TSTP Solution File: ALG106+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG106+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 : n015.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 16:36:22 EDT 2023
% Result : Theorem 26.37s 4.34s
% Output : Proof 59.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG106+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 05:27:24 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.60 ________ _____
% 0.18/0.60 ___ __ \_________(_)________________________________
% 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.60
% 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.60 (2023-06-19)
% 0.18/0.60
% 0.18/0.60 (c) Philipp Rümmer, 2009-2023
% 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.60 Amanda Stjerna.
% 0.18/0.60 Free software under BSD-3-Clause.
% 0.18/0.60
% 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.60
% 0.18/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.61 Running up to 7 provers in parallel.
% 0.18/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.99/1.83 Prover 4: Preprocessing ...
% 8.20/1.93 Prover 0: Preprocessing ...
% 8.20/1.93 Prover 2: Preprocessing ...
% 8.20/1.93 Prover 6: Preprocessing ...
% 8.20/1.93 Prover 3: Preprocessing ...
% 8.77/1.98 Prover 1: Preprocessing ...
% 9.14/2.00 Prover 5: Preprocessing ...
% 15.59/3.03 Prover 6: Constructing countermodel ...
% 15.59/3.04 Prover 4: Constructing countermodel ...
% 15.59/3.04 Prover 0: Constructing countermodel ...
% 16.96/3.05 Prover 3: Constructing countermodel ...
% 16.96/3.06 Prover 2: Constructing countermodel ...
% 16.96/3.07 Prover 1: Constructing countermodel ...
% 24.67/4.11 Prover 5: Constructing countermodel ...
% 26.37/4.34 Prover 3: proved (3703ms)
% 26.37/4.34
% 26.37/4.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.37/4.34
% 26.37/4.35 Prover 2: stopped
% 26.37/4.36 Prover 5: stopped
% 26.37/4.36 Prover 6: stopped
% 26.37/4.37 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 26.37/4.37 Prover 0: stopped
% 26.37/4.37 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 26.37/4.37 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 26.37/4.37 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 26.37/4.37 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 29.16/4.72 Prover 7: Preprocessing ...
% 29.16/4.74 Prover 10: Preprocessing ...
% 30.51/4.90 Prover 8: Preprocessing ...
% 30.51/4.92 Prover 13: Preprocessing ...
% 30.51/4.93 Prover 11: Preprocessing ...
% 32.68/5.30 Prover 8: Constructing countermodel ...
% 32.68/5.38 Prover 7: Constructing countermodel ...
% 34.70/5.50 Prover 10: Constructing countermodel ...
% 35.04/5.56 Prover 11: Constructing countermodel ...
% 35.69/5.63 Prover 13: Constructing countermodel ...
% 53.05/8.02 Prover 4: Found proof (size 3641)
% 53.05/8.02 Prover 4: proved (7387ms)
% 53.05/8.02 Prover 10: stopped
% 53.05/8.02 Prover 11: stopped
% 53.05/8.02 Prover 13: stopped
% 53.05/8.02 Prover 7: stopped
% 53.05/8.02 Prover 8: stopped
% 54.11/8.04 Prover 1: Found proof (size 3497)
% 54.11/8.04 Prover 1: proved (7423ms)
% 54.11/8.04
% 54.11/8.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.11/8.04
% 55.70/8.61 % SZS output start Proof for theBenchmark
% 55.70/8.62 Assumptions after simplification:
% 55.70/8.62 ---------------------------------
% 55.70/8.62
% 55.70/8.62 (ax1)
% 56.17/8.68 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.17/8.68 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.17/8.68 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.17/8.68 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 56.17/8.68 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 56.17/8.68 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 56.17/8.68 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 56.17/8.68 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 56.17/8.68 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 56.17/8.68 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 56.17/8.68 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 56.17/8.68 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 56.17/8.68 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 56.17/8.68 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 56.17/8.68 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 56.17/8.68 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 56.17/8.68 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 56.17/8.68 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 56.17/8.68 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 56.17/8.68 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 56.17/8.68 | v0 = e11 | v0 = e10))
% 56.17/8.68
% 56.17/8.68 (ax10)
% 56.17/8.70 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.17/8.70 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.17/8.70 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.17/8.70 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 56.17/8.70 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 56.17/8.70 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 56.17/8.70 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v30) = v31
% 56.17/8.70 & op1(e13, v22) = v23 & op1(e13, v14) = v15 & op1(e13, v6) = v7 & op1(e13,
% 56.17/8.70 e13) = v30 & op1(e13, e12) = v22 & op1(e13, e11) = v14 & op1(e13, e10) =
% 56.17/8.70 v6 & op1(e12, v28) = v29 & op1(e12, v20) = v21 & op1(e12, v12) = v13 &
% 56.17/8.70 op1(e12, v4) = v5 & op1(e12, e13) = v28 & op1(e12, e12) = v20 & op1(e12,
% 56.17/8.70 e11) = v12 & op1(e12, e10) = v4 & op1(e11, v26) = v27 & op1(e11, v18) =
% 56.17/8.70 v19 & op1(e11, v10) = v11 & op1(e11, v2) = v3 & op1(e11, e13) = v26 &
% 56.17/8.70 op1(e11, e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 & op1(e10,
% 56.17/8.70 v24) = v25 & op1(e10, v16) = v17 & op1(e10, v8) = v9 & op1(e10, v0) = v1 &
% 56.17/8.70 op1(e10, e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10,
% 56.17/8.70 e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 56.17/8.70 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 56.17/8.70 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 56.17/8.70 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 56.17/8.70 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = e13 | v29 = e12 | v27 = e11 | v25
% 56.17/8.70 = e10) & (v23 = e13 | v21 = e12 | v19 = e11 | v17 = e10) & (v15 = e13 |
% 56.17/8.70 v13 = e12 | v11 = e11 | v9 = e10) & (v7 = e13 | v5 = e12 | v3 = e11 | v1 =
% 56.17/8.70 e10) & ((v28 = e13 & v22 = e13 & ~ (v30 = e12) & ~ (v20 = e12) & ~ (v10
% 56.17/8.70 = e12) & ~ (v0 = e12)) | (v28 = e12 & v22 = e12 & ~ (v30 = e13) & ~
% 56.17/8.70 (v20 = e13) & ~ (v10 = e13) & ~ (v0 = e13)) | (v26 = e13 & v14 = e13 &
% 56.17/8.70 ~ (v30 = e11) & ~ (v20 = e11) & ~ (v10 = e11) & ~ (v0 = e11)) | (v26
% 56.17/8.70 = e11 & v14 = e11 & ~ (v30 = e13) & ~ (v20 = e13) & ~ (v10 = e13) &
% 56.17/8.70 ~ (v0 = e13)) | (v24 = e13 & v6 = e13 & ~ (v30 = e10) & ~ (v20 = e10)
% 56.17/8.70 & ~ (v10 = e10) & ~ (v0 = e10)) | (v24 = e10 & v6 = e10 & ~ (v30 =
% 56.17/8.70 e13) & ~ (v20 = e13) & ~ (v10 = e13) & ~ (v0 = e13)) | (v18 = e12 &
% 56.17/8.70 v12 = e12 & ~ (v30 = e11) & ~ (v20 = e11) & ~ (v10 = e11) & ~ (v0 =
% 56.17/8.70 e11)) | (v18 = e11 & v12 = e11 & ~ (v30 = e12) & ~ (v20 = e12) & ~
% 56.17/8.70 (v10 = e12) & ~ (v0 = e12)) | (v16 = e12 & v4 = e12 & ~ (v30 = e10) &
% 56.17/8.70 ~ (v20 = e10) & ~ (v10 = e10) & ~ (v0 = e10)) | (v16 = e10 & v4 = e10
% 56.17/8.70 & ~ (v30 = e12) & ~ (v20 = e12) & ~ (v10 = e12) & ~ (v0 = e12)) |
% 56.17/8.70 (v8 = e11 & v2 = e11 & ~ (v30 = e10) & ~ (v20 = e10) & ~ (v10 = e10) &
% 56.17/8.70 ~ (v0 = e10)) | (v8 = e10 & v2 = e10 & ~ (v30 = e11) & ~ (v20 = e11) &
% 56.17/8.70 ~ (v10 = e11) & ~ (v0 = e11))))
% 56.17/8.70
% 56.17/8.70 (ax11)
% 56.17/8.71 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.17/8.71 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.17/8.71 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.17/8.71 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 56.17/8.71 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 56.17/8.71 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 56.17/8.71 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v30) = v31
% 56.17/8.71 & op2(e23, v22) = v23 & op2(e23, v14) = v15 & op2(e23, v6) = v7 & op2(e23,
% 56.17/8.71 e23) = v30 & op2(e23, e22) = v22 & op2(e23, e21) = v14 & op2(e23, e20) =
% 56.17/8.71 v6 & op2(e22, v28) = v29 & op2(e22, v20) = v21 & op2(e22, v12) = v13 &
% 56.17/8.71 op2(e22, v4) = v5 & op2(e22, e23) = v28 & op2(e22, e22) = v20 & op2(e22,
% 56.17/8.71 e21) = v12 & op2(e22, e20) = v4 & op2(e21, v26) = v27 & op2(e21, v18) =
% 56.17/8.71 v19 & op2(e21, v10) = v11 & op2(e21, v2) = v3 & op2(e21, e23) = v26 &
% 56.17/8.71 op2(e21, e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 & op2(e20,
% 56.17/8.71 v24) = v25 & op2(e20, v16) = v17 & op2(e20, v8) = v9 & op2(e20, v0) = v1 &
% 56.17/8.71 op2(e20, e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20,
% 56.17/8.71 e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 56.17/8.71 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 56.17/8.71 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 56.17/8.71 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 56.17/8.71 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = e23 | v29 = e22 | v27 = e21 | v25
% 56.17/8.71 = e20) & (v23 = e23 | v21 = e22 | v19 = e21 | v17 = e20) & (v15 = e23 |
% 56.17/8.71 v13 = e22 | v11 = e21 | v9 = e20) & (v7 = e23 | v5 = e22 | v3 = e21 | v1 =
% 56.17/8.71 e20) & ((v28 = e23 & v22 = e23 & ~ (v30 = e22) & ~ (v20 = e22) & ~ (v10
% 56.17/8.71 = e22) & ~ (v0 = e22)) | (v28 = e22 & v22 = e22 & ~ (v30 = e23) & ~
% 56.17/8.71 (v20 = e23) & ~ (v10 = e23) & ~ (v0 = e23)) | (v26 = e23 & v14 = e23 &
% 56.17/8.71 ~ (v30 = e21) & ~ (v20 = e21) & ~ (v10 = e21) & ~ (v0 = e21)) | (v26
% 56.17/8.71 = e21 & v14 = e21 & ~ (v30 = e23) & ~ (v20 = e23) & ~ (v10 = e23) &
% 56.17/8.71 ~ (v0 = e23)) | (v24 = e23 & v6 = e23 & ~ (v30 = e20) & ~ (v20 = e20)
% 56.17/8.71 & ~ (v10 = e20) & ~ (v0 = e20)) | (v24 = e20 & v6 = e20 & ~ (v30 =
% 56.17/8.71 e23) & ~ (v20 = e23) & ~ (v10 = e23) & ~ (v0 = e23)) | (v18 = e22 &
% 56.17/8.71 v12 = e22 & ~ (v30 = e21) & ~ (v20 = e21) & ~ (v10 = e21) & ~ (v0 =
% 56.17/8.71 e21)) | (v18 = e21 & v12 = e21 & ~ (v30 = e22) & ~ (v20 = e22) & ~
% 56.17/8.71 (v10 = e22) & ~ (v0 = e22)) | (v16 = e22 & v4 = e22 & ~ (v30 = e20) &
% 56.17/8.71 ~ (v20 = e20) & ~ (v10 = e20) & ~ (v0 = e20)) | (v16 = e20 & v4 = e20
% 56.17/8.71 & ~ (v30 = e22) & ~ (v20 = e22) & ~ (v10 = e22) & ~ (v0 = e22)) |
% 56.17/8.71 (v8 = e21 & v2 = e21 & ~ (v30 = e20) & ~ (v20 = e20) & ~ (v10 = e20) &
% 56.17/8.71 ~ (v0 = e20)) | (v8 = e20 & v2 = e20 & ~ (v30 = e21) & ~ (v20 = e21) &
% 56.17/8.71 ~ (v10 = e21) & ~ (v0 = e21))))
% 56.17/8.71
% 56.17/8.71 (ax12)
% 56.17/8.71 op1(e13, e13) = e11 & op1(e13, e11) = e12 & op1(e12, e13) = e10 & $i(e13) &
% 56.17/8.71 $i(e12) & $i(e11) & $i(e10)
% 56.17/8.71
% 56.17/8.71 (ax13)
% 56.17/8.71 op2(e23, e23) = e21 & op2(e23, e21) = e22 & op2(e22, e23) = e20 & $i(e23) &
% 56.17/8.71 $i(e22) & $i(e21) & $i(e20)
% 56.17/8.71
% 56.17/8.71 (ax14)
% 56.17/8.71 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 56.17/8.71 ? [v2: $i] : (h1(e13) = e20 & h1(e12) = v2 & h1(e11) = v1 & h1(e10) = v0 &
% 56.17/8.71 op2(v2, e20) = v0 & op2(e20, v1) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 56.17/8.71 & $i(v0))
% 56.17/8.71
% 56.17/8.71 (ax15)
% 56.17/8.71 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 56.17/8.71 ? [v2: $i] : (h2(e13) = e21 & h2(e12) = v2 & h2(e11) = v1 & h2(e10) = v0 &
% 56.17/8.71 op2(v2, e21) = v0 & op2(e21, v1) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 56.17/8.71 & $i(v0))
% 56.17/8.71
% 56.17/8.71 (ax16)
% 56.17/8.72 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 56.17/8.72 ? [v2: $i] : (h3(e13) = e22 & h3(e12) = v2 & h3(e11) = v1 & h3(e10) = v0 &
% 56.17/8.72 op2(v2, e22) = v0 & op2(e22, v1) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 56.17/8.72 & $i(v0))
% 56.17/8.72
% 56.17/8.72 (ax17)
% 56.17/8.72 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 56.17/8.72 ? [v2: $i] : (h4(e13) = e23 & h4(e12) = v2 & h4(e11) = v1 & h4(e10) = v0 &
% 56.17/8.72 op2(v2, e23) = v0 & op2(e23, v1) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 56.17/8.72 & $i(v0))
% 56.17/8.72
% 56.17/8.72 (ax2)
% 56.17/8.73 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.17/8.73 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.17/8.73 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.17/8.73 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 56.17/8.73 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 56.17/8.73 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 56.17/8.73 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 56.17/8.73 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 56.17/8.73 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 56.17/8.73 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 56.17/8.73 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 56.17/8.73 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 56.17/8.73 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 56.17/8.73 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 56.17/8.73 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 56.17/8.73 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 56.17/8.73 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 56.17/8.73 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 56.17/8.73 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 56.17/8.73 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 56.17/8.73 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 56.17/8.73 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 56.17/8.73 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 56.17/8.73 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 56.17/8.73 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 56.17/8.73 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 56.17/8.73 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 56.17/8.73 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 56.17/8.73 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 56.17/8.73 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 56.17/8.73 (v3 = e10 | v2 = e10 | v1 = e10))))
% 56.17/8.73
% 56.17/8.73 (ax3)
% 56.57/8.73 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.57/8.73 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.57/8.73 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.57/8.73 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 56.57/8.73 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 56.57/8.73 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 56.57/8.73 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 56.57/8.73 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 56.57/8.73 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 56.57/8.73 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 56.57/8.73 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 56.57/8.73 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 56.57/8.73 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 56.57/8.73 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 56.57/8.73 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 56.57/8.73 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 56.57/8.73 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 56.57/8.73 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 56.57/8.73 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 56.57/8.73 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 56.57/8.73 | v0 = e21 | v0 = e20))
% 56.57/8.73
% 56.57/8.73 (ax4)
% 56.57/8.74 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.57/8.74 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.57/8.74 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.57/8.74 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 56.57/8.74 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 56.57/8.74 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 56.57/8.74 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 56.57/8.74 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 56.57/8.74 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 56.57/8.74 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 56.57/8.74 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 56.57/8.74 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 56.57/8.74 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 56.57/8.74 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 56.57/8.74 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 56.57/8.74 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 56.57/8.74 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 56.57/8.74 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 56.57/8.74 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 56.57/8.74 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 56.57/8.74 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 56.57/8.74 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 56.57/8.74 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 56.57/8.74 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 56.57/8.74 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 56.57/8.74 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 56.57/8.74 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 56.57/8.74 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 56.57/8.74 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 56.57/8.74 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 56.57/8.74 (v3 = e20 | v2 = e20 | v1 = e20))))
% 56.57/8.74
% 56.57/8.74 (ax5)
% 56.57/8.75 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.57/8.75 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.57/8.75 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.57/8.75 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 56.57/8.75 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 56.57/8.75 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 56.57/8.75 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 56.57/8.75 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 56.57/8.75 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 56.57/8.75 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 56.57/8.75 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 56.57/8.75 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 56.57/8.75 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 56.57/8.75 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 56.57/8.75 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 56.57/8.75 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 56.57/8.75 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 56.57/8.75 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 56.57/8.75 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 56.57/8.75 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 56.57/8.75 $i(v1) & $i(v0))
% 56.57/8.75
% 56.57/8.75 (ax6)
% 56.57/8.76 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 56.57/8.76 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 56.57/8.76 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 56.57/8.76 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 56.57/8.76 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 56.57/8.76 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 56.57/8.76 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 56.57/8.76 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 56.57/8.76 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 56.57/8.76 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 56.57/8.76 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 56.57/8.76 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 56.57/8.76 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 56.57/8.76 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 56.57/8.76 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 56.57/8.76 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 56.57/8.76 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 56.57/8.76 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 56.57/8.76 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 56.57/8.76 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 56.57/8.76 $i(v1) & $i(v0))
% 56.57/8.76
% 56.57/8.76 (ax8)
% 56.57/8.76 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 56.57/8.76 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 56.57/8.76
% 56.57/8.76 (co1)
% 56.83/8.78 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 56.83/8.78 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 56.83/8.78 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 56.83/8.78 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 56.83/8.78 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 56.83/8.78 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 56.83/8.78 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 56.83/8.78 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 56.83/8.78 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 56.83/8.78 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 56.83/8.78 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 56.83/8.78 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 56.83/8.78 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 56.83/8.78 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 56.83/8.78 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 56.83/8.78 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 56.83/8.78 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 56.83/8.78 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 56.83/8.78 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 56.83/8.78 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 56.83/8.78 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 56.83/8.78 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 56.83/8.78 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 56.83/8.78 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 56.83/8.78 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 56.83/8.78 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 56.83/8.78 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 56.83/8.78 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 56.83/8.78 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 56.83/8.78 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 56.83/8.78 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 56.83/8.78 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 56.83/8.78 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 56.83/8.78 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 56.83/8.78 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 56.83/8.78 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 56.83/8.78 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 56.83/8.78 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 56.83/8.78 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 56.83/8.78 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 56.83/8.78 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 56.83/8.78 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 56.83/8.78 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 56.83/8.78 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 56.83/8.78 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 56.83/8.78 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 56.83/8.78 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 56.83/8.78 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 56.83/8.78 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 56.83/8.78 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 56.83/8.78 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 56.83/8.78 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 56.83/8.78 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 56.83/8.78 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 56.83/8.78 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 56.83/8.78 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 56.83/8.78 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 56.83/8.79 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 56.83/8.79 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 56.83/8.79 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 56.83/8.79 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 56.83/8.79 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 56.83/8.79 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 56.83/8.79 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 56.83/8.79 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 56.83/8.79 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 56.83/8.79 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 56.83/8.79 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 56.83/8.79 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 56.83/8.79 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 56.83/8.79 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 56.83/8.79 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 56.83/8.79 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 56.83/8.79 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 56.83/8.79 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 56.83/8.79 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 56.83/8.79 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 56.83/8.79 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 56.83/8.79 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 56.83/8.79 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 56.83/8.79 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 56.83/8.79 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 56.83/8.79 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 56.83/8.79 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 56.83/8.79 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 56.83/8.79 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 56.83/8.79 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 56.83/8.79 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 56.83/8.79 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 56.83/8.79 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 56.83/8.79 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 56.83/8.79 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 56.83/8.79 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 56.83/8.79 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 56.83/8.79 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 56.83/8.79 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 56.83/8.79 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 56.83/8.79 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 56.83/8.79 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 56.83/8.79 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 56.83/8.79 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 56.83/8.79 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 56.83/8.79 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 56.83/8.79 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 56.83/8.79 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 56.83/8.79 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 56.83/8.79 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 56.83/8.79 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 56.83/8.79 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 56.83/8.79 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 56.83/8.79 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 56.83/8.79 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 56.83/8.79 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 56.83/8.79 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 56.83/8.79 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 56.83/8.79 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 56.83/8.79 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 56.83/8.79 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 56.83/8.79 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 56.83/8.79 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 56.83/8.79 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 56.83/8.79 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 56.83/8.79 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 56.83/8.79 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 56.83/8.79 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 56.83/8.79 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 56.83/8.79 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 56.83/8.79 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 56.83/8.79 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 56.83/8.79 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 56.83/8.79
% 56.83/8.79 (function-axioms)
% 56.83/8.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 56.83/8.79 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 56.83/8.79 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 56.83/8.79 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 56.83/8.79 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 56.83/8.79 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 56.83/8.79 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 56.83/8.79 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 56.83/8.79
% 56.83/8.79 Further assumptions not needed in the proof:
% 56.83/8.79 --------------------------------------------
% 56.83/8.79 ax7, ax9
% 56.83/8.79
% 56.83/8.79 Those formulas are unsatisfiable:
% 56.83/8.79 ---------------------------------
% 56.83/8.79
% 56.83/8.79 Begin of proof
% 56.83/8.79 |
% 56.83/8.79 | ALPHA: (ax1) implies:
% 56.83/8.80 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.80 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.80 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 56.83/8.80 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 56.83/8.80 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 56.83/8.80 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 56.83/8.80 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 56.83/8.80 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 56.83/8.80 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 56.83/8.80 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 56.83/8.80 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 56.83/8.80 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 56.83/8.80 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 56.83/8.80 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 56.83/8.80 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 56.83/8.80 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 56.83/8.80 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 56.83/8.80 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 56.83/8.80 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 56.83/8.80 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 56.83/8.80 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 56.83/8.80 |
% 56.83/8.80 | ALPHA: (ax2) implies:
% 56.83/8.80 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.80 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.80 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 56.83/8.80 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 56.83/8.80 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 56.83/8.80 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 56.83/8.80 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 56.83/8.80 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 56.83/8.80 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 56.83/8.80 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 56.83/8.80 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 56.83/8.80 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 56.83/8.80 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 56.83/8.80 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 56.83/8.80 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 56.83/8.80 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 56.83/8.80 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 56.83/8.80 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 56.83/8.80 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 56.83/8.80 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 56.83/8.80 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 56.83/8.80 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 56.83/8.80 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 56.83/8.80 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 56.83/8.80 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 56.83/8.80 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 56.83/8.80 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 56.83/8.80 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 56.83/8.80 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 56.83/8.80 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 56.83/8.80 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 56.83/8.80 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 56.83/8.80 | = e10))))
% 56.83/8.81 |
% 56.83/8.81 | ALPHA: (ax3) implies:
% 56.83/8.81 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.81 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.81 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.81 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 56.83/8.81 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 56.83/8.81 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 56.83/8.81 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 56.83/8.81 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 56.83/8.81 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 56.83/8.81 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 56.83/8.81 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 56.83/8.81 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 56.83/8.81 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 56.83/8.81 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 56.83/8.81 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 56.83/8.81 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 56.83/8.81 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 56.83/8.81 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 56.83/8.81 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 56.83/8.81 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 56.83/8.81 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 56.83/8.81 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 56.83/8.81 |
% 56.83/8.81 | ALPHA: (ax4) implies:
% 56.83/8.82 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.82 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.82 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.82 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 56.83/8.82 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 56.83/8.82 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 56.83/8.82 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 56.83/8.82 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 56.83/8.82 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 56.83/8.82 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 56.83/8.82 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 56.83/8.82 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 56.83/8.82 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 56.83/8.82 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 56.83/8.82 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 56.83/8.82 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 56.83/8.82 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 56.83/8.82 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 56.83/8.82 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 56.83/8.82 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 56.83/8.82 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 56.83/8.82 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 56.83/8.82 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 56.83/8.82 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 56.83/8.82 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 56.83/8.82 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 56.83/8.82 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 56.83/8.82 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 56.83/8.82 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 56.83/8.82 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 56.83/8.82 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 56.83/8.82 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 56.83/8.82 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 56.83/8.82 | = e20))))
% 56.83/8.82 |
% 56.83/8.82 | ALPHA: (ax5) implies:
% 56.83/8.82 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.82 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.82 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.82 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 56.83/8.82 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 56.83/8.82 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 56.83/8.82 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 56.83/8.82 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 56.83/8.82 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 56.83/8.82 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 56.83/8.82 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 56.83/8.82 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 56.83/8.82 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 56.83/8.82 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 56.83/8.82 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 56.83/8.82 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 56.83/8.82 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 56.83/8.82 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 56.83/8.82 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 56.83/8.82 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 56.83/8.82 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 56.83/8.82 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 56.83/8.82 |
% 56.83/8.82 | ALPHA: (ax6) implies:
% 56.83/8.82 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.82 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.82 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.82 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 56.83/8.82 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 56.83/8.82 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 56.83/8.82 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 56.83/8.82 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 56.83/8.82 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 56.83/8.82 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 56.83/8.82 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 56.83/8.82 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 56.83/8.82 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 56.83/8.82 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 56.83/8.82 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 56.83/8.82 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 56.83/8.82 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 56.83/8.82 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 56.83/8.82 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 56.83/8.82 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 56.83/8.82 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 56.83/8.82 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 56.83/8.82 |
% 56.83/8.82 | ALPHA: (ax8) implies:
% 56.83/8.82 | (7) ~ (e22 = e20)
% 56.83/8.82 | (8) ~ (e23 = e21)
% 56.83/8.82 |
% 56.83/8.82 | ALPHA: (ax10) implies:
% 56.83/8.83 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.83 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 56.83/8.83 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 56.83/8.83 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 56.83/8.83 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 56.83/8.83 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] :
% 56.83/8.83 | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v30) = v31 &
% 56.83/8.83 | op1(e13, v22) = v23 & op1(e13, v14) = v15 & op1(e13, v6) = v7 &
% 56.83/8.83 | op1(e13, e13) = v30 & op1(e13, e12) = v22 & op1(e13, e11) = v14 &
% 56.83/8.83 | op1(e13, e10) = v6 & op1(e12, v28) = v29 & op1(e12, v20) = v21 &
% 56.83/8.83 | op1(e12, v12) = v13 & op1(e12, v4) = v5 & op1(e12, e13) = v28 &
% 56.83/8.83 | op1(e12, e12) = v20 & op1(e12, e11) = v12 & op1(e12, e10) = v4 &
% 56.83/8.83 | op1(e11, v26) = v27 & op1(e11, v18) = v19 & op1(e11, v10) = v11 &
% 56.83/8.83 | op1(e11, v2) = v3 & op1(e11, e13) = v26 & op1(e11, e12) = v18 &
% 56.83/8.83 | op1(e11, e11) = v10 & op1(e11, e10) = v2 & op1(e10, v24) = v25 &
% 56.83/8.83 | op1(e10, v16) = v17 & op1(e10, v8) = v9 & op1(e10, v0) = v1 &
% 56.83/8.83 | op1(e10, e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 &
% 56.83/8.83 | op1(e10, e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 56.83/8.83 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 56.83/8.83 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 56.83/8.83 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 56.83/8.83 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = e13 |
% 56.83/8.83 | v29 = e12 | v27 = e11 | v25 = e10) & (v23 = e13 | v21 = e12 | v19 =
% 56.83/8.83 | e11 | v17 = e10) & (v15 = e13 | v13 = e12 | v11 = e11 | v9 = e10) &
% 56.83/8.83 | (v7 = e13 | v5 = e12 | v3 = e11 | v1 = e10) & ((v28 = e13 & v22 = e13
% 56.83/8.83 | & ~ (v30 = e12) & ~ (v20 = e12) & ~ (v10 = e12) & ~ (v0 =
% 56.83/8.83 | e12)) | (v28 = e12 & v22 = e12 & ~ (v30 = e13) & ~ (v20 =
% 56.83/8.83 | e13) & ~ (v10 = e13) & ~ (v0 = e13)) | (v26 = e13 & v14 = e13
% 56.83/8.83 | & ~ (v30 = e11) & ~ (v20 = e11) & ~ (v10 = e11) & ~ (v0 =
% 56.83/8.83 | e11)) | (v26 = e11 & v14 = e11 & ~ (v30 = e13) & ~ (v20 =
% 56.83/8.83 | e13) & ~ (v10 = e13) & ~ (v0 = e13)) | (v24 = e13 & v6 = e13
% 56.83/8.83 | & ~ (v30 = e10) & ~ (v20 = e10) & ~ (v10 = e10) & ~ (v0 =
% 56.83/8.83 | e10)) | (v24 = e10 & v6 = e10 & ~ (v30 = e13) & ~ (v20 = e13)
% 56.83/8.83 | & ~ (v10 = e13) & ~ (v0 = e13)) | (v18 = e12 & v12 = e12 & ~
% 56.83/8.83 | (v30 = e11) & ~ (v20 = e11) & ~ (v10 = e11) & ~ (v0 = e11)) |
% 56.83/8.83 | (v18 = e11 & v12 = e11 & ~ (v30 = e12) & ~ (v20 = e12) & ~ (v10
% 56.83/8.83 | = e12) & ~ (v0 = e12)) | (v16 = e12 & v4 = e12 & ~ (v30 =
% 56.83/8.83 | e10) & ~ (v20 = e10) & ~ (v10 = e10) & ~ (v0 = e10)) | (v16
% 56.83/8.83 | = e10 & v4 = e10 & ~ (v30 = e12) & ~ (v20 = e12) & ~ (v10 =
% 56.83/8.83 | e12) & ~ (v0 = e12)) | (v8 = e11 & v2 = e11 & ~ (v30 = e10) &
% 56.83/8.83 | ~ (v20 = e10) & ~ (v10 = e10) & ~ (v0 = e10)) | (v8 = e10 & v2
% 56.83/8.83 | = e10 & ~ (v30 = e11) & ~ (v20 = e11) & ~ (v10 = e11) & ~ (v0
% 56.83/8.83 | = e11))))
% 56.83/8.83 |
% 56.83/8.83 | ALPHA: (ax11) implies:
% 56.83/8.84 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 56.83/8.84 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 56.83/8.84 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 56.83/8.84 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 56.83/8.84 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 56.83/8.84 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 56.83/8.84 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v30) =
% 56.83/8.84 | v31 & op2(e23, v22) = v23 & op2(e23, v14) = v15 & op2(e23, v6) = v7
% 56.83/8.84 | & op2(e23, e23) = v30 & op2(e23, e22) = v22 & op2(e23, e21) = v14 &
% 56.83/8.84 | op2(e23, e20) = v6 & op2(e22, v28) = v29 & op2(e22, v20) = v21 &
% 56.83/8.84 | op2(e22, v12) = v13 & op2(e22, v4) = v5 & op2(e22, e23) = v28 &
% 56.83/8.84 | op2(e22, e22) = v20 & op2(e22, e21) = v12 & op2(e22, e20) = v4 &
% 56.83/8.84 | op2(e21, v26) = v27 & op2(e21, v18) = v19 & op2(e21, v10) = v11 &
% 56.83/8.84 | op2(e21, v2) = v3 & op2(e21, e23) = v26 & op2(e21, e22) = v18 &
% 56.83/8.84 | op2(e21, e21) = v10 & op2(e21, e20) = v2 & op2(e20, v24) = v25 &
% 56.83/8.84 | op2(e20, v16) = v17 & op2(e20, v8) = v9 & op2(e20, v0) = v1 &
% 56.83/8.84 | op2(e20, e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 &
% 56.83/8.84 | op2(e20, e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 56.83/8.84 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 56.83/8.84 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 56.83/8.84 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 56.83/8.84 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31
% 56.83/8.84 | = e23 | v29 = e22 | v27 = e21 | v25 = e20) & (v23 = e23 | v21 =
% 56.83/8.84 | e22 | v19 = e21 | v17 = e20) & (v15 = e23 | v13 = e22 | v11 = e21
% 56.83/8.84 | | v9 = e20) & (v7 = e23 | v5 = e22 | v3 = e21 | v1 = e20) & ((v28
% 56.83/8.84 | = e23 & v22 = e23 & ~ (v30 = e22) & ~ (v20 = e22) & ~ (v10 =
% 56.83/8.84 | e22) & ~ (v0 = e22)) | (v28 = e22 & v22 = e22 & ~ (v30 =
% 56.83/8.84 | e23) & ~ (v20 = e23) & ~ (v10 = e23) & ~ (v0 = e23)) | (v26
% 56.83/8.84 | = e23 & v14 = e23 & ~ (v30 = e21) & ~ (v20 = e21) & ~ (v10 =
% 56.83/8.84 | e21) & ~ (v0 = e21)) | (v26 = e21 & v14 = e21 & ~ (v30 =
% 56.83/8.84 | e23) & ~ (v20 = e23) & ~ (v10 = e23) & ~ (v0 = e23)) | (v24
% 56.83/8.84 | = e23 & v6 = e23 & ~ (v30 = e20) & ~ (v20 = e20) & ~ (v10 =
% 56.83/8.84 | e20) & ~ (v0 = e20)) | (v24 = e20 & v6 = e20 & ~ (v30 = e23)
% 56.83/8.84 | & ~ (v20 = e23) & ~ (v10 = e23) & ~ (v0 = e23)) | (v18 = e22
% 56.83/8.84 | & v12 = e22 & ~ (v30 = e21) & ~ (v20 = e21) & ~ (v10 = e21) &
% 56.83/8.84 | ~ (v0 = e21)) | (v18 = e21 & v12 = e21 & ~ (v30 = e22) & ~
% 56.83/8.84 | (v20 = e22) & ~ (v10 = e22) & ~ (v0 = e22)) | (v16 = e22 & v4
% 56.83/8.84 | = e22 & ~ (v30 = e20) & ~ (v20 = e20) & ~ (v10 = e20) & ~
% 56.83/8.84 | (v0 = e20)) | (v16 = e20 & v4 = e20 & ~ (v30 = e22) & ~ (v20 =
% 56.83/8.84 | e22) & ~ (v10 = e22) & ~ (v0 = e22)) | (v8 = e21 & v2 = e21
% 56.83/8.84 | & ~ (v30 = e20) & ~ (v20 = e20) & ~ (v10 = e20) & ~ (v0 =
% 56.83/8.84 | e20)) | (v8 = e20 & v2 = e20 & ~ (v30 = e21) & ~ (v20 = e21)
% 56.83/8.84 | & ~ (v10 = e21) & ~ (v0 = e21))))
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (ax12) implies:
% 56.83/8.84 | (11) op1(e12, e13) = e10
% 56.83/8.84 | (12) op1(e13, e11) = e12
% 56.83/8.84 | (13) op1(e13, e13) = e11
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (ax13) implies:
% 56.83/8.84 | (14) op2(e22, e23) = e20
% 56.83/8.84 | (15) op2(e23, e21) = e22
% 56.83/8.84 | (16) op2(e23, e23) = e21
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (ax14) implies:
% 56.83/8.84 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = e20 & h1(e12) =
% 56.83/8.84 | v2 & h1(e11) = v1 & h1(e10) = v0 & op2(v2, e20) = v0 & op2(e20, v1)
% 56.83/8.84 | = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (ax15) implies:
% 56.83/8.84 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = e21 & h2(e12) =
% 56.83/8.84 | v2 & h2(e11) = v1 & h2(e10) = v0 & op2(v2, e21) = v0 & op2(e21, v1)
% 56.83/8.84 | = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (ax16) implies:
% 56.83/8.84 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = e22 & h3(e12) =
% 56.83/8.84 | v2 & h3(e11) = v1 & h3(e10) = v0 & op2(v2, e22) = v0 & op2(e22, v1)
% 56.83/8.84 | = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (ax17) implies:
% 56.83/8.84 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = e23 & h4(e12) =
% 56.83/8.84 | v2 & h4(e11) = v1 & h4(e10) = v0 & op2(v2, e23) = v0 & op2(e23, v1)
% 56.83/8.84 | = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 56.83/8.84 |
% 56.83/8.84 | ALPHA: (co1) implies:
% 57.13/8.86 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 57.13/8.86 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 57.13/8.86 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 57.13/8.86 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 57.13/8.86 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 57.13/8.86 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 57.13/8.86 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 57.13/8.86 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 57.13/8.86 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 57.13/8.86 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 57.13/8.86 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 57.13/8.86 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 57.13/8.86 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 57.13/8.86 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 57.13/8.86 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 57.13/8.86 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 57.13/8.86 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 57.13/8.86 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 57.13/8.86 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 57.13/8.86 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 57.13/8.86 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 57.13/8.86 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 57.13/8.86 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 57.13/8.86 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 57.13/8.86 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 57.13/8.86 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 57.13/8.86 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 57.13/8.86 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 57.13/8.86 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 57.13/8.86 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 57.13/8.86 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 57.13/8.86 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 57.13/8.86 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 57.13/8.86 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 57.13/8.86 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 57.13/8.86 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 57.13/8.86 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 57.13/8.86 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 57.13/8.86 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 57.13/8.86 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 57.13/8.86 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 57.13/8.86 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 57.13/8.86 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 57.13/8.86 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 57.13/8.86 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 57.13/8.86 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 57.13/8.86 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 57.13/8.86 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 57.13/8.86 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 57.13/8.86 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 57.13/8.86 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 57.13/8.86 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 57.13/8.86 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 57.13/8.86 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 57.13/8.86 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 57.13/8.86 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 57.13/8.86 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 57.13/8.86 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 57.13/8.86 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 57.13/8.86 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 57.13/8.86 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 57.13/8.86 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 57.13/8.86 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 57.13/8.86 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 57.13/8.86 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 57.13/8.86 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 57.13/8.86 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 57.13/8.86 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 57.13/8.86 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 57.13/8.86 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 57.13/8.86 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 57.13/8.86 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 57.13/8.86 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 57.13/8.86 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 57.13/8.86 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 57.13/8.86 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 57.13/8.86 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 57.13/8.86 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 57.13/8.86 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 57.13/8.86 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 57.13/8.86 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 57.13/8.86 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 57.13/8.86 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 57.13/8.86 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 57.13/8.86 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 57.13/8.86 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 57.13/8.86 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 57.13/8.86 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 57.13/8.86 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 57.13/8.86 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 57.13/8.86 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 57.13/8.86 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 57.13/8.86 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 57.13/8.86 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 57.13/8.86 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 57.13/8.86 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 57.13/8.86 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 57.13/8.86 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 57.13/8.86 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 57.13/8.86 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 57.13/8.86 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 57.13/8.86 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 57.13/8.86 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 57.13/8.86 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 57.13/8.86 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 57.13/8.86 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 57.13/8.86 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 57.13/8.86 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 57.13/8.86 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 57.13/8.86 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 57.13/8.86 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 57.13/8.86 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 57.13/8.86 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 57.13/8.86 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 57.13/8.86 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 57.13/8.86 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 57.13/8.86 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 57.13/8.86 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 57.13/8.86 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 57.13/8.86 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 57.13/8.86 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 57.13/8.86 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 57.13/8.86 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 57.13/8.86 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 57.13/8.86 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 57.13/8.86 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 57.13/8.86 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 57.13/8.86 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 57.13/8.86 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 57.13/8.86 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 57.13/8.86 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 57.13/8.86 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 57.13/8.86 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 57.13/8.86 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 57.13/8.86 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 57.13/8.86 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 57.13/8.86 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 57.13/8.86 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 57.13/8.86 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 57.13/8.86 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 57.13/8.86 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 57.13/8.86 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 57.13/8.86 | (v2 = e20))))
% 57.13/8.86 |
% 57.13/8.86 | ALPHA: (function-axioms) implies:
% 57.13/8.86 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 57.13/8.86 | | ~ (h1(v2) = v0))
% 57.13/8.86 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 57.13/8.86 | | ~ (h2(v2) = v0))
% 57.13/8.86 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 57.13/8.86 | | ~ (h3(v2) = v0))
% 57.13/8.86 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 57.13/8.86 | | ~ (h4(v2) = v0))
% 57.13/8.86 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 57.13/8.86 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 57.13/8.86 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 57.13/8.86 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 57.13/8.86 |
% 57.19/8.86 | DELTA: instantiating (18) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 57.19/8.87 | (28) h2(e13) = e21 & h2(e12) = all_4_0 & h2(e11) = all_4_1 & h2(e10) =
% 57.19/8.87 | all_4_2 & op2(all_4_0, e21) = all_4_2 & op2(e21, all_4_1) = all_4_0 &
% 57.19/8.87 | op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 57.19/8.87 |
% 57.19/8.87 | ALPHA: (28) implies:
% 57.19/8.87 | (29) op2(e21, e21) = all_4_1
% 57.19/8.87 | (30) op2(e21, all_4_1) = all_4_0
% 57.19/8.87 | (31) h2(e11) = all_4_1
% 57.19/8.87 | (32) h2(e13) = e21
% 57.19/8.87 |
% 57.19/8.87 | DELTA: instantiating (19) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 57.19/8.87 | (33) h3(e13) = e22 & h3(e12) = all_6_0 & h3(e11) = all_6_1 & h3(e10) =
% 57.19/8.87 | all_6_2 & op2(all_6_0, e22) = all_6_2 & op2(e22, all_6_1) = all_6_0 &
% 57.19/8.87 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 57.19/8.87 |
% 57.19/8.87 | ALPHA: (33) implies:
% 57.19/8.87 | (34) op2(e22, e22) = all_6_1
% 57.19/8.87 | (35) op2(e22, all_6_1) = all_6_0
% 57.19/8.87 | (36) op2(all_6_0, e22) = all_6_2
% 57.19/8.87 | (37) h3(e10) = all_6_2
% 57.19/8.87 | (38) h3(e11) = all_6_1
% 57.19/8.87 | (39) h3(e12) = all_6_0
% 57.19/8.87 | (40) h3(e13) = e22
% 57.19/8.87 |
% 57.19/8.87 | DELTA: instantiating (20) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 57.19/8.87 | (41) h4(e13) = e23 & h4(e12) = all_8_0 & h4(e11) = all_8_1 & h4(e10) =
% 57.19/8.87 | all_8_2 & op2(all_8_0, e23) = all_8_2 & op2(e23, all_8_1) = all_8_0 &
% 57.19/8.87 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 57.19/8.87 |
% 57.19/8.87 | ALPHA: (41) implies:
% 57.19/8.87 | (42) op2(e23, e23) = all_8_1
% 57.19/8.87 | (43) op2(e23, all_8_1) = all_8_0
% 57.19/8.87 | (44) op2(all_8_0, e23) = all_8_2
% 57.19/8.87 | (45) h4(e10) = all_8_2
% 57.19/8.87 | (46) h4(e11) = all_8_1
% 57.19/8.87 | (47) h4(e12) = all_8_0
% 57.19/8.87 | (48) h4(e13) = e23
% 57.19/8.87 |
% 57.19/8.87 | DELTA: instantiating (17) with fresh symbols all_10_0, all_10_1, all_10_2
% 57.19/8.87 | gives:
% 57.19/8.87 | (49) h1(e13) = e20 & h1(e12) = all_10_0 & h1(e11) = all_10_1 & h1(e10) =
% 57.19/8.87 | all_10_2 & op2(all_10_0, e20) = all_10_2 & op2(e20, all_10_1) =
% 57.19/8.87 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 57.19/8.87 | $i(all_10_2)
% 57.19/8.87 |
% 57.19/8.87 | ALPHA: (49) implies:
% 57.19/8.87 | (50) op2(e20, e20) = all_10_1
% 57.19/8.87 | (51) h1(e11) = all_10_1
% 57.19/8.87 | (52) h1(e13) = e20
% 57.19/8.87 |
% 57.19/8.87 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 57.19/8.87 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 57.19/8.87 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 57.19/8.87 | (53) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 57.19/8.87 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 57.19/8.87 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 57.19/8.87 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 57.19/8.87 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 57.19/8.87 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 57.19/8.87 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 57.19/8.87 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 57.19/8.87 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 57.19/8.87 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 57.19/8.87 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 57.19/8.87 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 57.19/8.87 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 57.19/8.87 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 57.19/8.87 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 57.19/8.87 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 57.19/8.87 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 57.19/8.87 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 57.19/8.87 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 57.19/8.87 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 57.19/8.87 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 57.19/8.87 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 57.19/8.87 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 57.19/8.87 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 57.19/8.87 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 57.19/8.87 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 57.19/8.87 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 57.19/8.87 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 57.19/8.87 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 57.19/8.87 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 57.19/8.87 |
% 57.19/8.87 | ALPHA: (53) implies:
% 57.19/8.87 | (54) ~ (all_12_14 = all_12_15)
% 57.19/8.87 | (55) ~ (all_12_13 = all_12_15)
% 57.19/8.87 | (56) ~ (all_12_13 = all_12_14)
% 57.19/8.87 | (57) ~ (all_12_12 = all_12_15)
% 57.19/8.87 | (58) ~ (all_12_12 = all_12_14)
% 57.19/8.87 | (59) ~ (all_12_12 = all_12_13)
% 57.19/8.87 | (60) ~ (all_12_11 = all_12_15)
% 57.19/8.87 | (61) ~ (all_12_10 = all_12_14)
% 57.19/8.87 | (62) ~ (all_12_10 = all_12_11)
% 57.19/8.87 | (63) ~ (all_12_9 = all_12_13)
% 57.19/8.87 | (64) ~ (all_12_9 = all_12_11)
% 57.19/8.87 | (65) ~ (all_12_9 = all_12_10)
% 57.19/8.87 | (66) ~ (all_12_8 = all_12_12)
% 57.19/8.87 | (67) ~ (all_12_8 = all_12_11)
% 57.19/8.88 | (68) ~ (all_12_8 = all_12_10)
% 57.19/8.88 | (69) ~ (all_12_8 = all_12_9)
% 57.19/8.88 | (70) ~ (all_12_7 = all_12_15)
% 57.19/8.88 | (71) ~ (all_12_7 = all_12_11)
% 57.19/8.88 | (72) ~ (all_12_6 = all_12_14)
% 57.19/8.88 | (73) ~ (all_12_6 = all_12_10)
% 57.19/8.88 | (74) ~ (all_12_6 = all_12_7)
% 57.19/8.88 | (75) ~ (all_12_5 = all_12_13)
% 57.19/8.88 | (76) ~ (all_12_5 = all_12_9)
% 57.19/8.88 | (77) ~ (all_12_5 = all_12_7)
% 57.19/8.88 | (78) ~ (all_12_5 = all_12_6)
% 57.19/8.88 | (79) ~ (all_12_4 = all_12_12)
% 57.19/8.88 | (80) ~ (all_12_4 = all_12_8)
% 57.19/8.88 | (81) ~ (all_12_4 = all_12_7)
% 57.19/8.88 | (82) ~ (all_12_4 = all_12_6)
% 57.19/8.88 | (83) ~ (all_12_4 = all_12_5)
% 57.19/8.88 | (84) ~ (all_12_3 = all_12_15)
% 57.19/8.88 | (85) ~ (all_12_3 = all_12_11)
% 57.19/8.88 | (86) ~ (all_12_3 = all_12_7)
% 57.19/8.88 | (87) ~ (all_12_2 = all_12_14)
% 57.19/8.88 | (88) ~ (all_12_2 = all_12_10)
% 57.19/8.88 | (89) ~ (all_12_2 = all_12_6)
% 57.19/8.88 | (90) ~ (all_12_2 = all_12_3)
% 57.19/8.88 | (91) ~ (all_12_1 = all_12_13)
% 57.19/8.88 | (92) ~ (all_12_1 = all_12_9)
% 57.19/8.88 | (93) ~ (all_12_1 = all_12_5)
% 57.19/8.88 | (94) ~ (all_12_1 = all_12_3)
% 57.19/8.88 | (95) ~ (all_12_1 = all_12_2)
% 57.19/8.88 | (96) ~ (all_12_0 = all_12_12)
% 57.19/8.88 | (97) ~ (all_12_0 = all_12_4)
% 57.19/8.88 | (98) ~ (all_12_0 = all_12_3)
% 57.19/8.88 | (99) ~ (all_12_0 = all_12_2)
% 57.19/8.88 | (100) op1(e10, e10) = all_12_15
% 57.19/8.88 | (101) op1(e10, e11) = all_12_11
% 57.19/8.88 | (102) op1(e10, e12) = all_12_7
% 57.19/8.88 | (103) op1(e10, e13) = all_12_3
% 57.19/8.88 | (104) op1(e11, e10) = all_12_14
% 57.19/8.88 | (105) op1(e11, e11) = all_12_10
% 57.19/8.88 | (106) op1(e11, e12) = all_12_6
% 57.19/8.88 | (107) op1(e11, e13) = all_12_2
% 57.19/8.88 | (108) op1(e12, e10) = all_12_13
% 57.19/8.88 | (109) op1(e12, e11) = all_12_9
% 57.19/8.88 | (110) op1(e12, e12) = all_12_5
% 57.19/8.88 | (111) op1(e12, e13) = all_12_1
% 57.19/8.88 | (112) op1(e13, e10) = all_12_12
% 57.19/8.88 | (113) op1(e13, e11) = all_12_8
% 57.19/8.88 | (114) op1(e13, e12) = all_12_4
% 57.19/8.88 | (115) op1(e13, e13) = all_12_0
% 57.19/8.88 |
% 57.19/8.88 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 57.19/8.88 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 57.19/8.88 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 57.19/8.88 | (116) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 57.19/8.88 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 57.19/8.88 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 57.19/8.88 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 57.19/8.88 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 57.19/8.88 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 57.19/8.88 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 57.19/8.88 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 57.19/8.88 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 57.19/8.88 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 57.19/8.88 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 57.19/8.88 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 57.19/8.88 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 57.19/8.88 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 57.19/8.88 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 57.19/8.88 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 57.19/8.88 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 57.19/8.88 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 57.19/8.88 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 57.19/8.88 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 57.19/8.88 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 57.19/8.88 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 57.19/8.88 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 57.19/8.88 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 57.19/8.88 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 57.19/8.88 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 57.19/8.88 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 57.19/8.88 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 57.19/8.88 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 57.19/8.88 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 57.19/8.88 | $i(all_14_14) & $i(all_14_15)
% 57.19/8.88 |
% 57.19/8.88 | ALPHA: (116) implies:
% 57.19/8.88 | (117) ~ (all_14_14 = all_14_15)
% 57.19/8.88 | (118) ~ (all_14_13 = all_14_15)
% 57.19/8.88 | (119) ~ (all_14_13 = all_14_14)
% 57.19/8.88 | (120) ~ (all_14_12 = all_14_15)
% 57.19/8.88 | (121) ~ (all_14_12 = all_14_14)
% 57.19/8.88 | (122) ~ (all_14_12 = all_14_13)
% 57.19/8.88 | (123) ~ (all_14_11 = all_14_15)
% 57.19/8.88 | (124) ~ (all_14_10 = all_14_14)
% 57.19/8.88 | (125) ~ (all_14_10 = all_14_11)
% 57.19/8.88 | (126) ~ (all_14_9 = all_14_13)
% 57.19/8.88 | (127) ~ (all_14_9 = all_14_11)
% 57.19/8.88 | (128) ~ (all_14_9 = all_14_10)
% 57.19/8.88 | (129) ~ (all_14_8 = all_14_12)
% 57.19/8.88 | (130) ~ (all_14_8 = all_14_11)
% 57.19/8.88 | (131) ~ (all_14_8 = all_14_10)
% 57.19/8.88 | (132) ~ (all_14_8 = all_14_9)
% 57.19/8.88 | (133) ~ (all_14_7 = all_14_15)
% 57.19/8.88 | (134) ~ (all_14_7 = all_14_11)
% 57.19/8.88 | (135) ~ (all_14_6 = all_14_14)
% 57.19/8.88 | (136) ~ (all_14_6 = all_14_10)
% 57.19/8.88 | (137) ~ (all_14_6 = all_14_7)
% 57.19/8.88 | (138) ~ (all_14_5 = all_14_13)
% 57.19/8.88 | (139) ~ (all_14_5 = all_14_9)
% 57.19/8.88 | (140) ~ (all_14_5 = all_14_7)
% 57.19/8.88 | (141) ~ (all_14_5 = all_14_6)
% 57.19/8.88 | (142) ~ (all_14_4 = all_14_12)
% 57.19/8.88 | (143) ~ (all_14_4 = all_14_8)
% 57.19/8.88 | (144) ~ (all_14_4 = all_14_7)
% 57.19/8.88 | (145) ~ (all_14_4 = all_14_6)
% 57.19/8.88 | (146) ~ (all_14_4 = all_14_5)
% 57.19/8.89 | (147) ~ (all_14_3 = all_14_15)
% 57.19/8.89 | (148) ~ (all_14_3 = all_14_11)
% 57.19/8.89 | (149) ~ (all_14_3 = all_14_7)
% 57.19/8.89 | (150) ~ (all_14_2 = all_14_14)
% 57.19/8.89 | (151) ~ (all_14_2 = all_14_10)
% 57.19/8.89 | (152) ~ (all_14_2 = all_14_6)
% 57.19/8.89 | (153) ~ (all_14_2 = all_14_3)
% 57.19/8.89 | (154) ~ (all_14_1 = all_14_13)
% 57.19/8.89 | (155) ~ (all_14_1 = all_14_9)
% 57.19/8.89 | (156) ~ (all_14_1 = all_14_5)
% 57.19/8.89 | (157) ~ (all_14_1 = all_14_3)
% 57.19/8.89 | (158) ~ (all_14_1 = all_14_2)
% 57.19/8.89 | (159) ~ (all_14_0 = all_14_12)
% 57.19/8.89 | (160) ~ (all_14_0 = all_14_8)
% 57.19/8.89 | (161) ~ (all_14_0 = all_14_4)
% 57.19/8.89 | (162) ~ (all_14_0 = all_14_3)
% 57.19/8.89 | (163) ~ (all_14_0 = all_14_2)
% 57.19/8.89 | (164) op2(e20, e20) = all_14_15
% 57.19/8.89 | (165) op2(e20, e21) = all_14_11
% 57.19/8.89 | (166) op2(e20, e22) = all_14_7
% 57.19/8.89 | (167) op2(e20, e23) = all_14_3
% 57.19/8.89 | (168) op2(e21, e20) = all_14_14
% 57.19/8.89 | (169) op2(e21, e21) = all_14_10
% 57.19/8.89 | (170) op2(e21, e22) = all_14_6
% 57.19/8.89 | (171) op2(e21, e23) = all_14_2
% 57.19/8.89 | (172) op2(e22, e20) = all_14_13
% 57.19/8.89 | (173) op2(e22, e21) = all_14_9
% 57.19/8.89 | (174) op2(e22, e22) = all_14_5
% 57.19/8.89 | (175) op2(e22, e23) = all_14_1
% 57.19/8.89 | (176) op2(e23, e20) = all_14_12
% 57.19/8.89 | (177) op2(e23, e21) = all_14_8
% 57.19/8.89 | (178) op2(e23, e22) = all_14_4
% 57.19/8.89 | (179) op2(e23, e23) = all_14_0
% 57.19/8.89 |
% 57.19/8.89 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2,
% 57.19/8.89 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 57.19/8.89 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 57.19/8.89 | (180) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) =
% 57.19/8.89 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 &
% 57.19/8.89 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) =
% 57.19/8.89 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 &
% 57.19/8.89 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13)
% 57.19/8.89 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 &
% 57.19/8.89 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) &
% 57.19/8.89 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) &
% 57.19/8.89 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) &
% 57.19/8.89 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) &
% 57.19/8.89 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 |
% 57.19/8.89 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12
% 57.19/8.89 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 =
% 57.19/8.89 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3
% 57.19/8.89 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 |
% 57.19/8.89 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13
% 57.19/8.89 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 =
% 57.19/8.89 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7
% 57.19/8.89 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) &
% 57.19/8.89 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) &
% 57.19/8.89 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) &
% 57.19/8.89 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 57.19/8.89 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 |
% 57.19/8.89 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 =
% 57.19/8.89 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 |
% 57.19/8.89 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 =
% 57.19/8.89 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 |
% 57.19/8.89 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10)
% 57.19/8.89 |
% 57.19/8.89 | ALPHA: (180) implies:
% 57.19/8.89 | (181) op1(e10, e10) = all_16_15
% 57.19/8.89 | (182) op1(e10, e11) = all_16_14
% 57.19/8.89 | (183) op1(e10, e12) = all_16_13
% 57.19/8.89 | (184) op1(e10, e13) = all_16_12
% 57.19/8.89 | (185) op1(e11, e10) = all_16_11
% 57.19/8.89 | (186) op1(e11, e11) = all_16_10
% 57.19/8.89 | (187) op1(e11, e12) = all_16_9
% 57.19/8.89 | (188) op1(e11, e13) = all_16_8
% 57.19/8.89 | (189) op1(e12, e10) = all_16_7
% 57.19/8.89 | (190) op1(e12, e11) = all_16_6
% 57.19/8.89 | (191) op1(e12, e12) = all_16_5
% 57.19/8.89 | (192) op1(e12, e13) = all_16_4
% 57.19/8.89 | (193) op1(e13, e10) = all_16_3
% 57.19/8.89 | (194) op1(e13, e11) = all_16_2
% 57.19/8.89 | (195) op1(e13, e12) = all_16_1
% 57.19/8.89 | (196) op1(e13, e13) = all_16_0
% 57.19/8.89 | (197) all_16_15 = e13 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10
% 57.19/8.89 | (198) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 57.19/8.89 | (199) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 57.19/8.89 | (200) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 57.19/8.89 | (201) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10
% 57.19/8.89 | (202) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 57.19/8.89 | (203) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 57.19/8.89 | (204) all_16_7 = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 57.19/8.89 | (205) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 57.19/8.89 | (206) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 57.19/8.89 | (207) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 57.19/8.89 | (208) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 57.19/8.89 |
% 57.19/8.89 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 57.19/8.89 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 57.19/8.89 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 57.19/8.90 | (209) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) =
% 57.19/8.90 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 &
% 57.19/8.90 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) =
% 57.19/8.90 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 &
% 57.19/8.90 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23)
% 57.19/8.90 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 &
% 57.19/8.90 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 57.19/8.90 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 57.19/8.90 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 57.19/8.90 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 57.19/8.90 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 |
% 57.19/8.90 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22
% 57.19/8.90 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 =
% 57.19/8.90 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3
% 57.19/8.90 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 |
% 57.19/8.90 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23
% 57.19/8.90 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 =
% 57.19/8.90 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7
% 57.19/8.90 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) &
% 57.19/8.90 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) &
% 57.19/8.90 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) &
% 57.19/8.90 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 57.19/8.90 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 |
% 57.19/8.90 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 =
% 57.19/8.90 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 |
% 57.19/8.90 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 =
% 57.19/8.90 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 |
% 57.19/8.90 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20)
% 57.19/8.90 |
% 57.19/8.90 | ALPHA: (209) implies:
% 57.19/8.90 | (210) op2(e20, e20) = all_18_15
% 57.19/8.90 | (211) op2(e20, e21) = all_18_14
% 57.19/8.90 | (212) op2(e20, e22) = all_18_13
% 57.19/8.90 | (213) op2(e20, e23) = all_18_12
% 57.19/8.90 | (214) op2(e21, e20) = all_18_11
% 57.19/8.90 | (215) op2(e21, e21) = all_18_10
% 57.19/8.90 | (216) op2(e21, e22) = all_18_9
% 57.19/8.90 | (217) op2(e21, e23) = all_18_8
% 57.19/8.90 | (218) op2(e22, e20) = all_18_7
% 57.19/8.90 | (219) op2(e22, e21) = all_18_6
% 57.19/8.90 | (220) op2(e22, e22) = all_18_5
% 57.19/8.90 | (221) op2(e22, e23) = all_18_4
% 57.19/8.90 | (222) op2(e23, e20) = all_18_3
% 57.19/8.90 | (223) op2(e23, e21) = all_18_2
% 57.19/8.90 | (224) op2(e23, e22) = all_18_1
% 57.19/8.90 | (225) op2(e23, e23) = all_18_0
% 57.19/8.90 | (226) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 57.19/8.90 | (227) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 57.19/8.90 | (228) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 57.19/8.90 | (229) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 57.19/8.90 | (230) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 57.19/8.90 | (231) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 57.19/8.90 | (232) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 57.19/8.90 | (233) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 57.19/8.90 | (234) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 57.19/8.90 | (235) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 57.19/8.90 | (236) all_18_5 = e23 | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 57.19/8.90 | (237) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 57.19/8.90 | (238) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 57.19/8.90 |
% 57.19/8.90 | DELTA: instantiating (9) with fresh symbols all_20_0, all_20_1, all_20_2,
% 57.19/8.90 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 57.19/8.90 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15,
% 57.19/8.90 | all_20_16, all_20_17, all_20_18, all_20_19, all_20_20, all_20_21,
% 57.19/8.90 | all_20_22, all_20_23, all_20_24, all_20_25, all_20_26, all_20_27,
% 57.19/8.90 | all_20_28, all_20_29, all_20_30, all_20_31 gives:
% 57.19/8.91 | (239) op1(e13, all_20_1) = all_20_0 & op1(e13, all_20_9) = all_20_8 &
% 57.19/8.91 | op1(e13, all_20_17) = all_20_16 & op1(e13, all_20_25) = all_20_24 &
% 57.19/8.91 | op1(e13, e13) = all_20_1 & op1(e13, e12) = all_20_9 & op1(e13, e11) =
% 57.19/8.91 | all_20_17 & op1(e13, e10) = all_20_25 & op1(e12, all_20_3) = all_20_2
% 57.19/8.91 | & op1(e12, all_20_11) = all_20_10 & op1(e12, all_20_19) = all_20_18 &
% 57.19/8.91 | op1(e12, all_20_27) = all_20_26 & op1(e12, e13) = all_20_3 & op1(e12,
% 57.19/8.91 | e12) = all_20_11 & op1(e12, e11) = all_20_19 & op1(e12, e10) =
% 57.19/8.91 | all_20_27 & op1(e11, all_20_5) = all_20_4 & op1(e11, all_20_13) =
% 57.19/8.91 | all_20_12 & op1(e11, all_20_21) = all_20_20 & op1(e11, all_20_29) =
% 57.19/8.91 | all_20_28 & op1(e11, e13) = all_20_5 & op1(e11, e12) = all_20_13 &
% 57.19/8.91 | op1(e11, e11) = all_20_21 & op1(e11, e10) = all_20_29 & op1(e10,
% 57.19/8.91 | all_20_7) = all_20_6 & op1(e10, all_20_15) = all_20_14 & op1(e10,
% 57.19/8.91 | all_20_23) = all_20_22 & op1(e10, all_20_31) = all_20_30 & op1(e10,
% 57.19/8.91 | e13) = all_20_7 & op1(e10, e12) = all_20_15 & op1(e10, e11) =
% 57.19/8.91 | all_20_23 & op1(e10, e10) = all_20_31 & $i(all_20_0) & $i(all_20_1) &
% 57.19/8.91 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 57.19/8.91 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 57.19/8.91 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 57.19/8.91 | $i(all_20_14) & $i(all_20_15) & $i(all_20_16) & $i(all_20_17) &
% 57.19/8.91 | $i(all_20_18) & $i(all_20_19) & $i(all_20_20) & $i(all_20_21) &
% 57.19/8.91 | $i(all_20_22) & $i(all_20_23) & $i(all_20_24) & $i(all_20_25) &
% 57.19/8.91 | $i(all_20_26) & $i(all_20_27) & $i(all_20_28) & $i(all_20_29) &
% 57.19/8.91 | $i(all_20_30) & $i(all_20_31) & (all_20_0 = e13 | all_20_2 = e12 |
% 57.19/8.91 | all_20_4 = e11 | all_20_6 = e10) & (all_20_8 = e13 | all_20_10 =
% 57.19/8.91 | e12 | all_20_12 = e11 | all_20_14 = e10) & (all_20_16 = e13 |
% 57.19/8.91 | all_20_18 = e12 | all_20_20 = e11 | all_20_22 = e10) & (all_20_24 =
% 57.19/8.91 | e13 | all_20_26 = e12 | all_20_28 = e11 | all_20_30 = e10) &
% 57.19/8.91 | ((all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~
% 57.19/8.91 | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12))
% 57.19/8.91 | | (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 57.19/8.91 | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 57.19/8.91 | | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 57.19/8.91 | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 57.19/8.91 | | (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 57.19/8.91 | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 57.19/8.91 | | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 57.19/8.91 | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 57.19/8.91 | | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 57.19/8.91 | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 57.19/8.91 | | (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~
% 57.19/8.91 | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 57.19/8.91 | | (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 57.19/8.91 | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12))
% 57.19/8.91 | | (all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 57.19/8.91 | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 57.19/8.91 | | (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 57.19/8.91 | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12))
% 57.19/8.91 | | (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 57.19/8.91 | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 57.19/8.91 | | (all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 57.19/8.91 | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)))
% 57.19/8.91 |
% 57.19/8.91 | ALPHA: (239) implies:
% 57.19/8.91 | (240) op1(e10, e10) = all_20_31
% 57.19/8.91 | (241) op1(e10, e11) = all_20_23
% 57.19/8.91 | (242) op1(e10, e12) = all_20_15
% 57.19/8.91 | (243) op1(e10, e13) = all_20_7
% 57.19/8.91 | (244) op1(e10, all_20_23) = all_20_22
% 57.19/8.91 | (245) op1(e10, all_20_15) = all_20_14
% 57.19/8.91 | (246) op1(e10, all_20_7) = all_20_6
% 57.19/8.91 | (247) op1(e11, e10) = all_20_29
% 57.19/8.91 | (248) op1(e11, e11) = all_20_21
% 57.19/8.91 | (249) op1(e11, e12) = all_20_13
% 57.19/8.91 | (250) op1(e11, e13) = all_20_5
% 57.19/8.91 | (251) op1(e11, all_20_21) = all_20_20
% 57.19/8.91 | (252) op1(e11, all_20_13) = all_20_12
% 57.19/8.91 | (253) op1(e11, all_20_5) = all_20_4
% 57.19/8.91 | (254) op1(e12, e10) = all_20_27
% 57.19/8.91 | (255) op1(e12, e11) = all_20_19
% 57.19/8.91 | (256) op1(e12, e12) = all_20_11
% 57.19/8.91 | (257) op1(e12, e13) = all_20_3
% 57.19/8.91 | (258) op1(e12, all_20_19) = all_20_18
% 57.19/8.91 | (259) op1(e12, all_20_11) = all_20_10
% 57.19/8.91 | (260) op1(e12, all_20_3) = all_20_2
% 57.19/8.91 | (261) op1(e13, e10) = all_20_25
% 57.19/8.91 | (262) op1(e13, e11) = all_20_17
% 57.19/8.91 | (263) op1(e13, e12) = all_20_9
% 57.19/8.91 | (264) op1(e13, e13) = all_20_1
% 57.19/8.91 | (265) op1(e13, all_20_17) = all_20_16
% 57.19/8.91 | (266) op1(e13, all_20_9) = all_20_8
% 57.19/8.91 | (267) op1(e13, all_20_1) = all_20_0
% 57.19/8.91 | (268) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~
% 57.19/8.91 | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) |
% 57.19/8.91 | (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 57.19/8.91 | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 57.19/8.91 | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 57.19/8.91 | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)) |
% 57.19/8.91 | (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 57.19/8.91 | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 57.19/8.91 | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 57.19/8.91 | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 57.19/8.91 | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 57.19/8.91 | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 57.19/8.91 | (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~
% 57.19/8.91 | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)) |
% 57.19/8.91 | (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 57.19/8.91 | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) |
% 57.19/8.91 | (all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 57.19/8.91 | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 57.19/8.91 | (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 57.19/8.91 | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) |
% 57.19/8.91 | (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 57.19/8.91 | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 57.19/8.91 | (all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 57.19/8.91 | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 57.19/8.91 | (269) all_20_16 = e13 | all_20_18 = e12 | all_20_20 = e11 | all_20_22 = e10
% 57.19/8.91 | (270) all_20_8 = e13 | all_20_10 = e12 | all_20_12 = e11 | all_20_14 = e10
% 57.19/8.91 | (271) all_20_0 = e13 | all_20_2 = e12 | all_20_4 = e11 | all_20_6 = e10
% 57.19/8.91 |
% 57.19/8.91 | DELTA: instantiating (10) with fresh symbols all_22_0, all_22_1, all_22_2,
% 57.19/8.91 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 57.19/8.91 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15,
% 57.19/8.91 | all_22_16, all_22_17, all_22_18, all_22_19, all_22_20, all_22_21,
% 57.19/8.91 | all_22_22, all_22_23, all_22_24, all_22_25, all_22_26, all_22_27,
% 57.19/8.91 | all_22_28, all_22_29, all_22_30, all_22_31 gives:
% 57.41/8.92 | (272) op2(e23, all_22_1) = all_22_0 & op2(e23, all_22_9) = all_22_8 &
% 57.41/8.92 | op2(e23, all_22_17) = all_22_16 & op2(e23, all_22_25) = all_22_24 &
% 57.41/8.92 | op2(e23, e23) = all_22_1 & op2(e23, e22) = all_22_9 & op2(e23, e21) =
% 57.41/8.92 | all_22_17 & op2(e23, e20) = all_22_25 & op2(e22, all_22_3) = all_22_2
% 57.41/8.92 | & op2(e22, all_22_11) = all_22_10 & op2(e22, all_22_19) = all_22_18 &
% 57.41/8.92 | op2(e22, all_22_27) = all_22_26 & op2(e22, e23) = all_22_3 & op2(e22,
% 57.41/8.92 | e22) = all_22_11 & op2(e22, e21) = all_22_19 & op2(e22, e20) =
% 57.41/8.92 | all_22_27 & op2(e21, all_22_5) = all_22_4 & op2(e21, all_22_13) =
% 57.41/8.92 | all_22_12 & op2(e21, all_22_21) = all_22_20 & op2(e21, all_22_29) =
% 57.41/8.92 | all_22_28 & op2(e21, e23) = all_22_5 & op2(e21, e22) = all_22_13 &
% 57.41/8.92 | op2(e21, e21) = all_22_21 & op2(e21, e20) = all_22_29 & op2(e20,
% 57.41/8.92 | all_22_7) = all_22_6 & op2(e20, all_22_15) = all_22_14 & op2(e20,
% 57.41/8.92 | all_22_23) = all_22_22 & op2(e20, all_22_31) = all_22_30 & op2(e20,
% 57.41/8.92 | e23) = all_22_7 & op2(e20, e22) = all_22_15 & op2(e20, e21) =
% 57.41/8.92 | all_22_23 & op2(e20, e20) = all_22_31 & $i(all_22_0) & $i(all_22_1) &
% 57.41/8.92 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 57.41/8.92 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 57.41/8.92 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 57.41/8.92 | $i(all_22_14) & $i(all_22_15) & $i(all_22_16) & $i(all_22_17) &
% 57.41/8.92 | $i(all_22_18) & $i(all_22_19) & $i(all_22_20) & $i(all_22_21) &
% 57.41/8.92 | $i(all_22_22) & $i(all_22_23) & $i(all_22_24) & $i(all_22_25) &
% 57.41/8.92 | $i(all_22_26) & $i(all_22_27) & $i(all_22_28) & $i(all_22_29) &
% 57.41/8.92 | $i(all_22_30) & $i(all_22_31) & (all_22_0 = e23 | all_22_2 = e22 |
% 57.41/8.92 | all_22_4 = e21 | all_22_6 = e20) & (all_22_8 = e23 | all_22_10 =
% 57.41/8.92 | e22 | all_22_12 = e21 | all_22_14 = e20) & (all_22_16 = e23 |
% 57.41/8.92 | all_22_18 = e22 | all_22_20 = e21 | all_22_22 = e20) & (all_22_24 =
% 57.41/8.92 | e23 | all_22_26 = e22 | all_22_28 = e21 | all_22_30 = e20) &
% 57.41/8.92 | ((all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 = e22) & ~
% 57.41/8.92 | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22))
% 57.41/8.92 | | (all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 57.41/8.92 | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23))
% 57.41/8.92 | | (all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 57.41/8.92 | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21))
% 57.41/8.92 | | (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 = e23) & ~
% 57.41/8.92 | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23))
% 57.41/8.92 | | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 57.41/8.92 | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20))
% 57.41/8.92 | | (all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 57.41/8.92 | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23))
% 57.41/8.92 | | (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 = e21) & ~
% 57.41/8.92 | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21))
% 57.41/8.92 | | (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 57.41/8.92 | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22))
% 57.41/8.92 | | (all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 57.41/8.92 | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20))
% 57.41/8.92 | | (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 57.41/8.92 | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22))
% 57.41/8.92 | | (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 57.41/8.92 | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20))
% 57.41/8.92 | | (all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 57.41/8.92 | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21)))
% 57.41/8.92 |
% 57.41/8.92 | ALPHA: (272) implies:
% 57.41/8.92 | (273) op2(e20, e20) = all_22_31
% 57.41/8.92 | (274) op2(e20, e21) = all_22_23
% 57.41/8.92 | (275) op2(e20, e22) = all_22_15
% 57.41/8.92 | (276) op2(e20, e23) = all_22_7
% 57.41/8.92 | (277) op2(e20, all_22_23) = all_22_22
% 57.41/8.92 | (278) op2(e20, all_22_15) = all_22_14
% 57.41/8.92 | (279) op2(e20, all_22_7) = all_22_6
% 57.41/8.92 | (280) op2(e21, e20) = all_22_29
% 57.41/8.92 | (281) op2(e21, e21) = all_22_21
% 57.41/8.92 | (282) op2(e21, e22) = all_22_13
% 57.41/8.92 | (283) op2(e21, e23) = all_22_5
% 57.41/8.92 | (284) op2(e21, all_22_21) = all_22_20
% 57.41/8.92 | (285) op2(e21, all_22_13) = all_22_12
% 57.41/8.92 | (286) op2(e21, all_22_5) = all_22_4
% 57.41/8.92 | (287) op2(e22, e20) = all_22_27
% 57.41/8.92 | (288) op2(e22, e21) = all_22_19
% 57.41/8.92 | (289) op2(e22, e22) = all_22_11
% 57.41/8.92 | (290) op2(e22, e23) = all_22_3
% 57.41/8.92 | (291) op2(e22, all_22_19) = all_22_18
% 57.41/8.92 | (292) op2(e22, all_22_11) = all_22_10
% 57.41/8.92 | (293) op2(e22, all_22_3) = all_22_2
% 57.41/8.92 | (294) op2(e23, e20) = all_22_25
% 57.41/8.92 | (295) op2(e23, e21) = all_22_17
% 57.41/8.92 | (296) op2(e23, e22) = all_22_9
% 57.41/8.92 | (297) op2(e23, e23) = all_22_1
% 57.41/8.92 | (298) op2(e23, all_22_25) = all_22_24
% 57.41/8.92 | (299) op2(e23, all_22_17) = all_22_16
% 57.41/8.92 | (300) op2(e23, all_22_9) = all_22_8
% 57.41/8.92 | (301) op2(e23, all_22_1) = all_22_0
% 57.41/8.92 | (302) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 = e22) & ~
% 57.41/8.92 | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)) |
% 57.41/8.92 | (all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 57.41/8.92 | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 57.41/8.92 | (all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 57.41/8.92 | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21)) |
% 57.41/8.92 | (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 = e23) & ~
% 57.41/8.92 | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 57.41/8.92 | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 57.41/8.92 | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20)) |
% 57.41/8.92 | (all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 57.41/8.92 | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 57.41/8.92 | (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 = e21) & ~
% 57.41/8.92 | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21)) |
% 57.41/8.92 | (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 57.41/8.92 | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)) |
% 57.41/8.92 | (all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 57.41/8.92 | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20)) |
% 57.41/8.92 | (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 57.41/8.92 | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)) |
% 57.41/8.92 | (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 57.41/8.92 | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20)) |
% 57.41/8.92 | (all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 57.41/8.92 | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21))
% 57.41/8.92 | (303) all_22_16 = e23 | all_22_18 = e22 | all_22_20 = e21 | all_22_22 = e20
% 57.41/8.92 | (304) all_22_8 = e23 | all_22_10 = e22 | all_22_12 = e21 | all_22_14 = e20
% 57.41/8.92 | (305) all_22_0 = e23 | all_22_2 = e22 | all_22_4 = e21 | all_22_6 = e20
% 57.41/8.92 |
% 57.41/8.92 | DELTA: instantiating (2) with fresh symbols all_24_0, all_24_1, all_24_2,
% 57.41/8.92 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 57.41/8.92 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives:
% 57.41/8.92 | (306) op1(e13, e13) = all_24_0 & op1(e13, e12) = all_24_1 & op1(e13, e11) =
% 57.41/8.92 | all_24_4 & op1(e13, e10) = all_24_9 & op1(e12, e13) = all_24_2 &
% 57.41/8.92 | op1(e12, e12) = all_24_3 & op1(e12, e11) = all_24_5 & op1(e12, e10) =
% 57.41/8.92 | all_24_10 & op1(e11, e13) = all_24_6 & op1(e11, e12) = all_24_7 &
% 57.41/8.92 | op1(e11, e11) = all_24_8 & op1(e11, e10) = all_24_11 & op1(e10, e13)
% 57.41/8.92 | = all_24_12 & op1(e10, e12) = all_24_13 & op1(e10, e11) = all_24_14 &
% 57.41/8.92 | op1(e10, e10) = all_24_15 & $i(all_24_0) & $i(all_24_1) &
% 57.41/8.92 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 57.41/8.92 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 57.41/8.92 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 57.41/8.92 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e13 | all_24_1 = e13 |
% 57.41/8.92 | all_24_4 = e13 | all_24_9 = e13) & (all_24_0 = e13 | all_24_2 = e13
% 57.41/8.92 | | all_24_6 = e13 | all_24_12 = e13) & (all_24_0 = e12 | all_24_1 =
% 57.41/8.92 | e12 | all_24_4 = e12 | all_24_9 = e12) & (all_24_0 = e12 | all_24_2
% 57.41/8.92 | = e12 | all_24_6 = e12 | all_24_12 = e12) & (all_24_0 = e11 |
% 57.41/8.92 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11) & (all_24_0 = e11
% 57.41/8.92 | | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11) & (all_24_0 =
% 57.41/8.92 | e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10) & (all_24_0
% 57.41/8.92 | = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10) &
% 57.41/8.92 | (all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13)
% 57.41/8.92 | & (all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 =
% 57.41/8.92 | e12) & (all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 |
% 57.41/8.92 | all_24_13 = e11) & (all_24_1 = e10 | all_24_3 = e10 | all_24_7 =
% 57.41/8.92 | e10 | all_24_13 = e10) & (all_24_2 = e13 | all_24_3 = e13 |
% 57.41/8.92 | all_24_5 = e13 | all_24_10 = e13) & (all_24_2 = e12 | all_24_3 =
% 57.41/8.92 | e12 | all_24_5 = e12 | all_24_10 = e12) & (all_24_2 = e11 |
% 57.41/8.92 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11) & (all_24_2 =
% 57.41/8.92 | e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10) &
% 57.41/8.92 | (all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13)
% 57.41/8.92 | & (all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 =
% 57.41/8.92 | e12) & (all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 |
% 57.41/8.92 | all_24_14 = e11) & (all_24_4 = e10 | all_24_5 = e10 | all_24_8 =
% 57.41/8.92 | e10 | all_24_14 = e10) & (all_24_6 = e13 | all_24_7 = e13 |
% 57.41/8.92 | all_24_8 = e13 | all_24_11 = e13) & (all_24_6 = e12 | all_24_7 =
% 57.41/8.92 | e12 | all_24_8 = e12 | all_24_11 = e12) & (all_24_6 = e11 |
% 57.41/8.92 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11) & (all_24_6 =
% 57.41/8.92 | e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10) &
% 57.41/8.92 | (all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 57.41/8.92 | e13) & (all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 |
% 57.41/8.92 | all_24_15 = e12) & (all_24_9 = e11 | all_24_10 = e11 | all_24_11 =
% 57.41/8.92 | e11 | all_24_15 = e11) & (all_24_12 = e13 | all_24_13 = e13 |
% 57.41/8.92 | all_24_14 = e13 | all_24_15 = e13) & (all_24_12 = e12 | all_24_13 =
% 57.41/8.92 | e12 | all_24_14 = e12 | all_24_15 = e12) & (all_24_12 = e11 |
% 57.41/8.92 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11) & (all_24_15 =
% 57.41/8.92 | e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) &
% 57.41/8.92 | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)))
% 57.41/8.92 |
% 57.41/8.92 | ALPHA: (306) implies:
% 57.41/8.93 | (307) op1(e10, e10) = all_24_15
% 57.41/8.93 | (308) op1(e10, e11) = all_24_14
% 57.41/8.93 | (309) op1(e10, e12) = all_24_13
% 57.41/8.93 | (310) op1(e10, e13) = all_24_12
% 57.41/8.93 | (311) op1(e11, e10) = all_24_11
% 57.41/8.93 | (312) op1(e11, e11) = all_24_8
% 57.41/8.93 | (313) op1(e11, e12) = all_24_7
% 57.41/8.93 | (314) op1(e11, e13) = all_24_6
% 57.41/8.93 | (315) op1(e12, e10) = all_24_10
% 57.41/8.93 | (316) op1(e12, e11) = all_24_5
% 57.41/8.93 | (317) op1(e12, e12) = all_24_3
% 57.41/8.93 | (318) op1(e12, e13) = all_24_2
% 57.41/8.93 | (319) op1(e13, e10) = all_24_9
% 57.41/8.93 | (320) op1(e13, e11) = all_24_4
% 57.41/8.93 | (321) op1(e13, e12) = all_24_1
% 57.41/8.93 | (322) op1(e13, e13) = all_24_0
% 57.41/8.93 | (323) all_24_9 = e11 | all_24_10 = e11 | all_24_11 = e11 | all_24_15 = e11
% 57.41/8.93 | (324) all_24_6 = e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 57.41/8.93 | (325) all_24_6 = e11 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 57.41/8.93 | (326) all_24_6 = e13 | all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 57.41/8.93 | (327) all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 57.41/8.93 | (328) all_24_2 = e11 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11
% 57.41/8.93 | (329) all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 57.41/8.93 |
% 57.41/8.93 | DELTA: instantiating (4) with fresh symbols all_26_0, all_26_1, all_26_2,
% 57.41/8.93 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 57.41/8.93 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives:
% 57.41/8.93 | (330) op2(e23, e23) = all_26_0 & op2(e23, e22) = all_26_1 & op2(e23, e21) =
% 57.41/8.93 | all_26_4 & op2(e23, e20) = all_26_9 & op2(e22, e23) = all_26_2 &
% 57.41/8.93 | op2(e22, e22) = all_26_3 & op2(e22, e21) = all_26_5 & op2(e22, e20) =
% 57.41/8.93 | all_26_10 & op2(e21, e23) = all_26_6 & op2(e21, e22) = all_26_7 &
% 57.41/8.93 | op2(e21, e21) = all_26_8 & op2(e21, e20) = all_26_11 & op2(e20, e23)
% 57.41/8.93 | = all_26_12 & op2(e20, e22) = all_26_13 & op2(e20, e21) = all_26_14 &
% 57.41/8.93 | op2(e20, e20) = all_26_15 & $i(all_26_0) & $i(all_26_1) &
% 57.41/8.93 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 57.41/8.93 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 57.41/8.93 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 57.41/8.93 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e23 | all_26_1 = e23 |
% 57.41/8.93 | all_26_4 = e23 | all_26_9 = e23) & (all_26_0 = e23 | all_26_2 = e23
% 57.41/8.93 | | all_26_6 = e23 | all_26_12 = e23) & (all_26_0 = e22 | all_26_1 =
% 57.41/8.93 | e22 | all_26_4 = e22 | all_26_9 = e22) & (all_26_0 = e22 | all_26_2
% 57.41/8.93 | = e22 | all_26_6 = e22 | all_26_12 = e22) & (all_26_0 = e21 |
% 57.41/8.93 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21) & (all_26_0 = e21
% 57.41/8.93 | | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21) & (all_26_0 =
% 57.41/8.93 | e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20) & (all_26_0
% 57.41/8.93 | = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20) &
% 57.41/8.93 | (all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23)
% 57.41/8.93 | & (all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 =
% 57.41/8.93 | e22) & (all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 |
% 57.41/8.93 | all_26_13 = e21) & (all_26_1 = e20 | all_26_3 = e20 | all_26_7 =
% 57.41/8.93 | e20 | all_26_13 = e20) & (all_26_2 = e23 | all_26_3 = e23 |
% 57.41/8.93 | all_26_5 = e23 | all_26_10 = e23) & (all_26_2 = e22 | all_26_3 =
% 57.41/8.93 | e22 | all_26_5 = e22 | all_26_10 = e22) & (all_26_2 = e21 |
% 57.41/8.93 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21) & (all_26_2 =
% 57.41/8.93 | e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20) &
% 57.41/8.93 | (all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23)
% 57.41/8.93 | & (all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 =
% 57.41/8.93 | e22) & (all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 |
% 57.41/8.93 | all_26_14 = e21) & (all_26_4 = e20 | all_26_5 = e20 | all_26_8 =
% 57.41/8.93 | e20 | all_26_14 = e20) & (all_26_6 = e23 | all_26_7 = e23 |
% 57.41/8.93 | all_26_8 = e23 | all_26_11 = e23) & (all_26_6 = e22 | all_26_7 =
% 57.41/8.93 | e22 | all_26_8 = e22 | all_26_11 = e22) & (all_26_6 = e21 |
% 57.41/8.93 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21) & (all_26_6 =
% 57.41/8.93 | e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20) &
% 57.41/8.93 | (all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 57.41/8.93 | e23) & (all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 |
% 57.41/8.93 | all_26_15 = e22) & (all_26_9 = e21 | all_26_10 = e21 | all_26_11 =
% 57.41/8.93 | e21 | all_26_15 = e21) & (all_26_12 = e23 | all_26_13 = e23 |
% 57.41/8.93 | all_26_14 = e23 | all_26_15 = e23) & (all_26_12 = e22 | all_26_13 =
% 57.41/8.93 | e22 | all_26_14 = e22 | all_26_15 = e22) & (all_26_12 = e21 |
% 57.41/8.93 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21) & (all_26_15 =
% 57.41/8.93 | e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 57.41/8.93 | (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)))
% 57.41/8.93 |
% 57.41/8.93 | ALPHA: (330) implies:
% 57.41/8.93 | (331) op2(e20, e20) = all_26_15
% 57.41/8.93 | (332) op2(e20, e21) = all_26_14
% 57.41/8.93 | (333) op2(e20, e22) = all_26_13
% 57.41/8.93 | (334) op2(e20, e23) = all_26_12
% 57.41/8.93 | (335) op2(e21, e20) = all_26_11
% 57.41/8.93 | (336) op2(e21, e21) = all_26_8
% 57.41/8.93 | (337) op2(e21, e22) = all_26_7
% 57.41/8.93 | (338) op2(e21, e23) = all_26_6
% 57.41/8.93 | (339) op2(e22, e20) = all_26_10
% 57.41/8.93 | (340) op2(e22, e21) = all_26_5
% 57.41/8.93 | (341) op2(e22, e22) = all_26_3
% 57.41/8.93 | (342) op2(e22, e23) = all_26_2
% 57.41/8.93 | (343) op2(e23, e20) = all_26_9
% 57.41/8.93 | (344) op2(e23, e21) = all_26_4
% 57.41/8.93 | (345) op2(e23, e22) = all_26_1
% 57.41/8.93 | (346) op2(e23, e23) = all_26_0
% 57.41/8.93 | (347) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 57.41/8.93 | e20) & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 57.41/8.93 | (348) all_26_12 = e21 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21
% 57.41/8.93 | (349) all_26_12 = e22 | all_26_13 = e22 | all_26_14 = e22 | all_26_15 = e22
% 57.41/8.93 | (350) all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 57.41/8.93 | (351) all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23
% 57.41/8.93 | (352) all_26_2 = e21 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 57.41/8.93 | (353) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 57.41/8.93 | (354) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 57.41/8.93 | (355) all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 57.41/8.93 | (356) all_26_0 = e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20
% 57.41/8.94 | (357) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 57.41/8.94 | (358) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 57.41/8.94 | (359) all_26_0 = e23 | all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 57.41/8.94 |
% 57.41/8.94 | DELTA: instantiating (21) with fresh symbols all_28_0, all_28_1, all_28_2,
% 57.41/8.94 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 57.41/8.94 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 57.41/8.94 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 57.41/8.94 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 57.41/8.94 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 57.41/8.94 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 57.41/8.94 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 57.41/8.94 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 57.41/8.94 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 57.41/8.94 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 57.41/8.94 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 57.41/8.94 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 57.41/8.94 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 57.41/8.94 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 57.41/8.94 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 57.41/8.94 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 57.41/8.94 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 57.41/8.94 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 57.41/8.94 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 57.41/8.94 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 57.41/8.94 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 57.41/8.94 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 57.41/8.94 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 57.41/8.94 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 57.41/8.94 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 57.41/8.94 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 57.41/8.94 | gives:
% 57.55/8.95 | (360) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 57.55/8.95 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 57.55/8.95 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 57.55/8.95 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 57.55/8.95 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 57.55/8.95 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 57.55/8.95 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 57.55/8.95 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 57.55/8.95 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 57.55/8.95 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 57.55/8.95 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 57.55/8.95 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 57.55/8.95 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 57.55/8.95 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 57.55/8.95 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 57.55/8.95 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 57.55/8.95 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 57.55/8.95 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 57.55/8.95 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 57.55/8.95 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 57.55/8.95 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 57.55/8.95 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 57.55/8.95 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 57.55/8.95 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 57.55/8.95 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 57.55/8.95 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 57.55/8.95 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 57.55/8.95 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 57.55/8.95 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 57.55/8.95 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 57.55/8.95 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 57.55/8.95 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 57.55/8.95 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 57.55/8.95 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 57.55/8.95 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 57.55/8.95 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 57.55/8.95 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 57.55/8.95 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 57.55/8.95 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 57.55/8.95 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 57.55/8.95 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 57.55/8.95 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 57.55/8.95 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 57.55/8.95 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 57.55/8.95 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 57.55/8.95 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 57.55/8.95 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 57.55/8.95 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 57.55/8.95 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 57.55/8.95 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 57.55/8.95 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 57.55/8.95 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 57.55/8.95 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 57.55/8.95 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 57.55/8.95 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 57.55/8.95 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 57.55/8.95 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 57.55/8.95 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 57.55/8.95 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 57.55/8.95 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 57.55/8.95 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 57.55/8.95 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 57.55/8.95 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 57.55/8.95 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 57.55/8.95 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 57.55/8.95 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 57.55/8.95 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 57.55/8.95 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 57.55/8.95 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 57.55/8.95 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 57.55/8.95 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 57.55/8.95 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 57.55/8.95 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 57.55/8.95 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 57.55/8.95 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 57.55/8.95 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 57.55/8.95 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 57.55/8.95 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 57.55/8.95 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 57.55/8.95 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 57.55/8.95 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 57.55/8.95 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 57.55/8.95 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 57.55/8.95 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 57.55/8.95 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 57.55/8.95 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 57.55/8.95 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 57.55/8.95 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 57.55/8.95 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 57.55/8.95 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 57.55/8.95 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 57.55/8.95 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 57.55/8.95 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 57.55/8.95 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 57.55/8.95 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 57.55/8.95 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 57.55/8.95 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 57.55/8.95 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 57.55/8.95 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 57.55/8.95 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 57.55/8.95 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 57.55/8.95 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 57.55/8.95 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 57.55/8.95 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 57.55/8.95 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 57.55/8.95 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 57.55/8.95 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 57.55/8.95 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 57.55/8.95 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 57.55/8.95 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 57.55/8.95 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 57.55/8.95 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 57.55/8.95 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 57.55/8.95 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 57.55/8.95 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 57.55/8.95 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 57.55/8.95 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 57.55/8.95 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 57.55/8.95 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 57.55/8.95 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 57.55/8.95 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 57.55/8.95 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 57.55/8.95 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 57.55/8.95 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 57.55/8.95 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 57.55/8.95 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 57.55/8.95 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 57.55/8.95 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 57.55/8.95 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.55/8.95 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.55/8.95 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.55/8.95 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 57.55/8.95 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 57.55/8.95 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.55/8.95 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 57.55/8.95 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 57.55/8.95 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 57.55/8.95 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 57.55/8.95 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 57.55/8.95 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 57.55/8.95 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 57.55/8.95 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 57.55/8.95 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 57.55/8.95 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 57.55/8.95 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 57.55/8.95 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 57.55/8.95 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 57.55/8.95 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 57.55/8.95 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 57.55/8.95 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 57.55/8.95 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 57.55/8.95 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 57.55/8.95 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 57.55/8.95 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 57.55/8.95 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 57.55/8.95 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 57.55/8.95 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 57.55/8.95 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 57.55/8.95 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 57.55/8.95 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 57.55/8.95 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 57.55/8.95 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 57.55/8.95 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 57.55/8.95 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 57.55/8.95 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 57.55/8.95 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 57.55/8.95 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 57.55/8.95 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 57.55/8.95 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 57.55/8.95 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 57.55/8.95 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 57.55/8.95 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 57.55/8.95 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 57.55/8.95 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 57.55/8.95 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 57.55/8.95 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 57.55/8.95 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 57.55/8.95 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 57.55/8.95 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 57.55/8.95 | (all_28_157 = e20)))
% 57.55/8.95 |
% 57.55/8.95 | ALPHA: (360) implies:
% 57.55/8.95 | (361) op1(e10, e10) = all_28_159
% 57.55/8.95 | (362) op1(e10, e11) = all_28_155
% 57.55/8.95 | (363) op1(e10, e12) = all_28_151
% 57.55/8.95 | (364) op1(e10, e13) = all_28_147
% 57.55/8.95 | (365) op1(e11, e10) = all_28_143
% 57.55/8.95 | (366) op1(e11, e11) = all_28_140
% 57.55/8.95 | (367) op1(e11, e12) = all_28_137
% 57.55/8.95 | (368) op1(e11, e13) = all_28_134
% 57.55/8.95 | (369) op1(e12, e10) = all_28_131
% 57.55/8.95 | (370) op1(e12, e11) = all_28_128
% 57.55/8.95 | (371) op1(e12, e12) = all_28_125
% 57.55/8.95 | (372) op1(e12, e13) = all_28_122
% 57.55/8.95 | (373) op1(e13, e10) = all_28_119
% 57.55/8.95 | (374) op1(e13, e11) = all_28_116
% 57.55/8.95 | (375) op1(e13, e12) = all_28_113
% 57.55/8.95 | (376) op1(e13, e13) = all_28_110
% 57.55/8.95 | (377) op2(all_28_153, all_28_145) = all_28_132
% 57.55/8.95 | (378) op2(all_28_145, all_28_145) = all_28_108
% 57.55/8.95 | (379) op2(all_28_97, all_28_103) = all_28_76
% 57.55/8.95 | (380) op2(all_28_97, all_28_97) = all_28_72
% 57.55/8.95 | (381) op2(all_28_70, all_28_70) = all_28_69
% 57.55/8.95 | (382) op2(all_28_70, all_28_67) = all_28_66
% 57.55/8.95 | (383) op2(all_28_70, all_28_64) = all_28_63
% 57.55/8.95 | (384) op2(all_28_70, all_28_61) = all_28_60
% 57.55/8.95 | (385) op2(all_28_67, all_28_70) = all_28_58
% 57.55/8.95 | (386) op2(all_28_67, all_28_67) = all_28_56
% 57.55/8.95 | (387) op2(all_28_67, all_28_64) = all_28_54
% 57.55/8.95 | (388) op2(all_28_67, all_28_61) = all_28_52
% 57.55/8.95 | (389) op2(all_28_64, all_28_70) = all_28_50
% 57.55/8.95 | (390) op2(all_28_64, all_28_67) = all_28_48
% 57.55/8.95 | (391) op2(all_28_64, all_28_64) = all_28_46
% 57.55/8.95 | (392) op2(all_28_64, all_28_61) = all_28_44
% 57.55/8.95 | (393) op2(all_28_61, all_28_70) = all_28_42
% 57.55/8.95 | (394) op2(all_28_61, all_28_67) = all_28_40
% 57.55/8.95 | (395) op2(all_28_61, all_28_64) = all_28_38
% 57.55/8.95 | (396) op2(all_28_61, all_28_61) = all_28_36
% 57.55/8.95 | (397) op2(all_28_34, all_28_34) = all_28_33
% 57.55/8.95 | (398) op2(all_28_34, all_28_31) = all_28_30
% 57.55/8.95 | (399) op2(all_28_34, all_28_28) = all_28_27
% 57.55/8.95 | (400) op2(all_28_34, all_28_25) = all_28_24
% 57.55/8.95 | (401) op2(all_28_31, all_28_34) = all_28_22
% 57.55/8.95 | (402) op2(all_28_31, all_28_31) = all_28_20
% 57.55/8.95 | (403) op2(all_28_31, all_28_28) = all_28_18
% 57.55/8.95 | (404) op2(all_28_31, all_28_25) = all_28_16
% 57.55/8.95 | (405) op2(all_28_28, all_28_34) = all_28_14
% 57.55/8.95 | (406) op2(all_28_28, all_28_31) = all_28_12
% 57.55/8.95 | (407) op2(all_28_25, all_28_34) = all_28_6
% 57.55/8.95 | (408) op2(all_28_25, all_28_31) = all_28_4
% 57.55/8.95 | (409) op2(all_28_25, all_28_28) = all_28_2
% 57.55/8.95 | (410) op2(all_28_25, all_28_25) = all_28_0
% 57.55/8.95 | (411) h1(e11) = all_28_153
% 57.55/8.95 | (412) h1(e13) = all_28_145
% 57.55/8.95 | (413) h2(e11) = all_28_103
% 57.55/8.95 | (414) h2(e13) = all_28_97
% 57.55/8.95 | (415) h3(e10) = all_28_70
% 57.55/8.95 | (416) h3(e11) = all_28_67
% 57.55/8.95 | (417) h3(e12) = all_28_64
% 57.55/8.95 | (418) h3(e13) = all_28_61
% 57.55/8.95 | (419) h3(all_28_159) = all_28_71
% 57.55/8.95 | (420) h3(all_28_155) = all_28_68
% 57.55/8.95 | (421) h3(all_28_151) = all_28_65
% 57.55/8.95 | (422) h3(all_28_147) = all_28_62
% 57.55/8.95 | (423) h3(all_28_143) = all_28_59
% 57.55/8.95 | (424) h3(all_28_140) = all_28_57
% 57.55/8.95 | (425) h3(all_28_137) = all_28_55
% 57.55/8.95 | (426) h3(all_28_134) = all_28_53
% 57.55/8.95 | (427) h3(all_28_131) = all_28_51
% 57.55/8.95 | (428) h3(all_28_128) = all_28_49
% 57.55/8.95 | (429) h3(all_28_125) = all_28_47
% 57.55/8.95 | (430) h3(all_28_122) = all_28_45
% 57.55/8.95 | (431) h3(all_28_119) = all_28_43
% 57.55/8.95 | (432) h3(all_28_116) = all_28_41
% 57.55/8.95 | (433) h3(all_28_113) = all_28_39
% 57.55/8.95 | (434) h3(all_28_110) = all_28_37
% 57.55/8.95 | (435) h4(e10) = all_28_34
% 57.55/8.95 | (436) h4(e11) = all_28_31
% 57.55/8.95 | (437) h4(e12) = all_28_28
% 57.55/8.96 | (438) h4(e13) = all_28_25
% 57.55/8.96 | (439) ~ (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 57.55/8.96 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ (all_28_44
% 57.55/8.96 | = all_28_45) | ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 57.55/8.96 | all_28_49) | ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 57.55/8.96 | all_28_53) | ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 57.55/8.96 | all_28_57) | ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 57.55/8.96 | all_28_62) | ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 57.55/8.96 | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 57.55/8.96 | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~ (all_28_70 = e23))
% 57.55/8.96 | | ( ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~ (all_28_67 = e22)
% 57.55/8.96 | & ~ (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~ (all_28_64 =
% 57.55/8.96 | e21) & ~ (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 57.55/8.96 | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~ (all_28_67 = e20) &
% 57.55/8.96 | ~ (all_28_70 = e20))
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_15, all_24_15, e10, e10,
% 57.55/8.96 | simplifying with (181), (307) gives:
% 57.55/8.96 | (440) all_24_15 = all_16_15
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_15, all_24_15, e10, e10,
% 57.55/8.96 | simplifying with (100), (307) gives:
% 57.55/8.96 | (441) all_24_15 = all_12_15
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_15, all_28_159, e10, e10,
% 57.55/8.96 | simplifying with (307), (361) gives:
% 57.55/8.96 | (442) all_28_159 = all_24_15
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_31, all_28_159, e10, e10,
% 57.55/8.96 | simplifying with (240), (361) gives:
% 57.55/8.96 | (443) all_28_159 = all_20_31
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_23, all_24_14, e11, e10,
% 57.55/8.96 | simplifying with (241), (308) gives:
% 57.55/8.96 | (444) all_24_14 = all_20_23
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_14, all_24_14, e11, e10,
% 57.55/8.96 | simplifying with (182), (308) gives:
% 57.55/8.96 | (445) all_24_14 = all_16_14
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_14, all_28_155, e11, e10,
% 57.55/8.96 | simplifying with (308), (362) gives:
% 57.55/8.96 | (446) all_28_155 = all_24_14
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_11, all_28_155, e11, e10,
% 57.55/8.96 | simplifying with (101), (362) gives:
% 57.55/8.96 | (447) all_28_155 = all_12_11
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_13, all_24_13, e12, e10,
% 57.55/8.96 | simplifying with (183), (309) gives:
% 57.55/8.96 | (448) all_24_13 = all_16_13
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_7, all_24_13, e12, e10,
% 57.55/8.96 | simplifying with (102), (309) gives:
% 57.55/8.96 | (449) all_24_13 = all_12_7
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_13, all_28_151, e12, e10,
% 57.55/8.96 | simplifying with (309), (363) gives:
% 57.55/8.96 | (450) all_28_151 = all_24_13
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_15, all_28_151, e12, e10,
% 57.55/8.96 | simplifying with (242), (363) gives:
% 57.55/8.96 | (451) all_28_151 = all_20_15
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_12, all_20_7, e13, e10,
% 57.55/8.96 | simplifying with (184), (243) gives:
% 57.55/8.96 | (452) all_20_7 = all_16_12
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_7, all_24_12, e13, e10,
% 57.55/8.96 | simplifying with (243), (310) gives:
% 57.55/8.96 | (453) all_24_12 = all_20_7
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_12, all_28_147, e13, e10,
% 57.55/8.96 | simplifying with (310), (364) gives:
% 57.55/8.96 | (454) all_28_147 = all_24_12
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_3, all_28_147, e13, e10,
% 57.55/8.96 | simplifying with (103), (364) gives:
% 57.55/8.96 | (455) all_28_147 = all_12_3
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_11, all_20_29, e10, e11,
% 57.55/8.96 | simplifying with (185), (247) gives:
% 57.55/8.96 | (456) all_20_29 = all_16_11
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_11, all_28_143, e10, e11,
% 57.55/8.96 | simplifying with (311), (365) gives:
% 57.55/8.96 | (457) all_28_143 = all_24_11
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_29, all_28_143, e10, e11,
% 57.55/8.96 | simplifying with (247), (365) gives:
% 57.55/8.96 | (458) all_28_143 = all_20_29
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_14, all_28_143, e10, e11,
% 57.55/8.96 | simplifying with (104), (365) gives:
% 57.55/8.96 | (459) all_28_143 = all_12_14
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_10, all_20_21, e11, e11,
% 57.55/8.96 | simplifying with (105), (248) gives:
% 57.55/8.96 | (460) all_20_21 = all_12_10
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_8, all_28_140, e11, e11,
% 57.55/8.96 | simplifying with (312), (366) gives:
% 57.55/8.96 | (461) all_28_140 = all_24_8
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_21, all_28_140, e11, e11,
% 57.55/8.96 | simplifying with (248), (366) gives:
% 57.55/8.96 | (462) all_28_140 = all_20_21
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_10, all_28_140, e11, e11,
% 57.55/8.96 | simplifying with (186), (366) gives:
% 57.55/8.96 | (463) all_28_140 = all_16_10
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_6, all_24_7, e12, e11, simplifying
% 57.55/8.96 | with (106), (313) gives:
% 57.55/8.96 | (464) all_24_7 = all_12_6
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_7, all_28_137, e12, e11,
% 57.55/8.96 | simplifying with (313), (367) gives:
% 57.55/8.96 | (465) all_28_137 = all_24_7
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_13, all_28_137, e12, e11,
% 57.55/8.96 | simplifying with (249), (367) gives:
% 57.55/8.96 | (466) all_28_137 = all_20_13
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_9, all_28_137, e12, e11,
% 57.55/8.96 | simplifying with (187), (367) gives:
% 57.55/8.96 | (467) all_28_137 = all_16_9
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_2, all_20_5, e13, e11, simplifying
% 57.55/8.96 | with (107), (250) gives:
% 57.55/8.96 | (468) all_20_5 = all_12_2
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_5, all_24_6, e13, e11, simplifying
% 57.55/8.96 | with (250), (314) gives:
% 57.55/8.96 | (469) all_24_6 = all_20_5
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_6, all_28_134, e13, e11,
% 57.55/8.96 | simplifying with (314), (368) gives:
% 57.55/8.96 | (470) all_28_134 = all_24_6
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_8, all_28_134, e13, e11,
% 57.55/8.96 | simplifying with (188), (368) gives:
% 57.55/8.96 | (471) all_28_134 = all_16_8
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_27, all_24_10, e10, e12,
% 57.55/8.96 | simplifying with (254), (315) gives:
% 57.55/8.96 | (472) all_24_10 = all_20_27
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_7, all_24_10, e10, e12,
% 57.55/8.96 | simplifying with (189), (315) gives:
% 57.55/8.96 | (473) all_24_10 = all_16_7
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_10, all_28_131, e10, e12,
% 57.55/8.96 | simplifying with (315), (369) gives:
% 57.55/8.96 | (474) all_28_131 = all_24_10
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_13, all_28_131, e10, e12,
% 57.55/8.96 | simplifying with (108), (369) gives:
% 57.55/8.96 | (475) all_28_131 = all_12_13
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_6, all_20_19, e11, e12,
% 57.55/8.96 | simplifying with (190), (255) gives:
% 57.55/8.96 | (476) all_20_19 = all_16_6
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_19, all_24_5, e11, e12,
% 57.55/8.96 | simplifying with (255), (316) gives:
% 57.55/8.96 | (477) all_24_5 = all_20_19
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_5, all_28_128, e11, e12,
% 57.55/8.96 | simplifying with (316), (370) gives:
% 57.55/8.96 | (478) all_28_128 = all_24_5
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_9, all_28_128, e11, e12,
% 57.55/8.96 | simplifying with (109), (370) gives:
% 57.55/8.96 | (479) all_28_128 = all_12_9
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_16_5, all_24_3, e12, e12, simplifying
% 57.55/8.96 | with (191), (317) gives:
% 57.55/8.96 | (480) all_24_3 = all_16_5
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_12_5, all_24_3, e12, e12, simplifying
% 57.55/8.96 | with (110), (317) gives:
% 57.55/8.96 | (481) all_24_3 = all_12_5
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_24_3, all_28_125, e12, e12,
% 57.55/8.96 | simplifying with (317), (371) gives:
% 57.55/8.96 | (482) all_28_125 = all_24_3
% 57.55/8.96 |
% 57.55/8.96 | GROUND_INST: instantiating (26) with all_20_11, all_28_125, e12, e12,
% 57.55/8.96 | simplifying with (256), (371) gives:
% 57.55/8.97 | (483) all_28_125 = all_20_11
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_12_1, all_16_4, e13, e12, simplifying
% 57.55/8.97 | with (111), (192) gives:
% 57.55/8.97 | (484) all_16_4 = all_12_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_16_4, all_20_3, e13, e12, simplifying
% 57.55/8.97 | with (192), (257) gives:
% 57.55/8.97 | (485) all_20_3 = all_16_4
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_20_3, all_24_2, e13, e12, simplifying
% 57.55/8.97 | with (257), (318) gives:
% 57.55/8.97 | (486) all_24_2 = all_20_3
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_24_2, all_28_122, e13, e12,
% 57.55/8.97 | simplifying with (318), (372) gives:
% 57.55/8.97 | (487) all_28_122 = all_24_2
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with e10, all_28_122, e13, e12, simplifying
% 57.55/8.97 | with (11), (372) gives:
% 57.55/8.97 | (488) all_28_122 = e10
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_20_25, all_24_9, e10, e13,
% 57.55/8.97 | simplifying with (261), (319) gives:
% 57.55/8.97 | (489) all_24_9 = all_20_25
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_16_3, all_24_9, e10, e13, simplifying
% 57.55/8.97 | with (193), (319) gives:
% 57.55/8.97 | (490) all_24_9 = all_16_3
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_24_9, all_28_119, e10, e13,
% 57.55/8.97 | simplifying with (319), (373) gives:
% 57.55/8.97 | (491) all_28_119 = all_24_9
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_12_12, all_28_119, e10, e13,
% 57.55/8.97 | simplifying with (112), (373) gives:
% 57.55/8.97 | (492) all_28_119 = all_12_12
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_12_8, all_20_17, e11, e13,
% 57.55/8.97 | simplifying with (113), (262) gives:
% 57.55/8.97 | (493) all_20_17 = all_12_8
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with e12, all_20_17, e11, e13, simplifying
% 57.55/8.97 | with (12), (262) gives:
% 57.55/8.97 | (494) all_20_17 = e12
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_20_17, all_24_4, e11, e13,
% 57.55/8.97 | simplifying with (262), (320) gives:
% 57.55/8.97 | (495) all_24_4 = all_20_17
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_24_4, all_28_116, e11, e13,
% 57.55/8.97 | simplifying with (320), (374) gives:
% 57.55/8.97 | (496) all_28_116 = all_24_4
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_16_2, all_28_116, e11, e13,
% 57.55/8.97 | simplifying with (194), (374) gives:
% 57.55/8.97 | (497) all_28_116 = all_16_2
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_16_1, all_20_9, e12, e13, simplifying
% 57.55/8.97 | with (195), (263) gives:
% 57.55/8.97 | (498) all_20_9 = all_16_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_24_1, all_28_113, e12, e13,
% 57.55/8.97 | simplifying with (321), (375) gives:
% 57.55/8.97 | (499) all_28_113 = all_24_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_20_9, all_28_113, e12, e13,
% 57.55/8.97 | simplifying with (263), (375) gives:
% 57.55/8.97 | (500) all_28_113 = all_20_9
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_12_4, all_28_113, e12, e13,
% 57.55/8.97 | simplifying with (114), (375) gives:
% 57.55/8.97 | (501) all_28_113 = all_12_4
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_20_1, all_24_0, e13, e13, simplifying
% 57.55/8.97 | with (264), (322) gives:
% 57.55/8.97 | (502) all_24_0 = all_20_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with e11, all_24_0, e13, e13, simplifying with
% 57.55/8.97 | (13), (322) gives:
% 57.55/8.97 | (503) all_24_0 = e11
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_20_1, all_28_110, e13, e13,
% 57.55/8.97 | simplifying with (264), (376) gives:
% 57.55/8.97 | (504) all_28_110 = all_20_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_16_0, all_28_110, e13, e13,
% 57.55/8.97 | simplifying with (196), (376) gives:
% 57.55/8.97 | (505) all_28_110 = all_16_0
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (26) with all_12_0, all_28_110, e13, e13,
% 57.55/8.97 | simplifying with (115), (376) gives:
% 57.55/8.97 | (506) all_28_110 = all_12_0
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_10_1, all_18_15, e20, e20,
% 57.55/8.97 | simplifying with (50), (210) gives:
% 57.55/8.97 | (507) all_18_15 = all_10_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_15, all_22_31, e20, e20,
% 57.55/8.97 | simplifying with (210), (273) gives:
% 57.55/8.97 | (508) all_22_31 = all_18_15
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_31, all_26_15, e20, e20,
% 57.55/8.97 | simplifying with (273), (331) gives:
% 57.55/8.97 | (509) all_26_15 = all_22_31
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_15, all_26_15, e20, e20,
% 57.55/8.97 | simplifying with (164), (331) gives:
% 57.55/8.97 | (510) all_26_15 = all_14_15
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_11, all_22_23, e21, e20,
% 57.55/8.97 | simplifying with (165), (274) gives:
% 57.55/8.97 | (511) all_22_23 = all_14_11
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_23, all_26_14, e21, e20,
% 57.55/8.97 | simplifying with (274), (332) gives:
% 57.55/8.97 | (512) all_26_14 = all_22_23
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_14, all_26_14, e21, e20,
% 57.55/8.97 | simplifying with (211), (332) gives:
% 57.55/8.97 | (513) all_26_14 = all_18_14
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_7, all_22_15, e22, e20,
% 57.55/8.97 | simplifying with (166), (275) gives:
% 57.55/8.97 | (514) all_22_15 = all_14_7
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_15, all_26_13, e22, e20,
% 57.55/8.97 | simplifying with (275), (333) gives:
% 57.55/8.97 | (515) all_26_13 = all_22_15
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_13, all_26_13, e22, e20,
% 57.55/8.97 | simplifying with (212), (333) gives:
% 57.55/8.97 | (516) all_26_13 = all_18_13
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_12, all_22_7, e23, e20,
% 57.55/8.97 | simplifying with (213), (276) gives:
% 57.55/8.97 | (517) all_22_7 = all_18_12
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_7, all_26_12, e23, e20,
% 57.55/8.97 | simplifying with (276), (334) gives:
% 57.55/8.97 | (518) all_26_12 = all_22_7
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_3, all_26_12, e23, e20,
% 57.55/8.97 | simplifying with (167), (334) gives:
% 57.55/8.97 | (519) all_26_12 = all_14_3
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_29, all_26_11, e20, e21,
% 57.55/8.97 | simplifying with (280), (335) gives:
% 57.55/8.97 | (520) all_26_11 = all_22_29
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_11, all_26_11, e20, e21,
% 57.55/8.97 | simplifying with (214), (335) gives:
% 57.55/8.97 | (521) all_26_11 = all_18_11
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_14, all_26_11, e20, e21,
% 57.55/8.97 | simplifying with (168), (335) gives:
% 57.55/8.97 | (522) all_26_11 = all_14_14
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_10, all_18_10, e21, e21,
% 57.55/8.97 | simplifying with (169), (215) gives:
% 57.55/8.97 | (523) all_18_10 = all_14_10
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_21, all_26_8, e21, e21,
% 57.55/8.97 | simplifying with (281), (336) gives:
% 57.55/8.97 | (524) all_26_8 = all_22_21
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_10, all_26_8, e21, e21,
% 57.55/8.97 | simplifying with (215), (336) gives:
% 57.55/8.97 | (525) all_26_8 = all_18_10
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_4_1, all_26_8, e21, e21, simplifying
% 57.55/8.97 | with (29), (336) gives:
% 57.55/8.97 | (526) all_26_8 = all_4_1
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_13, all_26_7, e22, e21,
% 57.55/8.97 | simplifying with (282), (337) gives:
% 57.55/8.97 | (527) all_26_7 = all_22_13
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_9, all_26_7, e22, e21, simplifying
% 57.55/8.97 | with (216), (337) gives:
% 57.55/8.97 | (528) all_26_7 = all_18_9
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_6, all_26_7, e22, e21, simplifying
% 57.55/8.97 | with (170), (337) gives:
% 57.55/8.97 | (529) all_26_7 = all_14_6
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_2, all_22_5, e23, e21, simplifying
% 57.55/8.97 | with (171), (283) gives:
% 57.55/8.97 | (530) all_22_5 = all_14_2
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_5, all_26_6, e23, e21, simplifying
% 57.55/8.97 | with (283), (338) gives:
% 57.55/8.97 | (531) all_26_6 = all_22_5
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_8, all_26_6, e23, e21, simplifying
% 57.55/8.97 | with (217), (338) gives:
% 57.55/8.97 | (532) all_26_6 = all_18_8
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_13, all_22_27, e20, e22,
% 57.55/8.97 | simplifying with (172), (287) gives:
% 57.55/8.97 | (533) all_22_27 = all_14_13
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_27, all_26_10, e20, e22,
% 57.55/8.97 | simplifying with (287), (339) gives:
% 57.55/8.97 | (534) all_26_10 = all_22_27
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_7, all_26_10, e20, e22,
% 57.55/8.97 | simplifying with (218), (339) gives:
% 57.55/8.97 | (535) all_26_10 = all_18_7
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_14_9, all_22_19, e21, e22,
% 57.55/8.97 | simplifying with (173), (288) gives:
% 57.55/8.97 | (536) all_22_19 = all_14_9
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_22_19, all_26_5, e21, e22,
% 57.55/8.97 | simplifying with (288), (340) gives:
% 57.55/8.97 | (537) all_26_5 = all_22_19
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_6, all_26_5, e21, e22, simplifying
% 57.55/8.97 | with (219), (340) gives:
% 57.55/8.97 | (538) all_26_5 = all_18_6
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_18_5, all_22_11, e22, e22,
% 57.55/8.97 | simplifying with (220), (289) gives:
% 57.55/8.97 | (539) all_22_11 = all_18_5
% 57.55/8.97 |
% 57.55/8.97 | GROUND_INST: instantiating (27) with all_6_1, all_22_11, e22, e22, simplifying
% 57.55/8.97 | with (34), (289) gives:
% 57.55/8.98 | (540) all_22_11 = all_6_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_5, all_26_3, e22, e22, simplifying
% 57.55/8.98 | with (220), (341) gives:
% 57.55/8.98 | (541) all_26_3 = all_18_5
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_14_5, all_26_3, e22, e22, simplifying
% 57.55/8.98 | with (174), (341) gives:
% 57.55/8.98 | (542) all_26_3 = all_14_5
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_4, all_22_3, e23, e22, simplifying
% 57.55/8.98 | with (221), (290) gives:
% 57.55/8.98 | (543) all_22_3 = all_18_4
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with e20, all_22_3, e23, e22, simplifying with
% 57.55/8.98 | (14), (290) gives:
% 57.55/8.98 | (544) all_22_3 = e20
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_4, all_26_2, e23, e22, simplifying
% 57.55/8.98 | with (221), (342) gives:
% 57.55/8.98 | (545) all_26_2 = all_18_4
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_14_1, all_26_2, e23, e22, simplifying
% 57.55/8.98 | with (175), (342) gives:
% 57.55/8.98 | (546) all_26_2 = all_14_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_14_12, all_22_25, e20, e23,
% 57.55/8.98 | simplifying with (176), (294) gives:
% 57.55/8.98 | (547) all_22_25 = all_14_12
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_22_25, all_26_9, e20, e23,
% 57.55/8.98 | simplifying with (294), (343) gives:
% 57.55/8.98 | (548) all_26_9 = all_22_25
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_3, all_26_9, e20, e23, simplifying
% 57.55/8.98 | with (222), (343) gives:
% 57.55/8.98 | (549) all_26_9 = all_18_3
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_2, all_22_17, e21, e23,
% 57.55/8.98 | simplifying with (223), (295) gives:
% 57.55/8.98 | (550) all_22_17 = all_18_2
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_14_8, all_22_17, e21, e23,
% 57.55/8.98 | simplifying with (177), (295) gives:
% 57.55/8.98 | (551) all_22_17 = all_14_8
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_22_17, all_26_4, e21, e23,
% 57.55/8.98 | simplifying with (295), (344) gives:
% 57.55/8.98 | (552) all_26_4 = all_22_17
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with e22, all_26_4, e21, e23, simplifying with
% 57.55/8.98 | (15), (344) gives:
% 57.55/8.98 | (553) all_26_4 = e22
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_14_4, all_22_9, e22, e23, simplifying
% 57.55/8.98 | with (178), (296) gives:
% 57.55/8.98 | (554) all_22_9 = all_14_4
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_22_9, all_26_1, e22, e23, simplifying
% 57.55/8.98 | with (296), (345) gives:
% 57.55/8.98 | (555) all_26_1 = all_22_9
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_1, all_26_1, e22, e23, simplifying
% 57.55/8.98 | with (224), (345) gives:
% 57.55/8.98 | (556) all_26_1 = all_18_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_8_1, all_14_0, e23, e23, simplifying
% 57.55/8.98 | with (42), (179) gives:
% 57.55/8.98 | (557) all_14_0 = all_8_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_14_0, all_18_0, e23, e23, simplifying
% 57.55/8.98 | with (179), (225) gives:
% 57.55/8.98 | (558) all_18_0 = all_14_0
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_18_0, all_22_1, e23, e23, simplifying
% 57.55/8.98 | with (225), (297) gives:
% 57.55/8.98 | (559) all_22_1 = all_18_0
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with all_22_1, all_26_0, e23, e23, simplifying
% 57.55/8.98 | with (297), (346) gives:
% 57.55/8.98 | (560) all_26_0 = all_22_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (27) with e21, all_26_0, e23, e23, simplifying with
% 57.55/8.98 | (16), (346) gives:
% 57.55/8.98 | (561) all_26_0 = e21
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (22) with all_10_1, all_28_153, e11, simplifying
% 57.55/8.98 | with (51), (411) gives:
% 57.55/8.98 | (562) all_28_153 = all_10_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (22) with e20, all_28_145, e13, simplifying with
% 57.55/8.98 | (52), (412) gives:
% 57.55/8.98 | (563) all_28_145 = e20
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (23) with all_4_1, all_28_103, e11, simplifying
% 57.55/8.98 | with (31), (413) gives:
% 57.55/8.98 | (564) all_28_103 = all_4_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (23) with e21, all_28_97, e13, simplifying with
% 57.55/8.98 | (32), (414) gives:
% 57.55/8.98 | (565) all_28_97 = e21
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (24) with all_6_2, all_28_70, e10, simplifying with
% 57.55/8.98 | (37), (415) gives:
% 57.55/8.98 | (566) all_28_70 = all_6_2
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (24) with all_6_1, all_28_67, e11, simplifying with
% 57.55/8.98 | (38), (416) gives:
% 57.55/8.98 | (567) all_28_67 = all_6_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (24) with all_6_0, all_28_64, e12, simplifying with
% 57.55/8.98 | (39), (417) gives:
% 57.55/8.98 | (568) all_28_64 = all_6_0
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (24) with e22, all_28_61, e13, simplifying with
% 57.55/8.98 | (40), (418) gives:
% 57.55/8.98 | (569) all_28_61 = e22
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (25) with all_8_2, all_28_34, e10, simplifying with
% 57.55/8.98 | (45), (435) gives:
% 57.55/8.98 | (570) all_28_34 = all_8_2
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (25) with all_8_1, all_28_31, e11, simplifying with
% 57.55/8.98 | (46), (436) gives:
% 57.55/8.98 | (571) all_28_31 = all_8_1
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (25) with all_8_0, all_28_28, e12, simplifying with
% 57.55/8.98 | (47), (437) gives:
% 57.55/8.98 | (572) all_28_28 = all_8_0
% 57.55/8.98 |
% 57.55/8.98 | GROUND_INST: instantiating (25) with e23, all_28_25, e13, simplifying with
% 57.55/8.98 | (48), (438) gives:
% 57.55/8.98 | (573) all_28_25 = e23
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (504), (505) imply:
% 57.55/8.98 | (574) all_20_1 = all_16_0
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (574) implies:
% 57.55/8.98 | (575) all_20_1 = all_16_0
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (505), (506) imply:
% 57.55/8.98 | (576) all_16_0 = all_12_0
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (499), (501) imply:
% 57.55/8.98 | (577) all_24_1 = all_12_4
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (499), (500) imply:
% 57.55/8.98 | (578) all_24_1 = all_20_9
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (496), (497) imply:
% 57.55/8.98 | (579) all_24_4 = all_16_2
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (579) implies:
% 57.55/8.98 | (580) all_24_4 = all_16_2
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (491), (492) imply:
% 57.55/8.98 | (581) all_24_9 = all_12_12
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (581) implies:
% 57.55/8.98 | (582) all_24_9 = all_12_12
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (487), (488) imply:
% 57.55/8.98 | (583) all_24_2 = e10
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (583) implies:
% 57.55/8.98 | (584) all_24_2 = e10
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (482), (483) imply:
% 57.55/8.98 | (585) all_24_3 = all_20_11
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (585) implies:
% 57.55/8.98 | (586) all_24_3 = all_20_11
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (478), (479) imply:
% 57.55/8.98 | (587) all_24_5 = all_12_9
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (587) implies:
% 57.55/8.98 | (588) all_24_5 = all_12_9
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (474), (475) imply:
% 57.55/8.98 | (589) all_24_10 = all_12_13
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (589) implies:
% 57.55/8.98 | (590) all_24_10 = all_12_13
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (470), (471) imply:
% 57.55/8.98 | (591) all_24_6 = all_16_8
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (591) implies:
% 57.55/8.98 | (592) all_24_6 = all_16_8
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (465), (466) imply:
% 57.55/8.98 | (593) all_24_7 = all_20_13
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (593) implies:
% 57.55/8.98 | (594) all_24_7 = all_20_13
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (466), (467) imply:
% 57.55/8.98 | (595) all_20_13 = all_16_9
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (461), (463) imply:
% 57.55/8.98 | (596) all_24_8 = all_16_10
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (461), (462) imply:
% 57.55/8.98 | (597) all_24_8 = all_20_21
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (457), (459) imply:
% 57.55/8.98 | (598) all_24_11 = all_12_14
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (457), (458) imply:
% 57.55/8.98 | (599) all_24_11 = all_20_29
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (454), (455) imply:
% 57.55/8.98 | (600) all_24_12 = all_12_3
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (600) implies:
% 57.55/8.98 | (601) all_24_12 = all_12_3
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (450), (451) imply:
% 57.55/8.98 | (602) all_24_13 = all_20_15
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (602) implies:
% 57.55/8.98 | (603) all_24_13 = all_20_15
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (446), (447) imply:
% 57.55/8.98 | (604) all_24_14 = all_12_11
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (604) implies:
% 57.55/8.98 | (605) all_24_14 = all_12_11
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (442), (443) imply:
% 57.55/8.98 | (606) all_24_15 = all_20_31
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (606) implies:
% 57.55/8.98 | (607) all_24_15 = all_20_31
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (560), (561) imply:
% 57.55/8.98 | (608) all_22_1 = e21
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (608) implies:
% 57.55/8.98 | (609) all_22_1 = e21
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (555), (556) imply:
% 57.55/8.98 | (610) all_22_9 = all_18_1
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (610) implies:
% 57.55/8.98 | (611) all_22_9 = all_18_1
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (545), (546) imply:
% 57.55/8.98 | (612) all_18_4 = all_14_1
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (612) implies:
% 57.55/8.98 | (613) all_18_4 = all_14_1
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (541), (542) imply:
% 57.55/8.98 | (614) all_18_5 = all_14_5
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (614) implies:
% 57.55/8.98 | (615) all_18_5 = all_14_5
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (552), (553) imply:
% 57.55/8.98 | (616) all_22_17 = e22
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (616) implies:
% 57.55/8.98 | (617) all_22_17 = e22
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (537), (538) imply:
% 57.55/8.98 | (618) all_22_19 = all_18_6
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (618) implies:
% 57.55/8.98 | (619) all_22_19 = all_18_6
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (531), (532) imply:
% 57.55/8.98 | (620) all_22_5 = all_18_8
% 57.55/8.98 |
% 57.55/8.98 | SIMP: (620) implies:
% 57.55/8.98 | (621) all_22_5 = all_18_8
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (527), (528) imply:
% 57.55/8.98 | (622) all_22_13 = all_18_9
% 57.55/8.98 |
% 57.55/8.98 | COMBINE_EQS: (527), (529) imply:
% 57.55/8.99 | (623) all_22_13 = all_14_6
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (524), (526) imply:
% 57.55/8.99 | (624) all_22_21 = all_4_1
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (524), (525) imply:
% 57.55/8.99 | (625) all_22_21 = all_18_10
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (548), (549) imply:
% 57.55/8.99 | (626) all_22_25 = all_18_3
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (626) implies:
% 57.55/8.99 | (627) all_22_25 = all_18_3
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (534), (535) imply:
% 57.55/8.99 | (628) all_22_27 = all_18_7
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (628) implies:
% 57.55/8.99 | (629) all_22_27 = all_18_7
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (520), (521) imply:
% 57.55/8.99 | (630) all_22_29 = all_18_11
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (520), (522) imply:
% 57.55/8.99 | (631) all_22_29 = all_14_14
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (518), (519) imply:
% 57.55/8.99 | (632) all_22_7 = all_14_3
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (632) implies:
% 57.55/8.99 | (633) all_22_7 = all_14_3
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (515), (516) imply:
% 57.55/8.99 | (634) all_22_15 = all_18_13
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (634) implies:
% 57.55/8.99 | (635) all_22_15 = all_18_13
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (512), (513) imply:
% 57.55/8.99 | (636) all_22_23 = all_18_14
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (636) implies:
% 57.55/8.99 | (637) all_22_23 = all_18_14
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (509), (510) imply:
% 57.55/8.99 | (638) all_22_31 = all_14_15
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (638) implies:
% 57.55/8.99 | (639) all_22_31 = all_14_15
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (502), (503) imply:
% 57.55/8.99 | (640) all_20_1 = e11
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (640) implies:
% 57.55/8.99 | (641) all_20_1 = e11
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (577), (578) imply:
% 57.55/8.99 | (642) all_20_9 = all_12_4
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (642) implies:
% 57.55/8.99 | (643) all_20_9 = all_12_4
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (486), (584) imply:
% 57.55/8.99 | (644) all_20_3 = e10
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (644) implies:
% 57.55/8.99 | (645) all_20_3 = e10
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (481), (586) imply:
% 57.55/8.99 | (646) all_20_11 = all_12_5
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (480), (586) imply:
% 57.55/8.99 | (647) all_20_11 = all_16_5
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (495), (580) imply:
% 57.55/8.99 | (648) all_20_17 = all_16_2
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (648) implies:
% 57.55/8.99 | (649) all_20_17 = all_16_2
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (477), (588) imply:
% 57.55/8.99 | (650) all_20_19 = all_12_9
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (650) implies:
% 57.55/8.99 | (651) all_20_19 = all_12_9
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (469), (592) imply:
% 57.55/8.99 | (652) all_20_5 = all_16_8
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (652) implies:
% 57.55/8.99 | (653) all_20_5 = all_16_8
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (464), (594) imply:
% 57.55/8.99 | (654) all_20_13 = all_12_6
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (654) implies:
% 57.55/8.99 | (655) all_20_13 = all_12_6
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (596), (597) imply:
% 57.55/8.99 | (656) all_20_21 = all_16_10
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (656) implies:
% 57.55/8.99 | (657) all_20_21 = all_16_10
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (489), (490) imply:
% 57.55/8.99 | (658) all_20_25 = all_16_3
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (489), (582) imply:
% 57.55/8.99 | (659) all_20_25 = all_12_12
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (472), (473) imply:
% 57.55/8.99 | (660) all_20_27 = all_16_7
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (472), (590) imply:
% 57.55/8.99 | (661) all_20_27 = all_12_13
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (598), (599) imply:
% 57.55/8.99 | (662) all_20_29 = all_12_14
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (662) implies:
% 57.55/8.99 | (663) all_20_29 = all_12_14
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (453), (601) imply:
% 57.55/8.99 | (664) all_20_7 = all_12_3
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (664) implies:
% 57.55/8.99 | (665) all_20_7 = all_12_3
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (449), (603) imply:
% 57.55/8.99 | (666) all_20_15 = all_12_7
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (448), (603) imply:
% 57.55/8.99 | (667) all_20_15 = all_16_13
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (444), (605) imply:
% 57.55/8.99 | (668) all_20_23 = all_12_11
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (444), (445) imply:
% 57.55/8.99 | (669) all_20_23 = all_16_14
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (440), (607) imply:
% 57.55/8.99 | (670) all_20_31 = all_16_15
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (441), (607) imply:
% 57.55/8.99 | (671) all_20_31 = all_12_15
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (559), (609) imply:
% 57.55/8.99 | (672) all_18_0 = e21
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (672) implies:
% 57.55/8.99 | (673) all_18_0 = e21
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (543), (544) imply:
% 57.55/8.99 | (674) all_18_4 = e20
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (674) implies:
% 57.55/8.99 | (675) all_18_4 = e20
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (530), (621) imply:
% 57.55/8.99 | (676) all_18_8 = all_14_2
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (517), (633) imply:
% 57.55/8.99 | (677) all_18_12 = all_14_3
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (677) implies:
% 57.55/8.99 | (678) all_18_12 = all_14_3
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (554), (611) imply:
% 57.55/8.99 | (679) all_18_1 = all_14_4
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (539), (540) imply:
% 57.55/8.99 | (680) all_18_5 = all_6_1
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (680) implies:
% 57.55/8.99 | (681) all_18_5 = all_6_1
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (622), (623) imply:
% 57.55/8.99 | (682) all_18_9 = all_14_6
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (682) implies:
% 57.55/8.99 | (683) all_18_9 = all_14_6
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (514), (635) imply:
% 57.55/8.99 | (684) all_18_13 = all_14_7
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (550), (617) imply:
% 57.55/8.99 | (685) all_18_2 = e22
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (550), (551) imply:
% 57.55/8.99 | (686) all_18_2 = all_14_8
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (536), (619) imply:
% 57.55/8.99 | (687) all_18_6 = all_14_9
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (687) implies:
% 57.55/8.99 | (688) all_18_6 = all_14_9
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (624), (625) imply:
% 57.55/8.99 | (689) all_18_10 = all_4_1
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (689) implies:
% 57.55/8.99 | (690) all_18_10 = all_4_1
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (511), (637) imply:
% 57.55/8.99 | (691) all_18_14 = all_14_11
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (547), (627) imply:
% 57.55/8.99 | (692) all_18_3 = all_14_12
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (692) implies:
% 57.55/8.99 | (693) all_18_3 = all_14_12
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (533), (629) imply:
% 57.55/8.99 | (694) all_18_7 = all_14_13
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (694) implies:
% 57.55/8.99 | (695) all_18_7 = all_14_13
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (630), (631) imply:
% 57.55/8.99 | (696) all_18_11 = all_14_14
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (696) implies:
% 57.55/8.99 | (697) all_18_11 = all_14_14
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (508), (639) imply:
% 57.55/8.99 | (698) all_18_15 = all_14_15
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (698) implies:
% 57.55/8.99 | (699) all_18_15 = all_14_15
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (575), (641) imply:
% 57.55/8.99 | (700) all_16_0 = e11
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (700) implies:
% 57.55/8.99 | (701) all_16_0 = e11
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (485), (645) imply:
% 57.55/8.99 | (702) all_16_4 = e10
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (702) implies:
% 57.55/8.99 | (703) all_16_4 = e10
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (468), (653) imply:
% 57.55/8.99 | (704) all_16_8 = all_12_2
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (452), (665) imply:
% 57.55/8.99 | (705) all_16_12 = all_12_3
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (705) implies:
% 57.55/8.99 | (706) all_16_12 = all_12_3
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (498), (643) imply:
% 57.55/8.99 | (707) all_16_1 = all_12_4
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (707) implies:
% 57.55/8.99 | (708) all_16_1 = all_12_4
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (646), (647) imply:
% 57.55/8.99 | (709) all_16_5 = all_12_5
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (709) implies:
% 57.55/8.99 | (710) all_16_5 = all_12_5
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (595), (655) imply:
% 57.55/8.99 | (711) all_16_9 = all_12_6
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (711) implies:
% 57.55/8.99 | (712) all_16_9 = all_12_6
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (666), (667) imply:
% 57.55/8.99 | (713) all_16_13 = all_12_7
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (713) implies:
% 57.55/8.99 | (714) all_16_13 = all_12_7
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (493), (649) imply:
% 57.55/8.99 | (715) all_16_2 = all_12_8
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (494), (649) imply:
% 57.55/8.99 | (716) all_16_2 = e12
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (476), (651) imply:
% 57.55/8.99 | (717) all_16_6 = all_12_9
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (717) implies:
% 57.55/8.99 | (718) all_16_6 = all_12_9
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (460), (657) imply:
% 57.55/8.99 | (719) all_16_10 = all_12_10
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (719) implies:
% 57.55/8.99 | (720) all_16_10 = all_12_10
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (668), (669) imply:
% 57.55/8.99 | (721) all_16_14 = all_12_11
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (721) implies:
% 57.55/8.99 | (722) all_16_14 = all_12_11
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (658), (659) imply:
% 57.55/8.99 | (723) all_16_3 = all_12_12
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (723) implies:
% 57.55/8.99 | (724) all_16_3 = all_12_12
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (660), (661) imply:
% 57.55/8.99 | (725) all_16_7 = all_12_13
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (725) implies:
% 57.55/8.99 | (726) all_16_7 = all_12_13
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (456), (663) imply:
% 57.55/8.99 | (727) all_16_11 = all_12_14
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (727) implies:
% 57.55/8.99 | (728) all_16_11 = all_12_14
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (670), (671) imply:
% 57.55/8.99 | (729) all_16_15 = all_12_15
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (729) implies:
% 57.55/8.99 | (730) all_16_15 = all_12_15
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (558), (673) imply:
% 57.55/8.99 | (731) all_14_0 = e21
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (731) implies:
% 57.55/8.99 | (732) all_14_0 = e21
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (685), (686) imply:
% 57.55/8.99 | (733) all_14_8 = e22
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (733) implies:
% 57.55/8.99 | (734) all_14_8 = e22
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (613), (675) imply:
% 57.55/8.99 | (735) all_14_1 = e20
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (735) implies:
% 57.55/8.99 | (736) all_14_1 = e20
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (615), (681) imply:
% 57.55/8.99 | (737) all_14_5 = all_6_1
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (737) implies:
% 57.55/8.99 | (738) all_14_5 = all_6_1
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (523), (690) imply:
% 57.55/8.99 | (739) all_14_10 = all_4_1
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (739) implies:
% 57.55/8.99 | (740) all_14_10 = all_4_1
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (507), (699) imply:
% 57.55/8.99 | (741) all_14_15 = all_10_1
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (741) implies:
% 57.55/8.99 | (742) all_14_15 = all_10_1
% 57.55/8.99 |
% 57.55/8.99 | COMBINE_EQS: (576), (701) imply:
% 57.55/8.99 | (743) all_12_0 = e11
% 57.55/8.99 |
% 57.55/8.99 | SIMP: (743) implies:
% 57.55/9.00 | (744) all_12_0 = e11
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (715), (716) imply:
% 57.55/9.00 | (745) all_12_8 = e12
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (745) implies:
% 57.55/9.00 | (746) all_12_8 = e12
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (484), (703) imply:
% 57.55/9.00 | (747) all_12_1 = e10
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (747) implies:
% 57.55/9.00 | (748) all_12_1 = e10
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (557), (732) imply:
% 57.55/9.00 | (749) all_8_1 = e21
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (749) implies:
% 57.55/9.00 | (750) all_8_1 = e21
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (639), (742) imply:
% 57.55/9.00 | (751) all_22_31 = all_10_1
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (596), (720) imply:
% 57.55/9.00 | (752) all_24_8 = all_12_10
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (592), (704) imply:
% 57.55/9.00 | (753) all_24_6 = all_12_2
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (580), (716) imply:
% 57.55/9.00 | (754) all_24_4 = e12
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (510), (742) imply:
% 57.55/9.00 | (755) all_26_15 = all_10_1
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (513), (691) imply:
% 57.55/9.00 | (756) all_26_14 = all_14_11
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (516), (684) imply:
% 57.55/9.00 | (757) all_26_13 = all_14_7
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (535), (695) imply:
% 57.55/9.00 | (758) all_26_10 = all_14_13
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (549), (693) imply:
% 57.55/9.00 | (759) all_26_9 = all_14_12
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (532), (676) imply:
% 57.55/9.00 | (760) all_26_6 = all_14_2
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (538), (688) imply:
% 57.55/9.00 | (761) all_26_5 = all_14_9
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (542), (738) imply:
% 57.55/9.00 | (762) all_26_3 = all_6_1
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (546), (736) imply:
% 57.55/9.00 | (763) all_26_2 = e20
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (556), (679) imply:
% 57.55/9.00 | (764) all_26_1 = all_14_4
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (443), (671) imply:
% 57.55/9.00 | (765) all_28_159 = all_12_15
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (451), (666) imply:
% 57.55/9.00 | (766) all_28_151 = all_12_7
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (461), (752) imply:
% 57.55/9.00 | (767) all_28_140 = all_12_10
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (466), (655) imply:
% 57.55/9.00 | (768) all_28_137 = all_12_6
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (471), (704) imply:
% 57.55/9.00 | (769) all_28_134 = all_12_2
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (483), (646) imply:
% 57.55/9.00 | (770) all_28_125 = all_12_5
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (497), (716) imply:
% 57.55/9.00 | (771) all_28_116 = e12
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (505), (701) imply:
% 57.55/9.00 | (772) all_28_110 = e11
% 57.55/9.00 |
% 57.55/9.00 | COMBINE_EQS: (571), (750) imply:
% 57.55/9.00 | (773) all_28_31 = e21
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (163), (732) imply:
% 57.55/9.00 | (774) ~ (all_14_2 = e21)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (774) implies:
% 57.55/9.00 | (775) ~ (all_14_2 = e21)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (162), (732) imply:
% 57.55/9.00 | (776) ~ (all_14_3 = e21)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (776) implies:
% 57.55/9.00 | (777) ~ (all_14_3 = e21)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (161), (732) imply:
% 57.55/9.00 | (778) ~ (all_14_4 = e21)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (778) implies:
% 57.55/9.00 | (779) ~ (all_14_4 = e21)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (160), (732), (734) imply:
% 57.55/9.00 | (780) ~ (e22 = e21)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (780) implies:
% 57.55/9.00 | (781) ~ (e22 = e21)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (159), (732) imply:
% 57.55/9.00 | (782) ~ (all_14_12 = e21)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (782) implies:
% 57.55/9.00 | (783) ~ (all_14_12 = e21)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (158), (736) imply:
% 57.55/9.00 | (784) ~ (all_14_2 = e20)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (784) implies:
% 57.55/9.00 | (785) ~ (all_14_2 = e20)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (157), (736) imply:
% 57.55/9.00 | (786) ~ (all_14_3 = e20)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (786) implies:
% 57.55/9.00 | (787) ~ (all_14_3 = e20)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (156), (736), (738) imply:
% 57.55/9.00 | (788) ~ (all_6_1 = e20)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (788) implies:
% 57.55/9.00 | (789) ~ (all_6_1 = e20)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (155), (736) imply:
% 57.55/9.00 | (790) ~ (all_14_9 = e20)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (790) implies:
% 57.55/9.00 | (791) ~ (all_14_9 = e20)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (154), (736) imply:
% 57.55/9.00 | (792) ~ (all_14_13 = e20)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (792) implies:
% 57.55/9.00 | (793) ~ (all_14_13 = e20)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (151), (740) imply:
% 57.55/9.00 | (794) ~ (all_14_2 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (147), (742) imply:
% 57.55/9.00 | (795) ~ (all_14_3 = all_10_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (146), (738) imply:
% 57.55/9.00 | (796) ~ (all_14_4 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (143), (734) imply:
% 57.55/9.00 | (797) ~ (all_14_4 = e22)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (141), (738) imply:
% 57.55/9.00 | (798) ~ (all_14_6 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (798) implies:
% 57.55/9.00 | (799) ~ (all_14_6 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (140), (738) imply:
% 57.55/9.00 | (800) ~ (all_14_7 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (800) implies:
% 57.55/9.00 | (801) ~ (all_14_7 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (139), (738) imply:
% 57.55/9.00 | (802) ~ (all_14_9 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (802) implies:
% 57.55/9.00 | (803) ~ (all_14_9 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (138), (738) imply:
% 57.55/9.00 | (804) ~ (all_14_13 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (804) implies:
% 57.55/9.00 | (805) ~ (all_14_13 = all_6_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (136), (740) imply:
% 57.55/9.00 | (806) ~ (all_14_6 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (133), (742) imply:
% 57.55/9.00 | (807) ~ (all_14_7 = all_10_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (132), (734) imply:
% 57.55/9.00 | (808) ~ (all_14_9 = e22)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (808) implies:
% 57.55/9.00 | (809) ~ (all_14_9 = e22)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (131), (734), (740) imply:
% 57.55/9.00 | (810) ~ (all_4_1 = e22)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (810) implies:
% 57.55/9.00 | (811) ~ (all_4_1 = e22)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (130), (734) imply:
% 57.55/9.00 | (812) ~ (all_14_11 = e22)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (812) implies:
% 57.55/9.00 | (813) ~ (all_14_11 = e22)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (129), (734) imply:
% 57.55/9.00 | (814) ~ (all_14_12 = e22)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (814) implies:
% 57.55/9.00 | (815) ~ (all_14_12 = e22)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (128), (740) imply:
% 57.55/9.00 | (816) ~ (all_14_9 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (125), (740) imply:
% 57.55/9.00 | (817) ~ (all_14_11 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (817) implies:
% 57.55/9.00 | (818) ~ (all_14_11 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (124), (740) imply:
% 57.55/9.00 | (819) ~ (all_14_14 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (819) implies:
% 57.55/9.00 | (820) ~ (all_14_14 = all_4_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (123), (742) imply:
% 57.55/9.00 | (821) ~ (all_14_11 = all_10_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (120), (742) imply:
% 57.55/9.00 | (822) ~ (all_14_12 = all_10_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (118), (742) imply:
% 57.55/9.00 | (823) ~ (all_14_13 = all_10_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (117), (742) imply:
% 57.55/9.00 | (824) ~ (all_14_14 = all_10_1)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (99), (744) imply:
% 57.55/9.00 | (825) ~ (all_12_2 = e11)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (825) implies:
% 57.55/9.00 | (826) ~ (all_12_2 = e11)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (98), (744) imply:
% 57.55/9.00 | (827) ~ (all_12_3 = e11)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (827) implies:
% 57.55/9.00 | (828) ~ (all_12_3 = e11)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (97), (744) imply:
% 57.55/9.00 | (829) ~ (all_12_4 = e11)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (829) implies:
% 57.55/9.00 | (830) ~ (all_12_4 = e11)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (96), (744) imply:
% 57.55/9.00 | (831) ~ (all_12_12 = e11)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (831) implies:
% 57.55/9.00 | (832) ~ (all_12_12 = e11)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (95), (748) imply:
% 57.55/9.00 | (833) ~ (all_12_2 = e10)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (833) implies:
% 57.55/9.00 | (834) ~ (all_12_2 = e10)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (94), (748) imply:
% 57.55/9.00 | (835) ~ (all_12_3 = e10)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (835) implies:
% 57.55/9.00 | (836) ~ (all_12_3 = e10)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (93), (748) imply:
% 57.55/9.00 | (837) ~ (all_12_5 = e10)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (837) implies:
% 57.55/9.00 | (838) ~ (all_12_5 = e10)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (92), (748) imply:
% 57.55/9.00 | (839) ~ (all_12_9 = e10)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (839) implies:
% 57.55/9.00 | (840) ~ (all_12_9 = e10)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (91), (748) imply:
% 57.55/9.00 | (841) ~ (all_12_13 = e10)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (841) implies:
% 57.55/9.00 | (842) ~ (all_12_13 = e10)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (80), (746) imply:
% 57.55/9.00 | (843) ~ (all_12_4 = e12)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (69), (746) imply:
% 57.55/9.00 | (844) ~ (all_12_9 = e12)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (844) implies:
% 57.55/9.00 | (845) ~ (all_12_9 = e12)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (68), (746) imply:
% 57.55/9.00 | (846) ~ (all_12_10 = e12)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (846) implies:
% 57.55/9.00 | (847) ~ (all_12_10 = e12)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (67), (746) imply:
% 57.55/9.00 | (848) ~ (all_12_11 = e12)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (848) implies:
% 57.55/9.00 | (849) ~ (all_12_11 = e12)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (66), (746) imply:
% 57.55/9.00 | (850) ~ (all_12_12 = e12)
% 57.55/9.00 |
% 57.55/9.00 | SIMP: (850) implies:
% 57.55/9.00 | (851) ~ (all_12_12 = e12)
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (434), (772) imply:
% 57.55/9.00 | (852) h3(e11) = all_28_37
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (433), (501) imply:
% 57.55/9.00 | (853) h3(all_12_4) = all_28_39
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (432), (771) imply:
% 57.55/9.00 | (854) h3(e12) = all_28_41
% 57.55/9.00 |
% 57.55/9.00 | REDUCE: (431), (492) imply:
% 57.55/9.00 | (855) h3(all_12_12) = all_28_43
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (430), (488) imply:
% 57.55/9.01 | (856) h3(e10) = all_28_45
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (429), (770) imply:
% 57.55/9.01 | (857) h3(all_12_5) = all_28_47
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (428), (479) imply:
% 57.55/9.01 | (858) h3(all_12_9) = all_28_49
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (427), (475) imply:
% 57.55/9.01 | (859) h3(all_12_13) = all_28_51
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (426), (769) imply:
% 57.55/9.01 | (860) h3(all_12_2) = all_28_53
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (425), (768) imply:
% 57.55/9.01 | (861) h3(all_12_6) = all_28_55
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (424), (767) imply:
% 57.55/9.01 | (862) h3(all_12_10) = all_28_57
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (423), (459) imply:
% 57.55/9.01 | (863) h3(all_12_14) = all_28_59
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (422), (455) imply:
% 57.55/9.01 | (864) h3(all_12_3) = all_28_62
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (421), (766) imply:
% 57.55/9.01 | (865) h3(all_12_7) = all_28_65
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (420), (447) imply:
% 57.55/9.01 | (866) h3(all_12_11) = all_28_68
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (419), (765) imply:
% 57.55/9.01 | (867) h3(all_12_15) = all_28_71
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (410), (573) imply:
% 57.55/9.01 | (868) op2(e23, e23) = all_28_0
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (409), (572), (573) imply:
% 57.55/9.01 | (869) op2(e23, all_8_0) = all_28_2
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (408), (573), (773) imply:
% 57.55/9.01 | (870) op2(e23, e21) = all_28_4
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (407), (570), (573) imply:
% 57.55/9.01 | (871) op2(e23, all_8_2) = all_28_6
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (406), (572), (773) imply:
% 57.55/9.01 | (872) op2(all_8_0, e21) = all_28_12
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (405), (570), (572) imply:
% 57.55/9.01 | (873) op2(all_8_0, all_8_2) = all_28_14
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (404), (573), (773) imply:
% 57.55/9.01 | (874) op2(e21, e23) = all_28_16
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (403), (572), (773) imply:
% 57.55/9.01 | (875) op2(e21, all_8_0) = all_28_18
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (402), (773) imply:
% 57.55/9.01 | (876) op2(e21, e21) = all_28_20
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (401), (570), (773) imply:
% 57.55/9.01 | (877) op2(e21, all_8_2) = all_28_22
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (400), (570), (573) imply:
% 57.55/9.01 | (878) op2(all_8_2, e23) = all_28_24
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (399), (570), (572) imply:
% 57.55/9.01 | (879) op2(all_8_2, all_8_0) = all_28_27
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (398), (570), (773) imply:
% 57.55/9.01 | (880) op2(all_8_2, e21) = all_28_30
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (397), (570) imply:
% 57.55/9.01 | (881) op2(all_8_2, all_8_2) = all_28_33
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (396), (569) imply:
% 57.55/9.01 | (882) op2(e22, e22) = all_28_36
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (395), (568), (569) imply:
% 57.55/9.01 | (883) op2(e22, all_6_0) = all_28_38
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (394), (567), (569) imply:
% 57.55/9.01 | (884) op2(e22, all_6_1) = all_28_40
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (393), (566), (569) imply:
% 57.55/9.01 | (885) op2(e22, all_6_2) = all_28_42
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (392), (568), (569) imply:
% 57.55/9.01 | (886) op2(all_6_0, e22) = all_28_44
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (391), (568) imply:
% 57.55/9.01 | (887) op2(all_6_0, all_6_0) = all_28_46
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (390), (567), (568) imply:
% 57.55/9.01 | (888) op2(all_6_0, all_6_1) = all_28_48
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (389), (566), (568) imply:
% 57.55/9.01 | (889) op2(all_6_0, all_6_2) = all_28_50
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (388), (567), (569) imply:
% 57.55/9.01 | (890) op2(all_6_1, e22) = all_28_52
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (387), (567), (568) imply:
% 57.55/9.01 | (891) op2(all_6_1, all_6_0) = all_28_54
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (386), (567) imply:
% 57.55/9.01 | (892) op2(all_6_1, all_6_1) = all_28_56
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (385), (566), (567) imply:
% 57.55/9.01 | (893) op2(all_6_1, all_6_2) = all_28_58
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (384), (566), (569) imply:
% 57.55/9.01 | (894) op2(all_6_2, e22) = all_28_60
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (383), (566), (568) imply:
% 57.55/9.01 | (895) op2(all_6_2, all_6_0) = all_28_63
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (382), (566), (567) imply:
% 57.55/9.01 | (896) op2(all_6_2, all_6_1) = all_28_66
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (381), (566) imply:
% 57.55/9.01 | (897) op2(all_6_2, all_6_2) = all_28_69
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (380), (565) imply:
% 57.55/9.01 | (898) op2(e21, e21) = all_28_72
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (379), (564), (565) imply:
% 57.55/9.01 | (899) op2(e21, all_4_1) = all_28_76
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (378), (563) imply:
% 57.55/9.01 | (900) op2(e20, e20) = all_28_108
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (377), (562), (563) imply:
% 57.55/9.01 | (901) op2(all_10_1, e20) = all_28_132
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (301), (609) imply:
% 57.55/9.01 | (902) op2(e23, e21) = all_22_0
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (300), (554) imply:
% 57.55/9.01 | (903) op2(e23, all_14_4) = all_22_8
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (299), (617) imply:
% 57.55/9.01 | (904) op2(e23, e22) = all_22_16
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (298), (547) imply:
% 57.55/9.01 | (905) op2(e23, all_14_12) = all_22_24
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (43), (750) imply:
% 57.55/9.01 | (906) op2(e23, e21) = all_8_0
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (293), (544) imply:
% 57.55/9.01 | (907) op2(e22, e20) = all_22_2
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (292), (540) imply:
% 57.55/9.01 | (908) op2(e22, all_6_1) = all_22_10
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (291), (536) imply:
% 57.55/9.01 | (909) op2(e22, all_14_9) = all_22_18
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (286), (530) imply:
% 57.55/9.01 | (910) op2(e21, all_14_2) = all_22_4
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (285), (623) imply:
% 57.55/9.01 | (911) op2(e21, all_14_6) = all_22_12
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (284), (624) imply:
% 57.55/9.01 | (912) op2(e21, all_4_1) = all_22_20
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (279), (633) imply:
% 57.55/9.01 | (913) op2(e20, all_14_3) = all_22_6
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (278), (514) imply:
% 57.55/9.01 | (914) op2(e20, all_14_7) = all_22_14
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (277), (511) imply:
% 57.55/9.01 | (915) op2(e20, all_14_11) = all_22_22
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (267), (641) imply:
% 57.55/9.01 | (916) op1(e13, e11) = all_20_0
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (266), (643) imply:
% 57.55/9.01 | (917) op1(e13, all_12_4) = all_20_8
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (265), (494) imply:
% 57.55/9.01 | (918) op1(e13, e12) = all_20_16
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (260), (645) imply:
% 57.55/9.01 | (919) op1(e12, e10) = all_20_2
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (259), (646) imply:
% 57.55/9.01 | (920) op1(e12, all_12_5) = all_20_10
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (258), (651) imply:
% 57.55/9.01 | (921) op1(e12, all_12_9) = all_20_18
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (253), (468) imply:
% 57.55/9.01 | (922) op1(e11, all_12_2) = all_20_4
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (252), (655) imply:
% 57.55/9.01 | (923) op1(e11, all_12_6) = all_20_12
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (251), (460) imply:
% 57.55/9.01 | (924) op1(e11, all_12_10) = all_20_20
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (246), (665) imply:
% 57.55/9.01 | (925) op1(e10, all_12_3) = all_20_6
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (245), (666) imply:
% 57.55/9.01 | (926) op1(e10, all_12_7) = all_20_14
% 57.55/9.01 |
% 57.55/9.01 | REDUCE: (244), (668) imply:
% 57.55/9.01 | (927) op1(e10, all_12_11) = all_20_22
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (26) with all_12_13, all_20_2, e10, e12,
% 57.55/9.01 | simplifying with (108), (919) gives:
% 57.55/9.01 | (928) all_20_2 = all_12_13
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (26) with e12, all_20_0, e11, e13, simplifying with
% 57.55/9.01 | (12), (916) gives:
% 57.55/9.01 | (929) all_20_0 = e12
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (26) with all_12_4, all_20_16, e12, e13,
% 57.55/9.01 | simplifying with (114), (918) gives:
% 57.55/9.01 | (930) all_20_16 = all_12_4
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_10_1, all_28_108, e20, e20,
% 57.55/9.01 | simplifying with (50), (900) gives:
% 57.55/9.01 | (931) all_28_108 = all_10_1
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_4_1, all_28_20, e21, e21, simplifying
% 57.55/9.01 | with (29), (876) gives:
% 57.55/9.01 | (932) all_28_20 = all_4_1
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_28_72, all_28_20, e21, e21,
% 57.55/9.01 | simplifying with (876), (898) gives:
% 57.55/9.01 | (933) all_28_20 = all_28_72
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_14_2, all_28_16, e23, e21,
% 57.55/9.01 | simplifying with (171), (874) gives:
% 57.55/9.01 | (934) all_28_16 = all_14_2
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_4_0, all_28_76, all_4_1, e21,
% 57.55/9.01 | simplifying with (30), (899) gives:
% 57.55/9.01 | (935) all_28_76 = all_4_0
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_22_20, all_28_76, all_4_1, e21,
% 57.55/9.01 | simplifying with (899), (912) gives:
% 57.55/9.01 | (936) all_28_76 = all_22_20
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_14_13, all_22_2, e20, e22,
% 57.55/9.01 | simplifying with (172), (907) gives:
% 57.55/9.01 | (937) all_22_2 = all_14_13
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_6_1, all_28_36, e22, e22, simplifying
% 57.55/9.01 | with (34), (882) gives:
% 57.55/9.01 | (938) all_28_36 = all_6_1
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_6_0, all_28_40, all_6_1, e22,
% 57.55/9.01 | simplifying with (35), (884) gives:
% 57.55/9.01 | (939) all_28_40 = all_6_0
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_22_10, all_28_40, all_6_1, e22,
% 57.55/9.01 | simplifying with (884), (908) gives:
% 57.55/9.01 | (940) all_28_40 = all_22_10
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with e22, all_22_0, e21, e23, simplifying with
% 57.55/9.01 | (15), (902) gives:
% 57.55/9.01 | (941) all_22_0 = e22
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_22_0, all_28_4, e21, e23, simplifying
% 57.55/9.01 | with (870), (902) gives:
% 57.55/9.01 | (942) all_28_4 = all_22_0
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_8_0, all_28_4, e21, e23, simplifying
% 57.55/9.01 | with (870), (906) gives:
% 57.55/9.01 | (943) all_28_4 = all_8_0
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_14_4, all_22_16, e22, e23,
% 57.55/9.01 | simplifying with (178), (904) gives:
% 57.55/9.01 | (944) all_22_16 = all_14_4
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with e21, all_28_0, e23, e23, simplifying with
% 57.55/9.01 | (16), (868) gives:
% 57.55/9.01 | (945) all_28_0 = e21
% 57.55/9.01 |
% 57.55/9.01 | GROUND_INST: instantiating (27) with all_6_2, all_28_44, e22, all_6_0,
% 57.55/9.01 | simplifying with (36), (886) gives:
% 57.55/9.01 | (946) all_28_44 = all_6_2
% 57.55/9.01 |
% 57.55/9.02 | GROUND_INST: instantiating (24) with all_6_2, all_28_45, e10, simplifying with
% 57.55/9.02 | (37), (856) gives:
% 57.55/9.02 | (947) all_28_45 = all_6_2
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (24) with all_6_1, all_28_37, e11, simplifying with
% 57.55/9.02 | (38), (852) gives:
% 57.55/9.02 | (948) all_28_37 = all_6_1
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (24) with all_6_0, all_28_41, e12, simplifying with
% 57.55/9.02 | (39), (854) gives:
% 57.55/9.02 | (949) all_28_41 = all_6_0
% 57.55/9.02 |
% 57.55/9.02 | COMBINE_EQS: (942), (943) imply:
% 57.55/9.02 | (950) all_22_0 = all_8_0
% 57.55/9.02 |
% 57.55/9.02 | SIMP: (950) implies:
% 57.55/9.02 | (951) all_22_0 = all_8_0
% 57.55/9.02 |
% 57.55/9.02 | COMBINE_EQS: (932), (933) imply:
% 57.55/9.02 | (952) all_28_72 = all_4_1
% 57.55/9.02 |
% 57.55/9.02 | COMBINE_EQS: (939), (940) imply:
% 57.55/9.02 | (953) all_22_10 = all_6_0
% 57.55/9.02 |
% 57.55/9.02 | SIMP: (953) implies:
% 57.55/9.02 | (954) all_22_10 = all_6_0
% 57.55/9.02 |
% 57.55/9.02 | COMBINE_EQS: (935), (936) imply:
% 57.55/9.02 | (955) all_22_20 = all_4_0
% 57.55/9.02 |
% 57.55/9.02 | COMBINE_EQS: (941), (951) imply:
% 57.55/9.02 | (956) all_8_0 = e22
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (873), (956) imply:
% 57.55/9.02 | (957) op2(e22, all_8_2) = all_28_14
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (44), (956) imply:
% 57.55/9.02 | (958) op2(e22, e23) = all_8_2
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (872), (956) imply:
% 57.55/9.02 | (959) op2(e22, e21) = all_28_12
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (879), (956) imply:
% 57.55/9.02 | (960) op2(all_8_2, e22) = all_28_27
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (869), (956) imply:
% 57.55/9.02 | (961) op2(e23, e22) = all_28_2
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (875), (956) imply:
% 57.55/9.02 | (962) op2(e21, e22) = all_28_18
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_6, all_28_18, e22, e21,
% 57.55/9.02 | simplifying with (170), (962) gives:
% 57.55/9.02 | (963) all_28_18 = all_14_6
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_9, all_28_12, e21, e22,
% 57.55/9.02 | simplifying with (173), (959) gives:
% 57.55/9.02 | (964) all_28_12 = all_14_9
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with e20, all_8_2, e23, e22, simplifying with
% 57.55/9.02 | (14), (958) gives:
% 57.55/9.02 | (965) all_8_2 = e20
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_4, all_28_2, e22, e23, simplifying
% 57.55/9.02 | with (178), (961) gives:
% 57.55/9.02 | (966) all_28_2 = all_14_4
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (881), (965) imply:
% 57.55/9.02 | (967) op2(e20, e20) = all_28_33
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (878), (965) imply:
% 57.55/9.02 | (968) op2(e20, e23) = all_28_24
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (960), (965) imply:
% 57.55/9.02 | (969) op2(e20, e22) = all_28_27
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (880), (965) imply:
% 57.55/9.02 | (970) op2(e20, e21) = all_28_30
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (871), (965) imply:
% 57.55/9.02 | (971) op2(e23, e20) = all_28_6
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (957), (965) imply:
% 57.55/9.02 | (972) op2(e22, e20) = all_28_14
% 57.55/9.02 |
% 57.55/9.02 | REDUCE: (877), (965) imply:
% 57.55/9.02 | (973) op2(e21, e20) = all_28_22
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_10_1, all_28_33, e20, e20,
% 57.55/9.02 | simplifying with (50), (967) gives:
% 57.55/9.02 | (974) all_28_33 = all_10_1
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_11, all_28_30, e21, e20,
% 57.55/9.02 | simplifying with (165), (970) gives:
% 57.55/9.02 | (975) all_28_30 = all_14_11
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_7, all_28_27, e22, e20,
% 57.55/9.02 | simplifying with (166), (969) gives:
% 57.55/9.02 | (976) all_28_27 = all_14_7
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_3, all_28_24, e23, e20,
% 57.55/9.02 | simplifying with (167), (968) gives:
% 57.55/9.02 | (977) all_28_24 = all_14_3
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_14, all_28_22, e20, e21,
% 57.55/9.02 | simplifying with (168), (973) gives:
% 57.55/9.02 | (978) all_28_22 = all_14_14
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_13, all_28_14, e20, e22,
% 57.55/9.02 | simplifying with (172), (972) gives:
% 57.55/9.02 | (979) all_28_14 = all_14_13
% 57.55/9.02 |
% 57.55/9.02 | GROUND_INST: instantiating (27) with all_14_12, all_28_6, e20, e23,
% 57.55/9.02 | simplifying with (176), (971) gives:
% 57.55/9.02 | (980) all_28_6 = all_14_12
% 57.55/9.02 |
% 57.55/9.02 | BETA: splitting (205) gives:
% 57.55/9.02 |
% 57.55/9.02 | Case 1:
% 57.55/9.02 | |
% 57.55/9.02 | | (981) all_16_6 = e13
% 57.55/9.02 | |
% 57.55/9.02 | | COMBINE_EQS: (718), (981) imply:
% 57.55/9.02 | | (982) all_12_9 = e13
% 57.55/9.02 | |
% 57.55/9.02 | | SIMP: (982) implies:
% 57.55/9.02 | | (983) all_12_9 = e13
% 57.55/9.02 | |
% 57.55/9.02 | | COMBINE_EQS: (651), (983) imply:
% 57.55/9.02 | | (984) all_20_19 = e13
% 57.55/9.02 | |
% 57.55/9.02 | | REDUCE: (76), (983) imply:
% 57.55/9.02 | | (985) ~ (all_12_5 = e13)
% 57.55/9.02 | |
% 57.55/9.02 | | REDUCE: (65), (983) imply:
% 57.55/9.02 | | (986) ~ (all_12_10 = e13)
% 57.55/9.02 | |
% 57.55/9.02 | | SIMP: (986) implies:
% 57.55/9.02 | | (987) ~ (all_12_10 = e13)
% 57.55/9.02 | |
% 57.55/9.02 | | REDUCE: (858), (983) imply:
% 57.55/9.02 | | (988) h3(e13) = all_28_49
% 57.55/9.02 | |
% 57.55/9.02 | | REDUCE: (109), (983) imply:
% 57.55/9.02 | | (989) op1(e12, e11) = e13
% 57.55/9.02 | |
% 57.55/9.02 | | GROUND_INST: instantiating (24) with e22, all_28_49, e13, simplifying with
% 57.55/9.02 | | (40), (988) gives:
% 57.55/9.02 | | (990) all_28_49 = e22
% 57.55/9.02 | |
% 57.55/9.02 | | BETA: splitting (203) gives:
% 57.55/9.02 | |
% 57.55/9.02 | | Case 1:
% 57.55/9.02 | | |
% 57.55/9.02 | | | (991) all_16_8 = e13
% 57.55/9.02 | | |
% 57.55/9.02 | | | COMBINE_EQS: (704), (991) imply:
% 57.55/9.02 | | | (992) all_12_2 = e13
% 57.55/9.02 | | |
% 57.55/9.02 | | | REDUCE: (90), (992) imply:
% 57.55/9.02 | | | (993) ~ (all_12_3 = e13)
% 57.55/9.02 | | |
% 57.55/9.02 | | | SIMP: (993) implies:
% 57.55/9.02 | | | (994) ~ (all_12_3 = e13)
% 57.55/9.02 | | |
% 57.55/9.02 | | | REDUCE: (826), (992) imply:
% 57.55/9.02 | | | (995) ~ (e13 = e11)
% 57.55/9.02 | | |
% 57.55/9.02 | | | REDUCE: (834), (992) imply:
% 57.55/9.02 | | | (996) ~ (e13 = e10)
% 57.55/9.02 | | |
% 57.55/9.02 | | | BETA: splitting (200) gives:
% 57.55/9.02 | | |
% 57.55/9.02 | | | Case 1:
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | (997) all_16_12 = e13
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | COMBINE_EQS: (706), (997) imply:
% 57.55/9.02 | | | | (998) all_12_3 = e13
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | REDUCE: (994), (998) imply:
% 57.55/9.02 | | | | (999) $false
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | CLOSE: (999) is inconsistent.
% 57.55/9.02 | | | |
% 57.55/9.02 | | | Case 2:
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | (1000) ~ (all_16_12 = e13)
% 57.55/9.02 | | | | (1001) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | BETA: splitting (1001) gives:
% 57.55/9.02 | | | |
% 57.55/9.02 | | | | Case 1:
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | (1002) all_16_12 = e12
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | COMBINE_EQS: (706), (1002) imply:
% 57.55/9.02 | | | | | (1003) all_12_3 = e12
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | COMBINE_EQS: (665), (1003) imply:
% 57.55/9.02 | | | | | (1004) all_20_7 = e12
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | REDUCE: (86), (1003) imply:
% 57.55/9.02 | | | | | (1005) ~ (all_12_7 = e12)
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | SIMP: (1005) implies:
% 57.55/9.02 | | | | | (1006) ~ (all_12_7 = e12)
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | REDUCE: (994), (1003) imply:
% 57.55/9.02 | | | | | (1007) ~ (e13 = e12)
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | SIMP: (1007) implies:
% 57.55/9.02 | | | | | (1008) ~ (e13 = e12)
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | REDUCE: (828), (1003) imply:
% 57.55/9.02 | | | | | (1009) ~ (e12 = e11)
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | REDUCE: (836), (1003) imply:
% 57.55/9.02 | | | | | (1010) ~ (e12 = e10)
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | BETA: splitting (268) gives:
% 57.55/9.02 | | | | |
% 57.55/9.02 | | | | | Case 1:
% 57.55/9.02 | | | | | |
% 57.55/9.02 | | | | | | (1011) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) &
% 57.55/9.02 | | | | | | ~ (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 57.55/9.02 | | | | | | (all_20_31 = e12)) | (all_20_3 = e12 & all_20_9 = e12 &
% 57.55/9.02 | | | | | | ~ (all_20_1 = e13) & ~ (all_20_11 = e13) & ~
% 57.55/9.02 | | | | | | (all_20_21 = e13) & ~ (all_20_31 = e13)) | (all_20_5 =
% 57.55/9.02 | | | | | | e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 57.55/9.02 | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31
% 57.55/9.02 | | | | | | = e11)) | (all_20_5 = e11 & all_20_17 = e11 & ~
% 57.55/9.02 | | | | | | (all_20_1 = e13) & ~ (all_20_11 = e13) & ~ (all_20_21
% 57.55/9.02 | | | | | | = e13) & ~ (all_20_31 = e13)) | (all_20_7 = e13 &
% 57.55/9.02 | | | | | | all_20_25 = e13 & ~ (all_20_1 = e10) & ~ (all_20_11 =
% 57.55/9.02 | | | | | | e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 57.55/9.02 | | | | | | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) &
% 57.55/9.02 | | | | | | ~ (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 57.55/9.02 | | | | | | (all_20_31 = e13))
% 57.55/9.02 | | | | | |
% 57.55/9.02 | | | | | | REF_CLOSE: (494), (645), (996), (1004), (1008), (1009), (1010),
% 57.55/9.02 | | | | | | (1011) are inconsistent by sub-proof #38.
% 57.55/9.02 | | | | | |
% 57.55/9.02 | | | | | Case 2:
% 57.55/9.02 | | | | | |
% 57.55/9.03 | | | | | | (1012) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) &
% 57.55/9.03 | | | | | | ~ (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 57.55/9.03 | | | | | | (all_20_31 = e11)) | (all_20_13 = e11 & all_20_19 = e11
% 57.55/9.03 | | | | | | & ~ (all_20_1 = e12) & ~ (all_20_11 = e12) & ~
% 57.55/9.03 | | | | | | (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_15 =
% 57.55/9.03 | | | | | | e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 57.55/9.03 | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31
% 57.55/9.03 | | | | | | = e10)) | (all_20_15 = e10 & all_20_27 = e10 & ~
% 57.55/9.03 | | | | | | (all_20_1 = e12) & ~ (all_20_11 = e12) & ~ (all_20_21
% 57.55/9.03 | | | | | | = e12) & ~ (all_20_31 = e12)) | (all_20_23 = e11 &
% 57.55/9.03 | | | | | | all_20_29 = e11 & ~ (all_20_1 = e10) & ~ (all_20_11 =
% 57.55/9.03 | | | | | | e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 57.55/9.03 | | | | | | (all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 = e11) &
% 57.55/9.03 | | | | | | ~ (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 57.55/9.03 | | | | | | (all_20_31 = e11))
% 57.55/9.03 | | | | | |
% 57.55/9.03 | | | | | | BETA: splitting (1012) gives:
% 57.55/9.03 | | | | | |
% 57.55/9.03 | | | | | | Case 1:
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | | (1013) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11)
% 57.55/9.03 | | | | | | | & ~ (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 57.55/9.03 | | | | | | | (all_20_31 = e11)) | (all_20_13 = e11 & all_20_19 =
% 57.55/9.03 | | | | | | | e11 & ~ (all_20_1 = e12) & ~ (all_20_11 = e12) & ~
% 57.55/9.03 | | | | | | | (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_15
% 57.55/9.03 | | | | | | | = e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 57.55/9.03 | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 57.55/9.03 | | | | | | | (all_20_31 = e10))
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | | BETA: splitting (1013) gives:
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | | Case 1:
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | (1014) all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11) &
% 57.55/9.03 | | | | | | | | ~ (all_20_31 = e11)
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | REF_CLOSE: (984), (1008), (1014) are inconsistent by sub-proof
% 57.55/9.03 | | | | | | | | #37.
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | Case 2:
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | (1015) (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 = e12)
% 57.55/9.03 | | | | | | | | & ~ (all_20_31 = e12)) | (all_20_15 = e12 &
% 57.55/9.03 | | | | | | | | all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 57.55/9.03 | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 57.55/9.03 | | | | | | | | (all_20_31 = e10))
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | BETA: splitting (1015) gives:
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | Case 1:
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | (1016) all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 = e12)
% 57.55/9.03 | | | | | | | | | & ~ (all_20_31 = e12)
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | REF_CLOSE: (984), (995), (1016) are inconsistent by sub-proof
% 57.55/9.03 | | | | | | | | | #36.
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | Case 2:
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | (1017) all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10)
% 57.55/9.03 | | | | | | | | | & ~ (all_20_31 = e10)
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | REF_CLOSE: (666), (1006), (1017) are inconsistent by sub-proof
% 57.55/9.03 | | | | | | | | | #35.
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | End of split
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | End of split
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | Case 2:
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | | (1018) (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12)
% 57.55/9.03 | | | | | | | & ~ (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 57.55/9.03 | | | | | | | (all_20_31 = e12)) | (all_20_23 = e11 & all_20_29 =
% 57.55/9.03 | | | | | | | e11 & ~ (all_20_1 = e10) & ~ (all_20_11 = e10) & ~
% 57.55/9.03 | | | | | | | (all_20_21 = e10) & ~ (all_20_31 = e10)) | (all_20_23
% 57.55/9.03 | | | | | | | = e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 57.55/9.03 | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 57.55/9.03 | | | | | | | (all_20_31 = e11))
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | | BETA: splitting (1018) gives:
% 57.55/9.03 | | | | | | |
% 57.55/9.03 | | | | | | | Case 1:
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | (1019) all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 = e12) &
% 57.55/9.03 | | | | | | | | ~ (all_20_31 = e12)
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | REF_CLOSE: (661), (842), (1019) are inconsistent by sub-proof
% 57.55/9.03 | | | | | | | | #34.
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | Case 2:
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | (1020) (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10)
% 57.55/9.03 | | | | | | | | & ~ (all_20_31 = e10)) | (all_20_23 = e10 &
% 57.55/9.03 | | | | | | | | all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 57.55/9.03 | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 57.55/9.03 | | | | | | | | (all_20_31 = e11))
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | BETA: splitting (1020) gives:
% 57.55/9.03 | | | | | | | |
% 57.55/9.03 | | | | | | | | Case 1:
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | (1021) all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 =
% 57.55/9.03 | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10)
% 57.55/9.03 | | | | | | | | | & ~ (all_20_31 = e10)
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | ALPHA: (1021) implies:
% 57.55/9.03 | | | | | | | | | (1022) all_20_29 = e11
% 57.55/9.03 | | | | | | | | | (1023) ~ (all_20_21 = e10)
% 57.55/9.03 | | | | | | | | |
% 57.55/9.03 | | | | | | | | | COMBINE_EQS: (663), (1022) imply:
% 57.55/9.03 | | | | | | | | | (1024) all_12_14 = e11
% 57.55/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | SIMP: (1024) implies:
% 57.91/9.03 | | | | | | | | | (1025) all_12_14 = e11
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | REDUCE: (460), (1023) imply:
% 57.91/9.03 | | | | | | | | | (1026) ~ (all_12_10 = e10)
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | REDUCE: (61), (1025) imply:
% 57.91/9.03 | | | | | | | | | (1027) ~ (all_12_10 = e11)
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | BETA: splitting (201) gives:
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | Case 1:
% 57.91/9.03 | | | | | | | | | |
% 57.91/9.03 | | | | | | | | | | (1028) all_16_10 = e13
% 57.91/9.03 | | | | | | | | | |
% 57.91/9.03 | | | | | | | | | | REF_CLOSE: (720), (987), (1028) are inconsistent by sub-proof
% 57.91/9.03 | | | | | | | | | | #33.
% 57.91/9.03 | | | | | | | | | |
% 57.91/9.03 | | | | | | | | | Case 2:
% 57.91/9.03 | | | | | | | | | |
% 57.91/9.03 | | | | | | | | | | (1029) all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 57.91/9.03 | | | | | | | | | | e10
% 57.91/9.03 | | | | | | | | | |
% 57.91/9.03 | | | | | | | | | | REF_CLOSE: (720), (847), (1026), (1027), (1029) are
% 57.91/9.03 | | | | | | | | | | inconsistent by sub-proof #32.
% 57.91/9.03 | | | | | | | | | |
% 57.91/9.03 | | | | | | | | | End of split
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | Case 2:
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | (1030) all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 =
% 57.91/9.03 | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11)
% 57.91/9.03 | | | | | | | | | & ~ (all_20_31 = e11)
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | ALPHA: (1030) implies:
% 57.91/9.03 | | | | | | | | | (1031) ~ (all_20_1 = e11)
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | REDUCE: (641), (1031) imply:
% 57.91/9.03 | | | | | | | | | (1032) $false
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | | CLOSE: (1032) is inconsistent.
% 57.91/9.03 | | | | | | | | |
% 57.91/9.03 | | | | | | | | End of split
% 57.91/9.03 | | | | | | | |
% 57.91/9.03 | | | | | | | End of split
% 57.91/9.03 | | | | | | |
% 57.91/9.03 | | | | | | End of split
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | End of split
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | Case 2:
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | (1033) all_16_12 = e11 | all_16_12 = e10
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | REF_CLOSE: (706), (828), (836), (1033) are inconsistent by sub-proof
% 57.91/9.03 | | | | | #31.
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | End of split
% 57.91/9.03 | | | |
% 57.91/9.03 | | | End of split
% 57.91/9.03 | | |
% 57.91/9.03 | | Case 2:
% 57.91/9.03 | | |
% 57.91/9.03 | | | (1034) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 57.91/9.03 | | |
% 57.91/9.03 | | | BETA: splitting (1034) gives:
% 57.91/9.03 | | |
% 57.91/9.03 | | | Case 1:
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | (1035) all_16_8 = e12
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | COMBINE_EQS: (704), (1035) imply:
% 57.91/9.03 | | | | (1036) all_12_2 = e12
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | COMBINE_EQS: (753), (1036) imply:
% 57.91/9.03 | | | | (1037) all_24_6 = e12
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | REDUCE: (90), (1036) imply:
% 57.91/9.03 | | | | (1038) ~ (all_12_3 = e12)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | SIMP: (1038) implies:
% 57.91/9.03 | | | | (1039) ~ (all_12_3 = e12)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | REDUCE: (89), (1036) imply:
% 57.91/9.03 | | | | (1040) ~ (all_12_6 = e12)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | SIMP: (1040) implies:
% 57.91/9.03 | | | | (1041) ~ (all_12_6 = e12)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | REDUCE: (87), (1036) imply:
% 57.91/9.03 | | | | (1042) ~ (all_12_14 = e12)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | SIMP: (1042) implies:
% 57.91/9.03 | | | | (1043) ~ (all_12_14 = e12)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | REDUCE: (826), (1036) imply:
% 57.91/9.03 | | | | (1044) ~ (e12 = e11)
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | REDUCE: (860), (1036) imply:
% 57.91/9.03 | | | | (1045) h3(e12) = all_28_53
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | REDUCE: (922), (1036) imply:
% 57.91/9.03 | | | | (1046) op1(e11, e12) = all_20_4
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | BETA: splitting (200) gives:
% 57.91/9.03 | | | |
% 57.91/9.03 | | | | Case 1:
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | (1047) all_16_12 = e13
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | COMBINE_EQS: (706), (1047) imply:
% 57.91/9.03 | | | | | (1048) all_12_3 = e13
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | COMBINE_EQS: (665), (1048) imply:
% 57.91/9.03 | | | | | (1049) all_20_7 = e13
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | REDUCE: (86), (1048) imply:
% 57.91/9.03 | | | | | (1050) ~ (all_12_7 = e13)
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | SIMP: (1050) implies:
% 57.91/9.03 | | | | | (1051) ~ (all_12_7 = e13)
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | REDUCE: (85), (1048) imply:
% 57.91/9.03 | | | | | (1052) ~ (all_12_11 = e13)
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | SIMP: (1052) implies:
% 57.91/9.03 | | | | | (1053) ~ (all_12_11 = e13)
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | REDUCE: (864), (1048) imply:
% 57.91/9.03 | | | | | (1054) h3(e13) = all_28_62
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | REDUCE: (925), (1048) imply:
% 57.91/9.03 | | | | | (1055) op1(e10, e13) = all_20_6
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | REDUCE: (103), (1048) imply:
% 57.91/9.03 | | | | | (1056) op1(e10, e13) = e13
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | GROUND_INST: instantiating (26) with e13, all_20_6, e13, e10,
% 57.91/9.03 | | | | | simplifying with (1055), (1056) gives:
% 57.91/9.03 | | | | | (1057) all_20_6 = e13
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | GROUND_INST: instantiating (26) with all_12_6, all_20_4, e12, e11,
% 57.91/9.03 | | | | | simplifying with (106), (1046) gives:
% 57.91/9.03 | | | | | (1058) all_20_4 = all_12_6
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | GROUND_INST: instantiating (24) with all_6_0, all_28_53, e12,
% 57.91/9.03 | | | | | simplifying with (39), (1045) gives:
% 57.91/9.03 | | | | | (1059) all_28_53 = all_6_0
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | GROUND_INST: instantiating (24) with e22, all_28_62, e13, simplifying
% 57.91/9.03 | | | | | with (40), (1054) gives:
% 57.91/9.03 | | | | | (1060) all_28_62 = e22
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | BETA: splitting (207) gives:
% 57.91/9.03 | | | | |
% 57.91/9.03 | | | | | Case 1:
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | (1061) all_16_3 = e13
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | COMBINE_EQS: (724), (1061) imply:
% 57.91/9.03 | | | | | | (1062) all_12_12 = e13
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | COMBINE_EQS: (659), (1062) imply:
% 57.91/9.03 | | | | | | (1063) all_20_25 = e13
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | COMBINE_EQS: (582), (1062) imply:
% 57.91/9.03 | | | | | | (1064) all_24_9 = e13
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | REDUCE: (79), (1062) imply:
% 57.91/9.03 | | | | | | (1065) ~ (all_12_4 = e13)
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | REDUCE: (57), (1062) imply:
% 57.91/9.03 | | | | | | (1066) ~ (all_12_15 = e13)
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | SIMP: (1066) implies:
% 57.91/9.03 | | | | | | (1067) ~ (all_12_15 = e13)
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | REDUCE: (851), (1062) imply:
% 57.91/9.03 | | | | | | (1068) ~ (e13 = e12)
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | REDUCE: (832), (1062) imply:
% 57.91/9.03 | | | | | | (1069) ~ (e13 = e11)
% 57.91/9.03 | | | | | |
% 57.91/9.03 | | | | | | REDUCE: (855), (1062) imply:
% 57.91/9.04 | | | | | | (1070) h3(e13) = all_28_43
% 57.91/9.04 | | | | | |
% 57.91/9.04 | | | | | | BETA: splitting (208) gives:
% 57.91/9.04 | | | | | |
% 57.91/9.04 | | | | | | Case 1:
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | (1071) all_16_1 = e13
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | COMBINE_EQS: (708), (1071) imply:
% 57.91/9.04 | | | | | | | (1072) all_12_4 = e13
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | SIMP: (1072) implies:
% 57.91/9.04 | | | | | | | (1073) all_12_4 = e13
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | REDUCE: (1065), (1073) imply:
% 57.91/9.04 | | | | | | | (1074) $false
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | CLOSE: (1074) is inconsistent.
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | Case 2:
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | (1075) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | BETA: splitting (1075) gives:
% 57.91/9.04 | | | | | | |
% 57.91/9.04 | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | |
% 57.91/9.04 | | | | | | | | (1076) all_16_1 = e12
% 57.91/9.04 | | | | | | | |
% 57.91/9.04 | | | | | | | | REF_CLOSE: (708), (843), (1076) are inconsistent by sub-proof
% 57.91/9.04 | | | | | | | | #30.
% 57.91/9.04 | | | | | | | |
% 57.91/9.04 | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | |
% 57.91/9.04 | | | | | | | | (1077) all_16_1 = e11 | all_16_1 = e10
% 57.91/9.04 | | | | | | | |
% 57.91/9.04 | | | | | | | | BETA: splitting (1077) gives:
% 57.91/9.04 | | | | | | | |
% 57.91/9.04 | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | (1078) all_16_1 = e11
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | REF_CLOSE: (708), (830), (1078) are inconsistent by sub-proof
% 57.91/9.04 | | | | | | | | | #29.
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | (1079) all_16_1 = e10
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | COMBINE_EQS: (708), (1079) imply:
% 57.91/9.04 | | | | | | | | | (1080) all_12_4 = e10
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | SIMP: (1080) implies:
% 57.91/9.04 | | | | | | | | | (1081) all_12_4 = e10
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | COMBINE_EQS: (643), (1081) imply:
% 57.91/9.04 | | | | | | | | | (1082) all_20_9 = e10
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | REDUCE: (82), (1081) imply:
% 57.91/9.04 | | | | | | | | | (1083) ~ (all_12_6 = e10)
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | SIMP: (1083) implies:
% 57.91/9.04 | | | | | | | | | (1084) ~ (all_12_6 = e10)
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | REDUCE: (81), (1081) imply:
% 57.91/9.04 | | | | | | | | | (1085) ~ (all_12_7 = e10)
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | SIMP: (1085) implies:
% 57.91/9.04 | | | | | | | | | (1086) ~ (all_12_7 = e10)
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | REDUCE: (830), (1081) imply:
% 57.91/9.04 | | | | | | | | | (1087) ~ (e11 = e10)
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | SIMP: (1087) implies:
% 57.91/9.04 | | | | | | | | | (1088) ~ (e11 = e10)
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | REDUCE: (853), (1081) imply:
% 57.91/9.04 | | | | | | | | | (1089) h3(e10) = all_28_39
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | BETA: splitting (326) gives:
% 57.91/9.04 | | | | | | | | |
% 57.91/9.04 | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | (1090) all_24_6 = e13
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | COMBINE_EQS: (1037), (1090) imply:
% 57.91/9.04 | | | | | | | | | | (1091) e13 = e12
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | REDUCE: (1068), (1091) imply:
% 57.91/9.04 | | | | | | | | | | (1092) $false
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | CLOSE: (1092) is inconsistent.
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | (1093) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | BETA: splitting (1093) gives:
% 57.91/9.04 | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | (1094) all_24_7 = e13
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | COMBINE_EQS: (464), (1094) imply:
% 57.91/9.04 | | | | | | | | | | | (1095) all_12_6 = e13
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | SIMP: (1095) implies:
% 57.91/9.04 | | | | | | | | | | | (1096) all_12_6 = e13
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | COMBINE_EQS: (1058), (1096) imply:
% 57.91/9.04 | | | | | | | | | | | (1097) all_20_4 = e13
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | REDUCE: (1084), (1096) imply:
% 57.91/9.04 | | | | | | | | | | | (1098) ~ (e13 = e10)
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | REDUCE: (861), (1096) imply:
% 57.91/9.04 | | | | | | | | | | | (1099) h3(e13) = all_28_55
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | BETA: splitting (271) gives:
% 57.91/9.04 | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | (1100) all_20_0 = e13
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | COMBINE_EQS: (929), (1100) imply:
% 57.91/9.04 | | | | | | | | | | | | (1101) e13 = e12
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | REDUCE: (1068), (1101) imply:
% 57.91/9.04 | | | | | | | | | | | | (1102) $false
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | CLOSE: (1102) is inconsistent.
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | (1103) all_20_2 = e12 | all_20_4 = e11 | all_20_6 = e10
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | BETA: splitting (1103) gives:
% 57.91/9.04 | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | (1104) all_20_2 = e12
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | COMBINE_EQS: (928), (1104) imply:
% 57.91/9.04 | | | | | | | | | | | | | (1105) all_12_13 = e12
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | SIMP: (1105) implies:
% 57.91/9.04 | | | | | | | | | | | | | (1106) all_12_13 = e12
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | COMBINE_EQS: (661), (1106) imply:
% 57.91/9.04 | | | | | | | | | | | | | (1107) all_20_27 = e12
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | COMBINE_EQS: (590), (1106) imply:
% 57.91/9.04 | | | | | | | | | | | | | (1108) all_24_10 = e12
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | REDUCE: (75), (1106) imply:
% 57.91/9.04 | | | | | | | | | | | | | (1109) ~ (all_12_5 = e12)
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | REDUCE: (859), (1106) imply:
% 57.91/9.04 | | | | | | | | | | | | | (1110) h3(e12) = all_28_51
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | BETA: splitting (206) gives:
% 57.91/9.04 | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | (1111) all_16_5 = e13
% 57.91/9.04 | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | REF_CLOSE: (710), (985), (1111) are inconsistent by sub-proof
% 57.91/9.04 | | | | | | | | | | | | | | #28.
% 57.91/9.04 | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | (1112) ~ (all_16_5 = e13)
% 57.91/9.04 | | | | | | | | | | | | | | (1113) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 57.91/9.04 | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 57.91/9.04 | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | (1114) all_24_2 = e11
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1114) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | (1115) e11 = e10
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | REDUCE: (1088), (1115) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | (1116) $false
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | CLOSE: (1116) is inconsistent.
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | (1117) all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | BETA: splitting (1117) gives:
% 57.91/9.04 | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | (1118) all_24_3 = e11
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1118) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1119) all_12_5 = e11
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | SIMP: (1119) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1120) all_12_5 = e11
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (1120) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1121) all_20_11 = e11
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | REDUCE: (77), (1120) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1122) ~ (all_12_7 = e11)
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | SIMP: (1122) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1123) ~ (all_12_7 = e11)
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | REDUCE: (985), (1120) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1124) ~ (e13 = e11)
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | REDUCE: (857), (1120) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | (1125) h3(e11) = all_28_47
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | (1126) all_16_13 = e13
% 57.91/9.04 | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (714), (1051), (1126) are inconsistent by
% 57.91/9.04 | | | | | | | | | | | | | | | | | sub-proof #27.
% 57.91/9.04 | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | (1127) ~ (all_16_13 = e13)
% 57.91/9.04 | | | | | | | | | | | | | | | | | (1128) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 57.91/9.04 | | | | | | | | | | | | | | | | | e10
% 57.91/9.04 | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | BETA: splitting (1128) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1129) all_16_13 = e12
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (1129) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1130) all_12_7 = e12
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | SIMP: (1130) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1131) all_12_7 = e12
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | REDUCE: (70), (1131) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1132) ~ (all_12_15 = e12)
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | SIMP: (1132) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1133) ~ (all_12_15 = e12)
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | REDUCE: (1051), (1131) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1134) ~ (e13 = e12)
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | REDUCE: (1086), (1131) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1135) ~ (e12 = e10)
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | REDUCE: (865), (1131) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1136) h3(e12) = all_28_65
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_6_2, all_28_39, e10,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | simplifying with (37), (1089) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1137) all_28_39 = all_6_2
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_6_1, all_28_47, e11,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | simplifying with (38), (1125) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1138) all_28_47 = all_6_1
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_6_0, all_28_51, e12,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | simplifying with (39), (1110) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1139) all_28_51 = all_6_0
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_28_65, all_28_51, e12,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | simplifying with (1110), (1136) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1140) all_28_51 = all_28_65
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with e22, all_28_43, e13,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | simplifying with (40), (1070) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1141) all_28_43 = e22
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_28_55, all_28_43, e13,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | simplifying with (1070), (1099) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1142) all_28_43 = all_28_55
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1141), (1142) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1143) all_28_55 = e22
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1139), (1140) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1144) all_28_65 = all_6_0
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | SIMP: (1144) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | (1145) all_28_65 = all_6_0
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | (1146) all_16_10 = e13
% 57.91/9.04 | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (987), (1146) are inconsistent by sub-proof
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | #33.
% 57.91/9.04 | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | (1147) all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | e10
% 57.91/9.04 | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | (1148) all_16_14 = e13
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1053), (1148) are inconsistent by
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | (1149) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | e10
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1150) all_18_6 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1150) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1151) all_14_9 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1152) all_22_19 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1153) ~ (all_14_13 = e23)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | SIMP: (1153) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1154) ~ (all_14_13 = e23)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1155) ~ (all_6_1 = e23)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | SIMP: (1155) implies:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1156) ~ (all_6_1 = e23)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1157) ~ (e23 = e22)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1158) ~ (e23 = e20)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1159) op2(e22, e23) = all_22_18
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (1151) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1160) op2(e22, e21) = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_22_18, e23, e22,
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (1159) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | (1161) all_22_18 = e20
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | (1162) all_18_12 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1162) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | (1163) all_14_3 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1163) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | (1164) all_22_7 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1163) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | (1165) all_26_12 = e23
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1163) imply:
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | | (1166) ~ (all_14_2 = e23)
% 57.91/9.04 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1163) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1167) ~ (all_14_7 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1167) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (all_14_7 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1163) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1169) ~ (all_14_11 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1169) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1170) ~ (all_14_11 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1163) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1171) ~ (all_10_1 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1171) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1172) ~ (all_10_1 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1163) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1173) op2(e20, e23) = all_22_6
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (1163) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | (1174) op2(e20, e23) = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | (1175) all_18_8 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1175) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | (1176) all_14_2 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1166), (1176) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | (1177) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1177) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | (1178) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_18_8 = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1179) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_14_2 = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (1180) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1181) ~ (all_14_6 = e22)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1181) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1182) ~ (all_14_6 = e22)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1180) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1183) ~ (all_14_14 = e22)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1183) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1184) ~ (all_14_14 = e22)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (1180) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1185) op2(e21, e22) = all_22_4
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (1180) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1186) op2(e21, e23) = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_22_6, e23, e20,
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1173), (1174) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_22_6 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_14_6, all_22_4, e22,
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (170), (1185) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_22_4 = all_14_6
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_18_1 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1189) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_14_4 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1190) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1191) ~ (all_14_12 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1191) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1192) ~ (all_14_12 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (903), (1190) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | (1193) op2(e23, e23) = all_22_8
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_18_3 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1194) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_14_12 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1192), (1195) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1196) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) ~ (all_18_3 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1198) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_18_3 = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1199) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_14_12 = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1200) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1201) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) ~ (all_18_3 = e22)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_18_3 = e21 | all_18_3 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1203) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_18_3 = e21
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1204) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_14_12 = e21
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1205) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1206) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_18_3 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1207) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_14_12 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1208) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_22_25 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (1208) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_26_9 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1208) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) ~ (all_14_14 = e20)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1211) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_14_14 = e20)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1192), (1208) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (e23 = e20)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1208) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) ~ (e22 = e20)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_26_9 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1210), (1215) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) e23 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1216) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1217) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_26_10 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (1219) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_14_13 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1220) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_14_13 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1154), (1221) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1222) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_26_11 = e23 | all_26_15 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1223) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_26_11 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (522), (1224) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_14_14 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1225) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_14_14 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (631), (1226) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_22_29 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1226) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) ~ (all_14_6 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (1226) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) op2(e21, e20) = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_5 = e21 & all_22_17 = e21 & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1230) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21))
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (544), (617), (1157), (1158), (1231) are
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_7 = e20 & all_22_25
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_21 = e23) & ~ (all_22_31 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23))
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (781), (1233) are inconsistent by sub-proof
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1234) gives:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1235) implies:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_22_25 = e23
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1209), (1236) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) e23 = e20
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1237) imply:
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) $false
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1238) is inconsistent.
% 57.91/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1239) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_22_7 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1164), (1240) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) e23 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1241) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) e23 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1242) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1243) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_15 = e20 &
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_23 = e21 &
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1244) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1245) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1246) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_22_19 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1152), (1247) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) e23 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1248) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) e23 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1157), (1249) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1250) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_15 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1251) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1252) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_22_19 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1152), (1253) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) e23 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1254) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) e23 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1255) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1256) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1257) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_22_27 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_22_15 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) ~ (all_22_31 = e20)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) ~ (all_22_11 = e20)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1259) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_14_7 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1258) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_14_13 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (1260) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) ~ (all_10_1 = e20)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1263) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) ~ (all_10_1 = e22)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1265) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) ~ (all_10_1 = e22)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1263) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_6_1 = e22)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1267) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_6_1 = e22)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1154), (1263) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) ~ (e23 = e22)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (1262) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) op2(e20, e22) = all_22_14
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (1262) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) op2(e20, e22) = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_18_5 = e23
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1272) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_6_1 = e23
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1273) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1274) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) ~ (all_18_5 = e23)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_18_15 = e23
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1277) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_10_1 = e23
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1172), (1278) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1279) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_18_15 = e22 | all_18_15 = e21 | all_18_15 =
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_18_15 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1281) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_10_1 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1266), (1282) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1283) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_18_15 = e21 | all_18_15 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_18_15 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1285) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_10_1 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1264), (1286) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) ~ (e21 = e20)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (1286) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) op2(e21, e20) = all_28_132
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_26_2 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (1289) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) e21 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1287), (1290) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1291) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1292) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_26_3 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1293) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_6_1 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1294) implies:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_6_1 = e21
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (1295) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) ~ (all_14_6 = e21)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1295) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) ~ (e23 = e21)
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1295) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) op2(e22, e21) = all_6_0
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_18_9 = e23
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1299) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_14_6 = e23
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1228), (1300) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1301) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_18_9 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1303) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_14_6 = e22
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1304) imply:
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) $false
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1305) is inconsistent.
% 57.91/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) ~ (all_18_9 = e22)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_18_9 = e21 | all_18_9 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1307) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_18_9 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1308) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_14_6 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1296), (1309) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1310) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_18_9 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1311) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_14_6 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (1312) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) op2(e21, e20) = all_22_12
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_22_14, e22, e20,
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1270), (1271) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_22_14 = e22
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_22_12, all_28_132,
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, e21, simplifying with (1288), (1313) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_28_132 = all_22_12
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_132, e20, e21,
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1229), (1288) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_28_132 = e23
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_6_0, e21, e22,
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1160), (1298) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_6_0 = e23
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_22_8, e23, e23,
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1193) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_22_8 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1315), (1316) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_22_12 = e23
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (954), (1317) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_22_10 = e23
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_22_8 = e23
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1318), (1321) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) e23 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1322) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1323) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_22_8 = e23)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_22_10 = e22 | all_22_12 = e21 | all_22_14 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_22_10 = e22
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1320), (1326) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) e23 = e22
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1327) implies:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) e23 = e22
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1157), (1328) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1329) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_22_12 = e21 | all_22_14 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1330) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_22_12 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1319), (1331) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) e23 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1332) implies:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) e23 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1333) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1334) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_22_14 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1314), (1335) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) e22 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1336) implies:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) e22 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1337) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1338) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) ~ (all_26_3 = e21)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (1339) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) ~ (all_6_1 = e21)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (789), (1268), (1276), (1340) are
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_18_15 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1341) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_10_1 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1264), (1342) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1343) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_23 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1344) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1345) implies:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_22_27 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1346) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_14_13 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1347) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1348) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e20) & ~ (all_22_21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_31 = e20)) | (all_22_23 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1349) gives:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1350) implies:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_22_29 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1227), (1351) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) e23 = e21
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1352) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1353) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1354) implies:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_22_29 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1227), (1355) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) e23 = e20
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1356) imply:
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) $false
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1357) is inconsistent.
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_26_15 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (755), (1358) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_10_1 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1359) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_10_1 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1172), (1360) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) $false
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1361) is inconsistent.
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1362) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_18_1 = e22
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1363) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_14_4 = e22
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1364) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) $false
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1365) is inconsistent.
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_18_1 = e21 | all_18_1 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1366) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_18_1 = e21
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1367) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_14_4 = e21
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1368) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) $false
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1369) is inconsistent.
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_18_1 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1370) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_14_4 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_22_9 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (764), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_26_1 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) ~ (all_14_6 = e20)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1374) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) ~ (all_14_6 = e20)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) ~ (all_14_7 = e20)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1376) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) ~ (all_14_7 = e20)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) ~ (all_14_12 = e20)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) ~ (all_14_12 = e20)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (903), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) op2(e23, e20) = all_22_8
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1371) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) op2(e23, e22) = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_18_3 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1382) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_14_12 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1383) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_22_25 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (1383) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_26_9 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (1383) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) op2(e23, e23) = all_22_24
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (1383) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) op2(e23, e20) = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_26_1 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1373), (1388) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) e23 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1389) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) $false
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1390) is inconsistent.
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_26_3 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1392) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_6_1 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_6_1 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1394) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) $false
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1395) is inconsistent.
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_26_7 = e23 | all_26_13 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1396) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_26_7 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1397) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_14_6 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1398) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_14_6 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1188), (1399) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_22_4 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1399) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) ~ (all_4_1 = e23)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) ~ (all_4_1 = e23)
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (1399) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) op2(e21, e23) = all_22_12
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1399) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) op2(e21, e22) = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_22_0 = e23
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (1405) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) e23 = e22
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1157), (1406) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) $false
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1407) is inconsistent.
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_22_2 = e22 | all_22_4 = e21 | all_22_6 = e20
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1408) gives:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_22_2 = e22
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (937), (1409) imply:
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_14_13 = e22
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.91/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1410) implies:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_14_13 = e22
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1411) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_22_27 = e22
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (1411) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_26_10 = e22
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1411) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) ~ (all_6_1 = e22)
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1414) implies:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_6_1 = e22)
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (1411) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) op2(e22, e20) = e22
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_18_5 = e23
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1417) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_6_1 = e23
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1418) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) $false
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1419) is inconsistent.
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) ~ (all_18_5 = e23)
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1421) gives:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_18_5 = e22
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1422) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_6_1 = e22
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1415), (1423) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) $false
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1424) is inconsistent.
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_18_5 = e21 | all_18_5 = e20
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_18_5 = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1426) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_6_1 = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_28_67 = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1138), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_28_47 = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (948), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_28_37 = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (938), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_28_36 = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) ~ (all_14_7 = e21)
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1156), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) ~ (e23 = e21)
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) h3(e11) = e21
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) op2(all_6_0, e21) = all_28_48
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) op2(e21, all_6_0) = all_28_54
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) op2(e21, e21) = all_28_56
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) op2(e21, all_6_2) = all_28_58
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) op2(e21, e22) = all_28_52
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (896), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) op2(all_6_2, e21) = all_28_66
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1427) imply:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) op2(e22, e21) = all_6_0
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_18_13 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1442) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_14_7 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1168), (1443) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) $false
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1444) is inconsistent.
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) ~ (all_18_13 = e23)
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1446) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_18_13 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1447) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_14_7 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (1448) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_26_13 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (1448) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) ~ (all_10_1 = e22)
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1450) implies:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) ~ (all_10_1 = e22)
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1168), (1448) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (e23 = e22)
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (1448) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) op2(e20, e22) = all_22_14
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (1448) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op2(e20, e22) = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_22_14, e22, e20,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1453), (1454) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_22_14 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_4_1, all_28_56, e21,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (29), (1437) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_28_56 = all_4_1
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_52, e22, e21,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1404), (1439) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_28_52 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_22_12, e23, e21,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1186), (1403) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_22_12 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_6_0, e21, e22,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1160), (1441) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_6_0 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_22_8, e20, e23,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1380), (1387) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_22_8 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_22_24, e23, e23,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1386) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_22_24 = e21
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1145), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_28_65 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_28_64 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1059), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_28_53 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1139), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_28_51 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (949), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_28_41 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (939), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_28_40 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) op2(e23, e23) = all_28_46
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) op2(e23, all_6_2) = all_28_50
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) op2(e23, e22) = all_6_2
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1435), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) op2(e23, e21) = all_28_48
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (895), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) op2(all_6_2, e23) = all_28_63
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) op2(e22, e23) = all_28_38
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1459) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) op2(e21, e23) = all_28_54
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_54, e23, e21,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1186), (1474) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_28_54 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_28_38, e23, e22,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (1473) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_28_38 = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_48, e21, e23,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (15), (1471) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_28_48 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_6_2, e22, e23,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1381), (1470) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_6_2 = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_28_46, e23, e23,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (16), (1468) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_28_46 = e21
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_28_70 = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (947), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_28_45 = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (946), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_28_44 = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1137), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_28_39 = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) h3(e10) = e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) op2(e20, e20) = all_28_69
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1472), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) op2(e20, e23) = all_28_63
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (894), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) op2(e20, e22) = all_28_60
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1440), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) op2(e20, e21) = all_28_66
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1469), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) op2(e23, e20) = all_28_50
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (885), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) op2(e22, e20) = all_28_42
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1478) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) op2(e21, e20) = all_28_58
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_10_1, all_28_69, e20,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (50), (1485) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_28_69 = all_10_1
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_14_11, all_28_66, e21,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (165), (1488) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_28_66 = all_14_11
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_60, e22, e20,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1454), (1487) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_28_60 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_63, e23, e20,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1174), (1486) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_28_63 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_14_14, all_28_58, e20,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (168), (1491) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_28_58 = all_14_14
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_42, e20, e22,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1416), (1490) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_28_42 = e22
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_50, e20, e23,
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1387), (1489) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_28_50 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_18_10 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1499) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_4_1 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1402), (1500) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) $false
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1501) is inconsistent.
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_18_15 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1503) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_10_1 = e23
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1172), (1504) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) $false
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1505) is inconsistent.
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) ~ (all_18_15 = e23)
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_18_15 = e22 | all_18_15 = e21 | all_18_15 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_5 = e11 & all_20_17 = e11 & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_1 = e13) & ~ (all_20_11 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)) | (all_20_7 = e10
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e13))
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11))
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1509) gives:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1510) implies:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_20_9 = e13
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1082), (1511) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) e13 = e10
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1512) implies:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) e13 = e10
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1098), (1513) imply:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) $false
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1514) is inconsistent.
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)) | (all_20_5 = e13
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e11))
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1515) gives:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1516) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_20_9 = e12
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1082), (1517) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) e12 = e10
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1518) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) e12 = e10
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1135), (1519) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) $false
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1520) is inconsistent.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (1068), (1521) are inconsistent by
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)) | (all_20_7 = e13
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_7 = e10 & all_20_25
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10 & ~ (all_20_1 = e13) & ~ (all_20_11 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13))
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1522) gives:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (1044), (1523) are inconsistent by
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)) | (all_20_7 = e10
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e13))
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1525) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) ~ (all_20_21 = e10)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) ~ (all_20_11 = e10)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (24), (54), (62), (302), (323), (324),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325), (347), (439), (441), (460), (507), (522),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569), (598), (617), (631), (690), (722), (751),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752), (755), (756), (781), (811), (813), (818),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (849), (862), (863), (866), (867), (990),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037), (1044), (1060), (1064), (1067), (1069),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094), (1098), (1108), (1121), (1133), (1135),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141), (1143), (1149), (1152), (1157), (1158),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165), (1170), (1172), (1372), (1384), (1385),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412), (1413), (1428), (1429), (1430), (1431),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434), (1449), (1451), (1456), (1457), (1462),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463), (1464), (1465), (1466), (1467), (1475),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476), (1477), (1479), (1480), (1481), (1482),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483), (1484), (1492), (1493), (1494), (1495),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496), (1497), (1498), (1502), (1507), (1526),
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) are inconsistent by sub-proof #16.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1528) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_20_25 = e10
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1063), (1529) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) e13 = e10
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1098), (1530) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) $false
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1531) is inconsistent.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_11 = e11) & ~ (all_20_21
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_31 = e11)) | (all_20_13 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e12)) | (all_20_15 = e12 &
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_15 = e10 &
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e12)) | (all_20_23 = e11 &
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e11))
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_11 = e11) & ~ (all_20_21
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_31 = e11)) | (all_20_13 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e12)) | (all_20_15 = e12 &
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e10))
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1533) gives:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1534) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_20_19 = e12
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (984), (1535) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) e13 = e12
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1068), (1536) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) $false
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1537) is inconsistent.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_11 = e12) & ~ (all_20_21
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_31 = e12)) | (all_20_15 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e10))
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1538) gives:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1539) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_20_19 = e11
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (984), (1540) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) e13 = e11
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (1541) imply:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) $false
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1542) is inconsistent.
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1543) implies:
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) ~ (all_20_21 = e10)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) ~ (all_20_11 = e10)
% 58.13/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (24), (54), (62), (302), (323), (324),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325), (347), (439), (441), (460), (507), (522),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569), (598), (617), (631), (690), (722), (751),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752), (755), (756), (781), (811), (813), (818),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (849), (862), (863), (866), (867), (990),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037), (1044), (1060), (1064), (1067), (1069),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094), (1098), (1108), (1121), (1133), (1135),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141), (1143), (1149), (1152), (1157), (1158),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165), (1170), (1172), (1372), (1384), (1385),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412), (1413), (1428), (1429), (1430), (1431),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434), (1449), (1451), (1456), (1457), (1462),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463), (1464), (1465), (1466), (1467), (1475),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476), (1477), (1479), (1480), (1481), (1482),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483), (1484), (1492), (1493), (1494), (1495),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496), (1497), (1498), (1502), (1507), (1544),
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) are inconsistent by sub-proof #16.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_11 = e12) & ~ (all_20_21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_31 = e12)) | (all_20_23 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e11))
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1546) gives:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1547) implies:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_20_27 = e10
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1107), (1548) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) e12 = e10
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1549) implies:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) e12 = e10
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1135), (1550) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1551) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e10) & ~ (all_20_21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_31 = e10)) | (all_20_23 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_31 = e11))
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1552) gives:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_20_29 = e11
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) ~ (all_20_21 = e10)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (1554) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_12_14 = e11
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (1555) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) ~ (all_12_10 = e10)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1556) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) ~ (all_12_10 = e11)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (720), (847), (1147), (1557), (1558) are
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #32.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1559) implies:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) ~ (all_20_11 = e11)
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1121), (1560) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1561) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_18_13 = e21 | all_18_13 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1562) gives:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_18_13 = e21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1563) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_14_7 = e21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1432), (1564) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1565) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_18_13 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1566) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_14_7 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1377), (1567) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1568) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_18_5 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1569) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_6_1 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1570) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1571) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_22_4 = e21 | all_22_6 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1572) gives:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_22_4 = e21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1400), (1573) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) e23 = e21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1574) implies:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) e23 = e21
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1575) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1576) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_22_6 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1187), (1577) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) e23 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1578) implies:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) e23 = e20
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1579) imply:
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) $false
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1580) is inconsistent.
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_26_13 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (1581) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) all_14_7 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1168), (1582) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) $false
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1583) is inconsistent.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_18_3 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1585) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_14_12 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1586) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) $false
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1587) is inconsistent.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_18_3 = e21 | all_18_3 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) all_18_3 = e21
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1589) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_14_12 = e21
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1590) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) $false
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1591) is inconsistent.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_18_3 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1592) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_14_12 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1379), (1593) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) $false
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1594) is inconsistent.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_18_8 = e21 | all_18_8 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (775), (785), (1595) are inconsistent by
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | (1596) ~ (all_18_12 = e23)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | (1597) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (1596) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | (1598) ~ (all_14_3 = e23)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | (1599) all_26_0 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1599) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | (1600) e23 = e21
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1600) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | (1601) $false
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1601) is inconsistent.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | (1602) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1602) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_26_2 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (1603) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | (1604) e23 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1604) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | (1605) $false
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1605) is inconsistent.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_26_6 = e23 | all_26_12 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1606) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_26_6 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (1607) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_14_2 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1608) implies:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_14_2 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1609) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1610) ~ (all_14_3 = e23)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (1609) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1611) ~ (all_4_1 = e23)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1611) implies:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | (1612) ~ (all_4_1 = e23)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1597) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_18_12 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1613) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_14_3 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1614) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_22_7 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1614) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) ~ (all_14_7 = e22)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1616) implies:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) ~ (all_14_7 = e22)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1598), (1614) imply:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) ~ (e23 = e22)
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_5 = e21 & all_22_17 = e21 & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1619) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21))
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (544), (617), (1157), (1158), (1620) are
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_7 = e20 & all_22_25
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_21 = e23) & ~ (all_22_31 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23))
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (617), (781), (1157), (1615), (1621) are
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_15 = e20 &
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_23 = e21 &
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1622) gives:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1623) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1152), (1157), (1624) are inconsistent by
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_15 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1152), (1626) are inconsistent by sub-proof
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1627) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_22_15 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1628) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_14_7 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1617), (1629) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1630) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_23 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1631) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1632) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_22_27 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1633) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_14_13 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1634) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_14_13 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1635) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1636) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e20) & ~ (all_22_21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_31 = e20)) | (all_22_23 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1638) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_22_29 = e21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) ~ (all_22_21 = e20)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (631), (1639) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_14_14 = e21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (1640) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) ~ (all_4_1 = e20)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1641) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) ~ (all_4_1 = e21)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1643) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) ~ (all_4_1 = e21)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_18_10 = e23
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1645) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_4_1 = e23
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1612), (1646) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1647) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1648) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_18_10 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1649) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_4_1 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1650) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1651) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_18_10 = e21 | all_18_10 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1652) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_18_10 = e21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (1644), (1653) are inconsistent by
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_18_10 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1654) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_4_1 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1655) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_4_1 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1642), (1656) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1657) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1658) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) ~ (all_22_1 = e21)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (1659) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1660) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) ~ (all_18_12 = e22)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (1661) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (all_14_3 = e22)
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_26_0 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1663) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) e22 = e21
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1664) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1665) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_26_2 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (1667) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) e22 = e20
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1668) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1669) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_26_6 = e22 | all_26_12 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1670) gives:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_26_6 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1607), (1671) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) e23 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1672) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) e23 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1157), (1673) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1674) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_26_12 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1675) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_14_3 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1676) implies:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_14_3 = e22
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1662), (1677) imply:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) $false
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1678) is inconsistent.
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_26_12 = e23
% 58.13/9.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1679) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_14_3 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_14_3 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1598), (1681) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1682) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1682) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | (1683) ~ (all_18_6 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | (1684) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (1683) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | (1685) ~ (all_14_9 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | (1686) all_18_6 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1686) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | (1687) all_14_9 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (1687) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | (1688) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1688) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | (1689) all_18_6 = e21 | all_18_6 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1690) all_18_6 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1690) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1691) all_14_9 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1692) all_22_19 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (761), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1693) all_26_5 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1694) ~ (all_14_11 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1694) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1695) ~ (all_14_11 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1696) ~ (all_14_13 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1696) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_14_13 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_6_1 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1699) ~ (all_6_1 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_4_1 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1700) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_4_1 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1685), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1702) ~ (e23 = e21)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1703) ~ (e21 = e20)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1704) op2(e22, e21) = all_22_18
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (1691) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1705) op2(e22, e21) = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_22_18, e21, e22,
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1704), (1705) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | (1706) all_22_18 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_18_3 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1707) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_14_12 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1708) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_14_12 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1709) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (1710) ~ (all_14_4 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (1709) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (1711) ~ (all_14_13 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1711) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_14_13 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_18_1 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1713) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_14_4 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1710), (1714) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1715) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1715) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_26_0 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1717) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) e21 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1718) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) e21 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1703), (1719) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_18_7 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1722) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_14_13 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1712), (1723) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1724) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1725) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_18_7 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1726) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_14_13 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1727) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_10_1 = e22)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1728) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) ~ (all_10_1 = e22)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1727) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) ~ (all_6_1 = e22)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1730) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) ~ (all_6_1 = e22)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_26_1 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (764), (1732) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_14_4 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1733) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_14_4 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (944), (1734) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_22_16 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1734) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_22_9 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1734) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) ~ (e22 = e20)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1734) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) ~ (e21 = e20)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_18_5 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1739) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_6_1 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1740) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_6_1 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1741) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_26_3 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1731), (1741) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) ~ (e23 = e22)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1741) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) op2(e22, e23) = all_6_0
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_6_0, e23, e22,
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (14), (1744) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_6_0 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (1745) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) op2(e20, e20) = all_28_46
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1745) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) op2(e20, e22) = all_6_2
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_10_1, all_28_46, e20,
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (50), (1746) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_28_46 = all_10_1
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_14_7, all_6_2, e22,
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (166), (1747) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_14_7 = all_6_2
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1749) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_22_15 = all_6_2
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (1749) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_26_13 = all_6_2
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1749) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_14_3 = all_6_2)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1749) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) ~ (all_14_11 = all_6_2)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1753) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) ~ (all_14_11 = all_6_2)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_18_12 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1755) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_14_3 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1756) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_14_3 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1757) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_26_12 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1757) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_14_11 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1759) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_14_11 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1752), (1757) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_6_2 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1761) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_6_2 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_18_14 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1763) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_14_11 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1764) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_14_11 = e23
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1760), (1765) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) ~ (all_18_14 = e23)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_18_14 = e22 | all_18_14 = e21 | all_18_14 =
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_26_0 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1769) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) e22 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1770) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) e22 = e21
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1771) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1772) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) ~ (all_26_0 = e22)
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_26_2 = e22
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (763), (1775) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) e22 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1776) implies:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) e22 = e20
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1777) imply:
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) $false
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1778) is inconsistent.
% 58.13/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_26_6 = e22 | all_26_12 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_26_4 = e23
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (553), (1743), (1780) are inconsistent by
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1781) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_26_5 = e23
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1693), (1782) are inconsistent by sub-proof
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #11.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_26_8 = e23 | all_26_14 = e23
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1783) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_26_8 = e23
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (526), (1784) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_4_1 = e23
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (1785) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) op2(e21, e23) = all_4_0
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_26_12 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1758), (1787) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) e23 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1743), (1788) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) $false
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1789) is inconsistent.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_26_13 = e22 | all_26_14 = e22 | all_26_15 =
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1790) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_26_13 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1751), (1791) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_6_2 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (1792) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) ~ (e23 = e22)
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_26_12 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1758), (1794) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) e23 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1795) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) $false
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1796) is inconsistent.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_26_13 = e21 | all_26_14 = e21 | all_26_15 =
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1797) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_26_13 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1791), (1798) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) e22 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1799) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) $false
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1800) is inconsistent.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_26_14 = e21 | all_26_15 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_26_14 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1802) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_14_11 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1695), (1803) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) $false
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1804) is inconsistent.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_26_15 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (755), (1805) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_10_1 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1806) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) op2(e20, e20) = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1779) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_26_6 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (1808) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_14_2 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (1809) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) op2(e21, e23) = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1768) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_18_14 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1811) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_14_11 = e22
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1812) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) $false
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1813) is inconsistent.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_18_14 = e21 | all_18_14 = e20
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_18_14 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1815) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_14_11 = e21
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1695), (1816) imply:
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) $false
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1817) is inconsistent.
% 58.13/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_18_14 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1818) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_14_11 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1760), (1819) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) ~ (e23 = e20)
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1820) implies:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) ~ (e23 = e20)
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (1819) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) op2(e20, e20) = all_22_22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_22_22, e20, e20,
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1807), (1822) gives:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_22_22 = e21
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_4_0, e23, e21,
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1786), (1810) gives:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_4_0 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (955), (1824) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_22_20 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_22_16 = e23
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1735), (1826) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) e23 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1821), (1827) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1828) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_22_18 = e22 | all_22_20 = e21 | all_22_22 =
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1829) gives:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_22_18 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1706), (1830) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) e22 = e21
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1831) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1832) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_22_18 = e22)
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_22_20 = e21 | all_22_22 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1834) gives:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_22_20 = e21
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1825), (1835) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) e22 = e21
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1836) implies:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) e22 = e21
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1837) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_22_22 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1823), (1839) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) e21 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1840) implies:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) e21 = e20
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1703), (1841) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1842) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_26_12 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1758), (1843) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) e23 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1743), (1844) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1845) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_26_14 = e22 | all_26_15 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_26_14 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1847) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_14_11 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1848) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1849) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_26_15 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (755), (1850) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_10_1 = e22
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1729), (1851) imply:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) $false
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1852) is inconsistent.
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_26_14 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1853) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_14_11 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1760), (1854) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1855) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1856) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_18_12 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1857) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_14_3 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1858) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_14_3 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1859) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_22_7 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1859) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) ~ (all_14_2 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1752), (1859) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) ~ (all_6_2 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1862) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) ~ (all_6_2 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_18_8 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1864) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_14_2 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (1865) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) ~ (all_14_6 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1866) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) ~ (all_14_6 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1865) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) ~ (all_14_14 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1868) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) ~ (all_14_14 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (1865) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_4_1 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1870) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) ~ (all_4_1 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_18_10 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1872) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_4_1 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1871), (1873) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1874) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) ~ (all_18_10 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_26_4 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (553), (1743), (1877) are inconsistent by
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_26_4 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1878) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) ~ (e23 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1879) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_26_5 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1693), (1881) are inconsistent by sub-proof
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #11.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_26_8 = e23 | all_26_14 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_26_1 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1732), (1883) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) e22 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1884) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) e22 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1885) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1886) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_26_3 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1742), (1888) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) e23 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1743), (1889) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1890) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_26_7 = e22 | all_26_13 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1882) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_26_8 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (526), (1892) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_4_1 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1871), (1893) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1894) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_26_14 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1895) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_14_11 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1896) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_22_23 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1891) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_26_7 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1898) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_14_6 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (1899) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_22_13 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1899) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_14_14 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1901) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) ~ (all_14_14 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1876) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_18_10 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1903) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_4_1 = e22
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1904) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1905) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) ~ (all_18_10 = e22)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_18_10 = e21 | all_18_10 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_26_1 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1732), (1908) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) e21 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1909) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) e21 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1703), (1910) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1911) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1912) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_26_3 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1742), (1913) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) e23 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1914) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1915) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_26_7 = e21 | all_26_13 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_26_7 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1898), (1917) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) e22 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1918) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1919) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_26_13 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1751), (1920) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_6_2 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1750), (1921) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_22_15 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1907) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_18_10 = e21
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (1701), (1923) are inconsistent by
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_18_10 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1924) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_4_1 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1925) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_4_1 = e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1926) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) ~ (all_14_14 = e20)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1871), (1926) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) ~ (e23 = e20)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1928) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) ~ (e23 = e20)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_18_11 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1930) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_14_14 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1931) implies:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_14_14 = e23
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1869), (1932) imply:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) $false
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1933) is inconsistent.
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) ~ (all_18_11 = e23)
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_18_11 = e22 | all_18_11 = e21 | all_18_11 =
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1935) gives:
% 58.41/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_18_11 = e22
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1936) imply:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_14_14 = e22
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1937) implies:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_14_14 = e22
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1902), (1938) imply:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) $false
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1939) is inconsistent.
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) ~ (all_18_11 = e22)
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_18_11 = e21 | all_18_11 = e20
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1941) gives:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_18_11 = e21
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1942) imply:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_14_14 = e21
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1943) implies:
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_14_14 = e21
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (631), (1944) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_22_29 = e21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_5 = e21 & all_22_17 = e21 & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1947) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1948) implies:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_22_9 = e23
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1736), (1949) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) e23 = e20
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1929), (1950) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) $false
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1951) is inconsistent.
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) (all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_5 = e23
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1952) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1953) implies:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_22_9 = e22
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1736), (1954) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) e22 = e20
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1955) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) $false
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1956) is inconsistent.
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (617), (1743), (1957) are inconsistent by
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_7 = e20 & all_22_25
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_21 = e23) & ~ (all_22_31 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (617), (781), (1743), (1860), (1958) are
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_15 = e20 &
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_23 = e21 &
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1961) implies:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_22_19 = e22
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1692), (1962) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) e22 = e21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1963) implies:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) e22 = e21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1964) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) $false
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1965) is inconsistent.
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_15 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1966) gives:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1967) implies:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_22_13 = e21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1900), (1968) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) e22 = e21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1969) implies:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) e22 = e21
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1970) imply:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) $false
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1971) is inconsistent.
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1972) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_22_15 = e22
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (1973) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) e22 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1974) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1975) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_23 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1977) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_22_15 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1922), (1978) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) e21 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1979) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) e21 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1703), (1980) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1981) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e20) & ~ (all_22_21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_31 = e20)) | (all_22_23 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1982) gives:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_22_23 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1897), (1984) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) e23 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1985) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) e23 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1986) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1987) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_22_29 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1945), (1989) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) e21 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1703), (1990) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1991) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_18_11 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1992) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_14_14 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1993) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_14_14 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1927), (1994) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1995) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_26_13 = e22
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1751), (1996) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_6_2 = e22
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1863), (1997) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1998) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1999) gives:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_18_8 = e22
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (2000) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_14_2 = e22
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1861), (2001) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2002) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_18_8 = e21 | all_18_8 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (775), (785), (2003) are inconsistent by
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_18_12 = e21 | all_18_12 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2004) gives:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_18_12 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (2005) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_14_3 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2006) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_14_3 = e21
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (2007) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2008) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_18_12 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (2009) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_14_3 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2010) implies:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_14_3 = e20
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (2011) imply:
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) $false
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2012) is inconsistent.
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (789), (1699), (1731), (2013) are
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) ~ (all_26_1 = e20)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (2014) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) ~ (all_14_4 = e20)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1716) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_18_1 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2016) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_14_4 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (2017) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) $false
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2018) is inconsistent.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_18_1 = e21 | all_18_1 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (779), (2015), (2019) are inconsistent by
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_18_7 = e21 | all_18_7 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (793), (1697), (2020) are inconsistent by
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_26_0 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (2022) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2023) e23 = e21
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2023) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2024) $false
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2024) is inconsistent.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2025) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_26_1 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (764), (2026) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_14_4 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2027) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_14_4 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (2028) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (all_6_1 = e23)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2029) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) ~ (all_6_1 = e23)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_18_5 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2031) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_6_1 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2030), (2032) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) $false
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2033) is inconsistent.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2034) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_18_5 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2035) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_6_1 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2036) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_22_11 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (2036) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) ~ (all_14_13 = e22)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_18_7 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2039) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_14_13 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2040) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_14_13 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (2041) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_22_27 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (2041) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) ~ (all_14_12 = e23)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2038), (2041) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) ~ (e23 = e22)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2041) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) ~ (e23 = e20)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_5 = e21 & all_22_17 = e21 & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21))
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2047) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2048) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_22_3 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2049) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) e23 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2050) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) e23 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2045), (2051) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) $false
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2052) is inconsistent.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) (all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_5 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2054) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_22_3 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2055) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) e22 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2056) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) e22 = e20
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2057) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) $false
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2058) is inconsistent.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_22_17 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2060) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) e23 = e22
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2044), (2061) imply:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) $false
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2062) is inconsistent.
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_7 = e20 & all_22_25
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_21 = e23) & ~ (all_22_31 =
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23))
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2063) gives:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2064) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_22_17 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (2065) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) e22 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2066) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) e22 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (2067) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2068) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2069) gives:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2070) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_22_25 = e23
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2071) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_14_12 = e23
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2072) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_14_12 = e23
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2043), (2073) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2074) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2075) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_22_7 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2076) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_14_3 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2077) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_14_3 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (2078) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2079) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_15 = e20 &
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_23 = e21 &
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2080) gives:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2082) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_22_19 = e22
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1692), (2083) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) e22 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (2084) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_15 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2086) gives:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_22_11 = e22)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2037), (2088) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2089) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2090) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_22_27 = e22
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2042), (2091) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) e23 = e22
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2092) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) e23 = e22
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2044), (2093) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2094) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_23 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2096) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_22_27 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2042), (2097) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) e23 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2098) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) e23 = e20
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2045), (2099) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2100) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e20) & ~ (all_22_21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_31 = e20)) | (all_22_23 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2101) gives:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2102) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_22_23 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2103) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_14_11 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2104) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_14_11 = e21
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1695), (2105) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2106) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) ~ (all_22_1 = e21)
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (2108) imply:
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) $false
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2109) is inconsistent.
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_18_7 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2111) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_14_13 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2112) implies:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_14_13 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2038), (2113) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) $false
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2114) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_18_7 = e21 | all_18_7 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (793), (1697), (2115) are inconsistent by
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_18_5 = e21 | all_18_5 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (789), (1699), (2116) are inconsistent by
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) ~ (all_26_1 = e23)
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (2117) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) ~ (all_14_4 = e23)
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_18_1 = e23
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2119) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_14_4 = e23
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2118), (2120) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) $false
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2121) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_18_1 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2123) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_14_4 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (2124) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) $false
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_18_1 = e21 | all_18_1 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2021) gives:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_18_3 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2127) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_14_12 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2128) implies:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_14_12 = e22
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (2129) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) $false
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2130) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_18_3 = e21 | all_18_3 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_18_3 = e21
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2132) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_14_12 = e21
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2133) implies:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_14_12 = e21
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (2134) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) $false
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2135) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_18_3 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2136) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_14_12 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2137) implies:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_14_12 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2138) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) ~ (all_14_4 = e20)
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (779), (2126), (2139) are inconsistent by
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | (2140) all_18_6 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2140) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | (2141) all_14_9 = e20
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (2141) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | (2142) $false
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2142) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | (2143) all_16_13 = e11 | all_16_13 = e10
% 58.48/9.21 | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (714), (1086), (1123), (2143) are inconsistent by
% 58.48/9.21 | | | | | | | | | | | | | | | | | | sub-proof #8.
% 58.48/9.21 | | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | (2144) ~ (all_24_3 = e11)
% 58.48/9.21 | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | REDUCE: (481), (2144) imply:
% 58.48/9.21 | | | | | | | | | | | | | | | | (2145) ~ (all_12_5 = e11)
% 58.48/9.21 | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | | REF_CLOSE: (710), (838), (1109), (1113), (2145) are
% 58.48/9.21 | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 58.48/9.21 | | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | (2146) all_20_4 = e11 | all_20_6 = e10
% 58.48/9.21 | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | BETA: splitting (2146) gives:
% 58.48/9.21 | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | (2147) all_20_4 = e11
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | COMBINE_EQS: (1097), (2147) imply:
% 58.48/9.21 | | | | | | | | | | | | | | (2148) e13 = e11
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | SIMP: (2148) implies:
% 58.48/9.21 | | | | | | | | | | | | | | (2149) e13 = e11
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | REDUCE: (1069), (2149) imply:
% 58.48/9.21 | | | | | | | | | | | | | | (2150) $false
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | CLOSE: (2150) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | (2151) all_20_6 = e10
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | COMBINE_EQS: (1057), (2151) imply:
% 58.48/9.21 | | | | | | | | | | | | | | (2152) e13 = e10
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | SIMP: (2152) implies:
% 58.48/9.21 | | | | | | | | | | | | | | (2153) e13 = e10
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | REDUCE: (1098), (2153) imply:
% 58.48/9.21 | | | | | | | | | | | | | | (2154) $false
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | | CLOSE: (2154) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | End of split
% 58.48/9.21 | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | Case 2:
% 58.48/9.21 | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | (2155) ~ (all_24_7 = e13)
% 58.48/9.21 | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | REDUCE: (464), (2155) imply:
% 58.48/9.21 | | | | | | | | | | | (2156) ~ (all_12_6 = e13)
% 58.48/9.21 | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | BETA: splitting (202) gives:
% 58.48/9.21 | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | Case 1:
% 58.48/9.21 | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | (2157) all_16_9 = e13
% 58.48/9.21 | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | COMBINE_EQS: (712), (2157) imply:
% 58.48/9.21 | | | | | | | | | | | | (2158) all_12_6 = e13
% 58.48/9.21 | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | REDUCE: (2156), (2158) imply:
% 58.48/9.21 | | | | | | | | | | | | (2159) $false
% 58.48/9.21 | | | | | | | | | | | |
% 58.48/9.21 | | | | | | | | | | | | CLOSE: (2159) is inconsistent.
% 58.48/9.21 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | (2160) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | BETA: splitting (2160) gives:
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | (2161) all_16_9 = e12
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | COMBINE_EQS: (712), (2161) imply:
% 58.48/9.22 | | | | | | | | | | | | | (2162) all_12_6 = e12
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | REDUCE: (1041), (2162) imply:
% 58.48/9.22 | | | | | | | | | | | | | (2163) $false
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | CLOSE: (2163) is inconsistent.
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | (2164) all_16_9 = e11 | all_16_9 = e10
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | BETA: splitting (2164) gives:
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | (2165) all_16_9 = e11
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | COMBINE_EQS: (712), (2165) imply:
% 58.48/9.22 | | | | | | | | | | | | | | (2166) all_12_6 = e11
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | REDUCE: (78), (2166) imply:
% 58.48/9.22 | | | | | | | | | | | | | | (2167) ~ (all_12_5 = e11)
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | REDUCE: (74), (2166) imply:
% 58.48/9.22 | | | | | | | | | | | | | | (2168) ~ (all_12_7 = e11)
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | SIMP: (2168) implies:
% 58.48/9.22 | | | | | | | | | | | | | | (2169) ~ (all_12_7 = e11)
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | (2170) all_16_13 = e13
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2170) imply:
% 58.48/9.22 | | | | | | | | | | | | | | | (2171) all_12_7 = e13
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | REDUCE: (1051), (2171) imply:
% 58.48/9.22 | | | | | | | | | | | | | | | (2172) $false
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | CLOSE: (2172) is inconsistent.
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | (2173) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 58.48/9.22 | | | | | | | | | | | | | | | e10
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | BETA: splitting (2173) gives:
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | (2174) all_16_13 = e12
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2174) imply:
% 58.48/9.22 | | | | | | | | | | | | | | | | (2175) all_12_7 = e12
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | REDUCE: (77), (2175) imply:
% 58.48/9.22 | | | | | | | | | | | | | | | | (2176) ~ (all_12_5 = e12)
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | | (2177) all_16_5 = e13
% 58.48/9.22 | | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (710), (985), (2177) are inconsistent by sub-proof
% 58.48/9.22 | | | | | | | | | | | | | | | | | #28.
% 58.48/9.22 | | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | | (2178) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.48/9.22 | | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (710), (838), (2167), (2176), (2178) are
% 58.48/9.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 58.48/9.22 | | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | (2179) all_16_13 = e11 | all_16_13 = e10
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | | REF_CLOSE: (714), (1086), (2169), (2179) are inconsistent by
% 58.48/9.22 | | | | | | | | | | | | | | | | sub-proof #8.
% 58.48/9.22 | | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | (2180) all_16_9 = e10
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | COMBINE_EQS: (712), (2180) imply:
% 58.48/9.22 | | | | | | | | | | | | | | (2181) all_12_6 = e10
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | REDUCE: (1084), (2181) imply:
% 58.48/9.22 | | | | | | | | | | | | | | (2182) $false
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | | CLOSE: (2182) is inconsistent.
% 58.48/9.22 | | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | End of split
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | End of split
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | End of split
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | End of split
% 58.48/9.22 | | | | | |
% 58.48/9.22 | | | | | Case 2:
% 58.48/9.22 | | | | | |
% 58.48/9.22 | | | | | | (2183) all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 58.48/9.22 | | | | | |
% 58.48/9.22 | | | | | | BETA: splitting (2183) gives:
% 58.48/9.22 | | | | | |
% 58.48/9.22 | | | | | | Case 1:
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | (2184) all_16_3 = e12
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | COMBINE_EQS: (724), (2184) imply:
% 58.48/9.22 | | | | | | | (2185) all_12_12 = e12
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | REDUCE: (851), (2185) imply:
% 58.48/9.22 | | | | | | | (2186) $false
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | CLOSE: (2186) is inconsistent.
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | Case 2:
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | (2187) ~ (all_16_3 = e12)
% 58.48/9.22 | | | | | | | (2188) all_16_3 = e11 | all_16_3 = e10
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | BETA: splitting (2188) gives:
% 58.48/9.22 | | | | | | |
% 58.48/9.22 | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | (2189) all_16_3 = e11
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | COMBINE_EQS: (724), (2189) imply:
% 58.48/9.22 | | | | | | | | (2190) all_12_12 = e11
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | REDUCE: (832), (2190) imply:
% 58.48/9.22 | | | | | | | | (2191) $false
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | CLOSE: (2191) is inconsistent.
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | (2192) all_16_3 = e10
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | COMBINE_EQS: (724), (2192) imply:
% 58.48/9.22 | | | | | | | | (2193) all_12_12 = e10
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | COMBINE_EQS: (659), (2193) imply:
% 58.48/9.22 | | | | | | | | (2194) all_20_25 = e10
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | REDUCE: (79), (2193) imply:
% 58.48/9.22 | | | | | | | | (2195) ~ (all_12_4 = e10)
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | REDUCE: (58), (2193) imply:
% 58.48/9.22 | | | | | | | | (2196) ~ (all_12_14 = e10)
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | SIMP: (2196) implies:
% 58.48/9.22 | | | | | | | | (2197) ~ (all_12_14 = e10)
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | REDUCE: (851), (2193) imply:
% 58.48/9.22 | | | | | | | | (2198) ~ (e12 = e10)
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | SIMP: (2198) implies:
% 58.48/9.22 | | | | | | | | (2199) ~ (e12 = e10)
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | BETA: splitting (208) gives:
% 58.48/9.22 | | | | | | | |
% 58.48/9.22 | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | (2200) all_16_1 = e13
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | COMBINE_EQS: (708), (2200) imply:
% 58.48/9.22 | | | | | | | | | (2201) all_12_4 = e13
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | SIMP: (2201) implies:
% 58.48/9.22 | | | | | | | | | (2202) all_12_4 = e13
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | REDUCE: (83), (2202) imply:
% 58.48/9.22 | | | | | | | | | (2203) ~ (all_12_5 = e13)
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | REDUCE: (82), (2202) imply:
% 58.48/9.22 | | | | | | | | | (2204) ~ (all_12_6 = e13)
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | SIMP: (2204) implies:
% 58.48/9.22 | | | | | | | | | (2205) ~ (all_12_6 = e13)
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | REDUCE: (843), (2202) imply:
% 58.48/9.22 | | | | | | | | | (2206) ~ (e13 = e12)
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | REDUCE: (830), (2202) imply:
% 58.48/9.22 | | | | | | | | | (2207) ~ (e13 = e11)
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | REDUCE: (917), (2202) imply:
% 58.48/9.22 | | | | | | | | | (2208) op1(e13, e13) = all_20_8
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | BETA: splitting (326) gives:
% 58.48/9.22 | | | | | | | | |
% 58.48/9.22 | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | (2209) all_24_6 = e13
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | COMBINE_EQS: (1037), (2209) imply:
% 58.48/9.22 | | | | | | | | | | (2210) e13 = e12
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | REDUCE: (2206), (2210) imply:
% 58.48/9.22 | | | | | | | | | | (2211) $false
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | CLOSE: (2211) is inconsistent.
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | (2212) all_24_7 = e13 | all_24_8 = e13 | all_24_11 = e13
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | BETA: splitting (2212) gives:
% 58.48/9.22 | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | (2213) all_24_7 = e13
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | COMBINE_EQS: (464), (2213) imply:
% 58.48/9.22 | | | | | | | | | | | (2214) all_12_6 = e13
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | SIMP: (2214) implies:
% 58.48/9.22 | | | | | | | | | | | (2215) all_12_6 = e13
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | REDUCE: (2205), (2215) imply:
% 58.48/9.22 | | | | | | | | | | | (2216) $false
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | CLOSE: (2216) is inconsistent.
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | (2217) all_24_8 = e13 | all_24_11 = e13
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | BETA: splitting (2217) gives:
% 58.48/9.22 | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | (2218) all_24_8 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | COMBINE_EQS: (752), (2218) imply:
% 58.48/9.22 | | | | | | | | | | | | (2219) all_12_10 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | SIMP: (2219) implies:
% 58.48/9.22 | | | | | | | | | | | | (2220) all_12_10 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | REDUCE: (987), (2220) imply:
% 58.48/9.22 | | | | | | | | | | | | (2221) $false
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | CLOSE: (2221) is inconsistent.
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | Case 2:
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | (2222) all_24_11 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | COMBINE_EQS: (598), (2222) imply:
% 58.48/9.22 | | | | | | | | | | | | (2223) all_12_14 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | SIMP: (2223) implies:
% 58.48/9.22 | | | | | | | | | | | | (2224) all_12_14 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | COMBINE_EQS: (663), (2224) imply:
% 58.48/9.22 | | | | | | | | | | | | (2225) all_20_29 = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | REDUCE: (56), (2224) imply:
% 58.48/9.22 | | | | | | | | | | | | (2226) ~ (all_12_13 = e13)
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | REDUCE: (2197), (2224) imply:
% 58.48/9.22 | | | | | | | | | | | | (2227) ~ (e13 = e10)
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | REDUCE: (104), (2224) imply:
% 58.48/9.22 | | | | | | | | | | | | (2228) op1(e11, e10) = e13
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | BETA: splitting (268) gives:
% 58.48/9.22 | | | | | | | | | | | |
% 58.48/9.22 | | | | | | | | | | | | Case 1:
% 58.48/9.22 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | (2229) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 58.48/9.23 | | | | | | | | | | | | | & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 58.48/9.23 | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 =
% 58.48/9.23 | | | | | | | | | | | | | e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.48/9.23 | | | | | | | | | | | | | e11)) | (all_20_5 = e11 & all_20_17 = e11 & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_1 = e13) & ~ (all_20_11 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 58.48/9.23 | | | | | | | | | | | | | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)) | (all_20_7 = e10
% 58.48/9.23 | | | | | | | | | | | | | & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e13))
% 58.48/9.23 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | BETA: splitting (2229) gives:
% 58.48/9.23 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | (2230) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 58.48/9.23 | | | | | | | | | | | | | | & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 58.48/9.23 | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 =
% 58.48/9.23 | | | | | | | | | | | | | | e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.48/9.23 | | | | | | | | | | | | | | e11))
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | REF_CLOSE: (494), (645), (2199), (2206), (2227), (2230) are
% 58.48/9.23 | | | | | | | | | | | | | | inconsistent by sub-proof #40.
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | (2231) (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)) | (all_20_7 = e13
% 58.48/9.23 | | | | | | | | | | | | | | & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_7 = e10 & all_20_25
% 58.48/9.23 | | | | | | | | | | | | | | = e10 & ~ (all_20_1 = e13) & ~ (all_20_11 =
% 58.48/9.23 | | | | | | | | | | | | | | e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.48/9.23 | | | | | | | | | | | | | | e13))
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | BETA: splitting (2231) gives:
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | (2232) all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | REF_CLOSE: (494), (1044), (2232) are inconsistent by
% 58.48/9.23 | | | | | | | | | | | | | | | sub-proof #39.
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | (2233) (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)) | (all_20_7 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.23 | | | | | | | | | | | | | | | (all_20_31 = e13))
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | BETA: splitting (2233) gives:
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | (2234) all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | ALPHA: (2234) implies:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2235) all_20_25 = e13
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (2194), (2235) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2236) e13 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | SIMP: (2236) implies:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2237) e13 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (2227), (2237) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2238) $false
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | CLOSE: (2238) is inconsistent.
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | (2239) all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e13) & ~ (all_20_31 = e13)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | ALPHA: (2239) implies:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2240) all_20_7 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (1049), (2240) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2241) e13 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (2227), (2241) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2242) $false
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | CLOSE: (2242) is inconsistent.
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | End of split
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | End of split
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | End of split
% 58.48/9.23 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | (2243) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1
% 58.48/9.23 | | | | | | | | | | | | | = e11) & ~ (all_20_11 = e11) & ~ (all_20_21
% 58.48/9.23 | | | | | | | | | | | | | = e11) & ~ (all_20_31 = e11)) | (all_20_13 =
% 58.48/9.23 | | | | | | | | | | | | | e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e12)) | (all_20_15 = e12 &
% 58.48/9.23 | | | | | | | | | | | | | all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_15 = e10 &
% 58.48/9.23 | | | | | | | | | | | | | all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e12)) | (all_20_23 = e11 &
% 58.48/9.23 | | | | | | | | | | | | | all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.48/9.23 | | | | | | | | | | | | | all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.48/9.23 | | | | | | | | | | | | | (all_20_31 = e11))
% 58.48/9.23 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | BETA: splitting (2243) gives:
% 58.48/9.23 | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | (2244) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1
% 58.48/9.23 | | | | | | | | | | | | | | = e11) & ~ (all_20_11 = e11) & ~ (all_20_21
% 58.48/9.23 | | | | | | | | | | | | | | = e11) & ~ (all_20_31 = e11)) | (all_20_13 =
% 58.48/9.23 | | | | | | | | | | | | | | e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_31 = e12)) | (all_20_15 = e12 &
% 58.48/9.23 | | | | | | | | | | | | | | all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | | (all_20_31 = e10))
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | BETA: splitting (2244) gives:
% 58.48/9.23 | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | (2245) all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | REF_CLOSE: (984), (2206), (2245) are inconsistent by
% 58.48/9.23 | | | | | | | | | | | | | | | sub-proof #37.
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | (2246) (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1
% 58.48/9.23 | | | | | | | | | | | | | | | = e12) & ~ (all_20_11 = e12) & ~ (all_20_21
% 58.48/9.23 | | | | | | | | | | | | | | | = e12) & ~ (all_20_31 = e12)) | (all_20_15 =
% 58.48/9.23 | | | | | | | | | | | | | | | e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.23 | | | | | | | | | | | | | | | (all_20_31 = e10))
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | BETA: splitting (2246) gives:
% 58.48/9.23 | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | (2247) all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REF_CLOSE: (984), (2207), (2247) are inconsistent by
% 58.48/9.23 | | | | | | | | | | | | | | | | sub-proof #36.
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | (2248) all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.23 | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2249) all_20_27 = e12
% 58.48/9.23 | | | | | | | | | | | | | | | | (2250) all_20_15 = e12
% 58.48/9.23 | | | | | | | | | | | | | | | | (2251) ~ (all_20_11 = e10)
% 58.48/9.23 | | | | | | | | | | | | | | | | (2252) ~ (all_20_1 = e10)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (2250) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2253) all_12_7 = e12
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2249) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2254) all_12_13 = e12
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | SIMP: (2254) implies:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2255) all_12_13 = e12
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (641), (2252) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2256) ~ (e11 = e10)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (75), (2255) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2257) ~ (all_12_5 = e12)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (2226), (2255) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2258) ~ (e13 = e12)
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (926), (2253) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2259) op1(e10, e12) = all_20_14
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | REDUCE: (102), (2253) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | (2260) op1(e10, e12) = e12
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 58.48/9.23 | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | (2261) all_16_5 = e13
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (2261) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | | (2262) all_12_5 = e13
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | REDUCE: (985), (2262) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | | (2263) $false
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | CLOSE: (2263) is inconsistent.
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | (2264) ~ (all_16_5 = e13)
% 58.48/9.23 | | | | | | | | | | | | | | | | | (2265) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 58.48/9.23 | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | (2266) all_16_9 = e13
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2266) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | (2267) all_12_6 = e13
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | REDUCE: (2205), (2267) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | (2268) $false
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | CLOSE: (2268) is inconsistent.
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | (2269) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 58.48/9.23 | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | (2270) all_24_2 = e11
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2270) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | (2271) e11 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | SIMP: (2271) implies:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | (2272) e11 = e10
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | REDUCE: (2256), (2272) imply:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | (2273) $false
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | CLOSE: (2273) is inconsistent.
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | (2274) all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (2269) gives:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.23 | | | | | | | | | | | | | | | | | | | | (2275) all_16_9 = e12
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2275) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | (2276) all_12_6 = e12
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (1041), (2276) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | (2277) $false
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | CLOSE: (2277) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_16_9 = e12)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | (2279) all_16_9 = e11 | all_16_9 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2274) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2280) all_24_3 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (2280) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2281) all_12_5 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2281) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2282) ~ (all_12_6 = e11)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | SIMP: (2282) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2283) ~ (all_12_6 = e11)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (985), (2281) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2284) ~ (e13 = e11)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (2281) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2285) op1(e12, e11) = all_20_10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2279) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2286) all_16_9 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2286) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2287) all_12_6 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2287) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2288) all_12_6 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2283), (2288) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2289) $false
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2289) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2290) all_16_9 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2290) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2291) all_12_6 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2292) all_12_6 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (923), (2292) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2293) op1(e11, e10) = all_20_12
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e12, all_20_14, e12, e10,
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (2259), (2260) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2294) all_20_14 = e12
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e13, all_20_12, e10, e11,
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (2228), (2293) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2295) all_20_12 = e13
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e13, all_20_10, e11, e12,
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (989), (2285) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2296) all_20_10 = e13
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e11, all_20_8, e13, e13,
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (2208) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | (2297) all_20_8 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | (2298) all_20_8 = e13
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2297), (2298) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | (2299) e13 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2299) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | (2300) e13 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2207), (2300) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | (2301) $false
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2301) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | (2302) ~ (all_20_8 = e13)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | (2303) all_20_10 = e12 | all_20_12 = e11 | all_20_14 =
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2303) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_20_10 = e12
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2296), (2304) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | (2305) e13 = e12
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2206), (2305) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | (2306) $false
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2306) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_20_12 = e11 | all_20_14 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2307) gives:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_20_12 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2295), (2308) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2309) e13 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2207), (2309) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2310) $false
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2310) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_20_14 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2294), (2311) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2312) e12 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2312) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2313) e12 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2199), (2313) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | (2314) $false
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2314) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2315) ~ (all_24_3 = e11)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (2315) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | (2316) ~ (all_12_5 = e11)
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (710), (838), (2257), (2265), (2316) are
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | (2317) (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1
% 58.48/9.24 | | | | | | | | | | | | | | = e12) & ~ (all_20_11 = e12) & ~ (all_20_21
% 58.48/9.24 | | | | | | | | | | | | | | = e12) & ~ (all_20_31 = e12)) | (all_20_23 =
% 58.48/9.24 | | | | | | | | | | | | | | e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.24 | | | | | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.24 | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.48/9.24 | | | | | | | | | | | | | | all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.48/9.24 | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.48/9.24 | | | | | | | | | | | | | | (all_20_31 = e11))
% 58.48/9.24 | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | BETA: splitting (2317) gives:
% 58.48/9.24 | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | (2318) all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 =
% 58.48/9.24 | | | | | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.24 | | | | | | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | ALPHA: (2318) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | (2319) all_20_27 = e10
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2319) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | (2320) all_12_13 = e10
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | SIMP: (2320) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | (2321) all_12_13 = e10
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | REDUCE: (842), (2321) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | (2322) $false
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | CLOSE: (2322) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | (2323) (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1
% 58.48/9.24 | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e10) & ~ (all_20_21
% 58.48/9.24 | | | | | | | | | | | | | | | = e10) & ~ (all_20_31 = e10)) | (all_20_23 =
% 58.48/9.24 | | | | | | | | | | | | | | | e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.48/9.24 | | | | | | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.48/9.24 | | | | | | | | | | | | | | | (all_20_31 = e11))
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | BETA: splitting (2323) gives:
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | (2324) all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 =
% 58.48/9.24 | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.24 | | | | | | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | ALPHA: (2324) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | (2325) all_20_29 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (2225), (2325) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | (2326) e13 = e11
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | REDUCE: (2207), (2326) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | (2327) $false
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | CLOSE: (2327) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | (2328) all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 =
% 58.48/9.24 | | | | | | | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.48/9.24 | | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | ALPHA: (2328) implies:
% 58.48/9.24 | | | | | | | | | | | | | | | | (2329) all_20_29 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (2225), (2329) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | (2330) e13 = e10
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | REDUCE: (2227), (2330) imply:
% 58.48/9.24 | | | | | | | | | | | | | | | | (2331) $false
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | | CLOSE: (2331) is inconsistent.
% 58.48/9.24 | | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | | |
% 58.48/9.24 | | | | | | | | | | | | End of split
% 58.48/9.24 | | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | End of split
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | End of split
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | End of split
% 58.48/9.25 | | | | | | | | |
% 58.48/9.25 | | | | | | | | Case 2:
% 58.48/9.25 | | | | | | | | |
% 58.48/9.25 | | | | | | | | | (2332) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 58.48/9.25 | | | | | | | | |
% 58.48/9.25 | | | | | | | | | BETA: splitting (2332) gives:
% 58.48/9.25 | | | | | | | | |
% 58.48/9.25 | | | | | | | | | Case 1:
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | (2333) all_16_1 = e12
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | REF_CLOSE: (708), (843), (2333) are inconsistent by sub-proof
% 58.48/9.25 | | | | | | | | | | #30.
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | Case 2:
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | (2334) all_16_1 = e11 | all_16_1 = e10
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | BETA: splitting (2334) gives:
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | Case 1:
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | (2335) all_16_1 = e11
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | REF_CLOSE: (708), (830), (2335) are inconsistent by sub-proof
% 58.48/9.25 | | | | | | | | | | | #29.
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | Case 2:
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | (2336) all_16_1 = e10
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | COMBINE_EQS: (708), (2336) imply:
% 58.48/9.25 | | | | | | | | | | | (2337) all_12_4 = e10
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | SIMP: (2337) implies:
% 58.48/9.25 | | | | | | | | | | | (2338) all_12_4 = e10
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | REDUCE: (2195), (2338) imply:
% 58.48/9.25 | | | | | | | | | | | (2339) $false
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | | CLOSE: (2339) is inconsistent.
% 58.48/9.25 | | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | | End of split
% 58.48/9.25 | | | | | | | | | |
% 58.48/9.25 | | | | | | | | | End of split
% 58.48/9.25 | | | | | | | | |
% 58.48/9.25 | | | | | | | | End of split
% 58.48/9.25 | | | | | | | |
% 58.48/9.25 | | | | | | | End of split
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | End of split
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | End of split
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | Case 2:
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | (2340) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | REF_CLOSE: (706), (828), (836), (1039), (2340) are inconsistent by
% 58.48/9.25 | | | | | sub-proof #5.
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | End of split
% 58.48/9.25 | | | |
% 58.48/9.25 | | | Case 2:
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | (2341) all_16_8 = e11 | all_16_8 = e10
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | REF_CLOSE: (704), (826), (834), (2341) are inconsistent by sub-proof #4.
% 58.48/9.25 | | | |
% 58.48/9.25 | | | End of split
% 58.48/9.25 | | |
% 58.48/9.25 | | End of split
% 58.48/9.25 | |
% 58.48/9.25 | Case 2:
% 58.48/9.25 | |
% 58.48/9.25 | | (2342) all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10
% 58.48/9.25 | |
% 58.48/9.25 | | BETA: splitting (2342) gives:
% 58.48/9.25 | |
% 58.48/9.25 | | Case 1:
% 58.48/9.25 | | |
% 58.48/9.25 | | | (2343) all_16_6 = e12
% 58.48/9.25 | | |
% 58.48/9.25 | | | COMBINE_EQS: (718), (2343) imply:
% 58.48/9.25 | | | (2344) all_12_9 = e12
% 58.48/9.25 | | |
% 58.48/9.25 | | | SIMP: (2344) implies:
% 58.48/9.25 | | | (2345) all_12_9 = e12
% 58.48/9.25 | | |
% 58.48/9.25 | | | REDUCE: (845), (2345) imply:
% 58.48/9.25 | | | (2346) $false
% 58.48/9.25 | | |
% 58.48/9.25 | | | CLOSE: (2346) is inconsistent.
% 58.48/9.25 | | |
% 58.48/9.25 | | Case 2:
% 58.48/9.25 | | |
% 58.48/9.25 | | | (2347) all_16_6 = e11 | all_16_6 = e10
% 58.48/9.25 | | |
% 58.48/9.25 | | | BETA: splitting (2347) gives:
% 58.48/9.25 | | |
% 58.48/9.25 | | | Case 1:
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | (2348) all_16_6 = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | COMBINE_EQS: (718), (2348) imply:
% 58.48/9.25 | | | | (2349) all_12_9 = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | SIMP: (2349) implies:
% 58.48/9.25 | | | | (2350) all_12_9 = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | COMBINE_EQS: (651), (2350) imply:
% 58.48/9.25 | | | | (2351) all_20_19 = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | COMBINE_EQS: (588), (2350) imply:
% 58.48/9.25 | | | | (2352) all_24_5 = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | REDUCE: (76), (2350) imply:
% 58.48/9.25 | | | | (2353) ~ (all_12_5 = e11)
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | REDUCE: (64), (2350) imply:
% 58.48/9.25 | | | | (2354) ~ (all_12_11 = e11)
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | SIMP: (2354) implies:
% 58.48/9.25 | | | | (2355) ~ (all_12_11 = e11)
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | REDUCE: (63), (2350) imply:
% 58.48/9.25 | | | | (2356) ~ (all_12_13 = e11)
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | SIMP: (2356) implies:
% 58.48/9.25 | | | | (2357) ~ (all_12_13 = e11)
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | REDUCE: (921), (2350) imply:
% 58.48/9.25 | | | | (2358) op1(e12, e11) = all_20_18
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | REDUCE: (109), (2350) imply:
% 58.48/9.25 | | | | (2359) op1(e12, e11) = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | GROUND_INST: instantiating (26) with e11, all_20_18, e11, e12,
% 58.48/9.25 | | | | simplifying with (2358), (2359) gives:
% 58.48/9.25 | | | | (2360) all_20_18 = e11
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | BETA: splitting (203) gives:
% 58.48/9.25 | | | |
% 58.48/9.25 | | | | Case 1:
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | (2361) all_16_8 = e13
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | COMBINE_EQS: (704), (2361) imply:
% 58.48/9.25 | | | | | (2362) all_12_2 = e13
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | REDUCE: (90), (2362) imply:
% 58.48/9.25 | | | | | (2363) ~ (all_12_3 = e13)
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | SIMP: (2363) implies:
% 58.48/9.25 | | | | | (2364) ~ (all_12_3 = e13)
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | REDUCE: (834), (2362) imply:
% 58.48/9.25 | | | | | (2365) ~ (e13 = e10)
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | BETA: splitting (200) gives:
% 58.48/9.25 | | | | |
% 58.48/9.25 | | | | | Case 1:
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | (2366) all_16_12 = e13
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | COMBINE_EQS: (706), (2366) imply:
% 58.48/9.25 | | | | | | (2367) all_12_3 = e13
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | REDUCE: (2364), (2367) imply:
% 58.48/9.25 | | | | | | (2368) $false
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | CLOSE: (2368) is inconsistent.
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | Case 2:
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | (2369) ~ (all_16_12 = e13)
% 58.48/9.25 | | | | | | (2370) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | BETA: splitting (2370) gives:
% 58.48/9.25 | | | | | |
% 58.48/9.25 | | | | | | Case 1:
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | (2371) all_16_12 = e12
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | COMBINE_EQS: (706), (2371) imply:
% 58.48/9.25 | | | | | | | (2372) all_12_3 = e12
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | COMBINE_EQS: (665), (2372) imply:
% 58.48/9.25 | | | | | | | (2373) all_20_7 = e12
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | REDUCE: (86), (2372) imply:
% 58.48/9.25 | | | | | | | (2374) ~ (all_12_7 = e12)
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | SIMP: (2374) implies:
% 58.48/9.25 | | | | | | | (2375) ~ (all_12_7 = e12)
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | REDUCE: (2364), (2372) imply:
% 58.48/9.25 | | | | | | | (2376) ~ (e13 = e12)
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | SIMP: (2376) implies:
% 58.48/9.25 | | | | | | | (2377) ~ (e13 = e12)
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | REDUCE: (828), (2372) imply:
% 58.48/9.25 | | | | | | | (2378) ~ (e12 = e11)
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | REDUCE: (836), (2372) imply:
% 58.48/9.25 | | | | | | | (2379) ~ (e12 = e10)
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | BETA: splitting (268) gives:
% 58.48/9.25 | | | | | | |
% 58.48/9.25 | | | | | | | Case 1:
% 58.48/9.25 | | | | | | | |
% 58.48/9.25 | | | | | | | | (2380) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12)
% 58.48/9.25 | | | | | | | | & ~ (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.25 | | | | | | | | (all_20_31 = e12)) | (all_20_3 = e12 & all_20_9 =
% 58.48/9.25 | | | | | | | | e12 & ~ (all_20_1 = e13) & ~ (all_20_11 = e13) &
% 58.48/9.25 | | | | | | | | ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 58.48/9.25 | | | | | | | | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 =
% 58.48/9.25 | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11)
% 58.48/9.25 | | | | | | | | & ~ (all_20_31 = e11)) | (all_20_5 = e11 &
% 58.48/9.25 | | | | | | | | all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 58.48/9.25 | | | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.25 | | | | | | | | (all_20_31 = e13)) | (all_20_7 = e13 & all_20_25 =
% 58.48/9.25 | | | | | | | | e13 & ~ (all_20_1 = e10) & ~ (all_20_11 = e10) &
% 58.48/9.25 | | | | | | | | ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 58.48/9.25 | | | | | | | | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 =
% 58.48/9.25 | | | | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 = e13)
% 58.48/9.25 | | | | | | | | & ~ (all_20_31 = e13))
% 58.48/9.25 | | | | | | | |
% 58.48/9.25 | | | | | | | | REF_CLOSE: (494), (645), (2365), (2373), (2377), (2378), (2379),
% 58.48/9.25 | | | | | | | | (2380) are inconsistent by sub-proof #38.
% 58.48/9.25 | | | | | | | |
% 58.48/9.25 | | | | | | | Case 2:
% 58.48/9.25 | | | | | | | |
% 58.48/9.26 | | | | | | | | (2381) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 =
% 58.48/9.26 | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11)
% 58.48/9.26 | | | | | | | | & ~ (all_20_31 = e11)) | (all_20_13 = e11 &
% 58.48/9.26 | | | | | | | | all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.26 | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.26 | | | | | | | | (all_20_31 = e12)) | (all_20_15 = e12 & all_20_27 =
% 58.48/9.26 | | | | | | | | e12 & ~ (all_20_1 = e10) & ~ (all_20_11 = e10) &
% 58.48/9.26 | | | | | | | | ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 58.48/9.26 | | | | | | | | (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 =
% 58.48/9.26 | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 = e12)
% 58.48/9.26 | | | | | | | | & ~ (all_20_31 = e12)) | (all_20_23 = e11 &
% 58.48/9.26 | | | | | | | | all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.26 | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.26 | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 & all_20_29 =
% 58.48/9.26 | | | | | | | | e10 & ~ (all_20_1 = e11) & ~ (all_20_11 = e11) &
% 58.48/9.26 | | | | | | | | ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 58.48/9.26 | | | | | | | |
% 58.48/9.26 | | | | | | | | BETA: splitting (2381) gives:
% 58.48/9.26 | | | | | | | |
% 58.48/9.26 | | | | | | | | Case 1:
% 58.48/9.26 | | | | | | | | |
% 58.48/9.26 | | | | | | | | | (2382) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 =
% 58.48/9.26 | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.48/9.26 | | | | | | | | | e11) & ~ (all_20_31 = e11)) | (all_20_13 = e11
% 58.48/9.26 | | | | | | | | | & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.26 | | | | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.26 | | | | | | | | | (all_20_31 = e12)) | (all_20_15 = e12 & all_20_27
% 58.48/9.26 | | | | | | | | | = e12 & ~ (all_20_1 = e10) & ~ (all_20_11 = e10)
% 58.48/9.26 | | | | | | | | | & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 58.48/9.26 | | | | | | | | |
% 58.48/9.26 | | | | | | | | | BETA: splitting (2382) gives:
% 58.48/9.26 | | | | | | | | |
% 58.48/9.26 | | | | | | | | | Case 1:
% 58.48/9.26 | | | | | | | | | |
% 58.48/9.26 | | | | | | | | | | (2383) all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 =
% 58.48/9.26 | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.48/9.26 | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.48/9.26 | | | | | | | | | |
% 58.48/9.26 | | | | | | | | | | ALPHA: (2383) implies:
% 58.48/9.26 | | | | | | | | | | (2384) all_20_19 = e12
% 58.48/9.26 | | | | | | | | | |
% 58.48/9.26 | | | | | | | | | | COMBINE_EQS: (2351), (2384) imply:
% 58.48/9.26 | | | | | | | | | | (2385) e12 = e11
% 58.48/9.26 | | | | | | | | | |
% 58.48/9.26 | | | | | | | | | | REDUCE: (2378), (2385) imply:
% 58.48/9.26 | | | | | | | | | | (2386) $false
% 58.48/9.26 | | | | | | | | | |
% 58.48/9.26 | | | | | | | | | | CLOSE: (2386) is inconsistent.
% 58.48/9.26 | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | (2387) (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1
% 58.48/9.27 | | | | | | | | | | = e12) & ~ (all_20_11 = e12) & ~ (all_20_21
% 58.48/9.27 | | | | | | | | | | = e12) & ~ (all_20_31 = e12)) | (all_20_15 =
% 58.48/9.27 | | | | | | | | | | e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.48/9.27 | | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.27 | | | | | | | | | | (all_20_31 = e10))
% 58.48/9.27 | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | BETA: splitting (2387) gives:
% 58.48/9.27 | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | Case 1:
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | (2388) all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 =
% 58.48/9.27 | | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.27 | | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | ALPHA: (2388) implies:
% 58.48/9.27 | | | | | | | | | | | (2389) all_20_13 = e11
% 58.48/9.27 | | | | | | | | | | | (2390) ~ (all_20_11 = e12)
% 58.48/9.27 | | | | | | | | | | | (2391) ~ (all_20_1 = e12)
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | COMBINE_EQS: (655), (2389) imply:
% 58.48/9.27 | | | | | | | | | | | (2392) all_12_6 = e11
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | SIMP: (2392) implies:
% 58.48/9.27 | | | | | | | | | | | (2393) all_12_6 = e11
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | COMBINE_EQS: (464), (2393) imply:
% 58.48/9.27 | | | | | | | | | | | (2394) all_24_7 = e11
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | REDUCE: (641), (2391) imply:
% 58.48/9.27 | | | | | | | | | | | (2395) ~ (e12 = e11)
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | REDUCE: (646), (2390) imply:
% 58.48/9.27 | | | | | | | | | | | (2396) ~ (all_12_5 = e12)
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | BETA: splitting (206) gives:
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | Case 1:
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | (2397) all_16_5 = e13
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | COMBINE_EQS: (710), (2397) imply:
% 58.48/9.27 | | | | | | | | | | | | (2398) all_12_5 = e13
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | COMBINE_EQS: (481), (2398) imply:
% 58.48/9.27 | | | | | | | | | | | | (2399) all_24_3 = e13
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | BETA: splitting (329) gives:
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | Case 1:
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | (2400) all_24_1 = e12
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | COMBINE_EQS: (577), (2400) imply:
% 58.48/9.27 | | | | | | | | | | | | | (2401) all_12_4 = e12
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | REDUCE: (843), (2401) imply:
% 58.48/9.27 | | | | | | | | | | | | | (2402) $false
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | CLOSE: (2402) is inconsistent.
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | (2403) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | BETA: splitting (2403) gives:
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | Case 1:
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | (2404) all_24_3 = e12
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | COMBINE_EQS: (2399), (2404) imply:
% 58.48/9.27 | | | | | | | | | | | | | | (2405) e13 = e12
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | REDUCE: (2377), (2405) imply:
% 58.48/9.27 | | | | | | | | | | | | | | (2406) $false
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | CLOSE: (2406) is inconsistent.
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | (2407) all_24_7 = e12 | all_24_13 = e12
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | BETA: splitting (2407) gives:
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | Case 1:
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | (2408) all_24_7 = e12
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (2408) imply:
% 58.48/9.27 | | | | | | | | | | | | | | | (2409) e12 = e11
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | SIMP: (2409) implies:
% 58.48/9.27 | | | | | | | | | | | | | | | (2410) e12 = e11
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | REDUCE: (2378), (2410) imply:
% 58.48/9.27 | | | | | | | | | | | | | | | (2411) $false
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | CLOSE: (2411) is inconsistent.
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | (2412) all_24_13 = e12
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2412) imply:
% 58.48/9.27 | | | | | | | | | | | | | | | (2413) all_12_7 = e12
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | SIMP: (2413) implies:
% 58.48/9.27 | | | | | | | | | | | | | | | (2414) all_12_7 = e12
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | REDUCE: (2375), (2414) imply:
% 58.48/9.27 | | | | | | | | | | | | | | | (2415) $false
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | | CLOSE: (2415) is inconsistent.
% 58.48/9.27 | | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | | End of split
% 58.48/9.27 | | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | | End of split
% 58.48/9.27 | | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | End of split
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | (2416) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | | REF_CLOSE: (710), (838), (2353), (2396), (2416) are
% 58.48/9.27 | | | | | | | | | | | | inconsistent by sub-proof #6.
% 58.48/9.27 | | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | End of split
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | (2417) all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 =
% 58.48/9.27 | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.27 | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | | REF_CLOSE: (666), (2375), (2417) are inconsistent by
% 58.48/9.27 | | | | | | | | | | | sub-proof #35.
% 58.48/9.27 | | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | | End of split
% 58.48/9.27 | | | | | | | | | |
% 58.48/9.27 | | | | | | | | | End of split
% 58.48/9.27 | | | | | | | | |
% 58.48/9.27 | | | | | | | | Case 2:
% 58.48/9.27 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | (2418) (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 =
% 58.48/9.28 | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.28 | | | | | | | | | e12) & ~ (all_20_31 = e12)) | (all_20_23 = e11
% 58.48/9.28 | | | | | | | | | & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.28 | | | | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.28 | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 & all_20_29
% 58.48/9.28 | | | | | | | | | = e10 & ~ (all_20_1 = e11) & ~ (all_20_11 = e11)
% 58.48/9.28 | | | | | | | | | & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | BETA: splitting (2418) gives:
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | (2419) all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 =
% 58.48/9.28 | | | | | | | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 =
% 58.48/9.28 | | | | | | | | | | e12) & ~ (all_20_31 = e12)
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | REF_CLOSE: (661), (842), (2419) are inconsistent by sub-proof
% 58.48/9.28 | | | | | | | | | | #34.
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | (2420) (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1
% 58.48/9.28 | | | | | | | | | | = e10) & ~ (all_20_11 = e10) & ~ (all_20_21
% 58.48/9.28 | | | | | | | | | | = e10) & ~ (all_20_31 = e10)) | (all_20_23 =
% 58.48/9.28 | | | | | | | | | | e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.48/9.28 | | | | | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.48/9.28 | | | | | | | | | | (all_20_31 = e11))
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | BETA: splitting (2420) gives:
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | (2421) all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 =
% 58.48/9.28 | | | | | | | | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 =
% 58.48/9.28 | | | | | | | | | | | e10) & ~ (all_20_31 = e10)
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | ALPHA: (2421) implies:
% 58.48/9.28 | | | | | | | | | | | (2422) all_20_23 = e11
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | COMBINE_EQS: (668), (2422) imply:
% 58.48/9.28 | | | | | | | | | | | (2423) all_12_11 = e11
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | REDUCE: (2355), (2423) imply:
% 58.48/9.28 | | | | | | | | | | | (2424) $false
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | CLOSE: (2424) is inconsistent.
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | (2425) all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 =
% 58.48/9.28 | | | | | | | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.48/9.28 | | | | | | | | | | | e11) & ~ (all_20_31 = e11)
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | ALPHA: (2425) implies:
% 58.48/9.28 | | | | | | | | | | | (2426) ~ (all_20_1 = e11)
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | REDUCE: (641), (2426) imply:
% 58.48/9.28 | | | | | | | | | | | (2427) $false
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | CLOSE: (2427) is inconsistent.
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | End of split
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | End of split
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | End of split
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | End of split
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | Case 2:
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | (2428) all_16_12 = e11 | all_16_12 = e10
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | REF_CLOSE: (706), (828), (836), (2428) are inconsistent by
% 58.48/9.28 | | | | | | | sub-proof #31.
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | End of split
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | End of split
% 58.48/9.28 | | | | |
% 58.48/9.28 | | | | Case 2:
% 58.48/9.28 | | | | |
% 58.48/9.28 | | | | | (2429) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 58.48/9.28 | | | | |
% 58.48/9.28 | | | | | BETA: splitting (2429) gives:
% 58.48/9.28 | | | | |
% 58.48/9.28 | | | | | Case 1:
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | (2430) all_16_8 = e12
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | COMBINE_EQS: (704), (2430) imply:
% 58.48/9.28 | | | | | | (2431) all_12_2 = e12
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | REDUCE: (90), (2431) imply:
% 58.48/9.28 | | | | | | (2432) ~ (all_12_3 = e12)
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | SIMP: (2432) implies:
% 58.48/9.28 | | | | | | (2433) ~ (all_12_3 = e12)
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | REDUCE: (826), (2431) imply:
% 58.48/9.28 | | | | | | (2434) ~ (e12 = e11)
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | REDUCE: (107), (2431) imply:
% 58.48/9.28 | | | | | | (2435) op1(e11, e13) = e12
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | BETA: splitting (200) gives:
% 58.48/9.28 | | | | | |
% 58.48/9.28 | | | | | | Case 1:
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | (2436) all_16_12 = e13
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | COMBINE_EQS: (706), (2436) imply:
% 58.48/9.28 | | | | | | | (2437) all_12_3 = e13
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | COMBINE_EQS: (665), (2437) imply:
% 58.48/9.28 | | | | | | | (2438) all_20_7 = e13
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | REDUCE: (86), (2437) imply:
% 58.48/9.28 | | | | | | | (2439) ~ (all_12_7 = e13)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | SIMP: (2439) implies:
% 58.48/9.28 | | | | | | | (2440) ~ (all_12_7 = e13)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | REDUCE: (85), (2437) imply:
% 58.48/9.28 | | | | | | | (2441) ~ (all_12_11 = e13)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | SIMP: (2441) implies:
% 58.48/9.28 | | | | | | | (2442) ~ (all_12_11 = e13)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | REDUCE: (84), (2437) imply:
% 58.48/9.28 | | | | | | | (2443) ~ (all_12_15 = e13)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | SIMP: (2443) implies:
% 58.48/9.28 | | | | | | | (2444) ~ (all_12_15 = e13)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | REDUCE: (2433), (2437) imply:
% 58.48/9.28 | | | | | | | (2445) ~ (e13 = e12)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | REDUCE: (828), (2437) imply:
% 58.48/9.28 | | | | | | | (2446) ~ (e13 = e11)
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | BETA: splitting (198) gives:
% 58.48/9.28 | | | | | | |
% 58.48/9.28 | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | | (2447) all_16_14 = e13
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | | REF_CLOSE: (722), (2442), (2447) are inconsistent by sub-proof
% 58.48/9.28 | | | | | | | | #26.
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | | (2448) ~ (all_16_14 = e13)
% 58.48/9.28 | | | | | | | | (2449) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | | BETA: splitting (2449) gives:
% 58.48/9.28 | | | | | | | |
% 58.48/9.28 | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | (2450) all_16_14 = e12
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | REF_CLOSE: (722), (849), (2450) are inconsistent by sub-proof
% 58.48/9.28 | | | | | | | | | #20.
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | (2451) ~ (all_16_14 = e12)
% 58.48/9.28 | | | | | | | | | (2452) all_16_14 = e11 | all_16_14 = e10
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | BETA: splitting (327) gives:
% 58.48/9.28 | | | | | | | | |
% 58.48/9.28 | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | (2453) all_24_4 = e13
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | COMBINE_EQS: (754), (2453) imply:
% 58.48/9.28 | | | | | | | | | | (2454) e13 = e12
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | SIMP: (2454) implies:
% 58.48/9.28 | | | | | | | | | | (2455) e13 = e12
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | REDUCE: (2445), (2455) imply:
% 58.48/9.28 | | | | | | | | | | (2456) $false
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | CLOSE: (2456) is inconsistent.
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | (2457) all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | BETA: splitting (2457) gives:
% 58.48/9.28 | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | (2458) all_24_5 = e13
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | COMBINE_EQS: (2352), (2458) imply:
% 58.48/9.28 | | | | | | | | | | | (2459) e13 = e11
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | REDUCE: (2446), (2459) imply:
% 58.48/9.28 | | | | | | | | | | | (2460) $false
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | CLOSE: (2460) is inconsistent.
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | (2461) all_24_8 = e13 | all_24_14 = e13
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | BETA: splitting (2461) gives:
% 58.48/9.28 | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | (2462) all_24_8 = e13
% 58.48/9.28 | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | COMBINE_EQS: (752), (2462) imply:
% 58.48/9.28 | | | | | | | | | | | | (2463) all_12_10 = e13
% 58.48/9.28 | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | SIMP: (2463) implies:
% 58.48/9.28 | | | | | | | | | | | | (2464) all_12_10 = e13
% 58.48/9.28 | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | REDUCE: (924), (2464) imply:
% 58.48/9.28 | | | | | | | | | | | | (2465) op1(e11, e13) = all_20_20
% 58.48/9.28 | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | BETA: splitting (2452) gives:
% 58.48/9.28 | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | (2466) all_16_14 = e11
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | REF_CLOSE: (722), (2355), (2466) are inconsistent by
% 58.48/9.28 | | | | | | | | | | | | | sub-proof #19.
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | (2467) all_16_14 = e10
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | COMBINE_EQS: (722), (2467) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2468) all_12_11 = e10
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | SIMP: (2468) implies:
% 58.48/9.28 | | | | | | | | | | | | | (2469) all_12_11 = e10
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | COMBINE_EQS: (668), (2469) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2470) all_20_23 = e10
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | REDUCE: (71), (2469) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2471) ~ (all_12_7 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | REDUCE: (60), (2469) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2472) ~ (all_12_15 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | SIMP: (2472) implies:
% 58.48/9.28 | | | | | | | | | | | | | (2473) ~ (all_12_15 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | REDUCE: (2442), (2469) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2474) ~ (e13 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | SIMP: (2474) implies:
% 58.48/9.28 | | | | | | | | | | | | | (2475) ~ (e13 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | REDUCE: (849), (2469) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2476) ~ (e12 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | SIMP: (2476) implies:
% 58.48/9.28 | | | | | | | | | | | | | (2477) ~ (e12 = e10)
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | REDUCE: (927), (2469) imply:
% 58.48/9.28 | | | | | | | | | | | | | (2478) op1(e10, e10) = all_20_22
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_12_15, all_20_22, e10,
% 58.48/9.28 | | | | | | | | | | | | | e10, simplifying with (100), (2478) gives:
% 58.48/9.28 | | | | | | | | | | | | | (2479) all_20_22 = all_12_15
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e12, all_20_20, e13, e11,
% 58.48/9.28 | | | | | | | | | | | | | simplifying with (2435), (2465) gives:
% 58.48/9.28 | | | | | | | | | | | | | (2480) all_20_20 = e12
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | BETA: splitting (269) gives:
% 58.48/9.28 | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | (2481) all_20_16 = e13
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | COMBINE_EQS: (930), (2481) imply:
% 58.48/9.28 | | | | | | | | | | | | | | (2482) all_12_4 = e13
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | REDUCE: (83), (2482) imply:
% 58.48/9.28 | | | | | | | | | | | | | | (2483) ~ (all_12_5 = e13)
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | SIMP: (2483) implies:
% 58.48/9.28 | | | | | | | | | | | | | | (2484) ~ (all_12_5 = e13)
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | REDUCE: (79), (2482) imply:
% 58.48/9.28 | | | | | | | | | | | | | | (2485) ~ (all_12_12 = e13)
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | SIMP: (2485) implies:
% 58.48/9.28 | | | | | | | | | | | | | | (2486) ~ (all_12_12 = e13)
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 58.48/9.28 | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | (2487) all_16_5 = e13
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | COMBINE_EQS: (710), (2487) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | (2488) all_12_5 = e13
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | REDUCE: (2484), (2488) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | (2489) $false
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | CLOSE: (2489) is inconsistent.
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | (2490) ~ (all_16_5 = e13)
% 58.48/9.28 | | | | | | | | | | | | | | | (2491) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 58.48/9.28 | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | (2492) all_16_5 = e12
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (2492) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | | (2493) all_12_5 = e12
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | REDUCE: (77), (2493) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | | (2494) ~ (all_12_7 = e12)
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | SIMP: (2494) implies:
% 58.48/9.28 | | | | | | | | | | | | | | | | (2495) ~ (all_12_7 = e12)
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | REDUCE: (2484), (2493) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | | (2496) ~ (e13 = e12)
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 58.48/9.28 | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | (2497) all_16_13 = e13
% 58.48/9.28 | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (714), (2440), (2497) are inconsistent by
% 58.48/9.28 | | | | | | | | | | | | | | | | | sub-proof #27.
% 58.48/9.28 | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | (2498) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 58.48/9.28 | | | | | | | | | | | | | | | | | e10
% 58.48/9.28 | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 58.48/9.28 | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | | (2499) all_16_13 = e12
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2499) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | | | | (2500) all_12_7 = e12
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | | SIMP: (2500) implies:
% 58.48/9.28 | | | | | | | | | | | | | | | | | | (2501) all_12_7 = e12
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | | REDUCE: (2495), (2501) imply:
% 58.48/9.28 | | | | | | | | | | | | | | | | | | (2502) $false
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | | CLOSE: (2502) is inconsistent.
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.28 | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.28 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2503) ~ (all_16_13 = e12)
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2504) all_16_13 = e11 | all_16_13 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (268), (494), (641), (645), (655), (659),
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (666), (714), (2351), (2438), (2445), (2470),
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2471), (2475), (2477), (2486), (2503), (2504) are
% 58.48/9.29 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | (2505) all_16_5 = e11 | all_16_5 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | REF_CLOSE: (710), (838), (2353), (2505) are inconsistent by
% 58.48/9.29 | | | | | | | | | | | | | | | | sub-proof #7.
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | (2506) all_20_18 = e12 | all_20_20 = e11 | all_20_22 =
% 58.48/9.29 | | | | | | | | | | | | | | e10
% 58.48/9.29 | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 58.48/9.29 | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | (2507) all_16_3 = e13
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | COMBINE_EQS: (724), (2507) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | (2508) all_12_12 = e13
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | REDUCE: (59), (2508) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | (2509) ~ (all_12_13 = e13)
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | SIMP: (2509) implies:
% 58.48/9.29 | | | | | | | | | | | | | | | (2510) ~ (all_12_13 = e13)
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | BETA: splitting (2506) gives:
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | (2511) all_20_18 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | REF_CLOSE: (2360), (2434), (2511) are inconsistent by
% 58.48/9.29 | | | | | | | | | | | | | | | | sub-proof #2.
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | (2512) all_20_20 = e11 | all_20_22 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2513) all_16_7 = e13
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2513) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2514) all_12_13 = e13
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | SIMP: (2514) implies:
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2515) all_12_13 = e13
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | REDUCE: (2510), (2515) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2516) $false
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | CLOSE: (2516) is inconsistent.
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2517) all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2518) all_16_7 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2518) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2519) all_12_13 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | SIMP: (2519) implies:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2520) all_12_13 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | REDUCE: (55), (2520) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2521) ~ (all_12_15 = e12)
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | SIMP: (2521) implies:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2522) ~ (all_12_15 = e12)
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (730), (2444), (2473), (2479), (2480),
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2512), (2522) are inconsistent by sub-proof #1.
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2523) all_16_7 = e11 | all_16_7 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | BETA: splitting (2523) gives:
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | (2524) all_16_7 = e11
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2524) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | (2525) all_12_13 = e11
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | REDUCE: (2357), (2525) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | (2526) $false
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | CLOSE: (2526) is inconsistent.
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | (2527) all_16_7 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2527) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | (2528) all_12_13 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2528) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | (2529) $false
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | | CLOSE: (2529) is inconsistent.
% 58.48/9.29 | | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | (2530) ~ (all_16_3 = e13)
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | REDUCE: (724), (2530) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | (2531) ~ (all_12_12 = e13)
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | BETA: splitting (2506) gives:
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | (2532) all_20_18 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | REF_CLOSE: (2360), (2434), (2532) are inconsistent by
% 58.48/9.29 | | | | | | | | | | | | | | | | sub-proof #2.
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | (2533) all_20_20 = e11 | all_20_22 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2534) all_16_13 = e13
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (714), (2440), (2534) are inconsistent by
% 58.48/9.29 | | | | | | | | | | | | | | | | | sub-proof #27.
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | (2535) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 58.48/9.29 | | | | | | | | | | | | | | | | | e10
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2536) all_16_13 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2536) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2537) all_12_7 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | SIMP: (2537) implies:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2538) all_12_7 = e12
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | REDUCE: (70), (2538) imply:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2539) ~ (all_12_15 = e12)
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | SIMP: (2539) implies:
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2540) ~ (all_12_15 = e12)
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (730), (2444), (2473), (2479), (2480),
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2533), (2540) are inconsistent by sub-proof #1.
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2541) ~ (all_16_13 = e12)
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2542) all_16_13 = e11 | all_16_13 = e10
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (268), (494), (641), (645), (655), (659),
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (666), (714), (2351), (2438), (2445), (2470),
% 58.48/9.29 | | | | | | | | | | | | | | | | | | (2471), (2475), (2477), (2531), (2541), (2542) are
% 58.48/9.29 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 58.48/9.29 | | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | Case 2:
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | (2543) all_24_14 = e13
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | COMBINE_EQS: (605), (2543) imply:
% 58.48/9.29 | | | | | | | | | | | | (2544) all_12_11 = e13
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | SIMP: (2544) implies:
% 58.48/9.29 | | | | | | | | | | | | (2545) all_12_11 = e13
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | REDUCE: (2442), (2545) imply:
% 58.48/9.29 | | | | | | | | | | | | (2546) $false
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | | CLOSE: (2546) is inconsistent.
% 58.48/9.29 | | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | | |
% 58.48/9.29 | | | | | | | | | End of split
% 58.48/9.29 | | | | | | | | |
% 58.48/9.29 | | | | | | | | End of split
% 58.48/9.29 | | | | | | | |
% 58.48/9.29 | | | | | | | End of split
% 58.48/9.29 | | | | | | |
% 58.48/9.29 | | | | | | Case 2:
% 58.48/9.29 | | | | | | |
% 58.48/9.29 | | | | | | | (2547) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 58.48/9.29 | | | | | | |
% 58.48/9.29 | | | | | | | REF_CLOSE: (706), (828), (836), (2433), (2547) are inconsistent by
% 58.48/9.29 | | | | | | | sub-proof #5.
% 58.48/9.29 | | | | | | |
% 58.48/9.29 | | | | | | End of split
% 58.48/9.29 | | | | | |
% 58.48/9.29 | | | | | Case 2:
% 58.48/9.29 | | | | | |
% 58.48/9.29 | | | | | | (2548) all_16_8 = e11 | all_16_8 = e10
% 58.48/9.29 | | | | | |
% 58.48/9.29 | | | | | | REF_CLOSE: (704), (826), (834), (2548) are inconsistent by sub-proof
% 58.48/9.29 | | | | | | #4.
% 58.48/9.29 | | | | | |
% 58.48/9.29 | | | | | End of split
% 58.48/9.29 | | | | |
% 58.48/9.29 | | | | End of split
% 58.48/9.29 | | | |
% 58.48/9.29 | | | Case 2:
% 58.48/9.29 | | | |
% 58.48/9.29 | | | | (2549) all_16_6 = e10
% 58.48/9.29 | | | |
% 58.48/9.29 | | | | COMBINE_EQS: (718), (2549) imply:
% 58.48/9.29 | | | | (2550) all_12_9 = e10
% 58.48/9.29 | | | |
% 58.48/9.29 | | | | SIMP: (2550) implies:
% 58.48/9.29 | | | | (2551) all_12_9 = e10
% 58.48/9.29 | | | |
% 58.48/9.29 | | | | REDUCE: (840), (2551) imply:
% 58.48/9.29 | | | | (2552) $false
% 58.48/9.29 | | | |
% 58.48/9.29 | | | | CLOSE: (2552) is inconsistent.
% 58.48/9.29 | | | |
% 58.48/9.29 | | | End of split
% 58.48/9.29 | | |
% 58.48/9.29 | | End of split
% 58.48/9.29 | |
% 58.48/9.29 | End of split
% 58.48/9.29 |
% 58.48/9.29 End of proof
% 58.48/9.29
% 58.48/9.29 Sub-proof #1 shows that the following formulas are inconsistent:
% 58.48/9.29 ----------------------------------------------------------------
% 58.48/9.29 (1) ~ (all_12_15 = e12)
% 58.48/9.29 (2) all_16_15 = all_12_15
% 58.48/9.29 (3) all_20_20 = e12
% 58.48/9.30 (4) all_20_22 = all_12_15
% 58.48/9.30 (5) all_20_20 = e11 | all_20_22 = e10
% 58.48/9.30 (6) ~ (all_12_15 = e10)
% 58.48/9.30 (7) all_16_15 = e13 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10
% 58.48/9.30 (8) ~ (all_12_15 = e13)
% 58.48/9.30
% 58.48/9.30 Begin of proof
% 58.48/9.30 |
% 58.48/9.30 | BETA: splitting (7) gives:
% 58.48/9.30 |
% 58.48/9.30 | Case 1:
% 58.48/9.30 | |
% 58.48/9.30 | | (9) all_16_15 = e13
% 58.48/9.30 | |
% 58.48/9.30 | | COMBINE_EQS: (2), (9) imply:
% 58.48/9.30 | | (10) all_12_15 = e13
% 58.48/9.30 | |
% 58.48/9.30 | | REDUCE: (8), (10) imply:
% 58.48/9.30 | | (11) $false
% 58.48/9.30 | |
% 58.48/9.30 | | CLOSE: (11) is inconsistent.
% 58.48/9.30 | |
% 58.48/9.30 | Case 2:
% 58.48/9.30 | |
% 58.48/9.30 | | (12) all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10
% 58.48/9.30 | |
% 58.48/9.30 | | BETA: splitting (12) gives:
% 58.48/9.30 | |
% 58.48/9.30 | | Case 1:
% 58.48/9.30 | | |
% 58.48/9.30 | | | (13) all_16_15 = e12
% 58.48/9.30 | | |
% 58.48/9.30 | | | COMBINE_EQS: (2), (13) imply:
% 58.48/9.30 | | | (14) all_12_15 = e12
% 58.48/9.30 | | |
% 58.48/9.30 | | | REDUCE: (1), (14) imply:
% 58.48/9.30 | | | (15) $false
% 58.48/9.30 | | |
% 58.48/9.30 | | | CLOSE: (15) is inconsistent.
% 58.48/9.30 | | |
% 58.48/9.30 | | Case 2:
% 58.48/9.30 | | |
% 58.48/9.30 | | | (16) ~ (all_16_15 = e12)
% 58.48/9.30 | | | (17) all_16_15 = e11 | all_16_15 = e10
% 58.48/9.30 | | |
% 58.48/9.30 | | | BETA: splitting (17) gives:
% 58.48/9.30 | | |
% 58.48/9.30 | | | Case 1:
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | (18) all_16_15 = e11
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | COMBINE_EQS: (2), (18) imply:
% 58.48/9.30 | | | | (19) all_12_15 = e11
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | COMBINE_EQS: (4), (19) imply:
% 58.48/9.30 | | | | (20) all_20_22 = e11
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | REDUCE: (1), (19) imply:
% 58.48/9.30 | | | | (21) ~ (e12 = e11)
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | SIMP: (21) implies:
% 58.48/9.30 | | | | (22) ~ (e12 = e11)
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | REDUCE: (6), (19) imply:
% 58.48/9.30 | | | | (23) ~ (e11 = e10)
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | BETA: splitting (5) gives:
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | Case 1:
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | (24) all_20_20 = e11
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | COMBINE_EQS: (3), (24) imply:
% 58.48/9.30 | | | | | (25) e12 = e11
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | REDUCE: (22), (25) imply:
% 58.48/9.30 | | | | | (26) $false
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | CLOSE: (26) is inconsistent.
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | Case 2:
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | (27) all_20_22 = e10
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | COMBINE_EQS: (20), (27) imply:
% 58.48/9.30 | | | | | (28) e11 = e10
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | SIMP: (28) implies:
% 58.48/9.30 | | | | | (29) e11 = e10
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | REDUCE: (23), (29) imply:
% 58.48/9.30 | | | | | (30) $false
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | CLOSE: (30) is inconsistent.
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | End of split
% 58.48/9.30 | | | |
% 58.48/9.30 | | | Case 2:
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | (31) all_16_15 = e10
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | COMBINE_EQS: (2), (31) imply:
% 58.48/9.30 | | | | (32) all_12_15 = e10
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | REDUCE: (6), (32) imply:
% 58.48/9.30 | | | | (33) $false
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | CLOSE: (33) is inconsistent.
% 58.48/9.30 | | | |
% 58.48/9.30 | | | End of split
% 58.48/9.30 | | |
% 58.48/9.30 | | End of split
% 58.48/9.30 | |
% 58.48/9.30 | End of split
% 58.48/9.30 |
% 58.48/9.30 End of proof
% 58.48/9.30
% 58.48/9.30 Sub-proof #2 shows that the following formulas are inconsistent:
% 58.48/9.30 ----------------------------------------------------------------
% 58.48/9.30 (1) all_20_18 = e12
% 58.48/9.30 (2) all_20_18 = e11
% 58.48/9.30 (3) ~ (e12 = e11)
% 58.48/9.30
% 58.48/9.30 Begin of proof
% 58.48/9.30 |
% 58.48/9.30 | COMBINE_EQS: (1), (2) imply:
% 58.48/9.30 | (4) e12 = e11
% 58.48/9.30 |
% 58.48/9.30 | SIMP: (4) implies:
% 58.48/9.30 | (5) e12 = e11
% 58.48/9.30 |
% 58.48/9.30 | REDUCE: (3), (5) imply:
% 58.48/9.30 | (6) $false
% 58.48/9.30 |
% 58.48/9.30 | CLOSE: (6) is inconsistent.
% 58.48/9.30 |
% 58.48/9.30 End of proof
% 58.48/9.30
% 58.48/9.30 Sub-proof #3 shows that the following formulas are inconsistent:
% 58.48/9.30 ----------------------------------------------------------------
% 58.48/9.30 (1) all_20_19 = e11
% 58.48/9.30 (2) ~ (e12 = e10)
% 58.48/9.30 (3) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_11 =
% 58.48/9.30 e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 58.48/9.30 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~ (all_20_11 = e13) & ~
% 58.48/9.30 (all_20_21 = e13) & ~ (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 58.48/9.30 = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 58.48/9.30 e11) & ~ (all_20_31 = e11)) | (all_20_5 = e11 & all_20_17 = e11 & ~
% 58.48/9.30 (all_20_1 = e13) & ~ (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.30 (all_20_31 = e13)) | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.48/9.30 e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 58.48/9.30 e10)) | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.48/9.30 (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 58.48/9.30 (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~ (all_20_11
% 58.48/9.30 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)) | (all_20_13 =
% 58.48/9.30 e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~ (all_20_11 = e12) & ~
% 58.48/9.30 (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_15 = e12 &
% 58.48/9.30 all_20_27 = e12 & ~ (all_20_1 = e10) & ~ (all_20_11 = e10) & ~
% 58.48/9.30 (all_20_21 = e10) & ~ (all_20_31 = e10)) | (all_20_15 = e10 &
% 58.48/9.30 all_20_27 = e10 & ~ (all_20_1 = e12) & ~ (all_20_11 = e12) & ~
% 58.48/9.30 (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_23 = e11 &
% 58.48/9.30 all_20_29 = e11 & ~ (all_20_1 = e10) & ~ (all_20_11 = e10) & ~
% 58.48/9.30 (all_20_21 = e10) & ~ (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.48/9.30 all_20_29 = e10 & ~ (all_20_1 = e11) & ~ (all_20_11 = e11) & ~
% 58.48/9.30 (all_20_21 = e11) & ~ (all_20_31 = e11))
% 58.48/9.30 (4) ~ (all_16_13 = e12)
% 58.48/9.30 (5) all_20_1 = e11
% 58.48/9.30 (6) all_20_25 = all_12_12
% 58.48/9.30 (7) ~ (all_12_12 = e13)
% 58.48/9.30 (8) ~ (all_12_7 = e10)
% 58.48/9.30 (9) all_20_7 = e13
% 58.48/9.30 (10) all_16_13 = all_12_7
% 58.48/9.30 (11) all_20_23 = e10
% 58.48/9.30 (12) all_20_15 = all_12_7
% 58.48/9.30 (13) all_20_17 = e12
% 58.48/9.30 (14) ~ (e13 = e12)
% 58.48/9.30 (15) all_20_13 = all_12_6
% 58.48/9.30 (16) ~ (all_12_6 = all_12_7)
% 58.48/9.30 (17) ~ (e13 = e10)
% 58.48/9.30 (18) all_20_3 = e10
% 58.48/9.30 (19) all_16_13 = e11 | all_16_13 = e10
% 58.48/9.30
% 58.48/9.30 Begin of proof
% 58.48/9.30 |
% 58.48/9.30 | REDUCE: (4), (10) imply:
% 58.48/9.30 | (20) ~ (all_12_7 = e12)
% 58.48/9.30 |
% 58.48/9.30 | BETA: splitting (19) gives:
% 58.48/9.30 |
% 58.48/9.30 | Case 1:
% 58.48/9.30 | |
% 58.48/9.30 | | (21) all_16_13 = e11
% 58.48/9.30 | |
% 58.48/9.30 | | COMBINE_EQS: (10), (21) imply:
% 58.48/9.30 | | (22) all_12_7 = e11
% 58.48/9.30 | |
% 58.48/9.30 | | SIMP: (22) implies:
% 58.48/9.30 | | (23) all_12_7 = e11
% 58.48/9.30 | |
% 58.48/9.30 | | COMBINE_EQS: (12), (23) imply:
% 58.48/9.30 | | (24) all_20_15 = e11
% 58.48/9.30 | |
% 58.48/9.30 | | REDUCE: (16), (23) imply:
% 58.48/9.30 | | (25) ~ (all_12_6 = e11)
% 58.48/9.30 | |
% 58.48/9.30 | | REDUCE: (20), (23) imply:
% 58.48/9.30 | | (26) ~ (e12 = e11)
% 58.48/9.30 | |
% 58.48/9.30 | | SIMP: (26) implies:
% 58.48/9.30 | | (27) ~ (e12 = e11)
% 58.48/9.30 | |
% 58.48/9.30 | | REDUCE: (8), (23) imply:
% 58.48/9.30 | | (28) ~ (e11 = e10)
% 58.48/9.30 | |
% 58.48/9.30 | | BETA: splitting (3) gives:
% 58.48/9.30 | |
% 58.48/9.30 | | Case 1:
% 58.48/9.30 | | |
% 58.48/9.30 | | | (29) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~
% 58.48/9.30 | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12))
% 58.48/9.30 | | | | (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.48/9.30 | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 58.48/9.30 | | | | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 58.48/9.30 | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 58.48/9.30 | | | | (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 58.48/9.30 | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 58.48/9.30 | | | | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 58.48/9.30 | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 58.48/9.30 | | | | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.48/9.30 | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 58.48/9.30 | | |
% 58.48/9.30 | | | BETA: splitting (29) gives:
% 58.48/9.30 | | |
% 58.48/9.30 | | | Case 1:
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | (30) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~
% 58.48/9.30 | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 =
% 58.48/9.30 | | | | e12)) | (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 =
% 58.48/9.30 | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.30 | | | | (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17 = e13 & ~
% 58.48/9.30 | | | | (all_20_1 = e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11)
% 58.48/9.30 | | | | & ~ (all_20_31 = e11))
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | BETA: splitting (30) gives:
% 58.48/9.30 | | | |
% 58.48/9.30 | | | | Case 1:
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | (31) all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~
% 58.48/9.30 | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 =
% 58.48/9.30 | | | | | e12)
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | ALPHA: (31) implies:
% 58.48/9.30 | | | | | (32) all_20_3 = e13
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | COMBINE_EQS: (18), (32) imply:
% 58.48/9.30 | | | | | (33) e13 = e10
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | REDUCE: (17), (33) imply:
% 58.48/9.30 | | | | | (34) $false
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | CLOSE: (34) is inconsistent.
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | Case 2:
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | (35) (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.48/9.30 | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.48/9.30 | | | | | e13)) | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 =
% 58.48/9.30 | | | | | e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.48/9.30 | | | | | (all_20_31 = e11))
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | BETA: splitting (35) gives:
% 58.48/9.30 | | | | |
% 58.48/9.30 | | | | | Case 1:
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | (36) all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 58.48/9.30 | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.48/9.30 | | | | | | e13)
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | ALPHA: (36) implies:
% 58.48/9.30 | | | | | | (37) all_20_3 = e12
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | COMBINE_EQS: (18), (37) imply:
% 58.48/9.30 | | | | | | (38) e12 = e10
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | REDUCE: (2), (38) imply:
% 58.48/9.30 | | | | | | (39) $false
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | CLOSE: (39) is inconsistent.
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | Case 2:
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | (40) all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 58.48/9.30 | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.48/9.30 | | | | | | e11)
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | ALPHA: (40) implies:
% 58.48/9.30 | | | | | | (41) all_20_17 = e13
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | COMBINE_EQS: (13), (41) imply:
% 58.48/9.30 | | | | | | (42) e13 = e12
% 58.48/9.30 | | | | | |
% 58.48/9.30 | | | | | | SIMP: (42) implies:
% 58.48/9.30 | | | | | | (43) e13 = e12
% 58.48/9.30 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (14), (43) imply:
% 58.48/9.31 | | | | | | (44) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (44) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | End of split
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | End of split
% 58.48/9.31 | | | |
% 58.48/9.31 | | | Case 2:
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | (45) (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 58.48/9.31 | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.48/9.31 | | | | e13)) | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 58.48/9.31 | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.31 | | | | (all_20_31 = e10)) | (all_20_7 = e10 & all_20_25 = e10 & ~
% 58.48/9.31 | | | | (all_20_1 = e13) & ~ (all_20_11 = e13) & ~ (all_20_21 = e13)
% 58.48/9.31 | | | | & ~ (all_20_31 = e13))
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | BETA: splitting (45) gives:
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | Case 1:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | (46) all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 58.48/9.31 | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.48/9.31 | | | | | e13)
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | ALPHA: (46) implies:
% 58.48/9.31 | | | | | (47) all_20_17 = e11
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | COMBINE_EQS: (13), (47) imply:
% 58.48/9.31 | | | | | (48) e12 = e11
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | REDUCE: (27), (48) imply:
% 58.48/9.31 | | | | | (49) $false
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | CLOSE: (49) is inconsistent.
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | Case 2:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | (50) (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 58.48/9.31 | | | | | e10)) | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 =
% 58.48/9.31 | | | | | e13) & ~ (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 58.48/9.31 | | | | | (all_20_31 = e13))
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | BETA: splitting (50) gives:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | Case 1:
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | (51) all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 58.48/9.31 | | | | | | e10)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | ALPHA: (51) implies:
% 58.48/9.31 | | | | | | (52) all_20_25 = e13
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | COMBINE_EQS: (6), (52) imply:
% 58.48/9.31 | | | | | | (53) all_12_12 = e13
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (7), (53) imply:
% 58.48/9.31 | | | | | | (54) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (54) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | Case 2:
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | (55) all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 58.48/9.31 | | | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 =
% 58.48/9.31 | | | | | | e13)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | ALPHA: (55) implies:
% 58.48/9.31 | | | | | | (56) all_20_7 = e10
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | COMBINE_EQS: (9), (56) imply:
% 58.48/9.31 | | | | | | (57) e13 = e10
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | SIMP: (57) implies:
% 58.48/9.31 | | | | | | (58) e13 = e10
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (17), (58) imply:
% 58.48/9.31 | | | | | | (59) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (59) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | End of split
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | End of split
% 58.48/9.31 | | | |
% 58.48/9.31 | | | End of split
% 58.48/9.31 | | |
% 58.48/9.31 | | Case 2:
% 58.48/9.31 | | |
% 58.48/9.31 | | | (60) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~
% 58.48/9.31 | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 58.48/9.31 | | | | (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.31 | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12))
% 58.48/9.31 | | | | (all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 58.48/9.31 | | | | (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 58.48/9.31 | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12))
% 58.48/9.31 | | | | (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 58.48/9.31 | | | | (all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.48/9.31 | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 58.48/9.31 | | |
% 58.48/9.31 | | | BETA: splitting (60) gives:
% 58.48/9.31 | | |
% 58.48/9.31 | | | Case 1:
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | (61) (all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~
% 58.48/9.31 | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.48/9.31 | | | | e11)) | (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 =
% 58.48/9.31 | | | | e12) & ~ (all_20_11 = e12) & ~ (all_20_21 = e12) & ~
% 58.48/9.31 | | | | (all_20_31 = e12)) | (all_20_15 = e12 & all_20_27 = e12 & ~
% 58.48/9.31 | | | | (all_20_1 = e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10)
% 58.48/9.31 | | | | & ~ (all_20_31 = e10))
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | BETA: splitting (61) gives:
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | Case 1:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | (62) all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~
% 58.48/9.31 | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.48/9.31 | | | | | e11)
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | ALPHA: (62) implies:
% 58.48/9.31 | | | | | (63) all_20_19 = e12
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | COMBINE_EQS: (1), (63) imply:
% 58.48/9.31 | | | | | (64) e12 = e11
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | SIMP: (64) implies:
% 58.48/9.31 | | | | | (65) e12 = e11
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | REDUCE: (27), (65) imply:
% 58.48/9.31 | | | | | (66) $false
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | CLOSE: (66) is inconsistent.
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | Case 2:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | (67) (all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.31 | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 =
% 58.48/9.31 | | | | | e12)) | (all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1
% 58.48/9.31 | | | | | = e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.31 | | | | | (all_20_31 = e10))
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | BETA: splitting (67) gives:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | Case 1:
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | (68) all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~
% 58.48/9.31 | | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 =
% 58.48/9.31 | | | | | | e12)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | ALPHA: (68) implies:
% 58.48/9.31 | | | | | | (69) all_20_13 = e11
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | COMBINE_EQS: (15), (69) imply:
% 58.48/9.31 | | | | | | (70) all_12_6 = e11
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (25), (70) imply:
% 58.48/9.31 | | | | | | (71) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (71) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | Case 2:
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | (72) all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 58.48/9.31 | | | | | | e10)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | ALPHA: (72) implies:
% 58.48/9.31 | | | | | | (73) all_20_15 = e12
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | COMBINE_EQS: (24), (73) imply:
% 58.48/9.31 | | | | | | (74) e12 = e11
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (27), (74) imply:
% 58.48/9.31 | | | | | | (75) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (75) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | End of split
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | End of split
% 58.48/9.31 | | | |
% 58.48/9.31 | | | Case 2:
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | (76) (all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 58.48/9.31 | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 =
% 58.48/9.31 | | | | e12)) | (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 =
% 58.48/9.31 | | | | e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10) & ~
% 58.48/9.31 | | | | (all_20_31 = e10)) | (all_20_23 = e10 & all_20_29 = e10 & ~
% 58.48/9.31 | | | | (all_20_1 = e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11)
% 58.48/9.31 | | | | & ~ (all_20_31 = e11))
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | BETA: splitting (76) gives:
% 58.48/9.31 | | | |
% 58.48/9.31 | | | | Case 1:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | (77) all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12) & ~
% 58.48/9.31 | | | | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 =
% 58.48/9.31 | | | | | e12)
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | ALPHA: (77) implies:
% 58.48/9.31 | | | | | (78) all_20_15 = e10
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | COMBINE_EQS: (24), (78) imply:
% 58.48/9.31 | | | | | (79) e11 = e10
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | SIMP: (79) implies:
% 58.48/9.31 | | | | | (80) e11 = e10
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | REDUCE: (28), (80) imply:
% 58.48/9.31 | | | | | (81) $false
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | CLOSE: (81) is inconsistent.
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | Case 2:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | (82) (all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 58.48/9.31 | | | | | e10)) | (all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1
% 58.48/9.31 | | | | | = e11) & ~ (all_20_11 = e11) & ~ (all_20_21 = e11) & ~
% 58.48/9.31 | | | | | (all_20_31 = e11))
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | BETA: splitting (82) gives:
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | | Case 1:
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | (83) all_20_23 = e11 & all_20_29 = e11 & ~ (all_20_1 = e10) & ~
% 58.48/9.31 | | | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 58.48/9.31 | | | | | | e10)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | ALPHA: (83) implies:
% 58.48/9.31 | | | | | | (84) all_20_23 = e11
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | COMBINE_EQS: (11), (84) imply:
% 58.48/9.31 | | | | | | (85) e11 = e10
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | SIMP: (85) implies:
% 58.48/9.31 | | | | | | (86) e11 = e10
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (28), (86) imply:
% 58.48/9.31 | | | | | | (87) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (87) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | Case 2:
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | (88) all_20_23 = e10 & all_20_29 = e10 & ~ (all_20_1 = e11) & ~
% 58.48/9.31 | | | | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 =
% 58.48/9.31 | | | | | | e11)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | ALPHA: (88) implies:
% 58.48/9.31 | | | | | | (89) ~ (all_20_1 = e11)
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | REDUCE: (5), (89) imply:
% 58.48/9.31 | | | | | | (90) $false
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | | CLOSE: (90) is inconsistent.
% 58.48/9.31 | | | | | |
% 58.48/9.31 | | | | | End of split
% 58.48/9.31 | | | | |
% 58.48/9.31 | | | | End of split
% 58.48/9.31 | | | |
% 58.48/9.31 | | | End of split
% 58.48/9.31 | | |
% 58.48/9.31 | | End of split
% 58.48/9.31 | |
% 58.48/9.31 | Case 2:
% 58.48/9.31 | |
% 58.48/9.31 | | (91) all_16_13 = e10
% 58.48/9.31 | |
% 58.48/9.31 | | COMBINE_EQS: (10), (91) imply:
% 58.48/9.31 | | (92) all_12_7 = e10
% 58.48/9.31 | |
% 58.48/9.31 | | SIMP: (92) implies:
% 58.48/9.31 | | (93) all_12_7 = e10
% 58.48/9.31 | |
% 58.48/9.31 | | REDUCE: (8), (93) imply:
% 58.48/9.31 | | (94) $false
% 58.48/9.31 | |
% 58.48/9.31 | | CLOSE: (94) is inconsistent.
% 58.48/9.31 | |
% 58.48/9.31 | End of split
% 58.48/9.31 |
% 58.48/9.31 End of proof
% 58.48/9.31
% 58.48/9.31 Sub-proof #4 shows that the following formulas are inconsistent:
% 58.48/9.31 ----------------------------------------------------------------
% 58.48/9.31 (1) all_16_8 = e11 | all_16_8 = e10
% 58.48/9.31 (2) all_16_8 = all_12_2
% 58.48/9.31 (3) ~ (all_12_2 = e11)
% 58.48/9.31 (4) ~ (all_12_2 = e10)
% 58.48/9.31
% 58.48/9.31 Begin of proof
% 58.48/9.31 |
% 58.48/9.31 | BETA: splitting (1) gives:
% 58.48/9.31 |
% 58.48/9.31 | Case 1:
% 58.48/9.31 | |
% 58.48/9.31 | | (5) all_16_8 = e11
% 58.48/9.31 | |
% 58.48/9.31 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.31 | | (6) all_12_2 = e11
% 58.48/9.31 | |
% 58.48/9.31 | | REDUCE: (3), (6) imply:
% 58.48/9.31 | | (7) $false
% 58.48/9.31 | |
% 58.48/9.31 | | CLOSE: (7) is inconsistent.
% 58.48/9.31 | |
% 58.48/9.31 | Case 2:
% 58.48/9.31 | |
% 58.48/9.31 | | (8) all_16_8 = e10
% 58.48/9.31 | |
% 58.48/9.31 | | COMBINE_EQS: (2), (8) imply:
% 58.48/9.31 | | (9) all_12_2 = e10
% 58.48/9.31 | |
% 58.48/9.31 | | REDUCE: (4), (9) imply:
% 58.48/9.31 | | (10) $false
% 58.48/9.31 | |
% 58.48/9.31 | | CLOSE: (10) is inconsistent.
% 58.48/9.31 | |
% 58.48/9.31 | End of split
% 58.48/9.31 |
% 58.48/9.31 End of proof
% 58.48/9.31
% 58.48/9.31 Sub-proof #5 shows that the following formulas are inconsistent:
% 58.48/9.31 ----------------------------------------------------------------
% 58.48/9.31 (1) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10
% 58.48/9.32 (2) ~ (all_12_3 = e11)
% 58.48/9.32 (3) ~ (all_12_3 = e12)
% 58.48/9.32 (4) all_16_12 = all_12_3
% 58.48/9.32 (5) ~ (all_12_3 = e10)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (1) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (6) all_16_12 = e12
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (4), (6) imply:
% 58.48/9.32 | | (7) all_12_3 = e12
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (3), (7) imply:
% 58.48/9.32 | | (8) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (8) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (9) all_16_12 = e11 | all_16_12 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #31.
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #6 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) ~ (all_12_5 = e12)
% 58.48/9.32 (2) ~ (all_12_5 = e11)
% 58.48/9.32 (3) all_16_5 = all_12_5
% 58.48/9.32 (4) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.48/9.32 (5) ~ (all_12_5 = e10)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (4) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (6) all_16_5 = e12
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (3), (6) imply:
% 58.48/9.32 | | (7) all_12_5 = e12
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (1), (7) imply:
% 58.48/9.32 | | (8) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (8) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (9) all_16_5 = e11 | all_16_5 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #7.
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #7 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_16_5 = e11 | all_16_5 = e10
% 58.48/9.32 (2) all_16_5 = all_12_5
% 58.48/9.32 (3) ~ (all_12_5 = e11)
% 58.48/9.32 (4) ~ (all_12_5 = e10)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (1) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (5) all_16_5 = e11
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.32 | | (6) all_12_5 = e11
% 58.48/9.32 | |
% 58.48/9.32 | | SIMP: (6) implies:
% 58.48/9.32 | | (7) all_12_5 = e11
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (3), (7) imply:
% 58.48/9.32 | | (8) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (8) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (9) all_16_5 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (9) imply:
% 58.48/9.32 | | (10) all_12_5 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | SIMP: (10) implies:
% 58.48/9.32 | | (11) all_12_5 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (4), (11) imply:
% 58.48/9.32 | | (12) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (12) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #8 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_16_13 = e11 | all_16_13 = e10
% 58.48/9.32 (2) all_16_13 = all_12_7
% 58.48/9.32 (3) ~ (all_12_7 = e11)
% 58.48/9.32 (4) ~ (all_12_7 = e10)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (1) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (5) all_16_13 = e11
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.32 | | (6) all_12_7 = e11
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (3), (6) imply:
% 58.48/9.32 | | (7) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (7) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (8) all_16_13 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (8) imply:
% 58.48/9.32 | | (9) all_12_7 = e10
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (4), (9) imply:
% 58.48/9.32 | | (10) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (10) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #9 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_18_7 = e21 | all_18_7 = e20
% 58.48/9.32 (2) all_18_7 = all_14_13
% 58.48/9.32 (3) ~ (all_14_13 = e21)
% 58.48/9.32 (4) ~ (all_14_13 = e20)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (1) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (5) all_18_7 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.32 | | (6) all_14_13 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | SIMP: (6) implies:
% 58.48/9.32 | | (7) all_14_13 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (3), (7) imply:
% 58.48/9.32 | | (8) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (8) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (9) all_18_7 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (9) imply:
% 58.48/9.32 | | (10) all_14_13 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | SIMP: (10) implies:
% 58.48/9.32 | | (11) all_14_13 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (4), (11) imply:
% 58.48/9.32 | | (12) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (12) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #10 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_18_1 = e21 | all_18_1 = e20
% 58.48/9.32 (2) all_18_1 = all_14_4
% 58.48/9.32 (3) ~ (all_14_4 = e21)
% 58.48/9.32 (4) ~ (all_14_4 = e20)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (1) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (5) all_18_1 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.32 | | (6) all_14_4 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | SIMP: (6) implies:
% 58.48/9.32 | | (7) all_14_4 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (3), (7) imply:
% 58.48/9.32 | | (8) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (8) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (9) all_18_1 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (9) imply:
% 58.48/9.32 | | (10) all_14_4 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | SIMP: (10) implies:
% 58.48/9.32 | | (11) all_14_4 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (4), (11) imply:
% 58.48/9.32 | | (12) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (12) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #11 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_26_5 = e23
% 58.48/9.32 (2) all_26_5 = e21
% 58.48/9.32 (3) ~ (e23 = e21)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.48/9.32 | (4) e23 = e21
% 58.48/9.32 |
% 58.48/9.32 | SIMP: (4) implies:
% 58.48/9.32 | (5) e23 = e21
% 58.48/9.32 |
% 58.48/9.32 | REDUCE: (3), (5) imply:
% 58.48/9.32 | (6) $false
% 58.48/9.32 |
% 58.48/9.32 | CLOSE: (6) is inconsistent.
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #12 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_26_4 = e23
% 58.48/9.32 (2) all_26_4 = e22
% 58.48/9.32 (3) ~ (e23 = e22)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.48/9.32 | (4) e23 = e22
% 58.48/9.32 |
% 58.48/9.32 | SIMP: (4) implies:
% 58.48/9.32 | (5) e23 = e22
% 58.48/9.32 |
% 58.48/9.32 | REDUCE: (3), (5) imply:
% 58.48/9.32 | (6) $false
% 58.48/9.32 |
% 58.48/9.32 | CLOSE: (6) is inconsistent.
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #13 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_18_10 = all_4_1
% 58.48/9.32 (2) all_18_10 = e21
% 58.48/9.32 (3) ~ (all_4_1 = e21)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.48/9.32 | (4) all_4_1 = e21
% 58.48/9.32 |
% 58.48/9.32 | SIMP: (4) implies:
% 58.48/9.32 | (5) all_4_1 = e21
% 58.48/9.32 |
% 58.48/9.32 | REDUCE: (3), (5) imply:
% 58.48/9.32 | (6) $false
% 58.48/9.32 |
% 58.48/9.32 | CLOSE: (6) is inconsistent.
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #14 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) ~ (e22 = e21)
% 58.48/9.32 (2) all_22_17 = e22
% 58.48/9.32 (3) ~ (e23 = e22)
% 58.48/9.32 (4) all_22_7 = e22
% 58.48/9.32 (5) ~ (e22 = e20)
% 58.48/9.32 (6) (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 58.48/9.32 e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23
% 58.48/9.32 & all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_11 = e20) & ~
% 58.48/9.32 (all_22_21 = e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20 & all_22_25
% 58.48/9.32 = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.32 e23) & ~ (all_22_31 = e23))
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (6) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (7) all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 = e23) & ~
% 58.48/9.32 | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)
% 58.48/9.32 | |
% 58.48/9.32 | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #23.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (8) (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 58.48/9.32 | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20)) |
% 58.48/9.32 | | (all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.32 | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23))
% 58.48/9.32 | |
% 58.48/9.32 | | BETA: splitting (8) gives:
% 58.48/9.32 | |
% 58.48/9.32 | | Case 1:
% 58.48/9.32 | | |
% 58.48/9.32 | | | (9) all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 58.48/9.32 | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~ (all_22_31 = e20)
% 58.48/9.32 | | |
% 58.48/9.32 | | | ALPHA: (9) implies:
% 58.48/9.32 | | | (10) all_22_7 = e23
% 58.48/9.32 | | |
% 58.48/9.32 | | | COMBINE_EQS: (4), (10) imply:
% 58.48/9.32 | | | (11) e23 = e22
% 58.48/9.32 | | |
% 58.48/9.32 | | | REDUCE: (3), (11) imply:
% 58.48/9.32 | | | (12) $false
% 58.48/9.32 | | |
% 58.48/9.32 | | | CLOSE: (12) is inconsistent.
% 58.48/9.32 | | |
% 58.48/9.32 | | Case 2:
% 58.48/9.32 | | |
% 58.48/9.32 | | | (13) all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.32 | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)
% 58.48/9.32 | | |
% 58.48/9.32 | | | ALPHA: (13) implies:
% 58.48/9.32 | | | (14) all_22_7 = e20
% 58.48/9.32 | | |
% 58.48/9.32 | | | COMBINE_EQS: (4), (14) imply:
% 58.48/9.32 | | | (15) e22 = e20
% 58.48/9.32 | | |
% 58.48/9.32 | | | SIMP: (15) implies:
% 58.48/9.32 | | | (16) e22 = e20
% 58.48/9.32 | | |
% 58.48/9.32 | | | REDUCE: (5), (16) imply:
% 58.48/9.32 | | | (17) $false
% 58.48/9.32 | | |
% 58.48/9.32 | | | CLOSE: (17) is inconsistent.
% 58.48/9.32 | | |
% 58.48/9.32 | | End of split
% 58.48/9.32 | |
% 58.48/9.32 | End of split
% 58.48/9.32 |
% 58.48/9.32 End of proof
% 58.48/9.32
% 58.48/9.32 Sub-proof #15 shows that the following formulas are inconsistent:
% 58.48/9.32 ----------------------------------------------------------------
% 58.48/9.32 (1) all_18_8 = e21 | all_18_8 = e20
% 58.48/9.32 (2) all_18_8 = all_14_2
% 58.48/9.32 (3) ~ (all_14_2 = e21)
% 58.48/9.32 (4) ~ (all_14_2 = e20)
% 58.48/9.32
% 58.48/9.32 Begin of proof
% 58.48/9.32 |
% 58.48/9.32 | BETA: splitting (1) gives:
% 58.48/9.32 |
% 58.48/9.32 | Case 1:
% 58.48/9.32 | |
% 58.48/9.32 | | (5) all_18_8 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.32 | | (6) all_14_2 = e21
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (3), (6) imply:
% 58.48/9.32 | | (7) $false
% 58.48/9.32 | |
% 58.48/9.32 | | CLOSE: (7) is inconsistent.
% 58.48/9.32 | |
% 58.48/9.32 | Case 2:
% 58.48/9.32 | |
% 58.48/9.32 | | (8) all_18_8 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | COMBINE_EQS: (2), (8) imply:
% 58.48/9.32 | | (9) all_14_2 = e20
% 58.48/9.32 | |
% 58.48/9.32 | | REDUCE: (4), (9) imply:
% 58.48/9.32 | | (10) $false
% 58.48/9.32 | |
% 58.48/9.33 | | CLOSE: (10) is inconsistent.
% 58.48/9.33 | |
% 58.48/9.33 | End of split
% 58.48/9.33 |
% 58.48/9.33 End of proof
% 58.48/9.33
% 58.48/9.33 Sub-proof #16 shows that the following formulas are inconsistent:
% 58.48/9.33 ----------------------------------------------------------------
% 58.48/9.33 (1) all_28_70 = e20
% 58.48/9.33 (2) all_28_58 = all_14_14
% 58.48/9.33 (3) h3(all_12_11) = all_28_68
% 58.48/9.33 (4) all_28_40 = e23
% 58.48/9.33 (5) all_22_31 = all_10_1
% 58.48/9.33 (6) all_28_42 = e22
% 58.48/9.33 (7) all_18_15 = all_10_1
% 58.48/9.33 (8) ~ (all_12_11 = e12)
% 58.48/9.33 (9) all_28_56 = all_4_1
% 58.48/9.33 (10) ~ (e13 = e11)
% 58.48/9.33 (11) all_28_37 = e21
% 58.48/9.33 (12) all_26_14 = all_14_11
% 58.48/9.33 (13) ~ (e23 = e20)
% 58.48/9.33 (14) all_26_10 = e22
% 58.48/9.33 (15) h3(e11) = e21
% 58.48/9.33 (16) ~ (e23 = e21)
% 58.48/9.33 (17) all_28_69 = all_10_1
% 58.48/9.33 (18) all_26_9 = e23
% 58.48/9.33 (19) ~ (e12 = e10)
% 58.48/9.33 (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1) |
% 58.48/9.33 ~ (h3(v2) = v0))
% 58.48/9.33 (21) ~ (all_10_1 = e23)
% 58.48/9.33 (22) ~ (all_12_15 = e12)
% 58.48/9.33 (23) all_22_19 = e23
% 58.48/9.33 (24) all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 58.48/9.33 (25) all_28_67 = e21
% 58.48/9.33 (26) all_28_48 = e22
% 58.48/9.33 (27) all_28_53 = e23
% 58.48/9.33 (28) all_28_38 = e20
% 58.48/9.33 (29) ~ (e22 = e21)
% 58.48/9.33 (30) all_28_60 = e22
% 58.48/9.33 (31) all_28_51 = e23
% 58.48/9.33 (32) all_26_13 = e22
% 58.48/9.33 (33) all_28_55 = e22
% 58.48/9.33 (34) all_24_10 = e12
% 58.48/9.33 (35) all_22_27 = e22
% 58.48/9.33 (36) all_28_36 = e21
% 58.48/9.33 (37) all_24_9 = e13
% 58.48/9.33 (38) ~ (all_12_10 = all_12_11)
% 58.48/9.33 (39) all_24_7 = e13
% 58.48/9.33 (40) all_20_11 = e11
% 58.48/9.33 (41) all_28_61 = e22
% 58.48/9.33 (42) all_16_14 = all_12_11
% 58.48/9.33 (43) ~ (all_12_14 = all_12_15)
% 58.48/9.33 (44) all_28_50 = e23
% 58.48/9.33 (45) all_28_45 = e20
% 58.48/9.33 (46) all_22_25 = e23
% 58.48/9.33 (47) all_20_21 = all_12_10
% 58.48/9.33 (48) ~ (all_10_1 = e22)
% 58.48/9.33 (49) all_28_41 = e23
% 58.48/9.33 (50) all_22_17 = e22
% 58.48/9.33 (51) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20
% 58.48/9.33 (52) all_28_43 = e22
% 58.48/9.33 (53) all_24_6 = e12
% 58.48/9.33 (54) all_28_54 = e22
% 58.48/9.33 (55) ~ (all_14_11 = e23)
% 58.48/9.33 (56) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_11 =
% 58.48/9.33 e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)) | (all_22_3 =
% 58.48/9.33 e22 & all_22_9 = e22 & ~ (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.33 (all_22_21 = e23) & ~ (all_22_31 = e23)) | (all_22_5 = e23 &
% 58.48/9.33 all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 = e21) & ~
% 58.48/9.33 (all_22_21 = e21) & ~ (all_22_31 = e21)) | (all_22_5 = e21 &
% 58.48/9.33 all_22_17 = e21 & ~ (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.33 (all_22_21 = e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23 &
% 58.48/9.33 all_22_25 = e23 & ~ (all_22_1 = e20) & ~ (all_22_11 = e20) & ~
% 58.48/9.33 (all_22_21 = e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20 &
% 58.48/9.33 all_22_25 = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.33 (all_22_21 = e23) & ~ (all_22_31 = e23)) | (all_22_13 = e22 &
% 58.48/9.33 all_22_19 = e22 & ~ (all_22_1 = e21) & ~ (all_22_11 = e21) & ~
% 58.48/9.33 (all_22_21 = e21) & ~ (all_22_31 = e21)) | (all_22_13 = e21 &
% 58.48/9.33 all_22_19 = e21 & ~ (all_22_1 = e22) & ~ (all_22_11 = e22) & ~
% 58.48/9.33 (all_22_21 = e22) & ~ (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.33 all_22_27 = e22 & ~ (all_22_1 = e20) & ~ (all_22_11 = e20) & ~
% 58.48/9.33 (all_22_21 = e20) & ~ (all_22_31 = e20)) | (all_22_15 = e20 &
% 58.48/9.33 all_22_27 = e20 & ~ (all_22_1 = e22) & ~ (all_22_11 = e22) & ~
% 58.48/9.33 (all_22_21 = e22) & ~ (all_22_31 = e22)) | (all_22_23 = e21 &
% 58.48/9.33 all_22_29 = e21 & ~ (all_22_1 = e20) & ~ (all_22_11 = e20) & ~
% 58.48/9.33 (all_22_21 = e20) & ~ (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.33 all_22_29 = e20 & ~ (all_22_1 = e21) & ~ (all_22_11 = e21) & ~
% 58.48/9.33 (all_22_21 = e21) & ~ (all_22_31 = e21))
% 58.48/9.33 (57) all_28_66 = all_14_11
% 58.48/9.33 (58) all_24_9 = e11 | all_24_10 = e11 | all_24_11 = e11 | all_24_15 = e11
% 58.48/9.33 (59) all_18_10 = all_4_1
% 58.48/9.33 (60) all_28_46 = e21
% 58.48/9.33 (61) all_26_11 = all_14_14
% 58.48/9.33 (62) all_28_52 = e23
% 58.48/9.33 (63) all_28_44 = e20
% 58.48/9.33 (64) all_28_47 = e21
% 58.48/9.33 (65) ~ (all_20_21 = e10)
% 58.48/9.33 (66) all_26_12 = e23
% 58.48/9.33 (67) ~ (all_4_1 = e22)
% 58.48/9.33 (68) h3(e10) = e20
% 58.48/9.33 (69) all_28_49 = e22
% 58.48/9.33 (70) all_26_15 = all_10_1
% 58.48/9.33 (71) ~ (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~ (all_28_40
% 58.48/9.33 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ (all_28_44 = all_28_45)
% 58.48/9.33 | ~ (all_28_46 = all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 58.48/9.33 (all_28_50 = all_28_51) | ~ (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.48/9.33 all_28_55) | ~ (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) |
% 58.48/9.33 ~ (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~ (all_28_66
% 58.48/9.33 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.48/9.33 (all_28_64 = e23) & ~ (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.33 (all_28_61 = e22) & ~ (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.33 (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.33 (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.33 (all_28_64 = e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.33 (72) all_28_63 = e23
% 58.48/9.33 (73) ~ (e23 = e22)
% 58.48/9.33 (74) all_28_64 = e23
% 58.48/9.33 (75) ~ (all_14_11 = e22)
% 58.48/9.33 (76) all_22_9 = e20
% 58.48/9.33 (77) ~ (all_14_11 = all_4_1)
% 58.48/9.33 (78) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20)
% 58.48/9.33 & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 58.48/9.33 (79) h3(all_12_14) = all_28_59
% 58.48/9.33 (80) ~ (all_14_14 = all_10_1)
% 58.48/9.33 (81) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 58.48/9.33 (82) all_28_62 = e22
% 58.48/9.33 (83) all_22_29 = all_14_14
% 58.48/9.33 (84) ~ (e12 = e11)
% 58.48/9.33 (85) ~ (e13 = e10)
% 58.48/9.33 (86) all_24_11 = all_12_14
% 58.48/9.33 (87) ~ (e22 = e20)
% 58.48/9.33 (88) h3(all_12_15) = all_28_71
% 58.48/9.33 (89) ~ (all_12_15 = e13)
% 58.48/9.33 (90) all_24_15 = all_12_15
% 58.48/9.33 (91) all_24_6 = e11 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 58.48/9.33 (92) all_28_65 = e23
% 58.48/9.33 (93) h3(all_12_10) = all_28_57
% 58.48/9.33 (94) ~ (all_20_11 = e10)
% 58.48/9.33 (95) all_28_39 = e20
% 58.48/9.33 (96) all_24_6 = e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 58.48/9.33 (97) all_24_8 = all_12_10
% 58.48/9.33
% 58.48/9.33 Begin of proof
% 58.48/9.33 |
% 58.48/9.33 | REDUCE: (40), (94) imply:
% 58.48/9.33 | (98) ~ (e11 = e10)
% 58.48/9.33 |
% 58.48/9.33 | REDUCE: (47), (65) imply:
% 58.48/9.33 | (99) ~ (all_12_10 = e10)
% 58.48/9.33 |
% 58.48/9.33 | BETA: splitting (96) gives:
% 58.48/9.33 |
% 58.48/9.33 | Case 1:
% 58.48/9.33 | |
% 58.48/9.33 | | (100) all_24_6 = e10
% 58.48/9.33 | |
% 58.48/9.33 | | COMBINE_EQS: (53), (100) imply:
% 58.48/9.33 | | (101) e12 = e10
% 58.48/9.33 | |
% 58.48/9.33 | | SIMP: (101) implies:
% 58.48/9.33 | | (102) e12 = e10
% 58.48/9.33 | |
% 58.48/9.33 | | REDUCE: (19), (102) imply:
% 58.48/9.33 | | (103) $false
% 58.48/9.33 | |
% 58.48/9.33 | | CLOSE: (103) is inconsistent.
% 58.48/9.33 | |
% 58.48/9.33 | Case 2:
% 58.48/9.33 | |
% 58.48/9.33 | | (104) all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 58.48/9.33 | |
% 58.48/9.33 | | BETA: splitting (104) gives:
% 58.48/9.33 | |
% 58.48/9.33 | | Case 1:
% 58.48/9.33 | | |
% 58.48/9.33 | | | (105) all_24_7 = e10
% 58.48/9.33 | | |
% 58.48/9.33 | | | COMBINE_EQS: (39), (105) imply:
% 58.48/9.33 | | | (106) e13 = e10
% 58.48/9.33 | | |
% 58.48/9.33 | | | SIMP: (106) implies:
% 58.48/9.33 | | | (107) e13 = e10
% 58.48/9.33 | | |
% 58.48/9.33 | | | REDUCE: (85), (107) imply:
% 58.48/9.33 | | | (108) $false
% 58.48/9.33 | | |
% 58.48/9.33 | | | CLOSE: (108) is inconsistent.
% 58.48/9.33 | | |
% 58.48/9.33 | | Case 2:
% 58.48/9.33 | | |
% 58.48/9.33 | | | (109) all_24_8 = e10 | all_24_11 = e10
% 58.48/9.33 | | |
% 58.48/9.33 | | | BETA: splitting (109) gives:
% 58.48/9.33 | | |
% 58.48/9.33 | | | Case 1:
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | (110) all_24_8 = e10
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | COMBINE_EQS: (97), (110) imply:
% 58.48/9.33 | | | | (111) all_12_10 = e10
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | SIMP: (111) implies:
% 58.48/9.33 | | | | (112) all_12_10 = e10
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | REDUCE: (99), (112) imply:
% 58.48/9.33 | | | | (113) $false
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | CLOSE: (113) is inconsistent.
% 58.48/9.33 | | | |
% 58.48/9.33 | | | Case 2:
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | (114) all_24_11 = e10
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | COMBINE_EQS: (86), (114) imply:
% 58.48/9.33 | | | | (115) all_12_14 = e10
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | SIMP: (115) implies:
% 58.48/9.33 | | | | (116) all_12_14 = e10
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | REDUCE: (43), (116) imply:
% 58.48/9.33 | | | | (117) ~ (all_12_15 = e10)
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | SIMP: (117) implies:
% 58.48/9.33 | | | | (118) ~ (all_12_15 = e10)
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | REDUCE: (79), (116) imply:
% 58.48/9.33 | | | | (119) h3(e10) = all_28_59
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | BETA: splitting (58) gives:
% 58.48/9.33 | | | |
% 58.48/9.33 | | | | Case 1:
% 58.48/9.33 | | | | |
% 58.48/9.33 | | | | | (120) all_24_9 = e11
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | COMBINE_EQS: (37), (120) imply:
% 58.48/9.34 | | | | | (121) e13 = e11
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | SIMP: (121) implies:
% 58.48/9.34 | | | | | (122) e13 = e11
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | REDUCE: (10), (122) imply:
% 58.48/9.34 | | | | | (123) $false
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | CLOSE: (123) is inconsistent.
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | Case 2:
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | (124) all_24_10 = e11 | all_24_11 = e11 | all_24_15 = e11
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | BETA: splitting (124) gives:
% 58.48/9.34 | | | | |
% 58.48/9.34 | | | | | Case 1:
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | (125) all_24_10 = e11
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | COMBINE_EQS: (34), (125) imply:
% 58.48/9.34 | | | | | | (126) e12 = e11
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | SIMP: (126) implies:
% 58.48/9.34 | | | | | | (127) e12 = e11
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | REDUCE: (84), (127) imply:
% 58.48/9.34 | | | | | | (128) $false
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | CLOSE: (128) is inconsistent.
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | Case 2:
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | (129) all_24_11 = e11 | all_24_15 = e11
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | BETA: splitting (129) gives:
% 58.48/9.34 | | | | | |
% 58.48/9.34 | | | | | | Case 1:
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | (130) all_24_11 = e11
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | COMBINE_EQS: (114), (130) imply:
% 58.48/9.34 | | | | | | | (131) e11 = e10
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | REDUCE: (98), (131) imply:
% 58.48/9.34 | | | | | | | (132) $false
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | CLOSE: (132) is inconsistent.
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | Case 2:
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | (133) all_24_15 = e11
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | COMBINE_EQS: (90), (133) imply:
% 58.48/9.34 | | | | | | | (134) all_12_15 = e11
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | SIMP: (134) implies:
% 58.48/9.34 | | | | | | | (135) all_12_15 = e11
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | REDUCE: (89), (135) imply:
% 58.48/9.34 | | | | | | | (136) ~ (e13 = e11)
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | REDUCE: (22), (135) imply:
% 58.48/9.34 | | | | | | | (137) ~ (e12 = e11)
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | REDUCE: (88), (135) imply:
% 58.48/9.34 | | | | | | | (138) h3(e11) = all_28_71
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | BETA: splitting (91) gives:
% 58.48/9.34 | | | | | | |
% 58.48/9.34 | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | (139) all_24_6 = e11
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | COMBINE_EQS: (53), (139) imply:
% 58.48/9.34 | | | | | | | | (140) e12 = e11
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | SIMP: (140) implies:
% 58.48/9.34 | | | | | | | | (141) e12 = e11
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | REDUCE: (84), (141) imply:
% 58.48/9.34 | | | | | | | | (142) $false
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | CLOSE: (142) is inconsistent.
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | (143) all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | BETA: splitting (143) gives:
% 58.48/9.34 | | | | | | | |
% 58.48/9.34 | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | (144) all_24_7 = e11
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | COMBINE_EQS: (39), (144) imply:
% 58.48/9.34 | | | | | | | | | (145) e13 = e11
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | SIMP: (145) implies:
% 58.48/9.34 | | | | | | | | | (146) e13 = e11
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | REDUCE: (10), (146) imply:
% 58.48/9.34 | | | | | | | | | (147) $false
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | CLOSE: (147) is inconsistent.
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | (148) all_24_8 = e11 | all_24_11 = e11
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | BETA: splitting (148) gives:
% 58.48/9.34 | | | | | | | | |
% 58.48/9.34 | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | (149) all_24_8 = e11
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | COMBINE_EQS: (97), (149) imply:
% 58.48/9.34 | | | | | | | | | | (150) all_12_10 = e11
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | SIMP: (150) implies:
% 58.48/9.34 | | | | | | | | | | (151) all_12_10 = e11
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | REDUCE: (38), (151) imply:
% 58.48/9.34 | | | | | | | | | | (152) ~ (all_12_11 = e11)
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | SIMP: (152) implies:
% 58.48/9.34 | | | | | | | | | | (153) ~ (all_12_11 = e11)
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | REDUCE: (93), (151) imply:
% 58.48/9.34 | | | | | | | | | | (154) h3(e11) = all_28_57
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | BETA: splitting (81) gives:
% 58.48/9.34 | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | (155) all_16_14 = e12
% 58.48/9.34 | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | REF_CLOSE: (8), (42), (155) are inconsistent by sub-proof
% 58.48/9.34 | | | | | | | | | | | #20.
% 58.48/9.34 | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | (156) all_16_14 = e11 | all_16_14 = e10
% 58.48/9.34 | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | BETA: splitting (156) gives:
% 58.48/9.34 | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | (157) all_16_14 = e11
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | REF_CLOSE: (42), (153), (157) are inconsistent by sub-proof
% 58.48/9.34 | | | | | | | | | | | | #19.
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | (158) all_16_14 = e10
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | COMBINE_EQS: (42), (158) imply:
% 58.48/9.34 | | | | | | | | | | | | (159) all_12_11 = e10
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | SIMP: (159) implies:
% 58.48/9.34 | | | | | | | | | | | | (160) all_12_11 = e10
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | REDUCE: (3), (160) imply:
% 58.48/9.34 | | | | | | | | | | | | (161) h3(e10) = all_28_68
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | GROUND_INST: instantiating (20) with e20, all_28_59, e10,
% 58.48/9.34 | | | | | | | | | | | | simplifying with (68), (119) gives:
% 58.48/9.34 | | | | | | | | | | | | (162) all_28_59 = e20
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_28_68, all_28_59, e10,
% 58.48/9.34 | | | | | | | | | | | | simplifying with (119), (161) gives:
% 58.48/9.34 | | | | | | | | | | | | (163) all_28_59 = all_28_68
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | GROUND_INST: instantiating (20) with e21, all_28_57, e11,
% 58.48/9.34 | | | | | | | | | | | | simplifying with (15), (154) gives:
% 58.48/9.34 | | | | | | | | | | | | (164) all_28_57 = e21
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_28_71, all_28_57, e11,
% 58.48/9.34 | | | | | | | | | | | | simplifying with (138), (154) gives:
% 58.48/9.34 | | | | | | | | | | | | (165) all_28_57 = all_28_71
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | COMBINE_EQS: (164), (165) imply:
% 58.48/9.34 | | | | | | | | | | | | (166) all_28_71 = e21
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | COMBINE_EQS: (162), (163) imply:
% 58.48/9.34 | | | | | | | | | | | | (167) all_28_68 = e20
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | SIMP: (167) implies:
% 58.48/9.34 | | | | | | | | | | | | (168) all_28_68 = e20
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | BETA: splitting (78) gives:
% 58.48/9.34 | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | (169) all_26_15 = e20
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | COMBINE_EQS: (70), (169) imply:
% 58.48/9.34 | | | | | | | | | | | | | (170) all_10_1 = e20
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | COMBINE_EQS: (5), (170) imply:
% 58.48/9.34 | | | | | | | | | | | | | (171) all_22_31 = e20
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | REDUCE: (80), (170) imply:
% 58.48/9.34 | | | | | | | | | | | | | (172) ~ (all_14_14 = e20)
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | REDUCE: (21), (170) imply:
% 58.48/9.34 | | | | | | | | | | | | | (173) ~ (e23 = e20)
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | REDUCE: (48), (170) imply:
% 58.48/9.34 | | | | | | | | | | | | | (174) ~ (e22 = e20)
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | BETA: splitting (56) gives:
% 58.48/9.34 | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | (175) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.34 | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.34 | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.34 | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.48/9.34 | | | | | | | | | | | | | | e21)) | (all_22_5 = e21 & all_22_17 = e21 & ~
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 58.48/9.34 | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | (all_22_31 = e23))
% 58.48/9.34 | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 58.48/9.34 | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | (176) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.34 | | | | | | | | | | | | | | | & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.34 | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.34 | | | | | | | | | | | | | | | e21) & ~ (all_22_21 = e21) & ~ (all_22_31 =
% 58.48/9.34 | | | | | | | | | | | | | | | e21))
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | (177) all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 58.48/9.34 | | | | | | | | | | | | | | | | (178) all_22_9 = e23
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (178) imply:
% 58.48/9.34 | | | | | | | | | | | | | | | | (179) e23 = e20
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | SIMP: (179) implies:
% 58.48/9.34 | | | | | | | | | | | | | | | | (180) e23 = e20
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | REDUCE: (13), (180) imply:
% 58.48/9.34 | | | | | | | | | | | | | | | | (181) $false
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | (182) (all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_5 = e23
% 58.48/9.34 | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | (183) all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 58.48/9.34 | | | | | | | | | | | | | | | | | (184) all_22_9 = e22
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (184) imply:
% 58.48/9.34 | | | | | | | | | | | | | | | | | (185) e22 = e20
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 58.48/9.34 | | | | | | | | | | | | | | | | | (186) e22 = e20
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | REDUCE: (87), (186) imply:
% 58.48/9.34 | | | | | | | | | | | | | | | | | (187) $false
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | (188) all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (188) are inconsistent by sub-proof
% 58.48/9.34 | | | | | | | | | | | | | | | | | #25.
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | End of split
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | End of split
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | (189) (all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)) | (all_22_7 = e23
% 58.48/9.34 | | | | | | | | | | | | | | | & all_22_25 = e23 & ~ (all_22_1 = e20) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_7 = e20 & all_22_25
% 58.48/9.34 | | | | | | | | | | | | | | | = e20 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 58.48/9.34 | | | | | | | | | | | | | | | e23) & ~ (all_22_21 = e23) & ~ (all_22_31 =
% 58.48/9.34 | | | | | | | | | | | | | | | e23))
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 58.48/9.34 | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | (190) all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | REF_CLOSE: (29), (50), (190) are inconsistent by sub-proof
% 58.48/9.34 | | | | | | | | | | | | | | | | #23.
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | (191) (all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)) | (all_22_7 = e20
% 58.48/9.34 | | | | | | | | | | | | | | | | & all_22_25 = e20 & ~ (all_22_1 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~
% 58.48/9.34 | | | | | | | | | | | | | | | | (all_22_31 = e23))
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 58.48/9.34 | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | (192) all_22_7 = e23 & all_22_25 = e23 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 58.48/9.34 | | | | | | | | | | | | | | | | | (193) ~ (all_22_31 = e20)
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | REDUCE: (171), (193) imply:
% 58.48/9.34 | | | | | | | | | | | | | | | | | (194) $false
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | (195) all_22_7 = e20 & all_22_25 = e20 & ~ (all_22_1 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e23) & ~ (all_22_21 =
% 58.48/9.34 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_31 = e23)
% 58.48/9.34 | | | | | | | | | | | | | | | | |
% 58.48/9.34 | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (196) all_22_25 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (196) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (197) e23 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | SIMP: (197) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (198) e23 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (13), (198) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (199) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | (200) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.48/9.35 | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.48/9.35 | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.48/9.35 | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.35 | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_15 = e20 &
% 58.48/9.35 | | | | | | | | | | | | | | all_22_27 = e20 & ~ (all_22_1 = e22) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_23 = e21 &
% 58.48/9.35 | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.35 | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.35 | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | (201) (all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1
% 58.48/9.35 | | | | | | | | | | | | | | | = e21) & ~ (all_22_11 = e21) & ~ (all_22_21
% 58.48/9.35 | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e21)) | (all_22_13 =
% 58.48/9.35 | | | | | | | | | | | | | | | e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_21 = e22) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_31 = e22)) | (all_22_15 = e22 &
% 58.48/9.35 | | | | | | | | | | | | | | | all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | (202) all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 =
% 58.48/9.35 | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.35 | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | REF_CLOSE: (23), (73), (202) are inconsistent by sub-proof
% 58.48/9.35 | | | | | | | | | | | | | | | | #18.
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | (203) (all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1
% 58.48/9.35 | | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.48/9.35 | | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_15 =
% 58.48/9.35 | | | | | | | | | | | | | | | | e22 & all_22_27 = e22 & ~ (all_22_1 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | (204) all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (204) are inconsistent by sub-proof
% 58.48/9.35 | | | | | | | | | | | | | | | | | #17.
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | (205) all_22_15 = e22 & all_22_27 = e22 & ~ (all_22_1 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (206) ~ (all_22_31 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (171), (206) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (207) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | (208) (all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1
% 58.48/9.35 | | | | | | | | | | | | | | | = e22) & ~ (all_22_11 = e22) & ~ (all_22_21
% 58.48/9.35 | | | | | | | | | | | | | | | = e22) & ~ (all_22_31 = e22)) | (all_22_23 =
% 58.48/9.35 | | | | | | | | | | | | | | | e21 & all_22_29 = e21 & ~ (all_22_1 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_11 = e20) & ~ (all_22_21 = e20) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.48/9.35 | | | | | | | | | | | | | | | all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | (209) all_22_15 = e20 & all_22_27 = e20 & ~ (all_22_1 =
% 58.48/9.35 | | | | | | | | | | | | | | | | e22) & ~ (all_22_11 = e22) & ~ (all_22_21 =
% 58.48/9.35 | | | | | | | | | | | | | | | | e22) & ~ (all_22_31 = e22)
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | (210) all_22_27 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (210) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | (211) e22 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | (212) e22 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | REDUCE: (87), (212) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | (213) $false
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | (214) (all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1
% 58.48/9.35 | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e20) & ~ (all_22_21
% 58.48/9.35 | | | | | | | | | | | | | | | | = e20) & ~ (all_22_31 = e20)) | (all_22_23 =
% 58.48/9.35 | | | | | | | | | | | | | | | | e20 & all_22_29 = e20 & ~ (all_22_1 = e21) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~
% 58.48/9.35 | | | | | | | | | | | | | | | | (all_22_31 = e21))
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | (215) all_22_23 = e21 & all_22_29 = e21 & ~ (all_22_1 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e20) & ~ (all_22_21 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e20) & ~ (all_22_31 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (216) ~ (all_22_31 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (171), (216) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (217) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | (218) all_22_23 = e20 & all_22_29 = e20 & ~ (all_22_1 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.35 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e21)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (219) all_22_29 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (219) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (220) all_14_14 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (172), (220) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (221) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | End of split
% 58.48/9.35 | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | (222) ~ (all_26_15 = e20)
% 58.48/9.35 | | | | | | | | | | | | | (223) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 58.48/9.35 | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 58.48/9.35 | | | | | | | | | | | | | all_26_14 = e20)
% 58.48/9.35 | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | ALPHA: (223) implies:
% 58.48/9.35 | | | | | | | | | | | | | (224) all_26_12 = e20 | all_26_13 = e20 | all_26_14 =
% 58.48/9.35 | | | | | | | | | | | | | e20
% 58.48/9.35 | | | | | | | | | | | | | (225) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 58.48/9.35 | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | REDUCE: (70), (222) imply:
% 58.48/9.35 | | | | | | | | | | | | | (226) ~ (all_10_1 = e20)
% 58.48/9.35 | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | BETA: splitting (51) gives:
% 58.48/9.35 | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | (227) all_18_15 = e22
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | COMBINE_EQS: (7), (227) imply:
% 58.48/9.35 | | | | | | | | | | | | | | (228) all_10_1 = e22
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | REDUCE: (48), (228) imply:
% 58.48/9.35 | | | | | | | | | | | | | | (229) $false
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | (230) all_18_15 = e21 | all_18_15 = e20
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 58.48/9.35 | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | (231) all_18_15 = e21
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | COMBINE_EQS: (7), (231) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | (232) all_10_1 = e21
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | COMBINE_EQS: (17), (232) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | (233) all_28_69 = e21
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 58.48/9.35 | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | (234) all_26_12 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (234) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | (235) e23 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | REDUCE: (13), (235) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | (236) $false
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | (237) all_26_13 = e20 | all_26_14 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | (238) all_26_13 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (238) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (239) e22 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | SIMP: (239) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (240) e22 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (87), (240) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (241) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | (242) all_26_14 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (242) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (243) all_14_11 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | SIMP: (243) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (244) all_14_11 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (244) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (245) all_28_66 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (77), (244) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (246) ~ (all_4_1 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (247) ~ (all_4_1 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (55), (244) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (248) ~ (e23 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | REDUCE: (75), (244) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | (249) ~ (e22 = e20)
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | (250) all_26_9 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (250) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | (251) e23 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | (252) e23 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | REDUCE: (13), (252) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | (253) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | (254) all_26_10 = e20 | all_26_11 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | (255) all_18_10 = e22
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (255) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | (256) all_4_1 = e22
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | REDUCE: (67), (256) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | (257) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | CLOSE: (257) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | (258) all_18_10 = e21 | all_18_10 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | (259) all_18_10 = e21
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (259) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | (260) all_4_1 = e21
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (260) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | (261) all_28_56 = e21
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (262) all_26_10 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (262) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (263) e22 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (264) e22 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (264) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (265) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (266) all_26_11 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (266) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (267) all_14_14 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (268) all_14_14 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (268) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | (269) all_28_58 = e20
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | | (270) ~ (all_28_36 = all_28_37)
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (36), (270) imply:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | | (271) $false
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (271) is inconsistent.
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.35 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (272) ~ (all_28_38 = all_28_39) | ~ (all_28_40 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_44 = all_28_45) | ~ (all_28_46 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (273) ~ (all_28_38 = all_28_39)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (95), (273) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (274) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (274) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (275) ~ (all_28_40 = all_28_41) | ~ (all_28_42 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_28_43) | ~ (all_28_44 = all_28_45) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_46 = all_28_47) | ~ (all_28_48 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (276) ~ (all_28_40 = all_28_41)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (49), (276) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (277) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (277) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (278) ~ (all_28_42 = all_28_43) | ~ (all_28_44 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_48 = all_28_49) | ~ (all_28_50 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (279) ~ (all_28_42 = all_28_43)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (52), (279) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (280) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (280) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (281) ~ (all_28_44 = all_28_45) | ~ (all_28_46 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_28_47) | ~ (all_28_48 = all_28_49) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_50 = all_28_51) | ~ (all_28_52 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (282) ~ (all_28_44 = all_28_45)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (63), (282) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (283) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (284) ~ (all_28_46 = all_28_47) | ~ (all_28_48 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) ~ (all_28_46 = all_28_47)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (64), (285) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) ~ (all_28_48 = all_28_49) | ~ (all_28_50 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_51) | ~ (all_28_52 = all_28_53) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_54 = all_28_55) | ~ (all_28_56 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) ~ (all_28_48 = all_28_49)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (69), (288) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) ~ (all_28_50 = all_28_51) | ~ (all_28_52 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) ~ (all_28_50 = all_28_51)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (44), (291) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (292) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) ~ (all_28_52 = all_28_53) | ~ (all_28_54 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_55) | ~ (all_28_56 = all_28_57) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) ~ (all_28_52 = all_28_53)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (62), (294) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (295) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) ~ (all_28_54 = all_28_55) | ~ (all_28_56 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) ~ (all_28_54 = all_28_55)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (54), (297) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (298) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) ~ (all_28_56 = all_28_57) | ~ (all_28_58 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_59) | ~ (all_28_60 = all_28_62) | ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) ~ (all_28_56 = all_28_57)
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (261), (300) imply:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) $false
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (301) is inconsistent.
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) ~ (all_28_58 = all_28_59) | ~ (all_28_60 =
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) ~ (all_28_58 = all_28_59)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (269), (303) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) ~ (all_28_60 = all_28_62) | ~ (all_28_63 =
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_65) | ~ (all_28_66 = all_28_68) | ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23) &
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) ~ (all_28_60 = all_28_62)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (82), (306) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) ~ (all_28_63 = all_28_65) | ~ (all_28_66 =
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) ~ (all_28_63 = all_28_65)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (92), (309) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (310) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) ~ (all_28_66 = all_28_68) | ~ (all_28_69 =
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_71) | ( ~ (all_28_61 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e23) & ~ (all_28_67 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) ~ (all_28_66 = all_28_68)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (245), (312) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (313) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) ~ (all_28_69 = all_28_71) | ( ~ (all_28_61 = e23)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) &
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_64 = e22) & ~ (all_28_67 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e22)) | ( ~ (all_28_61 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e21) & ~ (all_28_67 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_64 = e20) & ~ (all_28_67 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (all_28_69 = all_28_71)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (233), (315) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (316) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) ( ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) ~ (all_28_61 = e23) & ~ (all_28_64 = e23) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e23) & ~ (all_28_70 = e23)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) ~ (all_28_64 = e23)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (320) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (321) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) ~ (all_28_61 = e22) & ~ (all_28_64 = e22) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e22) & ~ (all_28_70 = e22)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) ~ (all_28_61 = e22)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (323) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) ( ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)) | ( ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20))
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) ~ (all_28_61 = e21) & ~ (all_28_64 = e21) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e21) & ~ (all_28_70 = e21)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (326) implies:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) ~ (all_28_67 = e21)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (327) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) ~ (all_28_61 = e20) & ~ (all_28_64 = e20) & ~
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_67 = e20) & ~ (all_28_70 = e20)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) ~ (all_28_70 = e20)
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (330) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | (332) all_18_10 = e20
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (332) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | (333) all_4_1 = e20
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (247), (333) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | (334) $false
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | (335) all_18_15 = e20
% 58.48/9.37 | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | COMBINE_EQS: (7), (335) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | (336) all_10_1 = e20
% 58.48/9.37 | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | REDUCE: (226), (336) imply:
% 58.48/9.37 | | | | | | | | | | | | | | | (337) $false
% 58.48/9.37 | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 58.48/9.37 | | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | Case 2:
% 58.48/9.37 | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | (338) all_24_11 = e11
% 58.48/9.37 | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | COMBINE_EQS: (114), (338) imply:
% 58.48/9.37 | | | | | | | | | | (339) e11 = e10
% 58.48/9.37 | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | REDUCE: (98), (339) imply:
% 58.48/9.37 | | | | | | | | | | (340) $false
% 58.48/9.37 | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | | CLOSE: (340) is inconsistent.
% 58.48/9.37 | | | | | | | | | |
% 58.48/9.37 | | | | | | | | | End of split
% 58.48/9.37 | | | | | | | | |
% 58.48/9.37 | | | | | | | | End of split
% 58.48/9.37 | | | | | | | |
% 58.48/9.37 | | | | | | | End of split
% 58.48/9.37 | | | | | | |
% 58.48/9.37 | | | | | | End of split
% 58.48/9.37 | | | | | |
% 58.48/9.37 | | | | | End of split
% 58.48/9.37 | | | | |
% 58.48/9.37 | | | | End of split
% 58.48/9.37 | | | |
% 58.48/9.37 | | | End of split
% 58.48/9.37 | | |
% 58.48/9.37 | | End of split
% 58.48/9.37 | |
% 58.48/9.37 | End of split
% 58.48/9.37 |
% 58.48/9.37 End of proof
% 58.48/9.37
% 58.48/9.37 Sub-proof #17 shows that the following formulas are inconsistent:
% 58.48/9.37 ----------------------------------------------------------------
% 58.48/9.37 (1) all_22_13 = e21 & all_22_19 = e21 & ~ (all_22_1 = e22) & ~ (all_22_11 =
% 58.48/9.37 e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)
% 58.48/9.37 (2) all_22_19 = e23
% 58.48/9.37 (3) ~ (e23 = e21)
% 58.48/9.37
% 58.48/9.37 Begin of proof
% 58.48/9.37 |
% 58.48/9.37 | ALPHA: (1) implies:
% 58.48/9.37 | (4) all_22_19 = e21
% 58.48/9.37 |
% 58.48/9.37 | COMBINE_EQS: (2), (4) imply:
% 58.48/9.37 | (5) e23 = e21
% 58.48/9.37 |
% 58.48/9.37 | REDUCE: (3), (5) imply:
% 58.48/9.37 | (6) $false
% 58.48/9.37 |
% 58.48/9.37 | CLOSE: (6) is inconsistent.
% 58.48/9.37 |
% 58.48/9.37 End of proof
% 58.48/9.37
% 58.48/9.37 Sub-proof #18 shows that the following formulas are inconsistent:
% 58.48/9.37 ----------------------------------------------------------------
% 58.48/9.37 (1) all_22_13 = e22 & all_22_19 = e22 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 58.48/9.37 e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21)
% 58.48/9.37 (2) all_22_19 = e23
% 58.48/9.37 (3) ~ (e23 = e22)
% 58.48/9.37
% 58.48/9.37 Begin of proof
% 58.48/9.37 |
% 58.48/9.37 | ALPHA: (1) implies:
% 58.48/9.37 | (4) all_22_19 = e22
% 58.48/9.37 |
% 58.48/9.37 | COMBINE_EQS: (2), (4) imply:
% 58.48/9.37 | (5) e23 = e22
% 58.48/9.37 |
% 58.48/9.37 | REDUCE: (3), (5) imply:
% 58.48/9.37 | (6) $false
% 58.48/9.37 |
% 58.48/9.37 | CLOSE: (6) is inconsistent.
% 58.48/9.37 |
% 58.48/9.37 End of proof
% 58.48/9.37
% 58.48/9.37 Sub-proof #19 shows that the following formulas are inconsistent:
% 58.48/9.37 ----------------------------------------------------------------
% 58.48/9.37 (1) all_16_14 = all_12_11
% 58.48/9.37 (2) all_16_14 = e11
% 58.48/9.37 (3) ~ (all_12_11 = e11)
% 58.48/9.37
% 58.48/9.37 Begin of proof
% 58.48/9.37 |
% 58.48/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.48/9.37 | (4) all_12_11 = e11
% 58.48/9.37 |
% 58.48/9.37 | SIMP: (4) implies:
% 58.48/9.37 | (5) all_12_11 = e11
% 58.48/9.37 |
% 58.48/9.37 | REDUCE: (3), (5) imply:
% 58.48/9.37 | (6) $false
% 58.48/9.37 |
% 58.48/9.37 | CLOSE: (6) is inconsistent.
% 58.48/9.37 |
% 58.48/9.37 End of proof
% 58.48/9.37
% 58.48/9.37 Sub-proof #20 shows that the following formulas are inconsistent:
% 58.48/9.37 ----------------------------------------------------------------
% 58.48/9.37 (1) all_16_14 = all_12_11
% 58.48/9.37 (2) all_16_14 = e12
% 58.48/9.37 (3) ~ (all_12_11 = e12)
% 58.48/9.37
% 58.48/9.37 Begin of proof
% 58.48/9.37 |
% 58.48/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.48/9.37 | (4) all_12_11 = e12
% 58.48/9.37 |
% 58.48/9.37 | SIMP: (4) implies:
% 58.48/9.37 | (5) all_12_11 = e12
% 58.48/9.37 |
% 58.48/9.37 | REDUCE: (3), (5) imply:
% 58.48/9.37 | (6) $false
% 58.48/9.37 |
% 58.48/9.37 | CLOSE: (6) is inconsistent.
% 58.48/9.37 |
% 58.48/9.37 End of proof
% 58.48/9.37
% 58.48/9.37 Sub-proof #21 shows that the following formulas are inconsistent:
% 58.48/9.37 ----------------------------------------------------------------
% 58.48/9.37 (1) all_18_5 = all_6_1
% 58.48/9.38 (2) ~ (all_6_1 = e22)
% 58.48/9.38 (3) ~ (all_6_1 = e21)
% 58.48/9.38 (4) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 58.48/9.38 (5) ~ (all_6_1 = e20)
% 58.48/9.38
% 58.48/9.38 Begin of proof
% 58.48/9.38 |
% 58.48/9.38 | BETA: splitting (4) gives:
% 58.48/9.38 |
% 58.48/9.38 | Case 1:
% 58.48/9.38 | |
% 58.48/9.38 | | (6) all_18_5 = e22
% 58.48/9.38 | |
% 58.48/9.38 | | COMBINE_EQS: (1), (6) imply:
% 58.48/9.38 | | (7) all_6_1 = e22
% 58.48/9.38 | |
% 58.48/9.38 | | REDUCE: (2), (7) imply:
% 58.48/9.38 | | (8) $false
% 58.48/9.38 | |
% 58.48/9.38 | | CLOSE: (8) is inconsistent.
% 58.48/9.38 | |
% 58.48/9.38 | Case 2:
% 58.48/9.38 | |
% 58.48/9.38 | | (9) all_18_5 = e21 | all_18_5 = e20
% 58.48/9.38 | |
% 58.48/9.38 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #22.
% 58.48/9.38 | |
% 58.48/9.38 | End of split
% 58.48/9.38 |
% 58.48/9.38 End of proof
% 58.48/9.38
% 58.48/9.38 Sub-proof #22 shows that the following formulas are inconsistent:
% 58.48/9.38 ----------------------------------------------------------------
% 58.48/9.38 (1) all_18_5 = e21 | all_18_5 = e20
% 58.48/9.38 (2) all_18_5 = all_6_1
% 58.48/9.38 (3) ~ (all_6_1 = e21)
% 58.48/9.38 (4) ~ (all_6_1 = e20)
% 58.48/9.38
% 58.48/9.38 Begin of proof
% 58.48/9.38 |
% 58.48/9.38 | BETA: splitting (1) gives:
% 58.48/9.38 |
% 58.48/9.38 | Case 1:
% 58.48/9.38 | |
% 58.48/9.38 | | (5) all_18_5 = e21
% 58.48/9.38 | |
% 58.48/9.38 | | COMBINE_EQS: (2), (5) imply:
% 58.48/9.38 | | (6) all_6_1 = e21
% 58.48/9.38 | |
% 58.48/9.38 | | REDUCE: (3), (6) imply:
% 58.48/9.38 | | (7) $false
% 58.48/9.38 | |
% 58.48/9.38 | | CLOSE: (7) is inconsistent.
% 58.48/9.38 | |
% 58.48/9.38 | Case 2:
% 58.48/9.38 | |
% 58.48/9.38 | | (8) all_18_5 = e20
% 58.48/9.38 | |
% 58.48/9.38 | | COMBINE_EQS: (2), (8) imply:
% 58.48/9.38 | | (9) all_6_1 = e20
% 58.48/9.38 | |
% 58.48/9.38 | | REDUCE: (4), (9) imply:
% 58.48/9.38 | | (10) $false
% 58.48/9.38 | |
% 58.48/9.38 | | CLOSE: (10) is inconsistent.
% 58.48/9.38 | |
% 58.48/9.38 | End of split
% 58.48/9.38 |
% 58.48/9.38 End of proof
% 58.48/9.38
% 58.48/9.38 Sub-proof #23 shows that the following formulas are inconsistent:
% 58.48/9.38 ----------------------------------------------------------------
% 58.48/9.38 (1) all_22_5 = e21 & all_22_17 = e21 & ~ (all_22_1 = e23) & ~ (all_22_11 =
% 58.48/9.38 e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)
% 58.48/9.38 (2) all_22_17 = e22
% 58.48/9.38 (3) ~ (e22 = e21)
% 58.48/9.38
% 58.48/9.38 Begin of proof
% 58.48/9.38 |
% 58.48/9.38 | ALPHA: (1) implies:
% 58.48/9.38 | (4) all_22_17 = e21
% 58.48/9.38 |
% 58.48/9.38 | COMBINE_EQS: (2), (4) imply:
% 58.48/9.38 | (5) e22 = e21
% 58.48/9.38 |
% 58.48/9.38 | REDUCE: (3), (5) imply:
% 58.48/9.38 | (6) $false
% 58.48/9.38 |
% 58.48/9.38 | CLOSE: (6) is inconsistent.
% 58.48/9.38 |
% 58.48/9.38 End of proof
% 58.48/9.38
% 58.48/9.38 Sub-proof #24 shows that the following formulas are inconsistent:
% 58.48/9.38 ----------------------------------------------------------------
% 58.48/9.38 (1) all_22_3 = e20
% 58.48/9.38 (2) ~ (e23 = e20)
% 58.48/9.38 (3) all_22_17 = e22
% 58.48/9.38 (4) (all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_11 =
% 58.48/9.38 e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)) | (all_22_3 = e22
% 58.48/9.38 & all_22_9 = e22 & ~ (all_22_1 = e23) & ~ (all_22_11 = e23) & ~
% 58.48/9.38 (all_22_21 = e23) & ~ (all_22_31 = e23)) | (all_22_5 = e23 & all_22_17
% 58.48/9.38 = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 = e21) & ~ (all_22_21 =
% 58.48/9.38 e21) & ~ (all_22_31 = e21))
% 58.48/9.38 (5) ~ (e23 = e22)
% 58.48/9.38 (6) ~ (e22 = e20)
% 58.48/9.38
% 58.48/9.38 Begin of proof
% 58.48/9.38 |
% 58.48/9.38 | BETA: splitting (4) gives:
% 58.48/9.38 |
% 58.48/9.38 | Case 1:
% 58.48/9.38 | |
% 58.48/9.38 | | (7) all_22_3 = e23 & all_22_9 = e23 & ~ (all_22_1 = e22) & ~ (all_22_11
% 58.48/9.38 | | = e22) & ~ (all_22_21 = e22) & ~ (all_22_31 = e22)
% 58.48/9.38 | |
% 58.48/9.38 | | ALPHA: (7) implies:
% 58.48/9.38 | | (8) all_22_3 = e23
% 58.48/9.38 | |
% 58.48/9.38 | | COMBINE_EQS: (1), (8) imply:
% 58.48/9.38 | | (9) e23 = e20
% 58.48/9.38 | |
% 58.48/9.38 | | REDUCE: (2), (9) imply:
% 58.48/9.38 | | (10) $false
% 58.48/9.38 | |
% 58.48/9.38 | | CLOSE: (10) is inconsistent.
% 58.48/9.38 | |
% 58.48/9.38 | Case 2:
% 58.48/9.38 | |
% 58.48/9.38 | | (11) (all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.38 | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)) |
% 58.48/9.38 | | (all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 58.48/9.38 | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21))
% 58.48/9.38 | |
% 58.48/9.38 | | BETA: splitting (11) gives:
% 58.48/9.38 | |
% 58.48/9.38 | | Case 1:
% 58.48/9.38 | | |
% 58.48/9.38 | | | (12) all_22_3 = e22 & all_22_9 = e22 & ~ (all_22_1 = e23) & ~
% 58.48/9.38 | | | (all_22_11 = e23) & ~ (all_22_21 = e23) & ~ (all_22_31 = e23)
% 58.48/9.38 | | |
% 58.48/9.38 | | | ALPHA: (12) implies:
% 58.48/9.38 | | | (13) all_22_3 = e22
% 58.48/9.38 | | |
% 58.48/9.38 | | | COMBINE_EQS: (1), (13) imply:
% 58.48/9.38 | | | (14) e22 = e20
% 58.48/9.38 | | |
% 58.48/9.38 | | | REDUCE: (6), (14) imply:
% 58.48/9.38 | | | (15) $false
% 58.48/9.38 | | |
% 58.48/9.38 | | | CLOSE: (15) is inconsistent.
% 58.48/9.38 | | |
% 58.48/9.38 | | Case 2:
% 58.48/9.38 | | |
% 59.32/9.38 | | | (16) all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 = e21) & ~
% 59.32/9.38 | | | (all_22_11 = e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21)
% 59.32/9.38 | | |
% 59.32/9.38 | | | REF_CLOSE: (3), (5), (16) are inconsistent by sub-proof #25.
% 59.32/9.38 | | |
% 59.32/9.38 | | End of split
% 59.32/9.38 | |
% 59.32/9.38 | End of split
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #25 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_22_5 = e23 & all_22_17 = e23 & ~ (all_22_1 = e21) & ~ (all_22_11 =
% 59.32/9.38 e21) & ~ (all_22_21 = e21) & ~ (all_22_31 = e21)
% 59.32/9.38 (2) all_22_17 = e22
% 59.32/9.38 (3) ~ (e23 = e22)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | ALPHA: (1) implies:
% 59.32/9.38 | (4) all_22_17 = e23
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.38 | (5) e23 = e22
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (5) implies:
% 59.32/9.38 | (6) e23 = e22
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (6) imply:
% 59.32/9.38 | (7) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (7) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #26 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_14 = all_12_11
% 59.32/9.38 (2) all_16_14 = e13
% 59.32/9.38 (3) ~ (all_12_11 = e13)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (1), (2) imply:
% 59.32/9.38 | (4) all_12_11 = e13
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (4) implies:
% 59.32/9.38 | (5) all_12_11 = e13
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #27 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_13 = all_12_7
% 59.32/9.38 (2) all_16_13 = e13
% 59.32/9.38 (3) ~ (all_12_7 = e13)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (1), (2) imply:
% 59.32/9.38 | (4) all_12_7 = e13
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (4) implies:
% 59.32/9.38 | (5) all_12_7 = e13
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #28 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_5 = all_12_5
% 59.32/9.38 (2) all_16_5 = e13
% 59.32/9.38 (3) ~ (all_12_5 = e13)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (1), (2) imply:
% 59.32/9.38 | (4) all_12_5 = e13
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (4) implies:
% 59.32/9.38 | (5) all_12_5 = e13
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #29 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_1 = all_12_4
% 59.32/9.38 (2) all_16_1 = e11
% 59.32/9.38 (3) ~ (all_12_4 = e11)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (1), (2) imply:
% 59.32/9.38 | (4) all_12_4 = e11
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (4) implies:
% 59.32/9.38 | (5) all_12_4 = e11
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #30 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_1 = all_12_4
% 59.32/9.38 (2) all_16_1 = e12
% 59.32/9.38 (3) ~ (all_12_4 = e12)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (1), (2) imply:
% 59.32/9.38 | (4) all_12_4 = e12
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (4) implies:
% 59.32/9.38 | (5) all_12_4 = e12
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #31 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_12 = e11 | all_16_12 = e10
% 59.32/9.38 (2) all_16_12 = all_12_3
% 59.32/9.38 (3) ~ (all_12_3 = e11)
% 59.32/9.38 (4) ~ (all_12_3 = e10)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | BETA: splitting (1) gives:
% 59.32/9.38 |
% 59.32/9.38 | Case 1:
% 59.32/9.38 | |
% 59.32/9.38 | | (5) all_16_12 = e11
% 59.32/9.38 | |
% 59.32/9.38 | | COMBINE_EQS: (2), (5) imply:
% 59.32/9.38 | | (6) all_12_3 = e11
% 59.32/9.38 | |
% 59.32/9.38 | | REDUCE: (3), (6) imply:
% 59.32/9.38 | | (7) $false
% 59.32/9.38 | |
% 59.32/9.38 | | CLOSE: (7) is inconsistent.
% 59.32/9.38 | |
% 59.32/9.38 | Case 2:
% 59.32/9.38 | |
% 59.32/9.38 | | (8) all_16_12 = e10
% 59.32/9.38 | |
% 59.32/9.38 | | COMBINE_EQS: (2), (8) imply:
% 59.32/9.38 | | (9) all_12_3 = e10
% 59.32/9.38 | |
% 59.32/9.38 | | REDUCE: (4), (9) imply:
% 59.32/9.38 | | (10) $false
% 59.32/9.38 | |
% 59.32/9.38 | | CLOSE: (10) is inconsistent.
% 59.32/9.38 | |
% 59.32/9.38 | End of split
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #32 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) ~ (all_12_10 = e12)
% 59.32/9.38 (2) ~ (all_12_10 = e11)
% 59.32/9.38 (3) ~ (all_12_10 = e10)
% 59.32/9.38 (4) all_16_10 = all_12_10
% 59.32/9.38 (5) all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | BETA: splitting (5) gives:
% 59.32/9.38 |
% 59.32/9.38 | Case 1:
% 59.32/9.38 | |
% 59.32/9.38 | | (6) all_16_10 = e12
% 59.32/9.38 | |
% 59.32/9.38 | | COMBINE_EQS: (4), (6) imply:
% 59.32/9.38 | | (7) all_12_10 = e12
% 59.32/9.38 | |
% 59.32/9.38 | | SIMP: (7) implies:
% 59.32/9.38 | | (8) all_12_10 = e12
% 59.32/9.38 | |
% 59.32/9.38 | | REDUCE: (1), (8) imply:
% 59.32/9.38 | | (9) $false
% 59.32/9.38 | |
% 59.32/9.38 | | CLOSE: (9) is inconsistent.
% 59.32/9.38 | |
% 59.32/9.38 | Case 2:
% 59.32/9.38 | |
% 59.32/9.38 | | (10) all_16_10 = e11 | all_16_10 = e10
% 59.32/9.38 | |
% 59.32/9.38 | | BETA: splitting (10) gives:
% 59.32/9.38 | |
% 59.32/9.38 | | Case 1:
% 59.32/9.38 | | |
% 59.32/9.38 | | | (11) all_16_10 = e11
% 59.32/9.38 | | |
% 59.32/9.38 | | | COMBINE_EQS: (4), (11) imply:
% 59.32/9.38 | | | (12) all_12_10 = e11
% 59.32/9.38 | | |
% 59.32/9.38 | | | SIMP: (12) implies:
% 59.32/9.38 | | | (13) all_12_10 = e11
% 59.32/9.38 | | |
% 59.32/9.38 | | | REDUCE: (2), (13) imply:
% 59.32/9.38 | | | (14) $false
% 59.32/9.38 | | |
% 59.32/9.38 | | | CLOSE: (14) is inconsistent.
% 59.32/9.38 | | |
% 59.32/9.38 | | Case 2:
% 59.32/9.38 | | |
% 59.32/9.38 | | | (15) all_16_10 = e10
% 59.32/9.38 | | |
% 59.32/9.38 | | | COMBINE_EQS: (4), (15) imply:
% 59.32/9.38 | | | (16) all_12_10 = e10
% 59.32/9.38 | | |
% 59.32/9.38 | | | SIMP: (16) implies:
% 59.32/9.38 | | | (17) all_12_10 = e10
% 59.32/9.38 | | |
% 59.32/9.38 | | | REDUCE: (3), (17) imply:
% 59.32/9.38 | | | (18) $false
% 59.32/9.38 | | |
% 59.32/9.38 | | | CLOSE: (18) is inconsistent.
% 59.32/9.38 | | |
% 59.32/9.38 | | End of split
% 59.32/9.38 | |
% 59.32/9.38 | End of split
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #33 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_16_10 = all_12_10
% 59.32/9.38 (2) all_16_10 = e13
% 59.32/9.38 (3) ~ (all_12_10 = e13)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (1), (2) imply:
% 59.32/9.38 | (4) all_12_10 = e13
% 59.32/9.38 |
% 59.32/9.38 | SIMP: (4) implies:
% 59.32/9.38 | (5) all_12_10 = e13
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #34 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.38 (1) all_20_15 = e10 & all_20_27 = e10 & ~ (all_20_1 = e12) & ~ (all_20_11 =
% 59.32/9.38 e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)
% 59.32/9.38 (2) all_20_27 = all_12_13
% 59.32/9.38 (3) ~ (all_12_13 = e10)
% 59.32/9.38
% 59.32/9.38 Begin of proof
% 59.32/9.38 |
% 59.32/9.38 | ALPHA: (1) implies:
% 59.32/9.38 | (4) all_20_27 = e10
% 59.32/9.38 |
% 59.32/9.38 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.38 | (5) all_12_13 = e10
% 59.32/9.38 |
% 59.32/9.38 | REDUCE: (3), (5) imply:
% 59.32/9.38 | (6) $false
% 59.32/9.38 |
% 59.32/9.38 | CLOSE: (6) is inconsistent.
% 59.32/9.38 |
% 59.32/9.38 End of proof
% 59.32/9.38
% 59.32/9.38 Sub-proof #35 shows that the following formulas are inconsistent:
% 59.32/9.38 ----------------------------------------------------------------
% 59.32/9.39 (1) all_20_15 = e12 & all_20_27 = e12 & ~ (all_20_1 = e10) & ~ (all_20_11 =
% 59.32/9.39 e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)
% 59.32/9.39 (2) all_20_15 = all_12_7
% 59.32/9.39 (3) ~ (all_12_7 = e12)
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | ALPHA: (1) implies:
% 59.32/9.39 | (4) all_20_15 = e12
% 59.32/9.39 |
% 59.32/9.39 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.39 | (5) all_12_7 = e12
% 59.32/9.39 |
% 59.32/9.39 | REDUCE: (3), (5) imply:
% 59.32/9.39 | (6) $false
% 59.32/9.39 |
% 59.32/9.39 | CLOSE: (6) is inconsistent.
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39
% 59.32/9.39 Sub-proof #36 shows that the following formulas are inconsistent:
% 59.32/9.39 ----------------------------------------------------------------
% 59.32/9.39 (1) all_20_13 = e11 & all_20_19 = e11 & ~ (all_20_1 = e12) & ~ (all_20_11 =
% 59.32/9.39 e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)
% 59.32/9.39 (2) all_20_19 = e13
% 59.32/9.39 (3) ~ (e13 = e11)
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | ALPHA: (1) implies:
% 59.32/9.39 | (4) all_20_19 = e11
% 59.32/9.39 |
% 59.32/9.39 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.39 | (5) e13 = e11
% 59.32/9.39 |
% 59.32/9.39 | SIMP: (5) implies:
% 59.32/9.39 | (6) e13 = e11
% 59.32/9.39 |
% 59.32/9.39 | REDUCE: (3), (6) imply:
% 59.32/9.39 | (7) $false
% 59.32/9.39 |
% 59.32/9.39 | CLOSE: (7) is inconsistent.
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39
% 59.32/9.39 Sub-proof #37 shows that the following formulas are inconsistent:
% 59.32/9.39 ----------------------------------------------------------------
% 59.32/9.39 (1) all_20_13 = e12 & all_20_19 = e12 & ~ (all_20_1 = e11) & ~ (all_20_11 =
% 59.32/9.39 e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)
% 59.32/9.39 (2) all_20_19 = e13
% 59.32/9.39 (3) ~ (e13 = e12)
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | ALPHA: (1) implies:
% 59.32/9.39 | (4) all_20_19 = e12
% 59.32/9.39 |
% 59.32/9.39 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.39 | (5) e13 = e12
% 59.32/9.39 |
% 59.32/9.39 | SIMP: (5) implies:
% 59.32/9.39 | (6) e13 = e12
% 59.32/9.39 |
% 59.32/9.39 | REDUCE: (3), (6) imply:
% 59.32/9.39 | (7) $false
% 59.32/9.39 |
% 59.32/9.39 | CLOSE: (7) is inconsistent.
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39
% 59.32/9.39 Sub-proof #38 shows that the following formulas are inconsistent:
% 59.32/9.39 ----------------------------------------------------------------
% 59.32/9.39 (1) ~ (e12 = e10)
% 59.32/9.39 (2) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_11 =
% 59.32/9.39 e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 59.32/9.39 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~ (all_20_11 = e13) & ~
% 59.32/9.39 (all_20_21 = e13) & ~ (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 59.32/9.39 = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 59.32/9.39 e11) & ~ (all_20_31 = e11)) | (all_20_5 = e11 & all_20_17 = e11 & ~
% 59.32/9.39 (all_20_1 = e13) & ~ (all_20_11 = e13) & ~ (all_20_21 = e13) & ~
% 59.32/9.39 (all_20_31 = e13)) | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 =
% 59.32/9.39 e10) & ~ (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 =
% 59.32/9.39 e10)) | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 59.32/9.39 (3) all_20_17 = e12
% 59.32/9.39 (4) ~ (e13 = e12)
% 59.32/9.39 (5) all_20_7 = e12
% 59.32/9.39 (6) ~ (e12 = e11)
% 59.32/9.39 (7) ~ (e13 = e10)
% 59.32/9.39 (8) all_20_3 = e10
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | BETA: splitting (2) gives:
% 59.32/9.39 |
% 59.32/9.39 | Case 1:
% 59.32/9.39 | |
% 59.32/9.39 | | (9) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~
% 59.32/9.39 | | (all_20_11 = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) |
% 59.32/9.39 | | (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 59.32/9.39 | | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 59.32/9.39 | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 59.32/9.39 | |
% 59.32/9.39 | | REF_CLOSE: (1), (3), (4), (7), (8), (9) are inconsistent by sub-proof #40.
% 59.32/9.39 | |
% 59.32/9.39 | Case 2:
% 59.32/9.39 | |
% 59.32/9.39 | | (10) (all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 59.32/9.39 | | (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 59.32/9.39 | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)) |
% 59.32/9.39 | | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 59.32/9.39 | |
% 59.32/9.39 | | BETA: splitting (10) gives:
% 59.32/9.39 | |
% 59.32/9.39 | | Case 1:
% 59.32/9.39 | | |
% 59.32/9.39 | | | (11) all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)
% 59.32/9.39 | | |
% 59.32/9.39 | | | REF_CLOSE: (3), (6), (11) are inconsistent by sub-proof #39.
% 59.32/9.39 | | |
% 59.32/9.39 | | Case 2:
% 59.32/9.39 | | |
% 59.32/9.39 | | | (12) (all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 59.32/9.39 | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10))
% 59.32/9.39 | | | | (all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13))
% 59.32/9.39 | | |
% 59.32/9.39 | | | BETA: splitting (12) gives:
% 59.32/9.39 | | |
% 59.32/9.39 | | | Case 1:
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | (13) all_20_7 = e13 & all_20_25 = e13 & ~ (all_20_1 = e10) & ~
% 59.32/9.39 | | | | (all_20_11 = e10) & ~ (all_20_21 = e10) & ~ (all_20_31 = e10)
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | ALPHA: (13) implies:
% 59.32/9.39 | | | | (14) all_20_7 = e13
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | COMBINE_EQS: (5), (14) imply:
% 59.32/9.39 | | | | (15) e13 = e12
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | SIMP: (15) implies:
% 59.32/9.39 | | | | (16) e13 = e12
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | REDUCE: (4), (16) imply:
% 59.32/9.39 | | | | (17) $false
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | CLOSE: (17) is inconsistent.
% 59.32/9.39 | | | |
% 59.32/9.39 | | | Case 2:
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | (18) all_20_7 = e10 & all_20_25 = e10 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | ALPHA: (18) implies:
% 59.32/9.39 | | | | (19) all_20_7 = e10
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | COMBINE_EQS: (5), (19) imply:
% 59.32/9.39 | | | | (20) e12 = e10
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | REDUCE: (1), (20) imply:
% 59.32/9.39 | | | | (21) $false
% 59.32/9.39 | | | |
% 59.32/9.39 | | | | CLOSE: (21) is inconsistent.
% 59.32/9.39 | | | |
% 59.32/9.39 | | | End of split
% 59.32/9.39 | | |
% 59.32/9.39 | | End of split
% 59.32/9.39 | |
% 59.32/9.39 | End of split
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39
% 59.32/9.39 Sub-proof #39 shows that the following formulas are inconsistent:
% 59.32/9.39 ----------------------------------------------------------------
% 59.32/9.39 (1) all_20_5 = e11 & all_20_17 = e11 & ~ (all_20_1 = e13) & ~ (all_20_11 =
% 59.32/9.39 e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)
% 59.32/9.39 (2) all_20_17 = e12
% 59.32/9.39 (3) ~ (e12 = e11)
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | ALPHA: (1) implies:
% 59.32/9.39 | (4) all_20_17 = e11
% 59.32/9.39 |
% 59.32/9.39 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.39 | (5) e12 = e11
% 59.32/9.39 |
% 59.32/9.39 | SIMP: (5) implies:
% 59.32/9.39 | (6) e12 = e11
% 59.32/9.39 |
% 59.32/9.39 | REDUCE: (3), (6) imply:
% 59.32/9.39 | (7) $false
% 59.32/9.39 |
% 59.32/9.39 | CLOSE: (7) is inconsistent.
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39
% 59.32/9.39 Sub-proof #40 shows that the following formulas are inconsistent:
% 59.32/9.39 ----------------------------------------------------------------
% 59.32/9.39 (1) (all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_11 =
% 59.32/9.39 e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)) | (all_20_3 = e12
% 59.32/9.39 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~ (all_20_11 = e13) & ~
% 59.32/9.39 (all_20_21 = e13) & ~ (all_20_31 = e13)) | (all_20_5 = e13 & all_20_17
% 59.32/9.39 = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 = e11) & ~ (all_20_21 =
% 59.32/9.39 e11) & ~ (all_20_31 = e11))
% 59.32/9.39 (2) ~ (e12 = e10)
% 59.32/9.39 (3) all_20_17 = e12
% 59.32/9.39 (4) ~ (e13 = e12)
% 59.32/9.39 (5) ~ (e13 = e10)
% 59.32/9.39 (6) all_20_3 = e10
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | BETA: splitting (1) gives:
% 59.32/9.39 |
% 59.32/9.39 | Case 1:
% 59.32/9.39 | |
% 59.32/9.39 | | (7) all_20_3 = e13 & all_20_9 = e13 & ~ (all_20_1 = e12) & ~ (all_20_11
% 59.32/9.39 | | = e12) & ~ (all_20_21 = e12) & ~ (all_20_31 = e12)
% 59.32/9.39 | |
% 59.32/9.39 | | ALPHA: (7) implies:
% 59.32/9.39 | | (8) all_20_3 = e13
% 59.32/9.39 | |
% 59.32/9.39 | | COMBINE_EQS: (6), (8) imply:
% 59.32/9.39 | | (9) e13 = e10
% 59.32/9.39 | |
% 59.32/9.39 | | SIMP: (9) implies:
% 59.32/9.39 | | (10) e13 = e10
% 59.32/9.39 | |
% 59.32/9.39 | | REDUCE: (5), (10) imply:
% 59.32/9.39 | | (11) $false
% 59.32/9.39 | |
% 59.32/9.39 | | CLOSE: (11) is inconsistent.
% 59.32/9.39 | |
% 59.32/9.39 | Case 2:
% 59.32/9.39 | |
% 59.32/9.39 | | (12) (all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)) |
% 59.32/9.39 | | (all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 59.32/9.39 | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11))
% 59.32/9.39 | |
% 59.32/9.39 | | BETA: splitting (12) gives:
% 59.32/9.39 | |
% 59.32/9.39 | | Case 1:
% 59.32/9.39 | | |
% 59.32/9.39 | | | (13) all_20_3 = e12 & all_20_9 = e12 & ~ (all_20_1 = e13) & ~
% 59.32/9.39 | | | (all_20_11 = e13) & ~ (all_20_21 = e13) & ~ (all_20_31 = e13)
% 59.32/9.39 | | |
% 59.32/9.39 | | | ALPHA: (13) implies:
% 59.32/9.39 | | | (14) all_20_3 = e12
% 59.32/9.39 | | |
% 59.32/9.39 | | | COMBINE_EQS: (6), (14) imply:
% 59.32/9.39 | | | (15) e12 = e10
% 59.32/9.39 | | |
% 59.32/9.39 | | | SIMP: (15) implies:
% 59.32/9.39 | | | (16) e12 = e10
% 59.32/9.39 | | |
% 59.32/9.39 | | | REDUCE: (2), (16) imply:
% 59.32/9.39 | | | (17) $false
% 59.32/9.39 | | |
% 59.32/9.39 | | | CLOSE: (17) is inconsistent.
% 59.32/9.39 | | |
% 59.32/9.39 | | Case 2:
% 59.32/9.39 | | |
% 59.32/9.39 | | | (18) all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~
% 59.32/9.39 | | | (all_20_11 = e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)
% 59.32/9.39 | | |
% 59.32/9.39 | | | REF_CLOSE: (3), (4), (18) are inconsistent by sub-proof #41.
% 59.32/9.39 | | |
% 59.32/9.39 | | End of split
% 59.32/9.39 | |
% 59.32/9.39 | End of split
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39
% 59.32/9.39 Sub-proof #41 shows that the following formulas are inconsistent:
% 59.32/9.39 ----------------------------------------------------------------
% 59.32/9.39 (1) all_20_5 = e13 & all_20_17 = e13 & ~ (all_20_1 = e11) & ~ (all_20_11 =
% 59.32/9.39 e11) & ~ (all_20_21 = e11) & ~ (all_20_31 = e11)
% 59.32/9.39 (2) all_20_17 = e12
% 59.32/9.39 (3) ~ (e13 = e12)
% 59.32/9.39
% 59.32/9.39 Begin of proof
% 59.32/9.39 |
% 59.32/9.39 | ALPHA: (1) implies:
% 59.32/9.39 | (4) all_20_17 = e13
% 59.32/9.39 |
% 59.32/9.39 | COMBINE_EQS: (2), (4) imply:
% 59.32/9.39 | (5) e13 = e12
% 59.32/9.39 |
% 59.32/9.39 | REDUCE: (3), (5) imply:
% 59.32/9.39 | (6) $false
% 59.32/9.39 |
% 59.32/9.39 | CLOSE: (6) is inconsistent.
% 59.32/9.39 |
% 59.32/9.39 End of proof
% 59.32/9.39 % SZS output end Proof for theBenchmark
% 59.32/9.39
% 59.32/9.39 8793ms
%------------------------------------------------------------------------------