9.07 (21) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 58.39/9.07 (22) all_22_15 = all_10_1
% 58.39/9.07 (23) ~ (all_14_8 = all_4_1)
% 58.39/9.07 (24) all_22_4 = all_14_6
% 58.39/9.07 (25) ~ (all_14_2 = all_4_1)
% 58.39/9.07 (26) all_26_14 = all_14_11
% 58.39/9.07 (27) ~ (all_14_7 = all_14_11)
% 58.39/9.07 (28) all_22_2 = all_14_3
% 58.39/9.07 (29) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 58.39/9.07 (30) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 58.39/9.07 (31) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 58.39/9.07 (32) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 58.39/9.07 (33) all_26_4 = all_14_8
% 58.39/9.07 (34) ~ (all_14_6 = all_14_14)
% 58.39/9.07 (35) ~ (all_14_4 = all_8_1)
% 58.39/9.07 (36) ~ (all_14_4 = e22)
% 58.39/9.07 (37) ~ (all_14_8 = e22)
% 58.39/9.07 (38) all_22_0 = e20
% 58.39/9.07 (39) all_22_6 = all_14_8
% 58.39/9.07 (40) all_22_3 = all_14_4
% 58.39/9.07 (41) all_18_8 = all_14_2
% 58.39/9.07 (42) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.39/9.07 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.39/9.07 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.39/9.07 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.39/9.07 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.39/9.07 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.39/9.07 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.39/9.07 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.39/9.07 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.39/9.07 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.39/9.07 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.39/9.07 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.39/9.07 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.39/9.07 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 58.39/9.07 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.39/9.07 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.39/9.07 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.39/9.07 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.39/9.07 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.39/9.07 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.39/9.07 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.39/9.07 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.39/9.07 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.39/9.07 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.39/9.07 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.39/9.07 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.39/9.07 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.39/9.07 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.39/9.07 (43) all_22_9 = all_14_12
% 58.39/9.07 (44) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 58.39/9.07 (45) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 58.39/9.08 (46) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 58.39/9.08 (47) all_26_8 = all_4_1
% 58.39/9.08 (48) ~ (all_14_3 = e20)
% 58.39/9.08 (49) all_18_14 = all_14_11
% 58.39/9.08 (50) all_18_1 = all_14_4
% 58.39/9.08 (51) all_22_14 = all_4_1
% 58.39/9.08 (52) ~ (all_10_1 = e21)
% 58.39/9.08 (53) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 58.39/9.08 (54) ~ (all_14_4 = all_14_7)
% 58.39/9.08 (55) all_26_9 = all_14_12
% 58.39/9.08 (56) ~ (all_14_8 = all_14_11)
% 58.39/9.08 (57) all_22_8 = all_14_11
% 58.39/9.08 (58) ~ (all_14_11 = all_4_1)
% 58.39/9.08 (59) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.39/9.08 (60) ~ (all_14_3 = all_10_1)
% 58.39/9.08 (61) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 58.39/9.08 (62) ~ (e23 = e22)
% 58.39/9.08 (63) all_18_12 = all_14_3
% 58.39/9.08 (64) ~ (all_14_6 = e23)
% 58.39/9.08 (65) all_26_6 = e22 | all_26_12 = e22
% 58.39/9.08 (66) ~ (all_14_3 = all_14_11)
% 58.39/9.08 (67) ~ (all_14_6 = all_14_7)
% 58.39/9.08 (68) ~ (all_14_4 = all_14_6)
% 58.39/9.08 (69) all_26_11 = all_14_14
% 58.39/9.08 (70) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 58.39/9.08 (71) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 58.39/9.08 (72) ~ (all_14_3 = all_14_7)
% 58.39/9.08 (73) all_26_3 = e23
% 58.39/9.08 (74) all_22_5 = all_14_7
% 58.39/9.08 (75) all_26_5 = e22
% 58.39/9.08 (76) all_26_2 = e20
% 58.39/9.08 (77) all_26_1 = all_14_4
% 58.39/9.08 (78) all_18_10 = all_4_1
% 58.39/9.08 (79) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 58.39/9.08 (80) ~ (all_14_2 = all_14_14)
% 58.39/9.08 (81) all_22_1 = all_14_2
% 58.39/9.08 (82) ~ (all_14_14 = all_10_1)
% 58.39/9.08 (83) ~ (all_14_11 = all_10_1)
% 58.39/9.08 (84) all_26_6 = all_14_2
% 58.39/9.08 (85) all_26_0 = all_8_1
% 58.39/9.08 (86) ~ (all_14_4 = e23)
% 58.39/9.08 (87) all_26_15 = all_10_1
% 58.39/9.08 (88) all_26_13 = all_14_7
% 58.39/9.08 (89) ~ (all_14_2 = all_14_3)
% 58.39/9.08 (90) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 58.39/9.08 (91) ~ (all_14_3 = e22)
% 58.39/9.08 (92) all_22_12 = e23
% 58.39/9.08
% 58.39/9.08 Begin of proof
% 58.39/9.08 |
% 58.39/9.08 | BETA: splitting (65) gives:
% 58.39/9.08 |
% 58.39/9.08 | Case 1:
% 58.39/9.08 | |
% 58.39/9.08 | | (93) all_26_6 = e22
% 58.39/9.08 | |
% 58.39/9.08 | | COMBINE_EQS: (84), (93) imply:
% 58.39/9.08 | | (94) all_14_2 = e22
% 58.39/9.08 | |
% 58.39/9.08 | | SIMP: (94) implies:
% 58.39/9.08 | | (95) all_14_2 = e22
% 58.39/9.08 | |
% 58.39/9.08 | | REDUCE: (5), (95) imply:
% 58.39/9.08 | | (96) ~ (all_14_6 = e22)
% 58.39/9.08 | |
% 58.39/9.08 | | SIMP: (96) implies:
% 58.39/9.08 | | (97) ~ (all_14_6 = e22)
% 58.39/9.08 | |
% 58.39/9.08 | | REDUCE: (80), (95) imply:
% 58.39/9.08 | | (98) ~ (all_14_14 = e22)
% 58.39/9.08 | |
% 58.39/9.08 | | SIMP: (98) implies:
% 58.39/9.08 | | (99) ~ (all_14_14 = e22)
% 58.39/9.08 | |
% 58.39/9.08 | | REDUCE: (25), (95) imply:
% 58.39/9.08 | | (100) ~ (all_4_1 = e22)
% 58.39/9.08 | |
% 58.39/9.08 | | SIMP: (100) implies:
% 58.39/9.08 | | (101) ~ (all_4_1 = e22)
% 58.39/9.08 | |
% 58.39/9.08 | | BETA: splitting (12) gives:
% 58.39/9.08 | |
% 58.39/9.08 | | Case 1:
% 58.39/9.08 | | |
% 58.39/9.08 | | | (102) all_26_1 = e22
% 58.39/9.08 | | |
% 58.39/9.08 | | | COMBINE_EQS: (77), (102) imply:
% 58.39/9.08 | | | (103) all_14_4 = e22
% 58.39/9.08 | | |
% 58.39/9.08 | | | REDUCE: (36), (103) imply:
% 58.39/9.08 | | | (104) $false
% 58.39/9.08 | | |
% 58.39/9.08 | | | CLOSE: (104) is inconsistent.
% 58.39/9.08 | | |
% 58.39/9.08 | | Case 2:
% 58.39/9.08 | | |
% 58.39/9.08 | | | (105) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 58.39/9.08 | | |
% 58.39/9.08 | | | BETA: splitting (105) gives:
% 58.39/9.08 | | |
% 58.39/9.08 | | | Case 1:
% 58.39/9.08 | | | |
% 58.39/9.08 | | | | (106) all_26_3 = e22
% 58.39/9.08 | | | |
% 58.39/9.08 | | | | REF_CLOSE: (62), (73), (106) are inconsistent by sub-proof #134.
% 58.39/9.08 | | | |
% 58.39/9.08 | | | Case 2:
% 58.39/9.08 | | | |
% 58.39/9.08 | | | | (107) all_26_7 = e22 | all_26_13 = e22
% 58.39/9.08 | | | |
% 58.39/9.08 | | | | BETA: splitting (107) gives:
% 58.39/9.08 | | | |
% 58.39/9.08 | | | | Case 1:
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | (108) all_26_7 = e22
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | COMBINE_EQS: (9), (108) imply:
% 58.39/9.08 | | | | | (109) all_14_6 = e22
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | SIMP: (109) implies:
% 58.39/9.08 | | | | | (110) all_14_6 = e22
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | REDUCE: (97), (110) imply:
% 58.39/9.08 | | | | | (111) $false
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | CLOSE: (111) is inconsistent.
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | Case 2:
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | (112) all_26_13 = e22
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | COMBINE_EQS: (88), (112) imply:
% 58.39/9.08 | | | | | (113) all_14_7 = e22
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | SIMP: (113) implies:
% 58.39/9.08 | | | | | (114) all_14_7 = e22
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | REDUCE: (27), (114) imply:
% 58.39/9.08 | | | | | (115) ~ (all_14_11 = e22)
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | SIMP: (115) implies:
% 58.39/9.08 | | | | | (116) ~ (all_14_11 = e22)
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | REDUCE: (18), (114) imply:
% 58.39/9.08 | | | | | (117) ~ (all_10_1 = e22)
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | SIMP: (117) implies:
% 58.39/9.08 | | | | | (118) ~ (all_10_1 = e22)
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | REDUCE: (4), (114) imply:
% 58.39/9.08 | | | | | (119) ~ (e23 = e22)
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | BETA: splitting (61) gives:
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | | Case 1:
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | | (120) all_26_1 = e22
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | | REF_CLOSE: (36), (77), (120) are inconsistent by sub-proof #89.
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | Case 2:
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | | (121) ~ (all_26_1 = e22)
% 58.39/9.08 | | | | | | (122) all_26_4 = e22 | all_26_9 = e22
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | | BETA: splitting (122) gives:
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | | Case 1:
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | (123) all_26_4 = e22
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | REF_CLOSE: (33), (37), (123) are inconsistent by sub-proof #44.
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | Case 2:
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | (124) all_26_9 = e22
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | COMBINE_EQS: (55), (124) imply:
% 58.39/9.08 | | | | | | | (125) all_14_12 = e22
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | SIMP: (125) implies:
% 58.39/9.08 | | | | | | | (126) all_14_12 = e22
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | COMBINE_EQS: (43), (126) imply:
% 58.39/9.08 | | | | | | | (127) all_22_9 = e22
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 58.39/9.08 | | | | | | | (11), (12), (13), (14), (15), (16), (17), (18), (19),
% 58.39/9.08 | | | | | | | (20), (21), (22), (23), (24), (25), (26), (27), (28),
% 58.39/9.08 | | | | | | | (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 58.39/9.08 | | | | | | | (38), (39), (40), (41), (42), (44), (45), (46), (47),
% 58.39/9.08 | | | | | | | (48), (49), (50), (51), (52), (53), (54), (56), (57),
% 58.39/9.08 | | | | | | | (58), (59), (60), (62), (63), (64), (66), (67), (68),
% 58.39/9.08 | | | | | | | (69), (70), (71), (72), (73), (74), (75), (76), (77),
% 58.39/9.08 | | | | | | | (78), (79), (80), (81), (82), (83), (84), (85), (86),
% 58.39/9.08 | | | | | | | (87), (88), (89), (90), (92), (99), (101), (116),
% 58.39/9.08 | | | | | | | (118), (127) are inconsistent by sub-proof #57.
% 58.39/9.08 | | | | | | |
% 58.39/9.08 | | | | | | End of split
% 58.39/9.08 | | | | | |
% 58.39/9.08 | | | | | End of split
% 58.39/9.08 | | | | |
% 58.39/9.08 | | | | End of split
% 58.39/9.08 | | | |
% 58.39/9.08 | | | End of split
% 58.39/9.08 | | |
% 58.39/9.08 | | End of split
% 58.39/9.08 | |
% 58.39/9.08 | Case 2:
% 58.39/9.08 | |
% 58.39/9.08 | | (128) all_26_12 = e22
% 58.39/9.08 | |
% 58.39/9.08 | | REF_CLOSE: (6), (91), (128) are inconsistent by sub-proof #87.
% 58.39/9.08 | |
% 58.39/9.08 | End of split
% 58.39/9.08 |
% 58.39/9.08 End of proof
% 58.39/9.08
% 58.39/9.08 Sub-proof #12 shows that the following formulas are inconsistent:
% 58.39/9.08 ----------------------------------------------------------------
% 58.39/9.08 (1) all_28_25 = e22
% 58.39/9.08 (2) all_28_34 = e21
% 58.39/9.08 (3) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 58.39/9.08 (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 58.39/9.08 (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 58.39/9.08 (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 58.39/9.08 (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 58.39/9.08 (all_28_34 = e20))
% 58.39/9.08 (4) all_28_31 = e20
% 58.39/9.08 (5) all_28_28 = e23
% 58.39/9.08
% 58.39/9.08 Begin of proof
% 58.39/9.08 |
% 58.39/9.08 | BETA: splitting (3) gives:
% 58.39/9.08 |
% 58.39/9.08 | Case 1:
% 58.39/9.08 | |
% 58.39/9.08 | | (6) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 58.39/9.08 | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 58.39/9.08 | | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22))
% 58.39/9.08 | |
% 58.39/9.08 | | BETA: splitting (6) gives:
% 58.39/9.08 | |
% 58.39/9.08 | | Case 1:
% 58.39/9.08 | | |
% 58.39/9.08 | | | (7) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23)
% 58.39/9.08 | | | & ~ (all_28_34 = e23)
% 58.39/9.08 | | |
% 58.39/9.08 | | | ALPHA: (7) implies:
% 58.39/9.08 | | | (8) ~ (all_28_28 = e23)
% 58.39/9.08 | | |
% 58.39/9.08 | | | REDUCE: (5), (8) imply:
% 58.39/9.08 | | | (9) $false
% 58.39/9.08 | | |
% 58.39/9.08 | | | CLOSE: (9) is inconsistent.
% 58.39/9.08 | | |
% 58.39/9.08 | | Case 2:
% 58.39/9.08 | | |
% 58.39/9.08 | | | (10) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ (all_28_31 = e22)
% 58.39/9.08 | | | & ~ (all_28_34 = e22)
% 58.39/9.08 | | |
% 58.39/9.08 | | | ALPHA: (10) implies:
% 58.39/9.08 | | | (11) ~ (all_28_25 = e22)
% 58.39/9.08 | | |
% 58.39/9.08 | | | REDUCE: (1), (11) imply:
% 58.39/9.08 | | | (12) $false
% 58.39/9.08 | | |
% 58.39/9.08 | | | CLOSE: (12) is inconsistent.
% 58.39/9.08 | | |
% 58.39/9.08 | | End of split
% 58.39/9.08 | |
% 58.39/9.08 | Case 2:
% 58.39/9.08 | |
% 58.39/9.08 | | (13) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21)
% 58.39/9.08 | | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 58.39/9.08 | | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))
% 58.39/9.08 | |
% 58.39/9.08 | | BETA: splitting (13) gives:
% 58.39/9.08 | |
% 58.39/9.08 | | Case 1:
% 58.39/9.08 | | |
% 58.39/9.08 | | | (14) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21)
% 58.39/9.08 | | | & ~ (all_28_34 = e21)
% 58.39/9.08 | | |
% 58.39/9.08 | | | ALPHA: (14) implies:
% 58.39/9.08 | | | (15) ~ (all_28_34 = e21)
% 58.39/9.08 | | |
% 58.39/9.08 | | | REDUCE: (2), (15) imply:
% 58.39/9.08 | | | (16) $false
% 58.39/9.08 | | |
% 58.39/9.08 | | | CLOSE: (16) is inconsistent.
% 58.39/9.08 | | |
% 58.39/9.08 | | Case 2:
% 58.39/9.08 | | |
% 58.39/9.08 | | | (17) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ (all_28_31 = e20)
% 58.39/9.08 | | | & ~ (all_28_34 = e20)
% 58.39/9.08 | | |
% 58.39/9.08 | | | ALPHA: (17) implies:
% 58.39/9.08 | | | (18) ~ (all_28_31 = e20)
% 58.39/9.08 | | |
% 58.39/9.08 | | | REDUCE: (4), (18) imply:
% 58.39/9.08 | | | (19) $false
% 58.39/9.08 | | |
% 58.39/9.08 | | | CLOSE: (19) is inconsistent.
% 58.39/9.08 | | |
% 58.39/9.08 | | End of split
% 58.39/9.08 | |
% 58.39/9.08 | End of split
% 58.39/9.08 |
% 58.39/9.08 End of proof
% 58.39/9.08
% 58.39/9.08 Sub-proof #13 shows that the following formulas are inconsistent:
% 58.39/9.08 ----------------------------------------------------------------
% 58.39/9.08 (1) all_16_14 = all_12_11
% 58.39/9.08 (2) all_16_14 = e13
% 58.39/9.08 (3) ~ (all_12_11 = e13)
% 58.39/9.08
% 58.39/9.08 Begin of proof
% 58.39/9.08 |
% 58.39/9.08 | COMBINE_EQS: (1), (2) imply:
% 58.39/9.08 | (4) all_12_11 = e13
% 58.39/9.08 |
% 58.39/9.08 | SIMP: (4) implies:
% 58.39/9.08 | (5) all_12_11 = e13
% 58.39/9.08 |
% 58.39/9.08 | REDUCE: (3), (5) imply:
% 58.39/9.08 | (6) $false
% 58.39/9.08 |
% 58.39/9.08 | CLOSE: (6) is inconsistent.
% 58.39/9.08 |
% 58.39/9.08 End of proof
% 58.39/9.08
% 58.39/9.08 Sub-proof #14 shows that the following formulas are inconsistent:
% 58.39/9.08 ----------------------------------------------------------------
% 58.39/9.08 (1) all_26_14 = all_14_11
% 58.39/9.08 (2) ~ (all_14_11 = e22)
% 58.39/9.08 (3) ~ (all_10_1 = e22)
% 58.39/9.08 (4) all_26_14 = e22 | all_26_15 = e22
% 58.39/9.08 (5) all_26_15 = all_10_1
% 58.39/9.08
% 58.39/9.08 Begin of proof
% 58.39/9.08 |
% 58.39/9.08 | BETA: splitting (4) gives:
% 58.39/9.08 |
% 58.39/9.08 | Case 1:
% 58.39/9.08 | |
% 58.39/9.08 | | (6) all_26_14 = e22
% 58.39/9.08 | |
% 58.39/9.08 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #60.
% 58.39/9.08 | |
% 58.39/9.08 | Case 2:
% 58.39/9.08 | |
% 58.39/9.08 | | (7) all_26_15 = e22
% 58.39/9.08 | |
% 58.39/9.08 | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #59.
% 58.39/9.08 | |
% 58.39/9.08 | End of split
% 58.39/9.08 |
% 58.39/9.08 End of proof
% 58.39/9.08
% 58.39/9.08 Sub-proof #15 shows that the following formulas are inconsistent:
% 58.39/9.08 ----------------------------------------------------------------
% 58.39/9.08 (1) all_22_11 = e21
% 58.39/9.08 (2) ~ (all_14_12 = all_8_2)
% 58.39/9.08 (3) all_26_12 = all_14_3
% 58.39/9.08 (4) ~ (all_14_6 = all_8_2)
% 58.39/9.08 (5) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.39/9.08 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.39/9.08 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 58.39/9.08 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.39/9.08 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 58.39/9.08 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 58.39/9.08 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 58.39/9.08 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.39/9.08 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 58.39/9.08 all_22_13 = e21))
% 58.39/9.08 (6) all_26_7 = all_14_6
% 58.39/9.08 (7) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 58.39/9.08 (8) ~ (all_8_2 = e23)
% 58.39/9.08 (9) all_26_10 = e21
% 58.39/9.08 (10) ~ (e21 = e20)
% 58.39/9.08 (11) ~ (all_14_2 = e20)
% 58.39/9.08 (12) ~ (all_14_6 = all_4_1)
% 58.39/9.08 (13) ~ (all_4_1 = e22)
% 58.39/9.08 (14) all_22_15 = all_10_1
% 58.39/9.08 (15) ~ (e23 = e21)
% 58.39/9.08 (16) ~ (all_10_1 = e20)
% 58.39/9.09 (17) all_22_4 = all_14_6
% 58.39/9.09 (18) ~ (all_14_2 = all_4_1)
% 58.39/9.09 (19) all_22_3 = all_8_2
% 58.39/9.09 (20) all_22_2 = all_14_3
% 58.39/9.09 (21) ~ (all_14_12 = e22)
% 58.39/9.09 (22) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 58.39/9.09 (23) ~ (e22 = e20)
% 58.39/9.09 (24) all_22_0 = e20
% 58.39/9.09 (25) all_18_8 = all_14_2
% 58.57/9.09 (26) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.57/9.09 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.57/9.09 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.57/9.09 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.57/9.09 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.57/9.09 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.57/9.09 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.57/9.09 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.57/9.09 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.57/9.09 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.57/9.09 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.57/9.09 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.57/9.09 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.57/9.09 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 58.57/9.09 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.57/9.09 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.09 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.57/9.09 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.09 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.57/9.09 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.09 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.57/9.09 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.09 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.57/9.09 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.57/9.09 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.09 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.57/9.09 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.09 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.57/9.09 (27) all_22_9 = all_14_12
% 58.57/9.09 (28) ~ (all_14_3 = e20)
% 58.57/9.09 (29) ~ (all_8_2 = e22)
% 58.57/9.09 (30) all_22_14 = all_4_1
% 58.57/9.09 (31) all_26_9 = all_14_12
% 58.57/9.09 (32) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.57/9.09 (33) all_26_13 = e22
% 58.57/9.09 (34) ~ (e23 = e20)
% 58.57/9.09 (35) ~ (e23 = e22)
% 58.57/9.09 (36) all_26_1 = all_8_2
% 58.57/9.09 (37) all_22_13 = e22
% 58.57/9.09 (38) all_26_3 = e23
% 58.57/9.09 (39) all_26_2 = e20
% 58.57/9.09 (40) all_26_0 = e22
% 58.57/9.09 (41) all_22_1 = all_14_2
% 58.57/9.09 (42) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 58.57/9.09 (43) all_26_6 = all_14_2
% 58.57/9.09 (44) ~ (all_14_2 = all_14_3)
% 58.57/9.09 (45) all_22_5 = e22
% 58.57/9.09 (46) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 58.57/9.09 (47) all_26_11 = e22
% 58.57/9.09 (48) ~ (all_14_3 = e22)
% 58.57/9.09 (49) all_22_12 = e23
% 58.57/9.09
% 58.57/9.09 Begin of proof
% 58.57/9.09 |
% 58.57/9.09 | BETA: splitting (5) gives:
% 58.57/9.09 |
% 58.57/9.09 | Case 1:
% 58.57/9.09 | |
% 58.57/9.09 | | (50) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.57/9.09 | | (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.57/9.09 | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 58.57/9.09 | | all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.57/9.09 | | (all_22_15 = e22) | all_22_5 = e20))
% 58.57/9.09 | |
% 58.57/9.09 | | REF_CLOSE: (23), (24), (35), (49), (50) are inconsistent by sub-proof #42.
% 58.57/9.09 | |
% 58.57/9.09 | Case 2:
% 58.57/9.09 | |
% 58.57/9.09 | | (51) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~
% 58.57/9.09 | | (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 58.57/9.09 | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ (all_22_10 = e20) |
% 58.57/9.09 | | all_22_9 = e23) & ( ~ (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 58.57/9.09 | | (all_22_14 = e20) | all_22_13 = e21))
% 58.57/9.09 | |
% 58.57/9.09 | | BETA: splitting (51) gives:
% 58.57/9.09 | |
% 58.57/9.09 | | Case 1:
% 58.57/9.09 | | |
% 58.57/9.09 | | | (52) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~
% 58.57/9.09 | | | (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 58.57/9.09 | | | all_22_8 = e20)
% 58.57/9.09 | | |
% 58.57/9.09 | | | ALPHA: (52) implies:
% 58.57/9.09 | | | (53) all_22_14 = e21
% 58.57/9.09 | | |
% 58.57/9.09 | | | COMBINE_EQS: (30), (53) imply:
% 58.57/9.09 | | | (54) all_4_1 = e21
% 58.57/9.09 | | |
% 58.57/9.09 | | | SIMP: (54) implies:
% 58.57/9.09 | | | (55) all_4_1 = e21
% 58.57/9.09 | | |
% 58.57/9.09 | | | REDUCE: (18), (55) imply:
% 58.57/9.09 | | | (56) ~ (all_14_2 = e21)
% 58.57/9.09 | | |
% 58.57/9.09 | | | REDUCE: (12), (55) imply:
% 58.57/9.09 | | | (57) ~ (all_14_6 = e21)
% 58.57/9.09 | | |
% 58.57/9.09 | | | REDUCE: (13), (55) imply:
% 58.57/9.09 | | | (58) ~ (e22 = e21)
% 58.57/9.09 | | |
% 58.57/9.09 | | | SIMP: (58) implies:
% 58.57/9.09 | | | (59) ~ (e22 = e21)
% 58.57/9.09 | | |
% 58.57/9.09 | | | BETA: splitting (32) gives:
% 58.57/9.09 | | |
% 58.57/9.09 | | | Case 1:
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | (60) all_26_1 = e21
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | COMBINE_EQS: (36), (60) imply:
% 58.57/9.09 | | | | (61) all_8_2 = e21
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | SIMP: (61) implies:
% 58.57/9.09 | | | | (62) all_8_2 = e21
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | COMBINE_EQS: (19), (62) imply:
% 58.57/9.09 | | | | (63) all_22_3 = e21
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | REDUCE: (2), (62) imply:
% 58.57/9.09 | | | | (64) ~ (all_14_12 = e21)
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | REDUCE: (8), (62) imply:
% 58.57/9.09 | | | | (65) ~ (e23 = e21)
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | BETA: splitting (22) gives:
% 58.57/9.09 | | | |
% 58.57/9.09 | | | | Case 1:
% 58.57/9.09 | | | | |
% 58.57/9.09 | | | | | (66) all_26_0 = e21
% 58.57/9.09 | | | | |
% 58.57/9.09 | | | | | REF_CLOSE: (40), (59), (66) are inconsistent by sub-proof #17.
% 58.57/9.09 | | | | |
% 58.57/9.09 | | | | Case 2:
% 58.57/9.09 | | | | |
% 58.57/9.09 | | | | | (67) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 58.57/9.09 | | | | |
% 58.57/9.09 | | | | | BETA: splitting (67) gives:
% 58.57/9.09 | | | | |
% 58.57/9.09 | | | | | Case 1:
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | (68) all_26_2 = e21
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | COMBINE_EQS: (39), (68) imply:
% 58.57/9.09 | | | | | | (69) e21 = e20
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | REDUCE: (10), (69) imply:
% 58.57/9.09 | | | | | | (70) $false
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | CLOSE: (70) is inconsistent.
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | Case 2:
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | (71) all_26_6 = e21 | all_26_12 = e21
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | BETA: splitting (71) gives:
% 58.57/9.09 | | | | | |
% 58.57/9.09 | | | | | | Case 1:
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | (72) all_26_6 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | COMBINE_EQS: (43), (72) imply:
% 58.57/9.09 | | | | | | | (73) all_14_2 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | SIMP: (73) implies:
% 58.57/9.09 | | | | | | | (74) all_14_2 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | REDUCE: (56), (74) imply:
% 58.57/9.09 | | | | | | | (75) $false
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | CLOSE: (75) is inconsistent.
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | Case 2:
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | (76) all_26_12 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | COMBINE_EQS: (3), (76) imply:
% 58.57/9.09 | | | | | | | (77) all_14_3 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | SIMP: (77) implies:
% 58.57/9.09 | | | | | | | (78) all_14_3 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | COMBINE_EQS: (20), (78) imply:
% 58.57/9.09 | | | | | | | (79) all_22_2 = e21
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | BETA: splitting (46) gives:
% 58.57/9.09 | | | | | | |
% 58.57/9.09 | | | | | | | Case 1:
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | (80) all_26_9 = e20
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | COMBINE_EQS: (31), (80) imply:
% 58.57/9.09 | | | | | | | | (81) all_14_12 = e20
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | SIMP: (81) implies:
% 58.57/9.09 | | | | | | | | (82) all_14_12 = e20
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | COMBINE_EQS: (27), (82) imply:
% 58.57/9.09 | | | | | | | | (83) all_22_9 = e20
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | REDUCE: (21), (82) imply:
% 58.57/9.09 | | | | | | | | (84) ~ (e22 = e20)
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | REDUCE: (64), (82) imply:
% 58.57/9.09 | | | | | | | | (85) ~ (e21 = e20)
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | BETA: splitting (7) gives:
% 58.57/9.09 | | | | | | | |
% 58.57/9.09 | | | | | | | | Case 1:
% 58.57/9.09 | | | | | | | | |
% 58.57/9.09 | | | | | | | | | (86) all_18_8 = e23
% 58.57/9.09 | | | | | | | | |
% 58.57/9.09 | | | | | | | | | COMBINE_EQS: (25), (86) imply:
% 58.57/9.09 | | | | | | | | | (87) all_14_2 = e23
% 58.57/9.09 | | | | | | | | |
% 58.57/9.09 | | | | | | | | | COMBINE_EQS: (41), (87) imply:
% 58.57/9.09 | | | | | | | | | (88) all_22_1 = e23
% 58.57/9.09 | | | | | | | | |
% 58.57/9.09 | | | | | | | | | BETA: splitting (26) gives:
% 58.57/9.09 | | | | | | | | |
% 58.57/9.09 | | | | | | | | | Case 1:
% 58.57/9.09 | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | (89) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.57/9.09 | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.57/9.09 | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.57/9.09 | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.57/9.09 | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 58.57/9.09 | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.57/9.09 | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.57/9.09 | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.57/9.09 | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.57/9.09 | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | REF_CLOSE: (10), (15), (17), (23), (24), (45), (57), (63),
% 58.57/9.09 | | | | | | | | | | (79), (88), (89) are inconsistent by sub-proof
% 58.57/9.09 | | | | | | | | | | #35.
% 58.57/9.09 | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | Case 2:
% 58.57/9.09 | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | (90) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.57/9.09 | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.57/9.09 | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.57/9.09 | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.57/9.09 | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 58.57/9.09 | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.57/9.09 | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.57/9.09 | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.57/9.09 | | | | | | | | | | (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.57/9.09 | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.09 | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.57/9.09 | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | BETA: splitting (90) gives:
% 58.57/9.09 | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | Case 1:
% 58.57/9.09 | | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | | (91) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.57/9.09 | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.09 | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.09 | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.57/9.09 | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.57/9.09 | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.09 | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.57/9.09 | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.57/9.09 | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.09 | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.09 | | | | | | | | | | | (all_22_12 = e21)))
% 58.57/9.09 | | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | | REF_CLOSE: (53), (91) are inconsistent by sub-proof #99.
% 58.57/9.09 | | | | | | | | | | |
% 58.57/9.09 | | | | | | | | | | Case 2:
% 58.57/9.09 | | | | | | | | | | |
% 58.57/9.10 | | | | | | | | | | | (92) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.57/9.10 | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.57/9.10 | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.57/9.10 | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 58.57/9.10 | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.10 | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.10 | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.57/9.10 | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.57/9.10 | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.10 | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 58.57/9.10 | | | | | | | | | | | ~ (all_22_12 = e20)))
% 58.57/9.10 | | | | | | | | | | |
% 58.57/9.10 | | | | | | | | | | | REF_CLOSE: (1), (34), (37), (59), (83), (92) are inconsistent
% 58.57/9.10 | | | | | | | | | | | by sub-proof #32.
% 58.57/9.10 | | | | | | | | | | |
% 58.57/9.10 | | | | | | | | | | End of split
% 58.57/9.10 | | | | | | | | | |
% 58.57/9.10 | | | | | | | | | End of split
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | Case 2:
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | (93) ~ (all_18_8 = e23)
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | REDUCE: (25), (93) imply:
% 58.57/9.10 | | | | | | | | | (94) ~ (all_14_2 = e23)
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | REF_CLOSE: (15), (34), (35), (39), (40), (42), (43), (76),
% 58.57/9.10 | | | | | | | | | (94) are inconsistent by sub-proof #16.
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | End of split
% 58.57/9.10 | | | | | | | |
% 58.57/9.10 | | | | | | | Case 2:
% 58.57/9.10 | | | | | | | |
% 58.57/9.10 | | | | | | | | (95) all_26_10 = e20 | all_26_11 = e20
% 58.57/9.10 | | | | | | | |
% 58.57/9.10 | | | | | | | | BETA: splitting (95) gives:
% 58.57/9.10 | | | | | | | |
% 58.57/9.10 | | | | | | | | Case 1:
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | (96) all_26_10 = e20
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | COMBINE_EQS: (9), (96) imply:
% 58.57/9.10 | | | | | | | | | (97) e21 = e20
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | SIMP: (97) implies:
% 58.57/9.10 | | | | | | | | | (98) e21 = e20
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | REDUCE: (10), (98) imply:
% 58.57/9.10 | | | | | | | | | (99) $false
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | CLOSE: (99) is inconsistent.
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | Case 2:
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | (100) all_26_11 = e20
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | | REF_CLOSE: (23), (47), (100) are inconsistent by sub-proof
% 58.57/9.10 | | | | | | | | | #19.
% 58.57/9.10 | | | | | | | | |
% 58.57/9.10 | | | | | | | | End of split
% 58.57/9.10 | | | | | | | |
% 58.57/9.10 | | | | | | | End of split
% 58.57/9.10 | | | | | | |
% 58.57/9.10 | | | | | | End of split
% 58.57/9.10 | | | | | |
% 58.57/9.10 | | | | | End of split
% 58.57/9.10 | | | | |
% 58.57/9.10 | | | | End of split
% 58.57/9.10 | | | |
% 58.57/9.10 | | | Case 2:
% 58.57/9.10 | | | |
% 58.57/9.10 | | | | (101) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.57/9.10 | | | |
% 58.57/9.10 | | | | REF_CLOSE: (6), (15), (33), (38), (57), (59), (101) are inconsistent by
% 58.57/9.10 | | | | sub-proof #30.
% 58.57/9.10 | | | |
% 58.57/9.10 | | | End of split
% 58.57/9.10 | | |
% 58.57/9.10 | | Case 2:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (102) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.57/9.10 | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 58.57/9.10 | | | all_22_13 = e21)
% 58.57/9.10 | | |
% 58.57/9.10 | | | ALPHA: (102) implies:
% 58.57/9.10 | | | (103) all_22_15 = e20
% 58.57/9.10 | | |
% 58.57/9.10 | | | COMBINE_EQS: (14), (103) imply:
% 58.57/9.10 | | | (104) all_10_1 = e20
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (16), (104) imply:
% 58.57/9.10 | | | (105) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (105) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | End of split
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #16 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) ~ (e23 = e21)
% 58.57/9.10 (2) all_26_12 = e21
% 58.57/9.10 (3) ~ (e23 = e20)
% 58.57/9.10 (4) ~ (e23 = e22)
% 58.57/9.10 (5) all_26_2 = e20
% 58.57/9.10 (6) all_26_0 = e22
% 58.57/9.10 (7) ~ (all_14_2 = e23)
% 58.57/9.10 (8) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 58.57/9.10 (9) all_26_6 = all_14_2
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | BETA: splitting (8) gives:
% 58.57/9.10 |
% 58.57/9.10 | Case 1:
% 58.57/9.10 | |
% 58.57/9.10 | | (10) all_26_0 = e23
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (6), (10) imply:
% 58.57/9.10 | | (11) e23 = e22
% 58.57/9.10 | |
% 58.57/9.10 | | REDUCE: (4), (11) imply:
% 58.57/9.10 | | (12) $false
% 58.57/9.10 | |
% 58.57/9.10 | | CLOSE: (12) is inconsistent.
% 58.57/9.10 | |
% 58.57/9.10 | Case 2:
% 58.57/9.10 | |
% 58.57/9.10 | | (13) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 58.57/9.10 | |
% 58.57/9.10 | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (13) are inconsistent by sub-proof
% 58.57/9.10 | | #24.
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #17 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) all_26_0 = e22
% 58.57/9.10 (2) all_26_0 = e21
% 58.57/9.10 (3) ~ (e22 = e21)
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | COMBINE_EQS: (1), (2) imply:
% 58.57/9.10 | (4) e22 = e21
% 58.57/9.10 |
% 58.57/9.10 | SIMP: (4) implies:
% 58.57/9.10 | (5) e22 = e21
% 58.57/9.10 |
% 58.57/9.10 | REDUCE: (3), (5) imply:
% 58.57/9.10 | (6) $false
% 58.57/9.10 |
% 58.57/9.10 | CLOSE: (6) is inconsistent.
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #18 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) all_26_8 = e20 | all_26_11 = e20
% 58.57/9.10 (2) ~ (e22 = e20)
% 58.57/9.10 (3) all_26_8 = all_4_1
% 58.57/9.10 (4) ~ (all_4_1 = e20)
% 58.57/9.10 (5) all_26_11 = e22
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | BETA: splitting (1) gives:
% 58.57/9.10 |
% 58.57/9.10 | Case 1:
% 58.57/9.10 | |
% 58.57/9.10 | | (6) all_26_8 = e20
% 58.57/9.10 | |
% 58.57/9.10 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #67.
% 58.57/9.10 | |
% 58.57/9.10 | Case 2:
% 58.57/9.10 | |
% 58.57/9.10 | | (7) all_26_11 = e20
% 58.57/9.10 | |
% 58.57/9.10 | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #19.
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #19 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) all_26_11 = e22
% 58.57/9.10 (2) all_26_11 = e20
% 58.57/9.10 (3) ~ (e22 = e20)
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | COMBINE_EQS: (1), (2) imply:
% 58.57/9.10 | (4) e22 = e20
% 58.57/9.10 |
% 58.57/9.10 | SIMP: (4) implies:
% 58.57/9.10 | (5) e22 = e20
% 58.57/9.10 |
% 58.57/9.10 | REDUCE: (3), (5) imply:
% 58.57/9.10 | (6) $false
% 58.57/9.10 |
% 58.57/9.10 | CLOSE: (6) is inconsistent.
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #20 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) ~ (all_8_2 = e23)
% 58.57/9.10 (2) ~ (all_8_2 = e20)
% 58.57/9.10 (3) all_18_1 = e23 | all_18_1 = e21 | all_18_1 = e20
% 58.57/9.10 (4) all_18_1 = all_8_2
% 58.57/9.10 (5) ~ (all_8_2 = e21)
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | BETA: splitting (3) gives:
% 58.57/9.10 |
% 58.57/9.10 | Case 1:
% 58.57/9.10 | |
% 58.57/9.10 | | (6) all_18_1 = e23
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (4), (6) imply:
% 58.57/9.10 | | (7) all_8_2 = e23
% 58.57/9.10 | |
% 58.57/9.10 | | SIMP: (7) implies:
% 58.57/9.10 | | (8) all_8_2 = e23
% 58.57/9.10 | |
% 58.57/9.10 | | REDUCE: (1), (8) imply:
% 58.57/9.10 | | (9) $false
% 58.57/9.10 | |
% 58.57/9.10 | | CLOSE: (9) is inconsistent.
% 58.57/9.10 | |
% 58.57/9.10 | Case 2:
% 58.57/9.10 | |
% 58.57/9.10 | | (10) all_18_1 = e21 | all_18_1 = e20
% 58.57/9.10 | |
% 58.57/9.10 | | BETA: splitting (10) gives:
% 58.57/9.10 | |
% 58.57/9.10 | | Case 1:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (11) all_18_1 = e21
% 58.57/9.10 | | |
% 58.57/9.10 | | | COMBINE_EQS: (4), (11) imply:
% 58.57/9.10 | | | (12) all_8_2 = e21
% 58.57/9.10 | | |
% 58.57/9.10 | | | SIMP: (12) implies:
% 58.57/9.10 | | | (13) all_8_2 = e21
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (5), (13) imply:
% 58.57/9.10 | | | (14) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (14) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | Case 2:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (15) all_18_1 = e20
% 58.57/9.10 | | |
% 58.57/9.10 | | | COMBINE_EQS: (4), (15) imply:
% 58.57/9.10 | | | (16) all_8_2 = e20
% 58.57/9.10 | | |
% 58.57/9.10 | | | SIMP: (16) implies:
% 58.57/9.10 | | | (17) all_8_2 = e20
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (2), (17) imply:
% 58.57/9.10 | | | (18) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (18) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | End of split
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #21 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) ~ (e13 = e10)
% 58.57/9.10 (2) ~ (all_12_11 = e13)
% 58.57/9.10 (3) all_24_15 = e10
% 58.57/9.10 (4) all_16_14 = e11 | all_16_14 = e10
% 58.57/9.10 (5) all_16_14 = all_12_11
% 58.57/9.10 (6) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 58.57/9.10 (7) ~ (e13 = e12)
% 58.57/9.10 (8) all_24_13 = e12
% 58.57/9.10 (9) all_24_14 = all_12_11
% 58.57/9.10 (10) ~ (all_12_11 = e10)
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | BETA: splitting (4) gives:
% 58.57/9.10 |
% 58.57/9.10 | Case 1:
% 58.57/9.10 | |
% 58.57/9.10 | | (11) all_16_14 = e11
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (5), (11) imply:
% 58.57/9.10 | | (12) all_12_11 = e11
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (9), (12) imply:
% 58.57/9.10 | | (13) all_24_14 = e11
% 58.57/9.10 | |
% 58.57/9.10 | | REDUCE: (2), (12) imply:
% 58.57/9.10 | | (14) ~ (e13 = e11)
% 58.57/9.10 | |
% 58.57/9.10 | | SIMP: (14) implies:
% 58.57/9.10 | | (15) ~ (e13 = e11)
% 58.57/9.10 | |
% 58.57/9.10 | | REF_CLOSE: (1), (3), (6), (7), (8), (13), (15) are inconsistent by sub-proof
% 58.57/9.10 | | #27.
% 58.57/9.10 | |
% 58.57/9.10 | Case 2:
% 58.57/9.10 | |
% 58.57/9.10 | | (16) all_16_14 = e10
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (5), (16) imply:
% 58.57/9.10 | | (17) all_12_11 = e10
% 58.57/9.10 | |
% 58.57/9.10 | | REDUCE: (10), (17) imply:
% 58.57/9.10 | | (18) $false
% 58.57/9.10 | |
% 58.57/9.10 | | CLOSE: (18) is inconsistent.
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #22 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) all_18_12 = e21 | all_18_12 = e20
% 58.57/9.10 (2) all_18_12 = all_14_3
% 58.57/9.10 (3) ~ (all_14_3 = e21)
% 58.57/9.10 (4) ~ (all_14_3 = e20)
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | BETA: splitting (1) gives:
% 58.57/9.10 |
% 58.57/9.10 | Case 1:
% 58.57/9.10 | |
% 58.57/9.10 | | (5) all_18_12 = e21
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (2), (5) imply:
% 58.57/9.10 | | (6) all_14_3 = e21
% 58.57/9.10 | |
% 58.57/9.10 | | SIMP: (6) implies:
% 58.57/9.10 | | (7) all_14_3 = e21
% 58.57/9.10 | |
% 58.57/9.10 | | REDUCE: (3), (7) imply:
% 58.57/9.10 | | (8) $false
% 58.57/9.10 | |
% 58.57/9.10 | | CLOSE: (8) is inconsistent.
% 58.57/9.10 | |
% 58.57/9.10 | Case 2:
% 58.57/9.10 | |
% 58.57/9.10 | | (9) all_18_12 = e20
% 58.57/9.10 | |
% 58.57/9.10 | | COMBINE_EQS: (2), (9) imply:
% 58.57/9.10 | | (10) all_14_3 = e20
% 58.57/9.10 | |
% 58.57/9.10 | | SIMP: (10) implies:
% 58.57/9.10 | | (11) all_14_3 = e20
% 58.57/9.10 | |
% 58.57/9.10 | | REDUCE: (4), (11) imply:
% 58.57/9.10 | | (12) $false
% 58.57/9.10 | |
% 58.57/9.10 | | CLOSE: (12) is inconsistent.
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #23 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) all_28_61 = e23
% 58.57/9.10 (2) all_28_64 = e22
% 58.57/9.10 (3) all_28_67 = e21
% 58.57/9.10 (4) all_28_70 = e20
% 58.57/9.10 (5) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.57/9.10 (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.57/9.10 (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.57/9.10 (all_28_64 = e21) & ~ (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.57/9.10 (all_28_61 = e20) & ~ (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.57/9.10 (all_28_70 = e20))
% 58.57/9.10
% 58.57/9.10 Begin of proof
% 58.57/9.10 |
% 58.57/9.10 | BETA: splitting (5) gives:
% 58.57/9.10 |
% 58.57/9.10 | Case 1:
% 58.57/9.10 | |
% 58.57/9.10 | | (6) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 58.57/9.10 | | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 58.57/9.10 | | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22))
% 58.57/9.10 | |
% 58.57/9.10 | | BETA: splitting (6) gives:
% 58.57/9.10 | |
% 58.57/9.10 | | Case 1:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (7) ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23)
% 58.57/9.10 | | | & ~ (all_28_70 = e23)
% 58.57/9.10 | | |
% 58.57/9.10 | | | ALPHA: (7) implies:
% 58.57/9.10 | | | (8) ~ (all_28_61 = e23)
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (1), (8) imply:
% 58.57/9.10 | | | (9) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (9) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | Case 2:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (10) ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~ (all_28_67 = e22)
% 58.57/9.10 | | | & ~ (all_28_70 = e22)
% 58.57/9.10 | | |
% 58.57/9.10 | | | ALPHA: (10) implies:
% 58.57/9.10 | | | (11) ~ (all_28_64 = e22)
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (2), (11) imply:
% 58.57/9.10 | | | (12) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (12) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | End of split
% 58.57/9.10 | |
% 58.57/9.10 | Case 2:
% 58.57/9.10 | |
% 58.57/9.10 | | (13) ( ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21)
% 58.57/9.10 | | & ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 58.57/9.10 | | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.57/9.10 | |
% 58.57/9.10 | | BETA: splitting (13) gives:
% 58.57/9.10 | |
% 58.57/9.10 | | Case 1:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (14) ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21)
% 58.57/9.10 | | | & ~ (all_28_70 = e21)
% 58.57/9.10 | | |
% 58.57/9.10 | | | ALPHA: (14) implies:
% 58.57/9.10 | | | (15) ~ (all_28_67 = e21)
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (3), (15) imply:
% 58.57/9.10 | | | (16) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (16) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | Case 2:
% 58.57/9.10 | | |
% 58.57/9.10 | | | (17) ~ (all_28_61 = e20) & ~ (all_28_64 = e20) & ~ (all_28_67 = e20)
% 58.57/9.10 | | | & ~ (all_28_70 = e20)
% 58.57/9.10 | | |
% 58.57/9.10 | | | ALPHA: (17) implies:
% 58.57/9.10 | | | (18) ~ (all_28_70 = e20)
% 58.57/9.10 | | |
% 58.57/9.10 | | | REDUCE: (4), (18) imply:
% 58.57/9.10 | | | (19) $false
% 58.57/9.10 | | |
% 58.57/9.10 | | | CLOSE: (19) is inconsistent.
% 58.57/9.10 | | |
% 58.57/9.10 | | End of split
% 58.57/9.10 | |
% 58.57/9.10 | End of split
% 58.57/9.10 |
% 58.57/9.10 End of proof
% 58.57/9.10
% 58.57/9.10 Sub-proof #24 shows that the following formulas are inconsistent:
% 58.57/9.10 ----------------------------------------------------------------
% 58.57/9.10 (1) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 58.57/9.10 (2) ~ (e23 = e21)
% 58.57/9.10 (3) all_26_12 = e21
% 58.57/9.11 (4) ~ (e23 = e20)
% 58.57/9.11 (5) all_26_2 = e20
% 58.57/9.11 (6) ~ (all_14_2 = e23)
% 58.57/9.11 (7) all_26_6 = all_14_2
% 58.57/9.11
% 58.57/9.11 Begin of proof
% 58.57/9.11 |
% 58.57/9.11 | BETA: splitting (1) gives:
% 58.57/9.11 |
% 58.57/9.11 | Case 1:
% 58.57/9.11 | |
% 58.57/9.11 | | (8) all_26_2 = e23
% 58.57/9.11 | |
% 58.57/9.11 | | COMBINE_EQS: (5), (8) imply:
% 58.57/9.11 | | (9) e23 = e20
% 58.57/9.11 | |
% 58.57/9.11 | | REDUCE: (4), (9) imply:
% 58.57/9.11 | | (10) $false
% 58.57/9.11 | |
% 58.57/9.11 | | CLOSE: (10) is inconsistent.
% 58.57/9.11 | |
% 58.57/9.11 | Case 2:
% 58.57/9.11 | |
% 58.57/9.11 | | (11) all_26_6 = e23 | all_26_12 = e23
% 58.57/9.11 | |
% 58.57/9.11 | | BETA: splitting (11) gives:
% 58.57/9.11 | |
% 58.57/9.11 | | Case 1:
% 58.57/9.11 | | |
% 58.57/9.11 | | | (12) all_26_6 = e23
% 58.57/9.11 | | |
% 58.57/9.11 | | | COMBINE_EQS: (7), (12) imply:
% 58.57/9.11 | | | (13) all_14_2 = e23
% 58.57/9.11 | | |
% 58.57/9.11 | | | SIMP: (13) implies:
% 58.57/9.11 | | | (14) all_14_2 = e23
% 58.57/9.11 | | |
% 58.57/9.11 | | | REDUCE: (6), (14) imply:
% 58.57/9.11 | | | (15) $false
% 58.57/9.11 | | |
% 58.57/9.11 | | | CLOSE: (15) is inconsistent.
% 58.57/9.11 | | |
% 58.57/9.11 | | Case 2:
% 58.57/9.11 | | |
% 58.57/9.11 | | | (16) all_26_12 = e23
% 58.57/9.11 | | |
% 58.57/9.11 | | | COMBINE_EQS: (3), (16) imply:
% 58.57/9.11 | | | (17) e23 = e21
% 58.57/9.11 | | |
% 58.57/9.11 | | | REDUCE: (2), (17) imply:
% 58.57/9.11 | | | (18) $false
% 58.57/9.11 | | |
% 58.57/9.11 | | | CLOSE: (18) is inconsistent.
% 58.57/9.11 | | |
% 58.57/9.11 | | End of split
% 58.57/9.11 | |
% 58.57/9.11 | End of split
% 58.57/9.11 |
% 58.57/9.11 End of proof
% 58.57/9.11
% 58.57/9.11 Sub-proof #25 shows that the following formulas are inconsistent:
% 58.57/9.11 ----------------------------------------------------------------
% 58.57/9.11 (1) ~ (e13 = e10)
% 58.57/9.11 (2) all_24_4 = e10
% 58.57/9.11 (3) all_20_15 = e10
% 58.57/9.11 (4) all_20_6 = e10
% 58.57/9.11 (5) ~ (all_12_11 = e12)
% 58.57/9.11 (6) all_24_15 = e10
% 58.57/9.11 (7) all_20_3 = e11
% 58.57/9.11 (8) ~ (e13 = e11)
% 58.57/9.11 (9) ~ (all_12_10 = e12)
% 58.57/9.11 (10) ~ (e12 = e11)
% 58.57/9.11 (11) all_20_0 = e10
% 58.57/9.11 (12) all_24_8 = all_12_10
% 58.57/9.11 (13) all_20_11 = e11
% 58.57/9.11 (14) all_24_12 = all_12_3
% 58.57/9.11 (15) all_20_13 = e12
% 58.57/9.11 (16) ~ (e11 = e10)
% 58.57/9.11 (17) all_20_8 = all_12_11
% 58.57/9.11 (18) ~ (all_12_10 = e10)
% 58.57/9.11 (19) all_24_12 = e13 | all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 58.57/9.11 (20) all_20_4 = e10
% 58.57/9.11 (21) ~ (e12 = e10)
% 58.57/9.11 (22) ~ (e13 = e12)
% 58.57/9.11 (23) all_16_12 = e13 | all_16_12 = e11 | all_16_12 = e10
% 58.57/9.11 (24) all_24_13 = e12
% 58.57/9.11 (25) all_16_12 = all_12_3
% 58.57/9.11 (26) all_20_1 = e13
% 58.57/9.11 (27) all_20_14 = all_12_10
% 58.57/9.11 (28) all_20_5 = e12
% 58.57/9.11 (29) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 58.57/9.11 (30) all_24_14 = all_12_11
% 58.57/9.11 (31) ~ (all_12_3 = e13)
% 58.57/9.11 (32) ~ (all_12_10 = all_12_11)
% 58.57/9.11 (33) ~ (all_12_3 = all_12_11)
% 58.57/9.11 (34) all_24_5 = e12
% 58.57/9.11 (35) all_20_2 = all_12_3
% 58.57/9.11 (36) ~ (all_12_10 = e13)
% 58.57/9.11 (37) ~ (all_12_11 = e10)
% 58.57/9.11 (38) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~ (all_20_12 = e13) & ( ~
% 58.57/9.11 (all_20_1 = e11) | ~ (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.57/9.11 (all_20_15 = e13))) | (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.57/9.11 (all_20_2 = e10) | ~ (all_20_15 = e13))) | (all_20_2 = e10 & ~
% 58.57/9.11 (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.57/9.11 (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~ (all_20_14 = e13))) |
% 58.57/9.11 (all_20_3 = e13 & ~ (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 58.57/9.11 (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.57/9.11 (all_20_15 = e12))) | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 58.57/9.11 (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 58.57/9.11 (all_20_5 = e10) | ~ (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 58.57/9.11 (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.57/9.11 (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~ (all_20_14 = e12))) |
% 58.57/9.11 (all_20_6 = e13 & ~ (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.57/9.11 (all_20_7 = e12) | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.57/9.11 (all_20_15 = e11))) | (all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 58.57/9.11 (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.57/9.11 (all_20_8 = e10) | ~ (all_20_15 = e11))) | (all_20_8 = e10 & ~
% 58.57/9.11 (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.57/9.11 (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~ (all_20_12 = e11))) |
% 58.57/9.11 (all_20_9 = e13 & ~ (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.57/9.11 (all_20_11 = e12) | ~ (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 58.57/9.11 ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 58.57/9.11 (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.57/9.11 (all_20_13 = e11) | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 58.57/9.11 (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.57/9.11 (all_20_10 = e10)) & ( ~ (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 58.57/9.11 (39) all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 58.57/9.11 (40) ~ (all_12_3 = e10)
% 58.57/9.11
% 58.57/9.11 Begin of proof
% 58.57/9.11 |
% 58.57/9.11 | BETA: splitting (19) gives:
% 58.57/9.11 |
% 58.57/9.11 | Case 1:
% 58.57/9.11 | |
% 58.57/9.11 | | (41) all_24_12 = e13
% 58.57/9.11 | |
% 58.57/9.11 | | COMBINE_EQS: (14), (41) imply:
% 58.57/9.11 | | (42) all_12_3 = e13
% 58.57/9.11 | |
% 58.57/9.11 | | SIMP: (42) implies:
% 58.57/9.11 | | (43) all_12_3 = e13
% 58.57/9.11 | |
% 58.57/9.11 | | REDUCE: (31), (43) imply:
% 58.57/9.11 | | (44) $false
% 58.57/9.11 | |
% 58.57/9.11 | | CLOSE: (44) is inconsistent.
% 58.57/9.11 | |
% 58.57/9.11 | Case 2:
% 58.57/9.11 | |
% 58.57/9.11 | | (45) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 58.57/9.11 | |
% 58.57/9.11 | | BETA: splitting (39) gives:
% 58.57/9.11 | |
% 58.57/9.11 | | Case 1:
% 58.57/9.11 | | |
% 58.57/9.11 | | | (46) all_24_4 = e13
% 58.57/9.11 | | |
% 58.57/9.11 | | | COMBINE_EQS: (2), (46) imply:
% 58.57/9.11 | | | (47) e13 = e10
% 58.57/9.11 | | |
% 58.57/9.11 | | | REDUCE: (1), (47) imply:
% 58.57/9.11 | | | (48) $false
% 58.57/9.11 | | |
% 58.57/9.11 | | | CLOSE: (48) is inconsistent.
% 58.57/9.11 | | |
% 58.57/9.11 | | Case 2:
% 58.57/9.11 | | |
% 58.57/9.11 | | | (49) all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 58.57/9.11 | | |
% 58.57/9.11 | | | BETA: splitting (49) gives:
% 58.57/9.11 | | |
% 58.57/9.11 | | | Case 1:
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | (50) all_24_5 = e13
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | COMBINE_EQS: (34), (50) imply:
% 58.57/9.11 | | | | (51) e13 = e12
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | REDUCE: (22), (51) imply:
% 58.57/9.11 | | | | (52) $false
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | CLOSE: (52) is inconsistent.
% 58.57/9.11 | | | |
% 58.57/9.11 | | | Case 2:
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | (53) all_24_8 = e13 | all_24_14 = e13
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | BETA: splitting (53) gives:
% 58.57/9.11 | | | |
% 58.57/9.11 | | | | Case 1:
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | (54) all_24_8 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | COMBINE_EQS: (12), (54) imply:
% 58.57/9.11 | | | | | (55) all_12_10 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | SIMP: (55) implies:
% 58.57/9.11 | | | | | (56) all_12_10 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | REDUCE: (36), (56) imply:
% 58.57/9.11 | | | | | (57) $false
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | CLOSE: (57) is inconsistent.
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | Case 2:
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | (58) all_24_14 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | COMBINE_EQS: (30), (58) imply:
% 58.57/9.11 | | | | | (59) all_12_11 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | SIMP: (59) implies:
% 58.57/9.11 | | | | | (60) all_12_11 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | COMBINE_EQS: (17), (60) imply:
% 58.57/9.11 | | | | | (61) all_20_8 = e13
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | BETA: splitting (29) gives:
% 58.57/9.11 | | | | |
% 58.57/9.11 | | | | | Case 1:
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | (62) all_24_4 = e11
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | COMBINE_EQS: (2), (62) imply:
% 58.57/9.11 | | | | | | (63) e11 = e10
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | REDUCE: (16), (63) imply:
% 58.57/9.11 | | | | | | (64) $false
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | CLOSE: (64) is inconsistent.
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | Case 2:
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | (65) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | BETA: splitting (23) gives:
% 58.57/9.11 | | | | | |
% 58.57/9.11 | | | | | | Case 1:
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | (66) all_16_12 = e13
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | COMBINE_EQS: (25), (66) imply:
% 58.57/9.11 | | | | | | | (67) all_12_3 = e13
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | REDUCE: (31), (67) imply:
% 58.57/9.11 | | | | | | | (68) $false
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | CLOSE: (68) is inconsistent.
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | Case 2:
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | (69) all_16_12 = e11 | all_16_12 = e10
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | BETA: splitting (69) gives:
% 58.57/9.11 | | | | | | |
% 58.57/9.11 | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | |
% 58.57/9.11 | | | | | | | | (70) all_16_12 = e11
% 58.57/9.11 | | | | | | | |
% 58.57/9.11 | | | | | | | | COMBINE_EQS: (25), (70) imply:
% 58.57/9.11 | | | | | | | | (71) all_12_3 = e11
% 58.57/9.11 | | | | | | | |
% 58.57/9.11 | | | | | | | | COMBINE_EQS: (35), (71) imply:
% 58.57/9.11 | | | | | | | | (72) all_20_2 = e11
% 58.57/9.11 | | | | | | | |
% 58.57/9.11 | | | | | | | | BETA: splitting (65) gives:
% 58.57/9.11 | | | | | | | |
% 58.57/9.11 | | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | (73) all_24_5 = e11
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | COMBINE_EQS: (34), (73) imply:
% 58.57/9.11 | | | | | | | | | (74) e12 = e11
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | SIMP: (74) implies:
% 58.57/9.11 | | | | | | | | | (75) e12 = e11
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | REDUCE: (10), (75) imply:
% 58.57/9.11 | | | | | | | | | (76) $false
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | CLOSE: (76) is inconsistent.
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | Case 2:
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | (77) all_24_8 = e11 | all_24_14 = e11
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | BETA: splitting (77) gives:
% 58.57/9.11 | | | | | | | | |
% 58.57/9.11 | | | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | (78) all_24_8 = e11
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | COMBINE_EQS: (12), (78) imply:
% 58.57/9.11 | | | | | | | | | | (79) all_12_10 = e11
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | SIMP: (79) implies:
% 58.57/9.11 | | | | | | | | | | (80) all_12_10 = e11
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | COMBINE_EQS: (27), (80) imply:
% 58.57/9.11 | | | | | | | | | | (81) all_20_14 = e11
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | REDUCE: (36), (80) imply:
% 58.57/9.11 | | | | | | | | | | (82) ~ (e13 = e11)
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | REDUCE: (9), (80) imply:
% 58.57/9.11 | | | | | | | | | | (83) ~ (e12 = e11)
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | BETA: splitting (38) gives:
% 58.57/9.11 | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | (84) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.11 | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.57/9.11 | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 58.57/9.11 | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 58.57/9.11 | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.57/9.11 | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 58.57/9.11 | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.57/9.11 | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.11 | | | | | | | | | | | (all_20_14 = e13))) | (all_20_3 = e13 & ~
% 58.57/9.11 | | | | | | | | | | | (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 58.57/9.11 | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~
% 58.57/9.11 | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 58.57/9.11 | | | | | | | | | | | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 58.57/9.11 | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.57/9.11 | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.57/9.11 | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 58.57/9.11 | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 58.57/9.11 | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 58.57/9.11 | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 58.57/9.11 | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | BETA: splitting (84) gives:
% 58.57/9.11 | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | (85) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_1 = e11 & ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_2 = e10) | ~ (all_20_15 = e13))) |
% 58.57/9.11 | | | | | | | | | | | | (all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.11 | | | | | | | | | | | | (all_20_14 = e13)))
% 58.57/9.11 | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | BETA: splitting (85) gives:
% 58.57/9.11 | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | | (86) all_20_0 = e12 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_12 = e13) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_15 = e13))
% 58.57/9.11 | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | | REF_CLOSE: (11), (21), (86) are inconsistent by sub-proof
% 58.57/9.11 | | | | | | | | | | | | | #131.
% 58.57/9.11 | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | Case 2:
% 58.57/9.11 | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | | (87) (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_15 = e13))) | (all_20_2 = e10 & ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 58.57/9.11 | | | | | | | | | | | | | (all_20_1 = e11) | ~ (all_20_14 = e13)))
% 58.57/9.11 | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | | BETA: splitting (87) gives:
% 58.57/9.11 | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | | Case 1:
% 58.57/9.11 | | | | | | | | | | | | | |
% 58.57/9.11 | | | | | | | | | | | | | | (88) all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 58.57/9.11 | | | | | | | | | | | | | | (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.57/9.11 | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 58.57/9.11 | | | | | | | | | | | | | | (all_20_15 = e13))
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | ALPHA: (88) implies:
% 58.57/9.12 | | | | | | | | | | | | | | (89) all_20_1 = e11
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | COMBINE_EQS: (26), (89) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (90) e13 = e11
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | SIMP: (90) implies:
% 58.57/9.12 | | | | | | | | | | | | | | (91) e13 = e11
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | COMBINE_EQS: (58), (91) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (92) all_24_14 = e11
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (8), (22), (24), (45), (92) are
% 58.57/9.12 | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | (93) all_20_2 = e10 & ~ (all_20_10 = e13) & ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_14 = e13))
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | REF_CLOSE: (16), (72), (93) are inconsistent by sub-proof
% 58.57/9.12 | | | | | | | | | | | | | | #26.
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | (94) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_4 = e11 & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_5 = e10) | ~ (all_20_15 = e12))) |
% 58.57/9.12 | | | | | | | | | | | | (all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_14 = e12)))
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | BETA: splitting (94) gives:
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | Case 1:
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | (95) all_20_3 = e13 & ~ (all_20_10 = e12) & ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_12 = e12) & ( ~ (all_20_4 = e11) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_15 = e12))
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | ALPHA: (95) implies:
% 58.57/9.12 | | | | | | | | | | | | | (96) all_20_3 = e13
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | COMBINE_EQS: (7), (96) imply:
% 58.57/9.12 | | | | | | | | | | | | | (97) e13 = e11
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | COMBINE_EQS: (58), (97) imply:
% 58.57/9.12 | | | | | | | | | | | | | (98) all_24_14 = e11
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | REF_CLOSE: (1), (6), (8), (22), (24), (45), (98) are
% 58.57/9.12 | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | (99) (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | BETA: splitting (99) gives:
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | Case 1:
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | (100) all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_15 = e12))
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (100) are inconsistent by sub-proof
% 58.57/9.12 | | | | | | | | | | | | | | #118.
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | (101) all_20_5 = e10 & ~ (all_20_12 = e12) & ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_14 = e12))
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | ALPHA: (101) implies:
% 58.57/9.12 | | | | | | | | | | | | | | (102) all_20_5 = e10
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | COMBINE_EQS: (28), (102) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (103) e12 = e10
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | REDUCE: (21), (103) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (104) $false
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | (105) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 58.57/9.12 | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.57/9.12 | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.57/9.12 | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 58.57/9.12 | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | (all_20_12 = e11))) | (all_20_9 = e13 & ~
% 58.57/9.12 | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.57/9.12 | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & (
% 58.57/9.12 | | | | | | | | | | | ~ (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 58.57/9.12 | | | | | | | | | | | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 58.57/9.12 | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_13 = e11) |
% 58.57/9.12 | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 58.57/9.12 | | | | | | | | | | | (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.57/9.12 | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.57/9.12 | | | | | | | | | | | (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 58.57/9.12 | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | BETA: splitting (105) gives:
% 58.57/9.12 | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | Case 1:
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | (106) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_7 = e12 & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_8 = e10) | ~ (all_20_15 = e11))) |
% 58.57/9.12 | | | | | | | | | | | | (all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e11)))
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | BETA: splitting (106) gives:
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | Case 1:
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | (107) all_20_6 = e13 & ~ (all_20_10 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_7 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_15 = e11))
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | REF_CLOSE: (1), (4), (107) are inconsistent by sub-proof
% 58.57/9.12 | | | | | | | | | | | | | #117.
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | (108) (all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_15 = e11))) | (all_20_8 = e10 & ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 58.57/9.12 | | | | | | | | | | | | | (all_20_7 = e12) | ~ (all_20_12 = e11)))
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | BETA: splitting (108) gives:
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | Case 1:
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | (109) all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_8 = e10) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_15 = e11))
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | ALPHA: (109) implies:
% 58.57/9.12 | | | | | | | | | | | | | | (110) ~ (all_20_14 = e11)
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | REDUCE: (81), (110) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (111) $false
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | (112) all_20_8 = e10 & ~ (all_20_14 = e11) & ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | | | | (all_20_12 = e11))
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | ALPHA: (112) implies:
% 58.57/9.12 | | | | | | | | | | | | | | (113) all_20_8 = e10
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | COMBINE_EQS: (61), (113) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (114) e13 = e10
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | REDUCE: (1), (114) imply:
% 58.57/9.12 | | | | | | | | | | | | | | (115) $false
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 58.57/9.12 | | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | (116) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_11 = e12) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 58.57/9.12 | | | | | | | | | | | | ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_13 = e11) | ~ (all_20_14 = e10))) |
% 58.57/9.12 | | | | | | | | | | | | (all_20_13 = e11 & ~ (all_20_14 = e10) & ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 58.57/9.12 | | | | | | | | | | | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) |
% 58.57/9.12 | | | | | | | | | | | | ~ (all_20_12 = e10)))
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | | REF_CLOSE: (3), (10), (13), (15), (116) are inconsistent by
% 58.57/9.12 | | | | | | | | | | | | sub-proof #116.
% 58.57/9.12 | | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | (117) all_24_14 = e11
% 58.57/9.12 | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | | REF_CLOSE: (1), (6), (8), (22), (24), (45), (117) are
% 58.57/9.12 | | | | | | | | | | inconsistent by sub-proof #27.
% 58.57/9.12 | | | | | | | | | |
% 58.57/9.12 | | | | | | | | | End of split
% 58.57/9.12 | | | | | | | | |
% 58.57/9.12 | | | | | | | | End of split
% 58.57/9.12 | | | | | | | |
% 58.57/9.12 | | | | | | | Case 2:
% 58.57/9.12 | | | | | | | |
% 58.57/9.12 | | | | | | | | (118) all_16_12 = e10
% 58.57/9.12 | | | | | | | |
% 58.57/9.12 | | | | | | | | COMBINE_EQS: (25), (118) imply:
% 58.57/9.12 | | | | | | | | (119) all_12_3 = e10
% 58.57/9.12 | | | | | | | |
% 58.57/9.12 | | | | | | | | REDUCE: (40), (119) imply:
% 58.57/9.12 | | | | | | | | (120) $false
% 58.57/9.12 | | | | | | | |
% 58.57/9.12 | | | | | | | | CLOSE: (120) is inconsistent.
% 58.57/9.12 | | | | | | | |
% 58.57/9.12 | | | | | | | End of split
% 58.57/9.12 | | | | | | |
% 58.57/9.12 | | | | | | End of split
% 58.57/9.12 | | | | | |
% 58.57/9.12 | | | | | End of split
% 58.57/9.12 | | | | |
% 58.57/9.12 | | | | End of split
% 58.57/9.12 | | | |
% 58.57/9.12 | | | End of split
% 58.57/9.12 | | |
% 58.57/9.12 | | End of split
% 58.57/9.12 | |
% 58.57/9.12 | End of split
% 58.57/9.12 |
% 58.57/9.12 End of proof
% 58.57/9.12
% 58.57/9.12 Sub-proof #26 shows that the following formulas are inconsistent:
% 58.57/9.12 ----------------------------------------------------------------
% 58.57/9.12 (1) all_20_2 = e10 & ~ (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 58.57/9.12 (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 58.57/9.12 (all_20_14 = e13))
% 58.57/9.12 (2) all_20_2 = e11
% 58.57/9.12 (3) ~ (e11 = e10)
% 58.57/9.12
% 58.57/9.12 Begin of proof
% 58.57/9.12 |
% 58.57/9.12 | ALPHA: (1) implies:
% 58.57/9.12 | (4) all_20_2 = e10
% 58.57/9.12 |
% 58.57/9.12 | COMBINE_EQS: (2), (4) imply:
% 58.57/9.12 | (5) e11 = e10
% 58.57/9.12 |
% 58.57/9.12 | SIMP: (5) implies:
% 58.57/9.12 | (6) e11 = e10
% 58.57/9.12 |
% 58.57/9.12 | REDUCE: (3), (6) imply:
% 58.57/9.12 | (7) $false
% 58.57/9.12 |
% 58.57/9.12 | CLOSE: (7) is inconsistent.
% 58.57/9.12 |
% 58.57/9.12 End of proof
% 58.57/9.12
% 58.57/9.12 Sub-proof #27 shows that the following formulas are inconsistent:
% 58.57/9.12 ----------------------------------------------------------------
% 58.57/9.12 (1) ~ (e13 = e10)
% 58.57/9.12 (2) all_24_15 = e10
% 58.57/9.12 (3) ~ (e13 = e11)
% 58.57/9.12 (4) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13
% 58.57/9.12 (5) ~ (e13 = e12)
% 58.57/9.12 (6) all_24_13 = e12
% 58.57/9.12 (7) all_24_14 = e11
% 58.57/9.12
% 58.57/9.12 Begin of proof
% 58.57/9.12 |
% 58.57/9.12 | BETA: splitting (4) gives:
% 58.57/9.12 |
% 58.57/9.12 | Case 1:
% 58.57/9.12 | |
% 58.57/9.12 | | (8) all_24_13 = e13
% 58.57/9.12 | |
% 58.57/9.12 | | COMBINE_EQS: (6), (8) imply:
% 58.57/9.12 | | (9) e13 = e12
% 58.57/9.12 | |
% 58.57/9.12 | | REDUCE: (5), (9) imply:
% 58.57/9.12 | | (10) $false
% 58.57/9.12 | |
% 58.57/9.12 | | CLOSE: (10) is inconsistent.
% 58.57/9.12 | |
% 58.57/9.12 | Case 2:
% 58.57/9.12 | |
% 58.57/9.12 | | (11) all_24_14 = e13 | all_24_15 = e13
% 58.57/9.12 | |
% 58.57/9.12 | | BETA: splitting (11) gives:
% 58.57/9.12 | |
% 58.57/9.12 | | Case 1:
% 58.57/9.12 | | |
% 58.57/9.12 | | | (12) all_24_14 = e13
% 58.57/9.12 | | |
% 58.57/9.12 | | | COMBINE_EQS: (7), (12) imply:
% 58.57/9.12 | | | (13) e13 = e11
% 58.57/9.12 | | |
% 58.57/9.12 | | | REDUCE: (3), (13) imply:
% 58.57/9.12 | | | (14) $false
% 58.57/9.12 | | |
% 58.57/9.12 | | | CLOSE: (14) is inconsistent.
% 58.57/9.12 | | |
% 58.57/9.12 | | Case 2:
% 58.57/9.12 | | |
% 58.57/9.12 | | | (15) all_24_15 = e13
% 58.57/9.12 | | |
% 58.57/9.12 | | | COMBINE_EQS: (2), (15) imply:
% 58.57/9.12 | | | (16) e13 = e10
% 58.57/9.12 | | |
% 58.57/9.12 | | | REDUCE: (1), (16) imply:
% 58.57/9.12 | | | (17) $false
% 58.57/9.12 | | |
% 58.57/9.12 | | | CLOSE: (17) is inconsistent.
% 58.57/9.12 | | |
% 58.57/9.12 | | End of split
% 58.57/9.12 | |
% 58.57/9.12 | End of split
% 58.57/9.12 |
% 58.57/9.12 End of proof
% 58.57/9.12
% 58.57/9.12 Sub-proof #28 shows that the following formulas are inconsistent:
% 58.57/9.12 ----------------------------------------------------------------
% 58.57/9.12 (1) all_26_6 = all_14_2
% 58.57/9.12 (2) all_26_6 = e20
% 58.57/9.12 (3) ~ (all_14_2 = e20)
% 58.57/9.12
% 58.57/9.12 Begin of proof
% 58.57/9.12 |
% 58.57/9.12 | COMBINE_EQS: (1), (2) imply:
% 58.57/9.12 | (4) all_14_2 = e20
% 58.57/9.12 |
% 58.57/9.12 | SIMP: (4) implies:
% 58.57/9.12 | (5) all_14_2 = e20
% 58.57/9.12 |
% 58.57/9.12 | REDUCE: (3), (5) imply:
% 58.57/9.12 | (6) $false
% 58.57/9.12 |
% 58.57/9.12 | CLOSE: (6) is inconsistent.
% 58.57/9.12 |
% 58.57/9.12 End of proof
% 58.57/9.12
% 58.57/9.12 Sub-proof #29 shows that the following formulas are inconsistent:
% 58.57/9.12 ----------------------------------------------------------------
% 58.57/9.12 (1) all_22_11 = e21
% 58.57/9.12 (2) ~ (all_14_2 = all_14_6)
% 58.57/9.12 (3) ~ (all_14_12 = all_8_2)
% 58.57/9.12 (4) all_26_12 = all_14_3
% 58.57/9.12 (5) all_18_3 = all_14_12
% 58.57/9.12 (6) ~ (all_14_6 = all_8_2)
% 58.57/9.12 (7) ~ (all_14_6 = e22)
% 58.57/9.12 (8) all_26_7 = all_14_6
% 58.57/9.12 (9) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 58.57/9.12 (10) all_18_9 = all_14_6
% 58.57/9.12 (11) ~ (all_14_6 = all_4_1)
% 58.57/9.12 (12) ~ (all_4_1 = e22)
% 58.57/9.12 (13) all_22_4 = all_14_6
% 58.57/9.12 (14) ~ (all_14_2 = all_4_1)
% 58.57/9.12 (15) all_26_14 = all_14_11
% 58.57/9.12 (16) all_22_3 = all_8_2
% 58.57/9.12 (17) all_22_2 = all_14_3
% 58.57/9.12 (18) all_22_0 = e20
% 58.57/9.12 (19) all_22_6 = all_14_8
% 58.57/9.12 (20) all_22_15 = e20
% 58.57/9.12 (21) all_18_8 = all_14_2
% 58.57/9.13 (22) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.57/9.13 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.57/9.13 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.57/9.13 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.57/9.13 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.57/9.13 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.57/9.13 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.57/9.13 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.57/9.13 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.57/9.13 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.57/9.13 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.57/9.13 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.57/9.13 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.57/9.13 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 58.57/9.13 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.57/9.13 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.13 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.57/9.13 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.13 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.57/9.13 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.13 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.57/9.13 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.13 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.57/9.13 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.57/9.13 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.13 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.57/9.13 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.13 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.57/9.13 (23) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 58.57/9.13 (24) all_22_9 = all_14_12
% 58.57/9.13 (25) all_18_14 = e23 | all_18_14 = e21 | all_18_14 = e20
% 58.57/9.13 (26) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 58.57/9.13 (27) ~ (all_14_8 = all_14_12)
% 58.57/9.13 (28) ~ (all_14_11 = e20)
% 58.57/9.13 (29) ~ (all_14_3 = e20)
% 58.57/9.13 (30) all_18_14 = all_14_11
% 58.57/9.13 (31) ~ (all_8_2 = e22)
% 58.57/9.13 (32) all_22_14 = all_4_1
% 58.57/9.13 (33) ~ (all_14_8 = all_14_11)
% 58.57/9.13 (34) all_22_8 = all_14_11
% 58.57/9.13 (35) ~ (all_14_11 = all_4_1)
% 58.57/9.13 (36) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.57/9.13 (37) all_26_13 = e22
% 58.57/9.13 (38) all_18_12 = all_14_3
% 58.57/9.13 (39) ~ (all_14_6 = e23)
% 58.57/9.13 (40) ~ (all_14_3 = all_14_11)
% 58.57/9.13 (41) all_26_1 = all_8_2
% 58.57/9.13 (42) all_22_13 = e22
% 58.57/9.13 (43) all_26_3 = e23
% 58.57/9.13 (44) all_26_15 = e20
% 58.57/9.13 (45) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~
% 58.57/9.13 (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8
% 58.57/9.13 = e20)
% 58.57/9.13 (46) all_18_3 = e23 | all_18_3 = e21 | all_18_3 = e20
% 58.57/9.13 (47) all_22_1 = all_14_2
% 58.57/9.13 (48) all_18_12 = e23 | all_18_12 = e21 | all_18_12 = e20
% 58.57/9.13 (49) ~ (all_14_2 = all_14_3)
% 58.57/9.13 (50) all_22_5 = e22
% 58.57/9.13 (51) ~ (all_14_3 = e22)
% 58.57/9.13
% 58.57/9.13 Begin of proof
% 58.57/9.13 |
% 58.57/9.13 | ALPHA: (45) implies:
% 58.57/9.13 | (52) all_22_14 = e21
% 58.57/9.13 |
% 58.57/9.13 | COMBINE_EQS: (32), (52) imply:
% 58.57/9.13 | (53) all_4_1 = e21
% 58.57/9.13 |
% 58.57/9.13 | REDUCE: (14), (53) imply:
% 58.57/9.13 | (54) ~ (all_14_2 = e21)
% 58.57/9.13 |
% 58.57/9.13 | REDUCE: (11), (53) imply:
% 58.57/9.13 | (55) ~ (all_14_6 = e21)
% 58.57/9.13 |
% 58.57/9.13 | REDUCE: (35), (53) imply:
% 58.57/9.13 | (56) ~ (all_14_11 = e21)
% 58.57/9.13 |
% 58.57/9.13 | REDUCE: (12), (53) imply:
% 58.57/9.13 | (57) ~ (e22 = e21)
% 58.57/9.13 |
% 58.57/9.13 | SIMP: (57) implies:
% 58.57/9.13 | (58) ~ (e22 = e21)
% 58.57/9.13 |
% 58.57/9.13 | BETA: splitting (23) gives:
% 58.57/9.13 |
% 58.57/9.13 | Case 1:
% 58.57/9.13 | |
% 58.57/9.13 | | (59) all_18_9 = e23
% 58.57/9.13 | |
% 58.57/9.13 | | REF_CLOSE: (10), (39), (59) are inconsistent by sub-proof #74.
% 58.57/9.13 | |
% 58.57/9.13 | Case 2:
% 58.57/9.13 | |
% 58.57/9.13 | | (60) all_18_9 = e21 | all_18_9 = e20
% 58.57/9.13 | |
% 58.57/9.13 | | BETA: splitting (60) gives:
% 58.57/9.13 | |
% 58.57/9.13 | | Case 1:
% 58.57/9.13 | | |
% 58.57/9.13 | | | (61) all_18_9 = e21
% 58.57/9.13 | | |
% 58.57/9.13 | | | REF_CLOSE: (10), (55), (61) are inconsistent by sub-proof #73.
% 58.57/9.13 | | |
% 58.57/9.13 | | Case 2:
% 58.57/9.13 | | |
% 58.57/9.13 | | | (62) all_18_9 = e20
% 58.57/9.13 | | |
% 58.57/9.13 | | | COMBINE_EQS: (10), (62) imply:
% 58.57/9.13 | | | (63) all_14_6 = e20
% 58.57/9.13 | | |
% 58.57/9.13 | | | SIMP: (63) implies:
% 58.57/9.13 | | | (64) all_14_6 = e20
% 58.57/9.13 | | |
% 58.57/9.13 | | | COMBINE_EQS: (13), (64) imply:
% 58.57/9.13 | | | (65) all_22_4 = e20
% 58.57/9.13 | | |
% 58.57/9.13 | | | REDUCE: (2), (64) imply:
% 58.57/9.13 | | | (66) ~ (all_14_2 = e20)
% 58.57/9.13 | | |
% 58.57/9.13 | | | REDUCE: (6), (64) imply:
% 58.57/9.13 | | | (67) ~ (all_8_2 = e20)
% 58.57/9.13 | | |
% 58.57/9.13 | | | SIMP: (67) implies:
% 58.57/9.13 | | | (68) ~ (all_8_2 = e20)
% 58.57/9.13 | | |
% 58.57/9.13 | | | REDUCE: (7), (64) imply:
% 58.57/9.13 | | | (69) ~ (e22 = e20)
% 58.57/9.13 | | |
% 58.57/9.13 | | | SIMP: (69) implies:
% 58.57/9.13 | | | (70) ~ (e22 = e20)
% 58.57/9.13 | | |
% 58.57/9.13 | | | BETA: splitting (25) gives:
% 58.57/9.13 | | |
% 58.57/9.13 | | | Case 1:
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | (71) all_18_14 = e23
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | COMBINE_EQS: (30), (71) imply:
% 58.57/9.13 | | | | (72) all_14_11 = e23
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | SIMP: (72) implies:
% 58.57/9.13 | | | | (73) all_14_11 = e23
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | COMBINE_EQS: (34), (73) imply:
% 58.57/9.13 | | | | (74) all_22_8 = e23
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | COMBINE_EQS: (15), (73) imply:
% 58.57/9.13 | | | | (75) all_26_14 = e23
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | REDUCE: (40), (73) imply:
% 58.57/9.13 | | | | (76) ~ (all_14_3 = e23)
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | REDUCE: (33), (73) imply:
% 58.57/9.13 | | | | (77) ~ (all_14_8 = e23)
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | REDUCE: (56), (73) imply:
% 58.57/9.13 | | | | (78) ~ (e23 = e21)
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | BETA: splitting (36) gives:
% 58.57/9.13 | | | |
% 58.57/9.13 | | | | Case 1:
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | (79) all_26_1 = e21
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | COMBINE_EQS: (41), (79) imply:
% 58.57/9.13 | | | | | (80) all_8_2 = e21
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | SIMP: (80) implies:
% 58.57/9.13 | | | | | (81) all_8_2 = e21
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | COMBINE_EQS: (16), (81) imply:
% 58.57/9.13 | | | | | (82) all_22_3 = e21
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | REDUCE: (3), (81) imply:
% 58.57/9.13 | | | | | (83) ~ (all_14_12 = e21)
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | REDUCE: (68), (81) imply:
% 58.57/9.13 | | | | | (84) ~ (e21 = e20)
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | BETA: splitting (48) gives:
% 58.57/9.13 | | | | |
% 58.57/9.13 | | | | | Case 1:
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | (85) all_18_12 = e23
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | COMBINE_EQS: (38), (85) imply:
% 58.57/9.13 | | | | | | (86) all_14_3 = e23
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | SIMP: (86) implies:
% 58.57/9.13 | | | | | | (87) all_14_3 = e23
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | REDUCE: (76), (87) imply:
% 58.57/9.13 | | | | | | (88) $false
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | CLOSE: (88) is inconsistent.
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | Case 2:
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | (89) all_18_12 = e21 | all_18_12 = e20
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | BETA: splitting (46) gives:
% 58.57/9.13 | | | | | |
% 58.57/9.13 | | | | | | Case 1:
% 58.57/9.13 | | | | | | |
% 58.57/9.13 | | | | | | | (90) all_18_3 = e23
% 58.57/9.13 | | | | | | |
% 58.57/9.13 | | | | | | | COMBINE_EQS: (5), (90) imply:
% 58.57/9.13 | | | | | | | (91) all_14_12 = e23
% 58.57/9.13 | | | | | | |
% 58.57/9.13 | | | | | | | SIMP: (91) implies:
% 58.57/9.13 | | | | | | | (92) all_14_12 = e23
% 58.57/9.13 | | | | | | |
% 58.57/9.13 | | | | | | | COMBINE_EQS: (24), (92) imply:
% 58.57/9.13 | | | | | | | (93) all_22_9 = e23
% 58.57/9.13 | | | | | | |
% 58.57/9.13 | | | | | | | BETA: splitting (9) gives:
% 58.57/9.13 | | | | | | |
% 58.57/9.13 | | | | | | | Case 1:
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | (94) all_18_8 = e23
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | COMBINE_EQS: (21), (94) imply:
% 58.57/9.13 | | | | | | | | (95) all_14_2 = e23
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | COMBINE_EQS: (47), (95) imply:
% 58.57/9.13 | | | | | | | | (96) all_22_1 = e23
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | REDUCE: (49), (95) imply:
% 58.57/9.13 | | | | | | | | (97) ~ (all_14_3 = e23)
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | REDUCE: (66), (95) imply:
% 58.57/9.13 | | | | | | | | (98) ~ (e23 = e20)
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | BETA: splitting (26) gives:
% 58.57/9.13 | | | | | | | |
% 58.57/9.13 | | | | | | | | Case 1:
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | (99) all_26_12 = e21
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | COMBINE_EQS: (4), (99) imply:
% 58.57/9.13 | | | | | | | | | (100) all_14_3 = e21
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | SIMP: (100) implies:
% 58.57/9.13 | | | | | | | | | (101) all_14_3 = e21
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | COMBINE_EQS: (17), (101) imply:
% 58.57/9.13 | | | | | | | | | (102) all_22_2 = e21
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | REDUCE: (76), (101) imply:
% 58.57/9.13 | | | | | | | | | (103) ~ (e23 = e21)
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | BETA: splitting (22) gives:
% 58.57/9.13 | | | | | | | | |
% 58.57/9.13 | | | | | | | | | Case 1:
% 58.57/9.13 | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | (104) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.57/9.13 | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.57/9.13 | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.57/9.13 | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.57/9.13 | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 58.57/9.13 | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.57/9.13 | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.57/9.13 | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.57/9.13 | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.57/9.13 | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | REF_CLOSE: (18), (50), (65), (70), (78), (82), (84), (96),
% 58.57/9.13 | | | | | | | | | | (102), (104) are inconsistent by sub-proof #37.
% 58.57/9.13 | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | Case 2:
% 58.57/9.13 | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | (105) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.57/9.13 | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.57/9.13 | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.57/9.13 | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.57/9.13 | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 58.57/9.13 | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.57/9.13 | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.57/9.13 | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.57/9.13 | | | | | | | | | | (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.57/9.13 | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.13 | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.57/9.13 | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | BETA: splitting (105) gives:
% 58.57/9.13 | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | Case 1:
% 58.57/9.13 | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | (106) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.57/9.13 | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.13 | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.13 | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.57/9.13 | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.57/9.13 | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.13 | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.57/9.13 | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.57/9.13 | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.13 | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.13 | | | | | | | | | | | (all_22_12 = e21)))
% 58.57/9.13 | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | BETA: splitting (106) gives:
% 58.57/9.13 | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | Case 1:
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | (107) all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_15 = e21))
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | REF_CLOSE: (19), (77), (107) are inconsistent by sub-proof
% 58.57/9.13 | | | | | | | | | | | | #81.
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | Case 2:
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | (108) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.57/9.13 | | | | | | | | | | | | (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | BETA: splitting (108) gives:
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | Case 1:
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | (109) all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.57/9.13 | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.13 | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.57/9.13 | | | | | | | | | | | | | (all_22_15 = e21))
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | ALPHA: (109) implies:
% 58.57/9.13 | | | | | | | | | | | | | (110) ~ (all_22_14 = e21)
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | REDUCE: (52), (110) imply:
% 58.57/9.13 | | | | | | | | | | | | | (111) $false
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | Case 2:
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | (112) all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.57/9.13 | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.57/9.13 | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.57/9.13 | | | | | | | | | | | | | (all_22_12 = e21))
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | ALPHA: (112) implies:
% 58.57/9.13 | | | | | | | | | | | | | (113) all_22_8 = e20
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | COMBINE_EQS: (74), (113) imply:
% 58.57/9.13 | | | | | | | | | | | | | (114) e23 = e20
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | SIMP: (114) implies:
% 58.57/9.13 | | | | | | | | | | | | | (115) e23 = e20
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | COMBINE_EQS: (93), (115) imply:
% 58.57/9.13 | | | | | | | | | | | | | (116) all_22_9 = e20
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | | REF_CLOSE: (1), (13), (18), (19), (22), (42), (50), (52),
% 58.57/9.13 | | | | | | | | | | | | | (55), (58), (70), (77), (78), (82), (84), (96),
% 58.57/9.13 | | | | | | | | | | | | | (98), (102), (116) are inconsistent by sub-proof
% 58.57/9.13 | | | | | | | | | | | | | #31.
% 58.57/9.13 | | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | | End of split
% 58.57/9.13 | | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | | End of split
% 58.57/9.13 | | | | | | | | | | |
% 58.57/9.13 | | | | | | | | | | Case 2:
% 58.57/9.13 | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | (117) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.57/9.14 | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.57/9.14 | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.57/9.14 | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 58.57/9.14 | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.14 | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.14 | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.57/9.14 | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.57/9.14 | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.14 | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 58.57/9.14 | | | | | | | | | | | ~ (all_22_12 = e20)))
% 58.57/9.14 | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | BETA: splitting (117) gives:
% 58.57/9.14 | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | Case 1:
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | (118) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_14 = e20))
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | ALPHA: (118) implies:
% 58.57/9.14 | | | | | | | | | | | | (119) ~ (all_22_15 = e20)
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | REDUCE: (20), (119) imply:
% 58.57/9.14 | | | | | | | | | | | | (120) $false
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | (121) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.57/9.14 | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.57/9.14 | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | BETA: splitting (121) gives:
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | Case 1:
% 58.57/9.14 | | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | | (122) all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.57/9.14 | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.14 | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.57/9.14 | | | | | | | | | | | | | (all_22_14 = e20))
% 58.57/9.14 | | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | | REF_CLOSE: (1), (58), (122) are inconsistent by sub-proof
% 58.57/9.14 | | | | | | | | | | | | | #97.
% 58.57/9.14 | | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | | (123) all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.57/9.14 | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.57/9.14 | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 58.57/9.14 | | | | | | | | | | | | | (all_22_12 = e20))
% 58.57/9.14 | | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | | REF_CLOSE: (42), (58), (123) are inconsistent by sub-proof
% 58.57/9.14 | | | | | | | | | | | | | #33.
% 58.57/9.14 | | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | | End of split
% 58.57/9.14 | | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | | End of split
% 58.57/9.14 | | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | End of split
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | End of split
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | (124) all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | REF_CLOSE: (37), (44), (58), (75), (78), (84), (124) are
% 58.57/9.14 | | | | | | | | | inconsistent by sub-proof #76.
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | End of split
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | (125) all_18_8 = e21 | all_18_8 = e20
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | REF_CLOSE: (21), (54), (66), (125) are inconsistent by sub-proof
% 58.57/9.14 | | | | | | | | #45.
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | End of split
% 58.57/9.14 | | | | | | |
% 58.57/9.14 | | | | | | Case 2:
% 58.57/9.14 | | | | | | |
% 58.57/9.14 | | | | | | | (126) all_18_3 = e21 | all_18_3 = e20
% 58.57/9.14 | | | | | | |
% 58.57/9.14 | | | | | | | BETA: splitting (9) gives:
% 58.57/9.14 | | | | | | |
% 58.57/9.14 | | | | | | | Case 1:
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | (127) all_18_8 = e23
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | COMBINE_EQS: (21), (127) imply:
% 58.57/9.14 | | | | | | | | (128) all_14_2 = e23
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | COMBINE_EQS: (47), (128) imply:
% 58.57/9.14 | | | | | | | | (129) all_22_1 = e23
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | REDUCE: (49), (128) imply:
% 58.57/9.14 | | | | | | | | (130) ~ (all_14_3 = e23)
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | REDUCE: (66), (128) imply:
% 58.57/9.14 | | | | | | | | (131) ~ (e23 = e20)
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | BETA: splitting (89) gives:
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | Case 1:
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | (132) all_18_12 = e21
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | COMBINE_EQS: (38), (132) imply:
% 58.57/9.14 | | | | | | | | | (133) all_14_3 = e21
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | COMBINE_EQS: (17), (133) imply:
% 58.57/9.14 | | | | | | | | | (134) all_22_2 = e21
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | REDUCE: (76), (133) imply:
% 58.57/9.14 | | | | | | | | | (135) ~ (e23 = e21)
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | BETA: splitting (126) gives:
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | Case 1:
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | (136) all_18_3 = e21
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | COMBINE_EQS: (5), (136) imply:
% 58.57/9.14 | | | | | | | | | | (137) all_14_12 = e21
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | REDUCE: (83), (137) imply:
% 58.57/9.14 | | | | | | | | | | (138) $false
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | CLOSE: (138) is inconsistent.
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | (139) all_18_3 = e20
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | COMBINE_EQS: (5), (139) imply:
% 58.57/9.14 | | | | | | | | | | (140) all_14_12 = e20
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | COMBINE_EQS: (24), (140) imply:
% 58.57/9.14 | | | | | | | | | | (141) all_22_9 = e20
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | | REF_CLOSE: (1), (13), (18), (19), (22), (42), (50), (52),
% 58.57/9.14 | | | | | | | | | | (55), (58), (70), (77), (78), (82), (84), (129),
% 58.57/9.14 | | | | | | | | | | (131), (134), (141) are inconsistent by sub-proof
% 58.57/9.14 | | | | | | | | | | #31.
% 58.57/9.14 | | | | | | | | | |
% 58.57/9.14 | | | | | | | | | End of split
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | (142) all_18_12 = e20
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | COMBINE_EQS: (38), (142) imply:
% 58.57/9.14 | | | | | | | | | (143) all_14_3 = e20
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | REDUCE: (29), (143) imply:
% 58.57/9.14 | | | | | | | | | (144) $false
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | | CLOSE: (144) is inconsistent.
% 58.57/9.14 | | | | | | | | |
% 58.57/9.14 | | | | | | | | End of split
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | Case 2:
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | (145) all_18_8 = e21 | all_18_8 = e20
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | | REF_CLOSE: (21), (54), (66), (145) are inconsistent by sub-proof
% 58.57/9.14 | | | | | | | | #45.
% 58.57/9.14 | | | | | | | |
% 58.57/9.14 | | | | | | | End of split
% 58.57/9.14 | | | | | | |
% 58.57/9.14 | | | | | | End of split
% 58.57/9.14 | | | | | |
% 58.57/9.14 | | | | | End of split
% 58.57/9.14 | | | | |
% 58.57/9.14 | | | | Case 2:
% 58.57/9.14 | | | | |
% 58.57/9.14 | | | | | (146) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.57/9.14 | | | | |
% 58.57/9.14 | | | | | REF_CLOSE: (8), (37), (43), (55), (58), (78), (146) are inconsistent
% 58.57/9.14 | | | | | by sub-proof #30.
% 58.57/9.14 | | | | |
% 58.57/9.14 | | | | End of split
% 58.57/9.14 | | | |
% 58.57/9.14 | | | Case 2:
% 58.57/9.14 | | | |
% 58.57/9.14 | | | | (147) all_18_14 = e21 | all_18_14 = e20
% 58.57/9.14 | | | |
% 58.57/9.14 | | | | REF_CLOSE: (28), (30), (56), (147) are inconsistent by sub-proof #75.
% 58.57/9.14 | | | |
% 58.57/9.14 | | | End of split
% 58.57/9.14 | | |
% 58.57/9.14 | | End of split
% 58.57/9.14 | |
% 58.57/9.14 | End of split
% 58.81/9.14 |
% 58.81/9.14 End of proof
% 58.81/9.14
% 58.81/9.14 Sub-proof #30 shows that the following formulas are inconsistent:
% 58.81/9.14 ----------------------------------------------------------------
% 58.81/9.14 (1) all_26_7 = all_14_6
% 58.81/9.14 (2) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.81/9.14 (3) ~ (e22 = e21)
% 58.81/9.14 (4) ~ (e23 = e21)
% 58.81/9.14 (5) all_26_13 = e22
% 58.81/9.14 (6) all_26_3 = e23
% 58.81/9.14 (7) ~ (all_14_6 = e21)
% 58.81/9.14
% 58.81/9.14 Begin of proof
% 58.81/9.14 |
% 58.81/9.14 | BETA: splitting (2) gives:
% 58.81/9.14 |
% 58.81/9.14 | Case 1:
% 58.81/9.14 | |
% 58.81/9.14 | | (8) all_26_3 = e21
% 58.81/9.14 | |
% 58.81/9.14 | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #41.
% 58.81/9.14 | |
% 58.81/9.14 | Case 2:
% 58.81/9.14 | |
% 58.81/9.14 | | (9) all_26_7 = e21 | all_26_13 = e21
% 58.81/9.14 | |
% 58.81/9.14 | | BETA: splitting (9) gives:
% 58.81/9.14 | |
% 58.81/9.14 | | Case 1:
% 58.81/9.14 | | |
% 58.81/9.14 | | | (10) all_26_7 = e21
% 58.81/9.14 | | |
% 58.81/9.14 | | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #40.
% 58.81/9.14 | | |
% 58.81/9.14 | | Case 2:
% 58.81/9.14 | | |
% 58.81/9.14 | | | (11) all_26_13 = e21
% 58.81/9.14 | | |
% 58.81/9.14 | | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #78.
% 58.81/9.14 | | |
% 58.81/9.14 | | End of split
% 58.81/9.14 | |
% 58.81/9.14 | End of split
% 58.81/9.14 |
% 58.81/9.14 End of proof
% 58.81/9.14
% 58.81/9.14 Sub-proof #31 shows that the following formulas are inconsistent:
% 58.81/9.14 ----------------------------------------------------------------
% 58.81/9.14 (1) all_22_11 = e21
% 58.81/9.14 (2) ~ (all_14_8 = e23)
% 58.81/9.14 (3) all_22_2 = e21
% 58.81/9.14 (4) all_22_14 = e21
% 58.81/9.14 (5) ~ (e21 = e20)
% 58.81/9.14 (6) ~ (e22 = e21)
% 58.81/9.14 (7) ~ (e23 = e21)
% 58.81/9.14 (8) all_22_4 = all_14_6
% 58.81/9.14 (9) all_22_9 = e20
% 58.81/9.14 (10) all_22_3 = e21
% 58.81/9.14 (11) all_22_1 = e23
% 58.81/9.14 (12) ~ (e22 = e20)
% 58.81/9.14 (13) all_22_0 = e20
% 58.81/9.14 (14) all_22_6 = all_14_8
% 58.81/9.14 (15) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.81/9.14 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.81/9.14 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.81/9.14 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.81/9.14 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.81/9.14 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.81/9.14 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.81/9.14 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.81/9.14 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.81/9.14 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.81/9.14 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.81/9.14 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.81/9.14 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.81/9.14 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 58.81/9.14 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.81/9.14 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.81/9.14 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.81/9.14 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.81/9.14 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.81/9.14 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.81/9.14 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.81/9.14 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.81/9.14 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.81/9.14 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.81/9.14 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.81/9.14 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.81/9.14 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.81/9.14 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.81/9.14 (16) ~ (e23 = e20)
% 58.81/9.14 (17) all_22_13 = e22
% 58.81/9.14 (18) all_22_5 = e22
% 58.81/9.14 (19) ~ (all_14_6 = e21)
% 58.81/9.14
% 58.81/9.14 Begin of proof
% 58.81/9.14 |
% 58.81/9.14 | BETA: splitting (15) gives:
% 58.81/9.14 |
% 58.81/9.14 | Case 1:
% 58.81/9.14 | |
% 58.81/9.14 | | (20) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.81/9.14 | | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20)
% 58.81/9.14 | | | ~ (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 =
% 58.81/9.14 | | e23) & ~ (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.81/9.14 | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~ (all_22_15 =
% 58.81/9.14 | | e23))) | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.81/9.14 | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 58.81/9.14 | | ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) | (all_22_3 = e23 &
% 58.81/9.14 | | ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~ (all_22_4 = e21)
% 58.81/9.14 | | | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15 =
% 58.81/9.14 | | e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.81/9.14 | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 58.81/9.14 | | ( ~ (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 &
% 58.81/9.14 | | ~ (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23)
% 58.81/9.14 | | | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 =
% 58.81/9.14 | | e22)))
% 58.81/9.14 | |
% 58.81/9.14 | | REF_CLOSE: (3), (5), (7), (8), (10), (11), (12), (13), (18), (19), (20) are
% 58.81/9.14 | | inconsistent by sub-proof #35.
% 58.81/9.14 | |
% 58.81/9.14 | Case 2:
% 58.81/9.14 | |
% 58.81/9.14 | | (21) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.81/9.14 | | (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20)
% 58.81/9.14 | | | ~ (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 =
% 58.81/9.14 | | e21) & ~ (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.81/9.14 | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~ (all_22_15 =
% 58.81/9.14 | | e21))) | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.81/9.14 | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) &
% 58.81/9.14 | | ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) | (all_22_9 = e23 &
% 58.81/9.14 | | ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_11 = e22)
% 58.81/9.14 | | | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~ (all_22_14
% 58.81/9.14 | | = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.81/9.14 | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 58.81/9.14 | | ( ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21
% 58.81/9.14 | | & ~ (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 =
% 58.81/9.14 | | e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 58.81/9.14 | | (all_22_12 = e20)))
% 58.81/9.14 | |
% 58.81/9.14 | | BETA: splitting (21) gives:
% 58.81/9.14 | |
% 58.81/9.14 | | Case 1:
% 58.81/9.14 | | |
% 58.81/9.14 | | | (22) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & (
% 58.81/9.14 | | | ~ (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 =
% 58.81/9.14 | | | e20) | ~ (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.81/9.14 | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~ (all_22_6 = e23)
% 58.81/9.14 | | | | ~ (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~ (all_22_15
% 58.81/9.14 | | | = e21))) | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.81/9.14 | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21))
% 58.81/9.14 | | | & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 58.81/9.14 | | |
% 58.81/9.14 | | | BETA: splitting (22) gives:
% 58.81/9.14 | | |
% 58.81/9.14 | | | Case 1:
% 58.81/9.14 | | | |
% 58.81/9.14 | | | | (23) all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & (
% 58.81/9.14 | | | | ~ (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 =
% 58.81/9.14 | | | | e20) | ~ (all_22_15 = e21))
% 58.81/9.14 | | | |
% 58.81/9.14 | | | | REF_CLOSE: (2), (14), (23) are inconsistent by sub-proof #81.
% 58.81/9.14 | | | |
% 58.81/9.14 | | | Case 2:
% 58.81/9.14 | | | |
% 58.81/9.15 | | | | (24) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) &
% 58.81/9.15 | | | | ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 =
% 58.81/9.15 | | | | e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.81/9.15 | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 =
% 58.81/9.15 | | | | e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.81/9.15 | | | | (all_22_12 = e21)))
% 58.81/9.15 | | | |
% 58.81/9.15 | | | | REF_CLOSE: (4), (24) are inconsistent by sub-proof #100.
% 58.81/9.15 | | | |
% 58.81/9.15 | | | End of split
% 58.81/9.15 | | |
% 58.81/9.15 | | Case 2:
% 58.81/9.15 | | |
% 58.81/9.15 | | | (25) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & (
% 58.81/9.15 | | | ~ (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 =
% 58.81/9.15 | | | e21) | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 58.81/9.15 | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23)
% 58.81/9.15 | | | | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.81/9.15 | | | (all_22_14 = e20))) | (all_22_13 = e21 & ~ (all_22_14 = e20)
% 58.81/9.15 | | | & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 =
% 58.81/9.15 | | | e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.81/9.15 | | |
% 58.81/9.15 | | | REF_CLOSE: (1), (6), (9), (16), (17), (25) are inconsistent by sub-proof
% 58.81/9.15 | | | #32.
% 58.81/9.15 | | |
% 58.81/9.15 | | End of split
% 58.81/9.15 | |
% 58.81/9.15 | End of split
% 58.81/9.15 |
% 58.81/9.15 End of proof
% 58.81/9.15
% 58.81/9.15 Sub-proof #32 shows that the following formulas are inconsistent:
% 58.81/9.15 ----------------------------------------------------------------
% 58.81/9.15 (1) all_22_11 = e21
% 58.81/9.15 (2) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.81/9.15 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.81/9.15 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.81/9.15 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.81/9.15 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.81/9.15 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.81/9.15 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.81/9.15 (3) ~ (e22 = e21)
% 58.81/9.15 (4) all_22_9 = e20
% 58.81/9.15 (5) ~ (e23 = e20)
% 58.81/9.15 (6) all_22_13 = e22
% 58.81/9.15
% 58.81/9.15 Begin of proof
% 58.81/9.15 |
% 58.81/9.15 | BETA: splitting (2) gives:
% 58.81/9.15 |
% 58.81/9.15 | Case 1:
% 58.81/9.15 | |
% 58.81/9.15 | | (7) all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.81/9.15 | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.81/9.15 | | ~ (all_22_14 = e20))
% 58.81/9.15 | |
% 58.81/9.15 | | ALPHA: (7) implies:
% 58.81/9.15 | | (8) all_22_9 = e23
% 58.81/9.15 | |
% 58.81/9.15 | | COMBINE_EQS: (4), (8) imply:
% 58.81/9.15 | | (9) e23 = e20
% 58.81/9.15 | |
% 58.81/9.15 | | REDUCE: (5), (9) imply:
% 58.81/9.15 | | (10) $false
% 58.81/9.15 | |
% 58.81/9.15 | | CLOSE: (10) is inconsistent.
% 58.81/9.15 | |
% 58.81/9.15 | Case 2:
% 58.81/9.15 | |
% 58.81/9.15 | | (11) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.81/9.15 | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21)
% 58.81/9.15 | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~ (all_22_14 =
% 58.81/9.15 | | e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.81/9.15 | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 =
% 58.81/9.15 | | e20)))
% 58.81/9.15 | |
% 58.81/9.15 | | BETA: splitting (11) gives:
% 58.81/9.15 | |
% 58.81/9.15 | | Case 1:
% 58.81/9.15 | | |
% 58.81/9.15 | | | (12) all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & (
% 58.81/9.15 | | | ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 =
% 58.81/9.15 | | | e21) | ~ (all_22_14 = e20))
% 58.81/9.15 | | |
% 58.81/9.15 | | | REF_CLOSE: (1), (3), (12) are inconsistent by sub-proof #34.
% 58.81/9.15 | | |
% 58.81/9.15 | | Case 2:
% 58.81/9.15 | | |
% 58.81/9.15 | | | (13) all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 = e20) & (
% 58.81/9.15 | | | ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_11 =
% 58.81/9.15 | | | e22) | ~ (all_22_12 = e20))
% 58.81/9.15 | | |
% 58.81/9.15 | | | REF_CLOSE: (3), (6), (13) are inconsistent by sub-proof #33.
% 58.81/9.15 | | |
% 58.81/9.15 | | End of split
% 58.81/9.15 | |
% 58.81/9.15 | End of split
% 58.81/9.15 |
% 58.81/9.15 End of proof
% 58.81/9.15
% 58.81/9.15 Sub-proof #33 shows that the following formulas are inconsistent:
% 58.81/9.15 ----------------------------------------------------------------
% 58.81/9.15 (1) all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.81/9.15 (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 58.81/9.15 (all_22_12 = e20))
% 58.81/9.15 (2) all_22_13 = e22
% 58.81/9.15 (3) ~ (e22 = e21)
% 58.81/9.15
% 58.81/9.15 Begin of proof
% 58.81/9.15 |
% 58.81/9.15 | ALPHA: (1) implies:
% 58.81/9.15 | (4) all_22_13 = e21
% 58.81/9.15 |
% 58.81/9.15 | COMBINE_EQS: (2), (4) imply:
% 58.81/9.15 | (5) e22 = e21
% 58.81/9.15 |
% 58.81/9.15 | REDUCE: (3), (5) imply:
% 58.81/9.15 | (6) $false
% 58.81/9.15 |
% 58.81/9.15 | CLOSE: (6) is inconsistent.
% 58.81/9.15 |
% 58.81/9.15 End of proof
% 58.81/9.15
% 58.81/9.15 Sub-proof #34 shows that the following formulas are inconsistent:
% 58.81/9.15 ----------------------------------------------------------------
% 58.81/9.15 (1) all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.81/9.15 (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.81/9.15 (all_22_14 = e20))
% 58.81/9.15 (2) all_22_11 = e21
% 58.81/9.15 (3) ~ (e22 = e21)
% 58.81/9.15
% 58.81/9.15 Begin of proof
% 58.81/9.15 |
% 58.81/9.15 | ALPHA: (1) implies:
% 58.81/9.15 | (4) all_22_11 = e22
% 58.81/9.15 |
% 58.81/9.15 | COMBINE_EQS: (2), (4) imply:
% 58.81/9.15 | (5) e22 = e21
% 58.81/9.15 |
% 58.81/9.15 | SIMP: (5) implies:
% 58.81/9.15 | (6) e22 = e21
% 58.81/9.15 |
% 58.81/9.15 | REDUCE: (3), (6) imply:
% 58.86/9.15 | (7) $false
% 58.86/9.15 |
% 58.86/9.15 | CLOSE: (7) is inconsistent.
% 58.86/9.15 |
% 58.86/9.15 End of proof
% 58.86/9.15
% 58.86/9.15 Sub-proof #35 shows that the following formulas are inconsistent:
% 58.86/9.15 ----------------------------------------------------------------
% 58.86/9.15 (1) all_22_2 = e21
% 58.86/9.15 (2) ~ (e21 = e20)
% 58.86/9.15 (3) ~ (e23 = e21)
% 58.86/9.15 (4) all_22_4 = all_14_6
% 58.86/9.15 (5) all_22_3 = e21
% 58.86/9.15 (6) all_22_1 = e23
% 58.86/9.15 (7) ~ (e22 = e20)
% 58.86/9.15 (8) all_22_0 = e20
% 58.86/9.15 (9) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.15 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.15 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.86/9.15 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.15 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.86/9.15 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.15 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.86/9.15 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.15 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.15 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.15 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.15 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.15 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.15 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.15 (10) all_22_5 = e22
% 58.86/9.15 (11) ~ (all_14_6 = e21)
% 58.86/9.15
% 58.86/9.15 Begin of proof
% 58.86/9.15 |
% 58.86/9.15 | BETA: splitting (9) gives:
% 58.86/9.15 |
% 58.86/9.15 | Case 1:
% 58.86/9.15 | |
% 58.86/9.15 | | (12) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.15 | | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20)
% 58.86/9.15 | | | ~ (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 =
% 58.86/9.15 | | e23) & ~ (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.15 | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~ (all_22_15 =
% 58.86/9.15 | | e23))) | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.86/9.15 | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 58.86/9.15 | | ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 58.86/9.15 | |
% 58.86/9.15 | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (12) are inconsistent by sub-proof
% 58.86/9.15 | | #38.
% 58.86/9.15 | |
% 58.86/9.15 | Case 2:
% 58.86/9.15 | |
% 58.86/9.15 | | (13) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.15 | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20)
% 58.86/9.15 | | | ~ (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 =
% 58.86/9.15 | | e22) & ~ (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.15 | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15 =
% 58.86/9.15 | | e22))) | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 58.86/9.15 | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 58.86/9.15 | | ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.15 | |
% 58.86/9.15 | | BETA: splitting (13) gives:
% 58.86/9.15 | |
% 58.86/9.15 | | Case 1:
% 58.86/9.15 | | |
% 58.86/9.15 | | | (14) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.15 | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20)
% 58.86/9.15 | | | | ~ (all_22_15 = e22))
% 58.86/9.15 | | |
% 58.86/9.15 | | | REF_CLOSE: (3), (5), (14) are inconsistent by sub-proof #36.
% 58.86/9.15 | | |
% 58.86/9.15 | | Case 2:
% 58.86/9.15 | | |
% 58.86/9.15 | | | (15) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & (
% 58.86/9.15 | | | ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 =
% 58.86/9.15 | | | e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.15 | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23)
% 58.86/9.15 | | | | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14
% 58.86/9.15 | | | = e22)))
% 58.86/9.15 | | |
% 58.86/9.15 | | | BETA: splitting (15) gives:
% 58.86/9.15 | | |
% 58.86/9.15 | | | Case 1:
% 58.86/9.15 | | | |
% 58.86/9.15 | | | | (16) all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & (
% 58.86/9.15 | | | | ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 =
% 58.86/9.15 | | | | e20) | ~ (all_22_15 = e22))
% 58.86/9.15 | | | |
% 58.86/9.15 | | | | REF_CLOSE: (4), (11), (16) are inconsistent by sub-proof #83.
% 58.86/9.15 | | | |
% 58.86/9.15 | | | Case 2:
% 58.86/9.15 | | | |
% 58.86/9.15 | | | | (17) all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 = e22) & (
% 58.86/9.15 | | | | ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_4 =
% 58.86/9.15 | | | | e21) | ~ (all_22_14 = e22))
% 58.86/9.15 | | | |
% 58.86/9.15 | | | | REF_CLOSE: (7), (10), (17) are inconsistent by sub-proof #82.
% 58.86/9.15 | | | |
% 58.86/9.15 | | | End of split
% 58.86/9.15 | | |
% 58.86/9.15 | | End of split
% 58.86/9.15 | |
% 58.86/9.15 | End of split
% 58.86/9.15 |
% 58.86/9.15 End of proof
% 58.86/9.15
% 58.86/9.15 Sub-proof #36 shows that the following formulas are inconsistent:
% 58.86/9.15 ----------------------------------------------------------------
% 58.86/9.15 (1) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.15 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.15 (all_22_15 = e22))
% 58.86/9.15 (2) all_22_3 = e21
% 58.86/9.15 (3) ~ (e23 = e21)
% 58.86/9.15
% 58.86/9.15 Begin of proof
% 58.86/9.15 |
% 58.86/9.15 | ALPHA: (1) implies:
% 58.86/9.15 | (4) all_22_3 = e23
% 58.86/9.15 |
% 58.86/9.15 | COMBINE_EQS: (2), (4) imply:
% 58.86/9.15 | (5) e23 = e21
% 58.86/9.15 |
% 58.86/9.15 | SIMP: (5) implies:
% 58.86/9.15 | (6) e23 = e21
% 58.86/9.15 |
% 58.86/9.15 | REDUCE: (3), (6) imply:
% 58.86/9.15 | (7) $false
% 58.86/9.15 |
% 58.86/9.15 | CLOSE: (7) is inconsistent.
% 58.86/9.15 |
% 58.86/9.15 End of proof
% 58.86/9.15
% 58.86/9.15 Sub-proof #37 shows that the following formulas are inconsistent:
% 58.86/9.15 ----------------------------------------------------------------
% 58.86/9.15 (1) all_22_2 = e21
% 58.86/9.15 (2) ~ (e21 = e20)
% 58.86/9.15 (3) ~ (e23 = e21)
% 58.86/9.15 (4) all_22_3 = e21
% 58.86/9.15 (5) all_22_1 = e23
% 58.86/9.15 (6) ~ (e22 = e20)
% 58.86/9.15 (7) all_22_0 = e20
% 58.86/9.15 (8) all_22_4 = e20
% 58.86/9.16 (9) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.16 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.16 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.86/9.16 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.16 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.86/9.16 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.16 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.86/9.16 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.16 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.16 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.16 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.16 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.16 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.16 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.16 (10) all_22_5 = e22
% 58.86/9.16
% 58.86/9.16 Begin of proof
% 58.86/9.16 |
% 58.86/9.16 | BETA: splitting (9) gives:
% 58.86/9.16 |
% 58.86/9.16 | Case 1:
% 58.86/9.16 | |
% 58.86/9.16 | | (11) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.16 | | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20)
% 58.86/9.16 | | | ~ (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 =
% 58.86/9.16 | | e23) & ~ (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.16 | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~ (all_22_15 =
% 58.86/9.16 | | e23))) | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.86/9.16 | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 58.86/9.16 | | ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 58.86/9.16 | |
% 58.86/9.16 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (11) are inconsistent by sub-proof
% 58.86/9.16 | | #38.
% 58.86/9.16 | |
% 58.86/9.16 | Case 2:
% 58.86/9.16 | |
% 58.86/9.16 | | (12) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.16 | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20)
% 58.86/9.16 | | | ~ (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 =
% 58.86/9.16 | | e22) & ~ (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.16 | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15 =
% 58.86/9.16 | | e22))) | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 58.86/9.16 | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 58.86/9.16 | | ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.16 | |
% 58.86/9.16 | | BETA: splitting (12) gives:
% 58.86/9.16 | |
% 58.86/9.16 | | Case 1:
% 58.86/9.16 | | |
% 58.86/9.16 | | | (13) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.16 | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20)
% 58.86/9.16 | | | | ~ (all_22_15 = e22))
% 58.86/9.16 | | |
% 58.86/9.16 | | | REF_CLOSE: (3), (4), (13) are inconsistent by sub-proof #84.
% 58.86/9.16 | | |
% 58.86/9.16 | | Case 2:
% 58.86/9.16 | | |
% 58.86/9.16 | | | (14) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & (
% 58.86/9.16 | | | ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 =
% 58.86/9.16 | | | e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.16 | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23)
% 58.86/9.16 | | | | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14
% 58.86/9.16 | | | = e22)))
% 58.86/9.16 | | |
% 58.86/9.16 | | | BETA: splitting (14) gives:
% 58.86/9.16 | | |
% 58.86/9.16 | | | Case 1:
% 58.86/9.16 | | | |
% 58.86/9.16 | | | | (15) all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & (
% 58.86/9.16 | | | | ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 =
% 58.86/9.16 | | | | e20) | ~ (all_22_15 = e22))
% 58.86/9.16 | | | |
% 58.86/9.16 | | | | REF_CLOSE: (2), (8), (15) are inconsistent by sub-proof #70.
% 58.86/9.16 | | | |
% 58.86/9.16 | | | Case 2:
% 58.86/9.16 | | | |
% 58.86/9.16 | | | | (16) all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 = e22) & (
% 58.86/9.16 | | | | ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_4 =
% 58.86/9.16 | | | | e21) | ~ (all_22_14 = e22))
% 58.86/9.16 | | | |
% 58.86/9.16 | | | | REF_CLOSE: (6), (10), (16) are inconsistent by sub-proof #82.
% 58.86/9.16 | | | |
% 58.86/9.16 | | | End of split
% 58.86/9.16 | | |
% 58.86/9.16 | | End of split
% 58.86/9.16 | |
% 58.86/9.16 | End of split
% 58.86/9.16 |
% 58.86/9.16 End of proof
% 58.86/9.16
% 58.86/9.16 Sub-proof #38 shows that the following formulas are inconsistent:
% 58.86/9.16 ----------------------------------------------------------------
% 58.86/9.16 (1) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.16 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.16 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.86/9.16 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.16 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.86/9.16 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.16 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 58.86/9.16 (2) all_22_2 = e21
% 58.86/9.16 (3) ~ (e21 = e20)
% 58.86/9.16 (4) ~ (e23 = e21)
% 58.86/9.16 (5) all_22_1 = e23
% 58.86/9.16 (6) ~ (e22 = e20)
% 58.86/9.16 (7) all_22_0 = e20
% 58.86/9.16
% 58.86/9.16 Begin of proof
% 58.86/9.16 |
% 58.86/9.16 | BETA: splitting (1) gives:
% 58.86/9.16 |
% 58.86/9.16 | Case 1:
% 58.86/9.16 | |
% 58.86/9.16 | | (8) all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.16 | | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) |
% 58.86/9.16 | | ~ (all_22_15 = e23))
% 58.86/9.16 | |
% 58.86/9.16 | | REF_CLOSE: (6), (7), (8) are inconsistent by sub-proof #106.
% 58.86/9.16 | |
% 58.86/9.16 | Case 2:
% 58.86/9.16 | |
% 58.86/9.16 | | (9) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.86/9.16 | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) |
% 58.86/9.16 | | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~ (all_22_10 = e23) &
% 58.86/9.16 | | ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23))
% 58.86/9.16 | | & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 58.86/9.16 | |
% 58.86/9.16 | | BETA: splitting (9) gives:
% 58.86/9.16 | |
% 58.86/9.16 | | Case 1:
% 58.86/9.16 | | |
% 58.86/9.16 | | | (10) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.86/9.16 | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20)
% 58.86/9.16 | | | | ~ (all_22_15 = e23))
% 58.86/9.16 | | |
% 58.86/9.16 | | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #53.
% 58.86/9.16 | | |
% 58.86/9.16 | | Case 2:
% 58.86/9.16 | | |
% 58.86/9.16 | | | (11) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 58.86/9.16 | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21)
% 58.86/9.16 | | | | ~ (all_22_14 = e23))
% 58.86/9.16 | | |
% 58.86/9.16 | | | REF_CLOSE: (2), (3), (11) are inconsistent by sub-proof #85.
% 58.86/9.16 | | |
% 58.86/9.16 | | End of split
% 58.86/9.16 | |
% 58.86/9.16 | End of split
% 58.86/9.16 |
% 58.86/9.16 End of proof
% 58.86/9.16
% 58.86/9.16 Sub-proof #39 shows that the following formulas are inconsistent:
% 58.86/9.16 ----------------------------------------------------------------
% 58.86/9.16 (1) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.86/9.16 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 58.86/9.16 all_22_13 = e21)
% 58.86/9.16 (2) all_22_15 = e22
% 58.86/9.16 (3) ~ (e22 = e20)
% 58.86/9.16
% 58.86/9.16 Begin of proof
% 58.86/9.16 |
% 58.86/9.16 | ALPHA: (1) implies:
% 58.86/9.16 | (4) all_22_15 = e20
% 58.86/9.16 |
% 58.86/9.16 | COMBINE_EQS: (2), (4) imply:
% 58.86/9.16 | (5) e22 = e20
% 58.86/9.16 |
% 58.86/9.16 | SIMP: (5) implies:
% 58.86/9.16 | (6) e22 = e20
% 58.86/9.16 |
% 58.86/9.16 | REDUCE: (3), (6) imply:
% 58.86/9.16 | (7) $false
% 58.86/9.16 |
% 58.86/9.16 | CLOSE: (7) is inconsistent.
% 58.86/9.16 |
% 58.86/9.16 End of proof
% 58.86/9.16
% 58.86/9.16 Sub-proof #40 shows that the following formulas are inconsistent:
% 58.86/9.16 ----------------------------------------------------------------
% 58.86/9.16 (1) all_26_7 = all_14_6
% 58.86/9.16 (2) all_26_7 = e21
% 58.86/9.16 (3) ~ (all_14_6 = e21)
% 58.86/9.16
% 58.86/9.16 Begin of proof
% 58.86/9.16 |
% 58.86/9.16 | COMBINE_EQS: (1), (2) imply:
% 58.86/9.16 | (4) all_14_6 = e21
% 58.86/9.16 |
% 58.86/9.16 | SIMP: (4) implies:
% 58.86/9.16 | (5) all_14_6 = e21
% 58.86/9.16 |
% 58.86/9.16 | REDUCE: (3), (5) imply:
% 58.86/9.16 | (6) $false
% 58.86/9.16 |
% 58.86/9.16 | CLOSE: (6) is inconsistent.
% 58.86/9.16 |
% 58.86/9.16 End of proof
% 58.86/9.16
% 58.86/9.16 Sub-proof #41 shows that the following formulas are inconsistent:
% 58.86/9.16 ----------------------------------------------------------------
% 58.86/9.16 (1) all_26_3 = e23
% 58.86/9.16 (2) all_26_3 = e21
% 58.86/9.16 (3) ~ (e23 = e21)
% 58.86/9.16
% 58.86/9.16 Begin of proof
% 58.86/9.16 |
% 58.86/9.16 | COMBINE_EQS: (1), (2) imply:
% 58.86/9.16 | (4) e23 = e21
% 58.86/9.16 |
% 58.86/9.16 | SIMP: (4) implies:
% 58.86/9.16 | (5) e23 = e21
% 58.86/9.16 |
% 58.86/9.16 | REDUCE: (3), (5) imply:
% 58.86/9.16 | (6) $false
% 58.86/9.16 |
% 58.86/9.16 | CLOSE: (6) is inconsistent.
% 58.86/9.16 |
% 58.86/9.16 End of proof
% 58.86/9.16
% 58.86/9.16 Sub-proof #42 shows that the following formulas are inconsistent:
% 58.86/9.16 ----------------------------------------------------------------
% 58.86/9.16 (1) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.86/9.16 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.86/9.16 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 58.86/9.16 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.86/9.16 (all_22_15 = e22) | all_22_5 = e20))
% 58.86/9.16 (2) ~ (e22 = e20)
% 58.86/9.16 (3) all_22_0 = e20
% 58.86/9.16 (4) ~ (e23 = e22)
% 58.86/9.16 (5) all_22_12 = e23
% 58.86/9.16
% 58.86/9.16 Begin of proof
% 58.86/9.16 |
% 58.86/9.16 | BETA: splitting (1) gives:
% 58.86/9.16 |
% 58.86/9.16 | Case 1:
% 58.86/9.16 | |
% 58.86/9.16 | | (6) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.86/9.16 | | (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.86/9.16 | | all_22_2 = e20)
% 58.86/9.16 | |
% 58.86/9.16 | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #109.
% 58.86/9.16 | |
% 58.86/9.16 | Case 2:
% 58.86/9.16 | |
% 58.86/9.16 | | (7) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 58.86/9.16 | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ (all_22_15 = e22) |
% 58.86/9.16 | | all_22_5 = e20)
% 58.86/9.16 | |
% 58.86/9.16 | | ALPHA: (7) implies:
% 58.86/9.16 | | (8) all_22_12 = e22
% 58.86/9.16 | |
% 58.86/9.16 | | COMBINE_EQS: (5), (8) imply:
% 58.86/9.16 | | (9) e23 = e22
% 58.86/9.16 | |
% 58.86/9.16 | | REDUCE: (4), (9) imply:
% 58.86/9.16 | | (10) $false
% 58.86/9.16 | |
% 58.86/9.16 | | CLOSE: (10) is inconsistent.
% 58.86/9.16 | |
% 58.86/9.16 | End of split
% 58.86/9.16 |
% 58.86/9.16 End of proof
% 58.86/9.16
% 58.86/9.16 Sub-proof #43 shows that the following formulas are inconsistent:
% 58.86/9.16 ----------------------------------------------------------------
% 58.86/9.16 (1) all_22_11 = e21
% 58.86/9.16 (2) ~ (all_14_8 = all_8_1)
% 58.86/9.16 (3) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 58.86/9.16 (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 58.86/9.16 (4) ~ (all_14_7 = e23)
% 58.86/9.16 (5) ~ (all_14_2 = all_14_6)
% 58.86/9.16 (6) all_18_3 = all_14_12
% 58.86/9.16 (7) ~ (all_14_14 = all_4_1)
% 58.86/9.16 (8) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 58.86/9.16 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.86/9.16 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 58.86/9.16 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.86/9.16 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 58.86/9.16 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 58.86/9.16 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 58.86/9.16 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.86/9.16 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 58.86/9.16 all_22_13 = e21))
% 58.86/9.16 (9) all_26_7 = all_14_6
% 58.86/9.16 (10) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 58.86/9.16 (11) ~ (all_14_14 = e21)
% 58.86/9.16 (12) ~ (all_8_1 = e20)
% 58.86/9.16 (13) all_26_10 = e21
% 58.86/9.16 (14) all_18_15 = all_10_1
% 58.86/9.16 (15) all_22_13 = all_14_14
% 58.86/9.16 (16) ~ (all_14_12 = all_10_1)
% 58.86/9.16 (17) ~ (e21 = e20)
% 58.86/9.16 (18) ~ (all_14_2 = e20)
% 58.86/9.16 (19) ~ (all_14_7 = all_10_1)
% 58.86/9.16 (20) ~ (all_8_1 = e22)
% 58.86/9.16 (21) ~ (all_14_6 = all_4_1)
% 58.86/9.16 (22) ~ (e22 = e21)
% 58.86/9.16 (23) all_22_15 = all_10_1
% 58.86/9.16 (24) ~ (all_14_8 = all_4_1)
% 58.86/9.16 (25) all_22_4 = all_14_6
% 58.86/9.16 (26) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 58.86/9.16 (27) ~ (all_14_2 = all_4_1)
% 58.86/9.16 (28) all_18_0 = all_8_1
% 58.86/9.16 (29) all_26_14 = all_14_11
% 58.86/9.16 (30) ~ (all_14_7 = all_14_11)
% 58.86/9.17 (31) ~ (all_14_12 = e22)
% 58.86/9.17 (32) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 58.86/9.17 (33) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 58.86/9.17 (34) all_26_4 = all_14_8
% 58.86/9.17 (35) ~ (all_14_6 = all_14_14)
% 58.86/9.17 (36) ~ (all_14_12 = all_8_1)
% 58.86/9.17 (37) ~ (all_14_4 = all_8_1)
% 58.86/9.17 (38) ~ (all_14_8 = e22)
% 58.86/9.17 (39) ~ (e22 = e20)
% 58.86/9.17 (40) all_22_0 = e20
% 58.86/9.17 (41) all_22_6 = all_14_8
% 58.86/9.17 (42) all_26_12 = e22
% 58.86/9.17 (43) all_22_3 = all_14_4
% 58.86/9.17 (44) all_18_8 = all_14_2
% 58.86/9.17 (45) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 58.86/9.17 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.17 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 58.86/9.17 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.17 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 58.86/9.17 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.17 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 58.86/9.17 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.17 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.17 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.17 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.17 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.17 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.17 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 58.86/9.17 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.17 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.86/9.17 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.86/9.17 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.86/9.17 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.86/9.17 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.86/9.17 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.86/9.17 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.17 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.17 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.86/9.17 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.17 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.86/9.17 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.86/9.17 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.17 (46) all_22_9 = all_14_12
% 58.86/9.17 (47) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 58.86/9.17 (48) ~ (all_14_8 = all_14_12)
% 58.86/9.17 (49) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 | all_18_0 = e20
% 58.86/9.17 (50) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 58.86/9.17 (51) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 58.86/9.17 (52) all_26_8 = all_4_1
% 58.86/9.17 (53) all_26_0 = e22 | all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 58.86/9.17 (54) ~ (all_14_4 = all_14_8)
% 58.86/9.17 (55) ~ (all_10_1 = e22)
% 58.86/9.17 (56) all_22_14 = all_4_1
% 58.86/9.17 (57) ~ (all_10_1 = e21)
% 58.86/9.17 (58) ~ (all_14_4 = all_14_7)
% 58.86/9.17 (59) all_26_9 = all_14_12
% 58.86/9.17 (60) all_22_8 = all_14_11
% 58.86/9.17 (61) ~ (all_14_11 = all_4_1)
% 58.86/9.17 (62) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23
% 58.86/9.17 (63) ~ (e23 = e20)
% 58.86/9.17 (64) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20
% 58.86/9.17 (65) ~ (all_14_6 = all_14_7)
% 58.86/9.17 (66) all_26_11 = all_14_14
% 58.86/9.17 (67) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 58.86/9.17 (68) all_26_3 = e23
% 58.86/9.17 (69) all_22_5 = all_14_7
% 58.86/9.17 (70) all_26_5 = e22
% 58.86/9.17 (71) all_26_1 = all_14_4
% 58.86/9.17 (72) all_18_10 = all_4_1
% 58.86/9.17 (73) all_18_3 = e23 | all_18_3 = e21 | all_18_3 = e20
% 58.86/9.17 (74) ~ (all_14_2 = all_14_14)
% 58.86/9.17 (75) ~ (all_14_12 = e21)
% 58.86/9.17 (76) all_22_1 = all_14_2
% 58.86/9.17 (77) ~ (all_14_14 = all_10_1)
% 58.86/9.17 (78) ~ (all_14_11 = all_10_1)
% 58.86/9.17 (79) all_22_2 = e22
% 58.86/9.17 (80) all_26_6 = all_14_2
% 58.86/9.17 (81) all_26_0 = all_8_1
% 58.86/9.17 (82) ~ (all_14_4 = e23)
% 58.86/9.17 (83) all_26_15 = all_10_1
% 58.86/9.17 (84) all_26_13 = all_14_7
% 58.86/9.17 (85) ~ (all_14_2 = all_8_1)
% 58.86/9.17 (86) all_22_12 = e23
% 58.86/9.17
% 58.86/9.17 Begin of proof
% 58.86/9.17 |
% 58.86/9.17 | BETA: splitting (51) gives:
% 58.86/9.17 |
% 58.86/9.17 | Case 1:
% 58.86/9.17 | |
% 58.86/9.17 | | (87) all_26_9 = e22
% 58.86/9.17 | |
% 58.86/9.17 | | REF_CLOSE: (31), (59), (87) are inconsistent by sub-proof #56.
% 58.86/9.17 | |
% 58.86/9.17 | Case 2:
% 58.86/9.17 | |
% 58.86/9.17 | | (88) ~ (all_26_9 = e22)
% 58.86/9.17 | | (89) all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22
% 58.86/9.17 | |
% 58.86/9.17 | | BETA: splitting (89) gives:
% 58.86/9.17 | |
% 58.86/9.17 | | Case 1:
% 58.86/9.17 | | |
% 58.86/9.17 | | | (90) all_26_10 = e22
% 58.86/9.17 | | |
% 58.86/9.17 | | | COMBINE_EQS: (13), (90) imply:
% 58.86/9.17 | | | (91) e22 = e21
% 58.86/9.17 | | |
% 58.86/9.17 | | | REDUCE: (22), (91) imply:
% 58.86/9.17 | | | (92) $false
% 58.86/9.17 | | |
% 58.86/9.17 | | | CLOSE: (92) is inconsistent.
% 58.86/9.17 | | |
% 58.86/9.17 | | Case 2:
% 58.86/9.17 | | |
% 58.86/9.17 | | | (93) all_26_11 = e22 | all_26_15 = e22
% 58.86/9.17 | | |
% 58.86/9.17 | | | BETA: splitting (53) gives:
% 58.86/9.17 | | |
% 58.86/9.17 | | | Case 1:
% 58.86/9.17 | | | |
% 58.86/9.17 | | | | (94) all_26_0 = e22
% 58.86/9.17 | | | |
% 58.86/9.17 | | | | REF_CLOSE: (20), (81), (94) are inconsistent by sub-proof #55.
% 58.86/9.17 | | | |
% 58.86/9.17 | | | Case 2:
% 58.86/9.17 | | | |
% 58.86/9.17 | | | | (95) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 58.86/9.17 | | | |
% 58.86/9.17 | | | | BETA: splitting (95) gives:
% 58.86/9.17 | | | |
% 58.86/9.17 | | | | Case 1:
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | (96) all_26_1 = e22
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | COMBINE_EQS: (71), (96) imply:
% 58.86/9.17 | | | | | (97) all_14_4 = e22
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | COMBINE_EQS: (43), (97) imply:
% 58.86/9.17 | | | | | (98) all_22_3 = e22
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | REDUCE: (58), (97) imply:
% 58.86/9.17 | | | | | (99) ~ (all_14_7 = e22)
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | SIMP: (99) implies:
% 58.86/9.17 | | | | | (100) ~ (all_14_7 = e22)
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | REDUCE: (54), (97) imply:
% 58.86/9.17 | | | | | (101) ~ (all_14_8 = e22)
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | REDUCE: (37), (97) imply:
% 58.86/9.17 | | | | | (102) ~ (all_8_1 = e22)
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | REDUCE: (82), (97) imply:
% 58.86/9.17 | | | | | (103) ~ (e23 = e22)
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | SIMP: (103) implies:
% 58.86/9.17 | | | | | (104) ~ (e23 = e22)
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | BETA: splitting (93) gives:
% 58.86/9.17 | | | | |
% 58.86/9.17 | | | | | Case 1:
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | (105) all_26_11 = e22
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | COMBINE_EQS: (66), (105) imply:
% 58.86/9.17 | | | | | | (106) all_14_14 = e22
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | SIMP: (106) implies:
% 58.86/9.17 | | | | | | (107) all_14_14 = e22
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | COMBINE_EQS: (15), (107) imply:
% 58.86/9.17 | | | | | | (108) all_22_13 = e22
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | REDUCE: (74), (107) imply:
% 58.86/9.17 | | | | | | (109) ~ (all_14_2 = e22)
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | REDUCE: (35), (107) imply:
% 58.86/9.17 | | | | | | (110) ~ (all_14_6 = e22)
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | REDUCE: (77), (107) imply:
% 58.86/9.17 | | | | | | (111) ~ (all_10_1 = e22)
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | REDUCE: (7), (107) imply:
% 58.86/9.17 | | | | | | (112) ~ (all_4_1 = e22)
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | SIMP: (112) implies:
% 58.86/9.17 | | | | | | (113) ~ (all_4_1 = e22)
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | BETA: splitting (49) gives:
% 58.86/9.17 | | | | | |
% 58.86/9.17 | | | | | | Case 1:
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | (114) all_18_0 = e22
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | COMBINE_EQS: (28), (114) imply:
% 58.86/9.17 | | | | | | | (115) all_8_1 = e22
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | SIMP: (115) implies:
% 58.86/9.17 | | | | | | | (116) all_8_1 = e22
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | REDUCE: (20), (116) imply:
% 58.86/9.17 | | | | | | | (117) $false
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | CLOSE: (117) is inconsistent.
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | Case 2:
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | (118) all_18_0 = e23 | all_18_0 = e21 | all_18_0 = e20
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | BETA: splitting (67) gives:
% 58.86/9.17 | | | | | | |
% 58.86/9.17 | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | (119) all_18_15 = e22
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | COMBINE_EQS: (14), (119) imply:
% 58.86/9.17 | | | | | | | | (120) all_10_1 = e22
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | REDUCE: (55), (120) imply:
% 58.86/9.17 | | | | | | | | (121) $false
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | CLOSE: (121) is inconsistent.
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | Case 2:
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | (122) ~ (all_18_15 = e22)
% 58.86/9.17 | | | | | | | | (123) all_18_15 = e23 | all_18_15 = e21 | all_18_15 = e20
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | BETA: splitting (10) gives:
% 58.86/9.17 | | | | | | | |
% 58.86/9.17 | | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | (124) all_18_8 = e22
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | COMBINE_EQS: (44), (124) imply:
% 58.86/9.17 | | | | | | | | | (125) all_14_2 = e22
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | REDUCE: (109), (125) imply:
% 58.86/9.17 | | | | | | | | | (126) $false
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | CLOSE: (126) is inconsistent.
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | Case 2:
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | (127) ~ (all_18_8 = e22)
% 58.86/9.17 | | | | | | | | | (128) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | BETA: splitting (3) gives:
% 58.86/9.17 | | | | | | | | |
% 58.86/9.17 | | | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | (129) all_26_15 = e20
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | COMBINE_EQS: (83), (129) imply:
% 58.86/9.17 | | | | | | | | | | (130) all_10_1 = e20
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | SIMP: (130) implies:
% 58.86/9.17 | | | | | | | | | | (131) all_10_1 = e20
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | COMBINE_EQS: (23), (131) imply:
% 58.86/9.17 | | | | | | | | | | (132) all_22_15 = e20
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | REDUCE: (19), (131) imply:
% 58.86/9.17 | | | | | | | | | | (133) ~ (all_14_7 = e20)
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | REDUCE: (78), (131) imply:
% 58.86/9.17 | | | | | | | | | | (134) ~ (all_14_11 = e20)
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | REDUCE: (16), (131) imply:
% 58.86/9.17 | | | | | | | | | | (135) ~ (all_14_12 = e20)
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | REDUCE: (55), (131) imply:
% 58.86/9.17 | | | | | | | | | | (136) ~ (e22 = e20)
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | BETA: splitting (64) gives:
% 58.86/9.17 | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | (137) all_26_1 = e20
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | COMBINE_EQS: (96), (137) imply:
% 58.86/9.17 | | | | | | | | | | | (138) e22 = e20
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | SIMP: (138) implies:
% 58.86/9.17 | | | | | | | | | | | (139) e22 = e20
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | REDUCE: (39), (139) imply:
% 58.86/9.17 | | | | | | | | | | | (140) $false
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | Case 2:
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | (141) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | BETA: splitting (26) gives:
% 58.86/9.17 | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | (142) all_26_12 = e23
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | COMBINE_EQS: (42), (142) imply:
% 58.86/9.17 | | | | | | | | | | | | (143) e23 = e22
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | REDUCE: (104), (143) imply:
% 58.86/9.17 | | | | | | | | | | | | (144) $false
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | CLOSE: (144) is inconsistent.
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | Case 2:
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | (145) all_26_13 = e23 | all_26_14 = e23 | all_26_15 =
% 58.86/9.17 | | | | | | | | | | | | e23
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | BETA: splitting (145) gives:
% 58.86/9.17 | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | (146) all_26_13 = e23
% 58.86/9.17 | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | REF_CLOSE: (4), (84), (146) are inconsistent by sub-proof
% 58.86/9.17 | | | | | | | | | | | | | #54.
% 58.86/9.17 | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | Case 2:
% 58.86/9.17 | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | (147) all_26_14 = e23 | all_26_15 = e23
% 58.86/9.17 | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | BETA: splitting (147) gives:
% 58.86/9.17 | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | Case 1:
% 58.86/9.17 | | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | | (148) all_26_14 = e23
% 58.86/9.17 | | | | | | | | | | | | | |
% 58.86/9.17 | | | | | | | | | | | | | | COMBINE_EQS: (29), (148) imply:
% 58.86/9.18 | | | | | | | | | | | | | | (149) all_14_11 = e23
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | SIMP: (149) implies:
% 58.86/9.18 | | | | | | | | | | | | | | (150) all_14_11 = e23
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | COMBINE_EQS: (60), (150) imply:
% 58.86/9.18 | | | | | | | | | | | | | | (151) all_22_8 = e23
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | REDUCE: (61), (150) imply:
% 58.86/9.18 | | | | | | | | | | | | | | (152) ~ (all_4_1 = e23)
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | SIMP: (152) implies:
% 58.86/9.18 | | | | | | | | | | | | | | (153) ~ (all_4_1 = e23)
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | (154) all_18_3 = e23
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | COMBINE_EQS: (6), (154) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | (155) all_14_12 = e23
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | SIMP: (155) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | (156) all_14_12 = e23
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | REDUCE: (48), (156) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | (157) ~ (all_14_8 = e23)
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | REDUCE: (36), (156) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | (158) ~ (all_8_1 = e23)
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | SIMP: (158) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | (159) ~ (all_8_1 = e23)
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | (160) all_18_0 = e23
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (160) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | (161) all_8_1 = e23
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | SIMP: (161) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | (162) all_8_1 = e23
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | REDUCE: (159), (162) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | (163) $false
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | (164) all_18_0 = e21 | all_18_0 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | (165) all_26_12 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (165) are inconsistent by sub-proof
% 58.86/9.18 | | | | | | | | | | | | | | | | | #101.
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | (166) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 58.86/9.18 | | | | | | | | | | | | | | | | | e21
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | (167) all_26_3 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (167) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | (168) e23 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | SIMP: (168) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | (169) e23 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | REDUCE: (63), (169) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | (170) $false
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | (171) all_26_7 = e20 | all_26_13 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (172) all_26_7 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (172) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (173) all_14_6 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (173) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (174) all_22_4 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | REDUCE: (65), (173) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (175) ~ (all_14_7 = e20)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | REDUCE: (21), (173) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (176) ~ (all_4_1 = e20)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | SIMP: (176) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (177) ~ (all_4_1 = e20)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | (178) all_26_6 = e23
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (178) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | (179) all_14_2 = e23
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (179) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | (180) all_22_1 = e23
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (181) all_26_0 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (181) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (182) all_8_1 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (183) all_8_1 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (183) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (184) ~ (all_14_8 = e21)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (183) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (185) ~ (e23 = e21)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (186) ~ (e23 = e21)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (187) all_26_4 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (187) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (188) all_14_8 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (189) all_14_8 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (189) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (190) all_22_6 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (189) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (191) ~ (e23 = e20)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (189) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (192) ~ (e21 = e20)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | (193) all_26_13 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (193) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | (194) all_14_7 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (194) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | (195) all_14_7 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (195) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | (196) all_22_5 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (195) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | (197) ~ (e22 = e21)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (198) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (199) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (40), (79), (180), (186), (199) are
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (200) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (98), (104), (174), (196), (200) are
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (201) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (22), (50), (56), (63), (72), (108), (132),
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | (151), (153), (177), (190), (201) are inconsistent
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #47.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | (202) all_26_14 = e21 | all_26_15 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (129), (148), (186), (202) are inconsistent
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #77.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (203) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (39), (52), (70), (134), (177), (203) are
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (204) ~ (all_26_0 = e21)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (204) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | (205) ~ (all_8_1 = e21)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (206) all_18_0 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (206) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (207) all_8_1 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | SIMP: (207) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (208) all_8_1 = e21
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (208) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (209) $false
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (210) all_18_0 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (210) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (211) all_8_1 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (212) all_8_1 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (212) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | (213) $false
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | (214) ~ (all_26_6 = e23)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (214) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | (215) ~ (all_14_2 = e23)
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (27), (44), (50), (72), (128), (153), (177),
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | | (215) are inconsistent by sub-proof #93.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (216) all_26_13 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (216) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (217) all_14_7 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (218) all_14_7 = e20
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (218) imply:
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | (219) $false
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 58.86/9.18 | | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | (220) all_18_3 = e21 | all_18_3 = e20
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | | REF_CLOSE: (6), (75), (135), (220) are inconsistent by
% 58.86/9.18 | | | | | | | | | | | | | | | sub-proof #46.
% 58.86/9.18 | | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | (221) all_26_15 = e23
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | COMBINE_EQS: (129), (221) imply:
% 58.86/9.18 | | | | | | | | | | | | | | (222) e23 = e20
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | REDUCE: (63), (222) imply:
% 58.86/9.18 | | | | | | | | | | | | | | (223) $false
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 58.86/9.18 | | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | End of split
% 58.86/9.18 | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | Case 2:
% 58.86/9.18 | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | (224) ~ (all_26_15 = e20)
% 58.86/9.18 | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | REDUCE: (83), (224) imply:
% 58.86/9.18 | | | | | | | | | | (225) ~ (all_10_1 = e20)
% 58.86/9.18 | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | BETA: splitting (8) gives:
% 58.86/9.18 | | | | | | | | | |
% 58.86/9.18 | | | | | | | | | | Case 1:
% 58.86/9.18 | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | (226) (all_22_10 = e23 & ( ~ (all_22_12 = e23) |
% 58.86/9.19 | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) |
% 58.86/9.19 | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 58.86/9.19 | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~
% 58.86/9.19 | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 58.86/9.19 | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 58.86/9.19 | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 58.86/9.19 | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | REF_CLOSE: (39), (40), (86), (104), (226) are inconsistent by
% 58.86/9.19 | | | | | | | | | | | sub-proof #108.
% 58.86/9.19 | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | (227) (all_22_14 = e21 & ( ~ (all_22_10 = e21) |
% 58.86/9.19 | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 58.86/9.19 | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) |
% 58.86/9.19 | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~
% 58.86/9.19 | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 58.86/9.19 | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 58.86/9.19 | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 58.86/9.19 | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | BETA: splitting (227) gives:
% 58.86/9.19 | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | (228) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 58.86/9.19 | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 58.86/9.19 | | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | ALPHA: (228) implies:
% 58.86/9.19 | | | | | | | | | | | | (229) all_22_14 = e21
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | COMBINE_EQS: (56), (229) imply:
% 58.86/9.19 | | | | | | | | | | | | (230) all_4_1 = e21
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | SIMP: (230) implies:
% 58.86/9.19 | | | | | | | | | | | | (231) all_4_1 = e21
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | REDUCE: (27), (231) imply:
% 58.86/9.19 | | | | | | | | | | | | (232) ~ (all_14_2 = e21)
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | REDUCE: (61), (231) imply:
% 58.86/9.19 | | | | | | | | | | | | (233) ~ (all_14_11 = e21)
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | REDUCE: (113), (231) imply:
% 58.86/9.19 | | | | | | | | | | | | (234) ~ (e22 = e21)
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | BETA: splitting (128) gives:
% 58.86/9.19 | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | (235) all_18_8 = e23
% 58.86/9.19 | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | COMBINE_EQS: (44), (235) imply:
% 58.86/9.19 | | | | | | | | | | | | | (236) all_14_2 = e23
% 58.86/9.19 | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | COMBINE_EQS: (76), (236) imply:
% 58.86/9.19 | | | | | | | | | | | | | (237) all_22_1 = e23
% 58.86/9.19 | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | REDUCE: (232), (236) imply:
% 58.86/9.19 | | | | | | | | | | | | | (238) ~ (e23 = e21)
% 58.86/9.19 | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | BETA: splitting (47) gives:
% 58.86/9.19 | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | (239) all_26_12 = e21
% 58.86/9.19 | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | REF_CLOSE: (22), (42), (239) are inconsistent by sub-proof
% 58.86/9.19 | | | | | | | | | | | | | | #101.
% 58.86/9.19 | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | (240) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 58.86/9.19 | | | | | | | | | | | | | | e21
% 58.86/9.19 | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 58.86/9.19 | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | (241) all_26_13 = e21
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | COMBINE_EQS: (84), (241) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | (242) all_14_7 = e21
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | SIMP: (242) implies:
% 58.86/9.19 | | | | | | | | | | | | | | | (243) all_14_7 = e21
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | COMBINE_EQS: (69), (243) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | (244) all_22_5 = e21
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | REDUCE: (65), (243) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | (245) ~ (all_14_6 = e21)
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | REDUCE: (19), (243) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | (246) ~ (all_10_1 = e21)
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | REDUCE: (4), (243) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | (247) ~ (e23 = e21)
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | (248) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (249) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (40), (79), (237), (238), (249) are
% 58.86/9.19 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (250) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (251) all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (98), (104), (251) are inconsistent by sub-proof
% 58.86/9.19 | | | | | | | | | | | | | | | | | | #51.
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (252) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (253) all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (245), (253) are inconsistent by sub-proof
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | #83.
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (254) all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (all_22_14 = e22))
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (244), (254) are inconsistent by sub-proof
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | #50.
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | (255) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 58.86/9.19 | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.19 | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (256) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e21)))
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (229), (256) are inconsistent by sub-proof #99.
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (257) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | ~ (all_22_12 = e20)))
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (258) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (259) all_22_9 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (260) ~ (all_22_15 = e20)
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (259) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (261) all_14_12 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | SIMP: (261) implies:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (262) all_14_12 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | REDUCE: (16), (262) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (263) ~ (all_10_1 = e23)
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (264) ~ (all_10_1 = e23)
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (265) all_18_15 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (265) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (266) all_10_1 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (267) all_10_1 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | REDUCE: (264), (267) imply:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (268) $false
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | (269) all_18_15 = e21 | all_18_15 = e20
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (57), (225), (269) are inconsistent by
% 58.86/9.19 | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 58.86/9.19 | | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (270) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.19 | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (22), (108), (270) are inconsistent by
% 58.86/9.19 | | | | | | | | | | | | | | | | | | sub-proof #48.
% 58.86/9.19 | | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | End of split
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | Case 2:
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | (271) all_26_14 = e21 | all_26_15 = e21
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 58.86/9.19 | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | Case 1:
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | (272) all_18_15 = e23
% 58.86/9.19 | | | | | | | | | | | | | | | |
% 58.86/9.19 | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (272) imply:
% 58.86/9.20 | | | | | | | | | | | | | | | | (273) all_10_1 = e23
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | SIMP: (273) implies:
% 58.86/9.20 | | | | | | | | | | | | | | | | (274) all_10_1 = e23
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (274) imply:
% 58.86/9.20 | | | | | | | | | | | | | | | | (275) all_26_15 = e23
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | Case 1:
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | (276) all_26_14 = e21
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (276) imply:
% 58.86/9.20 | | | | | | | | | | | | | | | | | (277) all_14_11 = e21
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 58.86/9.20 | | | | | | | | | | | | | | | | | (278) all_14_11 = e21
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | REDUCE: (233), (278) imply:
% 58.86/9.20 | | | | | | | | | | | | | | | | | (279) $false
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | Case 2:
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | (280) all_26_15 = e21
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (280) imply:
% 58.86/9.20 | | | | | | | | | | | | | | | | | (281) e23 = e21
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 58.86/9.20 | | | | | | | | | | | | | | | | | (282) e23 = e21
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | REDUCE: (238), (282) imply:
% 58.86/9.20 | | | | | | | | | | | | | | | | | (283) $false
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 58.86/9.20 | | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | Case 2:
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | (284) all_18_15 = e21 | all_18_15 = e20
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | | REF_CLOSE: (14), (57), (225), (284) are inconsistent by
% 58.86/9.20 | | | | | | | | | | | | | | | | sub-proof #63.
% 58.86/9.20 | | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | Case 2:
% 58.86/9.20 | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | (285) all_18_8 = e21 | all_18_8 = e20
% 58.86/9.20 | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | | REF_CLOSE: (18), (44), (232), (285) are inconsistent by
% 58.86/9.20 | | | | | | | | | | | | | sub-proof #45.
% 58.86/9.20 | | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | Case 2:
% 58.86/9.20 | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | (286) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 58.86/9.20 | | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 58.86/9.20 | | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 58.86/9.20 | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | | REF_CLOSE: (23), (225), (286) are inconsistent by sub-proof
% 58.86/9.20 | | | | | | | | | | | | #90.
% 58.86/9.20 | | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | | |
% 58.86/9.20 | | | | | | | | | End of split
% 58.86/9.20 | | | | | | | | |
% 58.86/9.20 | | | | | | | | End of split
% 58.86/9.20 | | | | | | | |
% 58.86/9.20 | | | | | | | End of split
% 58.86/9.20 | | | | | | |
% 58.86/9.20 | | | | | | End of split
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | Case 2:
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | | (287) all_26_15 = e22
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | | REF_CLOSE: (55), (83), (287) are inconsistent by sub-proof #59.
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | End of split
% 58.86/9.20 | | | | |
% 58.86/9.20 | | | | Case 2:
% 58.86/9.20 | | | | |
% 58.86/9.20 | | | | | (288) all_26_4 = e22 | all_26_9 = e22
% 58.86/9.20 | | | | |
% 58.86/9.20 | | | | | BETA: splitting (288) gives:
% 58.86/9.20 | | | | |
% 58.86/9.20 | | | | | Case 1:
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | | (289) all_26_4 = e22
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | | REF_CLOSE: (34), (38), (289) are inconsistent by sub-proof #44.
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | Case 2:
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | | (290) all_26_9 = e22
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | | REF_CLOSE: (31), (59), (290) are inconsistent by sub-proof #56.
% 58.86/9.20 | | | | | |
% 58.86/9.20 | | | | | End of split
% 58.86/9.20 | | | | |
% 58.86/9.20 | | | | End of split
% 58.86/9.20 | | | |
% 58.86/9.20 | | | End of split
% 58.86/9.20 | | |
% 58.86/9.20 | | End of split
% 58.86/9.20 | |
% 58.86/9.20 | End of split
% 58.86/9.20 |
% 58.86/9.20 End of proof
% 58.86/9.20
% 58.86/9.20 Sub-proof #44 shows that the following formulas are inconsistent:
% 58.86/9.20 ----------------------------------------------------------------
% 58.86/9.20 (1) all_26_4 = all_14_8
% 58.86/9.20 (2) all_26_4 = e22
% 58.86/9.20 (3) ~ (all_14_8 = e22)
% 58.86/9.20
% 58.86/9.20 Begin of proof
% 58.86/9.20 |
% 58.86/9.20 | COMBINE_EQS: (1), (2) imply:
% 58.86/9.20 | (4) all_14_8 = e22
% 58.86/9.20 |
% 58.86/9.20 | SIMP: (4) implies:
% 58.86/9.20 | (5) all_14_8 = e22
% 58.86/9.20 |
% 58.86/9.20 | REDUCE: (3), (5) imply:
% 58.86/9.20 | (6) $false
% 58.86/9.20 |
% 58.86/9.20 | CLOSE: (6) is inconsistent.
% 58.86/9.20 |
% 58.86/9.20 End of proof
% 58.86/9.20
% 58.86/9.20 Sub-proof #45 shows that the following formulas are inconsistent:
% 58.86/9.20 ----------------------------------------------------------------
% 58.86/9.20 (1) all_18_8 = e21 | all_18_8 = e20
% 58.86/9.20 (2) all_18_8 = all_14_2
% 58.86/9.20 (3) ~ (all_14_2 = e21)
% 58.86/9.20 (4) ~ (all_14_2 = e20)
% 58.86/9.20
% 58.86/9.20 Begin of proof
% 58.86/9.20 |
% 58.86/9.20 | BETA: splitting (1) gives:
% 58.86/9.20 |
% 58.86/9.20 | Case 1:
% 58.86/9.20 | |
% 58.86/9.20 | | (5) all_18_8 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | COMBINE_EQS: (2), (5) imply:
% 58.86/9.20 | | (6) all_14_2 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | REDUCE: (3), (6) imply:
% 58.86/9.20 | | (7) $false
% 58.86/9.20 | |
% 58.86/9.20 | | CLOSE: (7) is inconsistent.
% 58.86/9.20 | |
% 58.86/9.20 | Case 2:
% 58.86/9.20 | |
% 58.86/9.20 | | (8) all_18_8 = e20
% 58.86/9.20 | |
% 58.86/9.20 | | COMBINE_EQS: (2), (8) imply:
% 58.86/9.20 | | (9) all_14_2 = e20
% 58.86/9.20 | |
% 58.86/9.20 | | REDUCE: (4), (9) imply:
% 58.86/9.20 | | (10) $false
% 58.86/9.20 | |
% 58.86/9.20 | | CLOSE: (10) is inconsistent.
% 58.86/9.20 | |
% 58.86/9.20 | End of split
% 58.86/9.20 |
% 58.86/9.20 End of proof
% 58.86/9.20
% 58.86/9.20 Sub-proof #46 shows that the following formulas are inconsistent:
% 58.86/9.20 ----------------------------------------------------------------
% 58.86/9.20 (1) all_18_3 = e21 | all_18_3 = e20
% 58.86/9.20 (2) all_18_3 = all_14_12
% 58.86/9.20 (3) ~ (all_14_12 = e21)
% 58.86/9.20 (4) ~ (all_14_12 = e20)
% 58.86/9.20
% 58.86/9.20 Begin of proof
% 58.86/9.20 |
% 58.86/9.20 | BETA: splitting (1) gives:
% 58.86/9.20 |
% 58.86/9.20 | Case 1:
% 58.86/9.20 | |
% 58.86/9.20 | | (5) all_18_3 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | COMBINE_EQS: (2), (5) imply:
% 58.86/9.20 | | (6) all_14_12 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | SIMP: (6) implies:
% 58.86/9.20 | | (7) all_14_12 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | REDUCE: (3), (7) imply:
% 58.86/9.20 | | (8) $false
% 58.86/9.20 | |
% 58.86/9.20 | | CLOSE: (8) is inconsistent.
% 58.86/9.20 | |
% 58.86/9.20 | Case 2:
% 58.86/9.20 | |
% 58.86/9.20 | | (9) all_18_3 = e20
% 58.86/9.20 | |
% 58.86/9.20 | | COMBINE_EQS: (2), (9) imply:
% 58.86/9.20 | | (10) all_14_12 = e20
% 58.86/9.20 | |
% 58.86/9.20 | | SIMP: (10) implies:
% 58.86/9.20 | | (11) all_14_12 = e20
% 58.86/9.20 | |
% 58.86/9.20 | | REDUCE: (4), (11) imply:
% 58.86/9.20 | | (12) $false
% 58.86/9.20 | |
% 58.86/9.20 | | CLOSE: (12) is inconsistent.
% 58.86/9.20 | |
% 58.86/9.20 | End of split
% 58.86/9.20 |
% 58.86/9.20 End of proof
% 58.86/9.20
% 58.86/9.20 Sub-proof #47 shows that the following formulas are inconsistent:
% 58.86/9.20 ----------------------------------------------------------------
% 58.86/9.20 (1) all_22_11 = e21
% 58.86/9.20 (2) ~ (e22 = e21)
% 58.86/9.20 (3) ~ (all_4_1 = e23)
% 58.86/9.20 (4) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.20 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 58.86/9.20 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 58.86/9.20 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 58.86/9.20 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.86/9.20 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.86/9.20 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 58.86/9.20 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.20 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.20 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 58.86/9.20 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.20 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.86/9.20 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 58.86/9.20 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.20 (5) all_22_15 = e20
% 58.86/9.20 (6) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 58.86/9.20 (7) all_22_14 = all_4_1
% 58.86/9.20 (8) ~ (e23 = e20)
% 58.86/9.20 (9) all_22_6 = e20
% 58.86/9.20 (10) ~ (all_4_1 = e20)
% 58.86/9.20 (11) all_22_13 = e22
% 58.86/9.20 (12) all_18_10 = all_4_1
% 58.86/9.20 (13) all_22_8 = e23
% 58.86/9.20
% 58.86/9.20 Begin of proof
% 58.86/9.20 |
% 58.86/9.20 | BETA: splitting (4) gives:
% 58.86/9.20 |
% 58.86/9.20 | Case 1:
% 58.86/9.20 | |
% 58.86/9.20 | | (14) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.20 | | (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20)
% 58.86/9.20 | | | ~ (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 =
% 58.86/9.20 | | e21) & ~ (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 58.86/9.20 | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~ (all_22_15 =
% 58.86/9.20 | | e21))) | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 58.86/9.20 | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) &
% 58.86/9.20 | | ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 58.86/9.20 | |
% 58.86/9.20 | | BETA: splitting (14) gives:
% 58.86/9.20 | |
% 58.86/9.20 | | Case 1:
% 58.86/9.20 | | |
% 58.86/9.20 | | | (15) all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 58.86/9.20 | | | (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20)
% 58.86/9.20 | | | | ~ (all_22_15 = e21))
% 58.86/9.20 | | |
% 58.86/9.20 | | | REF_CLOSE: (8), (9), (15) are inconsistent by sub-proof #69.
% 58.86/9.20 | | |
% 58.86/9.20 | | Case 2:
% 58.86/9.20 | | |
% 58.86/9.20 | | | (16) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & (
% 58.86/9.20 | | | ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 =
% 58.86/9.20 | | | e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 58.86/9.20 | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23)
% 58.86/9.20 | | | | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12
% 58.86/9.20 | | | = e21)))
% 58.86/9.20 | | |
% 58.86/9.20 | | | BETA: splitting (16) gives:
% 58.86/9.20 | | |
% 58.86/9.20 | | | Case 1:
% 58.86/9.20 | | | |
% 58.86/9.20 | | | | (17) all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & (
% 58.86/9.20 | | | | ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 =
% 58.86/9.20 | | | | e20) | ~ (all_22_15 = e21))
% 58.86/9.20 | | | |
% 58.86/9.20 | | | | ALPHA: (17) implies:
% 58.86/9.20 | | | | (18) ~ (all_22_14 = e21)
% 58.86/9.20 | | | |
% 58.86/9.20 | | | | REDUCE: (7), (18) imply:
% 58.86/9.20 | | | | (19) ~ (all_4_1 = e21)
% 58.86/9.20 | | | |
% 58.86/9.20 | | | | REF_CLOSE: (3), (6), (10), (12), (19) are inconsistent by sub-proof #94.
% 58.86/9.20 | | | |
% 58.86/9.20 | | | Case 2:
% 58.86/9.20 | | | |
% 58.86/9.20 | | | | (20) all_22_8 = e20 & ~ (all_22_14 = e21) & ~ (all_22_15 = e21) & (
% 58.86/9.20 | | | | ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_7 =
% 58.86/9.20 | | | | e22) | ~ (all_22_12 = e21))
% 58.86/9.20 | | | |
% 58.86/9.20 | | | | REF_CLOSE: (8), (13), (20) are inconsistent by sub-proof #80.
% 58.86/9.20 | | | |
% 58.86/9.20 | | | End of split
% 58.86/9.20 | | |
% 58.86/9.20 | | End of split
% 58.86/9.20 | |
% 58.86/9.20 | Case 2:
% 58.86/9.20 | |
% 58.86/9.20 | | (21) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.20 | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 =
% 58.86/9.20 | | e21) | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 58.86/9.20 | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) |
% 58.86/9.20 | | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~ (all_22_14 =
% 58.86/9.20 | | e20))) | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.86/9.20 | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 58.86/9.20 | | ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.20 | |
% 58.86/9.20 | | BETA: splitting (21) gives:
% 58.86/9.20 | |
% 58.86/9.20 | | Case 1:
% 58.86/9.20 | | |
% 58.86/9.20 | | | (22) all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.20 | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 =
% 58.86/9.20 | | | e21) | ~ (all_22_14 = e20))
% 58.86/9.20 | | |
% 58.86/9.20 | | | ALPHA: (22) implies:
% 58.86/9.20 | | | (23) ~ (all_22_15 = e20)
% 58.86/9.20 | | |
% 58.86/9.20 | | | REDUCE: (5), (23) imply:
% 58.86/9.20 | | | (24) $false
% 58.86/9.20 | | |
% 58.86/9.20 | | | CLOSE: (24) is inconsistent.
% 58.86/9.20 | | |
% 58.86/9.20 | | Case 2:
% 58.86/9.20 | | |
% 58.86/9.20 | | | (25) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & (
% 58.86/9.20 | | | ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 =
% 58.86/9.20 | | | e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 58.86/9.20 | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23)
% 58.86/9.20 | | | | ~ (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 58.86/9.20 | | | (all_22_12 = e20)))
% 58.86/9.20 | | |
% 58.86/9.20 | | | REF_CLOSE: (1), (2), (11), (25) are inconsistent by sub-proof #48.
% 58.86/9.20 | | |
% 58.86/9.20 | | End of split
% 58.86/9.20 | |
% 58.86/9.20 | End of split
% 58.86/9.20 |
% 58.86/9.20 End of proof
% 58.86/9.20
% 58.86/9.20 Sub-proof #48 shows that the following formulas are inconsistent:
% 58.86/9.20 ----------------------------------------------------------------
% 58.86/9.20 (1) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.20 (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 58.86/9.20 (all_22_14 = e20))) | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 58.86/9.20 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 58.86/9.20 (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 58.86/9.20 (2) all_22_11 = e21
% 58.86/9.20 (3) ~ (e22 = e21)
% 58.86/9.20 (4) all_22_13 = e22
% 58.86/9.20
% 58.86/9.20 Begin of proof
% 58.86/9.20 |
% 58.86/9.20 | BETA: splitting (1) gives:
% 58.86/9.20 |
% 58.86/9.20 | Case 1:
% 58.86/9.20 | |
% 58.86/9.20 | | (5) all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.20 | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 58.86/9.20 | | ~ (all_22_14 = e20))
% 58.86/9.20 | |
% 58.86/9.20 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #97.
% 58.86/9.20 | |
% 58.86/9.20 | Case 2:
% 58.86/9.20 | |
% 58.86/9.20 | | (6) all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 58.86/9.20 | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 58.86/9.20 | | ~ (all_22_12 = e20))
% 58.86/9.20 | |
% 58.86/9.20 | | ALPHA: (6) implies:
% 58.86/9.20 | | (7) all_22_13 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | COMBINE_EQS: (4), (7) imply:
% 58.86/9.20 | | (8) e22 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | SIMP: (8) implies:
% 58.86/9.20 | | (9) e22 = e21
% 58.86/9.20 | |
% 58.86/9.20 | | REDUCE: (3), (9) imply:
% 58.86/9.20 | | (10) $false
% 58.86/9.21 | |
% 58.86/9.21 | | CLOSE: (10) is inconsistent.
% 58.86/9.21 | |
% 58.86/9.21 | End of split
% 58.86/9.21 |
% 58.86/9.21 End of proof
% 58.86/9.21
% 58.86/9.21 Sub-proof #49 shows that the following formulas are inconsistent:
% 58.86/9.21 ----------------------------------------------------------------
% 58.86/9.21 (1) ~ (e21 = e20)
% 58.86/9.21 (2) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.21 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 58.86/9.21 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 58.86/9.21 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 58.86/9.21 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 58.86/9.21 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 58.86/9.21 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.21 (3) all_22_4 = e20
% 58.86/9.21 (4) ~ (e23 = e22)
% 58.86/9.21 (5) all_22_5 = e21
% 58.86/9.21 (6) all_22_3 = e22
% 58.86/9.21
% 58.86/9.21 Begin of proof
% 58.86/9.21 |
% 58.86/9.21 | BETA: splitting (2) gives:
% 58.86/9.21 |
% 58.86/9.21 | Case 1:
% 58.86/9.21 | |
% 58.86/9.21 | | (7) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 58.86/9.21 | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) |
% 58.86/9.21 | | ~ (all_22_15 = e22))
% 58.86/9.21 | |
% 58.86/9.21 | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #51.
% 58.86/9.21 | |
% 58.86/9.21 | Case 2:
% 58.86/9.21 | |
% 58.86/9.21 | | (8) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 58.86/9.21 | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 = e20) |
% 58.86/9.21 | | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~ (all_22_12 = e22) &
% 58.86/9.21 | | ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22))
% 58.86/9.21 | | & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 58.86/9.21 | |
% 58.86/9.21 | | BETA: splitting (8) gives:
% 58.86/9.21 | |
% 58.86/9.21 | | Case 1:
% 58.86/9.21 | | |
% 58.86/9.21 | | | (9) all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 58.86/9.21 | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 = e20) |
% 58.86/9.21 | | | ~ (all_22_15 = e22))
% 58.86/9.21 | | |
% 58.86/9.21 | | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #70.
% 58.86/9.21 | | |
% 58.86/9.21 | | Case 2:
% 58.86/9.21 | | |
% 58.86/9.21 | | | (10) all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.86/9.21 | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21)
% 58.86/9.21 | | | | ~ (all_22_14 = e22))
% 58.86/9.21 | | |
% 58.86/9.21 | | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #50.
% 58.86/9.21 | | |
% 58.86/9.21 | | End of split
% 58.86/9.21 | |
% 58.86/9.21 | End of split
% 58.86/9.21 |
% 58.86/9.21 End of proof
% 58.86/9.21
% 58.86/9.21 Sub-proof #50 shows that the following formulas are inconsistent:
% 58.86/9.21 ----------------------------------------------------------------
% 58.86/9.21 (1) all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 58.86/9.21 (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 58.86/9.21 (all_22_14 = e22))
% 58.86/9.21 (2) all_22_5 = e21
% 58.86/9.21 (3) ~ (e21 = e20)
% 58.86/9.21
% 58.86/9.21 Begin of proof
% 58.86/9.21 |
% 58.86/9.21 | ALPHA: (1) implies:
% 58.86/9.21 | (4) all_22_5 = e20
% 58.86/9.21 |
% 58.86/9.21 | COMBINE_EQS: (2), (4) imply:
% 58.86/9.21 | (5) e21 = e20
% 58.86/9.21 |
% 58.86/9.21 | SIMP: (5) implies:
% 58.86/9.21 | (6) e21 = e20
% 58.86/9.21 |
% 58.86/9.21 | REDUCE: (3), (6) imply:
% 58.86/9.21 | (7) $false
% 59.11/9.21 |
% 59.11/9.21 | CLOSE: (7) is inconsistent.
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #51 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.11/9.21 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.21 (all_22_15 = e22))
% 59.11/9.21 (2) all_22_3 = e22
% 59.11/9.21 (3) ~ (e23 = e22)
% 59.11/9.21
% 59.11/9.21 Begin of proof
% 59.11/9.21 |
% 59.11/9.21 | ALPHA: (1) implies:
% 59.11/9.21 | (4) all_22_3 = e23
% 59.11/9.21 |
% 59.11/9.21 | COMBINE_EQS: (2), (4) imply:
% 59.11/9.21 | (5) e23 = e22
% 59.11/9.21 |
% 59.11/9.21 | REDUCE: (3), (5) imply:
% 59.11/9.21 | (6) $false
% 59.11/9.21 |
% 59.11/9.21 | CLOSE: (6) is inconsistent.
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #52 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.11/9.21 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.21 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.11/9.21 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.11/9.21 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.11/9.21 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.21 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 59.11/9.21 (2) ~ (e23 = e21)
% 59.11/9.21 (3) all_22_1 = e23
% 59.11/9.21 (4) ~ (e22 = e20)
% 59.11/9.21 (5) all_22_0 = e20
% 59.11/9.21 (6) all_22_2 = e22
% 59.11/9.21
% 59.11/9.21 Begin of proof
% 59.11/9.21 |
% 59.11/9.21 | BETA: splitting (1) gives:
% 59.11/9.21 |
% 59.11/9.21 | Case 1:
% 59.11/9.21 | |
% 59.11/9.21 | | (7) all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.11/9.21 | | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) |
% 59.11/9.21 | | ~ (all_22_15 = e23))
% 59.11/9.21 | |
% 59.11/9.21 | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #106.
% 59.11/9.21 | |
% 59.11/9.21 | Case 2:
% 59.11/9.21 | |
% 59.11/9.21 | | (8) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.11/9.21 | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) |
% 59.11/9.21 | | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~ (all_22_10 = e23) &
% 59.11/9.21 | | ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23))
% 59.11/9.21 | | & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 59.11/9.21 | |
% 59.11/9.21 | | BETA: splitting (8) gives:
% 59.11/9.21 | |
% 59.11/9.21 | | Case 1:
% 59.11/9.21 | | |
% 59.11/9.21 | | | (9) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.11/9.21 | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) |
% 59.11/9.21 | | | ~ (all_22_15 = e23))
% 59.11/9.21 | | |
% 59.11/9.21 | | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #53.
% 59.11/9.21 | | |
% 59.11/9.21 | | Case 2:
% 59.11/9.21 | | |
% 59.11/9.21 | | | (10) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 59.11/9.21 | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21)
% 59.11/9.21 | | | | ~ (all_22_14 = e23))
% 59.11/9.21 | | |
% 59.11/9.21 | | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #104.
% 59.11/9.21 | | |
% 59.11/9.21 | | End of split
% 59.11/9.21 | |
% 59.11/9.21 | End of split
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #53 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.11/9.21 (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.21 (all_22_15 = e23))
% 59.11/9.21 (2) all_22_1 = e23
% 59.11/9.21 (3) ~ (e23 = e21)
% 59.11/9.21
% 59.11/9.21 Begin of proof
% 59.11/9.21 |
% 59.11/9.21 | ALPHA: (1) implies:
% 59.11/9.21 | (4) all_22_1 = e21
% 59.11/9.21 |
% 59.11/9.21 | COMBINE_EQS: (2), (4) imply:
% 59.11/9.21 | (5) e23 = e21
% 59.11/9.21 |
% 59.11/9.21 | SIMP: (5) implies:
% 59.11/9.21 | (6) e23 = e21
% 59.11/9.21 |
% 59.11/9.21 | REDUCE: (3), (6) imply:
% 59.11/9.21 | (7) $false
% 59.11/9.21 |
% 59.11/9.21 | CLOSE: (7) is inconsistent.
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #54 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) all_26_13 = all_14_7
% 59.11/9.21 (2) all_26_13 = e23
% 59.11/9.21 (3) ~ (all_14_7 = e23)
% 59.11/9.21
% 59.11/9.21 Begin of proof
% 59.11/9.21 |
% 59.11/9.21 | COMBINE_EQS: (1), (2) imply:
% 59.11/9.21 | (4) all_14_7 = e23
% 59.11/9.21 |
% 59.11/9.21 | SIMP: (4) implies:
% 59.11/9.21 | (5) all_14_7 = e23
% 59.11/9.21 |
% 59.11/9.21 | REDUCE: (3), (5) imply:
% 59.11/9.21 | (6) $false
% 59.11/9.21 |
% 59.11/9.21 | CLOSE: (6) is inconsistent.
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #55 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) all_26_0 = all_8_1
% 59.11/9.21 (2) all_26_0 = e22
% 59.11/9.21 (3) ~ (all_8_1 = e22)
% 59.11/9.21
% 59.11/9.21 Begin of proof
% 59.11/9.21 |
% 59.11/9.21 | COMBINE_EQS: (1), (2) imply:
% 59.11/9.21 | (4) all_8_1 = e22
% 59.11/9.21 |
% 59.11/9.21 | SIMP: (4) implies:
% 59.11/9.21 | (5) all_8_1 = e22
% 59.11/9.21 |
% 59.11/9.21 | REDUCE: (3), (5) imply:
% 59.11/9.21 | (6) $false
% 59.11/9.21 |
% 59.11/9.21 | CLOSE: (6) is inconsistent.
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #56 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) all_26_9 = all_14_12
% 59.11/9.21 (2) all_26_9 = e22
% 59.11/9.21 (3) ~ (all_14_12 = e22)
% 59.11/9.21
% 59.11/9.21 Begin of proof
% 59.11/9.21 |
% 59.11/9.21 | COMBINE_EQS: (1), (2) imply:
% 59.11/9.21 | (4) all_14_12 = e22
% 59.11/9.21 |
% 59.11/9.21 | SIMP: (4) implies:
% 59.11/9.21 | (5) all_14_12 = e22
% 59.11/9.21 |
% 59.11/9.21 | REDUCE: (3), (5) imply:
% 59.11/9.21 | (6) $false
% 59.11/9.21 |
% 59.11/9.21 | CLOSE: (6) is inconsistent.
% 59.11/9.21 |
% 59.11/9.21 End of proof
% 59.11/9.21
% 59.11/9.21 Sub-proof #57 shows that the following formulas are inconsistent:
% 59.11/9.21 ----------------------------------------------------------------
% 59.11/9.21 (1) all_22_11 = e21
% 59.11/9.21 (2) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 59.11/9.21 (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 59.11/9.21 (3) all_18_11 = all_14_14
% 59.11/9.21 (4) ~ (all_14_7 = e23)
% 59.11/9.21 (5) ~ (all_14_2 = all_14_6)
% 59.11/9.21 (6) all_26_12 = all_14_3
% 59.11/9.21 (7) ~ (all_14_14 = all_4_1)
% 59.11/9.21 (8) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 59.11/9.21 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 59.11/9.21 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 59.11/9.21 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 59.11/9.21 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 59.11/9.21 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 59.11/9.21 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 59.11/9.21 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 59.11/9.21 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 59.11/9.21 all_22_13 = e21))
% 59.11/9.21 (9) all_26_7 = all_14_6
% 59.11/9.21 (10) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 59.11/9.21 (11) ~ (all_14_14 = e21)
% 59.11/9.21 (12) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 59.11/9.21 (13) all_18_9 = all_14_6
% 59.11/9.21 (14) all_18_15 = all_10_1
% 59.11/9.21 (15) all_22_13 = all_14_14
% 59.11/9.21 (16) ~ (e21 = e20)
% 59.11/9.21 (17) ~ (all_14_2 = e20)
% 59.11/9.21 (18) ~ (all_14_7 = all_10_1)
% 59.11/9.21 (19) ~ (all_14_6 = all_4_1)
% 59.11/9.21 (20) ~ (all_4_1 = e22)
% 59.11/9.21 (21) ~ (e22 = e21)
% 59.11/9.21 (22) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 59.11/9.21 (23) all_22_15 = all_10_1
% 59.11/9.21 (24) ~ (all_14_8 = all_4_1)
% 59.11/9.21 (25) all_22_4 = all_14_6
% 59.11/9.21 (26) ~ (all_14_2 = all_4_1)
% 59.11/9.21 (27) all_26_14 = all_14_11
% 59.11/9.21 (28) ~ (all_14_7 = all_14_11)
% 59.11/9.21 (29) all_22_2 = all_14_3
% 59.11/9.21 (30) ~ (all_14_11 = e22)
% 59.11/9.21 (31) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 59.11/9.21 (32) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 59.11/9.21 (33) all_22_9 = e22
% 59.11/9.21 (34) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 59.11/9.21 (35) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 59.11/9.21 (36) all_26_4 = all_14_8
% 59.11/9.21 (37) ~ (all_14_6 = all_14_14)
% 59.11/9.21 (38) ~ (all_14_4 = all_8_1)
% 59.11/9.21 (39) ~ (all_14_4 = e22)
% 59.11/9.21 (40) ~ (all_14_8 = e22)
% 59.11/9.21 (41) all_22_0 = e20
% 59.11/9.21 (42) all_22_6 = all_14_8
% 59.11/9.21 (43) all_22_3 = all_14_4
% 59.11/9.21 (44) all_18_8 = all_14_2
% 59.11/9.22 (45) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.11/9.22 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.22 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.11/9.22 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.11/9.22 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.11/9.22 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.22 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 59.11/9.22 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.11/9.22 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.22 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.11/9.22 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.11/9.22 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.11/9.22 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.22 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 59.11/9.22 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.11/9.22 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.22 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.11/9.22 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.11/9.22 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.11/9.22 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.22 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 59.11/9.22 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.11/9.22 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 59.11/9.22 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.11/9.22 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.11/9.22 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.11/9.22 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.11/9.22 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.11/9.22 (46) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 59.11/9.22 (47) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 59.11/9.22 (48) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 59.11/9.22 (49) all_26_8 = all_4_1
% 59.11/9.22 (50) ~ (all_14_3 = e20)
% 59.11/9.22 (51) all_18_14 = all_14_11
% 59.11/9.22 (52) all_18_1 = all_14_4
% 59.11/9.22 (53) ~ (all_10_1 = e22)
% 59.11/9.22 (54) all_22_14 = all_4_1
% 59.11/9.22 (55) ~ (all_10_1 = e21)
% 59.11/9.22 (56) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 59.11/9.22 (57) ~ (all_14_4 = all_14_7)
% 59.11/9.22 (58) ~ (all_14_8 = all_14_11)
% 59.11/9.22 (59) all_22_8 = all_14_11
% 59.11/9.22 (60) ~ (all_14_11 = all_4_1)
% 59.11/9.22 (61) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 59.11/9.22 (62) ~ (all_14_14 = e22)
% 59.11/9.22 (63) ~ (all_14_3 = all_10_1)
% 59.11/9.22 (64) ~ (e23 = e22)
% 59.11/9.22 (65) all_18_12 = all_14_3
% 59.11/9.22 (66) ~ (all_14_6 = e23)
% 59.11/9.22 (67) ~ (all_14_3 = all_14_11)
% 59.11/9.22 (68) ~ (all_14_6 = all_14_7)
% 59.11/9.22 (69) ~ (all_14_4 = all_14_6)
% 59.11/9.22 (70) all_26_11 = all_14_14
% 59.11/9.22 (71) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 59.11/9.22 (72) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 59.11/9.22 (73) ~ (all_14_3 = all_14_7)
% 59.11/9.22 (74) all_26_3 = e23
% 59.11/9.22 (75) all_22_5 = all_14_7
% 59.11/9.22 (76) all_26_5 = e22
% 59.11/9.22 (77) all_26_2 = e20
% 59.11/9.22 (78) all_26_1 = all_14_4
% 59.11/9.22 (79) all_18_10 = all_4_1
% 59.11/9.22 (80) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 59.11/9.22 (81) ~ (all_14_2 = all_14_14)
% 59.11/9.22 (82) all_22_1 = all_14_2
% 59.11/9.22 (83) ~ (all_14_14 = all_10_1)
% 59.11/9.22 (84) ~ (all_14_11 = all_10_1)
% 59.11/9.22 (85) all_26_6 = all_14_2
% 59.11/9.22 (86) all_26_0 = all_8_1
% 59.11/9.22 (87) ~ (all_14_4 = e23)
% 59.11/9.22 (88) all_26_15 = all_10_1
% 59.11/9.22 (89) all_26_13 = all_14_7
% 59.11/9.22 (90) ~ (all_14_2 = all_14_3)
% 59.11/9.22 (91) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 59.11/9.22 (92) all_22_12 = e23
% 59.11/9.22
% 59.11/9.22 Begin of proof
% 59.11/9.22 |
% 59.11/9.22 | BETA: splitting (72) gives:
% 59.11/9.22 |
% 59.11/9.22 | Case 1:
% 59.11/9.22 | |
% 59.11/9.22 | | (93) all_18_15 = e22
% 59.11/9.22 | |
% 59.11/9.22 | | COMBINE_EQS: (14), (93) imply:
% 59.11/9.22 | | (94) all_10_1 = e22
% 59.11/9.22 | |
% 59.11/9.22 | | SIMP: (94) implies:
% 59.11/9.22 | | (95) all_10_1 = e22
% 59.11/9.22 | |
% 59.11/9.22 | | REDUCE: (53), (95) imply:
% 59.11/9.22 | | (96) $false
% 59.11/9.22 | |
% 59.11/9.22 | | CLOSE: (96) is inconsistent.
% 59.11/9.22 | |
% 59.11/9.22 | Case 2:
% 59.11/9.22 | |
% 59.11/9.22 | | (97) ~ (all_18_15 = e22)
% 59.11/9.22 | | (98) all_18_15 = e23 | all_18_15 = e21 | all_18_15 = e20
% 59.11/9.22 | |
% 59.11/9.22 | | BETA: splitting (71) gives:
% 59.11/9.22 | |
% 59.11/9.22 | | Case 1:
% 59.11/9.22 | | |
% 59.11/9.22 | | | (99) all_18_11 = e22
% 59.11/9.22 | | |
% 59.11/9.22 | | | COMBINE_EQS: (3), (99) imply:
% 59.11/9.22 | | | (100) all_14_14 = e22
% 59.11/9.22 | | |
% 59.11/9.22 | | | REDUCE: (62), (100) imply:
% 59.11/9.22 | | | (101) $false
% 59.11/9.22 | | |
% 59.11/9.22 | | | CLOSE: (101) is inconsistent.
% 59.11/9.22 | | |
% 59.11/9.22 | | Case 2:
% 59.11/9.22 | | |
% 59.11/9.22 | | | (102) ~ (all_18_11 = e22)
% 59.11/9.22 | | | (103) all_18_11 = e23 | all_18_11 = e21 | all_18_11 = e20
% 59.11/9.22 | | |
% 59.11/9.22 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 59.11/9.22 | | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 59.11/9.22 | | | (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 59.11/9.22 | | | (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 59.11/9.22 | | | (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 59.11/9.22 | | | (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 59.11/9.22 | | | (63), (64), (65), (66), (67), (68), (69), (70), (73), (74),
% 59.11/9.22 | | | (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 59.11/9.22 | | | (85), (86), (87), (88), (89), (90), (91), (92), (98), (103) are
% 59.11/9.22 | | | inconsistent by sub-proof #58.
% 59.11/9.22 | | |
% 59.11/9.22 | | End of split
% 59.11/9.22 | |
% 59.11/9.22 | End of split
% 59.11/9.22 |
% 59.11/9.22 End of proof
% 59.11/9.22
% 59.11/9.22 Sub-proof #58 shows that the following formulas are inconsistent:
% 59.11/9.22 ----------------------------------------------------------------
% 59.11/9.22 (1) all_22_11 = e21
% 59.11/9.22 (2) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 59.11/9.22 (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 59.11/9.22 (3) all_18_11 = all_14_14
% 59.11/9.22 (4) ~ (all_14_7 = e23)
% 59.11/9.22 (5) ~ (all_14_2 = all_14_6)
% 59.11/9.22 (6) all_26_12 = all_14_3
% 59.11/9.22 (7) ~ (all_14_14 = all_4_1)
% 59.11/9.22 (8) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 59.11/9.22 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 59.11/9.22 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 59.11/9.22 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 59.11/9.22 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~
% 59.11/9.22 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) |
% 59.11/9.22 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) |
% 59.11/9.22 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 59.11/9.22 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 59.11/9.22 all_22_13 = e21))
% 59.11/9.22 (9) all_26_7 = all_14_6
% 59.11/9.22 (10) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 59.11/9.22 (11) ~ (all_14_14 = e21)
% 59.11/9.22 (12) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 59.11/9.22 (13) all_18_9 = all_14_6
% 59.11/9.22 (14) all_18_15 = all_10_1
% 59.11/9.22 (15) all_22_13 = all_14_14
% 59.11/9.22 (16) ~ (e21 = e20)
% 59.11/9.22 (17) ~ (all_14_2 = e20)
% 59.11/9.22 (18) ~ (all_14_7 = all_10_1)
% 59.11/9.22 (19) ~ (all_14_6 = all_4_1)
% 59.11/9.22 (20) ~ (all_4_1 = e22)
% 59.11/9.22 (21) ~ (e22 = e21)
% 59.11/9.22 (22) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 59.11/9.22 (23) all_22_15 = all_10_1
% 59.11/9.22 (24) ~ (all_14_8 = all_4_1)
% 59.11/9.22 (25) all_22_4 = all_14_6
% 59.11/9.22 (26) ~ (all_14_2 = all_4_1)
% 59.11/9.22 (27) all_26_14 = all_14_11
% 59.11/9.22 (28) ~ (all_14_7 = all_14_11)
% 59.11/9.22 (29) all_22_2 = all_14_3
% 59.11/9.22 (30) ~ (all_14_11 = e22)
% 59.11/9.22 (31) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 59.11/9.22 (32) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 59.11/9.22 (33) all_22_9 = e22
% 59.11/9.22 (34) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 59.11/9.22 (35) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 59.11/9.22 (36) all_26_4 = all_14_8
% 59.11/9.22 (37) ~ (all_14_6 = all_14_14)
% 59.11/9.22 (38) ~ (all_14_4 = all_8_1)
% 59.11/9.22 (39) ~ (all_14_4 = e22)
% 59.11/9.22 (40) ~ (all_14_8 = e22)
% 59.11/9.22 (41) all_22_0 = e20
% 59.11/9.22 (42) all_22_6 = all_14_8
% 59.11/9.22 (43) all_22_3 = all_14_4
% 59.11/9.22 (44) all_18_8 = all_14_2
% 59.11/9.23 (45) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.11/9.23 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.23 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.11/9.23 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.11/9.23 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.11/9.23 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.23 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 59.11/9.23 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.11/9.23 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.23 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.11/9.23 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.11/9.23 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.11/9.23 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.23 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 59.11/9.23 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.11/9.23 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.23 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.11/9.23 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.11/9.23 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.11/9.23 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.23 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 59.11/9.23 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.11/9.23 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 59.11/9.23 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.11/9.23 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.11/9.23 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.11/9.23 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.11/9.23 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.11/9.23 (46) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 59.11/9.23 (47) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 59.11/9.23 (48) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 59.11/9.23 (49) all_26_8 = all_4_1
% 59.11/9.23 (50) ~ (all_14_3 = e20)
% 59.11/9.23 (51) all_18_14 = all_14_11
% 59.11/9.23 (52) all_18_1 = all_14_4
% 59.11/9.23 (53) ~ (all_10_1 = e22)
% 59.11/9.23 (54) all_22_14 = all_4_1
% 59.11/9.23 (55) ~ (all_10_1 = e21)
% 59.11/9.23 (56) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 59.11/9.23 (57) ~ (all_14_4 = all_14_7)
% 59.11/9.23 (58) ~ (all_14_8 = all_14_11)
% 59.11/9.23 (59) all_22_8 = all_14_11
% 59.11/9.23 (60) ~ (all_14_11 = all_4_1)
% 59.11/9.23 (61) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 59.11/9.23 (62) ~ (all_14_14 = e22)
% 59.11/9.23 (63) all_18_11 = e23 | all_18_11 = e21 | all_18_11 = e20
% 59.11/9.23 (64) ~ (all_14_3 = all_10_1)
% 59.11/9.23 (65) ~ (e23 = e22)
% 59.11/9.23 (66) all_18_12 = all_14_3
% 59.11/9.23 (67) ~ (all_14_6 = e23)
% 59.11/9.23 (68) all_18_15 = e23 | all_18_15 = e21 | all_18_15 = e20
% 59.11/9.23 (69) ~ (all_14_3 = all_14_11)
% 59.11/9.23 (70) ~ (all_14_6 = all_14_7)
% 59.11/9.23 (71) ~ (all_14_4 = all_14_6)
% 59.11/9.23 (72) all_26_11 = all_14_14
% 59.11/9.23 (73) ~ (all_14_3 = all_14_7)
% 59.11/9.23 (74) all_26_3 = e23
% 59.11/9.23 (75) all_22_5 = all_14_7
% 59.11/9.23 (76) all_26_5 = e22
% 59.11/9.23 (77) all_26_2 = e20
% 59.11/9.23 (78) all_26_1 = all_14_4
% 59.11/9.23 (79) all_18_10 = all_4_1
% 59.11/9.23 (80) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 59.11/9.23 (81) ~ (all_14_2 = all_14_14)
% 59.11/9.23 (82) all_22_1 = all_14_2
% 59.11/9.23 (83) ~ (all_14_14 = all_10_1)
% 59.11/9.23 (84) ~ (all_14_11 = all_10_1)
% 59.11/9.23 (85) all_26_6 = all_14_2
% 59.11/9.23 (86) all_26_0 = all_8_1
% 59.11/9.23 (87) ~ (all_14_4 = e23)
% 59.11/9.23 (88) all_26_15 = all_10_1
% 59.11/9.23 (89) all_26_13 = all_14_7
% 59.11/9.23 (90) ~ (all_14_2 = all_14_3)
% 59.11/9.23 (91) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 59.11/9.23 (92) all_22_12 = e23
% 59.11/9.23
% 59.11/9.23 Begin of proof
% 59.11/9.23 |
% 59.11/9.23 | BETA: splitting (22) gives:
% 59.11/9.23 |
% 59.11/9.23 | Case 1:
% 59.11/9.23 | |
% 59.11/9.23 | | (93) all_18_1 = e22
% 59.11/9.23 | |
% 59.11/9.23 | | COMBINE_EQS: (52), (93) imply:
% 59.11/9.23 | | (94) all_14_4 = e22
% 59.11/9.23 | |
% 59.11/9.23 | | SIMP: (94) implies:
% 59.11/9.23 | | (95) all_14_4 = e22
% 59.11/9.23 | |
% 59.11/9.23 | | REDUCE: (39), (95) imply:
% 59.11/9.23 | | (96) $false
% 59.11/9.23 | |
% 59.11/9.23 | | CLOSE: (96) is inconsistent.
% 59.11/9.23 | |
% 59.11/9.23 | Case 2:
% 59.11/9.23 | |
% 59.11/9.23 | | (97) ~ (all_18_1 = e22)
% 59.11/9.23 | | (98) all_18_1 = e23 | all_18_1 = e21 | all_18_1 = e20
% 59.11/9.23 | |
% 59.11/9.23 | | BETA: splitting (34) gives:
% 59.11/9.23 | |
% 59.11/9.23 | | Case 1:
% 59.11/9.23 | | |
% 59.11/9.23 | | | (99) all_18_12 = e22
% 59.11/9.23 | | |
% 59.11/9.23 | | | COMBINE_EQS: (66), (99) imply:
% 59.11/9.23 | | | (100) all_14_3 = e22
% 59.11/9.23 | | |
% 59.11/9.23 | | | SIMP: (100) implies:
% 59.11/9.23 | | | (101) all_14_3 = e22
% 59.11/9.23 | | |
% 59.11/9.23 | | | COMBINE_EQS: (29), (101) imply:
% 59.11/9.23 | | | (102) all_22_2 = e22
% 59.11/9.23 | | |
% 59.11/9.23 | | | COMBINE_EQS: (6), (101) imply:
% 59.11/9.23 | | | (103) all_26_12 = e22
% 59.11/9.23 | | |
% 59.11/9.23 | | | REDUCE: (90), (101) imply:
% 59.11/9.23 | | | (104) ~ (all_14_2 = e22)
% 59.11/9.23 | | |
% 59.11/9.23 | | | REDUCE: (73), (101) imply:
% 59.11/9.23 | | | (105) ~ (all_14_7 = e22)
% 59.11/9.23 | | |
% 59.11/9.23 | | | SIMP: (105) implies:
% 59.11/9.23 | | | (106) ~ (all_14_7 = e22)
% 59.11/9.23 | | |
% 59.11/9.23 | | | REDUCE: (64), (101) imply:
% 59.11/9.23 | | | (107) ~ (all_10_1 = e22)
% 59.11/9.23 | | |
% 59.11/9.23 | | | REDUCE: (50), (101) imply:
% 59.11/9.23 | | | (108) ~ (e22 = e20)
% 59.11/9.23 | | |
% 59.11/9.23 | | | BETA: splitting (56) gives:
% 59.11/9.23 | | |
% 59.11/9.23 | | | Case 1:
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | (109) all_26_6 = e22
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | COMBINE_EQS: (85), (109) imply:
% 59.11/9.23 | | | | (110) all_14_2 = e22
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | REDUCE: (104), (110) imply:
% 59.11/9.23 | | | | (111) $false
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | CLOSE: (111) is inconsistent.
% 59.11/9.23 | | | |
% 59.11/9.23 | | | Case 2:
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | (112) all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | BETA: splitting (112) gives:
% 59.11/9.23 | | | |
% 59.11/9.23 | | | | Case 1:
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | (113) all_26_7 = e22
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | COMBINE_EQS: (9), (113) imply:
% 59.11/9.23 | | | | | (114) all_14_6 = e22
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | COMBINE_EQS: (25), (114) imply:
% 59.11/9.23 | | | | | (115) all_22_4 = e22
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | REDUCE: (37), (114) imply:
% 59.11/9.23 | | | | | (116) ~ (all_14_14 = e22)
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | REDUCE: (19), (114) imply:
% 59.11/9.23 | | | | | (117) ~ (all_4_1 = e22)
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | REDUCE: (67), (114) imply:
% 59.11/9.23 | | | | | (118) ~ (e23 = e22)
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | BETA: splitting (10) gives:
% 59.11/9.23 | | | | |
% 59.11/9.23 | | | | | Case 1:
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | (119) all_18_8 = e22
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | COMBINE_EQS: (44), (119) imply:
% 59.11/9.23 | | | | | | (120) all_14_2 = e22
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | REDUCE: (104), (120) imply:
% 59.11/9.23 | | | | | | (121) $false
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | CLOSE: (121) is inconsistent.
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | Case 2:
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | (122) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | BETA: splitting (2) gives:
% 59.11/9.23 | | | | | |
% 59.11/9.23 | | | | | | Case 1:
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | (123) all_26_15 = e20
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | COMBINE_EQS: (88), (123) imply:
% 59.11/9.23 | | | | | | | (124) all_10_1 = e20
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | SIMP: (124) implies:
% 59.11/9.23 | | | | | | | (125) all_10_1 = e20
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | REDUCE: (83), (125) imply:
% 59.11/9.23 | | | | | | | (126) ~ (all_14_14 = e20)
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | REDUCE: (53), (125) imply:
% 59.11/9.23 | | | | | | | (127) ~ (e22 = e20)
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | REDUCE: (55), (125) imply:
% 59.11/9.23 | | | | | | | (128) ~ (e21 = e20)
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | BETA: splitting (8) gives:
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | Case 1:
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | | (129) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 =
% 59.11/9.23 | | | | | | | | e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) & (
% 59.11/9.23 | | | | | | | | ~ (all_22_15 = e23) | all_22_2 = e20)) | (all_22_12
% 59.11/9.23 | | | | | | | | = e22 & ( ~ (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 59.11/9.23 | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 59.11/9.23 | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | | REF_CLOSE: (41), (65), (92), (108), (129) are inconsistent by
% 59.11/9.23 | | | | | | | | sub-proof #108.
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | Case 2:
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | | (130) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 =
% 59.11/9.23 | | | | | | | | e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22) & (
% 59.11/9.23 | | | | | | | | ~ (all_22_15 = e21) | all_22_8 = e20)) | (all_22_15
% 59.11/9.23 | | | | | | | | = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 59.11/9.23 | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 59.11/9.23 | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | | BETA: splitting (130) gives:
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | | Case 1:
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | (131) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 =
% 59.11/9.23 | | | | | | | | | e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22) & (
% 59.11/9.23 | | | | | | | | | ~ (all_22_15 = e21) | all_22_8 = e20)
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | ALPHA: (131) implies:
% 59.11/9.23 | | | | | | | | | (132) all_22_14 = e21
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | COMBINE_EQS: (54), (132) imply:
% 59.11/9.23 | | | | | | | | | (133) all_4_1 = e21
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | SIMP: (133) implies:
% 59.11/9.23 | | | | | | | | | (134) all_4_1 = e21
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | COMBINE_EQS: (49), (134) imply:
% 59.11/9.23 | | | | | | | | | (135) all_26_8 = e21
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | REDUCE: (26), (134) imply:
% 59.11/9.23 | | | | | | | | | (136) ~ (all_14_2 = e21)
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | REDUCE: (20), (134) imply:
% 59.11/9.23 | | | | | | | | | (137) ~ (e22 = e21)
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | REF_CLOSE: (1), (11), (15), (16), (17), (21), (33), (35),
% 59.11/9.23 | | | | | | | | | (38), (41), (43), (45), (52), (57), (62), (65),
% 59.11/9.23 | | | | | | | | | (72), (75), (77), (82), (85), (86), (87), (91),
% 59.11/9.23 | | | | | | | | | (98), (102), (103), (108), (113), (115), (132),
% 59.11/9.23 | | | | | | | | | (135), (136) are inconsistent by sub-proof #96.
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | Case 2:
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | (138) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 =
% 59.11/9.23 | | | | | | | | | e23) & ( ~ (all_22_12 = e20) | all_22_11 = e22) & (
% 59.11/9.23 | | | | | | | | | ~ (all_22_14 = e20) | all_22_13 = e21)
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | ALPHA: (138) implies:
% 59.11/9.23 | | | | | | | | | (139) ~ (all_22_14 = e20) | all_22_13 = e21
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | BETA: splitting (63) gives:
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | | Case 1:
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | (140) all_18_11 = e23
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | COMBINE_EQS: (3), (140) imply:
% 59.11/9.23 | | | | | | | | | | (141) all_14_14 = e23
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | SIMP: (141) implies:
% 59.11/9.23 | | | | | | | | | | (142) all_14_14 = e23
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | COMBINE_EQS: (15), (142) imply:
% 59.11/9.23 | | | | | | | | | | (143) all_22_13 = e23
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | REDUCE: (81), (142) imply:
% 59.11/9.23 | | | | | | | | | | (144) ~ (all_14_2 = e23)
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | REDUCE: (7), (142) imply:
% 59.11/9.23 | | | | | | | | | | (145) ~ (all_4_1 = e23)
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | SIMP: (145) implies:
% 59.11/9.23 | | | | | | | | | | (146) ~ (all_4_1 = e23)
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | REDUCE: (11), (142) imply:
% 59.11/9.23 | | | | | | | | | | (147) ~ (e23 = e21)
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | BETA: splitting (139) gives:
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | Case 1:
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | (148) ~ (all_22_14 = e20)
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | REDUCE: (54), (148) imply:
% 59.11/9.23 | | | | | | | | | | | (149) ~ (all_4_1 = e20)
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | REF_CLOSE: (17), (26), (44), (47), (79), (122), (144), (146),
% 59.11/9.23 | | | | | | | | | | | (149) are inconsistent by sub-proof #93.
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | Case 2:
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | (150) all_22_13 = e21
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | COMBINE_EQS: (143), (150) imply:
% 59.11/9.23 | | | | | | | | | | | (151) e23 = e21
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | SIMP: (151) implies:
% 59.11/9.23 | | | | | | | | | | | (152) e23 = e21
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | REDUCE: (147), (152) imply:
% 59.11/9.23 | | | | | | | | | | | (153) $false
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | | CLOSE: (153) is inconsistent.
% 59.11/9.23 | | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | End of split
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | Case 2:
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | (154) all_18_11 = e21 | all_18_11 = e20
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | | REF_CLOSE: (3), (11), (126), (154) are inconsistent by
% 59.11/9.23 | | | | | | | | | | sub-proof #91.
% 59.11/9.23 | | | | | | | | | |
% 59.11/9.23 | | | | | | | | | End of split
% 59.11/9.23 | | | | | | | | |
% 59.11/9.23 | | | | | | | | End of split
% 59.11/9.23 | | | | | | | |
% 59.11/9.23 | | | | | | | End of split
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | Case 2:
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | (155) ~ (all_26_15 = e20)
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | REDUCE: (88), (155) imply:
% 59.11/9.23 | | | | | | | (156) ~ (all_10_1 = e20)
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | BETA: splitting (8) gives:
% 59.11/9.23 | | | | | | |
% 59.11/9.23 | | | | | | | Case 1:
% 59.11/9.23 | | | | | | | |
% 59.11/9.24 | | | | | | | | (157) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 =
% 59.11/9.24 | | | | | | | | e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) & (
% 59.11/9.24 | | | | | | | | ~ (all_22_15 = e23) | all_22_2 = e20)) | (all_22_12
% 59.11/9.24 | | | | | | | | = e22 & ( ~ (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 59.11/9.24 | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 59.11/9.24 | | | | | | | | (all_22_15 = e22) | all_22_5 = e20))
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | REF_CLOSE: (41), (65), (92), (108), (157) are inconsistent by
% 59.11/9.24 | | | | | | | | sub-proof #108.
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | Case 2:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | (158) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 =
% 59.11/9.24 | | | | | | | | e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22) & (
% 59.11/9.24 | | | | | | | | ~ (all_22_15 = e21) | all_22_8 = e20)) | (all_22_15
% 59.11/9.24 | | | | | | | | = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 59.11/9.24 | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~
% 59.11/9.24 | | | | | | | | (all_22_14 = e20) | all_22_13 = e21))
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | BETA: splitting (158) gives:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | (159) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 =
% 59.11/9.24 | | | | | | | | | e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22) & (
% 59.11/9.24 | | | | | | | | | ~ (all_22_15 = e21) | all_22_8 = e20)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | ALPHA: (159) implies:
% 59.11/9.24 | | | | | | | | | (160) all_22_14 = e21
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | COMBINE_EQS: (54), (160) imply:
% 59.11/9.24 | | | | | | | | | (161) all_4_1 = e21
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | SIMP: (161) implies:
% 59.11/9.24 | | | | | | | | | (162) all_4_1 = e21
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | COMBINE_EQS: (49), (162) imply:
% 59.11/9.24 | | | | | | | | | (163) all_26_8 = e21
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REDUCE: (26), (162) imply:
% 59.11/9.24 | | | | | | | | | (164) ~ (all_14_2 = e21)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REDUCE: (20), (162) imply:
% 59.11/9.24 | | | | | | | | | (165) ~ (e22 = e21)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REF_CLOSE: (1), (11), (15), (16), (17), (21), (33), (35),
% 59.11/9.24 | | | | | | | | | (38), (41), (43), (45), (52), (57), (62), (65),
% 59.11/9.24 | | | | | | | | | (72), (75), (77), (82), (85), (86), (87), (91),
% 59.11/9.24 | | | | | | | | | (98), (102), (103), (108), (113), (115), (160),
% 59.11/9.24 | | | | | | | | | (163), (164) are inconsistent by sub-proof #96.
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | Case 2:
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | (166) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 =
% 59.11/9.24 | | | | | | | | | e23) & ( ~ (all_22_12 = e20) | all_22_11 = e22) & (
% 59.11/9.24 | | | | | | | | | ~ (all_22_14 = e20) | all_22_13 = e21)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REF_CLOSE: (23), (156), (166) are inconsistent by sub-proof
% 59.11/9.24 | | | | | | | | | #90.
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | End of split
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | End of split
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | End of split
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | End of split
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | Case 2:
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | (167) ~ (all_26_7 = e22)
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | REDUCE: (9), (167) imply:
% 59.11/9.24 | | | | | (168) ~ (all_14_6 = e22)
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | BETA: splitting (12) gives:
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | Case 1:
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | (169) all_26_1 = e22
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | REF_CLOSE: (39), (78), (169) are inconsistent by sub-proof #89.
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | Case 2:
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | (170) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | BETA: splitting (170) gives:
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | Case 1:
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | (171) all_26_3 = e22
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | REF_CLOSE: (65), (74), (171) are inconsistent by sub-proof #134.
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | Case 2:
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | (172) all_26_7 = e22 | all_26_13 = e22
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | BETA: splitting (172) gives:
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | (173) all_26_7 = e22
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | COMBINE_EQS: (9), (173) imply:
% 59.11/9.24 | | | | | | | | (174) all_14_6 = e22
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | REDUCE: (168), (174) imply:
% 59.11/9.24 | | | | | | | | (175) $false
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | CLOSE: (175) is inconsistent.
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | Case 2:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | (176) all_26_13 = e22
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | REF_CLOSE: (89), (106), (176) are inconsistent by sub-proof #88.
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | End of split
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | End of split
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | End of split
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | End of split
% 59.11/9.24 | | | |
% 59.11/9.24 | | | End of split
% 59.11/9.24 | | |
% 59.11/9.24 | | Case 2:
% 59.11/9.24 | | |
% 59.11/9.24 | | | (177) ~ (all_18_12 = e22)
% 59.11/9.24 | | |
% 59.11/9.24 | | | REDUCE: (66), (177) imply:
% 59.11/9.24 | | | (178) ~ (all_14_3 = e22)
% 59.11/9.24 | | |
% 59.11/9.24 | | | BETA: splitting (48) gives:
% 59.11/9.24 | | |
% 59.11/9.24 | | | Case 1:
% 59.11/9.24 | | | |
% 59.11/9.24 | | | | (179) all_26_12 = e22
% 59.11/9.24 | | | |
% 59.11/9.24 | | | | REF_CLOSE: (6), (178), (179) are inconsistent by sub-proof #87.
% 59.11/9.24 | | | |
% 59.11/9.24 | | | Case 2:
% 59.11/9.24 | | | |
% 59.11/9.24 | | | | (180) all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 59.11/9.24 | | | |
% 59.11/9.24 | | | | BETA: splitting (180) gives:
% 59.11/9.24 | | | |
% 59.11/9.24 | | | | Case 1:
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | (181) all_26_13 = e22
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | COMBINE_EQS: (89), (181) imply:
% 59.11/9.24 | | | | | (182) all_14_7 = e22
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | COMBINE_EQS: (75), (182) imply:
% 59.11/9.24 | | | | | (183) all_22_5 = e22
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | REDUCE: (70), (182) imply:
% 59.11/9.24 | | | | | (184) ~ (all_14_6 = e22)
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | REDUCE: (28), (182) imply:
% 59.11/9.24 | | | | | (185) ~ (all_14_11 = e22)
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | REDUCE: (18), (182) imply:
% 59.11/9.24 | | | | | (186) ~ (all_10_1 = e22)
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | REDUCE: (4), (182) imply:
% 59.11/9.24 | | | | | (187) ~ (e23 = e22)
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | BETA: splitting (56) gives:
% 59.11/9.24 | | | | |
% 59.11/9.24 | | | | | Case 1:
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | (188) all_26_6 = e22
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | COMBINE_EQS: (85), (188) imply:
% 59.11/9.24 | | | | | | (189) all_14_2 = e22
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | COMBINE_EQS: (82), (189) imply:
% 59.11/9.24 | | | | | | (190) all_22_1 = e22
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | REDUCE: (90), (189) imply:
% 59.11/9.24 | | | | | | (191) ~ (all_14_3 = e22)
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | REDUCE: (5), (189) imply:
% 59.11/9.24 | | | | | | (192) ~ (all_14_6 = e22)
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | REDUCE: (81), (189) imply:
% 59.11/9.24 | | | | | | (193) ~ (all_14_14 = e22)
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | REDUCE: (17), (189) imply:
% 59.11/9.24 | | | | | | (194) ~ (e22 = e20)
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | BETA: splitting (31) gives:
% 59.11/9.24 | | | | | |
% 59.11/9.24 | | | | | | Case 1:
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | (195) all_18_9 = e22
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | COMBINE_EQS: (13), (195) imply:
% 59.11/9.24 | | | | | | | (196) all_14_6 = e22
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | REDUCE: (184), (196) imply:
% 59.11/9.24 | | | | | | | (197) $false
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | CLOSE: (197) is inconsistent.
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | Case 2:
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | (198) ~ (all_18_9 = e22)
% 59.11/9.24 | | | | | | | (199) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | BETA: splitting (80) gives:
% 59.11/9.24 | | | | | | |
% 59.11/9.24 | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | (200) all_18_14 = e22
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | COMBINE_EQS: (51), (200) imply:
% 59.11/9.24 | | | | | | | | (201) all_14_11 = e22
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | REDUCE: (30), (201) imply:
% 59.11/9.24 | | | | | | | | (202) $false
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | CLOSE: (202) is inconsistent.
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | Case 2:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | (203) ~ (all_18_14 = e22)
% 59.11/9.24 | | | | | | | | (204) all_18_14 = e23 | all_18_14 = e21 | all_18_14 = e20
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | BETA: splitting (2) gives:
% 59.11/9.24 | | | | | | | |
% 59.11/9.24 | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | (205) all_26_15 = e20
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | COMBINE_EQS: (88), (205) imply:
% 59.11/9.24 | | | | | | | | | (206) all_10_1 = e20
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | SIMP: (206) implies:
% 59.11/9.24 | | | | | | | | | (207) all_10_1 = e20
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REDUCE: (84), (207) imply:
% 59.11/9.24 | | | | | | | | | (208) ~ (all_14_11 = e20)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REDUCE: (83), (207) imply:
% 59.11/9.24 | | | | | | | | | (209) ~ (all_14_14 = e20)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REDUCE: (53), (207) imply:
% 59.11/9.24 | | | | | | | | | (210) ~ (e22 = e20)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | REDUCE: (55), (207) imply:
% 59.11/9.24 | | | | | | | | | (211) ~ (e21 = e20)
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | BETA: splitting (8) gives:
% 59.11/9.24 | | | | | | | | |
% 59.11/9.24 | | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | (212) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0
% 59.11/9.24 | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 =
% 59.11/9.24 | | | | | | | | | | e21) & ( ~ (all_22_15 = e23) | all_22_2 = e20))
% 59.11/9.24 | | | | | | | | | | | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 59.11/9.24 | | | | | | | | | | all_22_3 = e23) & ( ~ (all_22_14 = e22) |
% 59.11/9.24 | | | | | | | | | | all_22_4 = e21) & ( ~ (all_22_15 = e22) |
% 59.11/9.24 | | | | | | | | | | all_22_5 = e20))
% 59.11/9.24 | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | REF_CLOSE: (41), (65), (92), (194), (212) are inconsistent by
% 59.11/9.24 | | | | | | | | | | sub-proof #108.
% 59.11/9.24 | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | Case 2:
% 59.11/9.24 | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | (213) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 59.11/9.24 | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 =
% 59.11/9.24 | | | | | | | | | | e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20))
% 59.11/9.24 | | | | | | | | | | | (all_22_15 = e20 & ( ~ (all_22_10 = e20) |
% 59.11/9.24 | | | | | | | | | | all_22_9 = e23) & ( ~ (all_22_12 = e20) |
% 59.11/9.24 | | | | | | | | | | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 59.11/9.24 | | | | | | | | | | all_22_13 = e21))
% 59.11/9.24 | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | BETA: splitting (213) gives:
% 59.11/9.24 | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | (214) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 59.11/9.24 | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 59.11/9.24 | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | ALPHA: (214) implies:
% 59.11/9.24 | | | | | | | | | | | (215) all_22_14 = e21
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | COMBINE_EQS: (54), (215) imply:
% 59.11/9.24 | | | | | | | | | | | (216) all_4_1 = e21
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | SIMP: (216) implies:
% 59.11/9.24 | | | | | | | | | | | (217) all_4_1 = e21
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | REDUCE: (19), (217) imply:
% 59.11/9.24 | | | | | | | | | | | (218) ~ (all_14_6 = e21)
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | REDUCE: (60), (217) imply:
% 59.11/9.24 | | | | | | | | | | | (219) ~ (all_14_11 = e21)
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | BETA: splitting (61) gives:
% 59.11/9.24 | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | (220) all_26_1 = e21
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | COMBINE_EQS: (78), (220) imply:
% 59.11/9.24 | | | | | | | | | | | | (221) all_14_4 = e21
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | SIMP: (221) implies:
% 59.11/9.24 | | | | | | | | | | | | (222) all_14_4 = e21
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | COMBINE_EQS: (43), (222) imply:
% 59.11/9.24 | | | | | | | | | | | | (223) all_22_3 = e21
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | REDUCE: (71), (222) imply:
% 59.11/9.24 | | | | | | | | | | | | (224) ~ (all_14_6 = e21)
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | REDUCE: (39), (222) imply:
% 59.11/9.24 | | | | | | | | | | | | (225) ~ (e22 = e21)
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | BETA: splitting (204) gives:
% 59.11/9.24 | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | (226) all_18_14 = e23
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | COMBINE_EQS: (51), (226) imply:
% 59.11/9.24 | | | | | | | | | | | | | (227) all_14_11 = e23
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | COMBINE_EQS: (59), (227) imply:
% 59.11/9.24 | | | | | | | | | | | | | (228) all_22_8 = e23
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | COMBINE_EQS: (27), (227) imply:
% 59.11/9.24 | | | | | | | | | | | | | (229) all_26_14 = e23
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | REDUCE: (69), (227) imply:
% 59.11/9.24 | | | | | | | | | | | | | (230) ~ (all_14_3 = e23)
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | REDUCE: (58), (227) imply:
% 59.11/9.24 | | | | | | | | | | | | | (231) ~ (all_14_8 = e23)
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | REDUCE: (219), (227) imply:
% 59.11/9.24 | | | | | | | | | | | | | (232) ~ (e23 = e21)
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | REDUCE: (208), (227) imply:
% 59.11/9.24 | | | | | | | | | | | | | (233) ~ (e23 = e20)
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | BETA: splitting (46) gives:
% 59.11/9.24 | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | (234) all_26_12 = e21
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | COMBINE_EQS: (6), (234) imply:
% 59.11/9.24 | | | | | | | | | | | | | | (235) all_14_3 = e21
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | SIMP: (235) implies:
% 59.11/9.24 | | | | | | | | | | | | | | (236) all_14_3 = e21
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | COMBINE_EQS: (29), (236) imply:
% 59.11/9.24 | | | | | | | | | | | | | | (237) all_22_2 = e21
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | REDUCE: (230), (236) imply:
% 59.11/9.24 | | | | | | | | | | | | | | (238) ~ (e23 = e21)
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 59.11/9.24 | | | | | | | | | | | | | |
% 59.11/9.24 | | | | | | | | | | | | | | Case 1:
% 59.11/9.24 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | (239) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | (240) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (241) all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e23))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (194), (241) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | #106.
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (242) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (243) all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_15 = e23))
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (190), (243) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | | #86.
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (244) all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_14 = e23))
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (237), (244) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | | #85.
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | (245) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (246) all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (223), (232), (246) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | #84.
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (247) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (248) all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (218), (248) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | | #83.
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (249) all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_14 = e22))
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (194), (249) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | | #82.
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | (250) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 59.11/9.25 | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 59.11/9.25 | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | (251) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e21)))
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (252) all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e21))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (231), (252) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | #81.
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (253) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (254) all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_15 = e21))
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (255) ~ (all_22_14 = e21)
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | REDUCE: (215), (255) imply:
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (256) $false
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (257) all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | | (all_22_12 = e21))
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (228), (233), (257) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | | #80.
% 59.11/9.25 | | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | (258) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 59.11/9.25 | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 59.11/9.25 | | | | | | | | | | | | | | | | ~ (all_22_12 = e20)))
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (259) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (65), (259) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | | | | #98.
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | (260) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 59.11/9.25 | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.11/9.25 | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (11), (15), (21), (260) are inconsistent by
% 59.11/9.25 | | | | | | | | | | | | | | | | | sub-proof #79.
% 59.11/9.25 | | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | (261) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 59.11/9.25 | | | | | | | | | | | | | | e21
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (181), (205), (229), (232), (261) are
% 59.11/9.25 | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | (262) all_18_14 = e21 | all_18_14 = e20
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | REF_CLOSE: (51), (208), (219), (262) are inconsistent by
% 59.11/9.25 | | | | | | | | | | | | | sub-proof #75.
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | (263) ~ (all_26_1 = e21)
% 59.11/9.25 | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | REDUCE: (78), (263) imply:
% 59.11/9.25 | | | | | | | | | | | | (264) ~ (all_14_4 = e21)
% 59.11/9.25 | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | BETA: splitting (199) gives:
% 59.11/9.25 | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | (265) all_18_9 = e23
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | REF_CLOSE: (13), (67), (265) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | #74.
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | (266) all_18_9 = e21 | all_18_9 = e20
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | BETA: splitting (266) gives:
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | Case 1:
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | (267) all_18_9 = e21
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | REF_CLOSE: (13), (218), (267) are inconsistent by sub-proof
% 59.11/9.25 | | | | | | | | | | | | | | #73.
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | (268) all_18_9 = e20
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | COMBINE_EQS: (13), (268) imply:
% 59.11/9.25 | | | | | | | | | | | | | | (269) all_14_6 = e20
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | SIMP: (269) implies:
% 59.11/9.25 | | | | | | | | | | | | | | (270) all_14_6 = e20
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | REDUCE: (71), (270) imply:
% 59.11/9.25 | | | | | | | | | | | | | | (271) ~ (all_14_4 = e20)
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | | REF_CLOSE: (52), (87), (98), (264), (271) are inconsistent by
% 59.11/9.25 | | | | | | | | | | | | | | sub-proof #102.
% 59.11/9.25 | | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | | End of split
% 59.11/9.25 | | | | | | | | | | |
% 59.11/9.25 | | | | | | | | | | Case 2:
% 59.11/9.25 | | | | | | | | | | |
% 59.11/9.26 | | | | | | | | | | | (272) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 59.11/9.26 | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 59.11/9.26 | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 59.11/9.26 | | | | | | | | | | |
% 59.11/9.26 | | | | | | | | | | | ALPHA: (272) implies:
% 59.11/9.26 | | | | | | | | | | | (273) ~ (all_22_14 = e20) | all_22_13 = e21
% 59.11/9.26 | | | | | | | | | | |
% 59.11/9.26 | | | | | | | | | | | BETA: splitting (273) gives:
% 59.11/9.26 | | | | | | | | | | |
% 59.11/9.26 | | | | | | | | | | | Case 1:
% 59.11/9.26 | | | | | | | | | | | |
% 59.11/9.26 | | | | | | | | | | | | (274) ~ (all_22_14 = e20)
% 59.11/9.26 | | | | | | | | | | | |
% 59.11/9.26 | | | | | | | | | | | | REDUCE: (54), (274) imply:
% 59.30/9.26 | | | | | | | | | | | | (275) ~ (all_4_1 = e20)
% 59.30/9.26 | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | BETA: splitting (63) gives:
% 59.30/9.26 | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | (276) all_18_11 = e23
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | COMBINE_EQS: (3), (276) imply:
% 59.30/9.26 | | | | | | | | | | | | | (277) all_14_14 = e23
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | SIMP: (277) implies:
% 59.30/9.26 | | | | | | | | | | | | | (278) all_14_14 = e23
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | COMBINE_EQS: (15), (278) imply:
% 59.30/9.26 | | | | | | | | | | | | | (279) all_22_13 = e23
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | COMBINE_EQS: (72), (278) imply:
% 59.30/9.26 | | | | | | | | | | | | | (280) all_26_11 = e23
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | REDUCE: (7), (278) imply:
% 59.30/9.26 | | | | | | | | | | | | | (281) ~ (all_4_1 = e23)
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | SIMP: (281) implies:
% 59.30/9.26 | | | | | | | | | | | | | (282) ~ (all_4_1 = e23)
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | REDUCE: (11), (278) imply:
% 59.30/9.26 | | | | | | | | | | | | | (283) ~ (e23 = e21)
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | REDUCE: (209), (278) imply:
% 59.30/9.26 | | | | | | | | | | | | | (284) ~ (e23 = e20)
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | BETA: splitting (32) gives:
% 59.30/9.26 | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | (285) all_26_4 = e20
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | COMBINE_EQS: (36), (285) imply:
% 59.30/9.26 | | | | | | | | | | | | | | (286) all_14_8 = e20
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | SIMP: (286) implies:
% 59.30/9.26 | | | | | | | | | | | | | | (287) all_14_8 = e20
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | COMBINE_EQS: (42), (287) imply:
% 59.30/9.26 | | | | | | | | | | | | | | (288) all_22_6 = e20
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | REDUCE: (58), (287) imply:
% 59.30/9.26 | | | | | | | | | | | | | | (289) ~ (all_14_11 = e20)
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | REDUCE: (24), (287) imply:
% 59.30/9.26 | | | | | | | | | | | | | | (290) ~ (all_4_1 = e20)
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 59.30/9.26 | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | (291) all_26_6 = e20
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | COMBINE_EQS: (188), (291) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | (292) e22 = e20
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | REDUCE: (194), (292) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | (293) $false
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | (294) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 59.30/9.26 | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | (295) all_26_7 = e20
% 59.30/9.26 | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (295) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | | (296) all_14_6 = e20
% 59.30/9.26 | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (296) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | | (297) all_22_4 = e20
% 59.30/9.26 | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | REDUCE: (67), (296) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | | (298) ~ (e23 = e20)
% 59.30/9.26 | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | (299) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (300) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e23) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e23))) | (all_22_1 = e21 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_14 = e23)))
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (29), (41), (50), (190), (194), (300) are
% 59.30/9.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (301) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_4 = e21 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_14 = e22)))
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (302) all_22_3 = e23 & ~ (all_22_10 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (87), (302) are inconsistent by sub-proof
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | #103.
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (303) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (304) all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (297), (304) are inconsistent by sub-proof
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | #70.
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (305) all_22_5 = e20 & ~ (all_22_12 = e22) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (183), (194), (305) are inconsistent by sub-proof
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | #82.
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | End of split
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | End of split
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | End of split
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | (306) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 59.30/9.26 | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (307) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_7 = e22 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e21)))
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (308) all_22_6 = e23 & ~ (all_22_10 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (288), (308) are inconsistent by sub-proof
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | #69.
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (309) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (310) all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (310) implies:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (311) ~ (all_22_14 = e21)
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (311) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (312) ~ (all_4_1 = e21)
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (79), (275), (282), (312) are inconsistent
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | by sub-proof #94.
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (313) all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21))
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (314) all_22_8 = e20
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (314) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (315) all_14_11 = e20
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | SIMP: (315) implies:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (316) all_14_11 = e20
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (316) imply:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | (317) $false
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | | End of split
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | End of split
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (318) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.30/9.26 | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | ~ (all_22_12 = e20)))
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 59.30/9.26 | | | | | | | | | | | | | | | | | |
% 59.30/9.26 | | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.26 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (319) all_22_9 = e23 & ~ (all_22_10 = e20) & ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 59.30/9.27 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (65), (319) are inconsistent by sub-proof
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | #98.
% 59.30/9.27 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (320) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.27 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (321) all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20))
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (21), (321) are inconsistent by sub-proof
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | #97.
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (322) all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20))
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (323) all_22_13 = e21
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (323) imply:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (324) e23 = e21
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (325) e23 = e21
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (283), (325) imply:
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | (326) $false
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | (327) all_26_8 = e20 | all_26_11 = e20
% 59.30/9.27 | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 59.30/9.27 | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | Case 1:
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | (328) all_26_8 = e20
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (328) imply:
% 59.30/9.27 | | | | | | | | | | | | | | | | | (329) all_4_1 = e20
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | REDUCE: (275), (329) imply:
% 59.30/9.27 | | | | | | | | | | | | | | | | | (330) $false
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | CLOSE: (330) is inconsistent.
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | (331) all_26_11 = e20
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (331) imply:
% 59.30/9.27 | | | | | | | | | | | | | | | | | (332) e23 = e20
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | SIMP: (332) implies:
% 59.30/9.27 | | | | | | | | | | | | | | | | | (333) e23 = e20
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | REDUCE: (284), (333) imply:
% 59.30/9.27 | | | | | | | | | | | | | | | | | (334) $false
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 59.30/9.27 | | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | (335) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 59.30/9.27 | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | | REF_CLOSE: (27), (49), (76), (194), (208), (275), (335) are
% 59.30/9.27 | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 59.30/9.27 | | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | (336) all_18_11 = e21 | all_18_11 = e20
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | REF_CLOSE: (3), (11), (209), (336) are inconsistent by
% 59.30/9.27 | | | | | | | | | | | | | sub-proof #91.
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | (337) all_22_13 = e21
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | COMBINE_EQS: (15), (337) imply:
% 59.30/9.27 | | | | | | | | | | | | (338) all_14_14 = e21
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | SIMP: (338) implies:
% 59.30/9.27 | | | | | | | | | | | | (339) all_14_14 = e21
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | REDUCE: (11), (339) imply:
% 59.30/9.27 | | | | | | | | | | | | (340) $false
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | |
% 59.30/9.27 | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | |
% 59.30/9.27 | | | | | | | | | (341) ~ (all_26_15 = e20)
% 59.30/9.27 | | | | | | | | |
% 59.30/9.27 | | | | | | | | | REDUCE: (88), (341) imply:
% 59.30/9.27 | | | | | | | | | (342) ~ (all_10_1 = e20)
% 59.30/9.27 | | | | | | | | |
% 59.30/9.27 | | | | | | | | | BETA: splitting (8) gives:
% 59.30/9.27 | | | | | | | | |
% 59.30/9.27 | | | | | | | | | Case 1:
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | (343) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0
% 59.30/9.27 | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 =
% 59.30/9.27 | | | | | | | | | | e21) & ( ~ (all_22_15 = e23) | all_22_2 = e20))
% 59.30/9.27 | | | | | | | | | | | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 59.30/9.27 | | | | | | | | | | all_22_3 = e23) & ( ~ (all_22_14 = e22) |
% 59.30/9.27 | | | | | | | | | | all_22_4 = e21) & ( ~ (all_22_15 = e22) |
% 59.30/9.27 | | | | | | | | | | all_22_5 = e20))
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | REF_CLOSE: (41), (65), (92), (194), (343) are inconsistent by
% 59.30/9.27 | | | | | | | | | | sub-proof #108.
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | (344) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 59.30/9.27 | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 =
% 59.30/9.27 | | | | | | | | | | e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20))
% 59.30/9.27 | | | | | | | | | | | (all_22_15 = e20 & ( ~ (all_22_10 = e20) |
% 59.30/9.27 | | | | | | | | | | all_22_9 = e23) & ( ~ (all_22_12 = e20) |
% 59.30/9.27 | | | | | | | | | | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 59.30/9.27 | | | | | | | | | | all_22_13 = e21))
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | BETA: splitting (344) gives:
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | Case 1:
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | (345) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6
% 59.30/9.27 | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e21) | all_22_7 = e22)
% 59.30/9.27 | | | | | | | | | | | & ( ~ (all_22_15 = e21) | all_22_8 = e20)
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | ALPHA: (345) implies:
% 59.30/9.27 | | | | | | | | | | | (346) all_22_14 = e21
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | COMBINE_EQS: (54), (346) imply:
% 59.30/9.27 | | | | | | | | | | | (347) all_4_1 = e21
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | SIMP: (347) implies:
% 59.30/9.27 | | | | | | | | | | | (348) all_4_1 = e21
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | REDUCE: (19), (348) imply:
% 59.30/9.27 | | | | | | | | | | | (349) ~ (all_14_6 = e21)
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | BETA: splitting (68) gives:
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | Case 1:
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | (350) all_18_15 = e23
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | COMBINE_EQS: (14), (350) imply:
% 59.30/9.27 | | | | | | | | | | | | (351) all_10_1 = e23
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | REDUCE: (83), (351) imply:
% 59.30/9.27 | | | | | | | | | | | | (352) ~ (all_14_14 = e23)
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | BETA: splitting (63) gives:
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | Case 1:
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | (353) all_18_11 = e23
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | REF_CLOSE: (3), (352), (353) are inconsistent by sub-proof
% 59.30/9.27 | | | | | | | | | | | | | #65.
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | (354) all_18_11 = e21 | all_18_11 = e20
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | | REF_CLOSE: (3), (11), (13), (37), (67), (199), (349), (354)
% 59.30/9.27 | | | | | | | | | | | | | are inconsistent by sub-proof #64.
% 59.30/9.27 | | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | (355) all_18_15 = e21 | all_18_15 = e20
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | | REF_CLOSE: (14), (55), (342), (355) are inconsistent by
% 59.30/9.27 | | | | | | | | | | | | sub-proof #63.
% 59.30/9.27 | | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | Case 2:
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | (356) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9
% 59.30/9.27 | | | | | | | | | | | = e23) & ( ~ (all_22_12 = e20) | all_22_11 =
% 59.30/9.27 | | | | | | | | | | | e22) & ( ~ (all_22_14 = e20) | all_22_13 = e21)
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | | REF_CLOSE: (23), (342), (356) are inconsistent by sub-proof
% 59.30/9.27 | | | | | | | | | | | #90.
% 59.30/9.27 | | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | | |
% 59.30/9.27 | | | | | | | | | End of split
% 59.30/9.27 | | | | | | | | |
% 59.30/9.27 | | | | | | | | End of split
% 59.30/9.27 | | | | | | | |
% 59.30/9.27 | | | | | | | End of split
% 59.30/9.27 | | | | | | |
% 59.30/9.27 | | | | | | End of split
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | Case 2:
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | | (357) all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | | REF_CLOSE: (9), (20), (49), (62), (72), (184), (357) are
% 59.30/9.27 | | | | | | inconsistent by sub-proof #61.
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | End of split
% 59.30/9.27 | | | | |
% 59.30/9.27 | | | | Case 2:
% 59.30/9.27 | | | | |
% 59.30/9.27 | | | | | (358) all_26_14 = e22 | all_26_15 = e22
% 59.30/9.27 | | | | |
% 59.30/9.27 | | | | | BETA: splitting (358) gives:
% 59.30/9.27 | | | | |
% 59.30/9.27 | | | | | Case 1:
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | | (359) all_26_14 = e22
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | | REF_CLOSE: (27), (30), (359) are inconsistent by sub-proof #60.
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | Case 2:
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | | (360) all_26_15 = e22
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | | REF_CLOSE: (53), (88), (360) are inconsistent by sub-proof #59.
% 59.30/9.27 | | | | | |
% 59.30/9.27 | | | | | End of split
% 59.30/9.27 | | | | |
% 59.30/9.27 | | | | End of split
% 59.30/9.27 | | | |
% 59.30/9.27 | | | End of split
% 59.30/9.27 | | |
% 59.30/9.27 | | End of split
% 59.30/9.27 | |
% 59.30/9.27 | End of split
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #59 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) all_26_15 = all_10_1
% 59.30/9.27 (2) all_26_15 = e22
% 59.30/9.27 (3) ~ (all_10_1 = e22)
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.27 | (4) all_10_1 = e22
% 59.30/9.27 |
% 59.30/9.27 | SIMP: (4) implies:
% 59.30/9.27 | (5) all_10_1 = e22
% 59.30/9.27 |
% 59.30/9.27 | REDUCE: (3), (5) imply:
% 59.30/9.27 | (6) $false
% 59.30/9.27 |
% 59.30/9.27 | CLOSE: (6) is inconsistent.
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #60 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) all_26_14 = all_14_11
% 59.30/9.27 (2) all_26_14 = e22
% 59.30/9.27 (3) ~ (all_14_11 = e22)
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.27 | (4) all_14_11 = e22
% 59.30/9.27 |
% 59.30/9.27 | SIMP: (4) implies:
% 59.30/9.27 | (5) all_14_11 = e22
% 59.30/9.27 |
% 59.30/9.27 | REDUCE: (3), (5) imply:
% 59.30/9.27 | (6) $false
% 59.30/9.27 |
% 59.30/9.27 | CLOSE: (6) is inconsistent.
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #61 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) ~ (all_14_6 = e22)
% 59.30/9.27 (2) all_26_7 = all_14_6
% 59.30/9.27 (3) ~ (all_4_1 = e22)
% 59.30/9.27 (4) all_26_8 = all_4_1
% 59.30/9.27 (5) ~ (all_14_14 = e22)
% 59.30/9.27 (6) all_26_11 = all_14_14
% 59.30/9.27 (7) all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | BETA: splitting (7) gives:
% 59.30/9.27 |
% 59.30/9.27 | Case 1:
% 59.30/9.27 | |
% 59.30/9.27 | | (8) all_26_7 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | COMBINE_EQS: (2), (8) imply:
% 59.30/9.27 | | (9) all_14_6 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | REDUCE: (1), (9) imply:
% 59.30/9.27 | | (10) $false
% 59.30/9.27 | |
% 59.30/9.27 | | CLOSE: (10) is inconsistent.
% 59.30/9.27 | |
% 59.30/9.27 | Case 2:
% 59.30/9.27 | |
% 59.30/9.27 | | (11) all_26_8 = e22 | all_26_11 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | REF_CLOSE: (3), (4), (5), (6), (11) are inconsistent by sub-proof #62.
% 59.30/9.27 | |
% 59.30/9.27 | End of split
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #62 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) ~ (all_4_1 = e22)
% 59.30/9.27 (2) all_26_8 = all_4_1
% 59.30/9.27 (3) ~ (all_14_14 = e22)
% 59.30/9.27 (4) all_26_11 = all_14_14
% 59.30/9.27 (5) all_26_8 = e22 | all_26_11 = e22
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | BETA: splitting (5) gives:
% 59.30/9.27 |
% 59.30/9.27 | Case 1:
% 59.30/9.27 | |
% 59.30/9.27 | | (6) all_26_8 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | COMBINE_EQS: (2), (6) imply:
% 59.30/9.27 | | (7) all_4_1 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | REDUCE: (1), (7) imply:
% 59.30/9.27 | | (8) $false
% 59.30/9.27 | |
% 59.30/9.27 | | CLOSE: (8) is inconsistent.
% 59.30/9.27 | |
% 59.30/9.27 | Case 2:
% 59.30/9.27 | |
% 59.30/9.27 | | (9) all_26_11 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | COMBINE_EQS: (4), (9) imply:
% 59.30/9.27 | | (10) all_14_14 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | SIMP: (10) implies:
% 59.30/9.27 | | (11) all_14_14 = e22
% 59.30/9.27 | |
% 59.30/9.27 | | REDUCE: (3), (11) imply:
% 59.30/9.27 | | (12) $false
% 59.30/9.27 | |
% 59.30/9.27 | | CLOSE: (12) is inconsistent.
% 59.30/9.27 | |
% 59.30/9.27 | End of split
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #63 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) all_18_15 = e21 | all_18_15 = e20
% 59.30/9.27 (2) all_18_15 = all_10_1
% 59.30/9.27 (3) ~ (all_10_1 = e21)
% 59.30/9.27 (4) ~ (all_10_1 = e20)
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | BETA: splitting (1) gives:
% 59.30/9.27 |
% 59.30/9.27 | Case 1:
% 59.30/9.27 | |
% 59.30/9.27 | | (5) all_18_15 = e21
% 59.30/9.27 | |
% 59.30/9.27 | | COMBINE_EQS: (2), (5) imply:
% 59.30/9.27 | | (6) all_10_1 = e21
% 59.30/9.27 | |
% 59.30/9.27 | | REDUCE: (3), (6) imply:
% 59.30/9.27 | | (7) $false
% 59.30/9.27 | |
% 59.30/9.27 | | CLOSE: (7) is inconsistent.
% 59.30/9.27 | |
% 59.30/9.27 | Case 2:
% 59.30/9.27 | |
% 59.30/9.27 | | (8) all_18_15 = e20
% 59.30/9.27 | |
% 59.30/9.27 | | COMBINE_EQS: (2), (8) imply:
% 59.30/9.27 | | (9) all_10_1 = e20
% 59.30/9.27 | |
% 59.30/9.27 | | REDUCE: (4), (9) imply:
% 59.30/9.27 | | (10) $false
% 59.30/9.27 | |
% 59.30/9.27 | | CLOSE: (10) is inconsistent.
% 59.30/9.27 | |
% 59.30/9.27 | End of split
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #64 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) all_18_11 = all_14_14
% 59.30/9.27 (2) ~ (all_14_14 = e21)
% 59.30/9.27 (3) all_18_9 = all_14_6
% 59.30/9.27 (4) ~ (all_14_6 = all_14_14)
% 59.30/9.27 (5) all_18_9 = e23 | all_18_9 = e21 | all_18_9 = e20
% 59.30/9.27 (6) ~ (all_14_6 = e23)
% 59.30/9.27 (7) all_18_11 = e21 | all_18_11 = e20
% 59.30/9.27 (8) ~ (all_14_6 = e21)
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | BETA: splitting (5) gives:
% 59.30/9.27 |
% 59.30/9.27 | Case 1:
% 59.30/9.27 | |
% 59.30/9.27 | | (9) all_18_9 = e23
% 59.30/9.27 | |
% 59.30/9.27 | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #74.
% 59.30/9.27 | |
% 59.30/9.27 | Case 2:
% 59.30/9.27 | |
% 59.30/9.27 | | (10) all_18_9 = e21 | all_18_9 = e20
% 59.30/9.27 | |
% 59.30/9.27 | | BETA: splitting (10) gives:
% 59.30/9.27 | |
% 59.30/9.27 | | Case 1:
% 59.30/9.27 | | |
% 59.30/9.27 | | | (11) all_18_9 = e21
% 59.30/9.27 | | |
% 59.30/9.27 | | | REF_CLOSE: (3), (8), (11) are inconsistent by sub-proof #73.
% 59.30/9.27 | | |
% 59.30/9.27 | | Case 2:
% 59.30/9.27 | | |
% 59.30/9.27 | | | (12) all_18_9 = e20
% 59.30/9.27 | | |
% 59.30/9.27 | | | COMBINE_EQS: (3), (12) imply:
% 59.30/9.27 | | | (13) all_14_6 = e20
% 59.30/9.27 | | |
% 59.30/9.27 | | | SIMP: (13) implies:
% 59.30/9.27 | | | (14) all_14_6 = e20
% 59.30/9.27 | | |
% 59.30/9.27 | | | REDUCE: (4), (14) imply:
% 59.30/9.27 | | | (15) ~ (all_14_14 = e20)
% 59.30/9.27 | | |
% 59.30/9.27 | | | SIMP: (15) implies:
% 59.30/9.27 | | | (16) ~ (all_14_14 = e20)
% 59.30/9.27 | | |
% 59.30/9.27 | | | REF_CLOSE: (1), (2), (7), (16) are inconsistent by sub-proof #91.
% 59.30/9.27 | | |
% 59.30/9.27 | | End of split
% 59.30/9.27 | |
% 59.30/9.27 | End of split
% 59.30/9.27 |
% 59.30/9.27 End of proof
% 59.30/9.27
% 59.30/9.27 Sub-proof #65 shows that the following formulas are inconsistent:
% 59.30/9.27 ----------------------------------------------------------------
% 59.30/9.27 (1) all_18_11 = all_14_14
% 59.30/9.27 (2) all_18_11 = e23
% 59.30/9.27 (3) ~ (all_14_14 = e23)
% 59.30/9.27
% 59.30/9.27 Begin of proof
% 59.30/9.27 |
% 59.30/9.27 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.28 | (4) all_14_14 = e23
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (4) implies:
% 59.30/9.28 | (5) all_14_14 = e23
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #66 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 59.30/9.28 (2) all_26_14 = all_14_11
% 59.30/9.28 (3) ~ (e22 = e20)
% 59.30/9.28 (4) all_26_8 = all_4_1
% 59.30/9.28 (5) ~ (all_14_11 = e20)
% 59.30/9.28 (6) ~ (all_4_1 = e20)
% 59.30/9.28 (7) all_26_5 = e22
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | BETA: splitting (1) gives:
% 59.30/9.28 |
% 59.30/9.28 | Case 1:
% 59.30/9.28 | |
% 59.30/9.28 | | (8) all_26_5 = e20
% 59.30/9.28 | |
% 59.30/9.28 | | REF_CLOSE: (3), (7), (8) are inconsistent by sub-proof #68.
% 59.30/9.28 | |
% 59.30/9.28 | Case 2:
% 59.30/9.28 | |
% 59.30/9.28 | | (9) all_26_8 = e20 | all_26_14 = e20
% 59.30/9.28 | |
% 59.30/9.28 | | BETA: splitting (9) gives:
% 59.30/9.28 | |
% 59.30/9.28 | | Case 1:
% 59.30/9.28 | | |
% 59.30/9.28 | | | (10) all_26_8 = e20
% 59.30/9.28 | | |
% 59.30/9.28 | | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #67.
% 59.30/9.28 | | |
% 59.30/9.28 | | Case 2:
% 59.30/9.28 | | |
% 59.30/9.28 | | | (11) all_26_14 = e20
% 59.30/9.28 | | |
% 59.30/9.28 | | | COMBINE_EQS: (2), (11) imply:
% 59.30/9.28 | | | (12) all_14_11 = e20
% 59.30/9.28 | | |
% 59.30/9.28 | | | SIMP: (12) implies:
% 59.30/9.28 | | | (13) all_14_11 = e20
% 59.30/9.28 | | |
% 59.30/9.28 | | | REDUCE: (5), (13) imply:
% 59.30/9.28 | | | (14) $false
% 59.30/9.28 | | |
% 59.30/9.28 | | | CLOSE: (14) is inconsistent.
% 59.30/9.28 | | |
% 59.30/9.28 | | End of split
% 59.30/9.28 | |
% 59.30/9.28 | End of split
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #67 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_26_8 = all_4_1
% 59.30/9.28 (2) all_26_8 = e20
% 59.30/9.28 (3) ~ (all_4_1 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.28 | (4) all_4_1 = e20
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (4) implies:
% 59.30/9.28 | (5) all_4_1 = e20
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #68 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_26_5 = e22
% 59.30/9.28 (2) all_26_5 = e20
% 59.30/9.28 (3) ~ (e22 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.28 | (4) e22 = e20
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (4) implies:
% 59.30/9.28 | (5) e22 = e20
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #69 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.28 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.28 (all_22_15 = e21))
% 59.30/9.28 (2) all_22_6 = e20
% 59.30/9.28 (3) ~ (e23 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | ALPHA: (1) implies:
% 59.30/9.28 | (4) all_22_6 = e23
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.28 | (5) e23 = e20
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #70 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 59.30/9.28 (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.28 (all_22_15 = e22))
% 59.30/9.28 (2) all_22_4 = e20
% 59.30/9.28 (3) ~ (e21 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | ALPHA: (1) implies:
% 59.30/9.28 | (4) all_22_4 = e21
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.28 | (5) e21 = e20
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #71 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_22_1 = e22
% 59.30/9.28 (2) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.30/9.28 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.28 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.30/9.28 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.30/9.28 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.30/9.28 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.30/9.28 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 59.30/9.28 (3) ~ (e22 = e21)
% 59.30/9.28 (4) all_22_2 = all_14_3
% 59.30/9.28 (5) ~ (e22 = e20)
% 59.30/9.28 (6) all_22_0 = e20
% 59.30/9.28 (7) ~ (all_14_3 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | BETA: splitting (2) gives:
% 59.30/9.28 |
% 59.30/9.28 | Case 1:
% 59.30/9.28 | |
% 59.30/9.28 | | (8) all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.30/9.28 | | (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) |
% 59.30/9.28 | | ~ (all_22_15 = e23))
% 59.30/9.28 | |
% 59.30/9.28 | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #106.
% 59.30/9.28 | |
% 59.30/9.28 | Case 2:
% 59.30/9.28 | |
% 59.30/9.28 | | (9) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.28 | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) |
% 59.30/9.28 | | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~ (all_22_10 = e23) &
% 59.30/9.28 | | ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23))
% 59.30/9.28 | | & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 59.30/9.28 | |
% 59.30/9.28 | | BETA: splitting (9) gives:
% 59.30/9.28 | |
% 59.30/9.28 | | Case 1:
% 59.30/9.28 | | |
% 59.30/9.28 | | | (10) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.28 | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20)
% 59.30/9.28 | | | | ~ (all_22_15 = e23))
% 59.30/9.28 | | |
% 59.30/9.28 | | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #86.
% 59.30/9.28 | | |
% 59.30/9.28 | | Case 2:
% 59.30/9.28 | | |
% 59.30/9.28 | | | (11) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 59.30/9.28 | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21)
% 59.30/9.28 | | | | ~ (all_22_14 = e23))
% 59.30/9.28 | | |
% 59.30/9.28 | | | REF_CLOSE: (4), (7), (11) are inconsistent by sub-proof #72.
% 59.30/9.28 | | |
% 59.30/9.28 | | End of split
% 59.30/9.28 | |
% 59.30/9.28 | End of split
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #72 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 59.30/9.28 (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.28 (all_22_14 = e23))
% 59.30/9.28 (2) all_22_2 = all_14_3
% 59.30/9.28 (3) ~ (all_14_3 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | ALPHA: (1) implies:
% 59.30/9.28 | (4) all_22_2 = e20
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.28 | (5) all_14_3 = e20
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (5) implies:
% 59.30/9.28 | (6) all_14_3 = e20
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (6) imply:
% 59.30/9.28 | (7) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (7) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #73 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_18_9 = all_14_6
% 59.30/9.28 (2) all_18_9 = e21
% 59.30/9.28 (3) ~ (all_14_6 = e21)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.28 | (4) all_14_6 = e21
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (4) implies:
% 59.30/9.28 | (5) all_14_6 = e21
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #74 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_18_9 = all_14_6
% 59.30/9.28 (2) all_18_9 = e23
% 59.30/9.28 (3) ~ (all_14_6 = e23)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.28 | (4) all_14_6 = e23
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (4) implies:
% 59.30/9.28 | (5) all_14_6 = e23
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #75 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_18_14 = e21 | all_18_14 = e20
% 59.30/9.28 (2) all_18_14 = all_14_11
% 59.30/9.28 (3) ~ (all_14_11 = e21)
% 59.30/9.28 (4) ~ (all_14_11 = e20)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | BETA: splitting (1) gives:
% 59.30/9.28 |
% 59.30/9.28 | Case 1:
% 59.30/9.28 | |
% 59.30/9.28 | | (5) all_18_14 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | COMBINE_EQS: (2), (5) imply:
% 59.30/9.28 | | (6) all_14_11 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | REDUCE: (3), (6) imply:
% 59.30/9.28 | | (7) $false
% 59.30/9.28 | |
% 59.30/9.28 | | CLOSE: (7) is inconsistent.
% 59.30/9.28 | |
% 59.30/9.28 | Case 2:
% 59.30/9.28 | |
% 59.30/9.28 | | (8) all_18_14 = e20
% 59.30/9.28 | |
% 59.30/9.28 | | COMBINE_EQS: (2), (8) imply:
% 59.30/9.28 | | (9) all_14_11 = e20
% 59.30/9.28 | |
% 59.30/9.28 | | REDUCE: (4), (9) imply:
% 59.30/9.28 | | (10) $false
% 59.30/9.28 | |
% 59.30/9.28 | | CLOSE: (10) is inconsistent.
% 59.30/9.28 | |
% 59.30/9.28 | End of split
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #76 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_26_14 = e23
% 59.30/9.28 (2) ~ (e21 = e20)
% 59.30/9.28 (3) ~ (e22 = e21)
% 59.30/9.28 (4) ~ (e23 = e21)
% 59.30/9.28 (5) all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 59.30/9.28 (6) all_26_13 = e22
% 59.30/9.28 (7) all_26_15 = e20
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | BETA: splitting (5) gives:
% 59.30/9.28 |
% 59.30/9.28 | Case 1:
% 59.30/9.28 | |
% 59.30/9.28 | | (8) all_26_13 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #78.
% 59.30/9.28 | |
% 59.30/9.28 | Case 2:
% 59.30/9.28 | |
% 59.30/9.28 | | (9) all_26_14 = e21 | all_26_15 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | REF_CLOSE: (1), (2), (4), (7), (9) are inconsistent by sub-proof #77.
% 59.30/9.28 | |
% 59.30/9.28 | End of split
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #77 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_26_14 = e23
% 59.30/9.28 (2) ~ (e21 = e20)
% 59.30/9.28 (3) ~ (e23 = e21)
% 59.30/9.28 (4) all_26_14 = e21 | all_26_15 = e21
% 59.30/9.28 (5) all_26_15 = e20
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | BETA: splitting (4) gives:
% 59.30/9.28 |
% 59.30/9.28 | Case 1:
% 59.30/9.28 | |
% 59.30/9.28 | | (6) all_26_14 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | COMBINE_EQS: (1), (6) imply:
% 59.30/9.28 | | (7) e23 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | SIMP: (7) implies:
% 59.30/9.28 | | (8) e23 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | REDUCE: (3), (8) imply:
% 59.30/9.28 | | (9) $false
% 59.30/9.28 | |
% 59.30/9.28 | | CLOSE: (9) is inconsistent.
% 59.30/9.28 | |
% 59.30/9.28 | Case 2:
% 59.30/9.28 | |
% 59.30/9.28 | | (10) all_26_15 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | COMBINE_EQS: (5), (10) imply:
% 59.30/9.28 | | (11) e21 = e20
% 59.30/9.28 | |
% 59.30/9.28 | | REDUCE: (2), (11) imply:
% 59.30/9.28 | | (12) $false
% 59.30/9.28 | |
% 59.30/9.28 | | CLOSE: (12) is inconsistent.
% 59.30/9.28 | |
% 59.30/9.28 | End of split
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #78 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_26_13 = e22
% 59.30/9.28 (2) all_26_13 = e21
% 59.30/9.28 (3) ~ (e22 = e21)
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.28 | (4) e22 = e21
% 59.30/9.28 |
% 59.30/9.28 | SIMP: (4) implies:
% 59.30/9.28 | (5) e22 = e21
% 59.30/9.28 |
% 59.30/9.28 | REDUCE: (3), (5) imply:
% 59.30/9.28 | (6) $false
% 59.30/9.28 |
% 59.30/9.28 | CLOSE: (6) is inconsistent.
% 59.30/9.28 |
% 59.30/9.28 End of proof
% 59.30/9.28
% 59.30/9.28 Sub-proof #79 shows that the following formulas are inconsistent:
% 59.30/9.28 ----------------------------------------------------------------
% 59.30/9.28 (1) all_22_11 = e21
% 59.30/9.28 (2) ~ (all_14_14 = e21)
% 59.30/9.28 (3) all_22_13 = all_14_14
% 59.30/9.28 (4) ~ (e22 = e21)
% 59.30/9.28 (5) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.28 (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 59.30/9.28 (all_22_14 = e20))) | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~
% 59.30/9.28 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.30/9.28 (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.28
% 59.30/9.28 Begin of proof
% 59.30/9.28 |
% 59.30/9.28 | BETA: splitting (5) gives:
% 59.30/9.28 |
% 59.30/9.28 | Case 1:
% 59.30/9.28 | |
% 59.30/9.28 | | (6) all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.28 | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) |
% 59.30/9.28 | | ~ (all_22_14 = e20))
% 59.30/9.28 | |
% 59.30/9.28 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #97.
% 59.30/9.28 | |
% 59.30/9.28 | Case 2:
% 59.30/9.28 | |
% 59.30/9.28 | | (7) all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.28 | | (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_11 = e22) |
% 59.30/9.28 | | ~ (all_22_12 = e20))
% 59.30/9.28 | |
% 59.30/9.28 | | ALPHA: (7) implies:
% 59.30/9.28 | | (8) all_22_13 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | COMBINE_EQS: (3), (8) imply:
% 59.30/9.28 | | (9) all_14_14 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | SIMP: (9) implies:
% 59.30/9.28 | | (10) all_14_14 = e21
% 59.30/9.28 | |
% 59.30/9.28 | | REDUCE: (2), (10) imply:
% 59.30/9.29 | | (11) $false
% 59.30/9.29 | |
% 59.30/9.29 | | CLOSE: (11) is inconsistent.
% 59.30/9.29 | |
% 59.30/9.29 | End of split
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #80 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_8 = e20 & ~ (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~
% 59.30/9.29 (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.29 (all_22_12 = e21))
% 59.30/9.29 (2) all_22_8 = e23
% 59.30/9.29 (3) ~ (e23 = e20)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_8 = e20
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) e23 = e20
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) e23 = e20
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #81 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.29 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.29 (all_22_15 = e21))
% 59.30/9.29 (2) all_22_6 = all_14_8
% 59.30/9.29 (3) ~ (all_14_8 = e23)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_6 = e23
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) all_14_8 = e23
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) all_14_8 = e23
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #82 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~
% 59.30/9.29 (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~
% 59.30/9.29 (all_22_14 = e22))
% 59.30/9.29 (2) all_22_5 = e22
% 59.30/9.29 (3) ~ (e22 = e20)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_5 = e20
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) e22 = e20
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) e22 = e20
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #83 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 59.30/9.29 (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.29 (all_22_15 = e22))
% 59.30/9.29 (2) all_22_4 = all_14_6
% 59.30/9.29 (3) ~ (all_14_6 = e21)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_4 = e21
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) all_14_6 = e21
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) all_14_6 = e21
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #84 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.30/9.29 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.29 (all_22_15 = e22))
% 59.30/9.29 (2) all_22_3 = e21
% 59.30/9.29 (3) ~ (e23 = e21)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_3 = e23
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) e23 = e21
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (5) imply:
% 59.30/9.29 | (6) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (6) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #85 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 59.30/9.29 (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.29 (all_22_14 = e23))
% 59.30/9.29 (2) all_22_2 = e21
% 59.30/9.29 (3) ~ (e21 = e20)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_2 = e20
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) e21 = e20
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) e21 = e20
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #86 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.29 (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.29 (all_22_15 = e23))
% 59.30/9.29 (2) all_22_1 = e22
% 59.30/9.29 (3) ~ (e22 = e21)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_1 = e21
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) e22 = e21
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) e22 = e21
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #87 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_26_12 = all_14_3
% 59.30/9.29 (2) all_26_12 = e22
% 59.30/9.29 (3) ~ (all_14_3 = e22)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.29 | (4) all_14_3 = e22
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (4) implies:
% 59.30/9.29 | (5) all_14_3 = e22
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (5) imply:
% 59.30/9.29 | (6) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (6) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #88 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_26_13 = all_14_7
% 59.30/9.29 (2) all_26_13 = e22
% 59.30/9.29 (3) ~ (all_14_7 = e22)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.29 | (4) all_14_7 = e22
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (4) implies:
% 59.30/9.29 | (5) all_14_7 = e22
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (5) imply:
% 59.30/9.29 | (6) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (6) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #89 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_26_1 = all_14_4
% 59.30/9.29 (2) all_26_1 = e22
% 59.30/9.29 (3) ~ (all_14_4 = e22)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.29 | (4) all_14_4 = e22
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (4) implies:
% 59.30/9.29 | (5) all_14_4 = e22
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (5) imply:
% 59.30/9.29 | (6) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (6) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #90 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~
% 59.30/9.29 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) |
% 59.30/9.29 all_22_13 = e21)
% 59.30/9.29 (2) all_22_15 = all_10_1
% 59.30/9.29 (3) ~ (all_10_1 = e20)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | ALPHA: (1) implies:
% 59.30/9.29 | (4) all_22_15 = e20
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.29 | (5) all_10_1 = e20
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (5) implies:
% 59.30/9.29 | (6) all_10_1 = e20
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (6) imply:
% 59.30/9.29 | (7) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (7) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #91 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_18_11 = e21 | all_18_11 = e20
% 59.30/9.29 (2) all_18_11 = all_14_14
% 59.30/9.29 (3) ~ (all_14_14 = e21)
% 59.30/9.29 (4) ~ (all_14_14 = e20)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | BETA: splitting (1) gives:
% 59.30/9.29 |
% 59.30/9.29 | Case 1:
% 59.30/9.29 | |
% 59.30/9.29 | | (5) all_18_11 = e21
% 59.30/9.29 | |
% 59.30/9.29 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #92.
% 59.30/9.29 | |
% 59.30/9.29 | Case 2:
% 59.30/9.29 | |
% 59.30/9.29 | | (6) all_18_11 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | COMBINE_EQS: (2), (6) imply:
% 59.30/9.29 | | (7) all_14_14 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | SIMP: (7) implies:
% 59.30/9.29 | | (8) all_14_14 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | REDUCE: (4), (8) imply:
% 59.30/9.29 | | (9) $false
% 59.30/9.29 | |
% 59.30/9.29 | | CLOSE: (9) is inconsistent.
% 59.30/9.29 | |
% 59.30/9.29 | End of split
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #92 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_18_11 = all_14_14
% 59.30/9.29 (2) all_18_11 = e21
% 59.30/9.29 (3) ~ (all_14_14 = e21)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.29 | (4) all_14_14 = e21
% 59.30/9.29 |
% 59.30/9.29 | SIMP: (4) implies:
% 59.30/9.29 | (5) all_14_14 = e21
% 59.30/9.29 |
% 59.30/9.29 | REDUCE: (3), (5) imply:
% 59.30/9.29 | (6) $false
% 59.30/9.29 |
% 59.30/9.29 | CLOSE: (6) is inconsistent.
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #93 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_18_8 = e23 | all_18_8 = e21 | all_18_8 = e20
% 59.30/9.29 (2) ~ (all_14_2 = e20)
% 59.30/9.29 (3) ~ (all_14_2 = all_4_1)
% 59.30/9.29 (4) ~ (all_4_1 = e23)
% 59.30/9.29 (5) all_18_8 = all_14_2
% 59.30/9.29 (6) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 59.30/9.29 (7) ~ (all_4_1 = e20)
% 59.30/9.29 (8) all_18_10 = all_4_1
% 59.30/9.29 (9) ~ (all_14_2 = e23)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | BETA: splitting (1) gives:
% 59.30/9.29 |
% 59.30/9.29 | Case 1:
% 59.30/9.29 | |
% 59.30/9.29 | | (10) all_18_8 = e23
% 59.30/9.29 | |
% 59.30/9.29 | | COMBINE_EQS: (5), (10) imply:
% 59.30/9.29 | | (11) all_14_2 = e23
% 59.30/9.29 | |
% 59.30/9.29 | | SIMP: (11) implies:
% 59.30/9.29 | | (12) all_14_2 = e23
% 59.30/9.29 | |
% 59.30/9.29 | | REDUCE: (9), (12) imply:
% 59.30/9.29 | | (13) $false
% 59.30/9.29 | |
% 59.30/9.29 | | CLOSE: (13) is inconsistent.
% 59.30/9.29 | |
% 59.30/9.29 | Case 2:
% 59.30/9.29 | |
% 59.30/9.29 | | (14) all_18_8 = e21 | all_18_8 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | BETA: splitting (14) gives:
% 59.30/9.29 | |
% 59.30/9.29 | | Case 1:
% 59.30/9.29 | | |
% 59.30/9.29 | | | (15) all_18_8 = e21
% 59.30/9.29 | | |
% 59.30/9.29 | | | COMBINE_EQS: (5), (15) imply:
% 59.30/9.29 | | | (16) all_14_2 = e21
% 59.30/9.29 | | |
% 59.30/9.29 | | | SIMP: (16) implies:
% 59.30/9.29 | | | (17) all_14_2 = e21
% 59.30/9.29 | | |
% 59.30/9.29 | | | REDUCE: (3), (17) imply:
% 59.30/9.29 | | | (18) ~ (all_4_1 = e21)
% 59.30/9.29 | | |
% 59.30/9.29 | | | SIMP: (18) implies:
% 59.30/9.29 | | | (19) ~ (all_4_1 = e21)
% 59.30/9.29 | | |
% 59.30/9.29 | | | REF_CLOSE: (4), (6), (7), (8), (19) are inconsistent by sub-proof #94.
% 59.30/9.29 | | |
% 59.30/9.29 | | Case 2:
% 59.30/9.29 | | |
% 59.30/9.29 | | | (20) all_18_8 = e20
% 59.30/9.29 | | |
% 59.30/9.29 | | | COMBINE_EQS: (5), (20) imply:
% 59.30/9.29 | | | (21) all_14_2 = e20
% 59.30/9.29 | | |
% 59.30/9.29 | | | SIMP: (21) implies:
% 59.30/9.29 | | | (22) all_14_2 = e20
% 59.30/9.29 | | |
% 59.30/9.29 | | | REDUCE: (2), (22) imply:
% 59.30/9.29 | | | (23) $false
% 59.30/9.29 | | |
% 59.30/9.29 | | | CLOSE: (23) is inconsistent.
% 59.30/9.29 | | |
% 59.30/9.29 | | End of split
% 59.30/9.29 | |
% 59.30/9.29 | End of split
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #94 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) ~ (all_4_1 = e23)
% 59.30/9.29 (2) ~ (all_4_1 = e21)
% 59.30/9.29 (3) all_18_10 = e23 | all_18_10 = e21 | all_18_10 = e20
% 59.30/9.29 (4) ~ (all_4_1 = e20)
% 59.30/9.29 (5) all_18_10 = all_4_1
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | BETA: splitting (3) gives:
% 59.30/9.29 |
% 59.30/9.29 | Case 1:
% 59.30/9.29 | |
% 59.30/9.29 | | (6) all_18_10 = e23
% 59.30/9.29 | |
% 59.30/9.29 | | COMBINE_EQS: (5), (6) imply:
% 59.30/9.29 | | (7) all_4_1 = e23
% 59.30/9.29 | |
% 59.30/9.29 | | SIMP: (7) implies:
% 59.30/9.29 | | (8) all_4_1 = e23
% 59.30/9.29 | |
% 59.30/9.29 | | REDUCE: (1), (8) imply:
% 59.30/9.29 | | (9) $false
% 59.30/9.29 | |
% 59.30/9.29 | | CLOSE: (9) is inconsistent.
% 59.30/9.29 | |
% 59.30/9.29 | Case 2:
% 59.30/9.29 | |
% 59.30/9.29 | | (10) all_18_10 = e21 | all_18_10 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #95.
% 59.30/9.29 | |
% 59.30/9.29 | End of split
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #95 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_18_10 = e21 | all_18_10 = e20
% 59.30/9.29 (2) all_18_10 = all_4_1
% 59.30/9.29 (3) ~ (all_4_1 = e21)
% 59.30/9.29 (4) ~ (all_4_1 = e20)
% 59.30/9.29
% 59.30/9.29 Begin of proof
% 59.30/9.29 |
% 59.30/9.29 | BETA: splitting (1) gives:
% 59.30/9.29 |
% 59.30/9.29 | Case 1:
% 59.30/9.29 | |
% 59.30/9.29 | | (5) all_18_10 = e21
% 59.30/9.29 | |
% 59.30/9.29 | | COMBINE_EQS: (2), (5) imply:
% 59.30/9.29 | | (6) all_4_1 = e21
% 59.30/9.29 | |
% 59.30/9.29 | | SIMP: (6) implies:
% 59.30/9.29 | | (7) all_4_1 = e21
% 59.30/9.29 | |
% 59.30/9.29 | | REDUCE: (3), (7) imply:
% 59.30/9.29 | | (8) $false
% 59.30/9.29 | |
% 59.30/9.29 | | CLOSE: (8) is inconsistent.
% 59.30/9.29 | |
% 59.30/9.29 | Case 2:
% 59.30/9.29 | |
% 59.30/9.29 | | (9) all_18_10 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | COMBINE_EQS: (2), (9) imply:
% 59.30/9.29 | | (10) all_4_1 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | SIMP: (10) implies:
% 59.30/9.29 | | (11) all_4_1 = e20
% 59.30/9.29 | |
% 59.30/9.29 | | REDUCE: (4), (11) imply:
% 59.30/9.29 | | (12) $false
% 59.30/9.29 | |
% 59.30/9.29 | | CLOSE: (12) is inconsistent.
% 59.30/9.29 | |
% 59.30/9.29 | End of split
% 59.30/9.29 |
% 59.30/9.29 End of proof
% 59.30/9.29
% 59.30/9.29 Sub-proof #96 shows that the following formulas are inconsistent:
% 59.30/9.29 ----------------------------------------------------------------
% 59.30/9.29 (1) all_22_11 = e21
% 59.30/9.29 (2) ~ (all_14_14 = e21)
% 59.30/9.29 (3) all_22_14 = e21
% 59.30/9.29 (4) all_22_13 = all_14_14
% 59.30/9.29 (5) all_26_8 = e21
% 59.30/9.29 (6) ~ (e21 = e20)
% 59.30/9.29 (7) ~ (all_14_2 = e20)
% 59.30/9.29 (8) ~ (e22 = e21)
% 59.30/9.29 (9) all_26_7 = e22
% 59.30/9.29 (10) all_22_9 = e22
% 59.30/9.29 (11) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 59.30/9.29 (12) ~ (all_14_4 = all_8_1)
% 59.30/9.29 (13) ~ (e22 = e20)
% 59.30/9.30 (14) all_22_0 = e20
% 59.30/9.30 (15) all_26_12 = e22
% 59.30/9.30 (16) all_22_3 = all_14_4
% 59.30/9.30 (17) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.30/9.30 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.30 (all_22_15 = e23))) | (all_22_1 = e21 & ~ (all_22_10 = e23) & ~
% 59.30/9.30 (all_22_14 = e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~
% 59.30/9.30 (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.30/9.30 (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 = e22) | ~
% 59.30/9.30 (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))) |
% 59.30/9.30 (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.30/9.30 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.30 (all_22_15 = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.30/9.30 (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.30/9.30 (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.30/9.30 (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 = e23) | ~
% 59.30/9.30 (all_22_10 = e22)) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))) |
% 59.30/9.30 (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.30 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.30 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.30/9.30 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.30/9.30 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.30/9.30 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.30 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21))) |
% 59.30/9.30 (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.30 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) |
% 59.30/9.30 ~ (all_22_14 = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.30/9.30 (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.30/9.30 (all_22_13 = e21) | ~ (all_22_14 = e20))) | (all_22_13 = e21 & ~
% 59.30/9.30 (all_22_14 = e20) & ~ (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~
% 59.30/9.30 (all_22_10 = e20)) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.30 (18) all_18_1 = all_14_4
% 59.30/9.30 (19) ~ (all_14_4 = all_14_7)
% 59.30/9.30 (20) ~ (all_14_14 = e22)
% 59.30/9.30 (21) all_18_1 = e23 | all_18_1 = e21 | all_18_1 = e20
% 59.30/9.30 (22) ~ (e23 = e22)
% 59.30/9.30 (23) all_22_4 = e22
% 59.30/9.30 (24) all_26_11 = all_14_14
% 59.30/9.30 (25) all_22_5 = all_14_7
% 59.30/9.30 (26) all_26_2 = e20
% 59.30/9.30 (27) all_22_1 = all_14_2
% 59.30/9.30 (28) all_22_2 = e22
% 59.30/9.30 (29) ~ (all_14_2 = e21)
% 59.30/9.30 (30) all_26_6 = all_14_2
% 59.30/9.30 (31) all_26_0 = all_8_1
% 59.30/9.30 (32) ~ (all_14_4 = e23)
% 59.30/9.30 (33) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 59.30/9.30
% 59.30/9.30 Begin of proof
% 59.30/9.30 |
% 59.30/9.30 | BETA: splitting (33) gives:
% 59.30/9.30 |
% 59.30/9.30 | Case 1:
% 59.30/9.30 | |
% 59.30/9.30 | | (34) all_26_6 = e20
% 59.30/9.30 | |
% 59.30/9.30 | | COMBINE_EQS: (30), (34) imply:
% 59.30/9.30 | | (35) all_14_2 = e20
% 59.30/9.30 | |
% 59.30/9.30 | | REDUCE: (7), (35) imply:
% 59.30/9.30 | | (36) $false
% 59.30/9.30 | |
% 59.30/9.30 | | CLOSE: (36) is inconsistent.
% 59.30/9.30 | |
% 59.30/9.30 | Case 2:
% 59.30/9.30 | |
% 59.30/9.30 | | (37) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 59.30/9.30 | |
% 59.30/9.30 | | BETA: splitting (37) gives:
% 59.30/9.30 | |
% 59.30/9.30 | | Case 1:
% 59.30/9.30 | | |
% 59.30/9.30 | | | (38) all_26_7 = e20
% 59.30/9.30 | | |
% 59.30/9.30 | | | COMBINE_EQS: (9), (38) imply:
% 59.30/9.30 | | | (39) e22 = e20
% 59.30/9.30 | | |
% 59.30/9.30 | | | REDUCE: (13), (39) imply:
% 59.30/9.30 | | | (40) $false
% 59.30/9.30 | | |
% 59.30/9.30 | | | CLOSE: (40) is inconsistent.
% 59.30/9.30 | | |
% 59.30/9.30 | | Case 2:
% 59.30/9.30 | | |
% 59.30/9.30 | | | (41) all_26_8 = e20 | all_26_11 = e20
% 59.30/9.30 | | |
% 59.30/9.30 | | | BETA: splitting (41) gives:
% 59.30/9.30 | | |
% 59.30/9.30 | | | Case 1:
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | (42) all_26_8 = e20
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | REF_CLOSE: (5), (6), (42) are inconsistent by sub-proof #107.
% 59.30/9.30 | | | |
% 59.30/9.30 | | | Case 2:
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | (43) all_26_11 = e20
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | COMBINE_EQS: (24), (43) imply:
% 59.30/9.30 | | | | (44) all_14_14 = e20
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | SIMP: (44) implies:
% 59.30/9.30 | | | | (45) all_14_14 = e20
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | COMBINE_EQS: (4), (45) imply:
% 59.30/9.30 | | | | (46) all_22_13 = e20
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | REDUCE: (20), (45) imply:
% 59.30/9.30 | | | | (47) ~ (e22 = e20)
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | REDUCE: (2), (45) imply:
% 59.30/9.30 | | | | (48) ~ (e21 = e20)
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | BETA: splitting (17) gives:
% 59.30/9.30 | | | |
% 59.30/9.30 | | | | Case 1:
% 59.30/9.30 | | | | |
% 59.30/9.30 | | | | | (49) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23)
% 59.30/9.30 | | | | | & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~
% 59.30/9.30 | | | | | (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_1 =
% 59.30/9.30 | | | | | e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.30 | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 =
% 59.30/9.30 | | | | | e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.30/9.30 | | | | | (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 =
% 59.30/9.30 | | | | | e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.30 | | | | | (all_22_14 = e23))) | (all_22_3 = e23 & ~ (all_22_10 =
% 59.30/9.30 | | | | | e22) & ~ (all_22_12 = e22) & ( ~ (all_22_4 = e21) | ~
% 59.30/9.30 | | | | | (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15
% 59.30/9.30 | | | | | = e22))) | (all_22_4 = e21 & ~ (all_22_12 = e22) & ~
% 59.30/9.30 | | | | | (all_22_14 = e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 =
% 59.30/9.30 | | | | | e22)) & ( ~ (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 59.30/9.30 | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 = e22)
% 59.30/9.30 | | | | | & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~
% 59.30/9.30 | | | | | (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 59.30/9.30 | | | | |
% 59.30/9.30 | | | | | BETA: splitting (49) gives:
% 59.30/9.30 | | | | |
% 59.30/9.30 | | | | | Case 1:
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | | (50) (all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 =
% 59.30/9.30 | | | | | | e23) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)) & (
% 59.30/9.30 | | | | | | ~ (all_22_2 = e20) | ~ (all_22_15 = e23))) | (all_22_1
% 59.30/9.30 | | | | | | = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.30 | | | | | | (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2
% 59.30/9.30 | | | | | | = e20) | ~ (all_22_15 = e23))) | (all_22_2 = e20 & ~
% 59.30/9.30 | | | | | | (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~ (all_22_0 =
% 59.30/9.30 | | | | | | e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) |
% 59.30/9.30 | | | | | | ~ (all_22_14 = e23)))
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | | BETA: splitting (50) gives:
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | | Case 1:
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | (51) all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 =
% 59.30/9.30 | | | | | | | e23) & ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)) & (
% 59.30/9.30 | | | | | | | ~ (all_22_2 = e20) | ~ (all_22_15 = e23))
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | REF_CLOSE: (13), (14), (51) are inconsistent by sub-proof #106.
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | Case 2:
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | (52) (all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 =
% 59.30/9.30 | | | | | | | e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 59.30/9.30 | | | | | | | ( ~ (all_22_2 = e20) | ~ (all_22_15 = e23))) |
% 59.30/9.30 | | | | | | | (all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 =
% 59.30/9.30 | | | | | | | e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 59.30/9.30 | | | | | | | ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23)))
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | BETA: splitting (52) gives:
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | Case 1:
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | (53) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 =
% 59.30/9.30 | | | | | | | | e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 59.30/9.30 | | | | | | | | ( ~ (all_22_2 = e20) | ~ (all_22_15 = e23))
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | REF_CLOSE: (27), (29), (53) are inconsistent by sub-proof #105.
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | Case 2:
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | (54) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 =
% 59.30/9.30 | | | | | | | | e23) & ( ~ (all_22_0 = e22) | ~ (all_22_12 = e23)) &
% 59.30/9.30 | | | | | | | | ( ~ (all_22_1 = e21) | ~ (all_22_14 = e23))
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | REF_CLOSE: (13), (28), (54) are inconsistent by sub-proof #104.
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | End of split
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | End of split
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | Case 2:
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | | (55) (all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 =
% 59.30/9.30 | | | | | | e22) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)) & (
% 59.30/9.30 | | | | | | ~ (all_22_5 = e20) | ~ (all_22_15 = e22))) | (all_22_4
% 59.30/9.30 | | | | | | = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 = e22) & ( ~
% 59.30/9.30 | | | | | | (all_22_3 = e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_5
% 59.30/9.30 | | | | | | = e20) | ~ (all_22_15 = e22))) | (all_22_5 = e20 & ~
% 59.30/9.30 | | | | | | (all_22_12 = e22) & ~ (all_22_15 = e22) & ( ~ (all_22_3 =
% 59.30/9.30 | | | | | | e23) | ~ (all_22_10 = e22)) & ( ~ (all_22_4 = e21) |
% 59.30/9.30 | | | | | | ~ (all_22_14 = e22)))
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | | BETA: splitting (55) gives:
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | | Case 1:
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | (56) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 =
% 59.30/9.30 | | | | | | | e22) & ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)) & (
% 59.30/9.30 | | | | | | | ~ (all_22_5 = e20) | ~ (all_22_15 = e22))
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | REF_CLOSE: (16), (32), (56) are inconsistent by sub-proof #103.
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | Case 2:
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | (57) (all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 =
% 59.30/9.30 | | | | | | | e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 59.30/9.30 | | | | | | | ( ~ (all_22_5 = e20) | ~ (all_22_15 = e22))) |
% 59.30/9.30 | | | | | | | (all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 =
% 59.30/9.30 | | | | | | | e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 59.30/9.30 | | | | | | | ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22)))
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | BETA: splitting (57) gives:
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | | Case 1:
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | (58) all_22_4 = e21 & ~ (all_22_12 = e22) & ~ (all_22_14 =
% 59.30/9.30 | | | | | | | | e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 59.30/9.30 | | | | | | | | ( ~ (all_22_5 = e20) | ~ (all_22_15 = e22))
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | ALPHA: (58) implies:
% 59.30/9.30 | | | | | | | | (59) all_22_4 = e21
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | COMBINE_EQS: (23), (59) imply:
% 59.30/9.30 | | | | | | | | (60) e22 = e21
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | SIMP: (60) implies:
% 59.30/9.30 | | | | | | | | (61) e22 = e21
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | REDUCE: (8), (61) imply:
% 59.30/9.30 | | | | | | | | (62) $false
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | CLOSE: (62) is inconsistent.
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | Case 2:
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | (63) all_22_5 = e20 & ~ (all_22_12 = e22) & ~ (all_22_15 =
% 59.30/9.30 | | | | | | | | e22) & ( ~ (all_22_3 = e23) | ~ (all_22_10 = e22)) &
% 59.30/9.30 | | | | | | | | ( ~ (all_22_4 = e21) | ~ (all_22_14 = e22))
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | ALPHA: (63) implies:
% 59.30/9.30 | | | | | | | | (64) all_22_5 = e20
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | COMBINE_EQS: (25), (64) imply:
% 59.30/9.30 | | | | | | | | (65) all_14_7 = e20
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | SIMP: (65) implies:
% 59.30/9.30 | | | | | | | | (66) all_14_7 = e20
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | REDUCE: (19), (66) imply:
% 59.30/9.30 | | | | | | | | (67) ~ (all_14_4 = e20)
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | BETA: splitting (11) gives:
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | | Case 1:
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | (68) all_26_0 = e21
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | COMBINE_EQS: (31), (68) imply:
% 59.30/9.30 | | | | | | | | | (69) all_8_1 = e21
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | SIMP: (69) implies:
% 59.30/9.30 | | | | | | | | | (70) all_8_1 = e21
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | REDUCE: (12), (70) imply:
% 59.30/9.30 | | | | | | | | | (71) ~ (all_14_4 = e21)
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | REF_CLOSE: (18), (21), (32), (67), (71) are inconsistent by
% 59.30/9.30 | | | | | | | | | sub-proof #102.
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | Case 2:
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | (72) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | BETA: splitting (72) gives:
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | | Case 1:
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | (73) all_26_2 = e21
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | COMBINE_EQS: (26), (73) imply:
% 59.30/9.30 | | | | | | | | | | (74) e21 = e20
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | REDUCE: (6), (74) imply:
% 59.30/9.30 | | | | | | | | | | (75) $false
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | CLOSE: (75) is inconsistent.
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | Case 2:
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | (76) all_26_6 = e21 | all_26_12 = e21
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | BETA: splitting (76) gives:
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | Case 1:
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | | (77) all_26_6 = e21
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | | COMBINE_EQS: (30), (77) imply:
% 59.30/9.30 | | | | | | | | | | | (78) all_14_2 = e21
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | | REDUCE: (29), (78) imply:
% 59.30/9.30 | | | | | | | | | | | (79) $false
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | | CLOSE: (79) is inconsistent.
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | Case 2:
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | | (80) all_26_12 = e21
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | | REF_CLOSE: (8), (15), (80) are inconsistent by sub-proof
% 59.30/9.30 | | | | | | | | | | | #101.
% 59.30/9.30 | | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | | End of split
% 59.30/9.30 | | | | | | | | | |
% 59.30/9.30 | | | | | | | | | End of split
% 59.30/9.30 | | | | | | | | |
% 59.30/9.30 | | | | | | | | End of split
% 59.30/9.30 | | | | | | | |
% 59.30/9.30 | | | | | | | End of split
% 59.30/9.30 | | | | | | |
% 59.30/9.30 | | | | | | End of split
% 59.30/9.30 | | | | | |
% 59.30/9.30 | | | | | End of split
% 59.30/9.30 | | | | |
% 59.30/9.30 | | | | Case 2:
% 59.30/9.30 | | | | |
% 59.30/9.31 | | | | | (81) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21)
% 59.30/9.31 | | | | | & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~
% 59.30/9.31 | | | | | (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_7 =
% 59.30/9.31 | | | | | e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 =
% 59.30/9.31 | | | | | e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.30/9.31 | | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 =
% 59.30/9.31 | | | | | e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~
% 59.30/9.31 | | | | | (all_22_12 = e21))) | (all_22_9 = e23 & ~ (all_22_10 =
% 59.30/9.31 | | | | | e20) & ~ (all_22_15 = e20) & ( ~ (all_22_11 = e22) | ~
% 59.30/9.31 | | | | | (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~ (all_22_14
% 59.30/9.31 | | | | | = e20))) | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~
% 59.30/9.31 | | | | | (all_22_15 = e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 =
% 59.30/9.31 | | | | | e20)) & ( ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.30/9.31 | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 = e20)
% 59.30/9.31 | | | | | & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~
% 59.30/9.31 | | | | | (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.31 | | | | |
% 59.30/9.31 | | | | | BETA: splitting (81) gives:
% 59.30/9.31 | | | | |
% 59.30/9.31 | | | | | Case 1:
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | | (82) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 =
% 59.30/9.31 | | | | | | e21) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21)) & (
% 59.30/9.31 | | | | | | ~ (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_7
% 59.30/9.31 | | | | | | = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 | | | | | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8
% 59.30/9.31 | | | | | | = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.30/9.31 | | | | | | (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 =
% 59.30/9.31 | | | | | | e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) |
% 59.30/9.31 | | | | | | ~ (all_22_12 = e21)))
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | | REF_CLOSE: (3), (82) are inconsistent by sub-proof #99.
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | Case 2:
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | | (83) (all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | e20) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 59.30/9.31 | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.30/9.31 | | | | | | (all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & (
% 59.30/9.31 | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.30/9.31 | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) & (
% 59.30/9.31 | | | | | | ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | | BETA: splitting (83) gives:
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | | Case 1:
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | | (84) all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | | e20) & ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)) & (
% 59.30/9.31 | | | | | | | ~ (all_22_13 = e21) | ~ (all_22_14 = e20))
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | | REF_CLOSE: (10), (22), (84) are inconsistent by sub-proof #98.
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | Case 2:
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | | (85) (all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | | e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 59.30/9.31 | | | | | | | ( ~ (all_22_13 = e21) | ~ (all_22_14 = e20))) |
% 59.30/9.31 | | | | | | | (all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | | e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 59.30/9.31 | | | | | | | ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20)))
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | | BETA: splitting (85) gives:
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | | Case 1:
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | (86) all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | | | e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 59.30/9.31 | | | | | | | | ( ~ (all_22_13 = e21) | ~ (all_22_14 = e20))
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | REF_CLOSE: (1), (8), (86) are inconsistent by sub-proof #97.
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | Case 2:
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | (87) all_22_13 = e21 & ~ (all_22_14 = e20) & ~ (all_22_15 =
% 59.30/9.31 | | | | | | | | e20) & ( ~ (all_22_9 = e23) | ~ (all_22_10 = e20)) &
% 59.30/9.31 | | | | | | | | ( ~ (all_22_11 = e22) | ~ (all_22_12 = e20))
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | ALPHA: (87) implies:
% 59.30/9.31 | | | | | | | | (88) all_22_13 = e21
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | COMBINE_EQS: (46), (88) imply:
% 59.30/9.31 | | | | | | | | (89) e21 = e20
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | REDUCE: (6), (89) imply:
% 59.30/9.31 | | | | | | | | (90) $false
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | | CLOSE: (90) is inconsistent.
% 59.30/9.31 | | | | | | | |
% 59.30/9.31 | | | | | | | End of split
% 59.30/9.31 | | | | | | |
% 59.30/9.31 | | | | | | End of split
% 59.30/9.31 | | | | | |
% 59.30/9.31 | | | | | End of split
% 59.30/9.31 | | | | |
% 59.30/9.31 | | | | End of split
% 59.30/9.31 | | | |
% 59.30/9.31 | | | End of split
% 59.30/9.31 | | |
% 59.30/9.31 | | End of split
% 59.30/9.31 | |
% 59.30/9.31 | End of split
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #97 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) all_22_11 = e22 & ~ (all_22_12 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.31 (all_22_9 = e23) | ~ (all_22_10 = e20)) & ( ~ (all_22_13 = e21) | ~
% 59.30/9.31 (all_22_14 = e20))
% 59.30/9.31 (2) all_22_11 = e21
% 59.30/9.31 (3) ~ (e22 = e21)
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | ALPHA: (1) implies:
% 59.30/9.31 | (4) all_22_11 = e22
% 59.30/9.31 |
% 59.30/9.31 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.31 | (5) e22 = e21
% 59.30/9.31 |
% 59.30/9.31 | REDUCE: (3), (5) imply:
% 59.30/9.31 | (6) $false
% 59.30/9.31 |
% 59.30/9.31 | CLOSE: (6) is inconsistent.
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #98 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) all_22_9 = e23 & ~ (all_22_10 = e20) & ~ (all_22_15 = e20) & ( ~
% 59.30/9.31 (all_22_11 = e22) | ~ (all_22_12 = e20)) & ( ~ (all_22_13 = e21) | ~
% 59.30/9.31 (all_22_14 = e20))
% 59.30/9.31 (2) all_22_9 = e22
% 59.30/9.31 (3) ~ (e23 = e22)
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | ALPHA: (1) implies:
% 59.30/9.31 | (4) all_22_9 = e23
% 59.30/9.31 |
% 59.30/9.31 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.31 | (5) e23 = e22
% 59.30/9.31 |
% 59.30/9.31 | REDUCE: (3), (5) imply:
% 59.30/9.31 | (6) $false
% 59.30/9.31 |
% 59.30/9.31 | CLOSE: (6) is inconsistent.
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #99 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) (all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.31 (all_22_15 = e21))) | (all_22_7 = e22 & ~ (all_22_12 = e21) & ~
% 59.30/9.31 (all_22_14 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.30/9.31 (all_22_8 = e20) | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~
% 59.30/9.31 (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~
% 59.30/9.31 (all_22_10 = e21)) & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 59.30/9.31 (2) all_22_14 = e21
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | BETA: splitting (1) gives:
% 59.30/9.31 |
% 59.30/9.31 | Case 1:
% 59.30/9.31 | |
% 59.30/9.31 | | (3) all_22_6 = e23 & ~ (all_22_10 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 | | (all_22_7 = e22) | ~ (all_22_12 = e21)) & ( ~ (all_22_8 = e20) |
% 59.30/9.31 | | ~ (all_22_15 = e21))
% 59.30/9.31 | |
% 59.30/9.31 | | ALPHA: (3) implies:
% 59.30/9.31 | | (4) ~ (all_22_14 = e21)
% 59.30/9.31 | |
% 59.30/9.31 | | REDUCE: (2), (4) imply:
% 59.30/9.31 | | (5) $false
% 59.30/9.31 | |
% 59.30/9.31 | | CLOSE: (5) is inconsistent.
% 59.30/9.31 | |
% 59.30/9.31 | Case 2:
% 59.30/9.31 | |
% 59.30/9.31 | | (6) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 = e20) |
% 59.30/9.31 | | ~ (all_22_15 = e21))) | (all_22_8 = e20 & ~ (all_22_14 = e21) &
% 59.30/9.31 | | ~ (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21))
% 59.30/9.31 | | & ( ~ (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 59.30/9.31 | |
% 59.30/9.31 | | REF_CLOSE: (2), (6) are inconsistent by sub-proof #100.
% 59.30/9.31 | |
% 59.30/9.31 | End of split
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #100 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) (all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 = e20) | ~
% 59.30/9.31 (all_22_15 = e21))) | (all_22_8 = e20 & ~ (all_22_14 = e21) & ~
% 59.30/9.31 (all_22_15 = e21) & ( ~ (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~
% 59.30/9.31 (all_22_7 = e22) | ~ (all_22_12 = e21)))
% 59.30/9.31 (2) all_22_14 = e21
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | BETA: splitting (1) gives:
% 59.30/9.31 |
% 59.30/9.31 | Case 1:
% 59.30/9.31 | |
% 59.30/9.31 | | (3) all_22_7 = e22 & ~ (all_22_12 = e21) & ~ (all_22_14 = e21) & ( ~
% 59.30/9.31 | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_8 = e20) |
% 59.30/9.31 | | ~ (all_22_15 = e21))
% 59.30/9.31 | |
% 59.30/9.31 | | ALPHA: (3) implies:
% 59.30/9.31 | | (4) ~ (all_22_14 = e21)
% 59.30/9.31 | |
% 59.30/9.31 | | REDUCE: (2), (4) imply:
% 59.30/9.31 | | (5) $false
% 59.30/9.31 | |
% 59.30/9.31 | | CLOSE: (5) is inconsistent.
% 59.30/9.31 | |
% 59.30/9.31 | Case 2:
% 59.30/9.31 | |
% 59.30/9.31 | | (6) all_22_8 = e20 & ~ (all_22_14 = e21) & ~ (all_22_15 = e21) & ( ~
% 59.30/9.31 | | (all_22_6 = e23) | ~ (all_22_10 = e21)) & ( ~ (all_22_7 = e22) |
% 59.30/9.31 | | ~ (all_22_12 = e21))
% 59.30/9.31 | |
% 59.30/9.31 | | ALPHA: (6) implies:
% 59.30/9.31 | | (7) ~ (all_22_14 = e21)
% 59.30/9.31 | |
% 59.30/9.31 | | REDUCE: (2), (7) imply:
% 59.30/9.31 | | (8) $false
% 59.30/9.31 | |
% 59.30/9.31 | | CLOSE: (8) is inconsistent.
% 59.30/9.31 | |
% 59.30/9.31 | End of split
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #101 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) all_26_12 = e22
% 59.30/9.31 (2) all_26_12 = e21
% 59.30/9.31 (3) ~ (e22 = e21)
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.31 | (4) e22 = e21
% 59.30/9.31 |
% 59.30/9.31 | SIMP: (4) implies:
% 59.30/9.31 | (5) e22 = e21
% 59.30/9.31 |
% 59.30/9.31 | REDUCE: (3), (5) imply:
% 59.30/9.31 | (6) $false
% 59.30/9.31 |
% 59.30/9.31 | CLOSE: (6) is inconsistent.
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #102 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) ~ (all_14_4 = e20)
% 59.30/9.31 (2) ~ (all_14_4 = e21)
% 59.30/9.31 (3) all_18_1 = all_14_4
% 59.30/9.31 (4) all_18_1 = e23 | all_18_1 = e21 | all_18_1 = e20
% 59.30/9.31 (5) ~ (all_14_4 = e23)
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | BETA: splitting (4) gives:
% 59.30/9.31 |
% 59.30/9.31 | Case 1:
% 59.30/9.31 | |
% 59.30/9.31 | | (6) all_18_1 = e23
% 59.30/9.31 | |
% 59.30/9.31 | | COMBINE_EQS: (3), (6) imply:
% 59.30/9.31 | | (7) all_14_4 = e23
% 59.30/9.31 | |
% 59.30/9.31 | | SIMP: (7) implies:
% 59.30/9.31 | | (8) all_14_4 = e23
% 59.30/9.31 | |
% 59.30/9.31 | | REDUCE: (5), (8) imply:
% 59.30/9.31 | | (9) $false
% 59.30/9.31 | |
% 59.30/9.31 | | CLOSE: (9) is inconsistent.
% 59.30/9.31 | |
% 59.30/9.31 | Case 2:
% 59.30/9.31 | |
% 59.30/9.31 | | (10) all_18_1 = e21 | all_18_1 = e20
% 59.30/9.31 | |
% 59.30/9.31 | | BETA: splitting (10) gives:
% 59.30/9.31 | |
% 59.30/9.31 | | Case 1:
% 59.30/9.31 | | |
% 59.30/9.31 | | | (11) all_18_1 = e21
% 59.30/9.31 | | |
% 59.30/9.31 | | | COMBINE_EQS: (3), (11) imply:
% 59.30/9.31 | | | (12) all_14_4 = e21
% 59.30/9.31 | | |
% 59.30/9.31 | | | SIMP: (12) implies:
% 59.30/9.31 | | | (13) all_14_4 = e21
% 59.30/9.31 | | |
% 59.30/9.31 | | | REDUCE: (2), (13) imply:
% 59.30/9.31 | | | (14) $false
% 59.30/9.31 | | |
% 59.30/9.31 | | | CLOSE: (14) is inconsistent.
% 59.30/9.31 | | |
% 59.30/9.31 | | Case 2:
% 59.30/9.31 | | |
% 59.30/9.31 | | | (15) all_18_1 = e20
% 59.30/9.31 | | |
% 59.30/9.31 | | | COMBINE_EQS: (3), (15) imply:
% 59.30/9.31 | | | (16) all_14_4 = e20
% 59.30/9.31 | | |
% 59.30/9.31 | | | SIMP: (16) implies:
% 59.30/9.31 | | | (17) all_14_4 = e20
% 59.30/9.31 | | |
% 59.30/9.31 | | | REDUCE: (1), (17) imply:
% 59.30/9.31 | | | (18) $false
% 59.30/9.31 | | |
% 59.30/9.31 | | | CLOSE: (18) is inconsistent.
% 59.30/9.31 | | |
% 59.30/9.31 | | End of split
% 59.30/9.31 | |
% 59.30/9.31 | End of split
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #103 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) all_22_3 = e23 & ~ (all_22_10 = e22) & ~ (all_22_12 = e22) & ( ~
% 59.30/9.31 (all_22_4 = e21) | ~ (all_22_14 = e22)) & ( ~ (all_22_5 = e20) | ~
% 59.30/9.31 (all_22_15 = e22))
% 59.30/9.31 (2) all_22_3 = all_14_4
% 59.30/9.31 (3) ~ (all_14_4 = e23)
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | ALPHA: (1) implies:
% 59.30/9.31 | (4) all_22_3 = e23
% 59.30/9.31 |
% 59.30/9.31 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.31 | (5) all_14_4 = e23
% 59.30/9.31 |
% 59.30/9.31 | SIMP: (5) implies:
% 59.30/9.31 | (6) all_14_4 = e23
% 59.30/9.31 |
% 59.30/9.31 | REDUCE: (3), (6) imply:
% 59.30/9.31 | (7) $false
% 59.30/9.31 |
% 59.30/9.31 | CLOSE: (7) is inconsistent.
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #104 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) all_22_2 = e20 & ~ (all_22_10 = e23) & ~ (all_22_15 = e23) & ( ~
% 59.30/9.31 (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_1 = e21) | ~
% 59.30/9.31 (all_22_14 = e23))
% 59.30/9.31 (2) all_22_2 = e22
% 59.30/9.31 (3) ~ (e22 = e20)
% 59.30/9.31
% 59.30/9.31 Begin of proof
% 59.30/9.31 |
% 59.30/9.31 | ALPHA: (1) implies:
% 59.30/9.31 | (4) all_22_2 = e20
% 59.30/9.31 |
% 59.30/9.31 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.31 | (5) e22 = e20
% 59.30/9.31 |
% 59.30/9.31 | SIMP: (5) implies:
% 59.30/9.31 | (6) e22 = e20
% 59.30/9.31 |
% 59.30/9.31 | REDUCE: (3), (6) imply:
% 59.30/9.31 | (7) $false
% 59.30/9.31 |
% 59.30/9.31 | CLOSE: (7) is inconsistent.
% 59.30/9.31 |
% 59.30/9.31 End of proof
% 59.30/9.31
% 59.30/9.31 Sub-proof #105 shows that the following formulas are inconsistent:
% 59.30/9.31 ----------------------------------------------------------------
% 59.30/9.31 (1) all_22_1 = e21 & ~ (all_22_10 = e23) & ~ (all_22_14 = e23) & ( ~
% 59.30/9.31 (all_22_0 = e22) | ~ (all_22_12 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.31 (all_22_15 = e23))
% 59.30/9.31 (2) all_22_1 = all_14_2
% 59.30/9.32 (3) ~ (all_14_2 = e21)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | ALPHA: (1) implies:
% 59.30/9.32 | (4) all_22_1 = e21
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.32 | (5) all_14_2 = e21
% 59.30/9.32 |
% 59.30/9.32 | SIMP: (5) implies:
% 59.30/9.32 | (6) all_14_2 = e21
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (6) imply:
% 59.30/9.32 | (7) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (7) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #106 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_22_0 = e22 & ~ (all_22_10 = e23) & ~ (all_22_12 = e23) & ( ~
% 59.30/9.32 (all_22_1 = e21) | ~ (all_22_14 = e23)) & ( ~ (all_22_2 = e20) | ~
% 59.30/9.32 (all_22_15 = e23))
% 59.30/9.32 (2) all_22_0 = e20
% 59.30/9.32 (3) ~ (e22 = e20)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | ALPHA: (1) implies:
% 59.30/9.32 | (4) all_22_0 = e22
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.32 | (5) e22 = e20
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (5) imply:
% 59.30/9.32 | (6) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (6) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #107 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_26_8 = e21
% 59.30/9.32 (2) all_26_8 = e20
% 59.30/9.32 (3) ~ (e21 = e20)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.32 | (4) e21 = e20
% 59.30/9.32 |
% 59.30/9.32 | SIMP: (4) implies:
% 59.30/9.32 | (5) e21 = e20
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (5) imply:
% 59.30/9.32 | (6) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (6) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #108 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 59.30/9.32 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 59.30/9.32 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) |
% 59.30/9.32 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~
% 59.30/9.32 (all_22_15 = e22) | all_22_5 = e20))
% 59.30/9.32 (2) ~ (e22 = e20)
% 59.30/9.32 (3) all_22_0 = e20
% 59.30/9.32 (4) ~ (e23 = e22)
% 59.30/9.32 (5) all_22_12 = e23
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | BETA: splitting (1) gives:
% 59.30/9.32 |
% 59.30/9.32 | Case 1:
% 59.30/9.32 | |
% 59.30/9.32 | | (6) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 59.30/9.32 | | (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) |
% 59.30/9.32 | | all_22_2 = e20)
% 59.30/9.32 | |
% 59.30/9.32 | | REF_CLOSE: (2), (3), (5), (6) are inconsistent by sub-proof #109.
% 59.30/9.32 | |
% 59.30/9.32 | Case 2:
% 59.30/9.32 | |
% 59.30/9.32 | | (7) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 = e23) & ( ~
% 59.30/9.32 | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ (all_22_15 = e22) |
% 59.30/9.32 | | all_22_5 = e20)
% 59.30/9.32 | |
% 59.30/9.32 | | ALPHA: (7) implies:
% 59.30/9.32 | | (8) all_22_12 = e22
% 59.30/9.32 | |
% 59.30/9.32 | | COMBINE_EQS: (5), (8) imply:
% 59.30/9.32 | | (9) e23 = e22
% 59.30/9.32 | |
% 59.30/9.32 | | SIMP: (9) implies:
% 59.30/9.32 | | (10) e23 = e22
% 59.30/9.32 | |
% 59.30/9.32 | | REDUCE: (4), (10) imply:
% 59.30/9.32 | | (11) $false
% 59.30/9.32 | |
% 59.30/9.32 | | CLOSE: (11) is inconsistent.
% 59.30/9.32 | |
% 59.30/9.32 | End of split
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #109 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~
% 59.30/9.32 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) | all_22_2
% 59.30/9.32 = e20)
% 59.30/9.32 (2) all_22_12 = e23
% 59.30/9.32 (3) all_22_0 = e20
% 59.30/9.32 (4) ~ (e22 = e20)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | ALPHA: (1) implies:
% 59.30/9.32 | (5) ~ (all_22_12 = e23) | all_22_0 = e22
% 59.30/9.32 |
% 59.30/9.32 | BETA: splitting (5) gives:
% 59.30/9.32 |
% 59.30/9.32 | Case 1:
% 59.30/9.32 | |
% 59.30/9.32 | | (6) ~ (all_22_12 = e23)
% 59.30/9.32 | |
% 59.30/9.32 | | REDUCE: (2), (6) imply:
% 59.30/9.32 | | (7) $false
% 59.30/9.32 | |
% 59.30/9.32 | | CLOSE: (7) is inconsistent.
% 59.30/9.32 | |
% 59.30/9.32 | Case 2:
% 59.30/9.32 | |
% 59.30/9.32 | | (8) all_22_0 = e22
% 59.30/9.32 | |
% 59.30/9.32 | | COMBINE_EQS: (3), (8) imply:
% 59.30/9.32 | | (9) e22 = e20
% 59.30/9.32 | |
% 59.30/9.32 | | REDUCE: (4), (9) imply:
% 59.30/9.32 | | (10) $false
% 59.30/9.32 | |
% 59.30/9.32 | | CLOSE: (10) is inconsistent.
% 59.30/9.32 | |
% 59.30/9.32 | End of split
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #110 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_18_10 = all_4_1
% 59.30/9.32 (2) all_18_10 = e22
% 59.30/9.32 (3) ~ (all_4_1 = e22)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.32 | (4) all_4_1 = e22
% 59.30/9.32 |
% 59.30/9.32 | SIMP: (4) implies:
% 59.30/9.32 | (5) all_4_1 = e22
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (5) imply:
% 59.30/9.32 | (6) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (6) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #111 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_16_0 = all_12_0
% 59.30/9.32 (2) all_16_0 = e10
% 59.30/9.32 (3) ~ (all_12_0 = e10)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.32 | (4) all_12_0 = e10
% 59.30/9.32 |
% 59.30/9.32 | SIMP: (4) implies:
% 59.30/9.32 | (5) all_12_0 = e10
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (5) imply:
% 59.30/9.32 | (6) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (6) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #112 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) ~ (all_12_2 = e10)
% 59.30/9.32 (2) ~ (all_12_3 = e11)
% 59.30/9.32 (3) ~ (all_12_2 = all_12_3)
% 59.30/9.32 (4) ~ (all_12_3 = e12)
% 59.30/9.32 (5) ~ (all_12_2 = e11)
% 59.30/9.32 (6) all_16_8 = all_12_2
% 59.30/9.32 (7) all_16_8 = e13 | all_16_8 = e11 | all_16_8 = e10
% 59.30/9.32 (8) all_16_12 = all_12_3
% 59.30/9.32 (9) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 59.30/9.32 (10) ~ (all_12_3 = e10)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | BETA: splitting (9) gives:
% 59.30/9.32 |
% 59.30/9.32 | Case 1:
% 59.30/9.32 | |
% 59.30/9.32 | | (11) all_16_12 = e12
% 59.30/9.32 | |
% 59.30/9.32 | | REF_CLOSE: (4), (8), (11) are inconsistent by sub-proof #115.
% 59.30/9.32 | |
% 59.30/9.32 | Case 2:
% 59.30/9.32 | |
% 59.30/9.32 | | (12) all_16_12 = e13 | all_16_12 = e11 | all_16_12 = e10
% 59.30/9.32 | |
% 59.30/9.32 | | BETA: splitting (12) gives:
% 59.30/9.32 | |
% 59.30/9.32 | | Case 1:
% 59.30/9.32 | | |
% 59.30/9.32 | | | (13) all_16_12 = e13
% 59.30/9.32 | | |
% 59.30/9.32 | | | COMBINE_EQS: (8), (13) imply:
% 59.30/9.32 | | | (14) all_12_3 = e13
% 59.30/9.32 | | |
% 59.30/9.32 | | | SIMP: (14) implies:
% 59.30/9.32 | | | (15) all_12_3 = e13
% 59.30/9.32 | | |
% 59.30/9.32 | | | REDUCE: (3), (15) imply:
% 59.30/9.32 | | | (16) ~ (all_12_2 = e13)
% 59.30/9.32 | | |
% 59.30/9.32 | | | REF_CLOSE: (1), (5), (6), (7), (16) are inconsistent by sub-proof #114.
% 59.30/9.32 | | |
% 59.30/9.32 | | Case 2:
% 59.30/9.32 | | |
% 59.30/9.32 | | | (17) all_16_12 = e11 | all_16_12 = e10
% 59.30/9.32 | | |
% 59.30/9.32 | | | BETA: splitting (17) gives:
% 59.30/9.32 | | |
% 59.30/9.32 | | | Case 1:
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | (18) all_16_12 = e11
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | COMBINE_EQS: (8), (18) imply:
% 59.30/9.32 | | | | (19) all_12_3 = e11
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | SIMP: (19) implies:
% 59.30/9.32 | | | | (20) all_12_3 = e11
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | REDUCE: (2), (20) imply:
% 59.30/9.32 | | | | (21) $false
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | CLOSE: (21) is inconsistent.
% 59.30/9.32 | | | |
% 59.30/9.32 | | | Case 2:
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | (22) all_16_12 = e10
% 59.30/9.32 | | | |
% 59.30/9.32 | | | | REF_CLOSE: (8), (10), (22) are inconsistent by sub-proof #113.
% 59.30/9.32 | | | |
% 59.30/9.32 | | | End of split
% 59.30/9.32 | | |
% 59.30/9.32 | | End of split
% 59.30/9.32 | |
% 59.30/9.32 | End of split
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #113 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_16_12 = all_12_3
% 59.30/9.32 (2) all_16_12 = e10
% 59.30/9.32 (3) ~ (all_12_3 = e10)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.32 | (4) all_12_3 = e10
% 59.30/9.32 |
% 59.30/9.32 | SIMP: (4) implies:
% 59.30/9.32 | (5) all_12_3 = e10
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (5) imply:
% 59.30/9.32 | (6) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (6) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #114 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) ~ (all_12_2 = e10)
% 59.30/9.32 (2) ~ (all_12_2 = e13)
% 59.30/9.32 (3) ~ (all_12_2 = e11)
% 59.30/9.32 (4) all_16_8 = all_12_2
% 59.30/9.32 (5) all_16_8 = e13 | all_16_8 = e11 | all_16_8 = e10
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | BETA: splitting (5) gives:
% 59.30/9.32 |
% 59.30/9.32 | Case 1:
% 59.30/9.32 | |
% 59.30/9.32 | | (6) all_16_8 = e13
% 59.30/9.32 | |
% 59.30/9.32 | | COMBINE_EQS: (4), (6) imply:
% 59.30/9.32 | | (7) all_12_2 = e13
% 59.30/9.32 | |
% 59.30/9.32 | | REDUCE: (2), (7) imply:
% 59.30/9.32 | | (8) $false
% 59.30/9.32 | |
% 59.30/9.32 | | CLOSE: (8) is inconsistent.
% 59.30/9.32 | |
% 59.30/9.32 | Case 2:
% 59.30/9.32 | |
% 59.30/9.32 | | (9) all_16_8 = e11 | all_16_8 = e10
% 59.30/9.32 | |
% 59.30/9.32 | | BETA: splitting (9) gives:
% 59.30/9.32 | |
% 59.30/9.32 | | Case 1:
% 59.30/9.32 | | |
% 59.30/9.32 | | | (10) all_16_8 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | COMBINE_EQS: (4), (10) imply:
% 59.30/9.32 | | | (11) all_12_2 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | SIMP: (11) implies:
% 59.30/9.32 | | | (12) all_12_2 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | REDUCE: (3), (12) imply:
% 59.30/9.32 | | | (13) $false
% 59.30/9.32 | | |
% 59.30/9.32 | | | CLOSE: (13) is inconsistent.
% 59.30/9.32 | | |
% 59.30/9.32 | | Case 2:
% 59.30/9.32 | | |
% 59.30/9.32 | | | (14) all_16_8 = e10
% 59.30/9.32 | | |
% 59.30/9.32 | | | COMBINE_EQS: (4), (14) imply:
% 59.30/9.32 | | | (15) all_12_2 = e10
% 59.30/9.32 | | |
% 59.30/9.32 | | | SIMP: (15) implies:
% 59.30/9.32 | | | (16) all_12_2 = e10
% 59.30/9.32 | | |
% 59.30/9.32 | | | REDUCE: (1), (16) imply:
% 59.30/9.32 | | | (17) $false
% 59.30/9.32 | | |
% 59.30/9.32 | | | CLOSE: (17) is inconsistent.
% 59.30/9.32 | | |
% 59.30/9.32 | | End of split
% 59.30/9.32 | |
% 59.30/9.32 | End of split
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #115 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_16_12 = all_12_3
% 59.30/9.32 (2) all_16_12 = e12
% 59.30/9.32 (3) ~ (all_12_3 = e12)
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.32 | (4) all_12_3 = e12
% 59.30/9.32 |
% 59.30/9.32 | SIMP: (4) implies:
% 59.30/9.32 | (5) all_12_3 = e12
% 59.30/9.32 |
% 59.30/9.32 | REDUCE: (3), (5) imply:
% 59.30/9.32 | (6) $false
% 59.30/9.32 |
% 59.30/9.32 | CLOSE: (6) is inconsistent.
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #116 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.32 (1) all_20_15 = e10
% 59.30/9.32 (2) (all_20_9 = e13 & ~ (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 59.30/9.32 (all_20_11 = e12) | ~ (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 59.30/9.32 ~ (all_20_14 = e10))) | (all_20_11 = e12 & ~ (all_20_12 = e10) & ~
% 59.30/9.32 (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~
% 59.30/9.32 (all_20_13 = e11) | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~
% 59.30/9.32 (all_20_14 = e10) & ~ (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 59.30/9.32 (all_20_10 = e10)) & ( ~ (all_20_11 = e12) | ~ (all_20_12 = e10)))
% 59.30/9.32 (3) ~ (e12 = e11)
% 59.30/9.32 (4) all_20_11 = e11
% 59.30/9.32 (5) all_20_13 = e12
% 59.30/9.32
% 59.30/9.32 Begin of proof
% 59.30/9.32 |
% 59.30/9.32 | BETA: splitting (2) gives:
% 59.30/9.32 |
% 59.30/9.32 | Case 1:
% 59.30/9.32 | |
% 59.30/9.32 | | (6) all_20_9 = e13 & ~ (all_20_10 = e10) & ~ (all_20_15 = e10) & ( ~
% 59.30/9.32 | | (all_20_11 = e12) | ~ (all_20_12 = e10)) & ( ~ (all_20_13 = e11) |
% 59.30/9.32 | | ~ (all_20_14 = e10))
% 59.30/9.32 | |
% 59.30/9.32 | | ALPHA: (6) implies:
% 59.30/9.32 | | (7) ~ (all_20_15 = e10)
% 59.30/9.32 | |
% 59.30/9.32 | | REDUCE: (1), (7) imply:
% 59.30/9.32 | | (8) $false
% 59.30/9.32 | |
% 59.30/9.32 | | CLOSE: (8) is inconsistent.
% 59.30/9.32 | |
% 59.30/9.32 | Case 2:
% 59.30/9.32 | |
% 59.30/9.32 | | (9) (all_20_11 = e12 & ~ (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 59.30/9.32 | | (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_13 = e11)
% 59.30/9.32 | | | ~ (all_20_14 = e10))) | (all_20_13 = e11 & ~ (all_20_14 =
% 59.30/9.32 | | e10) & ~ (all_20_15 = e10) & ( ~ (all_20_9 = e13) | ~
% 59.30/9.32 | | (all_20_10 = e10)) & ( ~ (all_20_11 = e12) | ~ (all_20_12 =
% 59.30/9.32 | | e10)))
% 59.30/9.32 | |
% 59.30/9.32 | | BETA: splitting (9) gives:
% 59.30/9.32 | |
% 59.30/9.32 | | Case 1:
% 59.30/9.32 | | |
% 59.30/9.32 | | | (10) all_20_11 = e12 & ~ (all_20_12 = e10) & ~ (all_20_15 = e10) & (
% 59.30/9.32 | | | ~ (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_13 =
% 59.30/9.32 | | | e11) | ~ (all_20_14 = e10))
% 59.30/9.32 | | |
% 59.30/9.32 | | | ALPHA: (10) implies:
% 59.30/9.32 | | | (11) all_20_11 = e12
% 59.30/9.32 | | |
% 59.30/9.32 | | | COMBINE_EQS: (4), (11) imply:
% 59.30/9.32 | | | (12) e12 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | SIMP: (12) implies:
% 59.30/9.32 | | | (13) e12 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | REDUCE: (3), (13) imply:
% 59.30/9.32 | | | (14) $false
% 59.30/9.32 | | |
% 59.30/9.32 | | | CLOSE: (14) is inconsistent.
% 59.30/9.32 | | |
% 59.30/9.32 | | Case 2:
% 59.30/9.32 | | |
% 59.30/9.32 | | | (15) all_20_13 = e11 & ~ (all_20_14 = e10) & ~ (all_20_15 = e10) & (
% 59.30/9.32 | | | ~ (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_11 =
% 59.30/9.32 | | | e12) | ~ (all_20_12 = e10))
% 59.30/9.32 | | |
% 59.30/9.32 | | | ALPHA: (15) implies:
% 59.30/9.32 | | | (16) all_20_13 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | COMBINE_EQS: (5), (16) imply:
% 59.30/9.32 | | | (17) e12 = e11
% 59.30/9.32 | | |
% 59.30/9.32 | | | REDUCE: (3), (17) imply:
% 59.30/9.32 | | | (18) $false
% 59.30/9.32 | | |
% 59.30/9.32 | | | CLOSE: (18) is inconsistent.
% 59.30/9.32 | | |
% 59.30/9.32 | | End of split
% 59.30/9.32 | |
% 59.30/9.32 | End of split
% 59.30/9.32 |
% 59.30/9.32 End of proof
% 59.30/9.32
% 59.30/9.32 Sub-proof #117 shows that the following formulas are inconsistent:
% 59.30/9.32 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_6 = e13 & ~ (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~
% 59.30/9.33 (all_20_7 = e12) | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 59.30/9.33 (all_20_15 = e11))
% 59.30/9.33 (2) all_20_6 = e10
% 59.30/9.33 (3) ~ (e13 = e10)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | ALPHA: (1) implies:
% 59.30/9.33 | (4) all_20_6 = e13
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.33 | (5) e13 = e10
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (5) implies:
% 59.30/9.33 | (6) e13 = e10
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (6) imply:
% 59.30/9.33 | (7) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (7) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #118 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_4 = e11 & ~ (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 59.30/9.33 (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 59.30/9.33 (all_20_15 = e12))
% 59.30/9.33 (2) all_20_4 = e10
% 59.30/9.33 (3) ~ (e11 = e10)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | ALPHA: (1) implies:
% 59.30/9.33 | (4) all_20_4 = e11
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.33 | (5) e11 = e10
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (5) imply:
% 59.30/9.33 | (6) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (6) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #119 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_1 = e11 & ~ (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 59.30/9.33 (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_2 = e10) | ~
% 59.30/9.33 (all_20_15 = e13))
% 59.30/9.33 (2) all_20_1 = e13
% 59.30/9.33 (3) ~ (e13 = e11)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | ALPHA: (1) implies:
% 59.30/9.33 | (4) all_20_1 = e11
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.33 | (5) e13 = e11
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (5) implies:
% 59.30/9.33 | (6) e13 = e11
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (6) imply:
% 59.30/9.33 | (7) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (7) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #120 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_16_8 = all_12_2
% 59.30/9.33 (2) all_16_8 = e12
% 59.30/9.33 (3) ~ (all_12_2 = e12)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.33 | (4) all_12_2 = e12
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (4) implies:
% 59.30/9.33 | (5) all_12_2 = e12
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (5) imply:
% 59.30/9.33 | (6) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (6) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #121 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_16_0 = all_12_0
% 59.30/9.33 (2) all_16_0 = e13
% 59.30/9.33 (3) ~ (all_12_0 = e13)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.33 | (4) all_12_0 = e13
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (4) implies:
% 59.30/9.33 | (5) all_12_0 = e13
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (5) imply:
% 59.30/9.33 | (6) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (6) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #122 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_16_0 = all_12_0
% 59.30/9.33 (2) all_16_0 = e12
% 59.30/9.33 (3) ~ (all_12_0 = e12)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.33 | (4) all_12_0 = e12
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (4) implies:
% 59.30/9.33 | (5) all_12_0 = e12
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (5) imply:
% 59.30/9.33 | (6) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (6) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #123 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_16_14 = e11 | all_16_14 = e10
% 59.30/9.33 (2) all_16_14 = all_12_11
% 59.30/9.33 (3) ~ (all_12_11 = e11)
% 59.30/9.33 (4) ~ (all_12_11 = e10)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | BETA: splitting (1) gives:
% 59.30/9.33 |
% 59.30/9.33 | Case 1:
% 59.30/9.33 | |
% 59.30/9.33 | | (5) all_16_14 = e11
% 59.30/9.33 | |
% 59.30/9.33 | | COMBINE_EQS: (2), (5) imply:
% 59.30/9.33 | | (6) all_12_11 = e11
% 59.30/9.33 | |
% 59.30/9.33 | | REDUCE: (3), (6) imply:
% 59.30/9.33 | | (7) $false
% 59.30/9.33 | |
% 59.30/9.33 | | CLOSE: (7) is inconsistent.
% 59.30/9.33 | |
% 59.30/9.33 | Case 2:
% 59.30/9.33 | |
% 59.30/9.33 | | (8) all_16_14 = e10
% 59.30/9.33 | |
% 59.30/9.33 | | COMBINE_EQS: (2), (8) imply:
% 59.30/9.33 | | (9) all_12_11 = e10
% 59.30/9.33 | |
% 59.30/9.33 | | REDUCE: (4), (9) imply:
% 59.30/9.33 | | (10) $false
% 59.30/9.33 | |
% 59.30/9.33 | | CLOSE: (10) is inconsistent.
% 59.30/9.33 | |
% 59.30/9.33 | End of split
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #124 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_11 = e12 & ~ (all_20_12 = e10) & ~ (all_20_15 = e10) & ( ~
% 59.30/9.33 (all_20_9 = e13) | ~ (all_20_10 = e10)) & ( ~ (all_20_13 = e11) | ~
% 59.30/9.33 (all_20_14 = e10))
% 59.30/9.33 (2) all_20_11 = e11
% 59.30/9.33 (3) ~ (e12 = e11)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | ALPHA: (1) implies:
% 59.30/9.33 | (4) all_20_11 = e12
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.33 | (5) e12 = e11
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (5) imply:
% 59.30/9.33 | (6) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (6) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #125 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) ~ (e13 = e10)
% 59.30/9.33 (2) all_20_6 = e10
% 59.30/9.33 (3) all_20_14 = e11
% 59.30/9.33 (4) all_20_8 = e13
% 59.30/9.33 (5) (all_20_6 = e13 & ~ (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~
% 59.30/9.33 (all_20_7 = e12) | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) | ~
% 59.30/9.33 (all_20_15 = e11))) | (all_20_7 = e12 & ~ (all_20_12 = e11) & ~
% 59.30/9.33 (all_20_14 = e11) & ( ~ (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~
% 59.30/9.33 (all_20_8 = e10) | ~ (all_20_15 = e11))) | (all_20_8 = e10 & ~
% 59.30/9.33 (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 59.30/9.33 (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~ (all_20_12 = e11)))
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | BETA: splitting (5) gives:
% 59.30/9.33 |
% 59.30/9.33 | Case 1:
% 59.30/9.33 | |
% 59.30/9.33 | | (6) all_20_6 = e13 & ~ (all_20_10 = e11) & ~ (all_20_14 = e11) & ( ~
% 59.30/9.33 | | (all_20_7 = e12) | ~ (all_20_12 = e11)) & ( ~ (all_20_8 = e10) |
% 59.30/9.33 | | ~ (all_20_15 = e11))
% 59.30/9.33 | |
% 59.30/9.33 | | ALPHA: (6) implies:
% 59.30/9.33 | | (7) all_20_6 = e13
% 59.30/9.33 | |
% 59.30/9.33 | | COMBINE_EQS: (2), (7) imply:
% 59.30/9.33 | | (8) e13 = e10
% 59.30/9.33 | |
% 59.30/9.33 | | REDUCE: (1), (8) imply:
% 59.30/9.33 | | (9) $false
% 59.30/9.33 | |
% 59.30/9.33 | | CLOSE: (9) is inconsistent.
% 59.30/9.33 | |
% 59.30/9.33 | Case 2:
% 59.30/9.33 | |
% 59.30/9.33 | | (10) (all_20_7 = e12 & ~ (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 59.30/9.33 | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_8 = e10)
% 59.30/9.33 | | | ~ (all_20_15 = e11))) | (all_20_8 = e10 & ~ (all_20_14 =
% 59.30/9.33 | | e11) & ~ (all_20_15 = e11) & ( ~ (all_20_6 = e13) | ~
% 59.30/9.33 | | (all_20_10 = e11)) & ( ~ (all_20_7 = e12) | ~ (all_20_12 =
% 59.30/9.33 | | e11)))
% 59.30/9.33 | |
% 59.30/9.33 | | BETA: splitting (10) gives:
% 59.30/9.33 | |
% 59.30/9.33 | | Case 1:
% 59.30/9.33 | | |
% 59.30/9.33 | | | (11) all_20_7 = e12 & ~ (all_20_12 = e11) & ~ (all_20_14 = e11) & ( ~
% 59.30/9.33 | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_8 = e10)
% 59.30/9.33 | | | | ~ (all_20_15 = e11))
% 59.30/9.33 | | |
% 59.30/9.33 | | | ALPHA: (11) implies:
% 59.30/9.33 | | | (12) ~ (all_20_14 = e11)
% 59.30/9.33 | | |
% 59.30/9.33 | | | REDUCE: (3), (12) imply:
% 59.30/9.33 | | | (13) $false
% 59.30/9.33 | | |
% 59.30/9.33 | | | CLOSE: (13) is inconsistent.
% 59.30/9.33 | | |
% 59.30/9.33 | | Case 2:
% 59.30/9.33 | | |
% 59.30/9.33 | | | (14) all_20_8 = e10 & ~ (all_20_14 = e11) & ~ (all_20_15 = e11) & ( ~
% 59.30/9.33 | | | (all_20_6 = e13) | ~ (all_20_10 = e11)) & ( ~ (all_20_7 = e12)
% 59.30/9.33 | | | | ~ (all_20_12 = e11))
% 59.30/9.33 | | |
% 59.30/9.33 | | | ALPHA: (14) implies:
% 59.30/9.33 | | | (15) all_20_8 = e10
% 59.30/9.33 | | |
% 59.30/9.33 | | | COMBINE_EQS: (4), (15) imply:
% 59.30/9.33 | | | (16) e13 = e10
% 59.30/9.33 | | |
% 59.30/9.33 | | | SIMP: (16) implies:
% 59.30/9.33 | | | (17) e13 = e10
% 59.30/9.33 | | |
% 59.30/9.33 | | | REDUCE: (1), (17) imply:
% 59.30/9.33 | | | (18) $false
% 59.30/9.33 | | |
% 59.30/9.33 | | | CLOSE: (18) is inconsistent.
% 59.30/9.33 | | |
% 59.30/9.33 | | End of split
% 59.30/9.33 | |
% 59.30/9.33 | End of split
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #126 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) ~ (all_12_6 = e11)
% 59.30/9.33 (2) all_20_3 = all_12_4
% 59.30/9.33 (3) all_20_5 = all_12_7
% 59.30/9.33 (4) all_20_4 = all_12_6
% 59.30/9.33 (5) ~ (all_12_4 = e13)
% 59.30/9.33 (6) ~ (all_12_7 = e10)
% 59.30/9.33 (7) (all_20_3 = e13 & ~ (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 59.30/9.33 (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 59.30/9.33 (all_20_15 = e12))) | (all_20_4 = e11 & ~ (all_20_12 = e12) & ~
% 59.30/9.33 (all_20_14 = e12) & ( ~ (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~
% 59.30/9.33 (all_20_5 = e10) | ~ (all_20_15 = e12))) | (all_20_5 = e10 & ~
% 59.30/9.33 (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~
% 59.30/9.33 (all_20_10 = e12)) & ( ~ (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | BETA: splitting (7) gives:
% 59.30/9.33 |
% 59.30/9.33 | Case 1:
% 59.30/9.33 | |
% 59.30/9.33 | | (8) all_20_3 = e13 & ~ (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 59.30/9.33 | | (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~ (all_20_5 = e10) |
% 59.30/9.33 | | ~ (all_20_15 = e12))
% 59.30/9.33 | |
% 59.30/9.33 | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #128.
% 59.30/9.33 | |
% 59.30/9.33 | Case 2:
% 59.30/9.33 | |
% 59.30/9.33 | | (9) (all_20_4 = e11 & ~ (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 59.30/9.33 | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~ (all_20_5 = e10) |
% 59.30/9.33 | | ~ (all_20_15 = e12))) | (all_20_5 = e10 & ~ (all_20_12 = e12) &
% 59.30/9.33 | | ~ (all_20_15 = e12) & ( ~ (all_20_3 = e13) | ~ (all_20_10 = e12))
% 59.30/9.33 | | & ( ~ (all_20_4 = e11) | ~ (all_20_14 = e12)))
% 59.30/9.33 | |
% 59.30/9.33 | | BETA: splitting (9) gives:
% 59.30/9.33 | |
% 59.30/9.33 | | Case 1:
% 59.30/9.33 | | |
% 59.30/9.33 | | | (10) all_20_4 = e11 & ~ (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 59.30/9.33 | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~ (all_20_5 = e10)
% 59.30/9.33 | | | | ~ (all_20_15 = e12))
% 59.30/9.33 | | |
% 59.30/9.33 | | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #127.
% 59.30/9.33 | | |
% 59.30/9.33 | | Case 2:
% 59.30/9.33 | | |
% 59.30/9.33 | | | (11) all_20_5 = e10 & ~ (all_20_12 = e12) & ~ (all_20_15 = e12) & ( ~
% 59.30/9.33 | | | (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~ (all_20_4 = e11)
% 59.30/9.33 | | | | ~ (all_20_14 = e12))
% 59.30/9.33 | | |
% 59.30/9.33 | | | ALPHA: (11) implies:
% 59.30/9.33 | | | (12) all_20_5 = e10
% 59.30/9.33 | | |
% 59.30/9.33 | | | COMBINE_EQS: (3), (12) imply:
% 59.30/9.33 | | | (13) all_12_7 = e10
% 59.30/9.33 | | |
% 59.30/9.33 | | | SIMP: (13) implies:
% 59.30/9.33 | | | (14) all_12_7 = e10
% 59.30/9.33 | | |
% 59.30/9.33 | | | REDUCE: (6), (14) imply:
% 59.30/9.33 | | | (15) $false
% 59.30/9.33 | | |
% 59.30/9.33 | | | CLOSE: (15) is inconsistent.
% 59.30/9.33 | | |
% 59.30/9.33 | | End of split
% 59.30/9.33 | |
% 59.30/9.33 | End of split
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #127 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_4 = e11 & ~ (all_20_12 = e12) & ~ (all_20_14 = e12) & ( ~
% 59.30/9.33 (all_20_3 = e13) | ~ (all_20_10 = e12)) & ( ~ (all_20_5 = e10) | ~
% 59.30/9.33 (all_20_15 = e12))
% 59.30/9.33 (2) all_20_4 = all_12_6
% 59.30/9.33 (3) ~ (all_12_6 = e11)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | ALPHA: (1) implies:
% 59.30/9.33 | (4) all_20_4 = e11
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.33 | (5) all_12_6 = e11
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (5) implies:
% 59.30/9.33 | (6) all_12_6 = e11
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (6) imply:
% 59.30/9.33 | (7) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (7) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #128 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_3 = e13 & ~ (all_20_10 = e12) & ~ (all_20_12 = e12) & ( ~
% 59.30/9.33 (all_20_4 = e11) | ~ (all_20_14 = e12)) & ( ~ (all_20_5 = e10) | ~
% 59.30/9.33 (all_20_15 = e12))
% 59.30/9.33 (2) all_20_3 = all_12_4
% 59.30/9.33 (3) ~ (all_12_4 = e13)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | ALPHA: (1) implies:
% 59.30/9.33 | (4) all_20_3 = e13
% 59.30/9.33 |
% 59.30/9.33 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.33 | (5) all_12_4 = e13
% 59.30/9.33 |
% 59.30/9.33 | SIMP: (5) implies:
% 59.30/9.33 | (6) all_12_4 = e13
% 59.30/9.33 |
% 59.30/9.33 | REDUCE: (3), (6) imply:
% 59.30/9.33 | (7) $false
% 59.30/9.33 |
% 59.30/9.33 | CLOSE: (7) is inconsistent.
% 59.30/9.33 |
% 59.30/9.33 End of proof
% 59.30/9.33
% 59.30/9.33 Sub-proof #129 shows that the following formulas are inconsistent:
% 59.30/9.33 ----------------------------------------------------------------
% 59.30/9.33 (1) all_20_1 = all_12_2
% 59.30/9.33 (2) all_20_0 = e10
% 59.30/9.33 (3) ~ (all_12_2 = e11)
% 59.30/9.33 (4) ~ (e12 = e10)
% 59.30/9.33 (5) (all_20_0 = e12 & ~ (all_20_10 = e13) & ~ (all_20_12 = e13) & ( ~
% 59.30/9.33 (all_20_1 = e11) | ~ (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 59.30/9.33 (all_20_15 = e13))) | (all_20_1 = e11 & ~ (all_20_10 = e13) & ~
% 59.30/9.33 (all_20_14 = e13) & ( ~ (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~
% 59.30/9.33 (all_20_2 = e10) | ~ (all_20_15 = e13))) | (all_20_2 = e10 & ~
% 59.30/9.33 (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~
% 59.30/9.33 (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~ (all_20_14 = e13)))
% 59.30/9.33 (6) all_20_2 = all_12_3
% 59.30/9.33 (7) ~ (all_12_3 = e10)
% 59.30/9.33
% 59.30/9.33 Begin of proof
% 59.30/9.33 |
% 59.30/9.33 | BETA: splitting (5) gives:
% 59.30/9.33 |
% 59.30/9.33 | Case 1:
% 59.30/9.33 | |
% 59.30/9.34 | | (8) all_20_0 = e12 & ~ (all_20_10 = e13) & ~ (all_20_12 = e13) & ( ~
% 59.30/9.34 | | (all_20_1 = e11) | ~ (all_20_14 = e13)) & ( ~ (all_20_2 = e10) |
% 59.30/9.34 | | ~ (all_20_15 = e13))
% 59.30/9.34 | |
% 59.30/9.34 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #131.
% 59.30/9.34 | |
% 59.30/9.34 | Case 2:
% 59.30/9.34 | |
% 59.30/9.34 | | (9) (all_20_1 = e11 & ~ (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 59.30/9.34 | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_2 = e10) |
% 59.30/9.34 | | ~ (all_20_15 = e13))) | (all_20_2 = e10 & ~ (all_20_10 = e13) &
% 59.30/9.34 | | ~ (all_20_15 = e13) & ( ~ (all_20_0 = e12) | ~ (all_20_12 = e13))
% 59.30/9.34 | | & ( ~ (all_20_1 = e11) | ~ (all_20_14 = e13)))
% 59.30/9.34 | |
% 59.30/9.34 | | BETA: splitting (9) gives:
% 59.30/9.34 | |
% 59.30/9.34 | | Case 1:
% 59.30/9.34 | | |
% 59.30/9.34 | | | (10) all_20_1 = e11 & ~ (all_20_10 = e13) & ~ (all_20_14 = e13) & ( ~
% 59.30/9.34 | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_2 = e10)
% 59.30/9.34 | | | | ~ (all_20_15 = e13))
% 59.30/9.34 | | |
% 59.30/9.34 | | | ALPHA: (10) implies:
% 59.30/9.34 | | | (11) all_20_1 = e11
% 59.30/9.34 | | |
% 59.30/9.34 | | | COMBINE_EQS: (1), (11) imply:
% 59.30/9.34 | | | (12) all_12_2 = e11
% 59.30/9.34 | | |
% 59.30/9.34 | | | SIMP: (12) implies:
% 59.30/9.34 | | | (13) all_12_2 = e11
% 59.30/9.34 | | |
% 59.30/9.34 | | | REDUCE: (3), (13) imply:
% 59.30/9.34 | | | (14) $false
% 59.30/9.34 | | |
% 59.30/9.34 | | | CLOSE: (14) is inconsistent.
% 59.30/9.34 | | |
% 59.30/9.34 | | Case 2:
% 59.30/9.34 | | |
% 59.30/9.34 | | | (15) all_20_2 = e10 & ~ (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 59.30/9.34 | | | (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_1 = e11)
% 59.30/9.34 | | | | ~ (all_20_14 = e13))
% 59.30/9.34 | | |
% 59.30/9.34 | | | REF_CLOSE: (6), (7), (15) are inconsistent by sub-proof #130.
% 59.30/9.34 | | |
% 59.30/9.34 | | End of split
% 59.30/9.34 | |
% 59.30/9.34 | End of split
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34
% 59.30/9.34 Sub-proof #130 shows that the following formulas are inconsistent:
% 59.30/9.34 ----------------------------------------------------------------
% 59.30/9.34 (1) all_20_2 = e10 & ~ (all_20_10 = e13) & ~ (all_20_15 = e13) & ( ~
% 59.30/9.34 (all_20_0 = e12) | ~ (all_20_12 = e13)) & ( ~ (all_20_1 = e11) | ~
% 59.30/9.34 (all_20_14 = e13))
% 59.30/9.34 (2) all_20_2 = all_12_3
% 59.30/9.34 (3) ~ (all_12_3 = e10)
% 59.30/9.34
% 59.30/9.34 Begin of proof
% 59.30/9.34 |
% 59.30/9.34 | ALPHA: (1) implies:
% 59.30/9.34 | (4) all_20_2 = e10
% 59.30/9.34 |
% 59.30/9.34 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.34 | (5) all_12_3 = e10
% 59.30/9.34 |
% 59.30/9.34 | SIMP: (5) implies:
% 59.30/9.34 | (6) all_12_3 = e10
% 59.30/9.34 |
% 59.30/9.34 | REDUCE: (3), (6) imply:
% 59.30/9.34 | (7) $false
% 59.30/9.34 |
% 59.30/9.34 | CLOSE: (7) is inconsistent.
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34
% 59.30/9.34 Sub-proof #131 shows that the following formulas are inconsistent:
% 59.30/9.34 ----------------------------------------------------------------
% 59.30/9.34 (1) all_20_0 = e12 & ~ (all_20_10 = e13) & ~ (all_20_12 = e13) & ( ~
% 59.30/9.34 (all_20_1 = e11) | ~ (all_20_14 = e13)) & ( ~ (all_20_2 = e10) | ~
% 59.30/9.34 (all_20_15 = e13))
% 59.30/9.34 (2) all_20_0 = e10
% 59.30/9.34 (3) ~ (e12 = e10)
% 59.30/9.34
% 59.30/9.34 Begin of proof
% 59.30/9.34 |
% 59.30/9.34 | ALPHA: (1) implies:
% 59.30/9.34 | (4) all_20_0 = e12
% 59.30/9.34 |
% 59.30/9.34 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.34 | (5) e12 = e10
% 59.30/9.34 |
% 59.30/9.34 | REDUCE: (3), (5) imply:
% 59.30/9.34 | (6) $false
% 59.30/9.34 |
% 59.30/9.34 | CLOSE: (6) is inconsistent.
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34
% 59.30/9.34 Sub-proof #132 shows that the following formulas are inconsistent:
% 59.30/9.34 ----------------------------------------------------------------
% 59.30/9.34 (1) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 = e13) & ( ~
% 59.30/9.34 (all_20_14 = e12) | all_20_4 = e11) & ( ~ (all_20_15 = e12) | all_20_5
% 59.30/9.34 = e10)
% 59.30/9.34 (2) all_20_12 = e13
% 59.30/9.34 (3) ~ (e13 = e12)
% 59.30/9.34
% 59.30/9.34 Begin of proof
% 59.30/9.34 |
% 59.30/9.34 | ALPHA: (1) implies:
% 59.30/9.34 | (4) all_20_12 = e12
% 59.30/9.34 |
% 59.30/9.34 | COMBINE_EQS: (2), (4) imply:
% 59.30/9.34 | (5) e13 = e12
% 59.30/9.34 |
% 59.30/9.34 | SIMP: (5) implies:
% 59.30/9.34 | (6) e13 = e12
% 59.30/9.34 |
% 59.30/9.34 | REDUCE: (3), (6) imply:
% 59.30/9.34 | (7) $false
% 59.30/9.34 |
% 59.30/9.34 | CLOSE: (7) is inconsistent.
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34
% 59.30/9.34 Sub-proof #133 shows that the following formulas are inconsistent:
% 59.30/9.34 ----------------------------------------------------------------
% 59.30/9.34 (1) ~ (all_20_12 = e13) | all_20_0 = e12
% 59.30/9.34 (2) all_20_12 = e13
% 59.30/9.34 (3) all_20_0 = e10
% 59.30/9.34 (4) ~ (e12 = e10)
% 59.30/9.34
% 59.30/9.34 Begin of proof
% 59.30/9.34 |
% 59.30/9.34 | BETA: splitting (1) gives:
% 59.30/9.34 |
% 59.30/9.34 | Case 1:
% 59.30/9.34 | |
% 59.30/9.34 | | (5) ~ (all_20_12 = e13)
% 59.30/9.34 | |
% 59.30/9.34 | | REDUCE: (2), (5) imply:
% 59.30/9.34 | | (6) $false
% 59.30/9.34 | |
% 59.30/9.34 | | CLOSE: (6) is inconsistent.
% 59.30/9.34 | |
% 59.30/9.34 | Case 2:
% 59.30/9.34 | |
% 59.30/9.34 | | (7) all_20_0 = e12
% 59.30/9.34 | |
% 59.30/9.34 | | COMBINE_EQS: (3), (7) imply:
% 59.30/9.34 | | (8) e12 = e10
% 59.30/9.34 | |
% 59.30/9.34 | | REDUCE: (4), (8) imply:
% 59.30/9.34 | | (9) $false
% 59.30/9.34 | |
% 59.30/9.34 | | CLOSE: (9) is inconsistent.
% 59.30/9.34 | |
% 59.30/9.34 | End of split
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34
% 59.30/9.34 Sub-proof #134 shows that the following formulas are inconsistent:
% 59.30/9.34 ----------------------------------------------------------------
% 59.30/9.34 (1) all_26_3 = e23
% 59.30/9.34 (2) all_26_3 = e22
% 59.30/9.34 (3) ~ (e23 = e22)
% 59.30/9.34
% 59.30/9.34 Begin of proof
% 59.30/9.34 |
% 59.30/9.34 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.34 | (4) e23 = e22
% 59.30/9.34 |
% 59.30/9.34 | SIMP: (4) implies:
% 59.30/9.34 | (5) e23 = e22
% 59.30/9.34 |
% 59.30/9.34 | REDUCE: (3), (5) imply:
% 59.30/9.34 | (6) $false
% 59.30/9.34 |
% 59.30/9.34 | CLOSE: (6) is inconsistent.
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34
% 59.30/9.34 Sub-proof #135 shows that the following formulas are inconsistent:
% 59.30/9.34 ----------------------------------------------------------------
% 59.30/9.34 (1) all_24_3 = e13
% 59.30/9.34 (2) all_24_3 = e12
% 59.30/9.34 (3) ~ (e13 = e12)
% 59.30/9.34
% 59.30/9.34 Begin of proof
% 59.30/9.34 |
% 59.30/9.34 | COMBINE_EQS: (1), (2) imply:
% 59.30/9.34 | (4) e13 = e12
% 59.30/9.34 |
% 59.30/9.34 | SIMP: (4) implies:
% 59.30/9.34 | (5) e13 = e12
% 59.30/9.34 |
% 59.30/9.34 | REDUCE: (3), (5) imply:
% 59.30/9.34 | (6) $false
% 59.30/9.34 |
% 59.30/9.34 | CLOSE: (6) is inconsistent.
% 59.30/9.34 |
% 59.30/9.34 End of proof
% 59.30/9.34 % SZS output end Proof for theBenchmark
% 59.30/9.34
% 59.30/9.34 8752ms
%------------------------------------------------------------------------------