TSTP Solution File: ALG129+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG129+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 : n006.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 16:36:33 EDT 2023
% Result : Theorem 24.10s 4.01s
% Output : Proof 54.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG129+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 05:47:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.62 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 8.74/1.92 Prover 4: Preprocessing ...
% 9.05/1.96 Prover 2: Preprocessing ...
% 9.05/1.96 Prover 0: Preprocessing ...
% 9.05/1.96 Prover 3: Preprocessing ...
% 9.05/1.96 Prover 5: Preprocessing ...
% 9.05/1.99 Prover 6: Preprocessing ...
% 9.05/2.03 Prover 1: Preprocessing ...
% 16.59/3.01 Prover 2: Constructing countermodel ...
% 16.82/3.01 Prover 3: Constructing countermodel ...
% 16.82/3.02 Prover 1: Constructing countermodel ...
% 16.95/3.04 Prover 6: Constructing countermodel ...
% 16.95/3.04 Prover 4: Constructing countermodel ...
% 16.95/3.06 Prover 0: Constructing countermodel ...
% 20.62/3.68 Prover 5: Constructing countermodel ...
% 24.10/3.99 Prover 3: proved (3350ms)
% 24.10/4.00
% 24.10/4.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.10/4.01
% 24.10/4.01 Prover 6: stopped
% 24.10/4.01 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 24.10/4.01 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 24.28/4.01 Prover 2: stopped
% 24.28/4.02 Prover 0: stopped
% 24.40/4.03 Prover 5: stopped
% 24.40/4.03 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 24.40/4.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 24.40/4.04 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 28.57/4.64 Prover 8: Preprocessing ...
% 29.15/4.67 Prover 7: Preprocessing ...
% 29.15/4.67 Prover 10: Preprocessing ...
% 29.15/4.68 Prover 13: Preprocessing ...
% 29.15/4.68 Prover 11: Preprocessing ...
% 30.97/5.00 Prover 8: Constructing countermodel ...
% 30.97/5.08 Prover 10: Constructing countermodel ...
% 31.81/5.19 Prover 11: Constructing countermodel ...
% 31.81/5.20 Prover 7: Constructing countermodel ...
% 33.30/5.24 Prover 13: Constructing countermodel ...
% 47.31/7.04 Prover 1: Found proof (size 4694)
% 47.31/7.04 Prover 1: proved (6412ms)
% 47.31/7.05 Prover 7: stopped
% 47.31/7.05 Prover 11: stopped
% 47.31/7.05 Prover 13: stopped
% 47.31/7.05 Prover 8: stopped
% 47.31/7.05 Prover 10: stopped
% 47.69/7.11 Prover 4: Found proof (size 4501)
% 47.69/7.11 Prover 4: proved (6471ms)
% 47.69/7.11
% 47.69/7.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.69/7.11
% 51.81/8.11 % SZS output start Proof for theBenchmark
% 51.81/8.13 Assumptions after simplification:
% 51.81/8.13 ---------------------------------
% 51.81/8.13
% 51.81/8.13 (ax1)
% 51.81/8.18 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 51.81/8.18 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 51.81/8.18 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 51.81/8.18 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 51.81/8.18 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 51.81/8.18 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 51.81/8.18 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 51.81/8.18 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 51.81/8.18 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 51.81/8.18 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 51.81/8.18 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 51.81/8.18 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 51.81/8.18 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 51.81/8.18 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 51.81/8.18 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 51.81/8.18 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 51.81/8.18 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 51.81/8.18 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 51.81/8.18 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 51.81/8.18 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 51.81/8.18 | v0 = e11 | v0 = e10))
% 51.81/8.18
% 51.81/8.18 (ax10)
% 52.22/8.20 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.20 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.20 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.20 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 52.22/8.20 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 52.22/8.20 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 52.22/8.20 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v12) = v30
% 52.22/8.21 & op1(e13, v9) = v29 & op1(e13, v6) = v28 & op1(e13, v5) = v31 & op1(e13,
% 52.22/8.21 e13) = v5 & op1(e13, e12) = v12 & op1(e13, e11) = v9 & op1(e13, e10) = v6
% 52.22/8.21 & op1(e12, v15) = v27 & op1(e12, v8) = v25 & op1(e12, v4) = v24 & op1(e12,
% 52.22/8.21 v3) = v26 & op1(e12, e13) = v15 & op1(e12, e12) = v3 & op1(e12, e11) = v8
% 52.22/8.21 & op1(e12, e10) = v4 & op1(e11, v14) = v23 & op1(e11, v11) = v22 & op1(e11,
% 52.22/8.21 v2) = v20 & op1(e11, v1) = v21 & op1(e11, e13) = v14 & op1(e11, e12) = v11
% 52.22/8.21 & op1(e11, e11) = v1 & op1(e11, e10) = v2 & op1(e10, v13) = v19 & op1(e10,
% 52.22/8.21 v10) = v18 & op1(e10, v7) = v17 & op1(e10, v0) = v16 & op1(e10, e13) = v13
% 52.22/8.21 & op1(e10, e12) = v10 & op1(e10, e11) = v7 & op1(e10, e10) = v0 & $i(v31) &
% 52.22/8.21 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 52.22/8.21 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 52.22/8.21 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 52.22/8.21 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 52.22/8.21 $i(v0) & ((v31 = e13 & v30 = e12 & v29 = e11 & v28 = e10 & ( ~ (v3 = e13) |
% 52.22/8.21 v15 = e12) & ( ~ (v1 = e13) | v14 = e11) & ( ~ (v0 = e13) | v13 =
% 52.22/8.21 e10)) | (v27 = e13 & v26 = e12 & v25 = e11 & v24 = e10 & ( ~ (v5 =
% 52.22/8.21 e12) | v12 = e13) & ( ~ (v1 = e12) | v11 = e11) & ( ~ (v0 = e12) |
% 52.22/8.21 v10 = e10)) | (v23 = e13 & v22 = e12 & v21 = e11 & v20 = e10 & ( ~ (v5
% 52.22/8.21 = e11) | v9 = e13) & ( ~ (v3 = e11) | v8 = e12) & ( ~ (v0 = e11) |
% 52.22/8.21 v7 = e10)) | (v19 = e13 & v18 = e12 & v17 = e11 & v16 = e10 & ( ~ (v5
% 52.22/8.21 = e10) | v6 = e13) & ( ~ (v3 = e10) | v4 = e12) & ( ~ (v1 = e10) |
% 52.22/8.21 v2 = e11))) & ((v15 = e12 & v1 = e13 & ~ (v14 = e11) & ~ (v3 = e13))
% 52.22/8.21 | (v15 = e12 & v0 = e13 & ~ (v13 = e10) & ~ (v3 = e13)) | (v14 = e11 &
% 52.22/8.21 v3 = e13 & ~ (v15 = e12) & ~ (v1 = e13)) | (v14 = e11 & v0 = e13 & ~
% 52.22/8.21 (v13 = e10) & ~ (v1 = e13)) | (v13 = e10 & v3 = e13 & ~ (v15 = e12) &
% 52.22/8.21 ~ (v0 = e13)) | (v13 = e10 & v1 = e13 & ~ (v14 = e11) & ~ (v0 = e13))
% 52.22/8.21 | (v12 = e13 & v1 = e12 & ~ (v11 = e11) & ~ (v5 = e12)) | (v12 = e13 &
% 52.22/8.21 v0 = e12 & ~ (v10 = e10) & ~ (v5 = e12)) | (v11 = e11 & v5 = e12 & ~
% 52.22/8.21 (v12 = e13) & ~ (v1 = e12)) | (v11 = e11 & v0 = e12 & ~ (v10 = e10) &
% 52.22/8.21 ~ (v1 = e12)) | (v10 = e10 & v5 = e12 & ~ (v12 = e13) & ~ (v0 = e12))
% 52.22/8.21 | (v10 = e10 & v1 = e12 & ~ (v11 = e11) & ~ (v0 = e12)) | (v9 = e13 & v3
% 52.22/8.21 = e11 & ~ (v8 = e12) & ~ (v5 = e11)) | (v9 = e13 & v0 = e11 & ~ (v7 =
% 52.22/8.21 e10) & ~ (v5 = e11)) | (v8 = e12 & v5 = e11 & ~ (v9 = e13) & ~ (v3
% 52.22/8.21 = e11)) | (v8 = e12 & v0 = e11 & ~ (v7 = e10) & ~ (v3 = e11)) | (v7
% 52.22/8.21 = e10 & v5 = e11 & ~ (v9 = e13) & ~ (v0 = e11)) | (v7 = e10 & v3 = e11
% 52.22/8.21 & ~ (v8 = e12) & ~ (v0 = e11)) | (v6 = e13 & v3 = e10 & ~ (v5 = e10)
% 52.22/8.21 & ~ (v4 = e12)) | (v6 = e13 & v1 = e10 & ~ (v5 = e10) & ~ (v2 = e11))
% 52.22/8.21 | (v5 = e10 & v4 = e12 & ~ (v6 = e13) & ~ (v3 = e10)) | (v5 = e10 & v2 =
% 52.22/8.21 e11 & ~ (v6 = e13) & ~ (v1 = e10)) | (v4 = e12 & v1 = e10 & ~ (v3 =
% 52.22/8.21 e10) & ~ (v2 = e11)) | (v3 = e10 & v2 = e11 & ~ (v4 = e12) & ~ (v1
% 52.22/8.21 = e10))))
% 52.22/8.21
% 52.22/8.21 (ax11)
% 52.22/8.22 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.22 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.22 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.22 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 52.22/8.22 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 52.22/8.22 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 52.22/8.22 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v12) = v30
% 52.22/8.22 & op2(e23, v9) = v29 & op2(e23, v6) = v28 & op2(e23, v5) = v31 & op2(e23,
% 52.22/8.22 e23) = v5 & op2(e23, e22) = v12 & op2(e23, e21) = v9 & op2(e23, e20) = v6
% 52.22/8.22 & op2(e22, v15) = v27 & op2(e22, v8) = v25 & op2(e22, v4) = v24 & op2(e22,
% 52.22/8.22 v3) = v26 & op2(e22, e23) = v15 & op2(e22, e22) = v3 & op2(e22, e21) = v8
% 52.22/8.22 & op2(e22, e20) = v4 & op2(e21, v14) = v23 & op2(e21, v11) = v22 & op2(e21,
% 52.22/8.22 v2) = v20 & op2(e21, v1) = v21 & op2(e21, e23) = v14 & op2(e21, e22) = v11
% 52.22/8.22 & op2(e21, e21) = v1 & op2(e21, e20) = v2 & op2(e20, v13) = v19 & op2(e20,
% 52.22/8.22 v10) = v18 & op2(e20, v7) = v17 & op2(e20, v0) = v16 & op2(e20, e23) = v13
% 52.22/8.22 & op2(e20, e22) = v10 & op2(e20, e21) = v7 & op2(e20, e20) = v0 & $i(v31) &
% 52.22/8.22 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 52.22/8.22 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 52.22/8.22 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 52.22/8.22 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 52.22/8.22 $i(v0) & ((v31 = e23 & v30 = e22 & v29 = e21 & v28 = e20 & ( ~ (v3 = e23) |
% 52.22/8.22 v15 = e22) & ( ~ (v1 = e23) | v14 = e21) & ( ~ (v0 = e23) | v13 =
% 52.22/8.22 e20)) | (v27 = e23 & v26 = e22 & v25 = e21 & v24 = e20 & ( ~ (v5 =
% 52.22/8.22 e22) | v12 = e23) & ( ~ (v1 = e22) | v11 = e21) & ( ~ (v0 = e22) |
% 52.22/8.22 v10 = e20)) | (v23 = e23 & v22 = e22 & v21 = e21 & v20 = e20 & ( ~ (v5
% 52.22/8.22 = e21) | v9 = e23) & ( ~ (v3 = e21) | v8 = e22) & ( ~ (v0 = e21) |
% 52.22/8.22 v7 = e20)) | (v19 = e23 & v18 = e22 & v17 = e21 & v16 = e20 & ( ~ (v5
% 52.22/8.22 = e20) | v6 = e23) & ( ~ (v3 = e20) | v4 = e22) & ( ~ (v1 = e20) |
% 52.22/8.22 v2 = e21))) & ((v15 = e22 & v1 = e23 & ~ (v14 = e21) & ~ (v3 = e23))
% 52.22/8.22 | (v15 = e22 & v0 = e23 & ~ (v13 = e20) & ~ (v3 = e23)) | (v14 = e21 &
% 52.22/8.22 v3 = e23 & ~ (v15 = e22) & ~ (v1 = e23)) | (v14 = e21 & v0 = e23 & ~
% 52.22/8.22 (v13 = e20) & ~ (v1 = e23)) | (v13 = e20 & v3 = e23 & ~ (v15 = e22) &
% 52.22/8.22 ~ (v0 = e23)) | (v13 = e20 & v1 = e23 & ~ (v14 = e21) & ~ (v0 = e23))
% 52.22/8.22 | (v12 = e23 & v1 = e22 & ~ (v11 = e21) & ~ (v5 = e22)) | (v12 = e23 &
% 52.22/8.22 v0 = e22 & ~ (v10 = e20) & ~ (v5 = e22)) | (v11 = e21 & v5 = e22 & ~
% 52.22/8.22 (v12 = e23) & ~ (v1 = e22)) | (v11 = e21 & v0 = e22 & ~ (v10 = e20) &
% 52.22/8.22 ~ (v1 = e22)) | (v10 = e20 & v5 = e22 & ~ (v12 = e23) & ~ (v0 = e22))
% 52.22/8.22 | (v10 = e20 & v1 = e22 & ~ (v11 = e21) & ~ (v0 = e22)) | (v9 = e23 & v3
% 52.22/8.22 = e21 & ~ (v8 = e22) & ~ (v5 = e21)) | (v9 = e23 & v0 = e21 & ~ (v7 =
% 52.22/8.22 e20) & ~ (v5 = e21)) | (v8 = e22 & v5 = e21 & ~ (v9 = e23) & ~ (v3
% 52.22/8.22 = e21)) | (v8 = e22 & v0 = e21 & ~ (v7 = e20) & ~ (v3 = e21)) | (v7
% 52.22/8.23 = e20 & v5 = e21 & ~ (v9 = e23) & ~ (v0 = e21)) | (v7 = e20 & v3 = e21
% 52.22/8.23 & ~ (v8 = e22) & ~ (v0 = e21)) | (v6 = e23 & v3 = e20 & ~ (v5 = e20)
% 52.22/8.23 & ~ (v4 = e22)) | (v6 = e23 & v1 = e20 & ~ (v5 = e20) & ~ (v2 = e21))
% 52.22/8.23 | (v5 = e20 & v4 = e22 & ~ (v6 = e23) & ~ (v3 = e20)) | (v5 = e20 & v2 =
% 52.22/8.23 e21 & ~ (v6 = e23) & ~ (v1 = e20)) | (v4 = e22 & v1 = e20 & ~ (v3 =
% 52.22/8.23 e20) & ~ (v2 = e21)) | (v3 = e20 & v2 = e21 & ~ (v4 = e22) & ~ (v1
% 52.22/8.23 = e20))))
% 52.22/8.23
% 52.22/8.23 (ax12)
% 52.22/8.23 op1(e13, e13) = e11 & op1(e13, e10) = e12 & op1(e10, e10) = e13 & $i(e13) &
% 52.22/8.23 $i(e12) & $i(e11) & $i(e10)
% 52.22/8.23
% 52.22/8.23 (ax13)
% 52.22/8.23 op2(e23, e23) = e21 & op2(e23, e20) = e22 & op2(e20, e20) = e23 & $i(e23) &
% 52.22/8.23 $i(e22) & $i(e21) & $i(e20)
% 52.22/8.23
% 52.22/8.23 (ax14)
% 52.22/8.23 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 52.22/8.23 ? [v2: $i] : (h1(e13) = v1 & h1(e12) = v2 & h1(e11) = v0 & h1(e10) = e20 &
% 52.22/8.23 op2(v1, v1) = v0 & op2(v1, e20) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 52.22/8.23 & $i(v0))
% 52.22/8.23
% 52.22/8.23 (ax15)
% 52.22/8.23 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 52.22/8.23 ? [v2: $i] : (h2(e13) = v1 & h2(e12) = v2 & h2(e11) = v0 & h2(e10) = e21 &
% 52.22/8.23 op2(v1, v1) = v0 & op2(v1, e21) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 52.22/8.23 & $i(v0))
% 52.22/8.23
% 52.22/8.23 (ax16)
% 52.22/8.23 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 52.22/8.23 ? [v2: $i] : (h3(e13) = v1 & h3(e12) = v2 & h3(e11) = v0 & h3(e10) = e22 &
% 52.22/8.23 op2(v1, v1) = v0 & op2(v1, e22) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 52.22/8.23 & $i(v0))
% 52.22/8.23
% 52.22/8.23 (ax17)
% 52.22/8.23 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 52.22/8.23 ? [v2: $i] : (h4(e13) = v1 & h4(e12) = v2 & h4(e11) = v0 & h4(e10) = e23 &
% 52.22/8.23 op2(v1, v1) = v0 & op2(v1, e23) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 52.22/8.23 & $i(v0))
% 52.22/8.23
% 52.22/8.23 (ax2)
% 52.22/8.24 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.24 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.24 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.24 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 52.22/8.24 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 52.22/8.24 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 52.22/8.24 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 52.22/8.24 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 52.22/8.24 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 52.22/8.24 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 52.22/8.24 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 52.22/8.24 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 52.22/8.24 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 52.22/8.24 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 52.22/8.24 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 52.22/8.24 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 52.22/8.24 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 52.22/8.24 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 52.22/8.24 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 52.22/8.24 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 52.22/8.24 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 52.22/8.24 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 52.22/8.24 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 52.22/8.24 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 52.22/8.24 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 52.22/8.24 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 52.22/8.24 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 52.22/8.24 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 52.22/8.24 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 52.22/8.24 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 52.22/8.24 (v3 = e10 | v2 = e10 | v1 = e10))))
% 52.22/8.24
% 52.22/8.24 (ax3)
% 52.22/8.25 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.25 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.25 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.25 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 52.22/8.25 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 52.22/8.25 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 52.22/8.25 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 52.22/8.25 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 52.22/8.25 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 52.22/8.25 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 52.22/8.25 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 52.22/8.25 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 52.22/8.25 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 52.22/8.25 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 52.22/8.25 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 52.22/8.25 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 52.22/8.25 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 52.22/8.25 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 52.22/8.25 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 52.22/8.25 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 52.22/8.25 | v0 = e21 | v0 = e20))
% 52.22/8.25
% 52.22/8.25 (ax4)
% 52.22/8.26 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.26 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.26 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.26 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 52.22/8.26 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 52.22/8.26 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 52.22/8.26 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 52.22/8.26 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 52.22/8.26 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 52.22/8.26 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 52.22/8.26 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 52.22/8.26 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 52.22/8.26 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 52.22/8.26 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 52.22/8.26 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 52.22/8.26 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 52.22/8.26 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 52.22/8.26 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 52.22/8.26 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 52.22/8.26 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 52.22/8.26 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 52.22/8.26 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 52.22/8.26 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 52.22/8.26 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 52.22/8.26 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 52.22/8.26 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 52.22/8.26 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 52.22/8.26 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 52.22/8.26 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 52.22/8.26 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 52.22/8.26 (v3 = e20 | v2 = e20 | v1 = e20))))
% 52.22/8.26
% 52.22/8.26 (ax5)
% 52.22/8.27 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.27 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.27 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.27 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 52.22/8.27 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 52.22/8.27 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 52.22/8.27 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 52.22/8.27 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 52.22/8.27 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 52.22/8.27 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 52.22/8.27 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 52.22/8.27 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 52.22/8.27 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 52.22/8.27 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 52.22/8.27 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 52.22/8.27 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 52.22/8.27 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 52.22/8.27 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 52.22/8.27 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 52.22/8.27 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 52.22/8.27 $i(v1) & $i(v0))
% 52.22/8.27
% 52.22/8.27 (ax6)
% 52.22/8.27 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 52.22/8.27 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 52.22/8.27 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 52.22/8.27 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 52.22/8.27 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 52.22/8.27 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 52.22/8.27 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 52.22/8.27 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 52.22/8.27 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 52.22/8.27 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 52.22/8.27 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 52.22/8.27 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 52.22/8.27 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 52.22/8.27 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 52.22/8.27 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 52.22/8.27 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 52.22/8.27 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 52.22/8.27 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 52.22/8.27 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 52.22/8.27 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 52.22/8.27 $i(v1) & $i(v0))
% 52.22/8.27
% 52.22/8.27 (ax7)
% 52.22/8.27 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 =
% 52.22/8.27 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 52.22/8.27
% 52.22/8.27 (ax8)
% 52.22/8.27 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 52.22/8.27 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 52.22/8.27
% 52.22/8.27 (co1)
% 52.69/8.30 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 52.69/8.30 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 52.69/8.30 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 52.69/8.30 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 52.69/8.30 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 52.69/8.30 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 52.69/8.30 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 52.69/8.30 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 52.69/8.30 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 52.69/8.30 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 52.69/8.30 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 52.69/8.30 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 52.69/8.30 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 52.69/8.30 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 52.69/8.30 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 52.69/8.30 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 52.69/8.30 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 52.69/8.30 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 52.69/8.30 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 52.69/8.30 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 52.69/8.30 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 52.69/8.30 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 52.69/8.30 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 52.69/8.30 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 52.69/8.30 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 52.69/8.30 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 52.69/8.30 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 52.69/8.30 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 52.69/8.30 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 52.69/8.30 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 52.69/8.30 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 52.69/8.30 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 52.69/8.30 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 52.69/8.30 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 52.69/8.30 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 52.69/8.30 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 52.69/8.30 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 52.69/8.30 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 52.69/8.30 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 52.69/8.30 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 52.69/8.30 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 52.69/8.30 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 52.69/8.30 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 52.69/8.30 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 52.69/8.30 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 52.69/8.30 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 52.69/8.30 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 52.69/8.30 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 52.69/8.30 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 52.69/8.30 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 52.69/8.30 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 52.69/8.30 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 52.69/8.30 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 52.69/8.30 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 52.69/8.30 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 52.69/8.30 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 52.69/8.30 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 52.69/8.30 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 52.69/8.30 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 52.69/8.30 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 52.69/8.30 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 52.69/8.30 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 52.69/8.30 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 52.69/8.30 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 52.69/8.30 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 52.69/8.30 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 52.69/8.30 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 52.69/8.30 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 52.69/8.30 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 52.69/8.30 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 52.69/8.30 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 52.69/8.30 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 52.69/8.30 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 52.69/8.30 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 52.69/8.30 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 52.69/8.30 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 52.69/8.30 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 52.69/8.30 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 52.69/8.30 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 52.69/8.30 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 52.69/8.30 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 52.69/8.30 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 52.69/8.30 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 52.69/8.30 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 52.69/8.30 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 52.69/8.30 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 52.69/8.30 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 52.69/8.30 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 52.69/8.30 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 52.69/8.30 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 52.69/8.30 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 52.69/8.30 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 52.69/8.30 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 52.69/8.30 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 52.69/8.30 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 52.69/8.30 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 52.69/8.30 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 52.69/8.30 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 52.69/8.30 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 52.69/8.30 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 52.69/8.30 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 52.69/8.30 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 52.69/8.30 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 52.69/8.30 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 52.69/8.30 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 52.69/8.30 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 52.69/8.30 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 52.69/8.30 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 52.69/8.30 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 52.69/8.30 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 52.69/8.30 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 52.69/8.30 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 52.69/8.30 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 52.69/8.30 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 52.69/8.30 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 52.69/8.30 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 52.69/8.30 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 52.69/8.30 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 52.69/8.30 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 52.69/8.30 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 52.69/8.30 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 52.69/8.30 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 52.69/8.30 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 52.69/8.30 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 52.69/8.30 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 52.69/8.30 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 52.69/8.30 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 52.69/8.30 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 52.69/8.30 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 52.69/8.30 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 52.69/8.30
% 52.69/8.30 (function-axioms)
% 52.74/8.30 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 52.74/8.30 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 52.74/8.30 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 52.74/8.30 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 52.74/8.30 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 52.74/8.30 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 52.74/8.30 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 52.74/8.30 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 52.74/8.30
% 52.74/8.30 Further assumptions not needed in the proof:
% 52.74/8.30 --------------------------------------------
% 52.74/8.30 ax9
% 52.74/8.30
% 52.74/8.30 Those formulas are unsatisfiable:
% 52.74/8.30 ---------------------------------
% 52.74/8.30
% 52.74/8.30 Begin of proof
% 52.74/8.31 |
% 52.74/8.31 | ALPHA: (ax1) implies:
% 52.78/8.31 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.31 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 52.78/8.31 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 52.78/8.31 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 52.78/8.31 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 52.78/8.31 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 52.78/8.31 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 52.78/8.31 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 52.78/8.31 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 52.78/8.31 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 52.78/8.31 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 52.78/8.31 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 52.78/8.31 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 52.78/8.31 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 52.78/8.31 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 52.78/8.31 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 52.78/8.31 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 52.78/8.31 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 52.78/8.31 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 52.78/8.31 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 52.78/8.31 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 52.78/8.31 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 52.78/8.31 |
% 52.78/8.31 | ALPHA: (ax2) implies:
% 52.78/8.32 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.32 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 52.78/8.32 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 52.78/8.32 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 52.78/8.32 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 52.78/8.32 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 52.78/8.32 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 52.78/8.32 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 52.78/8.32 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 52.78/8.32 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 52.78/8.32 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 52.78/8.32 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 52.78/8.32 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 52.78/8.32 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 52.78/8.32 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 52.78/8.32 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 52.78/8.32 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 52.78/8.32 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 52.78/8.32 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 52.78/8.32 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 52.78/8.32 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 52.78/8.32 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 52.78/8.32 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 52.78/8.32 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 52.78/8.32 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 52.78/8.32 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 52.78/8.32 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 52.78/8.32 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 52.78/8.32 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 52.78/8.32 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 52.78/8.32 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 52.78/8.32 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 52.78/8.32 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 52.78/8.32 | = e10))))
% 52.78/8.32 |
% 52.78/8.32 | ALPHA: (ax3) implies:
% 52.78/8.32 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.32 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 52.78/8.32 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 52.78/8.32 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 52.78/8.32 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 52.78/8.32 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 52.78/8.32 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 52.78/8.32 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 52.78/8.32 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 52.78/8.32 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 52.78/8.32 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 52.78/8.32 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 52.78/8.32 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 52.78/8.32 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 52.78/8.32 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 52.78/8.32 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 52.78/8.32 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 52.78/8.32 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 52.78/8.32 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 52.78/8.32 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 52.78/8.32 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 52.78/8.32 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 52.78/8.32 |
% 52.78/8.32 | ALPHA: (ax4) implies:
% 52.78/8.33 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.33 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 52.78/8.33 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 52.78/8.33 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 52.78/8.33 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 52.78/8.33 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 52.78/8.33 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 52.78/8.33 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 52.78/8.33 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 52.78/8.33 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 52.78/8.33 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 52.78/8.33 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 52.78/8.33 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 52.78/8.33 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 52.78/8.33 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 52.78/8.33 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 52.78/8.33 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 52.78/8.33 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 52.78/8.33 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 52.78/8.33 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 52.78/8.33 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 52.78/8.33 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 52.78/8.33 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 52.78/8.33 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 52.78/8.33 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 52.78/8.33 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 52.78/8.33 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 52.78/8.33 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 52.78/8.33 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 52.78/8.33 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 52.78/8.33 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 52.78/8.33 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 52.78/8.33 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 52.78/8.33 | = e20))))
% 52.78/8.33 |
% 52.78/8.33 | ALPHA: (ax5) implies:
% 52.78/8.33 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.33 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 52.78/8.33 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 52.78/8.33 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 52.78/8.33 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 52.78/8.33 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 52.78/8.33 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 52.78/8.33 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 52.78/8.33 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 52.78/8.33 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 52.78/8.33 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 52.78/8.33 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 52.78/8.33 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 52.78/8.33 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 52.78/8.33 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 52.78/8.33 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 52.78/8.33 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 52.78/8.33 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 52.78/8.33 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 52.78/8.33 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 52.78/8.33 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 52.78/8.33 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 52.78/8.33 |
% 52.78/8.33 | ALPHA: (ax6) implies:
% 52.78/8.34 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.34 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 52.78/8.34 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 52.78/8.34 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 52.78/8.34 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 52.78/8.34 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 52.78/8.34 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 52.78/8.34 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 52.78/8.34 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 52.78/8.34 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 52.78/8.34 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 52.78/8.34 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 52.78/8.34 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 52.78/8.34 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 52.78/8.34 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 52.78/8.34 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 52.78/8.34 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 52.78/8.34 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 52.78/8.34 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 52.78/8.34 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 52.78/8.34 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 52.78/8.34 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 52.78/8.34 |
% 52.78/8.34 | ALPHA: (ax7) implies:
% 52.78/8.34 | (7) ~ (e11 = e10)
% 52.78/8.34 | (8) ~ (e12 = e10)
% 52.78/8.34 | (9) ~ (e13 = e10)
% 52.78/8.34 | (10) ~ (e13 = e11)
% 52.78/8.34 |
% 52.78/8.34 | ALPHA: (ax8) implies:
% 52.78/8.34 | (11) ~ (e23 = e21)
% 52.78/8.34 |
% 52.78/8.34 | ALPHA: (ax10) implies:
% 52.78/8.35 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.35 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 52.78/8.35 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 52.78/8.35 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 52.78/8.35 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 52.78/8.35 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 52.78/8.35 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v12) =
% 52.78/8.35 | v30 & op1(e13, v9) = v29 & op1(e13, v6) = v28 & op1(e13, v5) = v31 &
% 52.78/8.35 | op1(e13, e13) = v5 & op1(e13, e12) = v12 & op1(e13, e11) = v9 &
% 52.78/8.35 | op1(e13, e10) = v6 & op1(e12, v15) = v27 & op1(e12, v8) = v25 &
% 52.78/8.35 | op1(e12, v4) = v24 & op1(e12, v3) = v26 & op1(e12, e13) = v15 &
% 52.78/8.35 | op1(e12, e12) = v3 & op1(e12, e11) = v8 & op1(e12, e10) = v4 &
% 52.78/8.35 | op1(e11, v14) = v23 & op1(e11, v11) = v22 & op1(e11, v2) = v20 &
% 52.78/8.35 | op1(e11, v1) = v21 & op1(e11, e13) = v14 & op1(e11, e12) = v11 &
% 52.78/8.35 | op1(e11, e11) = v1 & op1(e11, e10) = v2 & op1(e10, v13) = v19 &
% 52.78/8.35 | op1(e10, v10) = v18 & op1(e10, v7) = v17 & op1(e10, v0) = v16 &
% 52.78/8.35 | op1(e10, e13) = v13 & op1(e10, e12) = v10 & op1(e10, e11) = v7 &
% 52.78/8.35 | op1(e10, e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 52.78/8.35 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 52.78/8.35 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 52.78/8.35 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 52.78/8.35 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31
% 52.78/8.35 | = e13 & v30 = e12 & v29 = e11 & v28 = e10 & ( ~ (v3 = e13) | v15
% 52.78/8.35 | = e12) & ( ~ (v1 = e13) | v14 = e11) & ( ~ (v0 = e13) | v13 =
% 52.78/8.35 | e10)) | (v27 = e13 & v26 = e12 & v25 = e11 & v24 = e10 & ( ~
% 52.78/8.35 | (v5 = e12) | v12 = e13) & ( ~ (v1 = e12) | v11 = e11) & ( ~
% 52.78/8.35 | (v0 = e12) | v10 = e10)) | (v23 = e13 & v22 = e12 & v21 = e11
% 52.78/8.35 | & v20 = e10 & ( ~ (v5 = e11) | v9 = e13) & ( ~ (v3 = e11) | v8 =
% 52.78/8.35 | e12) & ( ~ (v0 = e11) | v7 = e10)) | (v19 = e13 & v18 = e12 &
% 52.78/8.35 | v17 = e11 & v16 = e10 & ( ~ (v5 = e10) | v6 = e13) & ( ~ (v3 =
% 52.78/8.35 | e10) | v4 = e12) & ( ~ (v1 = e10) | v2 = e11))) & ((v15 =
% 52.78/8.35 | e12 & v1 = e13 & ~ (v14 = e11) & ~ (v3 = e13)) | (v15 = e12 &
% 52.78/8.35 | v0 = e13 & ~ (v13 = e10) & ~ (v3 = e13)) | (v14 = e11 & v3 =
% 52.78/8.35 | e13 & ~ (v15 = e12) & ~ (v1 = e13)) | (v14 = e11 & v0 = e13 &
% 52.78/8.35 | ~ (v13 = e10) & ~ (v1 = e13)) | (v13 = e10 & v3 = e13 & ~ (v15
% 52.78/8.35 | = e12) & ~ (v0 = e13)) | (v13 = e10 & v1 = e13 & ~ (v14 =
% 52.78/8.35 | e11) & ~ (v0 = e13)) | (v12 = e13 & v1 = e12 & ~ (v11 = e11)
% 52.78/8.35 | & ~ (v5 = e12)) | (v12 = e13 & v0 = e12 & ~ (v10 = e10) & ~
% 52.78/8.35 | (v5 = e12)) | (v11 = e11 & v5 = e12 & ~ (v12 = e13) & ~ (v1 =
% 52.78/8.35 | e12)) | (v11 = e11 & v0 = e12 & ~ (v10 = e10) & ~ (v1 =
% 52.78/8.35 | e12)) | (v10 = e10 & v5 = e12 & ~ (v12 = e13) & ~ (v0 =
% 52.78/8.35 | e12)) | (v10 = e10 & v1 = e12 & ~ (v11 = e11) & ~ (v0 =
% 52.78/8.35 | e12)) | (v9 = e13 & v3 = e11 & ~ (v8 = e12) & ~ (v5 = e11))
% 52.78/8.35 | | (v9 = e13 & v0 = e11 & ~ (v7 = e10) & ~ (v5 = e11)) | (v8 =
% 52.78/8.35 | e12 & v5 = e11 & ~ (v9 = e13) & ~ (v3 = e11)) | (v8 = e12 & v0
% 52.78/8.35 | = e11 & ~ (v7 = e10) & ~ (v3 = e11)) | (v7 = e10 & v5 = e11 &
% 52.78/8.35 | ~ (v9 = e13) & ~ (v0 = e11)) | (v7 = e10 & v3 = e11 & ~ (v8 =
% 52.78/8.35 | e12) & ~ (v0 = e11)) | (v6 = e13 & v3 = e10 & ~ (v5 = e10) &
% 52.78/8.35 | ~ (v4 = e12)) | (v6 = e13 & v1 = e10 & ~ (v5 = e10) & ~ (v2 =
% 52.78/8.35 | e11)) | (v5 = e10 & v4 = e12 & ~ (v6 = e13) & ~ (v3 = e10))
% 52.78/8.35 | | (v5 = e10 & v2 = e11 & ~ (v6 = e13) & ~ (v1 = e10)) | (v4 =
% 52.78/8.35 | e12 & v1 = e10 & ~ (v3 = e10) & ~ (v2 = e11)) | (v3 = e10 & v2
% 52.78/8.35 | = e11 & ~ (v4 = e12) & ~ (v1 = e10))))
% 52.78/8.35 |
% 52.78/8.35 | ALPHA: (ax11) implies:
% 52.78/8.36 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.36 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 52.78/8.36 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 52.78/8.36 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 52.78/8.36 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 52.78/8.36 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 52.78/8.36 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v12) =
% 52.78/8.36 | v30 & op2(e23, v9) = v29 & op2(e23, v6) = v28 & op2(e23, v5) = v31 &
% 52.78/8.36 | op2(e23, e23) = v5 & op2(e23, e22) = v12 & op2(e23, e21) = v9 &
% 52.78/8.36 | op2(e23, e20) = v6 & op2(e22, v15) = v27 & op2(e22, v8) = v25 &
% 52.78/8.36 | op2(e22, v4) = v24 & op2(e22, v3) = v26 & op2(e22, e23) = v15 &
% 52.78/8.36 | op2(e22, e22) = v3 & op2(e22, e21) = v8 & op2(e22, e20) = v4 &
% 52.78/8.36 | op2(e21, v14) = v23 & op2(e21, v11) = v22 & op2(e21, v2) = v20 &
% 52.78/8.36 | op2(e21, v1) = v21 & op2(e21, e23) = v14 & op2(e21, e22) = v11 &
% 52.78/8.36 | op2(e21, e21) = v1 & op2(e21, e20) = v2 & op2(e20, v13) = v19 &
% 52.78/8.36 | op2(e20, v10) = v18 & op2(e20, v7) = v17 & op2(e20, v0) = v16 &
% 52.78/8.36 | op2(e20, e23) = v13 & op2(e20, e22) = v10 & op2(e20, e21) = v7 &
% 52.78/8.36 | op2(e20, e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 52.78/8.36 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 52.78/8.36 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 52.78/8.36 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 52.78/8.36 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31
% 52.78/8.36 | = e23 & v30 = e22 & v29 = e21 & v28 = e20 & ( ~ (v3 = e23) | v15
% 52.78/8.36 | = e22) & ( ~ (v1 = e23) | v14 = e21) & ( ~ (v0 = e23) | v13 =
% 52.78/8.36 | e20)) | (v27 = e23 & v26 = e22 & v25 = e21 & v24 = e20 & ( ~
% 52.78/8.36 | (v5 = e22) | v12 = e23) & ( ~ (v1 = e22) | v11 = e21) & ( ~
% 52.78/8.36 | (v0 = e22) | v10 = e20)) | (v23 = e23 & v22 = e22 & v21 = e21
% 52.78/8.36 | & v20 = e20 & ( ~ (v5 = e21) | v9 = e23) & ( ~ (v3 = e21) | v8 =
% 52.78/8.36 | e22) & ( ~ (v0 = e21) | v7 = e20)) | (v19 = e23 & v18 = e22 &
% 52.78/8.36 | v17 = e21 & v16 = e20 & ( ~ (v5 = e20) | v6 = e23) & ( ~ (v3 =
% 52.78/8.36 | e20) | v4 = e22) & ( ~ (v1 = e20) | v2 = e21))) & ((v15 =
% 52.78/8.36 | e22 & v1 = e23 & ~ (v14 = e21) & ~ (v3 = e23)) | (v15 = e22 &
% 52.78/8.36 | v0 = e23 & ~ (v13 = e20) & ~ (v3 = e23)) | (v14 = e21 & v3 =
% 52.78/8.36 | e23 & ~ (v15 = e22) & ~ (v1 = e23)) | (v14 = e21 & v0 = e23 &
% 52.78/8.36 | ~ (v13 = e20) & ~ (v1 = e23)) | (v13 = e20 & v3 = e23 & ~ (v15
% 52.78/8.36 | = e22) & ~ (v0 = e23)) | (v13 = e20 & v1 = e23 & ~ (v14 =
% 52.78/8.36 | e21) & ~ (v0 = e23)) | (v12 = e23 & v1 = e22 & ~ (v11 = e21)
% 52.78/8.36 | & ~ (v5 = e22)) | (v12 = e23 & v0 = e22 & ~ (v10 = e20) & ~
% 52.78/8.36 | (v5 = e22)) | (v11 = e21 & v5 = e22 & ~ (v12 = e23) & ~ (v1 =
% 52.78/8.36 | e22)) | (v11 = e21 & v0 = e22 & ~ (v10 = e20) & ~ (v1 =
% 52.78/8.36 | e22)) | (v10 = e20 & v5 = e22 & ~ (v12 = e23) & ~ (v0 =
% 52.78/8.36 | e22)) | (v10 = e20 & v1 = e22 & ~ (v11 = e21) & ~ (v0 =
% 52.78/8.36 | e22)) | (v9 = e23 & v3 = e21 & ~ (v8 = e22) & ~ (v5 = e21))
% 52.78/8.36 | | (v9 = e23 & v0 = e21 & ~ (v7 = e20) & ~ (v5 = e21)) | (v8 =
% 52.78/8.36 | e22 & v5 = e21 & ~ (v9 = e23) & ~ (v3 = e21)) | (v8 = e22 & v0
% 52.78/8.36 | = e21 & ~ (v7 = e20) & ~ (v3 = e21)) | (v7 = e20 & v5 = e21 &
% 52.78/8.36 | ~ (v9 = e23) & ~ (v0 = e21)) | (v7 = e20 & v3 = e21 & ~ (v8 =
% 52.78/8.36 | e22) & ~ (v0 = e21)) | (v6 = e23 & v3 = e20 & ~ (v5 = e20) &
% 52.78/8.36 | ~ (v4 = e22)) | (v6 = e23 & v1 = e20 & ~ (v5 = e20) & ~ (v2 =
% 52.78/8.36 | e21)) | (v5 = e20 & v4 = e22 & ~ (v6 = e23) & ~ (v3 = e20))
% 52.78/8.36 | | (v5 = e20 & v2 = e21 & ~ (v6 = e23) & ~ (v1 = e20)) | (v4 =
% 52.78/8.36 | e22 & v1 = e20 & ~ (v3 = e20) & ~ (v2 = e21)) | (v3 = e20 & v2
% 52.78/8.36 | = e21 & ~ (v4 = e22) & ~ (v1 = e20))))
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (ax12) implies:
% 52.78/8.36 | (14) op1(e10, e10) = e13
% 52.78/8.36 | (15) op1(e13, e10) = e12
% 52.78/8.36 | (16) op1(e13, e13) = e11
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (ax13) implies:
% 52.78/8.36 | (17) op2(e20, e20) = e23
% 52.78/8.36 | (18) op2(e23, e20) = e22
% 52.78/8.36 | (19) op2(e23, e23) = e21
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (ax14) implies:
% 52.78/8.36 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v1 & h1(e12) = v2
% 52.78/8.36 | & h1(e11) = v0 & h1(e10) = e20 & op2(v1, v1) = v0 & op2(v1, e20) =
% 52.78/8.36 | v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (ax15) implies:
% 52.78/8.36 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v1 & h2(e12) = v2
% 52.78/8.36 | & h2(e11) = v0 & h2(e10) = e21 & op2(v1, v1) = v0 & op2(v1, e21) =
% 52.78/8.36 | v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (ax16) implies:
% 52.78/8.36 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v1 & h3(e12) = v2
% 52.78/8.36 | & h3(e11) = v0 & h3(e10) = e22 & op2(v1, v1) = v0 & op2(v1, e22) =
% 52.78/8.36 | v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (ax17) implies:
% 52.78/8.36 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v1 & h4(e12) = v2
% 52.78/8.36 | & h4(e11) = v0 & h4(e10) = e23 & op2(v1, v1) = v0 & op2(v1, e23) =
% 52.78/8.36 | v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 52.78/8.36 |
% 52.78/8.36 | ALPHA: (co1) implies:
% 52.78/8.38 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 52.78/8.38 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 52.78/8.38 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 52.78/8.38 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 52.78/8.38 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 52.78/8.38 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 52.78/8.38 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 52.78/8.38 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 52.78/8.38 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 52.78/8.38 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 52.78/8.38 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 52.78/8.38 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 52.78/8.38 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 52.78/8.38 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 52.78/8.38 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 52.78/8.38 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 52.78/8.38 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 52.78/8.38 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 52.78/8.38 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 52.78/8.38 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 52.78/8.38 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 52.78/8.38 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 52.78/8.38 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 52.78/8.38 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 52.78/8.38 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 52.78/8.38 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 52.78/8.38 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 52.78/8.38 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 52.78/8.38 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 52.78/8.38 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 52.78/8.38 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 52.78/8.38 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 52.78/8.38 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 52.78/8.38 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 52.78/8.38 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 52.78/8.38 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 52.78/8.38 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 52.78/8.38 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 52.78/8.38 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 52.78/8.38 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 52.78/8.38 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 52.78/8.38 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 52.78/8.38 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 52.78/8.38 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 52.78/8.38 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 52.78/8.38 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 52.78/8.38 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 52.78/8.38 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 52.78/8.38 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 52.78/8.38 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 52.78/8.38 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 52.78/8.38 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 52.78/8.38 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 52.78/8.38 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 52.78/8.38 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 52.78/8.38 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 52.78/8.38 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 52.78/8.38 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 52.78/8.38 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 52.78/8.38 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 52.78/8.38 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 52.78/8.38 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 52.78/8.38 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 52.78/8.38 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 52.78/8.38 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 52.78/8.38 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 52.78/8.38 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 52.78/8.38 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 52.78/8.38 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 52.78/8.38 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 52.78/8.38 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 52.78/8.38 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 52.78/8.38 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 52.78/8.38 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 52.78/8.38 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 52.78/8.38 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 52.78/8.38 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 52.78/8.38 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 52.78/8.38 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 52.78/8.38 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 52.78/8.38 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 52.78/8.38 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 52.78/8.38 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 52.78/8.38 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 52.78/8.38 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 52.78/8.38 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 52.78/8.38 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 52.78/8.38 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 52.78/8.38 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 52.78/8.38 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 52.78/8.38 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 52.78/8.38 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 52.78/8.38 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 52.78/8.38 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 52.78/8.38 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 52.78/8.38 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 52.78/8.38 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 52.78/8.38 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 52.78/8.38 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 52.78/8.38 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 52.78/8.38 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 52.78/8.38 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 52.78/8.38 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 52.78/8.38 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 52.78/8.38 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 52.78/8.38 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 52.78/8.38 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 52.78/8.38 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 52.78/8.38 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 52.78/8.38 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 52.78/8.38 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 52.78/8.38 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 52.78/8.38 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 52.78/8.38 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 52.78/8.38 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 52.78/8.38 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 52.78/8.38 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 52.78/8.38 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 52.78/8.38 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 52.78/8.38 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 52.78/8.38 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 52.78/8.38 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 52.78/8.38 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 52.78/8.38 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 52.78/8.38 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 52.78/8.38 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 52.78/8.38 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 52.78/8.38 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 52.78/8.38 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 52.78/8.38 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 52.78/8.38 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 52.78/8.38 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 52.78/8.38 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 52.78/8.38 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 52.78/8.38 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 52.78/8.38 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 52.78/8.38 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 52.78/8.38 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 52.78/8.38 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 52.78/8.38 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 52.78/8.38 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 52.78/8.38 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 52.78/8.38 | (v2 = e20))))
% 52.78/8.39 |
% 52.78/8.39 | ALPHA: (function-axioms) implies:
% 52.78/8.39 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 52.78/8.39 | | ~ (h1(v2) = v0))
% 52.78/8.39 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 52.78/8.39 | | ~ (h2(v2) = v0))
% 52.78/8.39 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 52.78/8.39 | | ~ (h3(v2) = v0))
% 52.78/8.39 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 52.78/8.39 | | ~ (h4(v2) = v0))
% 52.78/8.39 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.78/8.39 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.78/8.39 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.78/8.39 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.78/8.39 |
% 52.78/8.39 | DELTA: instantiating (21) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 52.78/8.39 | (31) h2(e13) = all_4_1 & h2(e12) = all_4_0 & h2(e11) = all_4_2 & h2(e10) =
% 52.78/8.39 | e21 & op2(all_4_1, all_4_1) = all_4_2 & op2(all_4_1, e21) = all_4_0 &
% 52.78/8.39 | op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 52.78/8.39 |
% 52.78/8.39 | ALPHA: (31) implies:
% 52.78/8.39 | (32) op2(e21, e21) = all_4_1
% 52.78/8.39 | (33) h2(e10) = e21
% 52.78/8.39 | (34) h2(e13) = all_4_1
% 52.78/8.39 |
% 52.78/8.39 | DELTA: instantiating (22) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 52.78/8.39 | (35) h3(e13) = all_6_1 & h3(e12) = all_6_0 & h3(e11) = all_6_2 & h3(e10) =
% 52.78/8.39 | e22 & op2(all_6_1, all_6_1) = all_6_2 & op2(all_6_1, e22) = all_6_0 &
% 52.78/8.39 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 52.78/8.39 |
% 52.78/8.39 | ALPHA: (35) implies:
% 52.78/8.39 | (36) op2(e22, e22) = all_6_1
% 52.78/8.39 | (37) h3(e10) = e22
% 52.78/8.39 | (38) h3(e13) = all_6_1
% 52.78/8.39 |
% 52.78/8.39 | DELTA: instantiating (23) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 52.78/8.39 | (39) h4(e13) = all_8_1 & h4(e12) = all_8_0 & h4(e11) = all_8_2 & h4(e10) =
% 52.78/8.39 | e23 & op2(all_8_1, all_8_1) = all_8_2 & op2(all_8_1, e23) = all_8_0 &
% 52.78/8.39 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 52.78/8.39 |
% 52.78/8.39 | ALPHA: (39) implies:
% 52.78/8.39 | (40) op2(e23, e23) = all_8_1
% 52.78/8.39 | (41) op2(all_8_1, e23) = all_8_0
% 52.78/8.39 | (42) op2(all_8_1, all_8_1) = all_8_2
% 52.78/8.39 | (43) h4(e10) = e23
% 52.78/8.39 | (44) h4(e11) = all_8_2
% 52.78/8.39 | (45) h4(e13) = all_8_1
% 52.78/8.39 |
% 52.78/8.39 | DELTA: instantiating (20) with fresh symbols all_10_0, all_10_1, all_10_2
% 52.78/8.39 | gives:
% 52.78/8.39 | (46) h1(e13) = all_10_1 & h1(e12) = all_10_0 & h1(e11) = all_10_2 & h1(e10)
% 52.78/8.39 | = e20 & op2(all_10_1, all_10_1) = all_10_2 & op2(all_10_1, e20) =
% 52.78/8.39 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 52.78/8.39 | $i(all_10_2)
% 52.78/8.39 |
% 52.78/8.39 | ALPHA: (46) implies:
% 52.78/8.39 | (47) op2(e20, e20) = all_10_1
% 52.78/8.39 | (48) op2(all_10_1, e20) = all_10_0
% 52.78/8.39 | (49) op2(all_10_1, all_10_1) = all_10_2
% 52.78/8.39 | (50) h1(e10) = e20
% 52.78/8.39 | (51) h1(e11) = all_10_2
% 52.78/8.39 | (52) h1(e12) = all_10_0
% 52.78/8.39 | (53) h1(e13) = all_10_1
% 52.78/8.39 |
% 52.78/8.39 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 52.78/8.39 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 52.78/8.39 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 52.78/8.40 | (54) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 52.78/8.40 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 52.78/8.40 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 52.78/8.40 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 52.78/8.40 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 52.78/8.40 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 52.78/8.40 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 52.78/8.40 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 52.78/8.40 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 52.78/8.40 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 52.78/8.40 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 52.78/8.40 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 52.78/8.40 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 52.78/8.40 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 52.78/8.40 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 52.78/8.40 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 52.78/8.40 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 52.78/8.40 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 52.78/8.40 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 52.78/8.40 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 52.78/8.40 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 52.78/8.40 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 52.78/8.40 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 52.78/8.40 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 52.78/8.40 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 52.78/8.40 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 52.78/8.40 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 52.78/8.40 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 52.78/8.40 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 52.78/8.40 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 52.78/8.40 |
% 52.78/8.40 | ALPHA: (54) implies:
% 52.78/8.40 | (55) ~ (all_12_14 = all_12_15)
% 52.78/8.40 | (56) ~ (all_12_13 = all_12_15)
% 52.78/8.40 | (57) ~ (all_12_13 = all_12_14)
% 52.78/8.40 | (58) ~ (all_12_12 = all_12_15)
% 52.78/8.40 | (59) ~ (all_12_12 = all_12_14)
% 52.78/8.40 | (60) ~ (all_12_12 = all_12_13)
% 52.78/8.40 | (61) ~ (all_12_11 = all_12_15)
% 52.78/8.40 | (62) ~ (all_12_10 = all_12_14)
% 52.78/8.40 | (63) ~ (all_12_10 = all_12_11)
% 52.78/8.40 | (64) ~ (all_12_9 = all_12_11)
% 52.78/8.40 | (65) ~ (all_12_8 = all_12_12)
% 52.78/8.40 | (66) ~ (all_12_8 = all_12_11)
% 52.78/8.40 | (67) ~ (all_12_8 = all_12_10)
% 52.78/8.40 | (68) ~ (all_12_8 = all_12_9)
% 52.78/8.40 | (69) ~ (all_12_7 = all_12_15)
% 52.78/8.40 | (70) ~ (all_12_7 = all_12_11)
% 52.78/8.40 | (71) ~ (all_12_6 = all_12_14)
% 52.78/8.40 | (72) ~ (all_12_6 = all_12_10)
% 52.78/8.40 | (73) ~ (all_12_6 = all_12_7)
% 52.78/8.40 | (74) ~ (all_12_5 = all_12_13)
% 52.78/8.40 | (75) ~ (all_12_5 = all_12_9)
% 52.78/8.40 | (76) ~ (all_12_5 = all_12_7)
% 52.78/8.40 | (77) ~ (all_12_5 = all_12_6)
% 52.78/8.40 | (78) ~ (all_12_4 = all_12_12)
% 52.78/8.40 | (79) ~ (all_12_4 = all_12_8)
% 52.78/8.40 | (80) ~ (all_12_4 = all_12_7)
% 52.78/8.40 | (81) ~ (all_12_4 = all_12_6)
% 52.78/8.40 | (82) ~ (all_12_4 = all_12_5)
% 52.78/8.40 | (83) ~ (all_12_3 = all_12_15)
% 52.78/8.40 | (84) ~ (all_12_3 = all_12_11)
% 52.78/8.40 | (85) ~ (all_12_3 = all_12_7)
% 52.78/8.40 | (86) ~ (all_12_2 = all_12_14)
% 52.78/8.40 | (87) ~ (all_12_2 = all_12_10)
% 52.78/8.40 | (88) ~ (all_12_2 = all_12_6)
% 52.78/8.40 | (89) ~ (all_12_2 = all_12_3)
% 52.78/8.40 | (90) ~ (all_12_1 = all_12_13)
% 52.78/8.40 | (91) ~ (all_12_1 = all_12_5)
% 52.78/8.40 | (92) ~ (all_12_1 = all_12_3)
% 52.78/8.40 | (93) ~ (all_12_1 = all_12_2)
% 52.78/8.40 | (94) ~ (all_12_0 = all_12_12)
% 52.78/8.40 | (95) ~ (all_12_0 = all_12_8)
% 52.78/8.40 | (96) ~ (all_12_0 = all_12_4)
% 52.78/8.40 | (97) ~ (all_12_0 = all_12_3)
% 52.78/8.40 | (98) ~ (all_12_0 = all_12_2)
% 52.78/8.40 | (99) ~ (all_12_0 = all_12_1)
% 52.78/8.40 | (100) op1(e10, e10) = all_12_15
% 52.78/8.40 | (101) op1(e10, e11) = all_12_11
% 52.78/8.40 | (102) op1(e10, e12) = all_12_7
% 52.78/8.40 | (103) op1(e10, e13) = all_12_3
% 52.78/8.40 | (104) op1(e11, e10) = all_12_14
% 52.78/8.40 | (105) op1(e11, e11) = all_12_10
% 52.78/8.40 | (106) op1(e11, e12) = all_12_6
% 52.78/8.40 | (107) op1(e11, e13) = all_12_2
% 52.78/8.40 | (108) op1(e12, e10) = all_12_13
% 52.78/8.40 | (109) op1(e12, e11) = all_12_9
% 52.78/8.40 | (110) op1(e12, e12) = all_12_5
% 52.78/8.40 | (111) op1(e12, e13) = all_12_1
% 52.78/8.40 | (112) op1(e13, e10) = all_12_12
% 52.78/8.40 | (113) op1(e13, e11) = all_12_8
% 52.78/8.40 | (114) op1(e13, e12) = all_12_4
% 52.78/8.40 | (115) op1(e13, e13) = all_12_0
% 52.78/8.40 |
% 52.78/8.40 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 52.78/8.40 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 52.78/8.40 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 53.19/8.41 | (116) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 53.19/8.41 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 53.19/8.41 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 53.19/8.41 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 53.19/8.41 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 53.19/8.41 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 53.19/8.41 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 53.19/8.41 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 53.19/8.41 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 53.19/8.41 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 53.19/8.41 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 53.19/8.41 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 53.19/8.41 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 53.19/8.41 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 53.19/8.41 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 53.19/8.41 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 53.19/8.41 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 53.19/8.41 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 53.19/8.41 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 53.19/8.41 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 53.19/8.41 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 53.19/8.41 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 53.19/8.41 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 53.19/8.41 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 53.19/8.41 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 53.19/8.41 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 53.19/8.41 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 53.19/8.41 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 53.19/8.41 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 53.19/8.41 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 53.19/8.41 | $i(all_14_14) & $i(all_14_15)
% 53.19/8.41 |
% 53.19/8.41 | ALPHA: (116) implies:
% 53.19/8.41 | (117) ~ (all_14_14 = all_14_15)
% 53.19/8.41 | (118) ~ (all_14_13 = all_14_15)
% 53.19/8.41 | (119) ~ (all_14_13 = all_14_14)
% 53.19/8.41 | (120) ~ (all_14_12 = all_14_15)
% 53.19/8.41 | (121) ~ (all_14_12 = all_14_14)
% 53.19/8.41 | (122) ~ (all_14_12 = all_14_13)
% 53.19/8.41 | (123) ~ (all_14_10 = all_14_14)
% 53.19/8.41 | (124) ~ (all_14_10 = all_14_11)
% 53.19/8.41 | (125) ~ (all_14_9 = all_14_13)
% 53.19/8.41 | (126) ~ (all_14_9 = all_14_10)
% 53.19/8.41 | (127) ~ (all_14_8 = all_14_12)
% 53.19/8.41 | (128) ~ (all_14_8 = all_14_11)
% 53.19/8.41 | (129) ~ (all_14_8 = all_14_10)
% 53.19/8.41 | (130) ~ (all_14_8 = all_14_9)
% 53.19/8.41 | (131) ~ (all_14_7 = all_14_11)
% 53.19/8.41 | (132) ~ (all_14_6 = all_14_10)
% 53.19/8.41 | (133) ~ (all_14_6 = all_14_7)
% 53.19/8.41 | (134) ~ (all_14_5 = all_14_13)
% 53.19/8.41 | (135) ~ (all_14_5 = all_14_9)
% 53.19/8.41 | (136) ~ (all_14_5 = all_14_7)
% 53.19/8.41 | (137) ~ (all_14_4 = all_14_12)
% 53.19/8.41 | (138) ~ (all_14_4 = all_14_8)
% 53.19/8.41 | (139) ~ (all_14_4 = all_14_7)
% 53.19/8.41 | (140) ~ (all_14_4 = all_14_6)
% 53.19/8.41 | (141) ~ (all_14_4 = all_14_5)
% 53.19/8.41 | (142) ~ (all_14_3 = all_14_15)
% 53.19/8.41 | (143) ~ (all_14_3 = all_14_11)
% 53.19/8.41 | (144) ~ (all_14_3 = all_14_7)
% 53.19/8.41 | (145) ~ (all_14_2 = all_14_10)
% 53.19/8.41 | (146) ~ (all_14_2 = all_14_6)
% 53.19/8.41 | (147) ~ (all_14_2 = all_14_3)
% 53.19/8.41 | (148) ~ (all_14_1 = all_14_9)
% 53.19/8.41 | (149) ~ (all_14_1 = all_14_5)
% 53.19/8.41 | (150) ~ (all_14_1 = all_14_3)
% 53.19/8.41 | (151) ~ (all_14_1 = all_14_2)
% 53.19/8.41 | (152) ~ (all_14_0 = all_14_12)
% 53.19/8.41 | (153) ~ (all_14_0 = all_14_8)
% 53.19/8.41 | (154) ~ (all_14_0 = all_14_4)
% 53.19/8.41 | (155) ~ (all_14_0 = all_14_3)
% 53.19/8.41 | (156) ~ (all_14_0 = all_14_2)
% 53.19/8.41 | (157) ~ (all_14_0 = all_14_1)
% 53.19/8.41 | (158) op2(e20, e20) = all_14_15
% 53.19/8.41 | (159) op2(e20, e21) = all_14_11
% 53.19/8.41 | (160) op2(e20, e22) = all_14_7
% 53.19/8.41 | (161) op2(e20, e23) = all_14_3
% 53.19/8.41 | (162) op2(e21, e20) = all_14_14
% 53.19/8.41 | (163) op2(e21, e21) = all_14_10
% 53.19/8.41 | (164) op2(e21, e22) = all_14_6
% 53.19/8.41 | (165) op2(e21, e23) = all_14_2
% 53.19/8.41 | (166) op2(e22, e20) = all_14_13
% 53.19/8.41 | (167) op2(e22, e21) = all_14_9
% 53.19/8.41 | (168) op2(e22, e22) = all_14_5
% 53.19/8.41 | (169) op2(e22, e23) = all_14_1
% 53.19/8.41 | (170) op2(e23, e20) = all_14_12
% 53.19/8.41 | (171) op2(e23, e21) = all_14_8
% 53.19/8.41 | (172) op2(e23, e22) = all_14_4
% 53.19/8.41 | (173) op2(e23, e23) = all_14_0
% 53.19/8.41 |
% 53.19/8.41 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2,
% 53.19/8.41 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 53.19/8.41 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 53.19/8.41 | (174) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) =
% 53.19/8.41 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 &
% 53.19/8.41 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) =
% 53.19/8.41 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 &
% 53.19/8.41 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13)
% 53.19/8.41 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 &
% 53.19/8.41 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) &
% 53.19/8.41 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) &
% 53.19/8.41 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) &
% 53.19/8.41 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) &
% 53.19/8.41 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 |
% 53.19/8.41 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12
% 53.19/8.41 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 =
% 53.19/8.41 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3
% 53.19/8.41 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 |
% 53.19/8.41 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13
% 53.19/8.41 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 =
% 53.19/8.41 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7
% 53.19/8.41 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) &
% 53.19/8.41 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) &
% 53.19/8.41 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) &
% 53.19/8.41 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 53.19/8.41 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 |
% 53.19/8.41 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 =
% 53.19/8.41 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 |
% 53.19/8.41 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 =
% 53.19/8.41 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 |
% 53.19/8.41 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10)
% 53.19/8.41 |
% 53.19/8.42 | ALPHA: (174) implies:
% 53.19/8.42 | (175) op1(e10, e10) = all_16_15
% 53.19/8.42 | (176) op1(e10, e11) = all_16_14
% 53.19/8.42 | (177) op1(e10, e12) = all_16_13
% 53.19/8.42 | (178) op1(e10, e13) = all_16_12
% 53.19/8.42 | (179) op1(e11, e10) = all_16_11
% 53.19/8.42 | (180) op1(e11, e12) = all_16_9
% 53.19/8.42 | (181) op1(e11, e13) = all_16_8
% 53.19/8.42 | (182) op1(e12, e10) = all_16_7
% 53.19/8.42 | (183) op1(e12, e11) = all_16_6
% 53.19/8.42 | (184) op1(e12, e12) = all_16_5
% 53.19/8.42 | (185) op1(e12, e13) = all_16_4
% 53.19/8.42 | (186) op1(e13, e10) = all_16_3
% 53.19/8.42 | (187) op1(e13, e11) = all_16_2
% 53.19/8.42 | (188) op1(e13, e12) = all_16_1
% 53.19/8.42 | (189) op1(e13, e13) = all_16_0
% 53.19/8.42 | (190) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 53.19/8.42 | (191) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 53.19/8.42 | (192) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 53.19/8.42 | (193) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 53.19/8.42 | (194) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 53.19/8.42 | (195) all_16_7 = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 53.19/8.42 | (196) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 53.19/8.42 | (197) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 53.19/8.42 | (198) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 53.19/8.42 | (199) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 53.19/8.42 |
% 53.19/8.42 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 53.19/8.42 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 53.19/8.42 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 53.19/8.42 | (200) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) =
% 53.19/8.42 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 &
% 53.19/8.42 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) =
% 53.19/8.42 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 &
% 53.19/8.42 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23)
% 53.19/8.42 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 &
% 53.19/8.42 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 53.19/8.42 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 53.19/8.42 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 53.19/8.42 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 53.19/8.42 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 |
% 53.19/8.42 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22
% 53.19/8.42 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 =
% 53.19/8.42 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3
% 53.19/8.42 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 |
% 53.19/8.42 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23
% 53.19/8.42 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 =
% 53.19/8.42 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7
% 53.19/8.42 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) &
% 53.19/8.42 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) &
% 53.19/8.42 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) &
% 53.19/8.42 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 53.19/8.42 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 |
% 53.19/8.42 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 =
% 53.19/8.42 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 |
% 53.19/8.42 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 =
% 53.19/8.42 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 |
% 53.19/8.42 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20)
% 53.19/8.42 |
% 53.19/8.42 | ALPHA: (200) implies:
% 53.19/8.42 | (201) op2(e20, e20) = all_18_15
% 53.19/8.42 | (202) op2(e20, e21) = all_18_14
% 53.19/8.42 | (203) op2(e20, e22) = all_18_13
% 53.19/8.42 | (204) op2(e20, e23) = all_18_12
% 53.19/8.42 | (205) op2(e21, e20) = all_18_11
% 53.19/8.42 | (206) op2(e21, e21) = all_18_10
% 53.19/8.42 | (207) op2(e21, e22) = all_18_9
% 53.19/8.42 | (208) op2(e21, e23) = all_18_8
% 53.19/8.42 | (209) op2(e22, e20) = all_18_7
% 53.19/8.42 | (210) op2(e22, e21) = all_18_6
% 53.19/8.42 | (211) op2(e22, e22) = all_18_5
% 53.19/8.42 | (212) op2(e22, e23) = all_18_4
% 53.19/8.42 | (213) op2(e23, e20) = all_18_3
% 53.19/8.42 | (214) op2(e23, e21) = all_18_2
% 53.19/8.42 | (215) op2(e23, e22) = all_18_1
% 53.19/8.42 | (216) op2(e23, e23) = all_18_0
% 53.19/8.42 | (217) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20
% 53.19/8.42 | (218) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 53.19/8.42 | (219) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 53.19/8.42 | (220) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 53.19/8.42 | (221) all_18_5 = e23 | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 53.19/8.42 | (222) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 53.19/8.42 | (223) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 53.19/8.42 | (224) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 53.19/8.42 |
% 53.19/8.42 | DELTA: instantiating (4) with fresh symbols all_20_0, all_20_1, all_20_2,
% 53.19/8.42 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 53.19/8.42 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 53.19/8.43 | (225) op2(e23, e23) = all_20_0 & op2(e23, e22) = all_20_1 & op2(e23, e21) =
% 53.19/8.43 | all_20_4 & op2(e23, e20) = all_20_9 & op2(e22, e23) = all_20_2 &
% 53.19/8.43 | op2(e22, e22) = all_20_3 & op2(e22, e21) = all_20_5 & op2(e22, e20) =
% 53.19/8.43 | all_20_10 & op2(e21, e23) = all_20_6 & op2(e21, e22) = all_20_7 &
% 53.19/8.43 | op2(e21, e21) = all_20_8 & op2(e21, e20) = all_20_11 & op2(e20, e23)
% 53.19/8.43 | = all_20_12 & op2(e20, e22) = all_20_13 & op2(e20, e21) = all_20_14 &
% 53.19/8.43 | op2(e20, e20) = all_20_15 & $i(all_20_0) & $i(all_20_1) &
% 53.19/8.43 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 53.19/8.43 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 53.19/8.43 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 53.19/8.43 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e23 | all_20_1 = e23 |
% 53.19/8.43 | all_20_4 = e23 | all_20_9 = e23) & (all_20_0 = e23 | all_20_2 = e23
% 53.19/8.43 | | all_20_6 = e23 | all_20_12 = e23) & (all_20_0 = e22 | all_20_1 =
% 53.19/8.43 | e22 | all_20_4 = e22 | all_20_9 = e22) & (all_20_0 = e22 | all_20_2
% 53.19/8.43 | = e22 | all_20_6 = e22 | all_20_12 = e22) & (all_20_0 = e21 |
% 53.19/8.43 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21) & (all_20_0 = e21
% 53.19/8.43 | | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21) & (all_20_0 =
% 53.19/8.43 | e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20) & (all_20_0
% 53.19/8.43 | = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20) &
% 53.19/8.43 | (all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23)
% 53.19/8.43 | & (all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 =
% 53.19/8.43 | e22) & (all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 |
% 53.19/8.43 | all_20_13 = e21) & (all_20_1 = e20 | all_20_3 = e20 | all_20_7 =
% 53.19/8.43 | e20 | all_20_13 = e20) & (all_20_2 = e23 | all_20_3 = e23 |
% 53.19/8.43 | all_20_5 = e23 | all_20_10 = e23) & (all_20_2 = e22 | all_20_3 =
% 53.19/8.43 | e22 | all_20_5 = e22 | all_20_10 = e22) & (all_20_2 = e21 |
% 53.19/8.43 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21) & (all_20_2 =
% 53.19/8.43 | e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20) &
% 53.19/8.43 | (all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23)
% 53.19/8.43 | & (all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 =
% 53.19/8.43 | e22) & (all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 |
% 53.19/8.43 | all_20_14 = e21) & (all_20_4 = e20 | all_20_5 = e20 | all_20_8 =
% 53.19/8.43 | e20 | all_20_14 = e20) & (all_20_6 = e23 | all_20_7 = e23 |
% 53.19/8.43 | all_20_8 = e23 | all_20_11 = e23) & (all_20_6 = e22 | all_20_7 =
% 53.19/8.43 | e22 | all_20_8 = e22 | all_20_11 = e22) & (all_20_6 = e21 |
% 53.19/8.43 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21) & (all_20_6 =
% 53.19/8.43 | e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20) &
% 53.19/8.43 | (all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 =
% 53.19/8.43 | e23) & (all_20_9 = e22 | all_20_10 = e22 | all_20_11 = e22 |
% 53.19/8.43 | all_20_15 = e22) & (all_20_9 = e21 | all_20_10 = e21 | all_20_11 =
% 53.19/8.43 | e21 | all_20_15 = e21) & (all_20_12 = e23 | all_20_13 = e23 |
% 53.19/8.43 | all_20_14 = e23 | all_20_15 = e23) & (all_20_12 = e22 | all_20_13 =
% 53.19/8.43 | e22 | all_20_14 = e22 | all_20_15 = e22) & (all_20_12 = e21 |
% 53.19/8.43 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21) & (all_20_15 =
% 53.19/8.43 | e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20) &
% 53.19/8.43 | (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20)))
% 53.19/8.43 |
% 53.19/8.43 | ALPHA: (225) implies:
% 53.19/8.43 | (226) op2(e20, e20) = all_20_15
% 53.19/8.43 | (227) op2(e20, e21) = all_20_14
% 53.19/8.43 | (228) op2(e20, e22) = all_20_13
% 53.19/8.43 | (229) op2(e20, e23) = all_20_12
% 53.19/8.43 | (230) op2(e21, e20) = all_20_11
% 53.19/8.43 | (231) op2(e21, e21) = all_20_8
% 53.19/8.43 | (232) op2(e21, e22) = all_20_7
% 53.19/8.43 | (233) op2(e21, e23) = all_20_6
% 53.19/8.43 | (234) op2(e22, e20) = all_20_10
% 53.19/8.43 | (235) op2(e22, e21) = all_20_5
% 53.19/8.43 | (236) op2(e22, e22) = all_20_3
% 53.19/8.43 | (237) op2(e22, e23) = all_20_2
% 53.19/8.43 | (238) op2(e23, e20) = all_20_9
% 53.19/8.43 | (239) op2(e23, e21) = all_20_4
% 53.19/8.43 | (240) op2(e23, e22) = all_20_1
% 53.19/8.43 | (241) op2(e23, e23) = all_20_0
% 53.19/8.43 | (242) all_20_15 = e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 =
% 53.19/8.43 | e20) & (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20))
% 53.19/8.43 | (243) all_20_12 = e21 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21
% 53.19/8.43 | (244) all_20_6 = e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 53.19/8.43 | (245) all_20_6 = e23 | all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 53.19/8.43 | (246) all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 53.19/8.43 | (247) all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23
% 53.19/8.43 | (248) all_20_2 = e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20
% 53.19/8.43 | (249) all_20_2 = e22 | all_20_3 = e22 | all_20_5 = e22 | all_20_10 = e22
% 53.19/8.43 | (250) all_20_2 = e23 | all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23
% 53.19/8.43 | (251) all_20_1 = e20 | all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20
% 53.19/8.43 | (252) all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 | all_20_13 = e21
% 53.19/8.43 | (253) all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 53.19/8.43 | (254) all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23
% 53.19/8.43 | (255) all_20_0 = e22 | all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22
% 53.19/8.43 | (256) all_20_0 = e23 | all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 53.19/8.43 | (257) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 53.19/8.43 |
% 53.19/8.43 | DELTA: instantiating (2) with fresh symbols all_22_0, all_22_1, all_22_2,
% 53.19/8.43 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 53.19/8.43 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 53.19/8.44 | (258) op1(e13, e13) = all_22_0 & op1(e13, e12) = all_22_1 & op1(e13, e11) =
% 53.19/8.44 | all_22_4 & op1(e13, e10) = all_22_9 & op1(e12, e13) = all_22_2 &
% 53.19/8.44 | op1(e12, e12) = all_22_3 & op1(e12, e11) = all_22_5 & op1(e12, e10) =
% 53.19/8.44 | all_22_10 & op1(e11, e13) = all_22_6 & op1(e11, e12) = all_22_7 &
% 53.19/8.44 | op1(e11, e11) = all_22_8 & op1(e11, e10) = all_22_11 & op1(e10, e13)
% 53.19/8.44 | = all_22_12 & op1(e10, e12) = all_22_13 & op1(e10, e11) = all_22_14 &
% 53.19/8.44 | op1(e10, e10) = all_22_15 & $i(all_22_0) & $i(all_22_1) &
% 53.19/8.44 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 53.19/8.44 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 53.19/8.44 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 53.19/8.44 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e13 | all_22_1 = e13 |
% 53.19/8.44 | all_22_4 = e13 | all_22_9 = e13) & (all_22_0 = e13 | all_22_2 = e13
% 53.19/8.44 | | all_22_6 = e13 | all_22_12 = e13) & (all_22_0 = e12 | all_22_1 =
% 53.19/8.44 | e12 | all_22_4 = e12 | all_22_9 = e12) & (all_22_0 = e12 | all_22_2
% 53.19/8.44 | = e12 | all_22_6 = e12 | all_22_12 = e12) & (all_22_0 = e11 |
% 53.19/8.44 | all_22_1 = e11 | all_22_4 = e11 | all_22_9 = e11) & (all_22_0 = e11
% 53.19/8.44 | | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11) & (all_22_0 =
% 53.19/8.44 | e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10) & (all_22_0
% 53.19/8.44 | = e10 | all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10) &
% 53.19/8.44 | (all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13)
% 53.19/8.44 | & (all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 =
% 53.19/8.44 | e12) & (all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 |
% 53.19/8.44 | all_22_13 = e11) & (all_22_1 = e10 | all_22_3 = e10 | all_22_7 =
% 53.19/8.44 | e10 | all_22_13 = e10) & (all_22_2 = e13 | all_22_3 = e13 |
% 53.19/8.44 | all_22_5 = e13 | all_22_10 = e13) & (all_22_2 = e12 | all_22_3 =
% 53.19/8.44 | e12 | all_22_5 = e12 | all_22_10 = e12) & (all_22_2 = e11 |
% 53.19/8.44 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11) & (all_22_2 =
% 53.19/8.44 | e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10) &
% 53.19/8.44 | (all_22_4 = e13 | all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13)
% 53.19/8.44 | & (all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 =
% 53.19/8.44 | e12) & (all_22_4 = e11 | all_22_5 = e11 | all_22_8 = e11 |
% 53.19/8.44 | all_22_14 = e11) & (all_22_4 = e10 | all_22_5 = e10 | all_22_8 =
% 53.19/8.44 | e10 | all_22_14 = e10) & (all_22_6 = e13 | all_22_7 = e13 |
% 53.19/8.44 | all_22_8 = e13 | all_22_11 = e13) & (all_22_6 = e12 | all_22_7 =
% 53.19/8.44 | e12 | all_22_8 = e12 | all_22_11 = e12) & (all_22_6 = e11 |
% 53.19/8.44 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11) & (all_22_6 =
% 53.19/8.44 | e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10) &
% 53.19/8.44 | (all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 =
% 53.19/8.44 | e13) & (all_22_9 = e12 | all_22_10 = e12 | all_22_11 = e12 |
% 53.19/8.44 | all_22_15 = e12) & (all_22_9 = e11 | all_22_10 = e11 | all_22_11 =
% 53.19/8.44 | e11 | all_22_15 = e11) & (all_22_12 = e13 | all_22_13 = e13 |
% 53.19/8.44 | all_22_14 = e13 | all_22_15 = e13) & (all_22_12 = e12 | all_22_13 =
% 53.19/8.44 | e12 | all_22_14 = e12 | all_22_15 = e12) & (all_22_12 = e11 |
% 53.19/8.44 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11) & (all_22_15 =
% 53.19/8.44 | e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10) &
% 53.19/8.44 | (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10)))
% 53.19/8.44 |
% 53.19/8.44 | ALPHA: (258) implies:
% 53.19/8.44 | (259) op1(e10, e10) = all_22_15
% 53.19/8.44 | (260) op1(e10, e11) = all_22_14
% 53.19/8.44 | (261) op1(e10, e12) = all_22_13
% 53.19/8.44 | (262) op1(e10, e13) = all_22_12
% 53.19/8.44 | (263) op1(e11, e10) = all_22_11
% 53.19/8.44 | (264) op1(e11, e11) = all_22_8
% 53.19/8.44 | (265) op1(e11, e12) = all_22_7
% 53.19/8.44 | (266) op1(e11, e13) = all_22_6
% 53.19/8.44 | (267) op1(e12, e10) = all_22_10
% 53.19/8.44 | (268) op1(e12, e11) = all_22_5
% 53.19/8.44 | (269) op1(e12, e12) = all_22_3
% 53.19/8.44 | (270) op1(e12, e13) = all_22_2
% 53.19/8.44 | (271) op1(e13, e10) = all_22_9
% 53.19/8.44 | (272) op1(e13, e11) = all_22_4
% 53.19/8.44 | (273) op1(e13, e12) = all_22_1
% 53.19/8.44 | (274) op1(e13, e13) = all_22_0
% 53.19/8.44 | (275) all_22_15 = e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 53.19/8.44 | e10) & (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10))
% 53.19/8.44 | (276) all_22_12 = e11 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11
% 53.19/8.44 | (277) all_22_9 = e11 | all_22_10 = e11 | all_22_11 = e11 | all_22_15 = e11
% 53.19/8.44 | (278) all_22_6 = e12 | all_22_7 = e12 | all_22_8 = e12 | all_22_11 = e12
% 53.19/8.44 | (279) all_22_6 = e13 | all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13
% 53.19/8.44 | (280) all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 53.19/8.44 | (281) all_22_4 = e13 | all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13
% 53.19/8.44 | (282) all_22_2 = e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10
% 53.19/8.44 | (283) all_22_2 = e11 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 53.19/8.44 | (284) all_22_2 = e12 | all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 53.19/8.44 | (285) all_22_2 = e13 | all_22_3 = e13 | all_22_5 = e13 | all_22_10 = e13
% 53.19/8.44 | (286) all_22_1 = e10 | all_22_3 = e10 | all_22_7 = e10 | all_22_13 = e10
% 53.19/8.44 | (287) all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13
% 53.19/8.44 | (288) all_22_0 = e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10
% 53.19/8.44 | (289) all_22_0 = e12 | all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 53.19/8.44 | (290) all_22_0 = e13 | all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 53.19/8.44 | (291) all_22_0 = e13 | all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 53.19/8.44 |
% 53.19/8.44 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2,
% 53.19/8.44 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 53.19/8.44 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15,
% 53.19/8.44 | all_24_16, all_24_17, all_24_18, all_24_19, all_24_20, all_24_21,
% 53.19/8.44 | all_24_22, all_24_23, all_24_24, all_24_25, all_24_26, all_24_27,
% 53.19/8.44 | all_24_28, all_24_29, all_24_30, all_24_31 gives:
% 53.19/8.44 | (292) op2(e23, all_24_19) = all_24_1 & op2(e23, all_24_22) = all_24_2 &
% 53.19/8.44 | op2(e23, all_24_25) = all_24_3 & op2(e23, all_24_26) = all_24_0 &
% 53.19/8.44 | op2(e23, e23) = all_24_26 & op2(e23, e22) = all_24_19 & op2(e23, e21)
% 53.19/8.44 | = all_24_22 & op2(e23, e20) = all_24_25 & op2(e22, all_24_16) =
% 53.19/8.44 | all_24_4 & op2(e22, all_24_23) = all_24_6 & op2(e22, all_24_27) =
% 53.19/8.44 | all_24_7 & op2(e22, all_24_28) = all_24_5 & op2(e22, e23) = all_24_16
% 53.19/8.44 | & op2(e22, e22) = all_24_28 & op2(e22, e21) = all_24_23 & op2(e22,
% 53.19/8.44 | e20) = all_24_27 & op2(e21, all_24_17) = all_24_8 & op2(e21,
% 53.19/8.44 | all_24_20) = all_24_9 & op2(e21, all_24_29) = all_24_11 & op2(e21,
% 53.19/8.44 | all_24_30) = all_24_10 & op2(e21, e23) = all_24_17 & op2(e21, e22)
% 53.19/8.44 | = all_24_20 & op2(e21, e21) = all_24_30 & op2(e21, e20) = all_24_29 &
% 53.19/8.44 | op2(e20, all_24_18) = all_24_12 & op2(e20, all_24_21) = all_24_13 &
% 53.19/8.44 | op2(e20, all_24_24) = all_24_14 & op2(e20, all_24_31) = all_24_15 &
% 53.19/8.44 | op2(e20, e23) = all_24_18 & op2(e20, e22) = all_24_21 & op2(e20, e21)
% 53.19/8.44 | = all_24_24 & op2(e20, e20) = all_24_31 & $i(all_24_0) & $i(all_24_1)
% 53.19/8.44 | & $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 53.19/8.44 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 53.19/8.44 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 53.19/8.44 | $i(all_24_14) & $i(all_24_15) & $i(all_24_16) & $i(all_24_17) &
% 53.19/8.44 | $i(all_24_18) & $i(all_24_19) & $i(all_24_20) & $i(all_24_21) &
% 53.19/8.44 | $i(all_24_22) & $i(all_24_23) & $i(all_24_24) & $i(all_24_25) &
% 53.19/8.44 | $i(all_24_26) & $i(all_24_27) & $i(all_24_28) & $i(all_24_29) &
% 53.19/8.44 | $i(all_24_30) & $i(all_24_31) & ((all_24_0 = e23 & all_24_1 = e22 &
% 53.19/8.44 | all_24_2 = e21 & all_24_3 = e20 & ( ~ (all_24_28 = e23) |
% 53.19/8.44 | all_24_16 = e22) & ( ~ (all_24_30 = e23) | all_24_17 = e21) & (
% 53.19/8.44 | ~ (all_24_31 = e23) | all_24_18 = e20)) | (all_24_4 = e23 &
% 53.19/8.44 | all_24_5 = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~ (all_24_26
% 53.19/8.44 | = e22) | all_24_19 = e23) & ( ~ (all_24_30 = e22) | all_24_20
% 53.19/8.44 | = e21) & ( ~ (all_24_31 = e22) | all_24_21 = e20)) | (all_24_8
% 53.19/8.44 | = e23 & all_24_9 = e22 & all_24_10 = e21 & all_24_11 = e20 & ( ~
% 53.19/8.44 | (all_24_26 = e21) | all_24_22 = e23) & ( ~ (all_24_28 = e21) |
% 53.19/8.44 | all_24_23 = e22) & ( ~ (all_24_31 = e21) | all_24_24 = e20)) |
% 53.19/8.44 | (all_24_12 = e23 & all_24_13 = e22 & all_24_14 = e21 & all_24_15 =
% 53.19/8.44 | e20 & ( ~ (all_24_26 = e20) | all_24_25 = e23) & ( ~ (all_24_28 =
% 53.19/8.44 | e20) | all_24_27 = e22) & ( ~ (all_24_30 = e20) | all_24_29 =
% 53.19/8.44 | e21))) & ((all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 =
% 53.19/8.44 | e21) & ~ (all_24_28 = e23)) | (all_24_16 = e22 & all_24_31 =
% 53.19/8.44 | e23 & ~ (all_24_18 = e20) & ~ (all_24_28 = e23)) | (all_24_17 =
% 53.19/8.44 | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_30 =
% 53.19/8.44 | e23)) | (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 =
% 53.19/8.44 | e20) & ~ (all_24_30 = e23)) | (all_24_18 = e20 & all_24_28 =
% 53.19/8.44 | e23 & ~ (all_24_16 = e22) & ~ (all_24_31 = e23)) | (all_24_18 =
% 53.19/8.44 | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_31 =
% 53.19/8.44 | e23)) | (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 =
% 53.19/8.44 | e21) & ~ (all_24_26 = e22)) | (all_24_19 = e23 & all_24_31 =
% 53.19/8.44 | e22 & ~ (all_24_21 = e20) & ~ (all_24_26 = e22)) | (all_24_20 =
% 53.19/8.44 | e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30 =
% 53.19/8.44 | e22)) | (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 =
% 53.19/8.44 | e20) & ~ (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 =
% 53.19/8.44 | e22 & ~ (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 =
% 53.19/8.44 | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 =
% 53.19/8.44 | e22)) | (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 =
% 53.19/8.44 | e22) & ~ (all_24_26 = e21)) | (all_24_22 = e23 & all_24_31 =
% 53.19/8.44 | e21 & ~ (all_24_24 = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 53.19/8.44 | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) & ~ (all_24_28 =
% 53.19/8.44 | e21)) | (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 =
% 53.19/8.44 | e20) & ~ (all_24_28 = e21)) | (all_24_24 = e20 & all_24_26 =
% 53.19/8.44 | e21 & ~ (all_24_22 = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 53.19/8.44 | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) & ~ (all_24_31 =
% 53.19/8.44 | e21)) | (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 =
% 53.19/8.44 | e20) & ~ (all_24_27 = e22)) | (all_24_25 = e23 & all_24_30 =
% 53.19/8.44 | e20 & ~ (all_24_26 = e20) & ~ (all_24_29 = e21)) | (all_24_26 =
% 53.19/8.44 | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) & ~ (all_24_28 =
% 53.19/8.44 | e20)) | (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 =
% 53.19/8.44 | e23) & ~ (all_24_30 = e20)) | (all_24_27 = e22 & all_24_30 =
% 53.19/8.44 | e20 & ~ (all_24_28 = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 53.19/8.44 | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) & ~ (all_24_30 =
% 53.19/8.44 | e20)))
% 53.19/8.44 |
% 53.19/8.44 | ALPHA: (292) implies:
% 53.19/8.44 | (293) op2(e20, e20) = all_24_31
% 53.19/8.44 | (294) op2(e20, e21) = all_24_24
% 53.19/8.44 | (295) op2(e20, e22) = all_24_21
% 53.19/8.44 | (296) op2(e20, e23) = all_24_18
% 53.19/8.44 | (297) op2(e20, all_24_31) = all_24_15
% 53.19/8.44 | (298) op2(e21, e20) = all_24_29
% 53.19/8.44 | (299) op2(e21, e21) = all_24_30
% 53.19/8.44 | (300) op2(e21, e22) = all_24_20
% 53.19/8.44 | (301) op2(e21, e23) = all_24_17
% 53.19/8.44 | (302) op2(e21, all_24_30) = all_24_10
% 53.19/8.44 | (303) op2(e22, e20) = all_24_27
% 53.19/8.44 | (304) op2(e22, e21) = all_24_23
% 53.19/8.44 | (305) op2(e22, e22) = all_24_28
% 53.19/8.44 | (306) op2(e22, e23) = all_24_16
% 53.19/8.44 | (307) op2(e22, all_24_28) = all_24_5
% 53.19/8.44 | (308) op2(e22, all_24_27) = all_24_7
% 53.19/8.44 | (309) op2(e22, all_24_23) = all_24_6
% 53.19/8.45 | (310) op2(e23, e20) = all_24_25
% 53.19/8.45 | (311) op2(e23, e21) = all_24_22
% 53.19/8.45 | (312) op2(e23, e22) = all_24_19
% 53.19/8.45 | (313) op2(e23, e23) = all_24_26
% 53.19/8.45 | (314) op2(e23, all_24_26) = all_24_0
% 53.19/8.45 | (315) op2(e23, all_24_25) = all_24_3
% 53.19/8.45 | (316) op2(e23, all_24_22) = all_24_2
% 53.19/8.45 | (317) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.19/8.45 | (all_24_28 = e23)) | (all_24_16 = e22 & all_24_31 = e23 & ~
% 53.19/8.45 | (all_24_18 = e20) & ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.19/8.45 | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_30 = e23)) |
% 53.19/8.45 | (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.19/8.45 | (all_24_30 = e23)) | (all_24_18 = e20 & all_24_28 = e23 & ~
% 53.19/8.45 | (all_24_16 = e22) & ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.19/8.45 | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_31 = e23)) |
% 53.19/8.45 | (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.19/8.45 | (all_24_26 = e22)) | (all_24_19 = e23 & all_24_31 = e22 & ~
% 53.19/8.45 | (all_24_21 = e20) & ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.19/8.45 | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30 = e22)) |
% 53.19/8.45 | (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.19/8.45 | (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 = e22 & ~
% 53.19/8.45 | (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.19/8.45 | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 = e22)) |
% 53.19/8.45 | (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.19/8.45 | (all_24_26 = e21)) | (all_24_22 = e23 & all_24_31 = e21 & ~
% 53.19/8.45 | (all_24_24 = e20) & ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.19/8.45 | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ (all_24_28 = e21)) |
% 53.19/8.45 | (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.19/8.45 | (all_24_28 = e21)) | (all_24_24 = e20 & all_24_26 = e21 & ~
% 53.19/8.45 | (all_24_22 = e23) & ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.19/8.45 | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ (all_24_31 = e21)) |
% 53.19/8.45 | (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 53.19/8.45 | (all_24_27 = e22)) | (all_24_25 = e23 & all_24_30 = e20 & ~
% 53.19/8.45 | (all_24_26 = e20) & ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.19/8.45 | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ (all_24_28 = e20)) |
% 53.19/8.45 | (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.19/8.45 | (all_24_30 = e20)) | (all_24_27 = e22 & all_24_30 = e20 & ~
% 53.19/8.45 | (all_24_28 = e20) & ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.19/8.45 | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ (all_24_30 = e20))
% 53.19/8.45 | (318) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 & all_24_3 = e20 &
% 53.19/8.45 | ( ~ (all_24_28 = e23) | all_24_16 = e22) & ( ~ (all_24_30 = e23) |
% 53.19/8.45 | all_24_17 = e21) & ( ~ (all_24_31 = e23) | all_24_18 = e20)) |
% 53.19/8.45 | (all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 & all_24_7 = e20 &
% 53.19/8.45 | ( ~ (all_24_26 = e22) | all_24_19 = e23) & ( ~ (all_24_30 = e22) |
% 53.19/8.45 | all_24_20 = e21) & ( ~ (all_24_31 = e22) | all_24_21 = e20)) |
% 53.19/8.45 | (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 & all_24_11 = e20
% 53.19/8.45 | & ( ~ (all_24_26 = e21) | all_24_22 = e23) & ( ~ (all_24_28 = e21)
% 53.19/8.45 | | all_24_23 = e22) & ( ~ (all_24_31 = e21) | all_24_24 = e20)) |
% 53.19/8.45 | (all_24_12 = e23 & all_24_13 = e22 & all_24_14 = e21 & all_24_15 =
% 53.19/8.45 | e20 & ( ~ (all_24_26 = e20) | all_24_25 = e23) & ( ~ (all_24_28 =
% 53.19/8.45 | e20) | all_24_27 = e22) & ( ~ (all_24_30 = e20) | all_24_29 =
% 53.19/8.45 | e21))
% 53.19/8.45 |
% 53.19/8.45 | DELTA: instantiating (12) with fresh symbols all_26_0, all_26_1, all_26_2,
% 53.19/8.45 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 53.19/8.45 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15,
% 53.19/8.45 | all_26_16, all_26_17, all_26_18, all_26_19, all_26_20, all_26_21,
% 53.19/8.45 | all_26_22, all_26_23, all_26_24, all_26_25, all_26_26, all_26_27,
% 53.19/8.45 | all_26_28, all_26_29, all_26_30, all_26_31 gives:
% 53.19/8.45 | (319) op1(e13, all_26_19) = all_26_1 & op1(e13, all_26_22) = all_26_2 &
% 53.19/8.45 | op1(e13, all_26_25) = all_26_3 & op1(e13, all_26_26) = all_26_0 &
% 53.19/8.45 | op1(e13, e13) = all_26_26 & op1(e13, e12) = all_26_19 & op1(e13, e11)
% 53.19/8.45 | = all_26_22 & op1(e13, e10) = all_26_25 & op1(e12, all_26_16) =
% 53.19/8.45 | all_26_4 & op1(e12, all_26_23) = all_26_6 & op1(e12, all_26_27) =
% 53.19/8.45 | all_26_7 & op1(e12, all_26_28) = all_26_5 & op1(e12, e13) = all_26_16
% 53.19/8.45 | & op1(e12, e12) = all_26_28 & op1(e12, e11) = all_26_23 & op1(e12,
% 53.19/8.45 | e10) = all_26_27 & op1(e11, all_26_17) = all_26_8 & op1(e11,
% 53.19/8.45 | all_26_20) = all_26_9 & op1(e11, all_26_29) = all_26_11 & op1(e11,
% 53.19/8.45 | all_26_30) = all_26_10 & op1(e11, e13) = all_26_17 & op1(e11, e12)
% 53.19/8.45 | = all_26_20 & op1(e11, e11) = all_26_30 & op1(e11, e10) = all_26_29 &
% 53.19/8.45 | op1(e10, all_26_18) = all_26_12 & op1(e10, all_26_21) = all_26_13 &
% 53.19/8.45 | op1(e10, all_26_24) = all_26_14 & op1(e10, all_26_31) = all_26_15 &
% 53.19/8.45 | op1(e10, e13) = all_26_18 & op1(e10, e12) = all_26_21 & op1(e10, e11)
% 53.19/8.45 | = all_26_24 & op1(e10, e10) = all_26_31 & $i(all_26_0) & $i(all_26_1)
% 53.19/8.45 | & $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 53.19/8.45 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 53.19/8.45 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 53.19/8.45 | $i(all_26_14) & $i(all_26_15) & $i(all_26_16) & $i(all_26_17) &
% 53.19/8.45 | $i(all_26_18) & $i(all_26_19) & $i(all_26_20) & $i(all_26_21) &
% 53.19/8.45 | $i(all_26_22) & $i(all_26_23) & $i(all_26_24) & $i(all_26_25) &
% 53.19/8.45 | $i(all_26_26) & $i(all_26_27) & $i(all_26_28) & $i(all_26_29) &
% 53.19/8.45 | $i(all_26_30) & $i(all_26_31) & ((all_26_0 = e13 & all_26_1 = e12 &
% 53.19/8.45 | all_26_2 = e11 & all_26_3 = e10 & ( ~ (all_26_28 = e13) |
% 53.19/8.45 | all_26_16 = e12) & ( ~ (all_26_30 = e13) | all_26_17 = e11) & (
% 53.19/8.45 | ~ (all_26_31 = e13) | all_26_18 = e10)) | (all_26_4 = e13 &
% 53.19/8.45 | all_26_5 = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~ (all_26_26
% 53.19/8.45 | = e12) | all_26_19 = e13) & ( ~ (all_26_30 = e12) | all_26_20
% 53.19/8.45 | = e11) & ( ~ (all_26_31 = e12) | all_26_21 = e10)) | (all_26_8
% 53.19/8.45 | = e13 & all_26_9 = e12 & all_26_10 = e11 & all_26_11 = e10 & ( ~
% 53.19/8.45 | (all_26_26 = e11) | all_26_22 = e13) & ( ~ (all_26_28 = e11) |
% 53.19/8.45 | all_26_23 = e12) & ( ~ (all_26_31 = e11) | all_26_24 = e10)) |
% 53.19/8.45 | (all_26_12 = e13 & all_26_13 = e12 & all_26_14 = e11 & all_26_15 =
% 53.19/8.45 | e10 & ( ~ (all_26_26 = e10) | all_26_25 = e13) & ( ~ (all_26_28 =
% 53.19/8.45 | e10) | all_26_27 = e12) & ( ~ (all_26_30 = e10) | all_26_29 =
% 53.19/8.45 | e11))) & ((all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 =
% 53.19/8.45 | e11) & ~ (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 =
% 53.19/8.45 | e13 & ~ (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 =
% 53.19/8.45 | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 =
% 53.19/8.45 | e13)) | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 =
% 53.19/8.45 | e10) & ~ (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 =
% 53.19/8.45 | e13 & ~ (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 =
% 53.19/8.45 | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 =
% 53.19/8.45 | e13)) | (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 =
% 53.19/8.45 | e11) & ~ (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 =
% 53.19/8.45 | e12 & ~ (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 =
% 53.19/8.45 | e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 =
% 53.19/8.45 | e12)) | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 =
% 53.19/8.45 | e10) & ~ (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 =
% 53.19/8.45 | e12 & ~ (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 =
% 53.19/8.45 | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 =
% 53.19/8.45 | e12)) | (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 =
% 53.19/8.45 | e12) & ~ (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 =
% 53.19/8.45 | e11 & ~ (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 53.19/8.45 | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 =
% 53.19/8.45 | e11)) | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 =
% 53.19/8.45 | e10) & ~ (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 =
% 53.19/8.45 | e11 & ~ (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 =
% 53.19/8.45 | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 =
% 53.19/8.45 | e11)) | (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 =
% 53.19/8.45 | e10) & ~ (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 =
% 53.19/8.45 | e10 & ~ (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 =
% 53.19/8.45 | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 =
% 53.19/8.45 | e10)) | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 =
% 53.19/8.45 | e13) & ~ (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 =
% 53.19/8.45 | e10 & ~ (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 =
% 53.19/8.45 | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 =
% 53.19/8.45 | e10)))
% 53.19/8.45 |
% 53.19/8.45 | ALPHA: (319) implies:
% 53.19/8.45 | (320) op1(e10, e10) = all_26_31
% 53.19/8.45 | (321) op1(e10, e11) = all_26_24
% 53.19/8.45 | (322) op1(e10, e12) = all_26_21
% 53.19/8.45 | (323) op1(e10, e13) = all_26_18
% 53.19/8.45 | (324) op1(e10, all_26_31) = all_26_15
% 53.19/8.45 | (325) op1(e11, e10) = all_26_29
% 53.19/8.45 | (326) op1(e11, e11) = all_26_30
% 53.19/8.45 | (327) op1(e11, e12) = all_26_20
% 53.19/8.45 | (328) op1(e11, e13) = all_26_17
% 53.19/8.45 | (329) op1(e12, e10) = all_26_27
% 53.19/8.45 | (330) op1(e12, e11) = all_26_23
% 53.19/8.45 | (331) op1(e12, e12) = all_26_28
% 53.19/8.45 | (332) op1(e12, e13) = all_26_16
% 53.19/8.45 | (333) op1(e12, all_26_28) = all_26_5
% 53.19/8.45 | (334) op1(e12, all_26_27) = all_26_7
% 53.19/8.45 | (335) op1(e12, all_26_23) = all_26_6
% 53.19/8.45 | (336) op1(e13, e10) = all_26_25
% 53.19/8.45 | (337) op1(e13, e11) = all_26_22
% 53.19/8.45 | (338) op1(e13, e12) = all_26_19
% 53.19/8.45 | (339) op1(e13, e13) = all_26_26
% 53.19/8.45 | (340) op1(e13, all_26_22) = all_26_2
% 53.19/8.45 | (341) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.19/8.45 | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 53.19/8.45 | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.19/8.45 | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13)) |
% 53.19/8.45 | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.19/8.45 | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 53.19/8.45 | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.19/8.45 | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13)) |
% 53.19/8.45 | (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.19/8.45 | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 53.19/8.45 | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.19/8.45 | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12)) |
% 53.19/8.45 | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.19/8.45 | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 53.19/8.45 | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.19/8.45 | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12)) |
% 53.19/8.45 | (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.19/8.45 | (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = e11 & ~
% 53.19/8.45 | (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.19/8.45 | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = e11)) |
% 53.19/8.45 | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.19/8.45 | (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~
% 53.19/8.45 | (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.19/8.45 | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = e11)) |
% 53.19/8.45 | (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 53.19/8.45 | (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~
% 53.19/8.45 | (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.19/8.45 | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = e10)) |
% 53.19/8.45 | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.19/8.45 | (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~
% 53.19/8.45 | (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.19/8.45 | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = e10))
% 53.19/8.45 | (342) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 & all_26_3 = e10 &
% 53.19/8.45 | ( ~ (all_26_28 = e13) | all_26_16 = e12) & ( ~ (all_26_30 = e13) |
% 53.19/8.45 | all_26_17 = e11) & ( ~ (all_26_31 = e13) | all_26_18 = e10)) |
% 53.19/8.45 | (all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 & all_26_7 = e10 &
% 53.19/8.45 | ( ~ (all_26_26 = e12) | all_26_19 = e13) & ( ~ (all_26_30 = e12) |
% 53.19/8.45 | all_26_20 = e11) & ( ~ (all_26_31 = e12) | all_26_21 = e10)) |
% 53.19/8.45 | (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 & all_26_11 = e10
% 53.19/8.45 | & ( ~ (all_26_26 = e11) | all_26_22 = e13) & ( ~ (all_26_28 = e11)
% 53.19/8.45 | | all_26_23 = e12) & ( ~ (all_26_31 = e11) | all_26_24 = e10)) |
% 53.19/8.45 | (all_26_12 = e13 & all_26_13 = e12 & all_26_14 = e11 & all_26_15 =
% 53.19/8.45 | e10 & ( ~ (all_26_26 = e10) | all_26_25 = e13) & ( ~ (all_26_28 =
% 53.19/8.45 | e10) | all_26_27 = e12) & ( ~ (all_26_30 = e10) | all_26_29 =
% 53.19/8.45 | e11))
% 53.19/8.45 |
% 53.19/8.45 | DELTA: instantiating (24) with fresh symbols all_28_0, all_28_1, all_28_2,
% 53.19/8.45 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 53.19/8.45 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 53.19/8.45 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 53.19/8.45 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 53.19/8.45 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 53.19/8.45 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 53.19/8.45 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 53.19/8.45 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 53.19/8.45 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 53.19/8.45 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 53.19/8.45 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 53.19/8.45 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 53.19/8.45 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 53.19/8.45 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 53.19/8.45 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 53.19/8.45 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 53.19/8.45 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 53.19/8.45 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 53.19/8.45 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 53.19/8.45 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 53.19/8.45 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 53.19/8.45 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 53.19/8.45 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 53.19/8.45 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 53.19/8.45 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 53.19/8.45 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 53.19/8.45 | gives:
% 53.19/8.46 | (343) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 53.19/8.46 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 53.19/8.46 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 53.19/8.46 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 53.19/8.46 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 53.19/8.46 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 53.19/8.46 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 53.19/8.46 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 53.19/8.46 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 53.19/8.46 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 53.19/8.46 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 53.19/8.46 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 53.19/8.46 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 53.19/8.46 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 53.19/8.46 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 53.19/8.46 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 53.19/8.46 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 53.19/8.47 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 53.19/8.47 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 53.19/8.47 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 53.19/8.47 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 53.19/8.47 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 53.19/8.47 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 53.19/8.47 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 53.19/8.47 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 53.19/8.47 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 53.19/8.47 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 53.19/8.47 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 53.19/8.47 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 53.19/8.47 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 53.19/8.47 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 53.19/8.47 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 53.19/8.47 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 53.19/8.47 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 53.19/8.47 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 53.19/8.47 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 53.19/8.47 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 53.19/8.47 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 53.19/8.47 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 53.19/8.47 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 53.19/8.47 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 53.19/8.47 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 53.19/8.47 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 53.19/8.47 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 53.19/8.47 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 53.19/8.47 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 53.19/8.47 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 53.19/8.47 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 53.19/8.47 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 53.19/8.47 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 53.19/8.47 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 53.19/8.47 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 53.19/8.47 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 53.19/8.47 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 53.19/8.47 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 53.19/8.47 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 53.19/8.47 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 53.19/8.47 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 53.19/8.47 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 53.19/8.47 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 53.19/8.47 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 53.19/8.47 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 53.19/8.47 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 53.19/8.47 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 53.19/8.47 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 53.19/8.47 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 53.19/8.47 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 53.19/8.47 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 53.19/8.47 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 53.19/8.47 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 53.19/8.47 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 53.19/8.47 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 53.19/8.47 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 53.19/8.47 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 53.19/8.47 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 53.19/8.47 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 53.19/8.47 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 53.19/8.47 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 53.19/8.47 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 53.19/8.47 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 53.19/8.47 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 53.19/8.47 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 53.19/8.47 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 53.19/8.47 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 53.19/8.47 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 53.19/8.47 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 53.19/8.47 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 53.19/8.47 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 53.19/8.47 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 53.19/8.47 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 53.19/8.47 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 53.19/8.47 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 53.19/8.47 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 53.19/8.47 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 53.19/8.47 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 53.19/8.47 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 53.19/8.47 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 53.19/8.47 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 53.19/8.47 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 53.19/8.47 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 53.19/8.47 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 53.19/8.47 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 53.19/8.47 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 53.19/8.47 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 53.19/8.47 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 53.19/8.47 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 53.19/8.47 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 53.19/8.47 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 53.19/8.47 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 53.19/8.47 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 53.19/8.47 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 53.19/8.47 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 53.19/8.47 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 53.19/8.47 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 53.19/8.47 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 53.19/8.47 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 53.19/8.47 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 53.19/8.47 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 53.19/8.47 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 53.19/8.47 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 53.19/8.47 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 53.19/8.47 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 53.19/8.47 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 53.19/8.47 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 53.19/8.47 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 53.19/8.47 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 53.19/8.47 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 53.19/8.47 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 53.19/8.47 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 53.19/8.47 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 53.19/8.47 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 53.19/8.47 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 53.19/8.47 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 53.19/8.47 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 53.19/8.47 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 53.19/8.47 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 53.19/8.47 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 53.19/8.47 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 53.19/8.47 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 53.19/8.47 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 53.19/8.47 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 53.19/8.47 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 53.19/8.47 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 53.19/8.47 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 53.19/8.47 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 53.19/8.47 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 53.19/8.47 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 53.19/8.47 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 53.19/8.47 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 53.19/8.47 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 53.19/8.47 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 53.19/8.47 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 53.19/8.47 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 53.19/8.47 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 53.19/8.47 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 53.19/8.47 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 53.19/8.47 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 53.19/8.47 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 53.19/8.47 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 53.19/8.47 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 53.19/8.47 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 53.19/8.47 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 53.19/8.47 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 53.19/8.47 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 53.19/8.47 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 53.19/8.47 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 53.19/8.47 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 53.19/8.47 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 53.19/8.47 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 53.19/8.47 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 53.19/8.47 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 53.19/8.47 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 53.19/8.47 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.19/8.47 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 53.19/8.47 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 53.19/8.47 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 53.19/8.47 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 53.19/8.47 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 53.19/8.47 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 53.19/8.47 | (all_28_157 = e20)))
% 53.19/8.47 |
% 53.19/8.47 | ALPHA: (343) implies:
% 53.19/8.47 | (344) op1(e10, e10) = all_28_159
% 53.19/8.47 | (345) op1(e10, e11) = all_28_155
% 53.19/8.47 | (346) op1(e10, e12) = all_28_151
% 53.19/8.47 | (347) op1(e10, e13) = all_28_147
% 53.19/8.47 | (348) op1(e11, e10) = all_28_143
% 53.19/8.47 | (349) op1(e11, e11) = all_28_140
% 53.19/8.47 | (350) op1(e11, e12) = all_28_137
% 53.19/8.47 | (351) op1(e11, e13) = all_28_134
% 53.19/8.47 | (352) op1(e12, e10) = all_28_131
% 53.19/8.47 | (353) op1(e12, e11) = all_28_128
% 53.19/8.47 | (354) op1(e12, e12) = all_28_125
% 53.19/8.47 | (355) op1(e12, e13) = all_28_122
% 53.19/8.47 | (356) op1(e13, e10) = all_28_119
% 53.19/8.47 | (357) op1(e13, e11) = all_28_116
% 53.19/8.47 | (358) op1(e13, e12) = all_28_113
% 53.19/8.47 | (359) op1(e13, e13) = all_28_110
% 53.19/8.47 | (360) op2(all_28_157, all_28_157) = all_28_156
% 53.19/8.47 | (361) op2(all_28_157, all_28_153) = all_28_152
% 53.19/8.47 | (362) op2(all_28_157, all_28_149) = all_28_148
% 53.19/8.47 | (363) op2(all_28_157, all_28_145) = all_28_144
% 53.19/8.47 | (364) op2(all_28_153, all_28_157) = all_28_141
% 53.19/8.47 | (365) op2(all_28_153, all_28_153) = all_28_138
% 53.19/8.47 | (366) op2(all_28_153, all_28_149) = all_28_135
% 53.19/8.47 | (367) op2(all_28_153, all_28_145) = all_28_132
% 53.19/8.47 | (368) op2(all_28_149, all_28_157) = all_28_129
% 53.19/8.47 | (369) op2(all_28_149, all_28_153) = all_28_126
% 53.19/8.47 | (370) op2(all_28_149, all_28_149) = all_28_123
% 53.19/8.47 | (371) op2(all_28_149, all_28_145) = all_28_120
% 53.19/8.47 | (372) op2(all_28_145, all_28_157) = all_28_117
% 53.19/8.47 | (373) op2(all_28_145, all_28_153) = all_28_114
% 53.19/8.47 | (374) op2(all_28_145, all_28_149) = all_28_111
% 53.19/8.47 | (375) op2(all_28_145, all_28_145) = all_28_108
% 53.19/8.47 | (376) op2(all_28_106, all_28_106) = all_28_105
% 53.19/8.47 | (377) op2(all_28_106, all_28_97) = all_28_96
% 53.19/8.47 | (378) op2(all_28_70, all_28_70) = all_28_69
% 53.19/8.47 | (379) op2(all_28_70, all_28_61) = all_28_60
% 53.19/8.47 | (380) op2(all_28_34, all_28_34) = all_28_33
% 53.19/8.47 | (381) op2(all_28_34, all_28_25) = all_28_24
% 53.19/8.47 | (382) op2(all_28_25, all_28_34) = all_28_6
% 53.19/8.47 | (383) op2(all_28_25, all_28_31) = all_28_4
% 53.19/8.47 | (384) op2(all_28_25, all_28_25) = all_28_0
% 53.19/8.47 | (385) h1(e10) = all_28_157
% 53.19/8.47 | (386) h1(e11) = all_28_153
% 53.19/8.47 | (387) h1(e12) = all_28_149
% 53.19/8.47 | (388) h1(e13) = all_28_145
% 53.19/8.47 | (389) h1(all_28_159) = all_28_158
% 53.19/8.47 | (390) h1(all_28_155) = all_28_154
% 53.19/8.47 | (391) h1(all_28_151) = all_28_150
% 53.19/8.47 | (392) h1(all_28_147) = all_28_146
% 53.19/8.47 | (393) h1(all_28_143) = all_28_142
% 53.19/8.47 | (394) h1(all_28_140) = all_28_139
% 53.19/8.47 | (395) h1(all_28_137) = all_28_136
% 53.19/8.47 | (396) h1(all_28_134) = all_28_133
% 53.19/8.47 | (397) h1(all_28_131) = all_28_130
% 53.19/8.47 | (398) h1(all_28_128) = all_28_127
% 53.19/8.47 | (399) h1(all_28_125) = all_28_124
% 53.19/8.47 | (400) h1(all_28_122) = all_28_121
% 53.19/8.47 | (401) h1(all_28_119) = all_28_118
% 53.19/8.47 | (402) h1(all_28_116) = all_28_115
% 53.19/8.47 | (403) h1(all_28_113) = all_28_112
% 53.19/8.47 | (404) h1(all_28_110) = all_28_109
% 53.19/8.47 | (405) h2(e10) = all_28_106
% 53.19/8.47 | (406) h2(e13) = all_28_97
% 53.19/8.47 | (407) h3(e10) = all_28_70
% 53.19/8.47 | (408) h3(e13) = all_28_61
% 53.19/8.47 | (409) h4(e10) = all_28_34
% 53.19/8.47 | (410) h4(e11) = all_28_31
% 53.19/8.47 | (411) h4(e13) = all_28_25
% 53.19/8.47 | (412) ~ (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 53.19/8.47 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 53.19/8.47 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 53.19/8.47 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 53.19/8.47 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 53.19/8.47 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 53.19/8.47 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 53.19/8.47 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.19/8.47 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = e23)
% 53.19/8.47 | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149
% 53.19/8.47 | = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~
% 53.19/8.47 | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 = e21)
% 53.19/8.47 | & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149
% 53.19/8.47 | = e20) & ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with e13, all_26_31, e10, e10, simplifying
% 53.19/8.47 | with (14), (320) gives:
% 53.19/8.47 | (413) all_26_31 = e13
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_26_31, all_28_159, e10, e10,
% 53.19/8.47 | simplifying with (320), (344) gives:
% 53.19/8.47 | (414) all_28_159 = all_26_31
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_22_15, all_28_159, e10, e10,
% 53.19/8.47 | simplifying with (259), (344) gives:
% 53.19/8.47 | (415) all_28_159 = all_22_15
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_16_15, all_28_159, e10, e10,
% 53.19/8.47 | simplifying with (175), (344) gives:
% 53.19/8.47 | (416) all_28_159 = all_16_15
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_12_15, all_28_159, e10, e10,
% 53.19/8.47 | simplifying with (100), (344) gives:
% 53.19/8.47 | (417) all_28_159 = all_12_15
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_26_24, all_28_155, e11, e10,
% 53.19/8.47 | simplifying with (321), (345) gives:
% 53.19/8.47 | (418) all_28_155 = all_26_24
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_22_14, all_28_155, e11, e10,
% 53.19/8.47 | simplifying with (260), (345) gives:
% 53.19/8.47 | (419) all_28_155 = all_22_14
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_16_14, all_28_155, e11, e10,
% 53.19/8.47 | simplifying with (176), (345) gives:
% 53.19/8.47 | (420) all_28_155 = all_16_14
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_12_11, all_28_155, e11, e10,
% 53.19/8.47 | simplifying with (101), (345) gives:
% 53.19/8.47 | (421) all_28_155 = all_12_11
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_16_13, all_26_21, e12, e10,
% 53.19/8.47 | simplifying with (177), (322) gives:
% 53.19/8.47 | (422) all_26_21 = all_16_13
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_12_7, all_26_21, e12, e10,
% 53.19/8.47 | simplifying with (102), (322) gives:
% 53.19/8.47 | (423) all_26_21 = all_12_7
% 53.19/8.47 |
% 53.19/8.47 | GROUND_INST: instantiating (29) with all_26_21, all_28_151, e12, e10,
% 53.19/8.47 | simplifying with (322), (346) gives:
% 53.19/8.47 | (424) all_28_151 = all_26_21
% 53.19/8.47 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_13, all_28_151, e12, e10,
% 53.19/8.48 | simplifying with (261), (346) gives:
% 53.19/8.48 | (425) all_28_151 = all_22_13
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_3, all_22_12, e13, e10,
% 53.19/8.48 | simplifying with (103), (262) gives:
% 53.19/8.48 | (426) all_22_12 = all_12_3
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_12, all_26_18, e13, e10,
% 53.19/8.48 | simplifying with (262), (323) gives:
% 53.19/8.48 | (427) all_26_18 = all_22_12
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_18, all_28_147, e13, e10,
% 53.19/8.48 | simplifying with (323), (347) gives:
% 53.19/8.48 | (428) all_28_147 = all_26_18
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_12, all_28_147, e13, e10,
% 53.19/8.48 | simplifying with (178), (347) gives:
% 53.19/8.48 | (429) all_28_147 = all_16_12
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_11, all_26_29, e10, e11,
% 53.19/8.48 | simplifying with (179), (325) gives:
% 53.19/8.48 | (430) all_26_29 = all_16_11
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_14, all_26_29, e10, e11,
% 53.19/8.48 | simplifying with (104), (325) gives:
% 53.19/8.48 | (431) all_26_29 = all_12_14
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_29, all_28_143, e10, e11,
% 53.19/8.48 | simplifying with (325), (348) gives:
% 53.19/8.48 | (432) all_28_143 = all_26_29
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_11, all_28_143, e10, e11,
% 53.19/8.48 | simplifying with (263), (348) gives:
% 53.19/8.48 | (433) all_28_143 = all_22_11
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_10, all_26_30, e11, e11,
% 53.19/8.48 | simplifying with (105), (326) gives:
% 53.19/8.48 | (434) all_26_30 = all_12_10
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_30, all_28_140, e11, e11,
% 53.19/8.48 | simplifying with (326), (349) gives:
% 53.19/8.48 | (435) all_28_140 = all_26_30
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_8, all_28_140, e11, e11,
% 53.19/8.48 | simplifying with (264), (349) gives:
% 53.19/8.48 | (436) all_28_140 = all_22_8
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_20, all_28_137, e12, e11,
% 53.19/8.48 | simplifying with (327), (350) gives:
% 53.19/8.48 | (437) all_28_137 = all_26_20
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_7, all_28_137, e12, e11,
% 53.19/8.48 | simplifying with (265), (350) gives:
% 53.19/8.48 | (438) all_28_137 = all_22_7
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_9, all_28_137, e12, e11,
% 53.19/8.48 | simplifying with (180), (350) gives:
% 53.19/8.48 | (439) all_28_137 = all_16_9
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_6, all_28_137, e12, e11,
% 53.19/8.48 | simplifying with (106), (350) gives:
% 53.19/8.48 | (440) all_28_137 = all_12_6
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_17, all_28_134, e13, e11,
% 53.19/8.48 | simplifying with (328), (351) gives:
% 53.19/8.48 | (441) all_28_134 = all_26_17
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_6, all_28_134, e13, e11,
% 53.19/8.48 | simplifying with (266), (351) gives:
% 53.19/8.48 | (442) all_28_134 = all_22_6
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_8, all_28_134, e13, e11,
% 53.19/8.48 | simplifying with (181), (351) gives:
% 53.19/8.48 | (443) all_28_134 = all_16_8
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_2, all_28_134, e13, e11,
% 53.19/8.48 | simplifying with (107), (351) gives:
% 53.19/8.48 | (444) all_28_134 = all_12_2
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_10, all_26_27, e10, e12,
% 53.19/8.48 | simplifying with (267), (329) gives:
% 53.19/8.48 | (445) all_26_27 = all_22_10
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_13, all_26_27, e10, e12,
% 53.19/8.48 | simplifying with (108), (329) gives:
% 53.19/8.48 | (446) all_26_27 = all_12_13
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_10, all_28_131, e10, e12,
% 53.19/8.48 | simplifying with (267), (352) gives:
% 53.19/8.48 | (447) all_28_131 = all_22_10
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_7, all_28_131, e10, e12,
% 53.19/8.48 | simplifying with (182), (352) gives:
% 53.19/8.48 | (448) all_28_131 = all_16_7
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_6, all_22_5, e11, e12, simplifying
% 53.19/8.48 | with (183), (268) gives:
% 53.19/8.48 | (449) all_22_5 = all_16_6
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_5, all_26_23, e11, e12,
% 53.19/8.48 | simplifying with (268), (330) gives:
% 53.19/8.48 | (450) all_26_23 = all_22_5
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_23, all_28_128, e11, e12,
% 53.19/8.48 | simplifying with (330), (353) gives:
% 53.19/8.48 | (451) all_28_128 = all_26_23
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_9, all_28_128, e11, e12,
% 53.19/8.48 | simplifying with (109), (353) gives:
% 53.19/8.48 | (452) all_28_128 = all_12_9
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_5, all_22_3, e12, e12, simplifying
% 53.19/8.48 | with (184), (269) gives:
% 53.19/8.48 | (453) all_22_3 = all_16_5
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_28, all_28_125, e12, e12,
% 53.19/8.48 | simplifying with (331), (354) gives:
% 53.19/8.48 | (454) all_28_125 = all_26_28
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_3, all_28_125, e12, e12,
% 53.19/8.48 | simplifying with (269), (354) gives:
% 53.19/8.48 | (455) all_28_125 = all_22_3
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_5, all_28_125, e12, e12,
% 53.19/8.48 | simplifying with (110), (354) gives:
% 53.19/8.48 | (456) all_28_125 = all_12_5
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_4, all_22_2, e13, e12, simplifying
% 53.19/8.48 | with (185), (270) gives:
% 53.19/8.48 | (457) all_22_2 = all_16_4
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_2, all_26_16, e13, e12,
% 53.19/8.48 | simplifying with (270), (332) gives:
% 53.19/8.48 | (458) all_26_16 = all_22_2
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_16, all_28_122, e13, e12,
% 53.19/8.48 | simplifying with (332), (355) gives:
% 53.19/8.48 | (459) all_28_122 = all_26_16
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_1, all_28_122, e13, e12,
% 53.19/8.48 | simplifying with (111), (355) gives:
% 53.19/8.48 | (460) all_28_122 = all_12_1
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_12, all_16_3, e10, e13,
% 53.19/8.48 | simplifying with (112), (186) gives:
% 53.19/8.48 | (461) all_16_3 = all_12_12
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_3, all_22_9, e10, e13, simplifying
% 53.19/8.48 | with (186), (271) gives:
% 53.19/8.48 | (462) all_22_9 = all_16_3
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_25, all_28_119, e10, e13,
% 53.19/8.48 | simplifying with (336), (356) gives:
% 53.19/8.48 | (463) all_28_119 = all_26_25
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_9, all_28_119, e10, e13,
% 53.19/8.48 | simplifying with (271), (356) gives:
% 53.19/8.48 | (464) all_28_119 = all_22_9
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with e12, all_28_119, e10, e13, simplifying
% 53.19/8.48 | with (15), (356) gives:
% 53.19/8.48 | (465) all_28_119 = e12
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_2, all_26_22, e11, e13,
% 53.19/8.48 | simplifying with (187), (337) gives:
% 53.19/8.48 | (466) all_26_22 = all_16_2
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_8, all_26_22, e11, e13,
% 53.19/8.48 | simplifying with (113), (337) gives:
% 53.19/8.48 | (467) all_26_22 = all_12_8
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_22, all_28_116, e11, e13,
% 53.19/8.48 | simplifying with (337), (357) gives:
% 53.19/8.48 | (468) all_28_116 = all_26_22
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_4, all_28_116, e11, e13,
% 53.19/8.48 | simplifying with (272), (357) gives:
% 53.19/8.48 | (469) all_28_116 = all_22_4
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_1, all_22_1, e12, e13, simplifying
% 53.19/8.48 | with (188), (273) gives:
% 53.19/8.48 | (470) all_22_1 = all_16_1
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_1, all_26_19, e12, e13,
% 53.19/8.48 | simplifying with (273), (338) gives:
% 53.19/8.48 | (471) all_26_19 = all_22_1
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_19, all_28_113, e12, e13,
% 53.19/8.48 | simplifying with (338), (358) gives:
% 53.19/8.48 | (472) all_28_113 = all_26_19
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_4, all_28_113, e12, e13,
% 53.19/8.48 | simplifying with (114), (358) gives:
% 53.19/8.48 | (473) all_28_113 = all_12_4
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_12_0, all_16_0, e13, e13, simplifying
% 53.19/8.48 | with (115), (189) gives:
% 53.19/8.48 | (474) all_16_0 = all_12_0
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_16_0, all_22_0, e13, e13, simplifying
% 53.19/8.48 | with (189), (274) gives:
% 53.19/8.48 | (475) all_22_0 = all_16_0
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_22_0, all_26_26, e13, e13,
% 53.19/8.48 | simplifying with (274), (339) gives:
% 53.19/8.48 | (476) all_26_26 = all_22_0
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with all_26_26, all_28_110, e13, e13,
% 53.19/8.48 | simplifying with (339), (359) gives:
% 53.19/8.48 | (477) all_28_110 = all_26_26
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (29) with e11, all_28_110, e13, e13, simplifying
% 53.19/8.48 | with (16), (359) gives:
% 53.19/8.48 | (478) all_28_110 = e11
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with all_18_15, all_20_15, e20, e20,
% 53.19/8.48 | simplifying with (201), (226) gives:
% 53.19/8.48 | (479) all_20_15 = all_18_15
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with e23, all_20_15, e20, e20, simplifying
% 53.19/8.48 | with (17), (226) gives:
% 53.19/8.48 | (480) all_20_15 = e23
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with all_20_15, all_24_31, e20, e20,
% 53.19/8.48 | simplifying with (226), (293) gives:
% 53.19/8.48 | (481) all_24_31 = all_20_15
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with all_14_15, all_24_31, e20, e20,
% 53.19/8.48 | simplifying with (158), (293) gives:
% 53.19/8.48 | (482) all_24_31 = all_14_15
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with all_10_1, all_24_31, e20, e20,
% 53.19/8.48 | simplifying with (47), (293) gives:
% 53.19/8.48 | (483) all_24_31 = all_10_1
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with all_18_14, all_20_14, e21, e20,
% 53.19/8.48 | simplifying with (202), (227) gives:
% 53.19/8.48 | (484) all_20_14 = all_18_14
% 53.19/8.48 |
% 53.19/8.48 | GROUND_INST: instantiating (30) with all_20_14, all_24_24, e21, e20,
% 53.19/8.48 | simplifying with (227), (294) gives:
% 53.19/8.48 | (485) all_24_24 = all_20_14
% 53.19/8.48 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_11, all_24_24, e21, e20,
% 53.19/8.49 | simplifying with (159), (294) gives:
% 53.19/8.49 | (486) all_24_24 = all_14_11
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_13, all_20_13, e22, e20,
% 53.19/8.49 | simplifying with (203), (228) gives:
% 53.19/8.49 | (487) all_20_13 = all_18_13
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_13, all_24_21, e22, e20,
% 53.19/8.49 | simplifying with (228), (295) gives:
% 53.19/8.49 | (488) all_24_21 = all_20_13
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_7, all_24_21, e22, e20,
% 53.19/8.49 | simplifying with (160), (295) gives:
% 53.19/8.49 | (489) all_24_21 = all_14_7
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_12, all_24_18, e23, e20,
% 53.19/8.49 | simplifying with (229), (296) gives:
% 53.19/8.49 | (490) all_24_18 = all_20_12
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_12, all_24_18, e23, e20,
% 53.19/8.49 | simplifying with (204), (296) gives:
% 53.19/8.49 | (491) all_24_18 = all_18_12
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_3, all_24_18, e23, e20,
% 53.19/8.49 | simplifying with (161), (296) gives:
% 53.19/8.49 | (492) all_24_18 = all_14_3
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_11, all_24_29, e20, e21,
% 53.19/8.49 | simplifying with (230), (298) gives:
% 53.19/8.49 | (493) all_24_29 = all_20_11
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_11, all_24_29, e20, e21,
% 53.19/8.49 | simplifying with (205), (298) gives:
% 53.19/8.49 | (494) all_24_29 = all_18_11
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_14, all_24_29, e20, e21,
% 53.19/8.49 | simplifying with (162), (298) gives:
% 53.19/8.49 | (495) all_24_29 = all_14_14
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_10, all_20_8, e21, e21,
% 53.19/8.49 | simplifying with (206), (231) gives:
% 53.19/8.49 | (496) all_20_8 = all_18_10
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_10, all_20_8, e21, e21,
% 53.19/8.49 | simplifying with (163), (231) gives:
% 53.19/8.49 | (497) all_20_8 = all_14_10
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_10, all_24_30, e21, e21,
% 53.19/8.49 | simplifying with (206), (299) gives:
% 53.19/8.49 | (498) all_24_30 = all_18_10
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_4_1, all_24_30, e21, e21, simplifying
% 53.19/8.49 | with (32), (299) gives:
% 53.19/8.49 | (499) all_24_30 = all_4_1
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_7, all_24_20, e22, e21,
% 53.19/8.49 | simplifying with (232), (300) gives:
% 53.19/8.49 | (500) all_24_20 = all_20_7
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_9, all_24_20, e22, e21,
% 53.19/8.49 | simplifying with (207), (300) gives:
% 53.19/8.49 | (501) all_24_20 = all_18_9
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_6, all_24_20, e22, e21,
% 53.19/8.49 | simplifying with (164), (300) gives:
% 53.19/8.49 | (502) all_24_20 = all_14_6
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_6, all_24_17, e23, e21,
% 53.19/8.49 | simplifying with (233), (301) gives:
% 53.19/8.49 | (503) all_24_17 = all_20_6
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_8, all_24_17, e23, e21,
% 53.19/8.49 | simplifying with (208), (301) gives:
% 53.19/8.49 | (504) all_24_17 = all_18_8
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_2, all_24_17, e23, e21,
% 53.19/8.49 | simplifying with (165), (301) gives:
% 53.19/8.49 | (505) all_24_17 = all_14_2
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_10, all_24_27, e20, e22,
% 53.19/8.49 | simplifying with (234), (303) gives:
% 53.19/8.49 | (506) all_24_27 = all_20_10
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_7, all_24_27, e20, e22,
% 53.19/8.49 | simplifying with (209), (303) gives:
% 53.19/8.49 | (507) all_24_27 = all_18_7
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_13, all_24_27, e20, e22,
% 53.19/8.49 | simplifying with (166), (303) gives:
% 53.19/8.49 | (508) all_24_27 = all_14_13
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_6, all_20_5, e21, e22, simplifying
% 53.19/8.49 | with (210), (235) gives:
% 53.19/8.49 | (509) all_20_5 = all_18_6
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_5, all_24_23, e21, e22,
% 53.19/8.49 | simplifying with (235), (304) gives:
% 53.19/8.49 | (510) all_24_23 = all_20_5
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_9, all_24_23, e21, e22,
% 53.19/8.49 | simplifying with (167), (304) gives:
% 53.19/8.49 | (511) all_24_23 = all_14_9
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_3, all_24_28, e22, e22,
% 53.19/8.49 | simplifying with (236), (305) gives:
% 53.19/8.49 | (512) all_24_28 = all_20_3
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_5, all_24_28, e22, e22,
% 53.19/8.49 | simplifying with (211), (305) gives:
% 53.19/8.49 | (513) all_24_28 = all_18_5
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_5, all_24_28, e22, e22,
% 53.19/8.49 | simplifying with (168), (305) gives:
% 53.19/8.49 | (514) all_24_28 = all_14_5
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_6_1, all_24_28, e22, e22, simplifying
% 53.19/8.49 | with (36), (305) gives:
% 53.19/8.49 | (515) all_24_28 = all_6_1
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_4, all_20_2, e23, e22, simplifying
% 53.19/8.49 | with (212), (237) gives:
% 53.19/8.49 | (516) all_20_2 = all_18_4
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_2, all_24_16, e23, e22,
% 53.19/8.49 | simplifying with (237), (306) gives:
% 53.19/8.49 | (517) all_24_16 = all_20_2
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_1, all_24_16, e23, e22,
% 53.19/8.49 | simplifying with (169), (306) gives:
% 53.19/8.49 | (518) all_24_16 = all_14_1
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_12, all_20_9, e20, e23,
% 53.19/8.49 | simplifying with (170), (238) gives:
% 53.19/8.49 | (519) all_20_9 = all_14_12
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with e22, all_20_9, e20, e23, simplifying with
% 53.19/8.49 | (18), (238) gives:
% 53.19/8.49 | (520) all_20_9 = e22
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_9, all_24_25, e20, e23,
% 53.19/8.49 | simplifying with (238), (310) gives:
% 53.19/8.49 | (521) all_24_25 = all_20_9
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_3, all_24_25, e20, e23,
% 53.19/8.49 | simplifying with (213), (310) gives:
% 53.19/8.49 | (522) all_24_25 = all_18_3
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_8, all_20_4, e21, e23, simplifying
% 53.19/8.49 | with (171), (239) gives:
% 53.19/8.49 | (523) all_20_4 = all_14_8
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_4, all_24_22, e21, e23,
% 53.19/8.49 | simplifying with (239), (311) gives:
% 53.19/8.49 | (524) all_24_22 = all_20_4
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_2, all_24_22, e21, e23,
% 53.19/8.49 | simplifying with (214), (311) gives:
% 53.19/8.49 | (525) all_24_22 = all_18_2
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_4, all_20_1, e22, e23, simplifying
% 53.19/8.49 | with (172), (240) gives:
% 53.19/8.49 | (526) all_20_1 = all_14_4
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_1, all_24_19, e22, e23,
% 53.19/8.49 | simplifying with (240), (312) gives:
% 53.19/8.49 | (527) all_24_19 = all_20_1
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_1, all_24_19, e22, e23,
% 53.19/8.49 | simplifying with (215), (312) gives:
% 53.19/8.49 | (528) all_24_19 = all_18_1
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_14_0, all_18_0, e23, e23, simplifying
% 53.19/8.49 | with (173), (216) gives:
% 53.19/8.49 | (529) all_18_0 = all_14_0
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with e21, all_18_0, e23, e23, simplifying with
% 53.19/8.49 | (19), (216) gives:
% 53.19/8.49 | (530) all_18_0 = e21
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_20_0, all_24_26, e23, e23,
% 53.19/8.49 | simplifying with (241), (313) gives:
% 53.19/8.49 | (531) all_24_26 = all_20_0
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_18_0, all_24_26, e23, e23,
% 53.19/8.49 | simplifying with (216), (313) gives:
% 53.19/8.49 | (532) all_24_26 = all_18_0
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (30) with all_8_1, all_24_26, e23, e23, simplifying
% 53.19/8.49 | with (40), (313) gives:
% 53.19/8.49 | (533) all_24_26 = all_8_1
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (25) with e20, all_28_157, e10, simplifying with
% 53.19/8.49 | (50), (385) gives:
% 53.19/8.49 | (534) all_28_157 = e20
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (25) with all_10_2, all_28_153, e11, simplifying
% 53.19/8.49 | with (51), (386) gives:
% 53.19/8.49 | (535) all_28_153 = all_10_2
% 53.19/8.49 |
% 53.19/8.49 | GROUND_INST: instantiating (25) with all_10_0, all_28_149, e12, simplifying
% 53.61/8.49 | with (52), (387) gives:
% 53.61/8.49 | (536) all_28_149 = all_10_0
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (25) with all_10_1, all_28_145, e13, simplifying
% 53.61/8.49 | with (53), (388) gives:
% 53.61/8.49 | (537) all_28_145 = all_10_1
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (26) with e21, all_28_106, e10, simplifying with
% 53.61/8.49 | (33), (405) gives:
% 53.61/8.49 | (538) all_28_106 = e21
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (26) with all_4_1, all_28_97, e13, simplifying with
% 53.61/8.49 | (34), (406) gives:
% 53.61/8.49 | (539) all_28_97 = all_4_1
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (27) with e22, all_28_70, e10, simplifying with
% 53.61/8.49 | (37), (407) gives:
% 53.61/8.49 | (540) all_28_70 = e22
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (27) with all_6_1, all_28_61, e13, simplifying with
% 53.61/8.49 | (38), (408) gives:
% 53.61/8.49 | (541) all_28_61 = all_6_1
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (28) with e23, all_28_34, e10, simplifying with
% 53.61/8.49 | (43), (409) gives:
% 53.61/8.49 | (542) all_28_34 = e23
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (28) with all_8_2, all_28_31, e11, simplifying with
% 53.61/8.49 | (44), (410) gives:
% 53.61/8.49 | (543) all_28_31 = all_8_2
% 53.61/8.49 |
% 53.61/8.49 | GROUND_INST: instantiating (28) with all_8_1, all_28_25, e13, simplifying with
% 53.61/8.49 | (45), (411) gives:
% 53.61/8.49 | (544) all_28_25 = all_8_1
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (477), (478) imply:
% 53.61/8.49 | (545) all_26_26 = e11
% 53.61/8.49 |
% 53.61/8.49 | SIMP: (545) implies:
% 53.61/8.49 | (546) all_26_26 = e11
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (472), (473) imply:
% 53.61/8.49 | (547) all_26_19 = all_12_4
% 53.61/8.49 |
% 53.61/8.49 | SIMP: (547) implies:
% 53.61/8.49 | (548) all_26_19 = all_12_4
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (468), (469) imply:
% 53.61/8.49 | (549) all_26_22 = all_22_4
% 53.61/8.49 |
% 53.61/8.49 | SIMP: (549) implies:
% 53.61/8.49 | (550) all_26_22 = all_22_4
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (463), (465) imply:
% 53.61/8.49 | (551) all_26_25 = e12
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (463), (464) imply:
% 53.61/8.49 | (552) all_26_25 = all_22_9
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (459), (460) imply:
% 53.61/8.49 | (553) all_26_16 = all_12_1
% 53.61/8.49 |
% 53.61/8.49 | SIMP: (553) implies:
% 53.61/8.49 | (554) all_26_16 = all_12_1
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (454), (456) imply:
% 53.61/8.49 | (555) all_26_28 = all_12_5
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (454), (455) imply:
% 53.61/8.49 | (556) all_26_28 = all_22_3
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (451), (452) imply:
% 53.61/8.49 | (557) all_26_23 = all_12_9
% 53.61/8.49 |
% 53.61/8.49 | SIMP: (557) implies:
% 53.61/8.49 | (558) all_26_23 = all_12_9
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (447), (448) imply:
% 53.61/8.49 | (559) all_22_10 = all_16_7
% 53.61/8.49 |
% 53.61/8.49 | SIMP: (559) implies:
% 53.61/8.49 | (560) all_22_10 = all_16_7
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (441), (442) imply:
% 53.61/8.49 | (561) all_26_17 = all_22_6
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (441), (444) imply:
% 53.61/8.49 | (562) all_26_17 = all_12_2
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (441), (443) imply:
% 53.61/8.49 | (563) all_26_17 = all_16_8
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (437), (440) imply:
% 53.61/8.49 | (564) all_26_20 = all_12_6
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (437), (439) imply:
% 53.61/8.49 | (565) all_26_20 = all_16_9
% 53.61/8.49 |
% 53.61/8.49 | COMBINE_EQS: (437), (438) imply:
% 53.61/8.50 | (566) all_26_20 = all_22_7
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (435), (436) imply:
% 53.61/8.50 | (567) all_26_30 = all_22_8
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (567) implies:
% 53.61/8.50 | (568) all_26_30 = all_22_8
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (432), (433) imply:
% 53.61/8.50 | (569) all_26_29 = all_22_11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (569) implies:
% 53.61/8.50 | (570) all_26_29 = all_22_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (428), (429) imply:
% 53.61/8.50 | (571) all_26_18 = all_16_12
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (571) implies:
% 53.61/8.50 | (572) all_26_18 = all_16_12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (424), (425) imply:
% 53.61/8.50 | (573) all_26_21 = all_22_13
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (573) implies:
% 53.61/8.50 | (574) all_26_21 = all_22_13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (418), (421) imply:
% 53.61/8.50 | (575) all_26_24 = all_12_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (418), (420) imply:
% 53.61/8.50 | (576) all_26_24 = all_16_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (418), (419) imply:
% 53.61/8.50 | (577) all_26_24 = all_22_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (414), (415) imply:
% 53.61/8.50 | (578) all_26_31 = all_22_15
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (578) implies:
% 53.61/8.50 | (579) all_26_31 = all_22_15
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (415), (417) imply:
% 53.61/8.50 | (580) all_22_15 = all_12_15
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (415), (416) imply:
% 53.61/8.50 | (581) all_22_15 = all_16_15
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (458), (554) imply:
% 53.61/8.50 | (582) all_22_2 = all_12_1
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (582) implies:
% 53.61/8.50 | (583) all_22_2 = all_12_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (561), (562) imply:
% 53.61/8.50 | (584) all_22_6 = all_12_2
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (561), (563) imply:
% 53.61/8.50 | (585) all_22_6 = all_16_8
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (427), (572) imply:
% 53.61/8.50 | (586) all_22_12 = all_16_12
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (586) implies:
% 53.61/8.50 | (587) all_22_12 = all_16_12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (471), (548) imply:
% 53.61/8.50 | (588) all_22_1 = all_12_4
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (588) implies:
% 53.61/8.50 | (589) all_22_1 = all_12_4
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (564), (566) imply:
% 53.61/8.50 | (590) all_22_7 = all_12_6
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (565), (566) imply:
% 53.61/8.50 | (591) all_22_7 = all_16_9
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (423), (574) imply:
% 53.61/8.50 | (592) all_22_13 = all_12_7
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (422), (574) imply:
% 53.61/8.50 | (593) all_22_13 = all_16_13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (466), (550) imply:
% 53.61/8.50 | (594) all_22_4 = all_16_2
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (467), (550) imply:
% 53.61/8.50 | (595) all_22_4 = all_12_8
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (450), (558) imply:
% 53.61/8.50 | (596) all_22_5 = all_12_9
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (596) implies:
% 53.61/8.50 | (597) all_22_5 = all_12_9
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (575), (577) imply:
% 53.61/8.50 | (598) all_22_14 = all_12_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (576), (577) imply:
% 53.61/8.50 | (599) all_22_14 = all_16_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (551), (552) imply:
% 53.61/8.50 | (600) all_22_9 = e12
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (600) implies:
% 53.61/8.50 | (601) all_22_9 = e12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (476), (546) imply:
% 53.61/8.50 | (602) all_22_0 = e11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (602) implies:
% 53.61/8.50 | (603) all_22_0 = e11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (445), (446) imply:
% 53.61/8.50 | (604) all_22_10 = all_12_13
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (604) implies:
% 53.61/8.50 | (605) all_22_10 = all_12_13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (555), (556) imply:
% 53.61/8.50 | (606) all_22_3 = all_12_5
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (606) implies:
% 53.61/8.50 | (607) all_22_3 = all_12_5
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (430), (570) imply:
% 53.61/8.50 | (608) all_22_11 = all_16_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (431), (570) imply:
% 53.61/8.50 | (609) all_22_11 = all_12_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (434), (568) imply:
% 53.61/8.50 | (610) all_22_8 = all_12_10
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (610) implies:
% 53.61/8.50 | (611) all_22_8 = all_12_10
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (413), (579) imply:
% 53.61/8.50 | (612) all_22_15 = e13
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (612) implies:
% 53.61/8.50 | (613) all_22_15 = e13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (517), (518) imply:
% 53.61/8.50 | (614) all_20_2 = all_14_1
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (614) implies:
% 53.61/8.50 | (615) all_20_2 = all_14_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (503), (505) imply:
% 53.61/8.50 | (616) all_20_6 = all_14_2
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (503), (504) imply:
% 53.61/8.50 | (617) all_20_6 = all_18_8
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (490), (492) imply:
% 53.61/8.50 | (618) all_20_12 = all_14_3
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (490), (491) imply:
% 53.61/8.50 | (619) all_20_12 = all_18_12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (527), (528) imply:
% 53.61/8.50 | (620) all_20_1 = all_18_1
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (620) implies:
% 53.61/8.50 | (621) all_20_1 = all_18_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (500), (502) imply:
% 53.61/8.50 | (622) all_20_7 = all_14_6
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (500), (501) imply:
% 53.61/8.50 | (623) all_20_7 = all_18_9
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (488), (489) imply:
% 53.61/8.50 | (624) all_20_13 = all_14_7
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (624) implies:
% 53.61/8.50 | (625) all_20_13 = all_14_7
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (524), (525) imply:
% 53.61/8.50 | (626) all_20_4 = all_18_2
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (626) implies:
% 53.61/8.50 | (627) all_20_4 = all_18_2
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (510), (511) imply:
% 53.61/8.50 | (628) all_20_5 = all_14_9
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (628) implies:
% 53.61/8.50 | (629) all_20_5 = all_14_9
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (485), (486) imply:
% 53.61/8.50 | (630) all_20_14 = all_14_11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (630) implies:
% 53.61/8.50 | (631) all_20_14 = all_14_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (521), (522) imply:
% 53.61/8.50 | (632) all_20_9 = all_18_3
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (632) implies:
% 53.61/8.50 | (633) all_20_9 = all_18_3
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (531), (533) imply:
% 53.61/8.50 | (634) all_20_0 = all_8_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (531), (532) imply:
% 53.61/8.50 | (635) all_20_0 = all_18_0
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (506), (508) imply:
% 53.61/8.50 | (636) all_20_10 = all_14_13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (506), (507) imply:
% 53.61/8.50 | (637) all_20_10 = all_18_7
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (512), (513) imply:
% 53.61/8.50 | (638) all_20_3 = all_18_5
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (512), (515) imply:
% 53.61/8.50 | (639) all_20_3 = all_6_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (512), (514) imply:
% 53.61/8.50 | (640) all_20_3 = all_14_5
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (493), (495) imply:
% 53.61/8.50 | (641) all_20_11 = all_14_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (493), (494) imply:
% 53.61/8.50 | (642) all_20_11 = all_18_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (498), (499) imply:
% 53.61/8.50 | (643) all_18_10 = all_4_1
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (643) implies:
% 53.61/8.50 | (644) all_18_10 = all_4_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (481), (482) imply:
% 53.61/8.50 | (645) all_20_15 = all_14_15
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (645) implies:
% 53.61/8.50 | (646) all_20_15 = all_14_15
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (482), (483) imply:
% 53.61/8.50 | (647) all_14_15 = all_10_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (475), (603) imply:
% 53.61/8.50 | (648) all_16_0 = e11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (648) implies:
% 53.61/8.50 | (649) all_16_0 = e11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (470), (589) imply:
% 53.61/8.50 | (650) all_16_1 = all_12_4
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (650) implies:
% 53.61/8.50 | (651) all_16_1 = all_12_4
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (457), (583) imply:
% 53.61/8.50 | (652) all_16_4 = all_12_1
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (652) implies:
% 53.61/8.50 | (653) all_16_4 = all_12_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (453), (607) imply:
% 53.61/8.50 | (654) all_16_5 = all_12_5
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (654) implies:
% 53.61/8.50 | (655) all_16_5 = all_12_5
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (594), (595) imply:
% 53.61/8.50 | (656) all_16_2 = all_12_8
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (449), (597) imply:
% 53.61/8.50 | (657) all_16_6 = all_12_9
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (657) implies:
% 53.61/8.50 | (658) all_16_6 = all_12_9
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (584), (585) imply:
% 53.61/8.50 | (659) all_16_8 = all_12_2
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (659) implies:
% 53.61/8.50 | (660) all_16_8 = all_12_2
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (590), (591) imply:
% 53.61/8.50 | (661) all_16_9 = all_12_6
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (661) implies:
% 53.61/8.50 | (662) all_16_9 = all_12_6
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (462), (601) imply:
% 53.61/8.50 | (663) all_16_3 = e12
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (663) implies:
% 53.61/8.50 | (664) all_16_3 = e12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (560), (605) imply:
% 53.61/8.50 | (665) all_16_7 = all_12_13
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (665) implies:
% 53.61/8.50 | (666) all_16_7 = all_12_13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (608), (609) imply:
% 53.61/8.50 | (667) all_16_11 = all_12_14
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (667) implies:
% 53.61/8.50 | (668) all_16_11 = all_12_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (426), (587) imply:
% 53.61/8.50 | (669) all_16_12 = all_12_3
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (592), (593) imply:
% 53.61/8.50 | (670) all_16_13 = all_12_7
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (670) implies:
% 53.61/8.50 | (671) all_16_13 = all_12_7
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (598), (599) imply:
% 53.61/8.50 | (672) all_16_14 = all_12_11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (672) implies:
% 53.61/8.50 | (673) all_16_14 = all_12_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (581), (613) imply:
% 53.61/8.50 | (674) all_16_15 = e13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (580), (581) imply:
% 53.61/8.50 | (675) all_16_15 = all_12_15
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (634), (635) imply:
% 53.61/8.50 | (676) all_18_0 = all_8_1
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (676) implies:
% 53.61/8.50 | (677) all_18_0 = all_8_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (526), (621) imply:
% 53.61/8.50 | (678) all_18_1 = all_14_4
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (678) implies:
% 53.61/8.50 | (679) all_18_1 = all_14_4
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (516), (615) imply:
% 53.61/8.50 | (680) all_18_4 = all_14_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (638), (639) imply:
% 53.61/8.50 | (681) all_18_5 = all_6_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (638), (640) imply:
% 53.61/8.50 | (682) all_18_5 = all_14_5
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (523), (627) imply:
% 53.61/8.50 | (683) all_18_2 = all_14_8
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (509), (629) imply:
% 53.61/8.50 | (684) all_18_6 = all_14_9
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (684) implies:
% 53.61/8.50 | (685) all_18_6 = all_14_9
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (616), (617) imply:
% 53.61/8.50 | (686) all_18_8 = all_14_2
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (686) implies:
% 53.61/8.50 | (687) all_18_8 = all_14_2
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (622), (623) imply:
% 53.61/8.50 | (688) all_18_9 = all_14_6
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (496), (497) imply:
% 53.61/8.50 | (689) all_18_10 = all_14_10
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (689) implies:
% 53.61/8.50 | (690) all_18_10 = all_14_10
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (520), (633) imply:
% 53.61/8.50 | (691) all_18_3 = e22
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (519), (633) imply:
% 53.61/8.50 | (692) all_18_3 = all_14_12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (636), (637) imply:
% 53.61/8.50 | (693) all_18_7 = all_14_13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (641), (642) imply:
% 53.61/8.50 | (694) all_18_11 = all_14_14
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (694) implies:
% 53.61/8.50 | (695) all_18_11 = all_14_14
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (618), (619) imply:
% 53.61/8.50 | (696) all_18_12 = all_14_3
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (696) implies:
% 53.61/8.50 | (697) all_18_12 = all_14_3
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (487), (625) imply:
% 53.61/8.50 | (698) all_18_13 = all_14_7
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (484), (631) imply:
% 53.61/8.50 | (699) all_18_14 = all_14_11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (699) implies:
% 53.61/8.50 | (700) all_18_14 = all_14_11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (479), (646) imply:
% 53.61/8.50 | (701) all_18_15 = all_14_15
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (479), (480) imply:
% 53.61/8.50 | (702) all_18_15 = e23
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (529), (530) imply:
% 53.61/8.50 | (703) all_14_0 = e21
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (529), (677) imply:
% 53.61/8.50 | (704) all_14_0 = all_8_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (691), (692) imply:
% 53.61/8.50 | (705) all_14_12 = e22
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (705) implies:
% 53.61/8.50 | (706) all_14_12 = e22
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (681), (682) imply:
% 53.61/8.50 | (707) all_14_5 = all_6_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (644), (690) imply:
% 53.61/8.50 | (708) all_14_10 = all_4_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (701), (702) imply:
% 53.61/8.50 | (709) all_14_15 = e23
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (709) implies:
% 53.61/8.50 | (710) all_14_15 = e23
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (474), (649) imply:
% 53.61/8.50 | (711) all_12_0 = e11
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (711) implies:
% 53.61/8.50 | (712) all_12_0 = e11
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (461), (664) imply:
% 53.61/8.50 | (713) all_12_12 = e12
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (713) implies:
% 53.61/8.50 | (714) all_12_12 = e12
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (674), (675) imply:
% 53.61/8.50 | (715) all_12_15 = e13
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (703), (704) imply:
% 53.61/8.50 | (716) all_8_1 = e21
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (647), (710) imply:
% 53.61/8.50 | (717) all_10_1 = e23
% 53.61/8.50 |
% 53.61/8.50 | SIMP: (717) implies:
% 53.61/8.50 | (718) all_10_1 = e23
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (497), (708) imply:
% 53.61/8.50 | (719) all_20_8 = all_4_1
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (634), (716) imply:
% 53.61/8.50 | (720) all_20_0 = e21
% 53.61/8.50 |
% 53.61/8.50 | COMBINE_EQS: (482), (710) imply:
% 53.61/8.50 | (721) all_24_31 = e23
% 53.61/8.50 |
% 53.61/8.51 | COMBINE_EQS: (531), (720) imply:
% 53.61/8.51 | (722) all_24_26 = e21
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (522), (691) imply:
% 53.61/8.51 | (723) all_24_25 = e22
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (525), (683) imply:
% 53.61/8.51 | (724) all_24_22 = all_14_8
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (528), (679) imply:
% 53.61/8.51 | (725) all_24_19 = all_14_4
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (572), (669) imply:
% 53.61/8.51 | (726) all_26_18 = all_12_3
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (415), (613) imply:
% 53.61/8.51 | (727) all_28_159 = e13
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (425), (592) imply:
% 53.61/8.51 | (728) all_28_151 = all_12_7
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (429), (669) imply:
% 53.61/8.51 | (729) all_28_147 = all_12_3
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (537), (718) imply:
% 53.61/8.51 | (730) all_28_145 = e23
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (433), (609) imply:
% 53.61/8.51 | (731) all_28_143 = all_12_14
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (436), (611) imply:
% 53.61/8.51 | (732) all_28_140 = all_12_10
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (448), (666) imply:
% 53.61/8.51 | (733) all_28_131 = all_12_13
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (469), (595) imply:
% 53.61/8.51 | (734) all_28_116 = all_12_8
% 53.61/8.51 |
% 53.61/8.51 | COMBINE_EQS: (544), (716) imply:
% 53.61/8.51 | (735) all_28_25 = e21
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (157), (703) imply:
% 53.61/8.51 | (736) ~ (all_14_1 = e21)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (736) implies:
% 53.61/8.51 | (737) ~ (all_14_1 = e21)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (156), (703) imply:
% 53.61/8.51 | (738) ~ (all_14_2 = e21)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (738) implies:
% 53.61/8.51 | (739) ~ (all_14_2 = e21)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (155), (703) imply:
% 53.61/8.51 | (740) ~ (all_14_3 = e21)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (740) implies:
% 53.61/8.51 | (741) ~ (all_14_3 = e21)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (154), (703) imply:
% 53.61/8.51 | (742) ~ (all_14_4 = e21)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (742) implies:
% 53.61/8.51 | (743) ~ (all_14_4 = e21)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (153), (703) imply:
% 53.61/8.51 | (744) ~ (all_14_8 = e21)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (744) implies:
% 53.61/8.51 | (745) ~ (all_14_8 = e21)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (152), (703), (706) imply:
% 53.61/8.51 | (746) ~ (e22 = e21)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (746) implies:
% 53.61/8.51 | (747) ~ (e22 = e21)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (149), (707) imply:
% 53.61/8.51 | (748) ~ (all_14_1 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (145), (708) imply:
% 53.61/8.51 | (749) ~ (all_14_2 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (142), (710) imply:
% 53.61/8.51 | (750) ~ (all_14_3 = e23)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (141), (707) imply:
% 53.61/8.51 | (751) ~ (all_14_4 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (137), (706) imply:
% 53.61/8.51 | (752) ~ (all_14_4 = e22)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (136), (707) imply:
% 53.61/8.51 | (753) ~ (all_14_7 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (753) implies:
% 53.61/8.51 | (754) ~ (all_14_7 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (135), (707) imply:
% 53.61/8.51 | (755) ~ (all_14_9 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (755) implies:
% 53.61/8.51 | (756) ~ (all_14_9 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (134), (707) imply:
% 53.61/8.51 | (757) ~ (all_14_13 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (757) implies:
% 53.61/8.51 | (758) ~ (all_14_13 = all_6_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (132), (708) imply:
% 53.61/8.51 | (759) ~ (all_14_6 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (129), (708) imply:
% 53.61/8.51 | (760) ~ (all_14_8 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (127), (706) imply:
% 53.61/8.51 | (761) ~ (all_14_8 = e22)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (126), (708) imply:
% 53.61/8.51 | (762) ~ (all_14_9 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (124), (708) imply:
% 53.61/8.51 | (763) ~ (all_14_11 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (763) implies:
% 53.61/8.51 | (764) ~ (all_14_11 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (123), (708) imply:
% 53.61/8.51 | (765) ~ (all_14_14 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (765) implies:
% 53.61/8.51 | (766) ~ (all_14_14 = all_4_1)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (122), (706) imply:
% 53.61/8.51 | (767) ~ (all_14_13 = e22)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (767) implies:
% 53.61/8.51 | (768) ~ (all_14_13 = e22)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (121), (706) imply:
% 53.61/8.51 | (769) ~ (all_14_14 = e22)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (769) implies:
% 53.61/8.51 | (770) ~ (all_14_14 = e22)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (120), (706), (710) imply:
% 53.61/8.51 | (771) ~ (e23 = e22)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (771) implies:
% 53.61/8.51 | (772) ~ (e23 = e22)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (118), (710) imply:
% 53.61/8.51 | (773) ~ (all_14_13 = e23)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (117), (710) imply:
% 53.61/8.51 | (774) ~ (all_14_14 = e23)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (99), (712) imply:
% 53.61/8.51 | (775) ~ (all_12_1 = e11)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (775) implies:
% 53.61/8.51 | (776) ~ (all_12_1 = e11)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (98), (712) imply:
% 53.61/8.51 | (777) ~ (all_12_2 = e11)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (777) implies:
% 53.61/8.51 | (778) ~ (all_12_2 = e11)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (97), (712) imply:
% 53.61/8.51 | (779) ~ (all_12_3 = e11)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (779) implies:
% 53.61/8.51 | (780) ~ (all_12_3 = e11)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (96), (712) imply:
% 53.61/8.51 | (781) ~ (all_12_4 = e11)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (781) implies:
% 53.61/8.51 | (782) ~ (all_12_4 = e11)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (95), (712) imply:
% 53.61/8.51 | (783) ~ (all_12_8 = e11)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (783) implies:
% 53.61/8.51 | (784) ~ (all_12_8 = e11)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (94), (712), (714) imply:
% 53.61/8.51 | (785) ~ (e12 = e11)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (785) implies:
% 53.61/8.51 | (786) ~ (e12 = e11)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (83), (715) imply:
% 53.61/8.51 | (787) ~ (all_12_3 = e13)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (78), (714) imply:
% 53.61/8.51 | (788) ~ (all_12_4 = e12)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (69), (715) imply:
% 53.61/8.51 | (789) ~ (all_12_7 = e13)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (65), (714) imply:
% 53.61/8.51 | (790) ~ (all_12_8 = e12)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (61), (715) imply:
% 53.61/8.51 | (791) ~ (all_12_11 = e13)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (60), (714) imply:
% 53.61/8.51 | (792) ~ (all_12_13 = e12)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (792) implies:
% 53.61/8.51 | (793) ~ (all_12_13 = e12)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (59), (714) imply:
% 53.61/8.51 | (794) ~ (all_12_14 = e12)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (794) implies:
% 53.61/8.51 | (795) ~ (all_12_14 = e12)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (58), (714), (715) imply:
% 53.61/8.51 | (796) ~ (e13 = e12)
% 53.61/8.51 |
% 53.61/8.51 | SIMP: (796) implies:
% 53.61/8.51 | (797) ~ (e13 = e12)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (56), (715) imply:
% 53.61/8.51 | (798) ~ (all_12_13 = e13)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (55), (715) imply:
% 53.61/8.51 | (799) ~ (all_12_14 = e13)
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (404), (478) imply:
% 53.61/8.51 | (800) h1(e11) = all_28_109
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (403), (473) imply:
% 53.61/8.51 | (801) h1(all_12_4) = all_28_112
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (402), (734) imply:
% 53.61/8.51 | (802) h1(all_12_8) = all_28_115
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (401), (465) imply:
% 53.61/8.51 | (803) h1(e12) = all_28_118
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (400), (460) imply:
% 53.61/8.51 | (804) h1(all_12_1) = all_28_121
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (399), (456) imply:
% 53.61/8.51 | (805) h1(all_12_5) = all_28_124
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (398), (452) imply:
% 53.61/8.51 | (806) h1(all_12_9) = all_28_127
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (397), (733) imply:
% 53.61/8.51 | (807) h1(all_12_13) = all_28_130
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (396), (444) imply:
% 53.61/8.51 | (808) h1(all_12_2) = all_28_133
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (395), (440) imply:
% 53.61/8.51 | (809) h1(all_12_6) = all_28_136
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (394), (732) imply:
% 53.61/8.51 | (810) h1(all_12_10) = all_28_139
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (393), (731) imply:
% 53.61/8.51 | (811) h1(all_12_14) = all_28_142
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (392), (729) imply:
% 53.61/8.51 | (812) h1(all_12_3) = all_28_146
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (391), (728) imply:
% 53.61/8.51 | (813) h1(all_12_7) = all_28_150
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (390), (421) imply:
% 53.61/8.51 | (814) h1(all_12_11) = all_28_154
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (389), (727) imply:
% 53.61/8.51 | (815) h1(e13) = all_28_158
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (53), (718) imply:
% 53.61/8.51 | (816) h1(e13) = e23
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (384), (735) imply:
% 53.61/8.51 | (817) op2(e21, e21) = all_28_0
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (383), (543), (735) imply:
% 53.61/8.51 | (818) op2(e21, all_8_2) = all_28_4
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (382), (542), (735) imply:
% 53.61/8.51 | (819) op2(e21, e23) = all_28_6
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (381), (542), (735) imply:
% 53.61/8.51 | (820) op2(e23, e21) = all_28_24
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (380), (542) imply:
% 53.61/8.51 | (821) op2(e23, e23) = all_28_33
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (379), (540), (541) imply:
% 53.61/8.51 | (822) op2(e22, all_6_1) = all_28_60
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (378), (540) imply:
% 53.61/8.51 | (823) op2(e22, e22) = all_28_69
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (377), (538), (539) imply:
% 53.61/8.51 | (824) op2(e21, all_4_1) = all_28_96
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (376), (538) imply:
% 53.61/8.51 | (825) op2(e21, e21) = all_28_105
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (375), (730) imply:
% 53.61/8.51 | (826) op2(e23, e23) = all_28_108
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (374), (536), (730) imply:
% 53.61/8.51 | (827) op2(e23, all_10_0) = all_28_111
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (373), (535), (730) imply:
% 53.61/8.51 | (828) op2(e23, all_10_2) = all_28_114
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (372), (534), (730) imply:
% 53.61/8.51 | (829) op2(e23, e20) = all_28_117
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (371), (536), (730) imply:
% 53.61/8.51 | (830) op2(all_10_0, e23) = all_28_120
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (370), (536) imply:
% 53.61/8.51 | (831) op2(all_10_0, all_10_0) = all_28_123
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (369), (535), (536) imply:
% 53.61/8.51 | (832) op2(all_10_0, all_10_2) = all_28_126
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (368), (534), (536) imply:
% 53.61/8.51 | (833) op2(all_10_0, e20) = all_28_129
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (367), (535), (730) imply:
% 53.61/8.51 | (834) op2(all_10_2, e23) = all_28_132
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (366), (535), (536) imply:
% 53.61/8.51 | (835) op2(all_10_2, all_10_0) = all_28_135
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (365), (535) imply:
% 53.61/8.51 | (836) op2(all_10_2, all_10_2) = all_28_138
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (364), (534), (535) imply:
% 53.61/8.51 | (837) op2(all_10_2, e20) = all_28_141
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (363), (534), (730) imply:
% 53.61/8.51 | (838) op2(e20, e23) = all_28_144
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (362), (534), (536) imply:
% 53.61/8.51 | (839) op2(e20, all_10_0) = all_28_148
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (361), (534), (535) imply:
% 53.61/8.51 | (840) op2(e20, all_10_2) = all_28_152
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (360), (534) imply:
% 53.61/8.51 | (841) op2(e20, e20) = all_28_156
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (49), (718) imply:
% 53.61/8.51 | (842) op2(e23, e23) = all_10_2
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (48), (718) imply:
% 53.61/8.51 | (843) op2(e23, e20) = all_10_0
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (42), (716) imply:
% 53.61/8.51 | (844) op2(e21, e21) = all_8_2
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (41), (716) imply:
% 53.61/8.51 | (845) op2(e21, e23) = all_8_0
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (316), (724) imply:
% 53.61/8.51 | (846) op2(e23, all_14_8) = all_24_2
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (315), (723) imply:
% 53.61/8.51 | (847) op2(e23, e22) = all_24_3
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (314), (722) imply:
% 53.61/8.51 | (848) op2(e23, e21) = all_24_0
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (309), (511) imply:
% 53.61/8.51 | (849) op2(e22, all_14_9) = all_24_6
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (308), (508) imply:
% 53.61/8.51 | (850) op2(e22, all_14_13) = all_24_7
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (307), (515) imply:
% 53.61/8.51 | (851) op2(e22, all_6_1) = all_24_5
% 53.61/8.51 |
% 53.61/8.51 | REDUCE: (302), (499) imply:
% 53.61/8.51 | (852) op2(e21, all_4_1) = all_24_10
% 53.61/8.51 |
% 53.61/8.52 | REDUCE: (297), (721) imply:
% 53.61/8.52 | (853) op2(e20, e23) = all_24_15
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (340), (467) imply:
% 53.61/8.52 | (854) op1(e13, all_12_8) = all_26_2
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (335), (558) imply:
% 53.61/8.52 | (855) op1(e12, all_12_9) = all_26_6
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (334), (446) imply:
% 53.61/8.52 | (856) op1(e12, all_12_13) = all_26_7
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (333), (555) imply:
% 53.61/8.52 | (857) op1(e12, all_12_5) = all_26_5
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (324), (413) imply:
% 53.61/8.52 | (858) op1(e10, e13) = all_26_15
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (29) with all_12_3, all_26_15, e13, e10,
% 53.61/8.52 | simplifying with (103), (858) gives:
% 53.61/8.52 | (859) all_26_15 = all_12_3
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with e23, all_28_156, e20, e20, simplifying
% 53.61/8.52 | with (17), (841) gives:
% 53.61/8.52 | (860) all_28_156 = e23
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_3, all_28_144, e23, e20,
% 53.61/8.52 | simplifying with (161), (838) gives:
% 53.61/8.52 | (861) all_28_144 = all_14_3
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_24_15, all_28_144, e23, e20,
% 53.61/8.52 | simplifying with (838), (853) gives:
% 53.61/8.52 | (862) all_28_144 = all_24_15
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_4_1, all_28_105, e21, e21,
% 53.61/8.52 | simplifying with (32), (825) gives:
% 53.61/8.52 | (863) all_28_105 = all_4_1
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_28_105, all_28_0, e21, e21,
% 53.61/8.52 | simplifying with (817), (825) gives:
% 53.61/8.52 | (864) all_28_0 = all_28_105
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_8_2, all_28_0, e21, e21, simplifying
% 53.61/8.52 | with (817), (844) gives:
% 53.61/8.52 | (865) all_28_0 = all_8_2
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_2, all_28_6, e23, e21, simplifying
% 53.61/8.52 | with (165), (819) gives:
% 53.61/8.52 | (866) all_28_6 = all_14_2
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_8_0, all_28_6, e23, e21, simplifying
% 53.61/8.52 | with (819), (845) gives:
% 53.61/8.52 | (867) all_28_6 = all_8_0
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_24_10, all_28_96, all_4_1, e21,
% 53.61/8.52 | simplifying with (824), (852) gives:
% 53.61/8.52 | (868) all_28_96 = all_24_10
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_6_1, all_28_69, e22, e22, simplifying
% 53.61/8.52 | with (36), (823) gives:
% 53.61/8.52 | (869) all_28_69 = all_6_1
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_24_5, all_28_60, all_6_1, e22,
% 53.61/8.52 | simplifying with (822), (851) gives:
% 53.61/8.52 | (870) all_28_60 = all_24_5
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with e22, all_28_117, e20, e23, simplifying
% 53.61/8.52 | with (18), (829) gives:
% 53.61/8.52 | (871) all_28_117 = e22
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_10_0, all_28_117, e20, e23,
% 53.61/8.52 | simplifying with (829), (843) gives:
% 53.61/8.52 | (872) all_28_117 = all_10_0
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_8, all_28_24, e21, e23,
% 53.61/8.52 | simplifying with (171), (820) gives:
% 53.61/8.52 | (873) all_28_24 = all_14_8
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_24_0, all_28_24, e21, e23,
% 53.61/8.52 | simplifying with (820), (848) gives:
% 53.61/8.52 | (874) all_28_24 = all_24_0
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_4, all_24_3, e22, e23, simplifying
% 53.61/8.52 | with (172), (847) gives:
% 53.61/8.52 | (875) all_24_3 = all_14_4
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with e21, all_28_108, e23, e23, simplifying
% 53.61/8.52 | with (19), (826) gives:
% 53.61/8.52 | (876) all_28_108 = e21
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_28_108, all_28_33, e23, e23,
% 53.61/8.52 | simplifying with (821), (826) gives:
% 53.61/8.52 | (877) all_28_33 = all_28_108
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_10_2, all_28_33, e23, e23,
% 53.61/8.52 | simplifying with (821), (842) gives:
% 53.61/8.52 | (878) all_28_33 = all_10_2
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (25) with all_10_2, all_28_109, e11, simplifying
% 53.61/8.52 | with (51), (800) gives:
% 53.61/8.52 | (879) all_28_109 = all_10_2
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (25) with all_10_0, all_28_118, e12, simplifying
% 53.61/8.52 | with (52), (803) gives:
% 53.61/8.52 | (880) all_28_118 = all_10_0
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (25) with e23, all_28_158, e13, simplifying with
% 53.61/8.52 | (815), (816) gives:
% 53.61/8.52 | (881) all_28_158 = e23
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (864), (865) imply:
% 53.61/8.52 | (882) all_28_105 = all_8_2
% 53.61/8.52 |
% 53.61/8.52 | SIMP: (882) implies:
% 53.61/8.52 | (883) all_28_105 = all_8_2
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (866), (867) imply:
% 53.61/8.52 | (884) all_14_2 = all_8_0
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (873), (874) imply:
% 53.61/8.52 | (885) all_24_0 = all_14_8
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (877), (878) imply:
% 53.61/8.52 | (886) all_28_108 = all_10_2
% 53.61/8.52 |
% 53.61/8.52 | SIMP: (886) implies:
% 53.61/8.52 | (887) all_28_108 = all_10_2
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (863), (883) imply:
% 53.61/8.52 | (888) all_8_2 = all_4_1
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (876), (887) imply:
% 53.61/8.52 | (889) all_10_2 = e21
% 53.61/8.52 |
% 53.61/8.52 | SIMP: (889) implies:
% 53.61/8.52 | (890) all_10_2 = e21
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (871), (872) imply:
% 53.61/8.52 | (891) all_10_0 = e22
% 53.61/8.52 |
% 53.61/8.52 | SIMP: (891) implies:
% 53.61/8.52 | (892) all_10_0 = e22
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (861), (862) imply:
% 53.61/8.52 | (893) all_24_15 = all_14_3
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (616), (884) imply:
% 53.61/8.52 | (894) all_20_6 = all_8_0
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (505), (884) imply:
% 53.61/8.52 | (895) all_24_17 = all_8_0
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (535), (890) imply:
% 53.61/8.52 | (896) all_28_153 = e21
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (536), (892) imply:
% 53.61/8.52 | (897) all_28_149 = e22
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (880), (892) imply:
% 53.61/8.52 | (898) all_28_118 = e22
% 53.61/8.52 |
% 53.61/8.52 | COMBINE_EQS: (879), (890) imply:
% 53.61/8.52 | (899) all_28_109 = e21
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (151), (884) imply:
% 53.61/8.52 | (900) ~ (all_14_1 = all_8_0)
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (147), (884) imply:
% 53.61/8.52 | (901) ~ (all_14_3 = all_8_0)
% 53.61/8.52 |
% 53.61/8.52 | SIMP: (901) implies:
% 53.61/8.52 | (902) ~ (all_14_3 = all_8_0)
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (146), (884) imply:
% 53.61/8.52 | (903) ~ (all_14_6 = all_8_0)
% 53.61/8.52 |
% 53.61/8.52 | SIMP: (903) implies:
% 53.61/8.52 | (904) ~ (all_14_6 = all_8_0)
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (749), (884) imply:
% 53.61/8.52 | (905) ~ (all_8_0 = all_4_1)
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (739), (884) imply:
% 53.61/8.52 | (906) ~ (all_8_0 = e21)
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (52), (892) imply:
% 53.61/8.52 | (907) h1(e12) = e22
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (51), (890) imply:
% 53.61/8.52 | (908) h1(e11) = e21
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (831), (892) imply:
% 53.61/8.52 | (909) op2(e22, e22) = all_28_123
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (832), (890), (892) imply:
% 53.61/8.52 | (910) op2(e22, e21) = all_28_126
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (830), (892) imply:
% 53.61/8.52 | (911) op2(e22, e23) = all_28_120
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (833), (892) imply:
% 53.61/8.52 | (912) op2(e22, e20) = all_28_129
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (835), (890), (892) imply:
% 53.61/8.52 | (913) op2(e21, e22) = all_28_135
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (836), (890) imply:
% 53.61/8.52 | (914) op2(e21, e21) = all_28_138
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (834), (890) imply:
% 53.61/8.52 | (915) op2(e21, e23) = all_28_132
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (837), (890) imply:
% 53.61/8.52 | (916) op2(e21, e20) = all_28_141
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (827), (892) imply:
% 53.61/8.52 | (917) op2(e23, e22) = all_28_111
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (828), (890) imply:
% 53.61/8.52 | (918) op2(e23, e21) = all_28_114
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (818), (888) imply:
% 53.61/8.52 | (919) op2(e21, all_4_1) = all_28_4
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (839), (892) imply:
% 53.61/8.52 | (920) op2(e20, e22) = all_28_148
% 53.61/8.52 |
% 53.61/8.52 | REDUCE: (840), (890) imply:
% 53.61/8.52 | (921) op2(e20, e21) = all_28_152
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_11, all_28_152, e21, e20,
% 53.61/8.52 | simplifying with (159), (921) gives:
% 53.61/8.52 | (922) all_28_152 = all_14_11
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_7, all_28_148, e22, e20,
% 53.61/8.52 | simplifying with (160), (920) gives:
% 53.61/8.52 | (923) all_28_148 = all_14_7
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_14, all_28_141, e20, e21,
% 53.61/8.52 | simplifying with (162), (916) gives:
% 53.61/8.52 | (924) all_28_141 = all_14_14
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_4_1, all_28_138, e21, e21,
% 53.61/8.52 | simplifying with (32), (914) gives:
% 53.61/8.52 | (925) all_28_138 = all_4_1
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_6, all_28_135, e22, e21,
% 53.61/8.52 | simplifying with (164), (913) gives:
% 53.61/8.52 | (926) all_28_135 = all_14_6
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_8_0, all_28_132, e23, e21,
% 53.61/8.52 | simplifying with (845), (915) gives:
% 53.61/8.52 | (927) all_28_132 = all_8_0
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_24_10, all_28_4, all_4_1, e21,
% 53.61/8.52 | simplifying with (852), (919) gives:
% 53.61/8.52 | (928) all_28_4 = all_24_10
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_13, all_28_129, e20, e22,
% 53.61/8.52 | simplifying with (166), (912) gives:
% 53.61/8.52 | (929) all_28_129 = all_14_13
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_9, all_28_126, e21, e22,
% 53.61/8.52 | simplifying with (167), (910) gives:
% 53.61/8.52 | (930) all_28_126 = all_14_9
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_6_1, all_28_123, e22, e22,
% 53.61/8.52 | simplifying with (36), (909) gives:
% 53.61/8.52 | (931) all_28_123 = all_6_1
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_1, all_28_120, e23, e22,
% 53.61/8.52 | simplifying with (169), (911) gives:
% 53.61/8.52 | (932) all_28_120 = all_14_1
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_8, all_28_114, e21, e23,
% 53.61/8.52 | simplifying with (171), (918) gives:
% 53.61/8.52 | (933) all_28_114 = all_14_8
% 53.61/8.52 |
% 53.61/8.52 | GROUND_INST: instantiating (30) with all_14_4, all_28_111, e22, e23,
% 53.61/8.52 | simplifying with (172), (917) gives:
% 53.61/8.52 | (934) all_28_111 = all_14_4
% 53.61/8.52 |
% 53.61/8.52 | BETA: splitting (195) gives:
% 53.61/8.52 |
% 53.61/8.52 | Case 1:
% 53.61/8.52 | |
% 53.61/8.52 | | (935) all_16_7 = e13
% 53.61/8.52 | |
% 53.61/8.52 | | COMBINE_EQS: (666), (935) imply:
% 53.61/8.52 | | (936) all_12_13 = e13
% 53.61/8.52 | |
% 53.61/8.52 | | REDUCE: (798), (936) imply:
% 53.61/8.52 | | (937) $false
% 53.61/8.52 | |
% 53.61/8.52 | | CLOSE: (937) is inconsistent.
% 53.61/8.52 | |
% 53.61/8.52 | Case 2:
% 53.61/8.52 | |
% 53.61/8.52 | | (938) ~ (all_16_7 = e13)
% 53.61/8.52 | | (939) all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 53.61/8.52 | |
% 53.61/8.52 | | BETA: splitting (199) gives:
% 53.61/8.52 | |
% 53.61/8.52 | | Case 1:
% 53.61/8.52 | | |
% 53.61/8.52 | | | (940) all_16_1 = e13
% 53.61/8.52 | | |
% 53.61/8.52 | | | COMBINE_EQS: (651), (940) imply:
% 53.61/8.52 | | | (941) all_12_4 = e13
% 53.61/8.52 | | |
% 53.61/8.52 | | | COMBINE_EQS: (589), (941) imply:
% 53.61/8.52 | | | (942) all_22_1 = e13
% 53.61/8.52 | | |
% 53.61/8.52 | | | REDUCE: (82), (941) imply:
% 53.61/8.52 | | | (943) ~ (all_12_5 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | SIMP: (943) implies:
% 53.61/8.52 | | | (944) ~ (all_12_5 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | REDUCE: (81), (941) imply:
% 53.61/8.52 | | | (945) ~ (all_12_6 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | SIMP: (945) implies:
% 53.61/8.52 | | | (946) ~ (all_12_6 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | REDUCE: (80), (941) imply:
% 53.61/8.52 | | | (947) ~ (all_12_7 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | REDUCE: (79), (941) imply:
% 53.61/8.52 | | | (948) ~ (all_12_8 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | SIMP: (948) implies:
% 53.61/8.52 | | | (949) ~ (all_12_8 = e13)
% 53.61/8.52 | | |
% 53.61/8.52 | | | REDUCE: (801), (941) imply:
% 53.61/8.52 | | | (950) h1(e13) = all_28_112
% 53.61/8.52 | | |
% 53.61/8.52 | | | BETA: splitting (288) gives:
% 53.61/8.52 | | |
% 53.61/8.52 | | | Case 1:
% 53.61/8.52 | | | |
% 53.61/8.52 | | | | (951) all_22_0 = e10
% 53.61/8.52 | | | |
% 53.61/8.53 | | | | REF_CLOSE: (7), (603), (951) are inconsistent by sub-proof #108.
% 53.61/8.53 | | | |
% 53.61/8.53 | | | Case 2:
% 53.61/8.53 | | | |
% 53.61/8.53 | | | | (952) all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10
% 53.61/8.53 | | | |
% 53.61/8.53 | | | | BETA: splitting (952) gives:
% 53.61/8.53 | | | |
% 53.61/8.53 | | | | Case 1:
% 53.61/8.53 | | | | |
% 53.61/8.53 | | | | | (953) all_22_1 = e10
% 53.61/8.53 | | | | |
% 53.61/8.53 | | | | | REF_CLOSE: (9), (942), (953) are inconsistent by sub-proof #107.
% 53.61/8.53 | | | | |
% 53.61/8.53 | | | | Case 2:
% 53.61/8.53 | | | | |
% 53.61/8.53 | | | | | (954) all_22_4 = e10 | all_22_9 = e10
% 53.61/8.53 | | | | |
% 53.61/8.53 | | | | | BETA: splitting (954) gives:
% 53.61/8.53 | | | | |
% 53.61/8.53 | | | | | Case 1:
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | (955) all_22_4 = e10
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | COMBINE_EQS: (595), (955) imply:
% 53.61/8.53 | | | | | | (956) all_12_8 = e10
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | SIMP: (956) implies:
% 53.61/8.53 | | | | | | (957) all_12_8 = e10
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | COMBINE_EQS: (467), (957) imply:
% 53.61/8.53 | | | | | | (958) all_26_22 = e10
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (68), (957) imply:
% 53.61/8.53 | | | | | | (959) ~ (all_12_9 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | SIMP: (959) implies:
% 53.61/8.53 | | | | | | (960) ~ (all_12_9 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (67), (957) imply:
% 53.61/8.53 | | | | | | (961) ~ (all_12_10 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | SIMP: (961) implies:
% 53.61/8.53 | | | | | | (962) ~ (all_12_10 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (66), (957) imply:
% 53.61/8.53 | | | | | | (963) ~ (all_12_11 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | SIMP: (963) implies:
% 53.61/8.53 | | | | | | (964) ~ (all_12_11 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (949), (957) imply:
% 53.61/8.53 | | | | | | (965) ~ (e13 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (790), (957) imply:
% 53.61/8.53 | | | | | | (966) ~ (e12 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (784), (957) imply:
% 53.61/8.53 | | | | | | (967) ~ (e11 = e10)
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (802), (957) imply:
% 53.61/8.53 | | | | | | (968) h1(e10) = all_28_115
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | REDUCE: (854), (957) imply:
% 53.61/8.53 | | | | | | (969) op1(e13, e10) = all_26_2
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | GROUND_INST: instantiating (29) with e12, all_26_2, e10, e13,
% 53.61/8.53 | | | | | | simplifying with (15), (969) gives:
% 53.61/8.53 | | | | | | (970) all_26_2 = e12
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | GROUND_INST: instantiating (25) with e20, all_28_115, e10,
% 53.61/8.53 | | | | | | simplifying with (50), (968) gives:
% 53.61/8.53 | | | | | | (971) all_28_115 = e20
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | GROUND_INST: instantiating (25) with e23, all_28_112, e13,
% 53.61/8.53 | | | | | | simplifying with (816), (950) gives:
% 53.61/8.53 | | | | | | (972) all_28_112 = e23
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | BETA: splitting (192) gives:
% 53.61/8.53 | | | | | |
% 53.61/8.53 | | | | | | Case 1:
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | (973) all_16_11 = e13
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | COMBINE_EQS: (668), (973) imply:
% 53.61/8.53 | | | | | | | (974) all_12_14 = e13
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | REDUCE: (799), (974) imply:
% 53.61/8.53 | | | | | | | (975) $false
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | CLOSE: (975) is inconsistent.
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | Case 2:
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | (976) ~ (all_16_11 = e13)
% 53.61/8.53 | | | | | | | (977) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | BETA: splitting (190) gives:
% 53.61/8.53 | | | | | | |
% 53.61/8.53 | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | (978) all_16_14 = e13
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | COMBINE_EQS: (673), (978) imply:
% 53.61/8.53 | | | | | | | | (979) all_12_11 = e13
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | SIMP: (979) implies:
% 53.61/8.53 | | | | | | | | (980) all_12_11 = e13
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | REDUCE: (791), (980) imply:
% 53.61/8.53 | | | | | | | | (981) $false
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | CLOSE: (981) is inconsistent.
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | (982) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | BETA: splitting (224) gives:
% 53.61/8.53 | | | | | | | |
% 53.61/8.53 | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | (983) all_18_1 = e23
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | COMBINE_EQS: (679), (983) imply:
% 53.61/8.53 | | | | | | | | | (984) all_14_4 = e23
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | COMBINE_EQS: (526), (984) imply:
% 53.61/8.53 | | | | | | | | | (985) all_20_1 = e23
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | COMBINE_EQS: (875), (984) imply:
% 53.61/8.53 | | | | | | | | | (986) all_24_3 = e23
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | COMBINE_EQS: (934), (984) imply:
% 53.61/8.53 | | | | | | | | | (987) all_28_111 = e23
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | REDUCE: (140), (984) imply:
% 53.61/8.53 | | | | | | | | | (988) ~ (all_14_6 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | SIMP: (988) implies:
% 53.61/8.53 | | | | | | | | | (989) ~ (all_14_6 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | REDUCE: (139), (984) imply:
% 53.61/8.53 | | | | | | | | | (990) ~ (all_14_7 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | SIMP: (990) implies:
% 53.61/8.53 | | | | | | | | | (991) ~ (all_14_7 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | REDUCE: (138), (984) imply:
% 53.61/8.53 | | | | | | | | | (992) ~ (all_14_8 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | SIMP: (992) implies:
% 53.61/8.53 | | | | | | | | | (993) ~ (all_14_8 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | REDUCE: (751), (984) imply:
% 53.61/8.53 | | | | | | | | | (994) ~ (all_6_1 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | SIMP: (994) implies:
% 53.61/8.53 | | | | | | | | | (995) ~ (all_6_1 = e23)
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | BETA: splitting (223) gives:
% 53.61/8.53 | | | | | | | | |
% 53.61/8.53 | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | (996) all_18_2 = e23
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | COMBINE_EQS: (683), (996) imply:
% 53.61/8.53 | | | | | | | | | | (997) all_14_8 = e23
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | REDUCE: (993), (997) imply:
% 53.61/8.53 | | | | | | | | | | (998) $false
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | CLOSE: (998) is inconsistent.
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | (999) ~ (all_18_2 = e23)
% 53.61/8.53 | | | | | | | | | | (1000) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | BETA: splitting (1000) gives:
% 53.61/8.53 | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | (1001) all_18_2 = e20
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | COMBINE_EQS: (683), (1001) imply:
% 53.61/8.53 | | | | | | | | | | | (1002) all_14_8 = e20
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | COMBINE_EQS: (523), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1003) all_20_4 = e20
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | COMBINE_EQS: (724), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1004) all_24_22 = e20
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | COMBINE_EQS: (933), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1005) all_28_114 = e20
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (130), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1006) ~ (all_14_9 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | SIMP: (1006) implies:
% 53.61/8.53 | | | | | | | | | | | (1007) ~ (all_14_9 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (128), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1008) ~ (all_14_11 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | SIMP: (1008) implies:
% 53.61/8.53 | | | | | | | | | | | (1009) ~ (all_14_11 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (760), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1010) ~ (all_4_1 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | SIMP: (1010) implies:
% 53.61/8.53 | | | | | | | | | | | (1011) ~ (all_4_1 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (993), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1012) ~ (e23 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | SIMP: (1012) implies:
% 53.61/8.53 | | | | | | | | | | | (1013) ~ (e23 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (761), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1014) ~ (e22 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | SIMP: (1014) implies:
% 53.61/8.53 | | | | | | | | | | | (1015) ~ (e22 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (745), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1016) ~ (e21 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | SIMP: (1016) implies:
% 53.61/8.53 | | | | | | | | | | | (1017) ~ (e21 = e20)
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | REDUCE: (846), (1002) imply:
% 53.61/8.53 | | | | | | | | | | | (1018) op2(e23, e20) = all_24_2
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | GROUND_INST: instantiating (30) with e22, all_24_2, e20, e23,
% 53.61/8.53 | | | | | | | | | | | simplifying with (18), (1018) gives:
% 53.61/8.53 | | | | | | | | | | | (1019) all_24_2 = e22
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | BETA: splitting (220) gives:
% 53.61/8.53 | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | (1020) all_18_7 = e23
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | COMBINE_EQS: (693), (1020) imply:
% 53.61/8.53 | | | | | | | | | | | | (1021) all_14_13 = e23
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | REDUCE: (773), (1021) imply:
% 53.61/8.53 | | | | | | | | | | | | (1022) $false
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | CLOSE: (1022) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | (1023) ~ (all_18_7 = e23)
% 53.61/8.53 | | | | | | | | | | | | (1024) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | BETA: splitting (218) gives:
% 53.61/8.53 | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | (1025) all_18_11 = e23
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | COMBINE_EQS: (695), (1025) imply:
% 53.61/8.53 | | | | | | | | | | | | | (1026) all_14_14 = e23
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | REDUCE: (774), (1026) imply:
% 53.61/8.53 | | | | | | | | | | | | | (1027) $false
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | CLOSE: (1027) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | (1028) ~ (all_18_11 = e23)
% 53.61/8.53 | | | | | | | | | | | | | (1029) all_18_11 = e22 | all_18_11 = e21 | all_18_11 =
% 53.61/8.53 | | | | | | | | | | | | | e20
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | BETA: splitting (196) gives:
% 53.61/8.53 | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | (1030) all_16_5 = e13
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | COMBINE_EQS: (655), (1030) imply:
% 53.61/8.53 | | | | | | | | | | | | | | (1031) all_12_5 = e13
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | SIMP: (1031) implies:
% 53.61/8.53 | | | | | | | | | | | | | | (1032) all_12_5 = e13
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | REDUCE: (944), (1032) imply:
% 53.61/8.53 | | | | | | | | | | | | | | (1033) $false
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | CLOSE: (1033) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | (1034) ~ (all_16_5 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | (1035) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 53.61/8.53 | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | (1036) all_16_4 = e13
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | COMBINE_EQS: (653), (1036) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | (1037) all_12_1 = e13
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | SIMP: (1037) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | (1038) all_12_1 = e13
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1038) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | (1039) all_22_2 = e13
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1038) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | (1040) all_26_16 = e13
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | REDUCE: (93), (1038) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | (1041) ~ (all_12_2 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | SIMP: (1041) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | (1042) ~ (all_12_2 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | REDUCE: (92), (1038) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | (1043) ~ (all_12_3 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | REDUCE: (90), (1038) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | (1044) ~ (all_12_13 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 53.61/8.53 | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | (1045) all_22_6 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | REF_CLOSE: (584), (1042), (1045) are inconsistent by
% 53.61/8.53 | | | | | | | | | | | | | | | | sub-proof #106.
% 53.61/8.53 | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | (1046) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 53.61/8.53 | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | (1047) all_22_7 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (1047) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | (1048) all_12_6 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | SIMP: (1048) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | | | (1049) all_12_6 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | REDUCE: (946), (1049) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | (1050) $false
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | CLOSE: (1050) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | (1051) all_22_8 = e13 | all_22_11 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | BETA: splitting (1051) gives:
% 53.61/8.53 | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | (1052) all_22_8 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (1052) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | (1053) all_12_10 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | SIMP: (1053) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | (1054) all_12_10 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1054) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | (1055) all_26_30 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | REDUCE: (62), (1054) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | (1056) ~ (all_12_14 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 53.61/8.53 | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | (1057) all_16_8 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1057) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | (1058) all_12_2 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | SIMP: (1058) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | (1059) all_12_2 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1059) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | (1060) $false
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | CLOSE: (1060) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | (1061) ~ (all_16_8 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | (1062) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | (1063) all_16_9 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1063) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | (1064) all_12_6 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | SIMP: (1064) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | (1065) all_12_6 = e13
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (946), (1065) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | (1066) $false
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | CLOSE: (1066) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | (1067) ~ (all_16_9 = e13)
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | (1068) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | (1069) all_22_12 = e11
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (1069) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | (1070) all_12_3 = e11
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (1070) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | (1071) all_12_3 = e11
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (1071) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | (1072) $false
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1072) is inconsistent.
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | (1073) ~ (all_22_12 = e11)
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | (1074) all_22_13 = e11 | all_22_14 = e11 | all_22_15 =
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | e11
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | (1075) all_22_6 = e12
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1075) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | (1076) all_12_2 = e12
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1076) implies:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | (1077) all_12_2 = e12
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1077) imply:
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | | (1078) all_26_17 = e12
% 53.61/8.53 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (1077) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | (1079) ~ (all_12_6 = e12)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1079) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | (1080) ~ (all_12_6 = e12)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | (1081) all_22_2 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1039), (1081) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | (1082) e13 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | (1083) e13 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1083) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | (1084) $false
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1084) is inconsistent.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | (1085) ~ (all_22_2 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | (1086) all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | (1087) all_22_2 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1039), (1087) are inconsistent by sub-proof
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | #105.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | (1088) ~ (all_22_2 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | (1090) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_3 = e10 & ( ~ (all_26_28 = e13) |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_16 = e12) & ( ~ (all_26_30 = e13) |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_17 = e11) & ( ~ (all_26_31 = e13) |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e10)) | (all_26_4 = e13 & all_26_5
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12) | all_26_19 = e13) & ( ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12) | all_26_20 = e11) & ( ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12) | all_26_21 = e10))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1090) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_3 = e10 & ( ~ (all_26_28 = e13) | all_26_16
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_26_30 = e13) | all_26_17 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ( ~ (all_26_31 = e13) | all_26_18 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1091) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_26_2 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (970), (1092) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) e12 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1093) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) e12 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1094) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) $false
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1095) is inconsistent.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_7 = e10 & ( ~ (all_26_26 = e12) | all_26_19
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_26_30 = e12) | all_26_20 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ( ~ (all_26_31 = e12) | all_26_21 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_26_7 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_26_5 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (1098) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) op1(e12, all_12_5) = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1097) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) op1(e12, all_12_13) = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (939) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_16_7 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (1101) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_12_13 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1102) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) all_12_13 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1103) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_22_10 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1103) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_26_27 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1103) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) ~ (all_12_5 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (546), (555), (786), (797), (944), (1040),
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055), (1078), (1107) are inconsistent by
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1108) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (958), (1111) are inconsistent by sub-proof
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_26_31 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_26_22 = e13
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (1115) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) e13 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (413), (1114), (1116) are inconsistent by
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1117) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_26_23 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) ~ (all_26_28 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (1118) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) all_12_9 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1120) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_22_5 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1119) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) ~ (all_12_5 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (607), (786), (1089), (1104), (1121), (1122)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (413), (575), (964), (1123) are inconsistent
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #88.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (546), (551), (797), (1055), (1125) are
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_26_26 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (1128) are inconsistent by sub-proof
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 =
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) &
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10))
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1129) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1130) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_26_27 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1105), (1131) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) e12 = e10
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1132) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) $false
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1133) is inconsistent.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (555), (1106), (1134) are inconsistent by
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) ~ (all_16_7 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_16_7 = e12 | all_16_7 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (1135) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) ~ (all_12_13 = e10)
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1136) gives:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_16_7 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (1138) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_12_13 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1139) implies:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_12_13 = e12
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1140) imply:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) $false
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1141) is inconsistent.
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_16_7 = e11
% 53.61/8.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (1142) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_12_13 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1143) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) all_12_13 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1144) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_22_10 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1144) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_26_27 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1144) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_12_14 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1147) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_12_14 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1144) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) ~ (e13 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1100), (1144) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) op1(e12, e11) = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1144) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) op1(e12, e10) = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12))
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (546), (555), (786), (797), (944), (1040),
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055), (1078), (1152) are inconsistent by
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1153) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1154) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11))
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1155) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (958), (1156) are inconsistent by sub-proof
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11))
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1157) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1158) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) all_26_31 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_26_22 = e13
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (958), (1160) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) e13 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (413), (1159), (1161) are inconsistent by
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_26_23 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) ~ (all_26_28 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (1163) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_12_9 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1165) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_22_5 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1164) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) ~ (all_12_5 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1165) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (all_12_5 = e12)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1165) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) ~ (all_12_11 = e12)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1169) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) ~ (all_12_11 = e12)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1165) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) op1(e12, e11) = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) all_16_5 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1172) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) all_12_5 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1173) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_12_5 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (1174) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) ~ (all_12_6 = e10)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1175) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) ~ (all_12_6 = e10)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1174) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) op1(e12, e10) = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1068) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_16_9 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1178) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_12_6 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1179) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_12_6 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1176), (1180) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) $false
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1181) is inconsistent.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_16_9 = e12 | all_16_9 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1182) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_16_9 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1183) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_12_6 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1184) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_12_6 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1080), (1185) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) $false
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1186) is inconsistent.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_16_9 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1187) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_12_6 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1188) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_12_6 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1189) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) ~ (all_12_7 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1190) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) ~ (all_12_7 = e11)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1074) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_22_13 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (1192) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_12_7 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1193) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_12_7 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1191), (1194) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) $false
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1195) is inconsistent.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_22_14 = e11 | all_22_15 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_22_14 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (1197) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_12_11 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1198) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_12_11 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e11, e12, e10, e12,
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1151), (1177) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) e12 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e10, e12, e11, e12,
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1150), (1171) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) e12 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1200), (1201) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) e11 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1145), (1202) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_22_10 = e10
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (607), (786), (1089), (1166), (1167), (1203)
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_22_15 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1204) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) e13 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) e13 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1206) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) $false
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1207) is inconsistent.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_16_5 = e12 | all_16_5 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1208) gives:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_16_5 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1209) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_12_5 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_12_5 = e12
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1168), (1211) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) $false
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1212) is inconsistent.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_16_5 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1213) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_12_5 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1214) implies:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_12_5 = e11
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1167), (1215) imply:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) $false
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1216) is inconsistent.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 =
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (413), (575), (964), (1217) are inconsistent
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #88.
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (546), (551), (797), (1055), (1219) are
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1221) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_26_26 = e10
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (1222) are inconsistent by sub-proof
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1223) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1224) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_26_27 = e12
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1146), (1225) imply:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) e12 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1226) imply:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) $false
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1227) is inconsistent.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1228) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_26_29 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1229) imply:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_12_14 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1230) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_12_14 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1148), (1231) imply:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) $false
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1232) is inconsistent.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1233) (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_26 = e11) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e13) & ( ~ (all_26_28 = e11) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12) & ( ~ (all_26_31 = e11) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24 = e10)) | (all_26_12 = e13 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_13 = e12 & all_26_14 = e11 & all_26_15 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | e10 & ( ~ (all_26_26 = e10) | all_26_25 = e13) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_28 = e10) | all_26_27 = e12) & ( ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10) | all_26_29 = e11))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_26 = e11) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e13) & ( ~ (all_26_28 = e11) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12) & ( ~ (all_26_31 = e11) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_24 = e10)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (546), (958), (1234) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_26_12 = e13 & all_26_13 = e12 & all_26_14 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_15 = e10 & ( ~ (all_26_26 = e10) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_25 = e13) & ( ~ (all_26_28 = e10) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12) & ( ~ (all_26_30 = e10) |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1235) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) ~ (all_26_28 = e10) | all_26_27 = e12
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1236) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) ~ (all_26_28 = e10)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1237) imply:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) ~ (all_12_5 = e10)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1086) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_22_3 = e10
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (1238), (1239) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) ~ (all_22_3 = e10)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_22_5 = e10 | all_22_10 = e10
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1244) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1245) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_26_16 = e12
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (797), (1040), (1246) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)) | (all_26_17 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e13))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1247) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1248) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_26_16 = e12
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (797), (1040), (1249) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e13)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1250) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_26_17 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (786), (1078), (1251) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)) | (all_26_18 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e13 & ~ (all_26_16 = e12) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1252) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1253) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_26_17 = e11
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (786), (1078), (1254) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)) | (all_26_18 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (555), (944), (1255) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #101.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (546), (786), (797), (1055), (1256) are
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1257) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1258) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1259) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (958), (1260) are inconsistent by sub-proof
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11))
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1261) gives:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (413), (958), (1262) are inconsistent by
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e11)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_26_23 = e12
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) ~ (all_26_28 = e11)
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (1264) imply:
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_12_9 = e12
% 53.61/8.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1266) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_22_5 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1265) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_12_5 = e11)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1241) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_22_5 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1267), (1269) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) e12 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1270) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) e12 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1271) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) $false
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1272) is inconsistent.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_22_10 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (607), (786), (1089), (1267), (1268), (1273)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1274) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1275) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_26_31 = e11
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (413), (1276) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #74.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (575), (964), (1277) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #73.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1279) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (797), (1280) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #72.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1281) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1282) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_26_30 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_26_25 = e13
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1284) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) e13 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1285) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) e13 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1055), (1283) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) e13 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1286), (1287) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #86.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (1288) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (1290) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #70.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 =
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) &
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10))
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1291) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1292) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_26_30 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1055), (1293) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) e13 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1294) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) e13 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1295) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) $false
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1296) is inconsistent.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (555), (1238), (1297) are inconsistent by
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_26_27 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (793), (1298) are inconsistent by sub-proof
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | (1299) ~ (all_22_6 = e12)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (1299) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | (1300) ~ (all_12_2 = e12)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | (1301) all_22_0 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (1301) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | (1302) e12 = e11
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1302) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | (1303) $false
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1303) is inconsistent.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | (1304) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1062) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_16_8 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1305) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_12_2 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1306) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_12_2 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1307) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_22_6 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1307) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_26_17 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1307) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1310) ~ (all_12_3 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1310) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1311) ~ (all_12_3 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (1307) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1312) ~ (all_12_14 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1312) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | (1313) ~ (all_12_14 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (977) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_16_11 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1314) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_12_14 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1315) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_12_14 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1313), (1316) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1317) $false
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1317) is inconsistent.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_16_11 = e12 | all_16_11 = e11
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1304) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_22_2 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (797), (1039), (1319) are inconsistent by
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_22_6 = e12 | all_22_12 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1318) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_16_11 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1321) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_12_14 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1322) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_12_14 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1323) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) $false
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1324) is inconsistent.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_16_11 = e11
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1325) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_12_14 = e11
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1326) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_12_14 = e11
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1327) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) ~ (all_12_13 = e11)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (1327) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) ~ (e13 = e11)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (939) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_16_7 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (1330) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_12_13 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1331) implies:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_12_13 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1332) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_22_10 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1332) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_26_27 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1332) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_12_5 = e10)
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1320) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_22_6 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1308), (1336) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) e12 = e10
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1337) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) $false
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1338) is inconsistent.
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_22_12 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (1339) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_12_3 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (1340) imply:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_26_18 = e12
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1342) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (797), (1040), (1309), (1341), (1343)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #66.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (546), (786), (797), (1055), (1344) are
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1346) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1347) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (958), (1348) are inconsistent by sub-proof
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1349) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (413), (958), (1350) are inconsistent by
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e11)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1351) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_26_23 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (10), (283), (341), (413), (546),
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551), (555), (558), (575), (597), (607), (786),
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797), (958), (964), (1039), (1040), (1055),
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1333), (1334), (1335), (1341), (1352) are
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1354) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_26_23 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (10), (283), (341), (413), (546),
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551), (555), (558), (575), (597), (607), (786),
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797), (958), (964), (1039), (1040), (1055),
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1333), (1334), (1335), (1341), (1355) are
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (575), (964), (1356) are inconsistent by sub-proof
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #73.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (797), (1359) are inconsistent by sub-proof
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #72.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1361) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_26_30 = e10
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_26_25 = e13
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1363) imply:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) e13 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1364) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) e13 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1055), (1362) imply:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) e13 = e10
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1366) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) e13 = e10
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1365), (1367) are inconsistent by sub-proof
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e10)
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (1368) are inconsistent by sub-proof
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 =
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10))
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (546), (555), (1334), (1335), (1369) are
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_16_7 = e12 | all_16_7 = e11
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (666), (793), (1328), (1370) are inconsistent by
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_16_8 = e12 | all_16_8 = e11
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_16_8 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1372) imply:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_12_2 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1373) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_12_2 = e12
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1300), (1374) imply:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1375) $false
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1375) is inconsistent.
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_16_8 = e11
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1376) imply:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_12_2 = e11
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1377) implies:
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_12_2 = e11
% 53.61/8.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1378) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1379) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1379) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | (1380) all_22_11 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (1380) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | (1381) all_12_14 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | SIMP: (1381) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | (1382) all_12_14 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | REDUCE: (799), (1382) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | (1383) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | CLOSE: (1383) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | (1384) ~ (all_16_4 = e13)
% 53.61/8.59 | | | | | | | | | | | | | | | (1385) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 53.61/8.59 | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | REDUCE: (653), (1384) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | (1386) ~ (all_12_1 = e13)
% 53.61/8.59 | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 53.61/8.59 | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | (1387) all_22_2 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1386), (1387) are inconsistent by
% 53.61/8.59 | | | | | | | | | | | | | | | | sub-proof #60.
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | (1388) ~ (all_22_2 = e13)
% 53.61/8.59 | | | | | | | | | | | | | | | | (1389) all_22_3 = e13 | all_22_5 = e13 | all_22_10 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | (1390) all_22_0 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (1390) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | (1391) e13 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | REDUCE: (10), (1391) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | (1392) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | CLOSE: (1392) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | (1393) all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | BETA: splitting (1393) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | (1394) all_22_2 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1386), (1394) are inconsistent by
% 53.61/8.59 | | | | | | | | | | | | | | | | | | sub-proof #60.
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | (1395) all_22_6 = e13 | all_22_12 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | BETA: splitting (1395) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | (1396) all_22_6 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1396) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | (1397) all_12_2 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | SIMP: (1397) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | (1398) all_12_2 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1398) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | (1399) ~ (all_12_3 = e13)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1398) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | (1400) h1(e13) = all_28_133
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (1389) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | (1401) all_22_3 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (944), (1401) are inconsistent by sub-proof
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | #59.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | (1402) all_22_5 = e13 | all_22_10 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | (1403) all_22_4 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (955), (1403) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | (1404) e13 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1404) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | (1405) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1405) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | (1406) all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1406) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1407) all_22_5 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (1407) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1408) all_12_9 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1408) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1409) all_12_9 = e13
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1409) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1410) h1(e13) = all_28_127
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (1409) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1411) op1(e12, e13) = all_26_6
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_1, all_26_6, e13,
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (111), (1411) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1412) all_26_6 = all_12_1
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with e23, all_28_127, e13,
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | simplifying with (816), (1410) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1413) all_28_127 = e23
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_133, all_28_127,
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | e13, simplifying with (1400), (1410) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1414) all_28_127 = all_28_133
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1413), (1414) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | (1415) all_28_133 = e23
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | (1416) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | & all_26_3 = e10 & ( ~ (all_26_28 = e13) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_16 = e12) & ( ~ (all_26_30 = e13) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_17 = e11) & ( ~ (all_26_31 = e13) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_18 = e10)) | (all_26_4 = e13 & all_26_5
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12) | all_26_19 = e13) & ( ~
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12) | all_26_20 = e11) & ( ~
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12) | all_26_21 = e10))
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1416) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 &
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_3 = e10 & ( ~ (all_26_28 = e13) | all_26_16
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_26_30 = e13) | all_26_17 =
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ( ~ (all_26_31 = e13) | all_26_18 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1417) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_26_2 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (970), (1418) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1419) e12 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1419) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1420) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1420) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 &
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_7 = e10 & ( ~ (all_26_26 = e12) | all_26_19
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_26_30 = e12) | all_26_20 =
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ( ~ (all_26_31 = e12) | all_26_21 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1421) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_26_6 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1412), (1422) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_12_1 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1423) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1424) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1424) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | (1425) (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_26 = e11) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e13) & ( ~ (all_26_28 = e11) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12) & ( ~ (all_26_31 = e11) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_24 = e10)) | (all_26_12 = e13 &
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | all_26_13 = e12 & all_26_14 = e11 & all_26_15 =
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | e10 & ( ~ (all_26_26 = e10) | all_26_25 = e13) &
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_28 = e10) | all_26_27 = e12) & ( ~
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10) | all_26_29 = e11))
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_26 = e11) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_22 = e13) & ( ~ (all_26_28 = e11) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_23 = e12) & ( ~ (all_26_31 = e11) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_24 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (546), (958), (1426) are inconsistent by
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_26_12 = e13 & all_26_13 = e12 & all_26_14 =
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_15 = e10 & ( ~ (all_26_26 = e10) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_25 = e13) & ( ~ (all_26_28 = e10) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12) & ( ~ (all_26_30 = e10) |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1427) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_26_15 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1429) ~ (all_26_28 = e10) | all_26_27 = e12
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (859), (1428) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_12_3 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1430) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1431) ~ (all_12_1 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1430) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1432) ~ (all_12_7 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1432) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1433) ~ (all_12_7 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (1430) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | (1434) h1(e10) = all_28_146
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1385) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_16_4 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (1435) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_12_1 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1436) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_12_1 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1431), (1437) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1438) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1438) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (all_16_4 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_16_4 = e12 | all_16_4 = e11
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1440) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_16_4 = e12
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (1441) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_12_1 = e12
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1442) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_12_1 = e12
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1443) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) ~ (all_12_5 = e12)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1444) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) ~ (all_12_5 = e12)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1443) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) h1(e12) = all_28_121
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) ~ (all_26_28 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1447) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) ~ (all_12_5 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_22_1 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (942), (1449) are inconsistent by sub-proof
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #107.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_22_3 = e10 | all_22_7 = e10 | all_22_13 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_22_3 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (1448), (1451) are inconsistent by
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_22_7 = e10 | all_22_13 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1452) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_22_7 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (1453) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_12_6 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1454) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_12_6 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (1455) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (all_12_14 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1456) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (all_12_14 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (1455) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) h1(e10) = all_28_136
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_22_15 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1459) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) e13 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1460) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1461) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 =
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e10)
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1462) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1463) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_22_9 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (1464) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) e12 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1465) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1466) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_22_10 = e10 | all_22_11 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1467) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_22_10 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1468) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_12_13 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1469) implies:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_12_13 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (1470) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) h1(e10) = all_28_130
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_16_5 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1472) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_12_5 = e10
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1448), (1473) imply:
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) $false
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1474) is inconsistent.
% 53.61/8.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) ~ (all_16_5 = e10)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_16_5 = e12 | all_16_5 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1476) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_16_5 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1477) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_12_5 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1445), (1478) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1479) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_16_5 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1480) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_12_5 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1481) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) ~ (all_12_7 = e11)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1482) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) ~ (all_12_7 = e11)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (944), (1481) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) ~ (e13 = e11)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1481) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) h1(e11) = all_28_124
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_16_13 = e13
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1486) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_12_7 = e13
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1487) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_12_7 = e13
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1488) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1489) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) ~ (all_16_13 = e13)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_22_9 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (1492) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) e12 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1493) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) e12 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (1494) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1495) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_22_10 = e11 | all_22_11 = e11 | all_22_15 =
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1496) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_22_10 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1468), (1497) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) e11 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1498) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1499) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_22_11 = e11 | all_22_15 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_16_13 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1501) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_12_7 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1502) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_12_7 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1433), (1503) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1504) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) ~ (all_16_13 = e10)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_16_13 = e12 | all_16_13 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1506) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_16_13 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1507) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_12_7 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1508) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_12_7 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1509) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) ~ (all_12_11 = e12)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1510) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) ~ (all_12_11 = e12)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1509) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) h1(e12) = all_28_150
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1500) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_22_11 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (1513) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_12_14 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1514) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_12_14 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1515) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) h1(e11) = all_28_142
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_22_4 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (955), (1517) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) e12 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1518) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1519) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_22_5 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1407), (1521) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) e13 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1522) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1523) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_22_8 = e12 | all_22_14 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_22_8 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (1525) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_12_10 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (1526) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) h1(e12) = all_28_139
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (982) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_16_14 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1528) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_12_11 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1529) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_12_11 = e10
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (964), (1530) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1531) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) all_16_14 = e12 | all_16_14 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_16_14 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1533) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_12_11 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1534) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_12_11 = e12
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1511), (1535) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1536) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_16_14 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1537) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_12_11 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1538) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_12_11 = e11
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (1539) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) h1(e11) = all_28_154
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_146, all_28_136,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10, simplifying with (1434), (1458) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_28_136 = all_28_146
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with e20, all_28_130, e10,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (1471) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_28_130 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_136, all_28_130,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10, simplifying with (1458), (1471) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_28_130 = all_28_136
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with e21, all_28_124, e11,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (908), (1485) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_28_124 = e21
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_142, all_28_124,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (1485), (1516) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_28_124 = all_28_142
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_154, all_28_124,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (1485), (1540) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_28_124 = all_28_154
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with e22, all_28_121, e12,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (907), (1446) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_28_121 = e22
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_139, all_28_121,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (1446), (1527) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_28_121 = all_28_139
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_28_150, all_28_121,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (1446), (1512) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_28_121 = all_28_150
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1548), (1549) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_28_139 = all_28_150
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1547), (1548) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_28_139 = e22
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1544), (1545) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_28_142 = e21
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (1546) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_28_142 = all_28_154
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1542), (1543) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_28_136 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1554) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_28_136 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1541), (1555) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_28_146 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1556) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_28_146 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1550), (1551) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_28_150 = e22
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1552), (1553) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_28_154 = e21
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1559) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_28_154 = e21
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_20_0 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1561) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) e23 = e21
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1562) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) $false
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1563) is inconsistent.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_20_6 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1565) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_8_0 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1566) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_8_0 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (895), (1567) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_24_17 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (1567) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_28_132 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (1567) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) ~ (all_14_1 = e23)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_20_2 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (615), (1570), (1571) are inconsistent by
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_20_4 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1003), (1573) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) e23 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1574) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_20_1 = e20
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (993),
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013), (1575) are inconsistent by sub-proof #57.
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1576) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_20_5 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1577) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_14_9 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1578) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_14_9 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1579) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_24_23 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (930), (1579) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_28_126 = e23
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (1579) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) ~ (all_4_1 = e23)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1582) implies:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) ~ (all_4_1 = e23)
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (1579) imply:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) op2(e22, e23) = all_24_6
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_1, all_24_6, e23,
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (169), (1584) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_24_6 = all_14_1
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_3 = e20 & ( ~ (all_24_28 = e23) |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_16 = e22) & ( ~ (all_24_30 = e23) |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_17 = e21) & ( ~ (all_24_31 = e23) |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_18 = e20)) | (all_24_4 = e23 & all_24_5
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22) | all_24_19 = e23) & ( ~
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22) | all_24_20 = e21) & ( ~
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22) | all_24_21 = e20))
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1586) gives:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 &
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_3 = e20 & ( ~ (all_24_28 = e23) | all_24_16
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_24_30 = e23) | all_24_17 =
% 53.61/8.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ( ~ (all_24_31 = e23) | all_24_18 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1587) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_24_3 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (986), (1588) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) e23 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (1589) are inconsistent by
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_7 = e20 & ( ~ (all_24_26 = e22) | all_24_19
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_24_30 = e22) | all_24_20 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ( ~ (all_24_31 = e22) | all_24_21 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1590) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_24_6 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1585), (1591) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_14_1 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1592) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_14_1 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (1593) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) $false
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1594) is inconsistent.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_26 = e21) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_22 = e23) & ( ~ (all_24_28 = e21) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23 = e22) & ( ~ (all_24_31 = e21) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24 = e20)) | (all_24_12 = e23 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_13 = e22 & all_24_14 = e21 & all_24_15 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & ( ~ (all_24_26 = e20) | all_24_25 = e23) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_28 = e20) | all_24_27 = e22) & ( ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20) | all_24_29 = e21))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1595) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_26 = e21) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_22 = e23) & ( ~ (all_24_28 = e21) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23 = e22) & ( ~ (all_24_31 = e21) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1596) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) ~ (all_24_26 = e21) | all_24_22 = e23
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1597) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) ~ (all_24_26 = e21)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (1598) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) $false
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1599) is inconsistent.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_24_22 = e23
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1600) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) e23 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1601) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_20_1 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (993),
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013), (1602) are inconsistent by sub-proof #57.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_24_12 = e23 & all_24_13 = e22 & all_24_14 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_15 = e20 & ( ~ (all_24_26 = e20) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_25 = e23) & ( ~ (all_24_28 = e20) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22) & ( ~ (all_24_30 = e20) |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_24_15 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) ~ (all_24_28 = e20) | all_24_27 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (893), (1604) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_14_3 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1606) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_14_3 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (1607) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_24_18 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (861), (1607) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_28_144 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1607) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) ~ (all_14_1 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1607) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) ~ (all_14_7 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1611) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) ~ (all_14_7 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_18_4 = e23
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1613) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_14_1 = e23
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1614) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_14_1 = e23
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1570), (1615) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) $false
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1616) is inconsistent.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) ~ (all_18_4 = e23)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1605) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) ~ (all_24_28 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1619) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) ~ (all_6_1 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_20_1 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (993),
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013), (1621) are inconsistent by sub-proof #57.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_20_1 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1626) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1627) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_24_30 = e23
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (1583), (1628) are inconsistent by
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)) | (all_24_17 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e23))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1630) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) ~ (all_24_18 = e20)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1608), (1631) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) $false
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1632) is inconsistent.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e23)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1633) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_24_17 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1568), (1634) are inconsistent by sub-proof
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1635) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1636) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_24_17 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1568), (1637) are inconsistent by sub-proof
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (515), (995), (1583), (1638) are
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1639) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22))
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1641) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_24_30 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) ~ (all_24_26 = e22)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1642) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_4_1 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1644) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_4_1 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (1645) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_20_8 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (925), (1645) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_28_138 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (1645) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) ~ (all_14_6 = e22)
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_20_0 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1649) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) e22 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1650) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) e22 = e21
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1651) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) $false
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1652) is inconsistent.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_20_2 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (1654) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_14_1 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1655) implies:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_14_1 = e20
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1610), (1656) imply:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) $false
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1657) is inconsistent.
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) ~ (all_20_2 = e20)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_18_4 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1660) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_14_1 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1610), (1661) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1662) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (all_18_4 = e20)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_18_4 = e22 | all_18_4 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_20_2 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (1665) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_14_1 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1666) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_14_1 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1667) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) ~ (all_6_1 = e22)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1668) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) ~ (all_6_1 = e22)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_18_5 = e23
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1670) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_6_1 = e23
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1671) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1672) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) ~ (all_18_5 = e23)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_20_1 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1675) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) e23 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1676) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) e23 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1677) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1678) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_20_1 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1680) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) e23 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1681) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) e23 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1682) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1683) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_20_3 = e21 | all_20_7 = e21 | all_20_13 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_20_3 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (1685) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_6_1 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1686) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_6_1 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1687) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) ~ (e23 = e21)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_20_3 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1685), (1689) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) e22 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1690) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1691) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_20_7 = e22 | all_20_13 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1692) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_20_7 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1693) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_14_6 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1694) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_14_6 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1648), (1695) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1696) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_20_13 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (1697) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_14_7 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_14_7 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (923), (1699) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_28_148 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_18_9 = e23
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1701) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_14_6 = e23
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1702) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_14_6 = e23
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (989), (1703) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1704) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) ~ (all_18_9 = e23)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (932), (1667) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_28_120 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_20_4 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1003), (1708) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) e21 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1709) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1710) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1711) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_20_5 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1577), (1712) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) e23 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1713) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) e23 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1714) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1715) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_20_8 = e21 | all_20_14 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1716) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_20_8 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1646), (1717) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) e22 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1718) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) e22 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1719) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_20_14 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (631), (1721) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_14_11 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1722) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_14_11 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (922), (1723) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_28_152 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_18_5 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1725) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_6_1 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1620), (1726) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1727) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_18_5 = e20)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_18_5 = e22 | all_18_5 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_20_3 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (639), (1620), (1730) are inconsistent by
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) ~ (all_20_3 = e20)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_20_5 = e20 | all_20_10 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1623) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_20_3 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (639), (1620), (1733) are inconsistent by
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_20_7 = e20 | all_20_13 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_18_9 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1735) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_14_6 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (926), (1736) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_28_135 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_18_5 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1738) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_6_1 = e22
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1669), (1739) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1740) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_18_5 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (931), (1687) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_28_123 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_20_5 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1577), (1743) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) e23 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (1744) are inconsistent by
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_20_10 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (1745) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_14_13 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1746) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_14_13 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (929), (1747) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_28_129 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1747) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (all_14_14 = e20)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1749) implies:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) ~ (all_14_14 = e20)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_18_11 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1751) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_14_14 = e20
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1750), (1752) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1753) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_18_11 = e22 | all_18_11 = e21
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_28_108 = all_28_109)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (899), (1755) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1756) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) ~ (all_28_111 = all_28_112) | ~ (all_28_114 =
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_120 = all_28_121) | ~ (all_28_123 =
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_124) | ~ (all_28_126 = all_28_127) | ~
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_129 = all_28_130) | ~ (all_28_132 =
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 =
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 =
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | (
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1757) gives:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) ~ (all_28_111 = all_28_112)
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (972), (987), (1758) imply:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) $false
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1759) is inconsistent.
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_28_114 = all_28_115) | ~ (all_28_117 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_118) | ~ (all_28_120 = all_28_121) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_123 = all_28_124) | ~ (all_28_126 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_132 = all_28_133) | ~ (all_28_135 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1760) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_28_114 = all_28_115)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (971), (1005), (1761) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1762) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) ~ (all_28_117 = all_28_118) | ~ (all_28_120 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_126 = all_28_127) | ~ (all_28_129 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_130) | ~ (all_28_132 = all_28_133) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_135 = all_28_136) | ~ (all_28_138 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1754) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_18_11 = e22
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1764) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_14_14 = e22
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1765) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_18_11 = e21
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1767) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_14_14 = e21
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (924), (1768) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_28_141 = e21
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) ~ (all_28_117 = all_28_118)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (898), (1770) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1771) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) ~ (all_28_120 = all_28_121) | ~ (all_28_123 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_124) | ~ (all_28_126 = all_28_127) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_129 = all_28_130) | ~ (all_28_132 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1772) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) ~ (all_28_120 = all_28_121)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1547), (1707), (1773) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1774) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_28_123 = all_28_124) | ~ (all_28_126 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_132 = all_28_133) | ~ (all_28_135 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1775) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) ~ (all_28_123 = all_28_124)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1544), (1742), (1776) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1777) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) ~ (all_28_126 = all_28_127) | ~ (all_28_129 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_130) | ~ (all_28_132 = all_28_133) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_135 = all_28_136) | ~ (all_28_138 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) ~ (all_28_126 = all_28_127)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1413), (1581), (1779) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1780) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) ~ (all_28_129 = all_28_130) | ~ (all_28_132 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1781) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_28_129 = all_28_130)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1542), (1748), (1782) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1783) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) ~ (all_28_132 = all_28_133) | ~ (all_28_135 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) ~ (all_28_132 = all_28_133)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1415), (1569), (1785) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1786) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_28_135 = all_28_136) | ~ (all_28_138 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1787) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) ~ (all_28_135 = all_28_136)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1555), (1737), (1788) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1789) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) ~ (all_28_138 = all_28_139) | ~ (all_28_141 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1790) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) ~ (all_28_138 = all_28_139)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1551), (1647), (1791) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1792) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) ~ (all_28_141 = all_28_142) | ~ (all_28_144 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) ~ (all_28_141 = all_28_142)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1552), (1769), (1794) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1795) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) ~ (all_28_144 = all_28_146) | ~ (all_28_148 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1796) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_28_144 = all_28_146)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1557), (1609), (1797) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1798) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) ~ (all_28_148 = all_28_150) | ~ (all_28_152 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1799) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) ~ (all_28_148 = all_28_150)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1558), (1700), (1800) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1801) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) ~ (all_28_152 = all_28_154) | ~ (all_28_156 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1802) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) ~ (all_28_152 = all_28_154)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1560), (1724), (1803) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1804) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) ~ (all_28_156 = all_28_158) | ( ~ (all_28_145 =
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_28_149 = e23) & ~ (all_28_153
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_28_157 = e23)) | ( ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e22) & ~ (all_28_149 = e22) & ~
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e22) & ~ (all_28_157 = e22)) | (
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1805) gives:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) ~ (all_28_156 = all_28_158)
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (881), (1806) imply:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) $false
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1807) is inconsistent.
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) ( ~ (all_28_145 = e23) & ~ (all_28_149 = e23) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e23) & ~ (all_28_157 = e23)) |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1808) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ( ~ (all_28_145 = e23) & ~ (all_28_149 = e23) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e23) & ~ (all_28_157 = e23)) |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e22) & ~ (all_28_149 = e22) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22))
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1809) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) ~ (all_28_145 = e23) & ~ (all_28_149 = e23) & ~
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1810) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_28_145 = e23)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (1811) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) $false
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1812) is inconsistent.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & ~
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e22) & ~ (all_28_157 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1813) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) ~ (all_28_149 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (1814) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) $false
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1815) is inconsistent.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20))
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1816) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1817) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_28_153 = e21)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (896), (1818) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) $false
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1819) is inconsistent.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & ~
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e20) & ~ (all_28_157 = e20)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1820) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) ~ (all_28_157 = e20)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (1821) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) $false
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1822) is inconsistent.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) ~ (all_18_9 = e20)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (1823) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) ~ (all_14_6 = e20)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1734) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_20_7 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (622), (1824), (1825) are inconsistent by
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_20_13 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1697), (1826) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) e22 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1827) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) e22 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (1828) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) $false
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1829) is inconsistent.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_20_2 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (1830) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_14_1 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_18_4 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1832) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_14_1 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1610), (1833) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) $false
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1834) is inconsistent.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (680), (737), (1664), (1831) are inconsistent by
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) ~ (all_20_3 = e21)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (1835) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) ~ (all_6_1 = e21)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (1620), (1669), (1674), (1836) are
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) ~ (all_20_2 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (1837) imply:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) ~ (all_14_1 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (680), (737), (1664), (1838) are inconsistent by
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e22)) | (all_24_20 =
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_26 = e22 & ~ (all_24_19 = e23) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22))
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (722), (747), (772), (1839) are
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)) | (all_24_21 =
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e22 & ~ (all_24_19 = e23) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1841) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_24_31 = e22
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (772), (1842) are inconsistent by sub-proof
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #46.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22)) | (all_24_21 =
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) &
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22))
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1843) gives:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (747), (1844) are inconsistent by sub-proof
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #43.
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e22)
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1845) implies:
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_24_21 = e20
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (1846) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_14_7 = e20
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1847) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_14_7 = e20
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1612), (1848) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) $false
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1849) is inconsistent.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1850) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1851) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1853) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_24_22 = e23
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1004), (1013), (1854) are inconsistent by
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1855) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1856) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_24_22 = e23
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1004), (1013), (1857) are inconsistent by
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1858) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_24_23 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1580), (1859) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) e23 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1860) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) e23 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1861) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) $false
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1862) is inconsistent.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1863) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1864) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_24_31 = e21
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_24_23 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1580), (1866) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) e23 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1867) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) e23 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (1865) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) e23 = e21
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1869) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) e23 = e21
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1868), (1870) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) e22 = e21
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1871) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) e22 = e21
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1872) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) $false
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1873) is inconsistent.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1009), (1874) are inconsistent by
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1875) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (723), (772), (1017), (1876) are
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1877) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (1878) are inconsistent by
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1879) gives:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1880) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_24_30 = e20
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1881) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_4_1 = e20
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1882) implies:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_4_1 = e20
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1011), (1883) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) $false
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1884) is inconsistent.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (1620), (1885) are inconsistent by
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_24_27 = e22
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (768), (1886) are inconsistent by sub-proof
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) ~ (all_20_5 = e23)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (1887) imply:
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) ~ (all_14_9 = e23)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (636), (639), (773), (995), (1572), (1888)
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #33.
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) ~ (all_20_6 = e23)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (894), (1889) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) ~ (all_8_0 = e23)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_20_2 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (1892) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_14_1 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1893) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_14_1 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (1894) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_24_16 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1894) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) ~ (all_14_3 = e23)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1890) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_20_7 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1897) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_14_6 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1898) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_14_6 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (989), (1899) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1900) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_20_8 = e23 | all_20_11 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1901) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_20_8 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (1902) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_4_1 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1903) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_4_1 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1904) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_24_30 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1904) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) ~ (all_14_11 = e23)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (852), (1904) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) op2(e21, e23) = all_24_10
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_8_0, all_24_10, e23,
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (845), (1907) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_24_10 = all_8_0
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_20_0 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (1909) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) e22 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1910) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1911) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_20_0 = e22)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_18_5 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1914) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_6_1 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1915) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1916) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) ~ (all_18_5 = e23)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_20_12 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (618), (1919) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_14_3 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1920) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_14_3 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (1921) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1922) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) ~ (all_20_12 = e21)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_20_13 = e21 | all_20_14 = e21 | all_20_15 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_20_2 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1892), (1925) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) e23 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1926) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) e23 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1927) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1928) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) ~ (all_20_2 = e22)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_20_6 = e22 | all_20_12 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_20_6 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1931) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_8_0 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1932) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_8_0 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (895), (1933) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_24_17 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1908), (1933) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_24_10 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_3 = e20 & ( ~ (all_24_28 = e23) |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_16 = e22) & ( ~ (all_24_30 = e23) |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_17 = e21) & ( ~ (all_24_31 = e23) |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_18 = e20)) | (all_24_4 = e23 & all_24_5
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22) | all_24_19 = e23) & ( ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22) | all_24_20 = e21) & ( ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22) | all_24_21 = e20))
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_3 = e20 & ( ~ (all_24_28 = e23) | all_24_16
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_24_30 = e23) | all_24_17 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ( ~ (all_24_31 = e23) | all_24_18 = e20)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1937) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_24_2 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1019), (1938) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) e22 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1939) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) e22 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1940) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1941) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_7 = e20 & ( ~ (all_24_26 = e22) | all_24_19
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_24_30 = e22) | all_24_20 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ( ~ (all_24_31 = e22) | all_24_21 = e20)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1942) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_24_7 = e20
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_24_5 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (850), (1943) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) op2(e22, all_14_13) = e20
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1944) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) op2(e22, all_6_1) = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (721), (722), (747), (772), (995), (1895),
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905), (1934), (1947) are inconsistent by
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1949) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1951) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_24_22 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1952) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) e23 = e20
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1953) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) $false
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1954) is inconsistent.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1955) gives:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1956) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_24_31 = e21
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_24_22 = e23
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1958) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) e23 = e20
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (1017), (1957), (1959) are inconsistent by
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_24_23 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) ~ (all_24_28 = e21)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1961) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_14_9 = e22
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1962) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) ~ (all_6_1 = e21)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1963) imply:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) ~ (all_6_1 = e22)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1965) implies:
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) ~ (all_6_1 = e22)
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (1963) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) op2(e22, e21) = e22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1918) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_18_5 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1968) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_6_1 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (1969) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) ~ (all_14_13 = e20)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1946), (1969) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) op2(e22, e20) = e22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1024) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_18_7 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1970), (1972) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) ~ (all_18_7 = e20)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_18_7 = e22 | all_18_7 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_18_7 = e22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (768), (1975) are inconsistent by sub-proof
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_18_7 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1976) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_14_13 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1977) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_14_13 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1945), (1978) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) op2(e22, e21) = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (1978) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) op2(e22, e20) = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e21, e22, e20, e22,
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1971), (1980) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) e22 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e20, e22, e21, e22,
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1967), (1979) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) e22 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1981), (1982) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) e21 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1983) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) $false
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1984) is inconsistent.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_18_5 = e22 | all_18_5 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (1964), (1966), (1985) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1986) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (1987) are inconsistent by sub-proof
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1009), (1988) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1990) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1991) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_24_25 = e23
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (723), (772), (1992) are inconsistent by sub-proof
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1993) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1994) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_24_30 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_24_25 = e23
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (1996) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) e23 = e22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1997) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) e23 = e22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1905), (1995) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) e23 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1015), (1998), (1999) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e20)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2000) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2001) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2002) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1013), (1905), (2004) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2005) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_24_29 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_24_28 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_24_27 = e22)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2007) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_6_1 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (2006) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_14_14 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2010) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_14_14 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (2011) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) ~ (all_14_13 = e21)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (2009) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) ~ (all_14_13 = e20)
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1024) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_18_7 = e20
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (2013), (2014) are inconsistent by
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_18_7 = e22 | all_18_7 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2015) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_18_7 = e22
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (768), (2016) are inconsistent by sub-proof
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_18_7 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2017) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_14_13 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2018) implies:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_14_13 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2012), (2019) imply:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) $false
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2020) is inconsistent.
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_26 = e21) |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_22 = e23) & ( ~ (all_24_28 = e21) |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23 = e22) & ( ~ (all_24_31 = e21) |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24 = e20)) | (all_24_12 = e23 &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_13 = e22 & all_24_14 = e21 & all_24_15 =
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & ( ~ (all_24_26 = e20) | all_24_25 = e23) &
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_28 = e20) | all_24_27 = e22) & ( ~
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20) | all_24_29 = e21))
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2021) gives:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_26 = e21) |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_22 = e23) & ( ~ (all_24_28 = e21) |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_23 = e22) & ( ~ (all_24_31 = e21) |
% 53.61/8.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_24 = e20)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2022) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_24_10 = e21
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1935), (2023) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) e22 = e21
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2024) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) e22 = e21
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (2025) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) $false
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2026) is inconsistent.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_24_12 = e23 & all_24_13 = e22 & all_24_14 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_15 = e20 & ( ~ (all_24_26 = e20) |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_25 = e23) & ( ~ (all_24_28 = e20) |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22) & ( ~ (all_24_30 = e20) |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2027) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) ~ (all_24_28 = e20) | all_24_27 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2028) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (all_24_28 = e20)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (2029) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) ~ (all_6_1 = e20)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (721), (722), (747), (772), (995), (1895),
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905), (1934), (2031) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2032) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2033) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2034) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2035) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_24_22 = e23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2036) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) e23 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2037) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) e23 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (2038) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) $false
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_24_31 = e21
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_24_22 = e23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2043) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) e23 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2044) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) e23 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (1017), (2042), (2045) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2046) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_24_23 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) ~ (all_24_28 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2047) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_14_9 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2049) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_14_9 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (2048) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) ~ (all_6_1 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (2050) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) ~ (all_6_1 = e22)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2052) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) ~ (all_6_1 = e22)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (1918), (2030), (2051), (2053) are
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2054) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2055) are inconsistent by sub-proof
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1009), (2056) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2057) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2058) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_24_25 = e23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (723), (772), (2060) are inconsistent by sub-proof
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2061) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2062) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_24_30 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_24_25 = e23
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (2064) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) e23 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2065) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) e23 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1905), (2063) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) e23 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2067) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) e23 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2066), (2068) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) e22 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2069) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) e22 = e20
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (2070) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) $false
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2071) is inconsistent.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e20)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2072) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2073) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2074) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2075) gives:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1013), (1905), (2076) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (2030), (2077) are inconsistent by
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_24_27 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (768), (2078) are inconsistent by sub-proof
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_20_12 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (618), (2079) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_14_3 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2080) implies:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_14_3 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (2081) imply:
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_24_18 = e22
% 53.61/8.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2081) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) ~ (all_14_11 = e22)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2083) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) ~ (all_14_11 = e22)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_20_15 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (2085) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) e23 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2086) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) (all_20_9 = e20 | all_20_10 = e20 | all_20_11 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_20_12 = e20 | all_20_13 = e20 |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = e20)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_20_12 = e20 | all_20_13 = e20 | all_20_14 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2088) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_20_12 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2079), (2089) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) e22 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2090) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) e22 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (2091) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) $false
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2092) is inconsistent.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_20_13 = e20 | all_20_14 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2093) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_20_13 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (2094) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_14_7 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2095) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_14_7 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2096) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) ~ (all_14_6 = e20)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (2096) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) ~ (all_6_1 = e20)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2098) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) ~ (all_6_1 = e20)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1924) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_20_13 = e21
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2094), (2100) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) e21 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (2101) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) $false
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2102) is inconsistent.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) ~ (all_20_13 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_20_14 = e21 | all_20_15 = e21
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_20_6 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (2105) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_8_0 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2106) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_8_0 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (895), (2107) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_24_17 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2093) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2096) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) ~ (all_14_3 = e20)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2111) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (1895), (2113) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)) | (all_24_17 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e23))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (772), (1895), (2115) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e23)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2116) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_24_17 = e21
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1017), (2108), (2117) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2119) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_24_17 = e21
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1017), (2108), (2120) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2121) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2122) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_24_28 = e23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2123) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_6_1 = e23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (2124) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) $false
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e23)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2126) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_24_18 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (2127) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_14_3 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2109), (2128) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) $false
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2129) is inconsistent.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (722), (747), (772), (1905), (2130) are
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2133) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2134) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_24_22 = e23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2135) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) e23 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2136) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2137) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2138) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_24_22 = e23
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2139) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) e23 = e20
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2140) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2141) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_24_23 = e22
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) ~ (all_24_28 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2142) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_14_9 = e22
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (2143) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) ~ (all_6_1 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (2144) imply:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) ~ (all_6_1 = e22)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2146) implies:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_6_1 = e22)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (1918), (2099), (2145), (2147) are
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2149) are inconsistent by sub-proof
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1009), (2150) are inconsistent by
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2151) gives:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2152) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2153) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_24_25 = e23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (723), (772), (2154) are inconsistent by sub-proof
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2155) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2156) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_24_30 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_24_25 = e23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (2158) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) e23 = e22
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2159) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) e23 = e22
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1905), (2157) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) e23 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2161) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) e23 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2160), (2162) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) e22 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (2162) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_20_1 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (993),
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013), (2164) are inconsistent by sub-proof #57.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e20)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2165) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2166) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2167) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2169) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_24_30 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1905), (2170) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) e23 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2171) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2172) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_24_28 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2173) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_6_1 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2174) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) $false
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2175) is inconsistent.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_20_14 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (631), (1009), (2176) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_20_7 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (622), (2097), (2178) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_20_8 = e20 | all_20_11 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2179) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_20_8 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1902), (2180) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) e23 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2181) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_20_11 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2182) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_14_14 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (2183) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_24_29 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_20_14 = e21
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (631), (2185) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_14_11 = e21
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2186) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_14_11 = e21
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2187) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_24_24 = e21
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1906), (2187) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) ~ (e23 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1918) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_18_5 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2190) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_6_1 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2191) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_6_1 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2192) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) $false
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2193) is inconsistent.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_18_5 = e22 | all_18_5 = e21
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2196) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (772), (995), (1895), (2197) are
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2198) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (895), (906), (2199) are inconsistent by sub-proof
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2200) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2201) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_24_18 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2082), (2202) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) e22 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (2203) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) $false
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2204) is inconsistent.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e23)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2205) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_24_18 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2082), (2206) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) e22 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (2207) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) $false
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2208) is inconsistent.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (722), (747), (772), (1905), (2209) are
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2210) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2211) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2213) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_24_22 = e23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2214) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) e23 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2215) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2217) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_24_22 = e23
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (2218) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) e23 = e20
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2219) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2220) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_24_23 = e22
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) ~ (all_24_28 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (2221) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_14_9 = e22
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (2222) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) ~ (all_6_1 = e21)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (2223) imply:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) ~ (all_6_1 = e22)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2225) implies:
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) ~ (all_6_1 = e22)
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (2194), (2224), (2226) are inconsistent by
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48.
% 53.61/8.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2227) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2228) are inconsistent by sub-proof
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2229) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2230) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_24_24 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2188), (2231) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) e21 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (2232) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2233) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e21)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2234) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_24_24 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2188), (2235) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) e21 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (2236) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2237) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2238) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2239) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2240) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_24_25 = e23
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (723), (772), (2241) are inconsistent by sub-proof
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2243) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_24_30 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1905), (2244) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) e23 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2245) are inconsistent by
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e20)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (1017), (2246) are inconsistent by
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2247) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2248) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_24_29 = e21
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2184), (2249) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) e21 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (2250) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2251) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2253) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_24_30 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1905), (2254) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) e23 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (985),
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993), (1013), (2255) are inconsistent by
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2256) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_24_29 = e21
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2184), (2257) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) e21 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (2258) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2259) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_20_15 = e21
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (2260) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) e23 = e21
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2261) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2262) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_20_14 = e20
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (631), (1009), (2263) are inconsistent by
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_20_11 = e23
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2264) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_14_14 = e23
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2265) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_14_14 = e23
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (2266) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2267) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_20_6 = e23 | all_20_12 = e23
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (750), (894), (1891), (2268) are
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_22_14 = e12
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2269) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_12_11 = e12
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1511), (2270) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2271) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_22_15 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (2272) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) e13 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2273) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2274) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_16_13 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2275) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_12_7 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2276) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_12_7 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1483), (2277) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2278) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_22_11 = e10
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (609), (2279) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_12_14 = e10
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1457), (2280) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2281) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_22_13 = e10
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2282) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_12_7 = e10
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2283) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_12_7 = e10
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1433), (2284) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2285) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_26_27 = e12
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (793), (2286) are inconsistent by sub-proof
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_16_4 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (2287) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_12_1 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2288) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_12_1 = e11
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2289) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2290) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | (2291) ~ (all_22_5 = e13)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (2291) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | (2292) ~ (all_12_9 = e13)
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1402) gives:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2293) all_22_5 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (2293) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2294) all_12_9 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2294) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2295) all_12_9 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2292), (2295) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2296) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2296) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2297) all_22_10 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (2297) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2298) all_12_13 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2298) implies:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2299) all_12_13 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2299) imply:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | (2300) $false
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2300) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | (2301) all_22_12 = e13
% 53.61/8.71 | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (426), (787), (2301) are inconsistent by sub-proof
% 53.61/8.71 | | | | | | | | | | | | | | | | | | | #16.
% 53.61/8.71 | | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | End of split
% 53.61/8.71 | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | Case 2:
% 53.61/8.71 | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | (2302) all_18_2 = e22 | all_18_2 = e21
% 53.61/8.71 | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | BETA: splitting (2302) gives:
% 53.61/8.71 | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | Case 1:
% 53.61/8.71 | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | (2303) all_18_2 = e22
% 53.61/8.71 | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | COMBINE_EQS: (683), (2303) imply:
% 53.61/8.71 | | | | | | | | | | | | (2304) all_14_8 = e22
% 53.61/8.71 | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | REDUCE: (761), (2304) imply:
% 53.61/8.71 | | | | | | | | | | | | (2305) $false
% 53.61/8.71 | | | | | | | | | | | |
% 53.61/8.71 | | | | | | | | | | | | CLOSE: (2305) is inconsistent.
% 53.61/8.71 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | Case 2:
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | (2306) all_18_2 = e21
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | COMBINE_EQS: (683), (2306) imply:
% 53.61/8.72 | | | | | | | | | | | | (2307) all_14_8 = e21
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | REDUCE: (745), (2307) imply:
% 53.61/8.72 | | | | | | | | | | | | (2308) $false
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | CLOSE: (2308) is inconsistent.
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | End of split
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | End of split
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | End of split
% 53.61/8.72 | | | | | | | | |
% 53.61/8.72 | | | | | | | | Case 2:
% 53.61/8.72 | | | | | | | | |
% 53.61/8.72 | | | | | | | | | (2309) ~ (all_18_1 = e23)
% 53.61/8.72 | | | | | | | | | (2310) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 53.61/8.72 | | | | | | | | |
% 53.61/8.72 | | | | | | | | | REDUCE: (679), (2309) imply:
% 53.61/8.72 | | | | | | | | | (2311) ~ (all_14_4 = e23)
% 53.61/8.72 | | | | | | | | |
% 53.61/8.72 | | | | | | | | | BETA: splitting (2310) gives:
% 53.61/8.72 | | | | | | | | |
% 53.61/8.72 | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | (2312) all_18_1 = e20
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | COMBINE_EQS: (679), (2312) imply:
% 53.61/8.72 | | | | | | | | | | (2313) all_14_4 = e20
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | COMBINE_EQS: (526), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2314) all_20_1 = e20
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | COMBINE_EQS: (725), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2315) all_24_19 = e20
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (140), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2316) ~ (all_14_6 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2316) implies:
% 53.61/8.72 | | | | | | | | | | (2317) ~ (all_14_6 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (139), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2318) ~ (all_14_7 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2318) implies:
% 53.61/8.72 | | | | | | | | | | (2319) ~ (all_14_7 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (138), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2320) ~ (all_14_8 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2320) implies:
% 53.61/8.72 | | | | | | | | | | (2321) ~ (all_14_8 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (751), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2322) ~ (all_6_1 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2322) implies:
% 53.61/8.72 | | | | | | | | | | (2323) ~ (all_6_1 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (2311), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2324) ~ (e23 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2324) implies:
% 53.61/8.72 | | | | | | | | | | (2325) ~ (e23 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (752), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2326) ~ (e22 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2326) implies:
% 53.61/8.72 | | | | | | | | | | (2327) ~ (e22 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | REDUCE: (743), (2313) imply:
% 53.61/8.72 | | | | | | | | | | (2328) ~ (e21 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | SIMP: (2328) implies:
% 53.61/8.72 | | | | | | | | | | (2329) ~ (e21 = e20)
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | BETA: splitting (223) gives:
% 53.61/8.72 | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | (2330) all_18_2 = e23
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | COMBINE_EQS: (683), (2330) imply:
% 53.61/8.72 | | | | | | | | | | | (2331) all_14_8 = e23
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | COMBINE_EQS: (724), (2331) imply:
% 53.61/8.72 | | | | | | | | | | | (2332) all_24_22 = e23
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | REDUCE: (130), (2331) imply:
% 53.61/8.72 | | | | | | | | | | | (2333) ~ (all_14_9 = e23)
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | SIMP: (2333) implies:
% 53.61/8.72 | | | | | | | | | | | (2334) ~ (all_14_9 = e23)
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | REDUCE: (760), (2331) imply:
% 53.61/8.72 | | | | | | | | | | | (2335) ~ (all_4_1 = e23)
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | SIMP: (2335) implies:
% 53.61/8.72 | | | | | | | | | | | (2336) ~ (all_4_1 = e23)
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | BETA: splitting (217) gives:
% 53.61/8.72 | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | (2337) all_18_12 = e23
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | COMBINE_EQS: (697), (2337) imply:
% 53.61/8.72 | | | | | | | | | | | | (2338) all_14_3 = e23
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | REDUCE: (750), (2338) imply:
% 53.61/8.72 | | | | | | | | | | | | (2339) $false
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | CLOSE: (2339) is inconsistent.
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | Case 2:
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | (2340) ~ (all_18_12 = e23)
% 53.61/8.72 | | | | | | | | | | | | (2341) all_18_12 = e22 | all_18_12 = e21 | all_18_12 =
% 53.61/8.72 | | | | | | | | | | | | e20
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | BETA: splitting (245) gives:
% 53.61/8.72 | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | (2342) all_20_6 = e23
% 53.61/8.72 | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | COMBINE_EQS: (894), (2342) imply:
% 53.61/8.72 | | | | | | | | | | | | | (2343) all_8_0 = e23
% 53.61/8.72 | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | COMBINE_EQS: (895), (2343) imply:
% 53.61/8.72 | | | | | | | | | | | | | (2344) all_24_17 = e23
% 53.61/8.72 | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | REDUCE: (900), (2343) imply:
% 53.61/8.72 | | | | | | | | | | | | | (2345) ~ (all_14_1 = e23)
% 53.61/8.72 | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | BETA: splitting (250) gives:
% 53.61/8.72 | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | (2346) all_20_2 = e23
% 53.61/8.72 | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | REF_CLOSE: (615), (2345), (2346) are inconsistent by
% 53.61/8.72 | | | | | | | | | | | | | | sub-proof #58.
% 53.61/8.72 | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | Case 2:
% 53.61/8.72 | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | (2347) all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23
% 53.61/8.72 | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 53.61/8.72 | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | (2348) all_20_1 = e23
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | COMBINE_EQS: (2314), (2348) imply:
% 53.61/8.72 | | | | | | | | | | | | | | | (2349) e23 = e20
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | REDUCE: (2325), (2349) imply:
% 53.61/8.72 | | | | | | | | | | | | | | | (2350) $false
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | CLOSE: (2350) is inconsistent.
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | Case 2:
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | (2351) all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | BETA: splitting (2351) gives:
% 53.61/8.72 | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | | (2352) all_20_3 = e23
% 53.61/8.72 | | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2352) imply:
% 53.61/8.72 | | | | | | | | | | | | | | | | (2353) all_6_1 = e23
% 53.61/8.72 | | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | | SIMP: (2353) implies:
% 53.61/8.72 | | | | | | | | | | | | | | | | (2354) all_6_1 = e23
% 53.61/8.72 | | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2354) imply:
% 53.61/8.72 | | | | | | | | | | | | | | | | (2355) all_24_28 = e23
% 53.61/8.72 | | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 53.61/8.72 | | | | | | | | | | | | | | | |
% 53.61/8.72 | | | | | | | | | | | | | | | | Case 1:
% 53.61/8.72 | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | (2356) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.24/8.72 | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 54.24/8.72 | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | BETA: splitting (2356) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (2357) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.24/8.72 | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | (2358) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | (all_24_30 = e23))
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (2358) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2359) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (2359) implies:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2360) all_24_30 = e23
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (2336), (2360) are inconsistent by
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2361) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)) | (all_24_17 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e23))
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2361) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2362) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2362) implies:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2363) ~ (all_24_28 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2355), (2363) imply:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2364) $false
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2364) is inconsistent.
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2365) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2365) implies:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2366) all_24_17 = e21
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2344), (2366) imply:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2367) e23 = e21
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2367) imply:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2368) $false
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2368) is inconsistent.
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | End of split
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | End of split
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | Case 2:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | (2369) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (2369) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2370) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (2370) implies:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2371) all_24_17 = e21
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2344), (2371) imply:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2372) e23 = e21
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2372) imply:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2373) $false
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | CLOSE: (2373) is inconsistent.
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | (2374) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23))
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2374) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2375) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2375) implies:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2376) ~ (all_24_31 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (2376) imply:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2377) $false
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2377) is inconsistent.
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2378) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e23)
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2378) implies:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | (2379) all_24_30 = e23
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (2336), (2379) are inconsistent by
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | | End of split
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | End of split
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | End of split
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | Case 2:
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (2380) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 54.24/8.72 | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.24/8.72 | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.24/8.72 | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | BETA: splitting (2380) gives:
% 54.24/8.72 | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | Case 1:
% 54.24/8.72 | | | | | | | | | | | | | | | | | | |
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | (2381) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 54.24/8.72 | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (all_24_30 = e22))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (722), (747), (2315), (2325), (2327),
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (2381) are inconsistent by sub-proof #15.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (2382) (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)) | (all_24_21 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e22 & ~ (all_24_19 = e23) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (2382) gives:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2383) all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (2383) implies:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2384) all_24_31 = e22
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2384) imply:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2385) e23 = e22
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2385) imply:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2386) $false
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | CLOSE: (2386) is inconsistent.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2387) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22)) | (all_24_21 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (722), (747), (2319), (2387) are
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | (2388) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.72 | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 54.62/8.72 | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 54.62/8.72 | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.72 | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | (2389) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.72 | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 54.62/8.72 | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | BETA: splitting (2389) gives:
% 54.62/8.72 | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (2390) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2391) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (2391) implies:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2392) all_24_28 = e21
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2355), (2392) are inconsistent by sub-proof
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | #13.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2393) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2332), (2393) are inconsistent by
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (2394) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2395) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2395) are inconsistent by sub-proof
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | #11.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | (2396) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2396) gives:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | (2397) all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2397) implies:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | (2398) ~ (all_24_22 = e23)
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2332), (2398) imply:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | (2399) $false
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | (2400) all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e21)
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2400) implies:
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | (2401) all_24_28 = e21
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2355), (2401) are inconsistent by sub-proof
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | | #13.
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.72 | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.72 | | | | | | | | | | | | | | | | | |
% 54.62/8.72 | | | | | | | | | | | | | | | | | | (2402) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 54.62/8.73 | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2403) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2403) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2404) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (2404) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2405) all_24_28 = e20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2406) all_24_25 = e23
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (2406) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2407) e23 = e22
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | SIMP: (2407) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2408) e23 = e22
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2355), (2405) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2409) e23 = e20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2327), (2408), (2409) are inconsistent by
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2410) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (723), (772), (2329), (2410) are
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2411) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2412) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (2329), (2412) are inconsistent by
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2413) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2413) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | (2414) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (768), (2414) are inconsistent by sub-proof
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | #10.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | (2415) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2415) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | (2416) all_24_28 = e20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2355), (2416) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | (2417) e23 = e20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (2417) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | (2418) e23 = e20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2325), (2418) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | (2419) $false
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2419) is inconsistent.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | (2420) ~ (all_20_3 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | REDUCE: (639), (2420) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | (2421) ~ (all_6_1 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | REF_CLOSE: (629), (636), (639), (773), (2334), (2347), (2421)
% 54.62/8.73 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #33.
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | (2422) all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23
% 54.62/8.73 | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | BETA: splitting (256) gives:
% 54.62/8.73 | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | (2423) all_20_0 = e23
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | COMBINE_EQS: (720), (2423) imply:
% 54.62/8.73 | | | | | | | | | | | | | | (2424) e23 = e21
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | SIMP: (2424) implies:
% 54.62/8.73 | | | | | | | | | | | | | | (2425) e23 = e21
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | REDUCE: (11), (2425) imply:
% 54.62/8.73 | | | | | | | | | | | | | | (2426) $false
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | CLOSE: (2426) is inconsistent.
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | (2427) all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | BETA: splitting (2422) gives:
% 54.62/8.73 | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | (2428) all_20_7 = e23
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | COMBINE_EQS: (622), (2428) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | (2429) all_14_6 = e23
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | COMBINE_EQS: (502), (2429) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | (2430) all_24_20 = e23
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | REDUCE: (904), (2429) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | (2431) ~ (all_8_0 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | SIMP: (2431) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | (2432) ~ (all_8_0 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 54.62/8.73 | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | (2433) all_20_2 = e23
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (2433) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | (2434) all_14_1 = e23
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | SIMP: (2434) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | (2435) all_14_1 = e23
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (2435) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | (2436) all_24_16 = e23
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | REDUCE: (748), (2435) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | (2437) ~ (all_6_1 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | SIMP: (2437) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | (2438) ~ (all_6_1 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | (2439) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.62/8.73 | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | BETA: splitting (2439) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (2440) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.62/8.73 | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | BETA: splitting (2440) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2441) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_30 = e23))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (772), (2436), (2438), (2441) are
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2442) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_31 = e23))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2442) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2443) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (895), (906), (2443) are inconsistent by sub-proof
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | #18.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2444) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (499), (515), (2336), (2438), (2444) are
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (2445) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | BETA: splitting (2445) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2446) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_30 = e22))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (722), (747), (2315), (2325), (2327),
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2446) are inconsistent by sub-proof #15.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2447) (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)) | (all_24_21 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e22 & ~ (all_24_19 = e23) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_31 = e22))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2447) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2448) all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (2448) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2449) all_24_31 = e22
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2450) all_24_20 = e21
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2430), (2450) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2451) e23 = e21
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2449) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2452) e23 = e22
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2451), (2452) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2453) e22 = e21
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (2453) imply:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2454) $false
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (2454) is inconsistent.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2455) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22)) | (all_24_21 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (722), (747), (2319), (2455) are
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | End of split
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | Case 2:
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | (2456) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.73 | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | BETA: splitting (2456) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (2457) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.73 | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | BETA: splitting (2457) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (2458) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 =
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 &
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | (all_24_28 = e21))
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2458) gives:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2459) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (2459) implies:
% 54.62/8.73 | | | | | | | | | | | | | | | | | | | | (2460) ~ (all_24_26 = e21)
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (2460) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | (2461) $false
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (2461) is inconsistent.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | (2462) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 =
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21))
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2332), (2462) are inconsistent by
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.73 | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | (2463) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 =
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 &
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | (all_24_31 = e21))
% 54.66/8.73 | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2463) gives:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | (2464) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (721), (2464) are inconsistent by sub-proof
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | #11.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | (2465) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 =
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21))
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2465) gives:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2466) all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2466) implies:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2467) ~ (all_24_22 = e23)
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2332), (2467) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2468) $false
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2468) is inconsistent.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2469) all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e21)
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2469) implies:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2470) all_24_28 = e21
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2471) all_24_24 = e20
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2471) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2472) all_14_11 = e20
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2470) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2473) all_6_1 = e21
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (2473) implies:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2474) all_6_1 = e21
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2474) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2475) all_20_3 = e21
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2472) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | (2476) ~ (all_14_3 = e20)
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | (2477) all_20_1 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2314), (2477) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | (2478) e22 = e20
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2327), (2478) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | (2479) $false
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2479) is inconsistent.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | (2480) all_20_3 = e22 | all_20_7 = e22 | all_20_13 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2480) gives:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | (2481) all_20_3 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2475), (2481) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | (2482) e22 = e21
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (2482) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | (2483) $false
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2483) is inconsistent.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | (2484) all_20_7 = e22 | all_20_13 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2484) gives:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_20_7 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2428), (2485) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (2486) e23 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2486) implies:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (2487) e23 = e22
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2487) imply:
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | (2488) $false
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2488) is inconsistent.
% 54.66/8.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_20_13 = e22
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (2489) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_14_7 = e22
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2490) implies:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_14_7 = e22
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2491) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | (2492) ~ (all_14_3 = e22)
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_18_12 = e20
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (2493) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_14_3 = e20
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (2494) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2495) $false
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2495) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_18_12 = e22 | all_18_12 = e21
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2496) gives:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_18_12 = e22
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (2497) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_14_3 = e22
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2492), (2498) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) $false
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2499) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_18_12 = e21
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (2500) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_14_3 = e21
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (2501) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) $false
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2502) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | (2503) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 54.66/8.74 | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 54.66/8.74 | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.66/8.74 | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~
% 54.66/8.74 | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~
% 54.66/8.74 | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 54.66/8.74 | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 54.66/8.74 | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives:
% 54.66/8.74 | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | (2504) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 =
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | (all_24_28 = e20))
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (723), (772), (2329), (2504) are
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | (2505) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 =
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | (all_24_30 = e20))
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (2505) gives:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | (2506) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (722), (2329), (2506) are inconsistent by
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | (2507) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 =
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) &
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20))
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2507) gives:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | (2508) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (768), (2508) are inconsistent by sub-proof
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | #10.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | (2509) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20)
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (2323), (2509) are inconsistent by
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | (2510) ~ (all_20_2 = e23)
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | REDUCE: (615), (2510) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | (2511) ~ (all_14_1 = e23)
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | BETA: splitting (2427) gives:
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | (2512) all_20_2 = e23
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (615), (2511), (2512) are inconsistent by
% 54.66/8.74 | | | | | | | | | | | | | | | | | sub-proof #58.
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | (2513) all_20_6 = e23 | all_20_12 = e23
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (750), (894), (2432), (2513) are
% 54.66/8.74 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 54.66/8.74 | | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | (2514) all_20_8 = e23 | all_20_11 = e23
% 54.66/8.74 | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | BETA: splitting (2514) gives:
% 54.66/8.74 | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | (2515) all_20_8 = e23
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (2515) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | (2516) all_4_1 = e23
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | REDUCE: (2336), (2516) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | (2517) $false
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | CLOSE: (2517) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | (2518) all_20_11 = e23
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2518) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | (2519) all_14_14 = e23
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | REDUCE: (774), (2519) imply:
% 54.66/8.74 | | | | | | | | | | | | | | | | (2520) $false
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | | CLOSE: (2520) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2521) ~ (all_18_2 = e23)
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | REDUCE: (683), (2521) imply:
% 54.66/8.74 | | | | | | | | | | | (2522) ~ (all_14_8 = e23)
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | REF_CLOSE: (11), (257), (520), (523), (720), (772), (2314),
% 54.66/8.74 | | | | | | | | | | | (2325), (2522) are inconsistent by sub-proof #57.
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | (2523) all_18_1 = e22 | all_18_1 = e21
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | BETA: splitting (2523) gives:
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2524) all_18_1 = e22
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | COMBINE_EQS: (679), (2524) imply:
% 54.66/8.74 | | | | | | | | | | | (2525) all_14_4 = e22
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | REDUCE: (752), (2525) imply:
% 54.66/8.74 | | | | | | | | | | | (2526) $false
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | CLOSE: (2526) is inconsistent.
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2527) all_18_1 = e21
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | COMBINE_EQS: (679), (2527) imply:
% 54.66/8.74 | | | | | | | | | | | (2528) all_14_4 = e21
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | REDUCE: (743), (2528) imply:
% 54.66/8.74 | | | | | | | | | | | (2529) $false
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | CLOSE: (2529) is inconsistent.
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | |
% 54.66/8.74 | | | | | | | | End of split
% 54.66/8.74 | | | | | | | |
% 54.66/8.74 | | | | | | | End of split
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | End of split
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | Case 2:
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | (2530) all_22_9 = e10
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | REF_CLOSE: (8), (601), (2530) are inconsistent by sub-proof #9.
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | End of split
% 54.66/8.74 | | | | |
% 54.66/8.74 | | | | End of split
% 54.66/8.74 | | | |
% 54.66/8.74 | | | End of split
% 54.66/8.74 | | |
% 54.66/8.74 | | Case 2:
% 54.66/8.74 | | |
% 54.66/8.74 | | | (2531) ~ (all_16_1 = e13)
% 54.66/8.74 | | | (2532) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 54.66/8.74 | | |
% 54.66/8.74 | | | REDUCE: (651), (2531) imply:
% 54.66/8.74 | | | (2533) ~ (all_12_4 = e13)
% 54.66/8.74 | | |
% 54.66/8.74 | | | BETA: splitting (2532) gives:
% 54.66/8.74 | | |
% 54.66/8.74 | | | Case 1:
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | (2534) all_16_1 = e10
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | COMBINE_EQS: (651), (2534) imply:
% 54.66/8.74 | | | | (2535) all_12_4 = e10
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | COMBINE_EQS: (589), (2535) imply:
% 54.66/8.74 | | | | (2536) all_22_1 = e10
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | COMBINE_EQS: (548), (2535) imply:
% 54.66/8.74 | | | | (2537) all_26_19 = e10
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | REDUCE: (82), (2535) imply:
% 54.66/8.74 | | | | (2538) ~ (all_12_5 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | SIMP: (2538) implies:
% 54.66/8.74 | | | | (2539) ~ (all_12_5 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | REDUCE: (81), (2535) imply:
% 54.66/8.74 | | | | (2540) ~ (all_12_6 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | SIMP: (2540) implies:
% 54.66/8.74 | | | | (2541) ~ (all_12_6 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | REDUCE: (80), (2535) imply:
% 54.66/8.74 | | | | (2542) ~ (all_12_7 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | SIMP: (2542) implies:
% 54.66/8.74 | | | | (2543) ~ (all_12_7 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | REDUCE: (79), (2535) imply:
% 54.66/8.74 | | | | (2544) ~ (all_12_8 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | SIMP: (2544) implies:
% 54.66/8.74 | | | | (2545) ~ (all_12_8 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | REDUCE: (788), (2535) imply:
% 54.66/8.74 | | | | (2546) ~ (e12 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | REDUCE: (782), (2535) imply:
% 54.66/8.74 | | | | (2547) ~ (e11 = e10)
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | BETA: splitting (198) gives:
% 54.66/8.74 | | | |
% 54.66/8.74 | | | | Case 1:
% 54.66/8.74 | | | | |
% 54.66/8.74 | | | | | (2548) all_16_2 = e13
% 54.66/8.74 | | | | |
% 54.66/8.74 | | | | | COMBINE_EQS: (656), (2548) imply:
% 54.66/8.74 | | | | | (2549) all_12_8 = e13
% 54.66/8.74 | | | | |
% 54.66/8.74 | | | | | COMBINE_EQS: (467), (2549) imply:
% 54.66/8.74 | | | | | (2550) all_26_22 = e13
% 54.66/8.74 | | | | |
% 54.66/8.74 | | | | | BETA: splitting (196) gives:
% 54.66/8.74 | | | | |
% 54.66/8.74 | | | | | Case 1:
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | (2551) all_16_5 = e13
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | COMBINE_EQS: (655), (2551) imply:
% 54.66/8.74 | | | | | | (2552) all_12_5 = e13
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | SIMP: (2552) implies:
% 54.66/8.74 | | | | | | (2553) all_12_5 = e13
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | COMBINE_EQS: (555), (2553) imply:
% 54.66/8.74 | | | | | | (2554) all_26_28 = e13
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | REDUCE: (91), (2553) imply:
% 54.66/8.74 | | | | | | (2555) ~ (all_12_1 = e13)
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | BETA: splitting (279) gives:
% 54.66/8.74 | | | | | |
% 54.66/8.74 | | | | | | Case 1:
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | (2556) all_22_6 = e13
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | COMBINE_EQS: (584), (2556) imply:
% 54.66/8.74 | | | | | | | (2557) all_12_2 = e13
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | SIMP: (2557) implies:
% 54.66/8.74 | | | | | | | (2558) all_12_2 = e13
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | COMBINE_EQS: (562), (2558) imply:
% 54.66/8.74 | | | | | | | (2559) all_26_17 = e13
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | REDUCE: (87), (2558) imply:
% 54.66/8.74 | | | | | | | (2560) ~ (all_12_10 = e13)
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | SIMP: (2560) implies:
% 54.66/8.74 | | | | | | | (2561) ~ (all_12_10 = e13)
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | BETA: splitting (341) gives:
% 54.66/8.74 | | | | | | |
% 54.66/8.74 | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | |
% 54.66/8.74 | | | | | | | | (2562) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 =
% 54.66/8.74 | | | | | | | | e11) & ~ (all_26_28 = e13)) | (all_26_16 = e12 &
% 54.66/8.74 | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.74 | | | | | | | | (all_26_28 = e13)) | (all_26_17 = e11 & all_26_28 =
% 54.66/8.74 | | | | | | | | e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13)) |
% 54.66/8.74 | | | | | | | | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 =
% 54.66/8.74 | | | | | | | | e10) & ~ (all_26_30 = e13)) | (all_26_18 = e10 &
% 54.66/8.74 | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.74 | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & all_26_30 =
% 54.66/8.74 | | | | | | | | e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13)) |
% 54.66/8.74 | | | | | | | | (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 =
% 54.66/8.74 | | | | | | | | e11) & ~ (all_26_26 = e12)) | (all_26_19 = e13 &
% 54.66/8.74 | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.74 | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 =
% 54.66/8.74 | | | | | | | | e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12)) |
% 54.66/8.74 | | | | | | | | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 =
% 54.66/8.74 | | | | | | | | e10) & ~ (all_26_30 = e12)) | (all_26_21 = e10 &
% 54.66/8.74 | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.74 | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & all_26_30 =
% 54.66/8.74 | | | | | | | | e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.66/8.74 | | | | | | | |
% 54.66/8.74 | | | | | | | | BETA: splitting (2562) gives:
% 54.66/8.74 | | | | | | | |
% 54.66/8.74 | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | |
% 54.66/8.74 | | | | | | | | | (2563) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 =
% 54.66/8.74 | | | | | | | | | e11) & ~ (all_26_28 = e13)) | (all_26_16 = e12
% 54.66/8.74 | | | | | | | | | & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.74 | | | | | | | | | (all_26_28 = e13)) | (all_26_17 = e11 & all_26_28
% 54.66/8.74 | | | | | | | | | = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 =
% 54.66/8.74 | | | | | | | | | e13)) | (all_26_17 = e11 & all_26_31 = e13 & ~
% 54.66/8.74 | | | | | | | | | (all_26_18 = e10) & ~ (all_26_30 = e13)) |
% 54.66/8.74 | | | | | | | | | (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 =
% 54.66/8.74 | | | | | | | | | e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10
% 54.66/8.74 | | | | | | | | | & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.74 | | | | | | | | | (all_26_31 = e13))
% 54.66/8.74 | | | | | | | | |
% 54.66/8.74 | | | | | | | | | BETA: splitting (2563) gives:
% 54.66/8.74 | | | | | | | | |
% 54.66/8.74 | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | (2564) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.74 | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 54.66/8.74 | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 54.66/8.74 | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.74 | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.74 | | | | | | | | | | (all_26_30 = e13))
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | BETA: splitting (2564) gives:
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2565) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.74 | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | ALPHA: (2565) implies:
% 54.66/8.74 | | | | | | | | | | | (2566) all_26_30 = e13
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | REF_CLOSE: (434), (2561), (2566) are inconsistent by
% 54.66/8.74 | | | | | | | | | | | sub-proof #8.
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2567) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.74 | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)) | (all_26_17 =
% 54.66/8.74 | | | | | | | | | | | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) &
% 54.66/8.74 | | | | | | | | | | | ~ (all_26_30 = e13))
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | BETA: splitting (2567) gives:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | (2568) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.74 | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | ALPHA: (2568) implies:
% 54.66/8.74 | | | | | | | | | | | | (2569) ~ (all_26_28 = e13)
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | REDUCE: (2554), (2569) imply:
% 54.66/8.74 | | | | | | | | | | | | (2570) $false
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | CLOSE: (2570) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | (2571) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16
% 54.66/8.74 | | | | | | | | | | | | = e12) & ~ (all_26_30 = e13)
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | ALPHA: (2571) implies:
% 54.66/8.74 | | | | | | | | | | | | (2572) all_26_17 = e11
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | REF_CLOSE: (10), (2559), (2572) are inconsistent by sub-proof
% 54.66/8.74 | | | | | | | | | | | | #7.
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | (2573) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.74 | | | | | | | | | | = e10) & ~ (all_26_30 = e13)) | (all_26_18 =
% 54.66/8.74 | | | | | | | | | | e10 & all_26_28 = e13 & ~ (all_26_16 = e12) &
% 54.66/8.74 | | | | | | | | | | ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.74 | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.74 | | | | | | | | | | (all_26_31 = e13))
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | BETA: splitting (2573) gives:
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2574) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.74 | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | ALPHA: (2574) implies:
% 54.66/8.74 | | | | | | | | | | | (2575) all_26_17 = e11
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | REF_CLOSE: (10), (2559), (2575) are inconsistent by sub-proof
% 54.66/8.74 | | | | | | | | | | | #7.
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | (2576) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16
% 54.66/8.74 | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)) | (all_26_18 =
% 54.66/8.74 | | | | | | | | | | | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) &
% 54.66/8.74 | | | | | | | | | | | ~ (all_26_31 = e13))
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | BETA: splitting (2576) gives:
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | Case 1:
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | (2577) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16
% 54.66/8.74 | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | ALPHA: (2577) implies:
% 54.66/8.74 | | | | | | | | | | | | (2578) ~ (all_26_31 = e13)
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | REDUCE: (413), (2578) imply:
% 54.66/8.74 | | | | | | | | | | | | (2579) $false
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | CLOSE: (2579) is inconsistent.
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | (2580) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.74 | | | | | | | | | | | | = e11) & ~ (all_26_31 = e13)
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | ALPHA: (2580) implies:
% 54.66/8.74 | | | | | | | | | | | | (2581) all_26_30 = e13
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | | REF_CLOSE: (434), (2561), (2581) are inconsistent by
% 54.66/8.74 | | | | | | | | | | | | sub-proof #8.
% 54.66/8.74 | | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | | |
% 54.66/8.74 | | | | | | | | | End of split
% 54.66/8.74 | | | | | | | | |
% 54.66/8.74 | | | | | | | | Case 2:
% 54.66/8.74 | | | | | | | | |
% 54.66/8.74 | | | | | | | | | (2582) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 =
% 54.66/8.74 | | | | | | | | | e11) & ~ (all_26_26 = e12)) | (all_26_19 = e13
% 54.66/8.74 | | | | | | | | | & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.75 | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26
% 54.66/8.75 | | | | | | | | | = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 =
% 54.66/8.75 | | | | | | | | | e12)) | (all_26_20 = e11 & all_26_31 = e12 & ~
% 54.66/8.75 | | | | | | | | | (all_26_21 = e10) & ~ (all_26_30 = e12)) |
% 54.66/8.75 | | | | | | | | | (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 =
% 54.66/8.75 | | | | | | | | | e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10
% 54.66/8.75 | | | | | | | | | & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.75 | | | | | | | | | (all_26_31 = e12))
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | BETA: splitting (2582) gives:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2583) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20
% 54.66/8.75 | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 =
% 54.66/8.75 | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.75 | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.75 | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.75 | | | | | | | | | | (all_26_30 = e12))
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | REF_CLOSE: (8), (9), (413), (546), (786), (2537), (2583) are
% 54.66/8.75 | | | | | | | | | | inconsistent by sub-proof #6.
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2584) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21
% 54.66/8.75 | | | | | | | | | | = e10) & ~ (all_26_30 = e12)) | (all_26_21 =
% 54.66/8.75 | | | | | | | | | | e10 & all_26_26 = e12 & ~ (all_26_19 = e13) &
% 54.66/8.75 | | | | | | | | | | ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.75 | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.75 | | | | | | | | | | (all_26_31 = e12))
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | BETA: splitting (2584) gives:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2585) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21
% 54.66/8.75 | | | | | | | | | | | = e10) & ~ (all_26_30 = e12)
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | ALPHA: (2585) implies:
% 54.66/8.75 | | | | | | | | | | | (2586) all_26_31 = e12
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (413), (797), (2586) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | #78.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2587) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19
% 54.66/8.75 | | | | | | | | | | | = e13) & ~ (all_26_31 = e12)) | (all_26_21 =
% 54.66/8.75 | | | | | | | | | | | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.66/8.75 | | | | | | | | | | | ~ (all_26_31 = e12))
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (423), (546), (786), (2543), (2587) are
% 54.66/8.75 | | | | | | | | | | | inconsistent by sub-proof #5.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | End of split
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | (2588) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 =
% 54.66/8.75 | | | | | | | | e12) & ~ (all_26_26 = e11)) | (all_26_22 = e13 &
% 54.66/8.75 | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.75 | | | | | | | | (all_26_26 = e11)) | (all_26_23 = e12 & all_26_26 =
% 54.66/8.75 | | | | | | | | e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = e11)) |
% 54.66/8.75 | | | | | | | | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 =
% 54.66/8.75 | | | | | | | | e10) & ~ (all_26_28 = e11)) | (all_26_24 = e10 &
% 54.66/8.75 | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.75 | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & all_26_28 =
% 54.66/8.75 | | | | | | | | e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = e11)) |
% 54.66/8.75 | | | | | | | | (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 =
% 54.66/8.75 | | | | | | | | e10) & ~ (all_26_27 = e12)) | (all_26_25 = e13 &
% 54.66/8.75 | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.75 | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 & all_26_27 =
% 54.66/8.75 | | | | | | | | e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = e10)) |
% 54.66/8.75 | | | | | | | | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 =
% 54.66/8.75 | | | | | | | | e13) & ~ (all_26_30 = e10)) | (all_26_27 = e12 &
% 54.66/8.75 | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 54.66/8.75 | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & all_26_29 =
% 54.66/8.75 | | | | | | | | e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = e10))
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | BETA: splitting (2588) gives:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | (2589) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 =
% 54.66/8.75 | | | | | | | | | e12) & ~ (all_26_26 = e11)) | (all_26_22 = e13
% 54.66/8.75 | | | | | | | | | & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.75 | | | | | | | | | (all_26_26 = e11)) | (all_26_23 = e12 & all_26_26
% 54.66/8.75 | | | | | | | | | = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 =
% 54.66/8.75 | | | | | | | | | e11)) | (all_26_23 = e12 & all_26_31 = e11 & ~
% 54.66/8.75 | | | | | | | | | (all_26_24 = e10) & ~ (all_26_28 = e11)) |
% 54.66/8.75 | | | | | | | | | (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 =
% 54.66/8.75 | | | | | | | | | e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10
% 54.66/8.75 | | | | | | | | | & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.75 | | | | | | | | | (all_26_31 = e11))
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | BETA: splitting (2589) gives:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2590) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.75 | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 54.66/8.75 | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.75 | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.75 | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.75 | | | | | | | | | | (all_26_28 = e11))
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | BETA: splitting (2590) gives:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2591) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.75 | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | ALPHA: (2591) implies:
% 54.66/8.75 | | | | | | | | | | | (2592) all_26_28 = e11
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (10), (2554), (2592) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | #4.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2593) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 54.66/8.75 | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 54.66/8.75 | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.75 | | | | | | | | | | | ~ (all_26_28 = e11))
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (10), (413), (2550), (2593) are inconsistent by
% 54.66/8.75 | | | | | | | | | | | sub-proof #3.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2594) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 54.66/8.75 | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 =
% 54.66/8.75 | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.75 | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.75 | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.75 | | | | | | | | | | (all_26_31 = e11))
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | BETA: splitting (2594) gives:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2595) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 54.66/8.75 | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | ALPHA: (2595) implies:
% 54.66/8.75 | | | | | | | | | | | (2596) all_26_31 = e11
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (10), (413), (2596) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | #74.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2597) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22
% 54.66/8.75 | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 =
% 54.66/8.75 | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) &
% 54.66/8.75 | | | | | | | | | | | ~ (all_26_31 = e11))
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | BETA: splitting (2597) gives:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | (2598) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22
% 54.66/8.75 | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | ALPHA: (2598) implies:
% 54.66/8.75 | | | | | | | | | | | | (2599) ~ (all_26_22 = e13)
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | REDUCE: (2550), (2599) imply:
% 54.66/8.75 | | | | | | | | | | | | (2600) $false
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | CLOSE: (2600) is inconsistent.
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | (2601) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.75 | | | | | | | | | | | | = e12) & ~ (all_26_31 = e11)
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | ALPHA: (2601) implies:
% 54.66/8.75 | | | | | | | | | | | | (2602) all_26_28 = e11
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | REF_CLOSE: (10), (2554), (2602) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | | #4.
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | (2603) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 =
% 54.66/8.75 | | | | | | | | | e10) & ~ (all_26_27 = e12)) | (all_26_25 = e13
% 54.66/8.75 | | | | | | | | | & all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.75 | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 & all_26_27
% 54.66/8.75 | | | | | | | | | = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 =
% 54.66/8.75 | | | | | | | | | e10)) | (all_26_26 = e10 & all_26_29 = e11 & ~
% 54.66/8.75 | | | | | | | | | (all_26_25 = e13) & ~ (all_26_30 = e10)) |
% 54.66/8.75 | | | | | | | | | (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 =
% 54.66/8.75 | | | | | | | | | e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10
% 54.66/8.75 | | | | | | | | | & all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 54.66/8.75 | | | | | | | | | (all_26_30 = e10))
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | BETA: splitting (2603) gives:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2604) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 54.66/8.75 | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 54.66/8.75 | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 54.66/8.75 | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.75 | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 54.66/8.75 | | | | | | | | | | (all_26_28 = e10))
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | BETA: splitting (2604) gives:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2605) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 54.66/8.75 | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | ALPHA: (2605) implies:
% 54.66/8.75 | | | | | | | | | | | (2606) all_26_28 = e10
% 54.66/8.75 | | | | | | | | | | | (2607) all_26_25 = e13
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | COMBINE_EQS: (551), (2607) imply:
% 54.66/8.75 | | | | | | | | | | | (2608) e13 = e12
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | COMBINE_EQS: (2554), (2606) imply:
% 54.66/8.75 | | | | | | | | | | | (2609) e13 = e10
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (8), (2608), (2609) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | #86.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2610) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26
% 54.66/8.75 | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 =
% 54.66/8.75 | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) &
% 54.66/8.75 | | | | | | | | | | | ~ (all_26_28 = e10))
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (7), (546), (551), (797), (2610) are inconsistent
% 54.66/8.75 | | | | | | | | | | | by sub-proof #2.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2611) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 54.66/8.75 | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 =
% 54.66/8.75 | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 54.66/8.75 | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.75 | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 54.66/8.75 | | | | | | | | | | (all_26_30 = e10))
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | BETA: splitting (2611) gives:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2612) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 54.66/8.75 | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | ALPHA: (2612) implies:
% 54.66/8.75 | | | | | | | | | | | (2613) all_26_26 = e10
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REF_CLOSE: (7), (546), (2613) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | #85.
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2614) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 54.66/8.75 | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 =
% 54.66/8.75 | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) &
% 54.66/8.75 | | | | | | | | | | | ~ (all_26_30 = e10))
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | BETA: splitting (2614) gives:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | (2615) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 54.66/8.75 | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | REF_CLOSE: (446), (793), (2615) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | | | #1.
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | (2616) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27
% 54.66/8.75 | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10)
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | ALPHA: (2616) implies:
% 54.66/8.75 | | | | | | | | | | | | (2617) all_26_28 = e10
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | COMBINE_EQS: (2554), (2617) imply:
% 54.66/8.75 | | | | | | | | | | | | (2618) e13 = e10
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | SIMP: (2618) implies:
% 54.66/8.75 | | | | | | | | | | | | (2619) e13 = e10
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | REDUCE: (9), (2619) imply:
% 54.66/8.75 | | | | | | | | | | | | (2620) $false
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | CLOSE: (2620) is inconsistent.
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | End of split
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | End of split
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | Case 2:
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | (2621) ~ (all_22_6 = e13)
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | REDUCE: (584), (2621) imply:
% 54.66/8.75 | | | | | | | (2622) ~ (all_12_2 = e13)
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | BETA: splitting (290) gives:
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | (2623) all_22_0 = e13
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | COMBINE_EQS: (603), (2623) imply:
% 54.66/8.75 | | | | | | | | (2624) e13 = e11
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | REDUCE: (10), (2624) imply:
% 54.66/8.75 | | | | | | | | (2625) $false
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | CLOSE: (2625) is inconsistent.
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | (2626) all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | BETA: splitting (2626) gives:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | (2627) all_22_2 = e13
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | REF_CLOSE: (583), (2555), (2627) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | #60.
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | (2628) all_22_6 = e13 | all_22_12 = e13
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | BETA: splitting (2628) gives:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2629) all_22_6 = e13
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | REF_CLOSE: (584), (2622), (2629) are inconsistent by
% 54.66/8.75 | | | | | | | | | | sub-proof #106.
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2630) all_22_12 = e13
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | REF_CLOSE: (426), (787), (2630) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | | | #16.
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | End of split
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | End of split
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | End of split
% 54.66/8.75 | | | | | |
% 54.66/8.75 | | | | | Case 2:
% 54.66/8.75 | | | | | |
% 54.66/8.75 | | | | | | (2631) ~ (all_16_5 = e13)
% 54.66/8.75 | | | | | |
% 54.66/8.75 | | | | | | REDUCE: (655), (2631) imply:
% 54.66/8.75 | | | | | | (2632) ~ (all_12_5 = e13)
% 54.66/8.75 | | | | | |
% 54.66/8.75 | | | | | | BETA: splitting (287) gives:
% 54.66/8.75 | | | | | |
% 54.66/8.75 | | | | | | Case 1:
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | (2633) all_22_1 = e13
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | COMBINE_EQS: (2536), (2633) imply:
% 54.66/8.75 | | | | | | | (2634) e13 = e10
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | REDUCE: (9), (2634) imply:
% 54.66/8.75 | | | | | | | (2635) $false
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | CLOSE: (2635) is inconsistent.
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | Case 2:
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | (2636) all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | BETA: splitting (2636) gives:
% 54.66/8.75 | | | | | | |
% 54.66/8.75 | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | (2637) all_22_3 = e13
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | REF_CLOSE: (607), (2632), (2637) are inconsistent by sub-proof
% 54.66/8.75 | | | | | | | | #59.
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | (2638) all_22_7 = e13 | all_22_13 = e13
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | BETA: splitting (2638) gives:
% 54.66/8.75 | | | | | | | |
% 54.66/8.75 | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | (2639) all_22_7 = e13
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | COMBINE_EQS: (590), (2639) imply:
% 54.66/8.75 | | | | | | | | | (2640) all_12_6 = e13
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | SIMP: (2640) implies:
% 54.66/8.75 | | | | | | | | | (2641) all_12_6 = e13
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | COMBINE_EQS: (564), (2641) imply:
% 54.66/8.75 | | | | | | | | | (2642) all_26_20 = e13
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | REDUCE: (88), (2641) imply:
% 54.66/8.75 | | | | | | | | | (2643) ~ (all_12_2 = e13)
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | REDUCE: (72), (2641) imply:
% 54.66/8.75 | | | | | | | | | (2644) ~ (all_12_10 = e13)
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | SIMP: (2644) implies:
% 54.66/8.75 | | | | | | | | | (2645) ~ (all_12_10 = e13)
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | BETA: splitting (290) gives:
% 54.66/8.75 | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2646) all_22_0 = e13
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | COMBINE_EQS: (603), (2646) imply:
% 54.66/8.75 | | | | | | | | | | (2647) e13 = e11
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | REDUCE: (10), (2647) imply:
% 54.66/8.75 | | | | | | | | | | (2648) $false
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | CLOSE: (2648) is inconsistent.
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | (2649) all_22_2 = e13 | all_22_6 = e13 | all_22_12 = e13
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | BETA: splitting (2649) gives:
% 54.66/8.75 | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | (2650) all_22_2 = e13
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | COMBINE_EQS: (583), (2650) imply:
% 54.66/8.75 | | | | | | | | | | | (2651) all_12_1 = e13
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | SIMP: (2651) implies:
% 54.66/8.75 | | | | | | | | | | | (2652) all_12_1 = e13
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | COMBINE_EQS: (554), (2652) imply:
% 54.66/8.75 | | | | | | | | | | | (2653) all_26_16 = e13
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | REDUCE: (91), (2652) imply:
% 54.66/8.75 | | | | | | | | | | | (2654) ~ (all_12_5 = e13)
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | BETA: splitting (341) gives:
% 54.66/8.75 | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | (2655) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.75 | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 54.66/8.75 | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 54.66/8.75 | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.75 | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 54.66/8.75 | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 54.66/8.75 | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.75 | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 &
% 54.66/8.75 | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 &
% 54.66/8.75 | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.75 | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 54.66/8.75 | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 54.66/8.75 | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.75 | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.75 | | | | | | | | | | | | (all_26_31 = e12))
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | BETA: splitting (2655) gives:
% 54.66/8.75 | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | (2656) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.75 | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 54.66/8.75 | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 54.66/8.75 | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.75 | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.75 | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 &
% 54.66/8.75 | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.75 | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 &
% 54.66/8.75 | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.75 | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.75 | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.75 | | | | | | | | | | | | | (all_26_31 = e13))
% 54.66/8.75 | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 54.66/8.75 | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | (2657) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.75 | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 =
% 54.66/8.75 | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 54.66/8.75 | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.75 | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.66/8.75 | | | | | | | | | | | | | | (all_26_30 = e13))
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | BETA: splitting (2657) gives:
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | (2658) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.75 | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | ALPHA: (2658) implies:
% 54.66/8.75 | | | | | | | | | | | | | | | (2659) all_26_16 = e12
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | REF_CLOSE: (797), (2653), (2659) are inconsistent by
% 54.66/8.75 | | | | | | | | | | | | | | | sub-proof #80.
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | (2660) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.75 | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)) | (all_26_17 =
% 54.66/8.75 | | | | | | | | | | | | | | | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) &
% 54.66/8.75 | | | | | | | | | | | | | | | ~ (all_26_30 = e13))
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | | (2661) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.75 | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | | ALPHA: (2661) implies:
% 54.66/8.75 | | | | | | | | | | | | | | | | (2662) all_26_16 = e12
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | | REF_CLOSE: (797), (2653), (2662) are inconsistent by
% 54.66/8.75 | | | | | | | | | | | | | | | | sub-proof #80.
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | | (2663) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16
% 54.66/8.75 | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e13)
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | | ALPHA: (2663) implies:
% 54.66/8.75 | | | | | | | | | | | | | | | | (2664) all_26_28 = e13
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | | REF_CLOSE: (555), (2632), (2664) are inconsistent by
% 54.66/8.75 | | | | | | | | | | | | | | | | sub-proof #102.
% 54.66/8.75 | | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | End of split
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | (2665) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.75 | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)) | (all_26_18 =
% 54.66/8.75 | | | | | | | | | | | | | | e10 & all_26_28 = e13 & ~ (all_26_16 = e12) &
% 54.66/8.75 | | | | | | | | | | | | | | ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.75 | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.75 | | | | | | | | | | | | | | (all_26_31 = e13))
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | BETA: splitting (2665) gives:
% 54.66/8.75 | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | Case 1:
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | (2666) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18
% 54.66/8.75 | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | ALPHA: (2666) implies:
% 54.66/8.75 | | | | | | | | | | | | | | | (2667) all_26_17 = e11
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | COMBINE_EQS: (562), (2667) imply:
% 54.66/8.75 | | | | | | | | | | | | | | | (2668) all_12_2 = e11
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | SIMP: (2668) implies:
% 54.66/8.75 | | | | | | | | | | | | | | | (2669) all_12_2 = e11
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | REDUCE: (778), (2669) imply:
% 54.66/8.75 | | | | | | | | | | | | | | | (2670) $false
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | | CLOSE: (2670) is inconsistent.
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.75 | | | | | | | | | | | | | | Case 2:
% 54.66/8.75 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2671) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16
% 54.66/8.76 | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)) | (all_26_18 =
% 54.66/8.76 | | | | | | | | | | | | | | | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) &
% 54.66/8.76 | | | | | | | | | | | | | | | ~ (all_26_31 = e13))
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | BETA: splitting (2671) gives:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | (2672) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16
% 54.66/8.76 | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | ALPHA: (2672) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2673) all_26_28 = e13
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REF_CLOSE: (555), (2632), (2673) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | | | | | sub-proof #102.
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | (2674) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17
% 54.66/8.76 | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e13)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | ALPHA: (2674) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2675) all_26_30 = e13
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REF_CLOSE: (434), (2645), (2675) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | | | | | sub-proof #8.
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | (2676) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20
% 54.66/8.76 | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 =
% 54.66/8.76 | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_31 = e12))
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | BETA: splitting (2676) gives:
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | (2677) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20
% 54.66/8.76 | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 =
% 54.66/8.76 | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.76 | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | | (all_26_30 = e12))
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (413), (546), (786), (2537), (2677) are
% 54.66/8.76 | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | (2678) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21
% 54.66/8.76 | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12)) | (all_26_21 =
% 54.66/8.76 | | | | | | | | | | | | | | e10 & all_26_26 = e12 & ~ (all_26_19 = e13) &
% 54.66/8.76 | | | | | | | | | | | | | | ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.76 | | | | | | | | | | | | | | (all_26_31 = e12))
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | BETA: splitting (2678) gives:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2679) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21
% 54.66/8.76 | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12)
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | ALPHA: (2679) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | (2680) all_26_31 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | (2681) all_26_20 = e11
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | COMBINE_EQS: (2642), (2681) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | (2682) e13 = e11
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | SIMP: (2682) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | (2683) e13 = e11
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2680) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | (2684) e13 = e12
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | SIMP: (2684) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | (2685) e13 = e12
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | COMBINE_EQS: (2683), (2685) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | (2686) e12 = e11
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REDUCE: (786), (2686) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | (2687) $false
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | CLOSE: (2687) is inconsistent.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2688) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19
% 54.66/8.76 | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12)) | (all_26_21 =
% 54.66/8.76 | | | | | | | | | | | | | | | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.66/8.76 | | | | | | | | | | | | | | | ~ (all_26_31 = e12))
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REF_CLOSE: (423), (546), (786), (2543), (2688) are
% 54.66/8.76 | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | (2689) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.76 | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 54.66/8.76 | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.76 | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.76 | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 54.66/8.76 | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 54.66/8.76 | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.76 | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 &
% 54.66/8.76 | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 &
% 54.66/8.76 | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.76 | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 54.66/8.76 | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 54.66/8.76 | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.76 | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 54.66/8.76 | | | | | | | | | | | | (all_26_30 = e10))
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | BETA: splitting (2689) gives:
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | (2690) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.76 | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 54.66/8.76 | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_31 = e11))
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | BETA: splitting (2690) gives:
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | (2691) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.76 | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 =
% 54.66/8.76 | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.76 | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | | (all_26_28 = e11))
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | BETA: splitting (2691) gives:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2692) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.76 | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | ALPHA: (2692) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | (2693) ~ (all_26_26 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REDUCE: (546), (2693) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | (2694) $false
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | CLOSE: (2694) is inconsistent.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2695) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24
% 54.66/8.76 | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 =
% 54.66/8.76 | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.76 | | | | | | | | | | | | | | | ~ (all_26_28 = e11))
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REF_CLOSE: (10), (413), (2550), (2695) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | | | | sub-proof #3.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | (2696) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 54.66/8.76 | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 =
% 54.66/8.76 | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.76 | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.76 | | | | | | | | | | | | | | (all_26_31 = e11))
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2697) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24
% 54.66/8.76 | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | ALPHA: (2697) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | (2698) all_26_31 = e11
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REF_CLOSE: (10), (413), (2698) are inconsistent by sub-proof
% 54.66/8.76 | | | | | | | | | | | | | | | #74.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2699) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22
% 54.66/8.76 | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 =
% 54.66/8.76 | | | | | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) &
% 54.66/8.76 | | | | | | | | | | | | | | | ~ (all_26_31 = e11))
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | BETA: splitting (2699) gives:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | (2700) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22
% 54.66/8.76 | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | ALPHA: (2700) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2701) ~ (all_26_22 = e13)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REDUCE: (2550), (2701) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2702) $false
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | CLOSE: (2702) is inconsistent.
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | (2703) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23
% 54.66/8.76 | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | ALPHA: (2703) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2704) all_26_28 = e11
% 54.66/8.76 | | | | | | | | | | | | | | | | (2705) ~ (all_26_23 = e12)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (2704) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2706) all_12_5 = e11
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | SIMP: (2706) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2707) all_12_5 = e11
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2707) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2708) all_22_3 = e11
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REDUCE: (558), (2705) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2709) ~ (all_12_9 = e12)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REDUCE: (74), (2707) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2710) ~ (all_12_13 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | SIMP: (2710) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | (2711) ~ (all_12_13 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | (2712) all_22_2 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | REF_CLOSE: (797), (2650), (2712) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | | | | | | sub-proof #68.
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | (2713) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | BETA: splitting (939) gives:
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | (2714) all_16_7 = e10
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (2714) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | (2715) all_12_13 = e10
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (2715) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | (2716) all_22_10 = e10
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | BETA: splitting (2713) gives:
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | (2717) all_22_3 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2708), (2717) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | (2718) e12 = e11
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | REDUCE: (786), (2718) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | (2719) $false
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | CLOSE: (2719) is inconsistent.
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | (2720) all_22_5 = e12 | all_22_10 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (2720) gives:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2721) all_22_5 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (2721) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2722) all_12_9 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | SIMP: (2722) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2723) all_12_9 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (2709), (2723) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2724) $false
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | CLOSE: (2724) is inconsistent.
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2725) all_22_10 = e12
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2716), (2725) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2726) e12 = e10
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2726) imply:
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | (2727) $false
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | | CLOSE: (2727) is inconsistent.
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | (2728) all_16_7 = e12 | all_16_7 = e11
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | | REF_CLOSE: (666), (793), (2711), (2728) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | | | | | | | sub-proof #61.
% 54.66/8.76 | | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | (2729) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 54.66/8.76 | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 54.66/8.76 | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 54.66/8.76 | | | | | | | | | | | | | (all_26_30 = e10))
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | BETA: splitting (2729) gives:
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | (2730) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 54.66/8.76 | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 =
% 54.66/8.76 | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 54.66/8.76 | | | | | | | | | | | | | | (all_26_28 = e10))
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | BETA: splitting (2730) gives:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2731) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26
% 54.66/8.76 | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REF_CLOSE: (551), (797), (2731) are inconsistent by sub-proof
% 54.66/8.76 | | | | | | | | | | | | | | | #87.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2732) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26
% 54.66/8.76 | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 =
% 54.66/8.76 | | | | | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) &
% 54.66/8.76 | | | | | | | | | | | | | | | ~ (all_26_28 = e10))
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (551), (797), (2732) are inconsistent
% 54.66/8.76 | | | | | | | | | | | | | | | by sub-proof #2.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | (2733) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 54.66/8.76 | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 =
% 54.66/8.76 | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 54.66/8.76 | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.76 | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 54.66/8.76 | | | | | | | | | | | | | | (all_26_30 = e10))
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2734) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25
% 54.66/8.76 | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | ALPHA: (2734) implies:
% 54.66/8.76 | | | | | | | | | | | | | | | (2735) all_26_26 = e10
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | REF_CLOSE: (7), (546), (2735) are inconsistent by sub-proof
% 54.66/8.76 | | | | | | | | | | | | | | | #85.
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | (2736) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 54.66/8.76 | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 =
% 54.66/8.76 | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) &
% 54.66/8.76 | | | | | | | | | | | | | | | ~ (all_26_30 = e10))
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | BETA: splitting (2736) gives:
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | (2737) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28
% 54.66/8.76 | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REF_CLOSE: (446), (793), (2737) are inconsistent by sub-proof
% 54.66/8.76 | | | | | | | | | | | | | | | | #1.
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | (2738) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27
% 54.66/8.76 | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10)
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | | REF_CLOSE: (555), (2539), (2738) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | | | | | sub-proof #83.
% 54.66/8.76 | | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | (2739) all_22_6 = e13 | all_22_12 = e13
% 54.66/8.76 | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | BETA: splitting (2739) gives:
% 54.66/8.76 | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | (2740) all_22_6 = e13
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | REF_CLOSE: (584), (2643), (2740) are inconsistent by
% 54.66/8.76 | | | | | | | | | | | | sub-proof #106.
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | (2741) all_22_12 = e13
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | | REF_CLOSE: (426), (787), (2741) are inconsistent by sub-proof
% 54.66/8.76 | | | | | | | | | | | | #16.
% 54.66/8.76 | | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | | |
% 54.66/8.76 | | | | | | | | | End of split
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | (2742) all_22_13 = e13
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | COMBINE_EQS: (592), (2742) imply:
% 54.66/8.76 | | | | | | | | | (2743) all_12_7 = e13
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | SIMP: (2743) implies:
% 54.66/8.76 | | | | | | | | | (2744) all_12_7 = e13
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | REDUCE: (789), (2744) imply:
% 54.66/8.76 | | | | | | | | | (2745) $false
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | CLOSE: (2745) is inconsistent.
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | End of split
% 54.66/8.76 | | | | | | | |
% 54.66/8.76 | | | | | | | End of split
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | End of split
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | End of split
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | Case 2:
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | (2746) all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | BETA: splitting (2746) gives:
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | Case 1:
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | (2747) all_16_2 = e10
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | COMBINE_EQS: (656), (2747) imply:
% 54.66/8.76 | | | | | | (2748) all_12_8 = e10
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | REDUCE: (2545), (2748) imply:
% 54.66/8.76 | | | | | | (2749) $false
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | CLOSE: (2749) is inconsistent.
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | Case 2:
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | (2750) all_16_2 = e12 | all_16_2 = e11
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | BETA: splitting (2750) gives:
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | Case 1:
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | (2751) all_16_2 = e12
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | COMBINE_EQS: (656), (2751) imply:
% 54.66/8.76 | | | | | | | (2752) all_12_8 = e12
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | REDUCE: (790), (2752) imply:
% 54.66/8.76 | | | | | | | (2753) $false
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | CLOSE: (2753) is inconsistent.
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | Case 2:
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | (2754) all_16_2 = e11
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | COMBINE_EQS: (656), (2754) imply:
% 54.66/8.76 | | | | | | | (2755) all_12_8 = e11
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | REDUCE: (784), (2755) imply:
% 54.66/8.76 | | | | | | | (2756) $false
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | CLOSE: (2756) is inconsistent.
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | End of split
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | End of split
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | End of split
% 54.66/8.76 | | | |
% 54.66/8.76 | | | Case 2:
% 54.66/8.76 | | | |
% 54.66/8.76 | | | | (2757) ~ (all_16_1 = e10)
% 54.66/8.76 | | | |
% 54.66/8.76 | | | | REDUCE: (651), (2757) imply:
% 54.66/8.76 | | | | (2758) ~ (all_12_4 = e10)
% 54.66/8.76 | | | |
% 54.66/8.76 | | | | BETA: splitting (288) gives:
% 54.66/8.76 | | | |
% 54.66/8.76 | | | | Case 1:
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | (2759) all_22_0 = e10
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | REF_CLOSE: (7), (603), (2759) are inconsistent by sub-proof #108.
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | Case 2:
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | (2760) all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | BETA: splitting (291) gives:
% 54.66/8.76 | | | | |
% 54.66/8.76 | | | | | Case 1:
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | (2761) all_22_0 = e13
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | COMBINE_EQS: (603), (2761) imply:
% 54.66/8.76 | | | | | | (2762) e13 = e11
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | REDUCE: (10), (2762) imply:
% 54.66/8.76 | | | | | | (2763) $false
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | CLOSE: (2763) is inconsistent.
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | Case 2:
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | (2764) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | BETA: splitting (2764) gives:
% 54.66/8.76 | | | | | |
% 54.66/8.76 | | | | | | Case 1:
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | (2765) all_22_1 = e13
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | COMBINE_EQS: (589), (2765) imply:
% 54.66/8.76 | | | | | | | (2766) all_12_4 = e13
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | SIMP: (2766) implies:
% 54.66/8.76 | | | | | | | (2767) all_12_4 = e13
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | REDUCE: (2533), (2767) imply:
% 54.66/8.76 | | | | | | | (2768) $false
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | CLOSE: (2768) is inconsistent.
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | Case 2:
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | (2769) all_22_4 = e13 | all_22_9 = e13
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | BETA: splitting (2769) gives:
% 54.66/8.76 | | | | | | |
% 54.66/8.76 | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | |
% 54.66/8.76 | | | | | | | | (2770) all_22_4 = e13
% 54.66/8.76 | | | | | | | |
% 54.66/8.76 | | | | | | | | BETA: splitting (2760) gives:
% 54.66/8.76 | | | | | | | |
% 54.66/8.76 | | | | | | | | Case 1:
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | (2771) all_22_1 = e10
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | COMBINE_EQS: (589), (2771) imply:
% 54.66/8.76 | | | | | | | | | (2772) all_12_4 = e10
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | SIMP: (2772) implies:
% 54.66/8.76 | | | | | | | | | (2773) all_12_4 = e10
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | REDUCE: (2758), (2773) imply:
% 54.66/8.76 | | | | | | | | | (2774) $false
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | | CLOSE: (2774) is inconsistent.
% 54.66/8.76 | | | | | | | | |
% 54.66/8.76 | | | | | | | | Case 2:
% 54.66/8.76 | | | | | | | | |
% 54.66/8.77 | | | | | | | | | (2775) all_22_4 = e10 | all_22_9 = e10
% 54.66/8.77 | | | | | | | | |
% 54.66/8.77 | | | | | | | | | BETA: splitting (2775) gives:
% 54.66/8.77 | | | | | | | | |
% 54.66/8.77 | | | | | | | | | Case 1:
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | (2776) all_22_4 = e10
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | COMBINE_EQS: (2770), (2776) imply:
% 54.66/8.77 | | | | | | | | | | (2777) e13 = e10
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | SIMP: (2777) implies:
% 54.66/8.77 | | | | | | | | | | (2778) e13 = e10
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | REDUCE: (9), (2778) imply:
% 54.66/8.77 | | | | | | | | | | (2779) $false
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | CLOSE: (2779) is inconsistent.
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | Case 2:
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | (2780) all_22_9 = e10
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | | REF_CLOSE: (8), (601), (2780) are inconsistent by sub-proof
% 54.66/8.77 | | | | | | | | | | #9.
% 54.66/8.77 | | | | | | | | | |
% 54.66/8.77 | | | | | | | | | End of split
% 54.66/8.77 | | | | | | | | |
% 54.66/8.77 | | | | | | | | End of split
% 54.66/8.77 | | | | | | | |
% 54.66/8.77 | | | | | | | Case 2:
% 54.66/8.77 | | | | | | | |
% 54.66/8.77 | | | | | | | | (2781) all_22_9 = e13
% 54.66/8.77 | | | | | | | |
% 54.66/8.77 | | | | | | | | COMBINE_EQS: (601), (2781) imply:
% 54.66/8.77 | | | | | | | | (2782) e13 = e12
% 54.66/8.77 | | | | | | | |
% 54.66/8.77 | | | | | | | | REDUCE: (797), (2782) imply:
% 54.66/8.77 | | | | | | | | (2783) $false
% 54.66/8.77 | | | | | | | |
% 54.66/8.77 | | | | | | | | CLOSE: (2783) is inconsistent.
% 54.66/8.77 | | | | | | | |
% 54.66/8.77 | | | | | | | End of split
% 54.66/8.77 | | | | | | |
% 54.66/8.77 | | | | | | End of split
% 54.66/8.77 | | | | | |
% 54.66/8.77 | | | | | End of split
% 54.66/8.77 | | | | |
% 54.66/8.77 | | | | End of split
% 54.66/8.77 | | | |
% 54.66/8.77 | | | End of split
% 54.66/8.77 | | |
% 54.66/8.77 | | End of split
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #1 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 = e10) & ~ (all_26_29
% 54.66/8.77 = e11)
% 54.66/8.77 (2) all_26_27 = all_12_13
% 54.66/8.77 (3) ~ (all_12_13 = e12)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | ALPHA: (1) implies:
% 54.66/8.77 | (4) all_26_27 = e12
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.77 | (5) all_12_13 = e12
% 54.66/8.77 |
% 54.66/8.77 | SIMP: (5) implies:
% 54.66/8.77 | (6) all_12_13 = e12
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (6) imply:
% 54.66/8.77 | (7) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (7) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #2 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_25 = e12
% 54.66/8.77 (2) all_26_26 = e11
% 54.66/8.77 (3) ~ (e13 = e12)
% 54.66/8.77 (4) ~ (e11 = e10)
% 54.66/8.77 (5) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & ~ (all_26_29
% 54.66/8.77 = e11)) | (all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 = e13) &
% 54.66/8.77 ~ (all_26_28 = e10))
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | BETA: splitting (5) gives:
% 54.66/8.77 |
% 54.66/8.77 | Case 1:
% 54.66/8.77 | |
% 54.66/8.77 | | (6) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.77 | | (all_26_29 = e11)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (6) implies:
% 54.66/8.77 | | (7) all_26_25 = e13
% 54.66/8.77 | |
% 54.66/8.77 | | COMBINE_EQS: (1), (7) imply:
% 54.66/8.77 | | (8) e13 = e12
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (3), (8) imply:
% 54.66/8.77 | | (9) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (9) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | Case 2:
% 54.66/8.77 | |
% 54.66/8.77 | | (10) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 54.66/8.77 | | (all_26_28 = e10)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (10) implies:
% 54.66/8.77 | | (11) all_26_26 = e10
% 54.66/8.77 | |
% 54.66/8.77 | | REF_CLOSE: (2), (4), (11) are inconsistent by sub-proof #85.
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #3 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ (all_26_26
% 54.66/8.77 = e11)) | (all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.77 ~ (all_26_28 = e11))
% 54.66/8.77 (2) all_26_31 = e13
% 54.66/8.77 (3) ~ (e13 = e11)
% 54.66/8.77 (4) all_26_22 = e13
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | BETA: splitting (1) gives:
% 54.66/8.77 |
% 54.66/8.77 | Case 1:
% 54.66/8.77 | |
% 54.66/8.77 | | (5) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.77 | | (all_26_26 = e11)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (5) implies:
% 54.66/8.77 | | (6) all_26_31 = e11
% 54.66/8.77 | |
% 54.66/8.77 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #74.
% 54.66/8.77 | |
% 54.66/8.77 | Case 2:
% 54.66/8.77 | |
% 54.66/8.77 | | (7) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.66/8.77 | | (all_26_28 = e11)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (7) implies:
% 54.66/8.77 | | (8) ~ (all_26_22 = e13)
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (4), (8) imply:
% 54.66/8.77 | | (9) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (9) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #4 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_28 = e13
% 54.66/8.77 (2) all_26_28 = e11
% 54.66/8.77 (3) ~ (e13 = e11)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.77 | (4) e13 = e11
% 54.66/8.77 |
% 54.66/8.77 | SIMP: (4) implies:
% 54.66/8.77 | (5) e13 = e11
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #5 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_26 = e11
% 54.66/8.77 (2) ~ (e12 = e11)
% 54.66/8.77 (3) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_31
% 54.66/8.77 = e12)) | (all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.66/8.77 ~ (all_26_31 = e12))
% 54.66/8.77 (4) all_26_21 = all_12_7
% 54.66/8.77 (5) ~ (all_12_7 = e10)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | BETA: splitting (3) gives:
% 54.66/8.77 |
% 54.66/8.77 | Case 1:
% 54.66/8.77 | |
% 54.66/8.77 | | (6) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.77 | | (all_26_31 = e12)
% 54.66/8.77 | |
% 54.66/8.77 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #96.
% 54.66/8.77 | |
% 54.66/8.77 | Case 2:
% 54.66/8.77 | |
% 54.66/8.77 | | (7) all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.77 | | (all_26_31 = e12)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (7) implies:
% 54.66/8.77 | | (8) all_26_21 = e10
% 54.66/8.77 | |
% 54.66/8.77 | | COMBINE_EQS: (4), (8) imply:
% 54.66/8.77 | | (9) all_12_7 = e10
% 54.66/8.77 | |
% 54.66/8.77 | | SIMP: (9) implies:
% 54.66/8.77 | | (10) all_12_7 = e10
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (5), (10) imply:
% 54.66/8.77 | | (11) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (11) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #6 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_26 = e11
% 54.66/8.77 (2) ~ (e12 = e11)
% 54.66/8.77 (3) all_26_31 = e13
% 54.66/8.77 (4) ~ (e12 = e10)
% 54.66/8.77 (5) ~ (e13 = e10)
% 54.66/8.77 (6) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_26
% 54.66/8.77 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.77 ~ (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 = e12 & ~
% 54.66/8.77 (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.66/8.77 (7) all_26_19 = e10
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | BETA: splitting (6) gives:
% 54.66/8.77 |
% 54.66/8.77 | Case 1:
% 54.66/8.77 | |
% 54.66/8.77 | | (8) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.77 | | (all_26_26 = e12)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (8) implies:
% 54.66/8.77 | | (9) all_26_19 = e13
% 54.66/8.77 | |
% 54.66/8.77 | | COMBINE_EQS: (7), (9) imply:
% 54.66/8.77 | | (10) e13 = e10
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (5), (10) imply:
% 54.66/8.77 | | (11) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (11) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | Case 2:
% 54.66/8.77 | |
% 54.66/8.77 | | (12) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.77 | | (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 = e12 & ~
% 54.66/8.77 | | (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.66/8.77 | |
% 54.66/8.77 | | BETA: splitting (12) gives:
% 54.66/8.77 | |
% 54.66/8.77 | | Case 1:
% 54.66/8.77 | | |
% 54.66/8.77 | | | (13) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.77 | | | (all_26_26 = e12)
% 54.66/8.77 | | |
% 54.66/8.77 | | | ALPHA: (13) implies:
% 54.66/8.77 | | | (14) all_26_31 = e12
% 54.66/8.77 | | | (15) all_26_19 = e13
% 54.66/8.77 | | |
% 54.66/8.77 | | | COMBINE_EQS: (7), (15) imply:
% 54.66/8.77 | | | (16) e13 = e10
% 54.66/8.77 | | |
% 54.66/8.77 | | | COMBINE_EQS: (3), (14) imply:
% 54.66/8.77 | | | (17) e13 = e12
% 54.66/8.77 | | |
% 54.66/8.77 | | | SIMP: (17) implies:
% 54.66/8.77 | | | (18) e13 = e12
% 54.66/8.77 | | |
% 54.66/8.77 | | | REF_CLOSE: (4), (16), (18) are inconsistent by sub-proof #64.
% 54.66/8.77 | | |
% 54.66/8.77 | | Case 2:
% 54.66/8.77 | | |
% 54.66/8.77 | | | (19) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.66/8.77 | | | (all_26_30 = e12)
% 54.66/8.77 | | |
% 54.66/8.77 | | | REF_CLOSE: (1), (2), (19) are inconsistent by sub-proof #98.
% 54.66/8.77 | | |
% 54.66/8.77 | | End of split
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #7 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_17 = e13
% 54.66/8.77 (2) all_26_17 = e11
% 54.66/8.77 (3) ~ (e13 = e11)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.77 | (4) e13 = e11
% 54.66/8.77 |
% 54.66/8.77 | SIMP: (4) implies:
% 54.66/8.77 | (5) e13 = e11
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #8 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_26_30 = all_12_10
% 54.66/8.77 (2) all_26_30 = e13
% 54.66/8.77 (3) ~ (all_12_10 = e13)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.77 | (4) all_12_10 = e13
% 54.66/8.77 |
% 54.66/8.77 | SIMP: (4) implies:
% 54.66/8.77 | (5) all_12_10 = e13
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #9 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_22_9 = e12
% 54.66/8.77 (2) all_22_9 = e10
% 54.66/8.77 (3) ~ (e12 = e10)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.77 | (4) e12 = e10
% 54.66/8.77 |
% 54.66/8.77 | SIMP: (4) implies:
% 54.66/8.77 | (5) e12 = e10
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #10 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 = e20) & ~ (all_24_29
% 54.66/8.77 = e21)
% 54.66/8.77 (2) all_24_27 = all_14_13
% 54.66/8.77 (3) ~ (all_14_13 = e22)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | ALPHA: (1) implies:
% 54.66/8.77 | (4) all_24_27 = e22
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.77 | (5) all_14_13 = e22
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #11 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~ (all_24_28
% 54.66/8.77 = e21)
% 54.66/8.77 (2) all_24_31 = e23
% 54.66/8.77 (3) ~ (e23 = e21)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | ALPHA: (1) implies:
% 54.66/8.77 | (4) all_24_31 = e21
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.77 | (5) e23 = e21
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #12 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~ (all_24_26
% 54.66/8.77 = e21)) | (all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22 = e23) &
% 54.66/8.77 ~ (all_24_28 = e21))
% 54.66/8.77 (2) all_24_31 = e23
% 54.66/8.77 (3) ~ (e23 = e21)
% 54.66/8.77 (4) all_24_22 = e23
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | BETA: splitting (1) gives:
% 54.66/8.77 |
% 54.66/8.77 | Case 1:
% 54.66/8.77 | |
% 54.66/8.77 | | (5) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~
% 54.66/8.77 | | (all_24_26 = e21)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (5) implies:
% 54.66/8.77 | | (6) all_24_31 = e21
% 54.66/8.77 | |
% 54.66/8.77 | | COMBINE_EQS: (2), (6) imply:
% 54.66/8.77 | | (7) e23 = e21
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (3), (7) imply:
% 54.66/8.77 | | (8) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (8) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | Case 2:
% 54.66/8.77 | |
% 54.66/8.77 | | (9) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.66/8.77 | | (all_24_28 = e21)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (9) implies:
% 54.66/8.77 | | (10) ~ (all_24_22 = e23)
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (4), (10) imply:
% 54.66/8.77 | | (11) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (11) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #13 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_24_28 = e23
% 54.66/8.77 (2) all_24_28 = e21
% 54.66/8.77 (3) ~ (e23 = e21)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.77 | (4) e23 = e21
% 54.66/8.77 |
% 54.66/8.77 | SIMP: (4) implies:
% 54.66/8.77 | (5) e23 = e21
% 54.66/8.77 |
% 54.66/8.77 | REDUCE: (3), (5) imply:
% 54.66/8.77 | (6) $false
% 54.66/8.77 |
% 54.66/8.77 | CLOSE: (6) is inconsistent.
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #14 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) all_24_26 = e21
% 54.66/8.77 (2) ~ (all_14_7 = e20)
% 54.66/8.77 (3) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_31
% 54.66/8.77 = e22)) | (all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20 = e21) &
% 54.66/8.77 ~ (all_24_31 = e22))
% 54.66/8.77 (4) all_24_21 = all_14_7
% 54.66/8.77 (5) ~ (e22 = e21)
% 54.66/8.77
% 54.66/8.77 Begin of proof
% 54.66/8.77 |
% 54.66/8.77 | BETA: splitting (3) gives:
% 54.66/8.77 |
% 54.66/8.77 | Case 1:
% 54.66/8.77 | |
% 54.66/8.77 | | (6) all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.66/8.77 | | (all_24_31 = e22)
% 54.66/8.77 | |
% 54.66/8.77 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #43.
% 54.66/8.77 | |
% 54.66/8.77 | Case 2:
% 54.66/8.77 | |
% 54.66/8.77 | | (7) all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.66/8.77 | | (all_24_31 = e22)
% 54.66/8.77 | |
% 54.66/8.77 | | ALPHA: (7) implies:
% 54.66/8.77 | | (8) all_24_21 = e20
% 54.66/8.77 | |
% 54.66/8.77 | | COMBINE_EQS: (4), (8) imply:
% 54.66/8.77 | | (9) all_14_7 = e20
% 54.66/8.77 | |
% 54.66/8.77 | | REDUCE: (2), (9) imply:
% 54.66/8.77 | | (10) $false
% 54.66/8.77 | |
% 54.66/8.77 | | CLOSE: (10) is inconsistent.
% 54.66/8.77 | |
% 54.66/8.77 | End of split
% 54.66/8.77 |
% 54.66/8.77 End of proof
% 54.66/8.77
% 54.66/8.77 Sub-proof #15 shows that the following formulas are inconsistent:
% 54.66/8.77 ----------------------------------------------------------------
% 54.66/8.77 (1) ~ (e22 = e20)
% 54.66/8.77 (2) all_24_31 = e23
% 54.66/8.77 (3) ~ (e23 = e20)
% 54.66/8.77 (4) all_24_26 = e21
% 54.66/8.77 (5) all_24_19 = e20
% 54.66/8.78 (6) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_26
% 54.66/8.78 = e22)) | (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.66/8.78 ~ (all_24_26 = e22)) | (all_24_20 = e21 & all_24_26 = e22 & ~
% 54.66/8.78 (all_24_19 = e23) & ~ (all_24_30 = e22))
% 54.66/8.78 (7) ~ (e22 = e21)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | BETA: splitting (6) gives:
% 54.66/8.78 |
% 54.66/8.78 | Case 1:
% 54.66/8.78 | |
% 54.66/8.78 | | (8) all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.66/8.78 | | (all_24_26 = e22)
% 54.66/8.78 | |
% 54.66/8.78 | | ALPHA: (8) implies:
% 54.66/8.78 | | (9) all_24_19 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | COMBINE_EQS: (5), (9) imply:
% 54.66/8.78 | | (10) e23 = e20
% 54.66/8.78 | |
% 54.66/8.78 | | SIMP: (10) implies:
% 54.66/8.78 | | (11) e23 = e20
% 54.66/8.78 | |
% 54.66/8.78 | | REDUCE: (3), (11) imply:
% 54.66/8.78 | | (12) $false
% 54.66/8.78 | |
% 54.66/8.78 | | CLOSE: (12) is inconsistent.
% 54.66/8.78 | |
% 54.66/8.78 | Case 2:
% 54.66/8.78 | |
% 54.66/8.78 | | (13) (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.78 | | (all_24_26 = e22)) | (all_24_20 = e21 & all_24_26 = e22 & ~
% 54.66/8.78 | | (all_24_19 = e23) & ~ (all_24_30 = e22))
% 54.66/8.78 | |
% 54.66/8.78 | | BETA: splitting (13) gives:
% 54.66/8.78 | |
% 54.66/8.78 | | Case 1:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (14) all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.78 | | | (all_24_26 = e22)
% 54.66/8.78 | | |
% 54.66/8.78 | | | ALPHA: (14) implies:
% 54.66/8.78 | | | (15) all_24_31 = e22
% 54.66/8.78 | | | (16) all_24_19 = e23
% 54.66/8.78 | | |
% 54.66/8.78 | | | COMBINE_EQS: (5), (16) imply:
% 54.66/8.78 | | | (17) e23 = e20
% 54.66/8.78 | | |
% 54.66/8.78 | | | SIMP: (17) implies:
% 54.66/8.78 | | | (18) e23 = e20
% 54.66/8.78 | | |
% 54.66/8.78 | | | COMBINE_EQS: (2), (15) imply:
% 54.66/8.78 | | | (19) e23 = e22
% 54.66/8.78 | | |
% 54.66/8.78 | | | COMBINE_EQS: (18), (19) imply:
% 54.66/8.78 | | | (20) e22 = e20
% 54.66/8.78 | | |
% 54.66/8.78 | | | REDUCE: (1), (20) imply:
% 54.66/8.78 | | | (21) $false
% 54.66/8.78 | | |
% 54.66/8.78 | | | CLOSE: (21) is inconsistent.
% 54.66/8.78 | | |
% 54.66/8.78 | | Case 2:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (22) all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.66/8.78 | | | (all_24_30 = e22)
% 54.66/8.78 | | |
% 54.66/8.78 | | | REF_CLOSE: (4), (7), (22) are inconsistent by sub-proof #45.
% 54.66/8.78 | | |
% 54.66/8.78 | | End of split
% 54.66/8.78 | |
% 54.66/8.78 | End of split
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #16 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_22_12 = all_12_3
% 54.66/8.78 (2) all_22_12 = e13
% 54.66/8.78 (3) ~ (all_12_3 = e13)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.78 | (4) all_12_3 = e13
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (4) implies:
% 54.66/8.78 | (5) all_12_3 = e13
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #17 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) ~ (all_8_0 = e23)
% 54.66/8.78 (2) all_20_6 = e23 | all_20_12 = e23
% 54.66/8.78 (3) ~ (all_14_3 = e23)
% 54.66/8.78 (4) all_20_12 = all_14_3
% 54.66/8.78 (5) all_20_6 = all_8_0
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | BETA: splitting (2) gives:
% 54.66/8.78 |
% 54.66/8.78 | Case 1:
% 54.66/8.78 | |
% 54.66/8.78 | | (6) all_20_6 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | COMBINE_EQS: (5), (6) imply:
% 54.66/8.78 | | (7) all_8_0 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | SIMP: (7) implies:
% 54.66/8.78 | | (8) all_8_0 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | REDUCE: (1), (8) imply:
% 54.66/8.78 | | (9) $false
% 54.66/8.78 | |
% 54.66/8.78 | | CLOSE: (9) is inconsistent.
% 54.66/8.78 | |
% 54.66/8.78 | Case 2:
% 54.66/8.78 | |
% 54.66/8.78 | | (10) all_20_12 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | COMBINE_EQS: (4), (10) imply:
% 54.66/8.78 | | (11) all_14_3 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | SIMP: (11) implies:
% 54.66/8.78 | | (12) all_14_3 = e23
% 54.66/8.78 | |
% 54.66/8.78 | | REDUCE: (3), (12) imply:
% 54.66/8.78 | | (13) $false
% 54.66/8.78 | |
% 54.66/8.78 | | CLOSE: (13) is inconsistent.
% 54.66/8.78 | |
% 54.66/8.78 | End of split
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #18 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~ (all_24_30
% 54.66/8.78 = e23)
% 54.66/8.78 (2) all_24_17 = all_8_0
% 54.66/8.78 (3) ~ (all_8_0 = e21)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | ALPHA: (1) implies:
% 54.66/8.78 | (4) all_24_17 = e21
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.78 | (5) all_8_0 = e21
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #19 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) ~ (all_6_1 = e23)
% 54.66/8.78 (2) ~ (e23 = e22)
% 54.66/8.78 (3) all_24_16 = e23
% 54.66/8.78 (4) all_24_28 = all_6_1
% 54.66/8.78 (5) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_28
% 54.66/8.78 = e23)) | (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.66/8.78 ~ (all_24_28 = e23)) | (all_24_17 = e21 & all_24_28 = e23 & ~
% 54.66/8.78 (all_24_16 = e22) & ~ (all_24_30 = e23))
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | BETA: splitting (5) gives:
% 54.66/8.78 |
% 54.66/8.78 | Case 1:
% 54.66/8.78 | |
% 54.66/8.78 | | (6) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.66/8.78 | | (all_24_28 = e23)
% 54.66/8.78 | |
% 54.66/8.78 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #32.
% 54.66/8.78 | |
% 54.66/8.78 | Case 2:
% 54.66/8.78 | |
% 54.66/8.78 | | (7) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | (all_24_28 = e23)) | (all_24_17 = e21 & all_24_28 = e23 & ~
% 54.66/8.78 | | (all_24_16 = e22) & ~ (all_24_30 = e23))
% 54.66/8.78 | |
% 54.66/8.78 | | BETA: splitting (7) gives:
% 54.66/8.78 | |
% 54.66/8.78 | | Case 1:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (8) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | | (all_24_28 = e23)
% 54.66/8.78 | | |
% 54.66/8.78 | | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #31.
% 54.66/8.78 | | |
% 54.66/8.78 | | Case 2:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (9) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.66/8.78 | | | (all_24_30 = e23)
% 54.66/8.78 | | |
% 54.66/8.78 | | | ALPHA: (9) implies:
% 54.66/8.78 | | | (10) all_24_28 = e23
% 54.66/8.78 | | |
% 54.66/8.78 | | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #53.
% 54.66/8.78 | | |
% 54.66/8.78 | | End of split
% 54.66/8.78 | |
% 54.66/8.78 | End of split
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #20 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_20_14 = all_14_11
% 54.66/8.78 (2) all_20_14 = e20
% 54.66/8.78 (3) ~ (all_14_11 = e20)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.78 | (4) all_14_11 = e20
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (4) implies:
% 54.66/8.78 | (5) all_14_11 = e20
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #21 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_24_17 = e21
% 54.66/8.78 (2) all_24_17 = e20
% 54.66/8.78 (3) ~ (e21 = e20)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.78 | (4) e21 = e20
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (4) implies:
% 54.66/8.78 | (5) e21 = e20
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #22 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 = e20) & ~ (all_24_29
% 54.66/8.78 = e21)
% 54.66/8.78 (2) all_24_30 = e23
% 54.66/8.78 (3) ~ (e23 = e20)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | ALPHA: (1) implies:
% 54.66/8.78 | (4) all_24_30 = e20
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.78 | (5) e23 = e20
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (5) implies:
% 54.66/8.78 | (6) e23 = e20
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (6) imply:
% 54.66/8.78 | (7) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (7) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #23 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) e23 = e20
% 54.66/8.78 (2) e23 = e22
% 54.66/8.78 (3) ~ (e22 = e20)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (1) implies:
% 54.66/8.78 | (4) e23 = e20
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.78 | (5) e22 = e20
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #24 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~ (all_24_28
% 54.66/8.78 = e21)
% 54.66/8.78 (2) all_24_31 = e23
% 54.66/8.78 (3) ~ (e23 = e21)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | ALPHA: (1) implies:
% 54.66/8.78 | (4) all_24_31 = e21
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.78 | (5) e23 = e21
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (5) implies:
% 54.66/8.78 | (6) e23 = e21
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (6) imply:
% 54.66/8.78 | (7) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (7) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #25 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_18_7 = all_14_13
% 54.66/8.78 (2) all_18_7 = e22
% 54.66/8.78 (3) ~ (all_14_13 = e22)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.78 | (4) all_14_13 = e22
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (4) implies:
% 54.66/8.78 | (5) all_14_13 = e22
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #26 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_18_7 = all_14_13
% 54.66/8.78 (2) all_18_7 = e20
% 54.66/8.78 (3) ~ (all_14_13 = e20)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.78 | (4) all_14_13 = e20
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (4) implies:
% 54.66/8.78 | (5) all_14_13 = e20
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (3), (5) imply:
% 54.66/8.78 | (6) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (6) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #27 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) all_24_31 = e23
% 54.66/8.78 (2) all_24_31 = e21
% 54.66/8.78 (3) e23 = e20
% 54.66/8.78 (4) ~ (e21 = e20)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.78 | (5) e23 = e21
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (5) implies:
% 54.66/8.78 | (6) e23 = e21
% 54.66/8.78 |
% 54.66/8.78 | COMBINE_EQS: (3), (6) imply:
% 54.66/8.78 | (7) e21 = e20
% 54.66/8.78 |
% 54.66/8.78 | SIMP: (7) implies:
% 54.66/8.78 | (8) e21 = e20
% 54.66/8.78 |
% 54.66/8.78 | REDUCE: (4), (8) imply:
% 54.66/8.78 | (9) $false
% 54.66/8.78 |
% 54.66/8.78 | CLOSE: (9) is inconsistent.
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #28 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) ~ (all_6_1 = e23)
% 54.66/8.78 (2) all_24_31 = e23
% 54.66/8.78 (3) all_24_26 = e21
% 54.66/8.78 (4) all_24_17 = e22
% 54.66/8.78 (5) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_28
% 54.66/8.78 = e23)) | (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) &
% 54.66/8.78 ~ (all_24_28 = e23)) | (all_24_17 = e21 & all_24_28 = e23 & ~
% 54.66/8.78 (all_24_16 = e22) & ~ (all_24_30 = e23)) | (all_24_17 = e21 &
% 54.66/8.78 all_24_31 = e23 & ~ (all_24_18 = e20) & ~ (all_24_30 = e23)) |
% 54.66/8.78 (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_31
% 54.66/8.78 = e23)) | (all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 54.66/8.78 ~ (all_24_31 = e23)) | (all_24_19 = e23 & all_24_30 = e22 & ~
% 54.66/8.78 (all_24_20 = e21) & ~ (all_24_26 = e22)) | (all_24_19 = e23 &
% 54.66/8.78 all_24_31 = e22 & ~ (all_24_21 = e20) & ~ (all_24_26 = e22)) |
% 54.66/8.78 (all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30
% 54.66/8.78 = e22)) | (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.66/8.78 ~ (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 = e22 & ~
% 54.66/8.78 (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.66/8.78 all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 = e22))
% 54.66/8.78 (6) ~ (e23 = e22)
% 54.66/8.78 (7) all_24_16 = e23
% 54.66/8.78 (8) all_24_28 = all_6_1
% 54.66/8.78 (9) all_24_30 = e23
% 54.66/8.78 (10) ~ (e22 = e21)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | BETA: splitting (5) gives:
% 54.66/8.78 |
% 54.66/8.78 | Case 1:
% 54.66/8.78 | |
% 54.66/8.78 | | (11) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.66/8.78 | | (all_24_28 = e23)) | (all_24_16 = e22 & all_24_31 = e23 & ~
% 54.66/8.78 | | (all_24_18 = e20) & ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.66/8.78 | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_30 = e23)) |
% 54.66/8.78 | | (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | (all_24_30 = e23)) | (all_24_18 = e20 & all_24_28 = e23 & ~
% 54.66/8.78 | | (all_24_16 = e22) & ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.66/8.78 | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_31 = e23))
% 54.66/8.78 | |
% 54.66/8.78 | | BETA: splitting (11) gives:
% 54.66/8.78 | |
% 54.66/8.78 | | Case 1:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (12) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.66/8.78 | | | (all_24_28 = e23)) | (all_24_16 = e22 & all_24_31 = e23 & ~
% 54.66/8.78 | | | (all_24_18 = e20) & ~ (all_24_28 = e23)) | (all_24_17 = e21 &
% 54.66/8.78 | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_30 = e23))
% 54.66/8.78 | | |
% 54.66/8.78 | | | BETA: splitting (12) gives:
% 54.66/8.78 | | |
% 54.66/8.78 | | | Case 1:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | (13) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.66/8.78 | | | | (all_24_28 = e23)
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | REF_CLOSE: (6), (7), (13) are inconsistent by sub-proof #32.
% 54.66/8.78 | | | |
% 54.66/8.78 | | | Case 2:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | (14) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | | | (all_24_28 = e23)) | (all_24_17 = e21 & all_24_28 = e23 & ~
% 54.66/8.78 | | | | (all_24_16 = e22) & ~ (all_24_30 = e23))
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | BETA: splitting (14) gives:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | Case 1:
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | (15) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | | | | (all_24_28 = e23)
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | REF_CLOSE: (6), (7), (15) are inconsistent by sub-proof #31.
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | Case 2:
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | (16) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.66/8.78 | | | | | (all_24_30 = e23)
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | ALPHA: (16) implies:
% 54.66/8.78 | | | | | (17) all_24_17 = e21
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | COMBINE_EQS: (4), (17) imply:
% 54.66/8.78 | | | | | (18) e22 = e21
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | REDUCE: (10), (18) imply:
% 54.66/8.78 | | | | | (19) $false
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | CLOSE: (19) is inconsistent.
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | End of split
% 54.66/8.78 | | | |
% 54.66/8.78 | | | End of split
% 54.66/8.78 | | |
% 54.66/8.78 | | Case 2:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (20) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | | (all_24_30 = e23)) | (all_24_18 = e20 & all_24_28 = e23 & ~
% 54.66/8.78 | | | (all_24_16 = e22) & ~ (all_24_31 = e23)) | (all_24_18 = e20 &
% 54.66/8.78 | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_31 = e23))
% 54.66/8.78 | | |
% 54.66/8.78 | | | BETA: splitting (20) gives:
% 54.66/8.78 | | |
% 54.66/8.78 | | | Case 1:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | (21) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~
% 54.66/8.78 | | | | (all_24_30 = e23)
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | ALPHA: (21) implies:
% 54.66/8.78 | | | | (22) all_24_17 = e21
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | COMBINE_EQS: (4), (22) imply:
% 54.66/8.78 | | | | (23) e22 = e21
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | REDUCE: (10), (23) imply:
% 54.66/8.78 | | | | (24) $false
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | CLOSE: (24) is inconsistent.
% 54.66/8.78 | | | |
% 54.66/8.78 | | | Case 2:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | (25) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.66/8.78 | | | | (all_24_31 = e23)) | (all_24_18 = e20 & all_24_30 = e23 & ~
% 54.66/8.78 | | | | (all_24_17 = e21) & ~ (all_24_31 = e23))
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | BETA: splitting (25) gives:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | Case 1:
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | (26) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.66/8.78 | | | | | (all_24_31 = e23)
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | ALPHA: (26) implies:
% 54.66/8.78 | | | | | (27) all_24_28 = e23
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | REF_CLOSE: (1), (8), (27) are inconsistent by sub-proof #53.
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | Case 2:
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | (28) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.66/8.78 | | | | | (all_24_31 = e23)
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | ALPHA: (28) implies:
% 54.66/8.78 | | | | | (29) ~ (all_24_31 = e23)
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | REDUCE: (2), (29) imply:
% 54.66/8.78 | | | | | (30) $false
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | | CLOSE: (30) is inconsistent.
% 54.66/8.78 | | | | |
% 54.66/8.78 | | | | End of split
% 54.66/8.78 | | | |
% 54.66/8.78 | | | End of split
% 54.66/8.78 | | |
% 54.66/8.78 | | End of split
% 54.66/8.78 | |
% 54.66/8.78 | Case 2:
% 54.66/8.78 | |
% 54.66/8.78 | | (31) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.66/8.78 | | (all_24_26 = e22)) | (all_24_19 = e23 & all_24_31 = e22 & ~
% 54.66/8.78 | | (all_24_21 = e20) & ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.66/8.78 | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30 = e22)) |
% 54.66/8.78 | | (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.78 | | (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 = e22 & ~
% 54.66/8.78 | | (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.66/8.78 | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 = e22))
% 54.66/8.78 | |
% 54.66/8.78 | | REF_CLOSE: (2), (3), (6), (9), (10), (31) are inconsistent by sub-proof #29.
% 54.66/8.78 | |
% 54.66/8.78 | End of split
% 54.66/8.78 |
% 54.66/8.78 End of proof
% 54.66/8.78
% 54.66/8.78 Sub-proof #29 shows that the following formulas are inconsistent:
% 54.66/8.78 ----------------------------------------------------------------
% 54.66/8.78 (1) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_26
% 54.66/8.78 = e22)) | (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) &
% 54.66/8.78 ~ (all_24_26 = e22)) | (all_24_20 = e21 & all_24_26 = e22 & ~
% 54.66/8.78 (all_24_19 = e23) & ~ (all_24_30 = e22)) | (all_24_20 = e21 &
% 54.66/8.78 all_24_31 = e22 & ~ (all_24_21 = e20) & ~ (all_24_30 = e22)) |
% 54.66/8.78 (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_31
% 54.66/8.78 = e22)) | (all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20 = e21) &
% 54.66/8.78 ~ (all_24_31 = e22))
% 54.66/8.78 (2) all_24_31 = e23
% 54.66/8.78 (3) all_24_26 = e21
% 54.66/8.78 (4) ~ (e23 = e22)
% 54.66/8.78 (5) all_24_30 = e23
% 54.66/8.78 (6) ~ (e22 = e21)
% 54.66/8.78
% 54.66/8.78 Begin of proof
% 54.66/8.78 |
% 54.66/8.78 | BETA: splitting (1) gives:
% 54.66/8.78 |
% 54.66/8.78 | Case 1:
% 54.66/8.78 | |
% 54.66/8.78 | | (7) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.66/8.78 | | (all_24_26 = e22)) | (all_24_19 = e23 & all_24_31 = e22 & ~
% 54.66/8.78 | | (all_24_21 = e20) & ~ (all_24_26 = e22)) | (all_24_20 = e21 &
% 54.66/8.78 | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30 = e22))
% 54.66/8.78 | |
% 54.66/8.78 | | BETA: splitting (7) gives:
% 54.66/8.78 | |
% 54.66/8.78 | | Case 1:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (8) all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.66/8.78 | | | (all_24_26 = e22)
% 54.66/8.78 | | |
% 54.66/8.78 | | | ALPHA: (8) implies:
% 54.66/8.78 | | | (9) all_24_30 = e22
% 54.66/8.78 | | |
% 54.66/8.78 | | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #30.
% 54.66/8.78 | | |
% 54.66/8.78 | | Case 2:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (10) (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.78 | | | (all_24_26 = e22)) | (all_24_20 = e21 & all_24_26 = e22 & ~
% 54.66/8.78 | | | (all_24_19 = e23) & ~ (all_24_30 = e22))
% 54.66/8.78 | | |
% 54.66/8.78 | | | REF_CLOSE: (2), (3), (4), (6), (10) are inconsistent by sub-proof #44.
% 54.66/8.78 | | |
% 54.66/8.78 | | End of split
% 54.66/8.78 | |
% 54.66/8.78 | Case 2:
% 54.66/8.78 | |
% 54.66/8.78 | | (11) (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.78 | | (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 = e22 & ~
% 54.66/8.78 | | (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 = e20 &
% 54.66/8.78 | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 = e22))
% 54.66/8.78 | |
% 54.66/8.78 | | BETA: splitting (11) gives:
% 54.66/8.78 | |
% 54.66/8.78 | | Case 1:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (12) all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.78 | | | (all_24_30 = e22)
% 54.66/8.78 | | |
% 54.66/8.78 | | | ALPHA: (12) implies:
% 54.66/8.78 | | | (13) all_24_31 = e22
% 54.66/8.78 | | |
% 54.66/8.78 | | | REF_CLOSE: (2), (4), (13) are inconsistent by sub-proof #46.
% 54.66/8.78 | | |
% 54.66/8.78 | | Case 2:
% 54.66/8.78 | | |
% 54.66/8.78 | | | (14) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.66/8.78 | | | (all_24_31 = e22)) | (all_24_21 = e20 & all_24_30 = e22 & ~
% 54.66/8.78 | | | (all_24_20 = e21) & ~ (all_24_31 = e22))
% 54.66/8.78 | | |
% 54.66/8.78 | | | BETA: splitting (14) gives:
% 54.66/8.78 | | |
% 54.66/8.78 | | | Case 1:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | (15) all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.66/8.78 | | | | (all_24_31 = e22)
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | REF_CLOSE: (3), (6), (15) are inconsistent by sub-proof #43.
% 54.66/8.78 | | | |
% 54.66/8.78 | | | Case 2:
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | (16) all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~
% 54.66/8.78 | | | | (all_24_31 = e22)
% 54.66/8.78 | | | |
% 54.66/8.78 | | | | ALPHA: (16) implies:
% 54.66/8.79 | | | | (17) all_24_30 = e22
% 54.66/8.79 | | | |
% 54.66/8.79 | | | | REF_CLOSE: (4), (5), (17) are inconsistent by sub-proof #30.
% 54.66/8.79 | | | |
% 54.66/8.79 | | | End of split
% 54.66/8.79 | | |
% 54.66/8.79 | | End of split
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #30 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_30 = e23
% 54.66/8.79 (2) all_24_30 = e22
% 54.66/8.79 (3) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.79 | (4) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (4) implies:
% 54.66/8.79 | (5) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #31 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~ (all_24_28
% 54.66/8.79 = e23)
% 54.66/8.79 (2) all_24_16 = e23
% 54.66/8.79 (3) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_16 = e22
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #32 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_28
% 54.66/8.79 = e23)
% 54.66/8.79 (2) all_24_16 = e23
% 54.66/8.79 (3) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_16 = e22
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #33 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) ~ (all_14_9 = e23)
% 54.66/8.79 (2) all_20_3 = all_6_1
% 54.66/8.79 (3) ~ (all_6_1 = e23)
% 54.66/8.79 (4) ~ (all_14_13 = e23)
% 54.66/8.79 (5) all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23
% 54.66/8.79 (6) all_20_10 = all_14_13
% 54.66/8.79 (7) all_20_5 = all_14_9
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (5) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) all_20_3 = e23
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (8) imply:
% 54.66/8.79 | | (9) all_6_1 = e23
% 54.66/8.79 | |
% 54.66/8.79 | | SIMP: (9) implies:
% 54.66/8.79 | | (10) all_6_1 = e23
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (3), (10) imply:
% 54.66/8.79 | | (11) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (11) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (12) all_20_5 = e23 | all_20_10 = e23
% 54.66/8.79 | |
% 54.66/8.79 | | BETA: splitting (12) gives:
% 54.66/8.79 | |
% 54.66/8.79 | | Case 1:
% 54.66/8.79 | | |
% 54.66/8.79 | | | (13) all_20_5 = e23
% 54.66/8.79 | | |
% 54.66/8.79 | | | COMBINE_EQS: (7), (13) imply:
% 54.66/8.79 | | | (14) all_14_9 = e23
% 54.66/8.79 | | |
% 54.66/8.79 | | | SIMP: (14) implies:
% 54.66/8.79 | | | (15) all_14_9 = e23
% 54.66/8.79 | | |
% 54.66/8.79 | | | REDUCE: (1), (15) imply:
% 54.66/8.79 | | | (16) $false
% 54.66/8.79 | | |
% 54.66/8.79 | | | CLOSE: (16) is inconsistent.
% 54.66/8.79 | | |
% 54.66/8.79 | | Case 2:
% 54.66/8.79 | | |
% 54.66/8.79 | | | (17) all_20_10 = e23
% 54.66/8.79 | | |
% 54.66/8.79 | | | COMBINE_EQS: (6), (17) imply:
% 54.66/8.79 | | | (18) all_14_13 = e23
% 54.66/8.79 | | |
% 54.66/8.79 | | | SIMP: (18) implies:
% 54.66/8.79 | | | (19) all_14_13 = e23
% 54.66/8.79 | | |
% 54.66/8.79 | | | REDUCE: (4), (19) imply:
% 54.66/8.79 | | | (20) $false
% 54.66/8.79 | | |
% 54.66/8.79 | | | CLOSE: (20) is inconsistent.
% 54.66/8.79 | | |
% 54.66/8.79 | | End of split
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #34 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_27 = all_14_13
% 54.66/8.79 (2) all_24_27 = e22
% 54.66/8.79 (3) ~ (all_14_13 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.79 | (4) all_14_13 = e22
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (4) implies:
% 54.66/8.79 | (5) all_14_13 = e22
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #35 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27 = e22) & ~ (all_24_30
% 54.66/8.79 = e20)
% 54.66/8.79 (2) all_24_28 = all_6_1
% 54.66/8.79 (3) ~ (all_6_1 = e20)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_28 = e20
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) all_6_1 = e20
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (5) implies:
% 54.66/8.79 | (6) all_6_1 = e20
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (6) imply:
% 54.66/8.79 | (7) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (7) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #36 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 = e23) & ~ (all_24_30
% 54.66/8.79 = e20)
% 54.66/8.79 (2) all_24_26 = e21
% 54.66/8.79 (3) ~ (e21 = e20)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_26 = e20
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) e21 = e20
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #37 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) ~ (e21 = e20)
% 54.66/8.79 (2) all_24_26 = e21
% 54.66/8.79 (3) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 = e20) & ~ (all_24_27
% 54.66/8.79 = e22)) | (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 = e20) &
% 54.66/8.79 ~ (all_24_29 = e21)) | (all_24_26 = e20 & all_24_27 = e22 & ~
% 54.66/8.79 (all_24_25 = e23) & ~ (all_24_28 = e20))
% 54.66/8.79 (4) all_24_25 = e22
% 54.66/8.79 (5) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (3) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (6) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 = e20) & ~
% 54.66/8.79 | | (all_24_27 = e22)
% 54.66/8.79 | |
% 54.66/8.79 | | ALPHA: (6) implies:
% 54.66/8.79 | | (7) all_24_25 = e23
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #40.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 54.66/8.79 | | (all_24_29 = e21)) | (all_24_26 = e20 & all_24_27 = e22 & ~
% 54.66/8.79 | | (all_24_25 = e23) & ~ (all_24_28 = e20))
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #38.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #38 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) ~ (e21 = e20)
% 54.66/8.79 (2) all_24_26 = e21
% 54.66/8.79 (3) all_24_25 = e22
% 54.66/8.79 (4) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & ~ (all_24_29
% 54.66/8.79 = e21)) | (all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25 = e23) &
% 54.66/8.79 ~ (all_24_28 = e20))
% 54.66/8.79 (5) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (4) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (6) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & ~
% 54.66/8.79 | | (all_24_29 = e21)
% 54.66/8.79 | |
% 54.66/8.79 | | ALPHA: (6) implies:
% 54.66/8.79 | | (7) all_24_25 = e23
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #40.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25 = e23) & ~
% 54.66/8.79 | | (all_24_28 = e20)
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #39.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #39 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25 = e23) & ~ (all_24_28
% 54.66/8.79 = e20)
% 54.66/8.79 (2) all_24_26 = e21
% 54.66/8.79 (3) ~ (e21 = e20)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_26 = e20
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) e21 = e20
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #40 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_25 = e23
% 54.66/8.79 (2) all_24_25 = e22
% 54.66/8.79 (3) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.79 | (4) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (4) implies:
% 54.66/8.79 | (5) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #41 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22 = e23) & ~ (all_24_31
% 54.66/8.79 = e21)) | (all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23 = e22) &
% 54.66/8.79 ~ (all_24_31 = e21))
% 54.66/8.79 (2) all_24_24 = all_14_11
% 54.66/8.79 (3) ~ (all_14_11 = e20)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (1) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (4) all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22 = e23) & ~
% 54.66/8.79 | | (all_24_31 = e21)
% 54.66/8.79 | |
% 54.66/8.79 | | ALPHA: (4) implies:
% 54.66/8.79 | | (5) all_24_24 = e20
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (5) imply:
% 54.66/8.79 | | (6) all_14_11 = e20
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (3), (6) imply:
% 54.66/8.79 | | (7) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (7) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23 = e22) & ~
% 54.66/8.79 | | (all_24_31 = e21)
% 54.66/8.79 | |
% 54.66/8.79 | | ALPHA: (8) implies:
% 54.66/8.79 | | (9) all_24_24 = e20
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (9) imply:
% 54.66/8.79 | | (10) all_14_11 = e20
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (3), (10) imply:
% 54.66/8.79 | | (11) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (11) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #42 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_20_0 = e21
% 54.66/8.79 (2) all_20_4 = all_14_8
% 54.66/8.79 (3) ~ (e23 = e20)
% 54.66/8.79 (4) all_20_1 = e23
% 54.66/8.79 (5) ~ (e23 = e22)
% 54.66/8.79 (6) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 54.66/8.79 (7) all_24_22 = e20
% 54.66/8.79 (8) ~ (all_14_8 = e23)
% 54.66/8.79 (9) all_24_22 = e23
% 54.66/8.79 (10) all_20_9 = e22
% 54.66/8.79 (11) ~ (e23 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (7), (9) imply:
% 54.66/8.79 | (12) e23 = e20
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (4), (12) imply:
% 54.66/8.79 | (13) all_20_1 = e20
% 54.66/8.79 |
% 54.66/8.79 | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10), (11), (13) are inconsistent by
% 54.66/8.79 | sub-proof #57.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #43 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_31
% 54.66/8.79 = e22)
% 54.66/8.79 (2) all_24_26 = e21
% 54.66/8.79 (3) ~ (e22 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_26 = e22
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) e22 = e21
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #44 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_31 = e23
% 54.66/8.79 (2) (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~ (all_24_26
% 54.66/8.79 = e22)) | (all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 = e23) &
% 54.66/8.79 ~ (all_24_30 = e22))
% 54.66/8.79 (3) all_24_26 = e21
% 54.66/8.79 (4) ~ (e23 = e22)
% 54.66/8.79 (5) ~ (e22 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (2) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (6) all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~
% 54.66/8.79 | | (all_24_26 = e22)
% 54.66/8.79 | |
% 54.66/8.79 | | ALPHA: (6) implies:
% 54.66/8.79 | | (7) all_24_31 = e22
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #46.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~
% 54.66/8.79 | | (all_24_30 = e22)
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #45.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #45 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30
% 54.66/8.79 = e22)
% 54.66/8.79 (2) all_24_26 = e21
% 54.66/8.79 (3) ~ (e22 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | ALPHA: (1) implies:
% 54.66/8.79 | (4) all_24_26 = e22
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (2), (4) imply:
% 54.66/8.79 | (5) e22 = e21
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #46 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_24_31 = e23
% 54.66/8.79 (2) all_24_31 = e22
% 54.66/8.79 (3) ~ (e23 = e22)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.79 | (4) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (4) implies:
% 54.66/8.79 | (5) e23 = e22
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #47 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_18_5 = all_6_1
% 54.66/8.79 (2) ~ (all_6_1 = e22)
% 54.66/8.79 (3) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 54.66/8.79 (4) ~ (all_6_1 = e20)
% 54.66/8.79 (5) ~ (all_6_1 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (3) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (6) all_18_5 = e20
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (1), (6) imply:
% 54.66/8.79 | | (7) all_6_1 = e20
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (4), (7) imply:
% 54.66/8.79 | | (8) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (8) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (9) all_18_5 = e22 | all_18_5 = e21
% 54.66/8.79 | |
% 54.66/8.79 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #48.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #48 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_18_5 = e22 | all_18_5 = e21
% 54.66/8.79 (2) all_18_5 = all_6_1
% 54.66/8.79 (3) ~ (all_6_1 = e22)
% 54.66/8.79 (4) ~ (all_6_1 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (1) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (5) all_18_5 = e22
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (5) imply:
% 54.66/8.79 | | (6) all_6_1 = e22
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (3), (6) imply:
% 54.66/8.79 | | (7) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (7) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) all_18_5 = e21
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (8) imply:
% 54.66/8.79 | | (9) all_6_1 = e21
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (4), (9) imply:
% 54.66/8.79 | | (10) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (10) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #49 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_18_4 = e22 | all_18_4 = e21
% 54.66/8.79 (2) all_18_4 = all_14_1
% 54.66/8.79 (3) ~ (all_14_1 = e22)
% 54.66/8.79 (4) ~ (all_14_1 = e21)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (1) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (5) all_18_4 = e22
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (5) imply:
% 54.66/8.79 | | (6) all_14_1 = e22
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (3), (6) imply:
% 54.66/8.79 | | (7) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (7) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | Case 2:
% 54.66/8.79 | |
% 54.66/8.79 | | (8) all_18_4 = e21
% 54.66/8.79 | |
% 54.66/8.79 | | COMBINE_EQS: (2), (8) imply:
% 54.66/8.79 | | (9) all_14_1 = e21
% 54.66/8.79 | |
% 54.66/8.79 | | REDUCE: (4), (9) imply:
% 54.66/8.79 | | (10) $false
% 54.66/8.79 | |
% 54.66/8.79 | | CLOSE: (10) is inconsistent.
% 54.66/8.79 | |
% 54.66/8.79 | End of split
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #50 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_20_7 = all_14_6
% 54.66/8.79 (2) all_20_7 = e20
% 54.66/8.79 (3) ~ (all_14_6 = e20)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.79 | (4) all_14_6 = e20
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (4) implies:
% 54.66/8.79 | (5) all_14_6 = e20
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #51 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) all_20_3 = all_6_1
% 54.66/8.79 (2) all_20_3 = e20
% 54.66/8.79 (3) ~ (all_6_1 = e20)
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.79 | (4) all_6_1 = e20
% 54.66/8.79 |
% 54.66/8.79 | SIMP: (4) implies:
% 54.66/8.79 | (5) all_6_1 = e20
% 54.66/8.79 |
% 54.66/8.79 | REDUCE: (3), (5) imply:
% 54.66/8.79 | (6) $false
% 54.66/8.79 |
% 54.66/8.79 | CLOSE: (6) is inconsistent.
% 54.66/8.79 |
% 54.66/8.79 End of proof
% 54.66/8.79
% 54.66/8.79 Sub-proof #52 shows that the following formulas are inconsistent:
% 54.66/8.79 ----------------------------------------------------------------
% 54.66/8.79 (1) ~ (all_6_1 = e23)
% 54.66/8.79 (2) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_31
% 54.66/8.79 = e23)) | (all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17 = e21) &
% 54.66/8.79 ~ (all_24_31 = e23))
% 54.66/8.79 (3) all_24_28 = all_6_1
% 54.66/8.79 (4) ~ (all_4_1 = e23)
% 54.66/8.79 (5) all_24_30 = all_4_1
% 54.66/8.79
% 54.66/8.79 Begin of proof
% 54.66/8.79 |
% 54.66/8.79 | BETA: splitting (2) gives:
% 54.66/8.79 |
% 54.66/8.79 | Case 1:
% 54.66/8.79 | |
% 54.66/8.79 | | (6) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~
% 54.66/8.79 | | (all_24_31 = e23)
% 54.66/8.79 | |
% 54.66/8.79 | | ALPHA: (6) implies:
% 54.66/8.80 | | (7) all_24_28 = e23
% 54.66/8.80 | |
% 54.66/8.80 | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #53.
% 54.66/8.80 | |
% 54.66/8.80 | Case 2:
% 54.66/8.80 | |
% 54.66/8.80 | | (8) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~
% 54.66/8.80 | | (all_24_31 = e23)
% 54.66/8.80 | |
% 54.66/8.80 | | ALPHA: (8) implies:
% 54.66/8.80 | | (9) all_24_30 = e23
% 54.66/8.80 | |
% 54.66/8.80 | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #55.
% 54.66/8.80 | |
% 54.66/8.80 | End of split
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #53 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_24_28 = all_6_1
% 54.66/8.80 (2) all_24_28 = e23
% 54.66/8.80 (3) ~ (all_6_1 = e23)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.80 | (4) all_6_1 = e23
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (5) all_6_1 = e23
% 54.66/8.80 |
% 54.66/8.80 | REDUCE: (3), (5) imply:
% 54.66/8.80 | (6) $false
% 54.66/8.80 |
% 54.66/8.80 | CLOSE: (6) is inconsistent.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #54 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_24_17 = e23
% 54.66/8.80 (2) all_24_17 = e21
% 54.66/8.80 (3) ~ (e23 = e21)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.80 | (4) e23 = e21
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (5) e23 = e21
% 54.66/8.80 |
% 54.66/8.80 | REDUCE: (3), (5) imply:
% 54.66/8.80 | (6) $false
% 54.66/8.80 |
% 54.66/8.80 | CLOSE: (6) is inconsistent.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #55 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_24_30 = all_4_1
% 54.66/8.80 (2) all_24_30 = e23
% 54.66/8.80 (3) ~ (all_4_1 = e23)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.80 | (4) all_4_1 = e23
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (5) all_4_1 = e23
% 54.66/8.80 |
% 54.66/8.80 | REDUCE: (3), (5) imply:
% 54.66/8.80 | (6) $false
% 54.66/8.80 |
% 54.66/8.80 | CLOSE: (6) is inconsistent.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #56 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_20_0 = e21
% 54.66/8.80 (2) all_20_4 = all_14_8
% 54.66/8.80 (3) ~ (e23 = e20)
% 54.66/8.80 (4) e23 = e20
% 54.66/8.80 (5) all_20_1 = e23
% 54.66/8.80 (6) ~ (e23 = e22)
% 54.66/8.80 (7) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 54.66/8.80 (8) ~ (all_14_8 = e23)
% 54.66/8.80 (9) all_20_9 = e22
% 54.66/8.80 (10) ~ (e23 = e21)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (11) e23 = e20
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (5), (11) imply:
% 54.66/8.80 | (12) all_20_1 = e20
% 54.66/8.80 |
% 54.66/8.80 | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (12) are inconsistent by
% 54.66/8.80 | sub-proof #57.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #57 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_20_0 = e21
% 54.66/8.80 (2) all_20_4 = all_14_8
% 54.66/8.80 (3) ~ (e23 = e20)
% 54.66/8.80 (4) all_20_1 = e20
% 54.66/8.80 (5) ~ (e23 = e22)
% 54.66/8.80 (6) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 54.66/8.80 (7) ~ (all_14_8 = e23)
% 54.66/8.80 (8) all_20_9 = e22
% 54.66/8.80 (9) ~ (e23 = e21)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | BETA: splitting (6) gives:
% 54.66/8.80 |
% 54.66/8.80 | Case 1:
% 54.66/8.80 | |
% 54.66/8.80 | | (10) all_20_0 = e23
% 54.66/8.80 | |
% 54.66/8.80 | | COMBINE_EQS: (1), (10) imply:
% 54.66/8.80 | | (11) e23 = e21
% 54.66/8.80 | |
% 54.66/8.80 | | REDUCE: (9), (11) imply:
% 54.66/8.80 | | (12) $false
% 54.66/8.80 | |
% 54.66/8.80 | | CLOSE: (12) is inconsistent.
% 54.66/8.80 | |
% 54.66/8.80 | Case 2:
% 54.66/8.80 | |
% 54.66/8.80 | | (13) all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23
% 54.66/8.80 | |
% 54.66/8.80 | | BETA: splitting (13) gives:
% 54.66/8.80 | |
% 54.66/8.80 | | Case 1:
% 54.66/8.80 | | |
% 54.66/8.80 | | | (14) all_20_1 = e23
% 54.66/8.80 | | |
% 54.66/8.80 | | | COMBINE_EQS: (4), (14) imply:
% 54.66/8.80 | | | (15) e23 = e20
% 54.66/8.80 | | |
% 54.66/8.80 | | | REDUCE: (3), (15) imply:
% 54.66/8.80 | | | (16) $false
% 54.66/8.80 | | |
% 54.66/8.80 | | | CLOSE: (16) is inconsistent.
% 54.66/8.80 | | |
% 54.66/8.80 | | Case 2:
% 54.66/8.80 | | |
% 54.66/8.80 | | | (17) all_20_4 = e23 | all_20_9 = e23
% 54.66/8.80 | | |
% 54.66/8.80 | | | BETA: splitting (17) gives:
% 54.66/8.80 | | |
% 54.66/8.80 | | | Case 1:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | (18) all_20_4 = e23
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | COMBINE_EQS: (2), (18) imply:
% 54.66/8.80 | | | | (19) all_14_8 = e23
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | SIMP: (19) implies:
% 54.66/8.80 | | | | (20) all_14_8 = e23
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | REDUCE: (7), (20) imply:
% 54.66/8.80 | | | | (21) $false
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | CLOSE: (21) is inconsistent.
% 54.66/8.80 | | | |
% 54.66/8.80 | | | Case 2:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | (22) all_20_9 = e23
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | COMBINE_EQS: (8), (22) imply:
% 54.66/8.80 | | | | (23) e23 = e22
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | SIMP: (23) implies:
% 54.66/8.80 | | | | (24) e23 = e22
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | REDUCE: (5), (24) imply:
% 54.66/8.80 | | | | (25) $false
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | CLOSE: (25) is inconsistent.
% 54.66/8.80 | | | |
% 54.66/8.80 | | | End of split
% 54.66/8.80 | | |
% 54.66/8.80 | | End of split
% 54.66/8.80 | |
% 54.66/8.80 | End of split
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #58 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_20_2 = all_14_1
% 54.66/8.80 (2) all_20_2 = e23
% 54.66/8.80 (3) ~ (all_14_1 = e23)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.80 | (4) all_14_1 = e23
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (5) all_14_1 = e23
% 54.66/8.80 |
% 54.66/8.80 | REDUCE: (3), (5) imply:
% 54.66/8.80 | (6) $false
% 54.66/8.80 |
% 54.66/8.80 | CLOSE: (6) is inconsistent.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #59 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_22_3 = all_12_5
% 54.66/8.80 (2) all_22_3 = e13
% 54.66/8.80 (3) ~ (all_12_5 = e13)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.80 | (4) all_12_5 = e13
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (5) all_12_5 = e13
% 54.66/8.80 |
% 54.66/8.80 | REDUCE: (3), (5) imply:
% 54.66/8.80 | (6) $false
% 54.66/8.80 |
% 54.66/8.80 | CLOSE: (6) is inconsistent.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #60 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_22_2 = all_12_1
% 54.66/8.80 (2) all_22_2 = e13
% 54.66/8.80 (3) ~ (all_12_1 = e13)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (1), (2) imply:
% 54.66/8.80 | (4) all_12_1 = e13
% 54.66/8.80 |
% 54.66/8.80 | SIMP: (4) implies:
% 54.66/8.80 | (5) all_12_1 = e13
% 54.66/8.80 |
% 54.66/8.80 | REDUCE: (3), (5) imply:
% 54.66/8.80 | (6) $false
% 54.66/8.80 |
% 54.66/8.80 | CLOSE: (6) is inconsistent.
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #61 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_16_7 = e12 | all_16_7 = e11
% 54.66/8.80 (2) all_16_7 = all_12_13
% 54.66/8.80 (3) ~ (all_12_13 = e12)
% 54.66/8.80 (4) ~ (all_12_13 = e11)
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | BETA: splitting (1) gives:
% 54.66/8.80 |
% 54.66/8.80 | Case 1:
% 54.66/8.80 | |
% 54.66/8.80 | | (5) all_16_7 = e12
% 54.66/8.80 | |
% 54.66/8.80 | | COMBINE_EQS: (2), (5) imply:
% 54.66/8.80 | | (6) all_12_13 = e12
% 54.66/8.80 | |
% 54.66/8.80 | | REDUCE: (3), (6) imply:
% 54.66/8.80 | | (7) $false
% 54.66/8.80 | |
% 54.66/8.80 | | CLOSE: (7) is inconsistent.
% 54.66/8.80 | |
% 54.66/8.80 | Case 2:
% 54.66/8.80 | |
% 54.66/8.80 | | (8) all_16_7 = e11
% 54.66/8.80 | |
% 54.66/8.80 | | COMBINE_EQS: (2), (8) imply:
% 54.66/8.80 | | (9) all_12_13 = e11
% 54.66/8.80 | |
% 54.66/8.80 | | REDUCE: (4), (9) imply:
% 54.66/8.80 | | (10) $false
% 54.66/8.80 | |
% 54.66/8.80 | | CLOSE: (10) is inconsistent.
% 54.66/8.80 | |
% 54.66/8.80 | End of split
% 54.66/8.80 |
% 54.66/8.80 End of proof
% 54.66/8.80
% 54.66/8.80 Sub-proof #62 shows that the following formulas are inconsistent:
% 54.66/8.80 ----------------------------------------------------------------
% 54.66/8.80 (1) all_26_25 = e12
% 54.66/8.80 (2) ~ (all_12_11 = e10)
% 54.66/8.80 (3) all_26_26 = e11
% 54.66/8.80 (4) all_26_28 = all_12_5
% 54.66/8.80 (5) ~ (e12 = e11)
% 54.66/8.80 (6) all_26_31 = e13
% 54.66/8.80 (7) ~ (e12 = e10)
% 54.66/8.80 (8) ~ (e13 = e10)
% 54.66/8.80 (9) all_26_16 = e13
% 54.66/8.80 (10) all_26_17 = e10
% 54.66/8.80 (11) all_26_23 = all_12_9
% 54.66/8.80 (12) ~ (e13 = e12)
% 54.66/8.80 (13) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.80 (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 54.66/8.80 (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.80 all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13)) |
% 54.66/8.80 (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.80 (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 54.66/8.80 (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.80 all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13)) |
% 54.66/8.80 (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.80 (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.66/8.80 (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.80 all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12)) |
% 54.66/8.80 (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.80 (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.66/8.80 (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.80 all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12)) |
% 54.66/8.80 (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.80 (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = e11 & ~
% 54.66/8.80 (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.80 all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = e11)) |
% 54.66/8.80 (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.80 (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~
% 54.66/8.80 (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.80 all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = e11)) |
% 54.66/8.80 (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.80 (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~
% 54.66/8.80 (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.80 all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = e10)) |
% 54.66/8.80 (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.66/8.80 (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~
% 54.66/8.80 (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.80 all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = e10))
% 54.66/8.80 (14) ~ (e11 = e10)
% 54.66/8.80 (15) all_26_30 = e13
% 54.66/8.80 (16) all_26_27 = e10
% 54.66/8.80 (17) all_26_18 = e12
% 54.66/8.80 (18) all_22_5 = all_12_9
% 54.66/8.80 (19) all_26_24 = all_12_11
% 54.66/8.80 (20) all_22_10 = e10
% 54.66/8.80 (21) all_22_2 = e13
% 54.66/8.80 (22) ~ (e13 = e11)
% 54.66/8.80 (23) ~ (all_12_5 = e10)
% 54.66/8.80 (24) all_26_23 = e12
% 54.66/8.80 (25) all_22_3 = all_12_5
% 54.66/8.80 (26) all_22_2 = e11 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 54.66/8.80 (27) all_26_22 = e10
% 54.66/8.80
% 54.66/8.80 Begin of proof
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (11), (24) imply:
% 54.66/8.80 | (28) all_12_9 = e12
% 54.66/8.80 |
% 54.66/8.80 | COMBINE_EQS: (18), (28) imply:
% 54.66/8.80 | (29) all_22_5 = e12
% 54.66/8.80 |
% 54.66/8.80 | BETA: splitting (26) gives:
% 54.66/8.80 |
% 54.66/8.80 | Case 1:
% 54.66/8.80 | |
% 54.66/8.80 | | (30) all_22_2 = e11
% 54.66/8.80 | |
% 54.66/8.80 | | REF_CLOSE: (21), (22), (30) are inconsistent by sub-proof #105.
% 54.66/8.80 | |
% 54.66/8.80 | Case 2:
% 54.66/8.80 | |
% 54.66/8.80 | | (31) ~ (all_22_2 = e11)
% 54.66/8.80 | | (32) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 54.66/8.80 | |
% 54.66/8.80 | | BETA: splitting (13) gives:
% 54.66/8.80 | |
% 54.66/8.80 | | Case 1:
% 54.66/8.80 | | |
% 54.66/8.80 | | | (33) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.80 | | | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 54.66/8.80 | | | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.80 | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13)) |
% 54.66/8.80 | | | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.80 | | | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 54.66/8.80 | | | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.80 | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13)) |
% 54.66/8.80 | | | (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.80 | | | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.66/8.80 | | | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.80 | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12)) |
% 54.66/8.80 | | | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.80 | | | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.66/8.80 | | | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.80 | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.66/8.80 | | |
% 54.66/8.80 | | | BETA: splitting (33) gives:
% 54.66/8.80 | | |
% 54.66/8.80 | | | Case 1:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | (34) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.66/8.80 | | | | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 54.66/8.80 | | | | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.66/8.80 | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13))
% 54.66/8.80 | | | | | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.66/8.80 | | | | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 54.66/8.80 | | | | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.66/8.80 | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13))
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | REF_CLOSE: (7), (9), (10), (12), (14), (17), (34) are inconsistent by
% 54.66/8.80 | | | | sub-proof #66.
% 54.66/8.80 | | | |
% 54.66/8.80 | | | Case 2:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | (35) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.80 | | | | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.66/8.80 | | | | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.66/8.80 | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.66/8.80 | | | | | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.80 | | | | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.66/8.80 | | | | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.66/8.80 | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | BETA: splitting (35) gives:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | Case 1:
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | (36) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.66/8.80 | | | | | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.66/8.80 | | | | | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11
% 54.66/8.80 | | | | | & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 =
% 54.66/8.80 | | | | | e12))
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | BETA: splitting (36) gives:
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | Case 1:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | (37) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.66/8.80 | | | | | | ~ (all_26_26 = e12)
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | ALPHA: (37) implies:
% 54.66/8.80 | | | | | | (38) all_26_30 = e12
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | COMBINE_EQS: (15), (38) imply:
% 54.66/8.80 | | | | | | (39) e13 = e12
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | REDUCE: (12), (39) imply:
% 54.66/8.80 | | | | | | (40) $false
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | CLOSE: (40) is inconsistent.
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | Case 2:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | (41) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.80 | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 = e12
% 54.66/8.80 | | | | | | & ~ (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | BETA: splitting (41) gives:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | Case 1:
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | (42) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.80 | | | | | | | ~ (all_26_26 = e12)
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | REF_CLOSE: (6), (12), (42) are inconsistent by sub-proof #99.
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | Case 2:
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | (43) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) &
% 54.66/8.80 | | | | | | | ~ (all_26_30 = e12)
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | ALPHA: (43) implies:
% 54.66/8.80 | | | | | | | (44) all_26_26 = e12
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | REF_CLOSE: (3), (5), (44) are inconsistent by sub-proof #65.
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | End of split
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | End of split
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | Case 2:
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | (45) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.66/8.80 | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.66/8.80 | | | | | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10
% 54.66/8.80 | | | | | & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 =
% 54.66/8.80 | | | | | e12))
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | BETA: splitting (45) gives:
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | Case 1:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | (46) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.66/8.80 | | | | | | ~ (all_26_30 = e12)
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | REF_CLOSE: (6), (12), (46) are inconsistent by sub-proof #97.
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | Case 2:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | (47) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) &
% 54.66/8.80 | | | | | | ~ (all_26_31 = e12)) | (all_26_21 = e10 & all_26_30 = e12
% 54.66/8.80 | | | | | | & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | BETA: splitting (47) gives:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | Case 1:
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | (48) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) &
% 54.66/8.80 | | | | | | | ~ (all_26_31 = e12)
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | ALPHA: (48) implies:
% 54.66/8.80 | | | | | | | (49) all_26_26 = e12
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | REF_CLOSE: (3), (5), (49) are inconsistent by sub-proof #65.
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | Case 2:
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | (50) all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.66/8.80 | | | | | | | ~ (all_26_31 = e12)
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | ALPHA: (50) implies:
% 54.66/8.80 | | | | | | | (51) all_26_30 = e12
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | COMBINE_EQS: (15), (51) imply:
% 54.66/8.80 | | | | | | | (52) e13 = e12
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | REDUCE: (12), (52) imply:
% 54.66/8.80 | | | | | | | (53) $false
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | CLOSE: (53) is inconsistent.
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | End of split
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | End of split
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | End of split
% 54.66/8.80 | | | |
% 54.66/8.80 | | | End of split
% 54.66/8.80 | | |
% 54.66/8.80 | | Case 2:
% 54.66/8.80 | | |
% 54.66/8.80 | | | (54) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.80 | | | (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = e11 & ~
% 54.66/8.80 | | | (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.80 | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = e11)) |
% 54.66/8.80 | | | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.80 | | | (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~
% 54.66/8.80 | | | (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.80 | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = e11)) |
% 54.66/8.80 | | | (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.80 | | | (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~
% 54.66/8.80 | | | (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.80 | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = e10)) |
% 54.66/8.80 | | | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.66/8.80 | | | (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~
% 54.66/8.80 | | | (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.80 | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = e10))
% 54.66/8.80 | | |
% 54.66/8.80 | | | BETA: splitting (54) gives:
% 54.66/8.80 | | |
% 54.66/8.80 | | | Case 1:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | (55) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.80 | | | | (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = e11 & ~
% 54.66/8.80 | | | | (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = e12 &
% 54.66/8.80 | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = e11))
% 54.66/8.80 | | | | | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.80 | | | | (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~
% 54.66/8.80 | | | | (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10 &
% 54.66/8.80 | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = e11))
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | BETA: splitting (55) gives:
% 54.66/8.80 | | | |
% 54.66/8.80 | | | | Case 1:
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | (56) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.66/8.80 | | | | | (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = e11 & ~
% 54.66/8.80 | | | | | (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = e12
% 54.66/8.80 | | | | | & all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 =
% 54.66/8.80 | | | | | e11))
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | BETA: splitting (56) gives:
% 54.66/8.80 | | | | |
% 54.66/8.80 | | | | | Case 1:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | (57) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) &
% 54.66/8.80 | | | | | | ~ (all_26_26 = e11)
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | REF_CLOSE: (8), (27), (57) are inconsistent by sub-proof #76.
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | Case 2:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | (58) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.80 | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & all_26_26 = e11
% 54.66/8.80 | | | | | | & ~ (all_26_22 = e13) & ~ (all_26_28 = e11))
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | BETA: splitting (58) gives:
% 54.66/8.80 | | | | | |
% 54.66/8.80 | | | | | | Case 1:
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | (59) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.80 | | | | | | | ~ (all_26_26 = e11)
% 54.66/8.80 | | | | | | |
% 54.66/8.80 | | | | | | | ALPHA: (59) implies:
% 54.66/8.81 | | | | | | | (60) all_26_31 = e11
% 54.66/8.81 | | | | | | | (61) all_26_22 = e13
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | COMBINE_EQS: (27), (61) imply:
% 54.66/8.81 | | | | | | | (62) e13 = e10
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | SIMP: (62) implies:
% 54.66/8.81 | | | | | | | (63) e13 = e10
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | REF_CLOSE: (6), (14), (60), (63) are inconsistent by sub-proof
% 54.66/8.81 | | | | | | | #92.
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | Case 2:
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | (64) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.81 | | | | | | | ~ (all_26_28 = e11)
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | ALPHA: (64) implies:
% 54.66/8.81 | | | | | | | (65) ~ (all_26_28 = e11)
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | REDUCE: (4), (65) imply:
% 54.66/8.81 | | | | | | | (66) ~ (all_12_5 = e11)
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | REF_CLOSE: (5), (14), (20), (25), (29), (32), (66) are
% 54.66/8.81 | | | | | | | inconsistent by sub-proof #91.
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | End of split
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | End of split
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | Case 2:
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | (67) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.66/8.81 | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~
% 54.66/8.81 | | | | | (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10
% 54.66/8.81 | | | | | & all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 =
% 54.66/8.81 | | | | | e11))
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | BETA: splitting (67) gives:
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | Case 1:
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | (68) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) &
% 54.66/8.81 | | | | | | ~ (all_26_28 = e11)
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | REF_CLOSE: (6), (22), (68) are inconsistent by sub-proof #90.
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | Case 2:
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | (69) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.66/8.81 | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 & all_26_28 = e11
% 54.66/8.81 | | | | | | & ~ (all_26_23 = e12) & ~ (all_26_31 = e11))
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | REF_CLOSE: (2), (19), (69) are inconsistent by sub-proof #73.
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | End of split
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | End of split
% 54.66/8.81 | | | |
% 54.66/8.81 | | | Case 2:
% 54.66/8.81 | | | |
% 54.66/8.81 | | | | (70) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.81 | | | | (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~
% 54.66/8.81 | | | | (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = e10 &
% 54.66/8.81 | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = e10))
% 54.66/8.81 | | | | | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.66/8.81 | | | | (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~
% 54.66/8.81 | | | | (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10 &
% 54.66/8.81 | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = e10))
% 54.66/8.81 | | | |
% 54.66/8.81 | | | | BETA: splitting (70) gives:
% 54.66/8.81 | | | |
% 54.66/8.81 | | | | Case 1:
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | (71) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 54.66/8.81 | | | | | (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~
% 54.66/8.81 | | | | | (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = e10
% 54.66/8.81 | | | | | & all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 =
% 54.66/8.81 | | | | | e10))
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | BETA: splitting (71) gives:
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | Case 1:
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | (72) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) &
% 54.66/8.81 | | | | | | ~ (all_26_27 = e12)
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | REF_CLOSE: (1), (12), (72) are inconsistent by sub-proof #72.
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | Case 2:
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | (73) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 54.66/8.81 | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & all_26_27 = e12
% 54.66/8.81 | | | | | | & ~ (all_26_25 = e13) & ~ (all_26_28 = e10))
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | BETA: splitting (73) gives:
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | | Case 1:
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | (74) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 54.66/8.81 | | | | | | | ~ (all_26_29 = e11)
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | ALPHA: (74) implies:
% 54.66/8.81 | | | | | | | (75) all_26_30 = e10
% 54.66/8.81 | | | | | | | (76) all_26_25 = e13
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | COMBINE_EQS: (1), (76) imply:
% 54.66/8.81 | | | | | | | (77) e13 = e12
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | SIMP: (77) implies:
% 54.66/8.81 | | | | | | | (78) e13 = e12
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | COMBINE_EQS: (15), (75) imply:
% 54.66/8.81 | | | | | | | (79) e13 = e10
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | REF_CLOSE: (7), (78), (79) are inconsistent by sub-proof #64.
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | Case 2:
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | (80) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 = e13) &
% 54.66/8.81 | | | | | | | ~ (all_26_28 = e10)
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | | REF_CLOSE: (3), (14), (80) are inconsistent by sub-proof #71.
% 54.66/8.81 | | | | | | |
% 54.66/8.81 | | | | | | End of split
% 54.66/8.81 | | | | | |
% 54.66/8.81 | | | | | End of split
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | Case 2:
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | (81) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.66/8.81 | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~
% 54.66/8.81 | | | | | (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10
% 54.66/8.81 | | | | | & all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 =
% 54.66/8.81 | | | | | e10))
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | | REF_CLOSE: (3), (4), (7), (14), (16), (23), (81) are inconsistent by
% 54.66/8.81 | | | | | sub-proof #63.
% 54.66/8.81 | | | | |
% 54.66/8.81 | | | | End of split
% 54.66/8.81 | | | |
% 54.66/8.81 | | | End of split
% 54.66/8.81 | | |
% 54.66/8.81 | | End of split
% 54.66/8.81 | |
% 54.66/8.81 | End of split
% 54.66/8.81 |
% 54.66/8.81 End of proof
% 54.66/8.81
% 54.66/8.81 Sub-proof #63 shows that the following formulas are inconsistent:
% 54.66/8.81 ----------------------------------------------------------------
% 54.66/8.81 (1) all_26_26 = e11
% 54.66/8.81 (2) all_26_28 = all_12_5
% 54.66/8.81 (3) ~ (e12 = e10)
% 54.66/8.81 (4) ~ (e11 = e10)
% 54.98/8.81 (5) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~ (all_26_30
% 54.98/8.81 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 = e10) &
% 54.98/8.81 ~ (all_26_29 = e11)) | (all_26_28 = e10 & all_26_29 = e11 & ~
% 54.98/8.81 (all_26_27 = e12) & ~ (all_26_30 = e10))
% 54.98/8.81 (6) all_26_27 = e10
% 54.98/8.81 (7) ~ (all_12_5 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | BETA: splitting (5) gives:
% 54.98/8.81 |
% 54.98/8.81 | Case 1:
% 54.98/8.81 | |
% 54.98/8.81 | | (8) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~
% 54.98/8.81 | | (all_26_30 = e10)
% 54.98/8.81 | |
% 54.98/8.81 | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #70.
% 54.98/8.81 | |
% 54.98/8.81 | Case 2:
% 54.98/8.81 | |
% 54.98/8.81 | | (9) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 54.98/8.81 | | (all_26_29 = e11)) | (all_26_28 = e10 & all_26_29 = e11 & ~
% 54.98/8.81 | | (all_26_27 = e12) & ~ (all_26_30 = e10))
% 54.98/8.81 | |
% 54.98/8.81 | | BETA: splitting (9) gives:
% 54.98/8.81 | |
% 54.98/8.81 | | Case 1:
% 54.98/8.81 | | |
% 54.98/8.81 | | | (10) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 = e10) & ~
% 54.98/8.81 | | | (all_26_29 = e11)
% 54.98/8.81 | | |
% 54.98/8.81 | | | ALPHA: (10) implies:
% 54.98/8.81 | | | (11) all_26_27 = e12
% 54.98/8.81 | | |
% 54.98/8.81 | | | COMBINE_EQS: (6), (11) imply:
% 54.98/8.81 | | | (12) e12 = e10
% 54.98/8.81 | | |
% 54.98/8.81 | | | SIMP: (12) implies:
% 54.98/8.81 | | | (13) e12 = e10
% 54.98/8.81 | | |
% 54.98/8.81 | | | REDUCE: (3), (13) imply:
% 54.98/8.81 | | | (14) $false
% 54.98/8.81 | | |
% 54.98/8.81 | | | CLOSE: (14) is inconsistent.
% 54.98/8.81 | | |
% 54.98/8.81 | | Case 2:
% 54.98/8.81 | | |
% 54.98/8.81 | | | (15) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & ~
% 54.98/8.81 | | | (all_26_30 = e10)
% 54.98/8.81 | | |
% 54.98/8.81 | | | ALPHA: (15) implies:
% 54.98/8.81 | | | (16) all_26_28 = e10
% 54.98/8.81 | | |
% 54.98/8.81 | | | COMBINE_EQS: (2), (16) imply:
% 54.98/8.81 | | | (17) all_12_5 = e10
% 54.98/8.81 | | |
% 54.98/8.81 | | | REDUCE: (7), (17) imply:
% 54.98/8.81 | | | (18) $false
% 54.98/8.81 | | |
% 54.98/8.81 | | | CLOSE: (18) is inconsistent.
% 54.98/8.81 | | |
% 54.98/8.81 | | End of split
% 54.98/8.81 | |
% 54.98/8.81 | End of split
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #64 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) e13 = e12
% 54.98/8.81 (2) e13 = e10
% 54.98/8.81 (3) ~ (e12 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.81 | (4) e12 = e10
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (4) implies:
% 54.98/8.81 | (5) e12 = e10
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #65 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_26 = e12
% 54.98/8.81 (2) all_26_26 = e11
% 54.98/8.81 (3) ~ (e12 = e11)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.81 | (4) e12 = e11
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (4) implies:
% 54.98/8.81 | (5) e12 = e11
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #66 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) ~ (e12 = e10)
% 54.98/8.81 (2) all_26_16 = e13
% 54.98/8.81 (3) all_26_17 = e10
% 54.98/8.81 (4) ~ (e13 = e12)
% 54.98/8.81 (5) ~ (e11 = e10)
% 54.98/8.81 (6) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_28
% 54.98/8.81 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 54.98/8.81 ~ (all_26_28 = e13)) | (all_26_17 = e11 & all_26_28 = e13 & ~
% 54.98/8.81 (all_26_16 = e12) & ~ (all_26_30 = e13)) | (all_26_17 = e11 &
% 54.98/8.81 all_26_31 = e13 & ~ (all_26_18 = e10) & ~ (all_26_30 = e13)) |
% 54.98/8.81 (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_31
% 54.98/8.81 = e13)) | (all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 = e11) &
% 54.98/8.81 ~ (all_26_31 = e13))
% 54.98/8.81 (7) all_26_18 = e12
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | BETA: splitting (6) gives:
% 54.98/8.81 |
% 54.98/8.81 | Case 1:
% 54.98/8.81 | |
% 54.98/8.81 | | (8) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.81 | | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 54.98/8.81 | | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.98/8.81 | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13))
% 54.98/8.81 | |
% 54.98/8.81 | | BETA: splitting (8) gives:
% 54.98/8.81 | |
% 54.98/8.81 | | Case 1:
% 54.98/8.81 | | |
% 54.98/8.81 | | | (9) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.81 | | | (all_26_28 = e13)
% 54.98/8.81 | | |
% 54.98/8.81 | | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #104.
% 54.98/8.81 | | |
% 54.98/8.81 | | Case 2:
% 54.98/8.81 | | |
% 54.98/8.81 | | | (10) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.81 | | | (all_26_28 = e13)) | (all_26_17 = e11 & all_26_28 = e13 & ~
% 54.98/8.81 | | | (all_26_16 = e12) & ~ (all_26_30 = e13))
% 54.98/8.81 | | |
% 54.98/8.81 | | | BETA: splitting (10) gives:
% 54.98/8.81 | | |
% 54.98/8.81 | | | Case 1:
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | (11) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.81 | | | | (all_26_28 = e13)
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | REF_CLOSE: (2), (4), (11) are inconsistent by sub-proof #103.
% 54.98/8.81 | | | |
% 54.98/8.81 | | | Case 2:
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | (12) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.98/8.81 | | | | (all_26_30 = e13)
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | ALPHA: (12) implies:
% 54.98/8.81 | | | | (13) all_26_17 = e11
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | REF_CLOSE: (3), (5), (13) are inconsistent by sub-proof #67.
% 54.98/8.81 | | | |
% 54.98/8.81 | | | End of split
% 54.98/8.81 | | |
% 54.98/8.81 | | End of split
% 54.98/8.81 | |
% 54.98/8.81 | Case 2:
% 54.98/8.81 | |
% 54.98/8.81 | | (14) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.81 | | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 54.98/8.81 | | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.98/8.81 | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13))
% 54.98/8.81 | |
% 54.98/8.81 | | BETA: splitting (14) gives:
% 54.98/8.81 | |
% 54.98/8.81 | | Case 1:
% 54.98/8.81 | | |
% 54.98/8.81 | | | (15) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.81 | | | (all_26_30 = e13)
% 54.98/8.81 | | |
% 54.98/8.81 | | | ALPHA: (15) implies:
% 54.98/8.81 | | | (16) all_26_17 = e11
% 54.98/8.81 | | |
% 54.98/8.81 | | | REF_CLOSE: (3), (5), (16) are inconsistent by sub-proof #67.
% 54.98/8.81 | | |
% 54.98/8.81 | | Case 2:
% 54.98/8.81 | | |
% 54.98/8.81 | | | (17) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.98/8.81 | | | (all_26_31 = e13)) | (all_26_18 = e10 & all_26_30 = e13 & ~
% 54.98/8.81 | | | (all_26_17 = e11) & ~ (all_26_31 = e13))
% 54.98/8.81 | | |
% 54.98/8.81 | | | BETA: splitting (17) gives:
% 54.98/8.81 | | |
% 54.98/8.81 | | | Case 1:
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | (18) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.98/8.81 | | | | (all_26_31 = e13)
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | ALPHA: (18) implies:
% 54.98/8.81 | | | | (19) all_26_18 = e10
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | COMBINE_EQS: (7), (19) imply:
% 54.98/8.81 | | | | (20) e12 = e10
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | REDUCE: (1), (20) imply:
% 54.98/8.81 | | | | (21) $false
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | CLOSE: (21) is inconsistent.
% 54.98/8.81 | | | |
% 54.98/8.81 | | | Case 2:
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | (22) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.81 | | | | (all_26_31 = e13)
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | ALPHA: (22) implies:
% 54.98/8.81 | | | | (23) all_26_18 = e10
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | COMBINE_EQS: (7), (23) imply:
% 54.98/8.81 | | | | (24) e12 = e10
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | REDUCE: (1), (24) imply:
% 54.98/8.81 | | | | (25) $false
% 54.98/8.81 | | | |
% 54.98/8.81 | | | | CLOSE: (25) is inconsistent.
% 54.98/8.81 | | | |
% 54.98/8.81 | | | End of split
% 54.98/8.81 | | |
% 54.98/8.81 | | End of split
% 54.98/8.81 | |
% 54.98/8.81 | End of split
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #67 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_17 = e11
% 54.98/8.81 (2) all_26_17 = e10
% 54.98/8.81 (3) ~ (e11 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.81 | (4) e11 = e10
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (4) implies:
% 54.98/8.81 | (5) e11 = e10
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #68 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_22_2 = e13
% 54.98/8.81 (2) all_22_2 = e12
% 54.98/8.81 (3) ~ (e13 = e12)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.81 | (4) e13 = e12
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (4) implies:
% 54.98/8.81 | (5) e13 = e12
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #69 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_27 = all_12_13
% 54.98/8.81 (2) all_26_27 = e12
% 54.98/8.81 (3) ~ (all_12_13 = e12)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.81 | (4) all_12_13 = e12
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (4) implies:
% 54.98/8.81 | (5) all_12_13 = e12
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #70 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~ (all_26_30
% 54.98/8.81 = e10)
% 54.98/8.81 (2) all_26_26 = e11
% 54.98/8.81 (3) ~ (e11 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | ALPHA: (1) implies:
% 54.98/8.81 | (4) all_26_26 = e10
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.81 | (5) e11 = e10
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #71 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28
% 54.98/8.81 = e10)
% 54.98/8.81 (2) all_26_26 = e11
% 54.98/8.81 (3) ~ (e11 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | ALPHA: (1) implies:
% 54.98/8.81 | (4) all_26_26 = e10
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.81 | (5) e11 = e10
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #72 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~ (all_26_27
% 54.98/8.81 = e12)
% 54.98/8.81 (2) all_26_25 = e12
% 54.98/8.81 (3) ~ (e13 = e12)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | ALPHA: (1) implies:
% 54.98/8.81 | (4) all_26_25 = e13
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.81 | (5) e13 = e12
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (5) implies:
% 54.98/8.81 | (6) e13 = e12
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (6) imply:
% 54.98/8.81 | (7) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (7) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #73 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_31
% 54.98/8.81 = e11)) | (all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23 = e12) &
% 54.98/8.81 ~ (all_26_31 = e11))
% 54.98/8.81 (2) all_26_24 = all_12_11
% 54.98/8.81 (3) ~ (all_12_11 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | BETA: splitting (1) gives:
% 54.98/8.81 |
% 54.98/8.81 | Case 1:
% 54.98/8.81 | |
% 54.98/8.81 | | (4) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.98/8.81 | | (all_26_31 = e11)
% 54.98/8.81 | |
% 54.98/8.81 | | ALPHA: (4) implies:
% 54.98/8.81 | | (5) all_26_24 = e10
% 54.98/8.81 | |
% 54.98/8.81 | | COMBINE_EQS: (2), (5) imply:
% 54.98/8.81 | | (6) all_12_11 = e10
% 54.98/8.81 | |
% 54.98/8.81 | | REDUCE: (3), (6) imply:
% 54.98/8.81 | | (7) $false
% 54.98/8.81 | |
% 54.98/8.81 | | CLOSE: (7) is inconsistent.
% 54.98/8.81 | |
% 54.98/8.81 | Case 2:
% 54.98/8.81 | |
% 54.98/8.81 | | (8) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.98/8.81 | | (all_26_31 = e11)
% 54.98/8.81 | |
% 54.98/8.81 | | ALPHA: (8) implies:
% 54.98/8.81 | | (9) all_26_24 = e10
% 54.98/8.81 | |
% 54.98/8.81 | | COMBINE_EQS: (2), (9) imply:
% 54.98/8.81 | | (10) all_12_11 = e10
% 54.98/8.81 | |
% 54.98/8.81 | | REDUCE: (3), (10) imply:
% 54.98/8.81 | | (11) $false
% 54.98/8.81 | |
% 54.98/8.81 | | CLOSE: (11) is inconsistent.
% 54.98/8.81 | |
% 54.98/8.81 | End of split
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #74 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_31 = e13
% 54.98/8.81 (2) all_26_31 = e11
% 54.98/8.81 (3) ~ (e13 = e11)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.81 | (4) e13 = e11
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (4) implies:
% 54.98/8.81 | (5) e13 = e11
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (5) imply:
% 54.98/8.81 | (6) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (6) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #75 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ (all_26_26
% 54.98/8.81 = e11)
% 54.98/8.81 (2) all_26_22 = e10
% 54.98/8.81 (3) all_26_31 = e13
% 54.98/8.81 (4) ~ (e11 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | ALPHA: (1) implies:
% 54.98/8.81 | (5) all_26_31 = e11
% 54.98/8.81 | (6) all_26_22 = e13
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (2), (6) imply:
% 54.98/8.81 | (7) e13 = e10
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (7) implies:
% 54.98/8.81 | (8) e13 = e10
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (3), (5) imply:
% 54.98/8.81 | (9) e13 = e11
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (9) implies:
% 54.98/8.81 | (10) e13 = e11
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (8), (10) imply:
% 54.98/8.81 | (11) e11 = e10
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (4), (11) imply:
% 54.98/8.81 | (12) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (12) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #76 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_26
% 54.98/8.81 = e11)
% 54.98/8.81 (2) all_26_22 = e10
% 54.98/8.81 (3) ~ (e13 = e10)
% 54.98/8.81
% 54.98/8.81 Begin of proof
% 54.98/8.81 |
% 54.98/8.81 | ALPHA: (1) implies:
% 54.98/8.81 | (4) all_26_22 = e13
% 54.98/8.81 |
% 54.98/8.81 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.81 | (5) e13 = e10
% 54.98/8.81 |
% 54.98/8.81 | SIMP: (5) implies:
% 54.98/8.81 | (6) e13 = e10
% 54.98/8.81 |
% 54.98/8.81 | REDUCE: (3), (6) imply:
% 54.98/8.81 | (7) $false
% 54.98/8.81 |
% 54.98/8.81 | CLOSE: (7) is inconsistent.
% 54.98/8.81 |
% 54.98/8.81 End of proof
% 54.98/8.81
% 54.98/8.81 Sub-proof #77 shows that the following formulas are inconsistent:
% 54.98/8.81 ----------------------------------------------------------------
% 54.98/8.81 (1) all_26_26 = e11
% 54.98/8.81 (2) ~ (e12 = e11)
% 54.98/8.81 (3) all_26_31 = e13
% 54.98/8.81 (4) ~ (e13 = e12)
% 54.98/8.81 (5) all_26_30 = e13
% 54.98/8.82 (6) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_26
% 54.98/8.82 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.98/8.82 ~ (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 = e12 & ~
% 54.98/8.82 (all_26_19 = e13) & ~ (all_26_30 = e12)) | (all_26_20 = e11 &
% 54.98/8.82 all_26_31 = e12 & ~ (all_26_21 = e10) & ~ (all_26_30 = e12)) |
% 54.98/8.82 (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_31
% 54.98/8.82 = e12)) | (all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.98/8.82 ~ (all_26_31 = e12))
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | BETA: splitting (6) gives:
% 54.98/8.82 |
% 54.98/8.82 | Case 1:
% 54.98/8.82 | |
% 54.98/8.82 | | (7) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.98/8.82 | | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.98/8.82 | | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.98/8.82 | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.98/8.82 | |
% 54.98/8.82 | | BETA: splitting (7) gives:
% 54.98/8.82 | |
% 54.98/8.82 | | Case 1:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (8) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.98/8.82 | | | (all_26_26 = e12)
% 54.98/8.82 | | |
% 54.98/8.82 | | | ALPHA: (8) implies:
% 54.98/8.82 | | | (9) all_26_30 = e12
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #100.
% 54.98/8.82 | | |
% 54.98/8.82 | | Case 2:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (10) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.82 | | | (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 = e12 & ~
% 54.98/8.82 | | | (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.98/8.82 | | |
% 54.98/8.82 | | | BETA: splitting (10) gives:
% 54.98/8.82 | | |
% 54.98/8.82 | | | Case 1:
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | (11) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.82 | | | | (all_26_26 = e12)
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | ALPHA: (11) implies:
% 54.98/8.82 | | | | (12) all_26_31 = e12
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | REF_CLOSE: (3), (4), (12) are inconsistent by sub-proof #78.
% 54.98/8.82 | | | |
% 54.98/8.82 | | | Case 2:
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | (13) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.98/8.82 | | | | (all_26_30 = e12)
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | REF_CLOSE: (1), (2), (13) are inconsistent by sub-proof #98.
% 54.98/8.82 | | | |
% 54.98/8.82 | | | End of split
% 54.98/8.82 | | |
% 54.98/8.82 | | End of split
% 54.98/8.82 | |
% 54.98/8.82 | Case 2:
% 54.98/8.82 | |
% 54.98/8.82 | | (14) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.82 | | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.98/8.82 | | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.98/8.82 | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.98/8.82 | |
% 54.98/8.82 | | BETA: splitting (14) gives:
% 54.98/8.82 | |
% 54.98/8.82 | | Case 1:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (15) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.82 | | | (all_26_30 = e12)
% 54.98/8.82 | | |
% 54.98/8.82 | | | ALPHA: (15) implies:
% 54.98/8.82 | | | (16) all_26_31 = e12
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (3), (4), (16) are inconsistent by sub-proof #78.
% 54.98/8.82 | | |
% 54.98/8.82 | | Case 2:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (17) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.98/8.82 | | | (all_26_31 = e12)) | (all_26_21 = e10 & all_26_30 = e12 & ~
% 54.98/8.82 | | | (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (1), (2), (4), (5), (17) are inconsistent by sub-proof #95.
% 54.98/8.82 | | |
% 54.98/8.82 | | End of split
% 54.98/8.82 | |
% 54.98/8.82 | End of split
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #78 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_31 = e13
% 54.98/8.82 (2) all_26_31 = e12
% 54.98/8.82 (3) ~ (e13 = e12)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (4) e13 = e12
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (4) implies:
% 54.98/8.82 | (5) e13 = e12
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #79 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_17 = e12
% 54.98/8.82 (2) all_26_17 = e11
% 54.98/8.82 (3) ~ (e12 = e11)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (4) e12 = e11
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (4) implies:
% 54.98/8.82 | (5) e12 = e11
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #80 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_16 = e13
% 54.98/8.82 (2) all_26_16 = e12
% 54.98/8.82 (3) ~ (e13 = e12)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (4) e13 = e12
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (4) implies:
% 54.98/8.82 | (5) e13 = e12
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #81 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_22_3 = all_12_5
% 54.98/8.82 (2) all_22_3 = e10
% 54.98/8.82 (3) ~ (all_12_5 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (4) all_12_5 = e10
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (4) implies:
% 54.98/8.82 | (5) all_12_5 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #82 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 & all_26_11 = e10 & ( ~
% 54.98/8.82 (all_26_26 = e11) | all_26_22 = e13) & ( ~ (all_26_28 = e11) |
% 54.98/8.82 all_26_23 = e12) & ( ~ (all_26_31 = e11) | all_26_24 = e10)
% 54.98/8.82 (2) all_26_26 = e11
% 54.98/8.82 (3) all_26_22 = e10
% 54.98/8.82 (4) ~ (e13 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | ALPHA: (1) implies:
% 54.98/8.82 | (5) ~ (all_26_26 = e11) | all_26_22 = e13
% 54.98/8.82 |
% 54.98/8.82 | BETA: splitting (5) gives:
% 54.98/8.82 |
% 54.98/8.82 | Case 1:
% 54.98/8.82 | |
% 54.98/8.82 | | (6) ~ (all_26_26 = e11)
% 54.98/8.82 | |
% 54.98/8.82 | | REDUCE: (2), (6) imply:
% 54.98/8.82 | | (7) $false
% 54.98/8.82 | |
% 54.98/8.82 | | CLOSE: (7) is inconsistent.
% 54.98/8.82 | |
% 54.98/8.82 | Case 2:
% 54.98/8.82 | |
% 54.98/8.82 | | (8) all_26_22 = e13
% 54.98/8.82 | |
% 54.98/8.82 | | COMBINE_EQS: (3), (8) imply:
% 54.98/8.82 | | (9) e13 = e10
% 54.98/8.82 | |
% 54.98/8.82 | | SIMP: (9) implies:
% 54.98/8.82 | | (10) e13 = e10
% 54.98/8.82 | |
% 54.98/8.82 | | REDUCE: (4), (10) imply:
% 54.98/8.82 | | (11) $false
% 54.98/8.82 | |
% 54.98/8.82 | | CLOSE: (11) is inconsistent.
% 54.98/8.82 | |
% 54.98/8.82 | End of split
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #83 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30
% 54.98/8.82 = e10)
% 54.98/8.82 (2) all_26_28 = all_12_5
% 54.98/8.82 (3) ~ (all_12_5 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | ALPHA: (1) implies:
% 54.98/8.82 | (4) all_26_28 = e10
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.82 | (5) all_12_5 = e10
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (5) implies:
% 54.98/8.82 | (6) all_12_5 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (6) imply:
% 54.98/8.82 | (7) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (7) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #84 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_25 = e12
% 54.98/8.82 (2) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~ (all_26_27
% 54.98/8.82 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) &
% 54.98/8.82 ~ (all_26_29 = e11)) | (all_26_26 = e10 & all_26_27 = e12 & ~
% 54.98/8.82 (all_26_25 = e13) & ~ (all_26_28 = e10))
% 54.98/8.82 (3) all_26_26 = e11
% 54.98/8.82 (4) ~ (e12 = e10)
% 54.98/8.82 (5) ~ (e13 = e12)
% 54.98/8.82 (6) ~ (e11 = e10)
% 54.98/8.82 (7) all_26_30 = e13
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | BETA: splitting (2) gives:
% 54.98/8.82 |
% 54.98/8.82 | Case 1:
% 54.98/8.82 | |
% 54.98/8.82 | | (8) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~
% 54.98/8.82 | | (all_26_27 = e12)
% 54.98/8.82 | |
% 54.98/8.82 | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #87.
% 54.98/8.82 | |
% 54.98/8.82 | Case 2:
% 54.98/8.82 | |
% 54.98/8.82 | | (9) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 54.98/8.82 | | (all_26_29 = e11)) | (all_26_26 = e10 & all_26_27 = e12 & ~
% 54.98/8.82 | | (all_26_25 = e13) & ~ (all_26_28 = e10))
% 54.98/8.82 | |
% 54.98/8.82 | | BETA: splitting (9) gives:
% 54.98/8.82 | |
% 54.98/8.82 | | Case 1:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (10) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & ~
% 54.98/8.82 | | | (all_26_29 = e11)
% 54.98/8.82 | | |
% 54.98/8.82 | | | ALPHA: (10) implies:
% 54.98/8.82 | | | (11) all_26_30 = e10
% 54.98/8.82 | | | (12) all_26_25 = e13
% 54.98/8.82 | | |
% 54.98/8.82 | | | COMBINE_EQS: (1), (12) imply:
% 54.98/8.82 | | | (13) e13 = e12
% 54.98/8.82 | | |
% 54.98/8.82 | | | COMBINE_EQS: (7), (11) imply:
% 54.98/8.82 | | | (14) e13 = e10
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (4), (13), (14) are inconsistent by sub-proof #86.
% 54.98/8.82 | | |
% 54.98/8.82 | | Case 2:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (15) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & ~
% 54.98/8.82 | | | (all_26_28 = e10)
% 54.98/8.82 | | |
% 54.98/8.82 | | | ALPHA: (15) implies:
% 54.98/8.82 | | | (16) all_26_26 = e10
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (3), (6), (16) are inconsistent by sub-proof #85.
% 54.98/8.82 | | |
% 54.98/8.82 | | End of split
% 54.98/8.82 | |
% 54.98/8.82 | End of split
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #85 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_26 = e11
% 54.98/8.82 (2) all_26_26 = e10
% 54.98/8.82 (3) ~ (e11 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (4) e11 = e10
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (4) implies:
% 54.98/8.82 | (5) e11 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #86 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) e13 = e10
% 54.98/8.82 (2) e13 = e12
% 54.98/8.82 (3) ~ (e12 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (1) implies:
% 54.98/8.82 | (4) e13 = e10
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.82 | (5) e12 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #87 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~ (all_26_27
% 54.98/8.82 = e12)
% 54.98/8.82 (2) all_26_25 = e12
% 54.98/8.82 (3) ~ (e13 = e12)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | ALPHA: (1) implies:
% 54.98/8.82 | (4) all_26_25 = e13
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.82 | (5) e13 = e12
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #88 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) ~ (all_12_11 = e10)
% 54.98/8.82 (2) all_26_31 = e13
% 54.98/8.82 (3) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ (all_26_28
% 54.98/8.82 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) &
% 54.98/8.82 ~ (all_26_31 = e11)) | (all_26_24 = e10 & all_26_28 = e11 & ~
% 54.98/8.82 (all_26_23 = e12) & ~ (all_26_31 = e11))
% 54.98/8.82 (4) all_26_24 = all_12_11
% 54.98/8.82 (5) ~ (e13 = e11)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | BETA: splitting (3) gives:
% 54.98/8.82 |
% 54.98/8.82 | Case 1:
% 54.98/8.82 | |
% 54.98/8.82 | | (6) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~
% 54.98/8.82 | | (all_26_28 = e11)
% 54.98/8.82 | |
% 54.98/8.82 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #90.
% 54.98/8.82 | |
% 54.98/8.82 | Case 2:
% 54.98/8.82 | |
% 54.98/8.82 | | (7) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.98/8.82 | | (all_26_31 = e11)) | (all_26_24 = e10 & all_26_28 = e11 & ~
% 54.98/8.82 | | (all_26_23 = e12) & ~ (all_26_31 = e11))
% 54.98/8.82 | |
% 54.98/8.82 | | BETA: splitting (7) gives:
% 54.98/8.82 | |
% 54.98/8.82 | | Case 1:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (8) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~
% 54.98/8.82 | | | (all_26_31 = e11)
% 54.98/8.82 | | |
% 54.98/8.82 | | | ALPHA: (8) implies:
% 54.98/8.82 | | | (9) all_26_24 = e10
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #89.
% 54.98/8.82 | | |
% 54.98/8.82 | | Case 2:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (10) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~
% 54.98/8.82 | | | (all_26_31 = e11)
% 54.98/8.82 | | |
% 54.98/8.82 | | | ALPHA: (10) implies:
% 54.98/8.82 | | | (11) all_26_24 = e10
% 54.98/8.82 | | |
% 54.98/8.82 | | | REF_CLOSE: (1), (4), (11) are inconsistent by sub-proof #89.
% 54.98/8.82 | | |
% 54.98/8.82 | | End of split
% 54.98/8.82 | |
% 54.98/8.82 | End of split
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #89 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_24 = all_12_11
% 54.98/8.82 (2) all_26_24 = e10
% 54.98/8.82 (3) ~ (all_12_11 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (4) all_12_11 = e10
% 54.98/8.82 |
% 54.98/8.82 | SIMP: (4) implies:
% 54.98/8.82 | (5) all_12_11 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #90 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ (all_26_28
% 54.98/8.82 = e11)
% 54.98/8.82 (2) all_26_31 = e13
% 54.98/8.82 (3) ~ (e13 = e11)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | ALPHA: (1) implies:
% 54.98/8.82 | (4) all_26_31 = e11
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.82 | (5) e13 = e11
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #91 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_22_5 = e12
% 54.98/8.82 (2) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11
% 54.98/8.82 (3) ~ (e12 = e11)
% 54.98/8.82 (4) ~ (all_12_5 = e11)
% 54.98/8.82 (5) ~ (e11 = e10)
% 54.98/8.82 (6) all_22_10 = e10
% 54.98/8.82 (7) all_22_3 = all_12_5
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | BETA: splitting (2) gives:
% 54.98/8.82 |
% 54.98/8.82 | Case 1:
% 54.98/8.82 | |
% 54.98/8.82 | | (8) all_22_3 = e11
% 54.98/8.82 | |
% 54.98/8.82 | | COMBINE_EQS: (7), (8) imply:
% 54.98/8.82 | | (9) all_12_5 = e11
% 54.98/8.82 | |
% 54.98/8.82 | | SIMP: (9) implies:
% 54.98/8.82 | | (10) all_12_5 = e11
% 54.98/8.82 | |
% 54.98/8.82 | | REDUCE: (4), (10) imply:
% 54.98/8.82 | | (11) $false
% 54.98/8.82 | |
% 54.98/8.82 | | CLOSE: (11) is inconsistent.
% 54.98/8.82 | |
% 54.98/8.82 | Case 2:
% 54.98/8.82 | |
% 54.98/8.82 | | (12) all_22_5 = e11 | all_22_10 = e11
% 54.98/8.82 | |
% 54.98/8.82 | | BETA: splitting (12) gives:
% 54.98/8.82 | |
% 54.98/8.82 | | Case 1:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (13) all_22_5 = e11
% 54.98/8.82 | | |
% 54.98/8.82 | | | COMBINE_EQS: (1), (13) imply:
% 54.98/8.82 | | | (14) e12 = e11
% 54.98/8.82 | | |
% 54.98/8.82 | | | SIMP: (14) implies:
% 54.98/8.82 | | | (15) e12 = e11
% 54.98/8.82 | | |
% 54.98/8.82 | | | REDUCE: (3), (15) imply:
% 54.98/8.82 | | | (16) $false
% 54.98/8.82 | | |
% 54.98/8.82 | | | CLOSE: (16) is inconsistent.
% 54.98/8.82 | | |
% 54.98/8.82 | | Case 2:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (17) all_22_10 = e11
% 54.98/8.82 | | |
% 54.98/8.82 | | | COMBINE_EQS: (6), (17) imply:
% 54.98/8.82 | | | (18) e11 = e10
% 54.98/8.82 | | |
% 54.98/8.82 | | | REDUCE: (5), (18) imply:
% 54.98/8.82 | | | (19) $false
% 54.98/8.82 | | |
% 54.98/8.82 | | | CLOSE: (19) is inconsistent.
% 54.98/8.82 | | |
% 54.98/8.82 | | End of split
% 54.98/8.82 | |
% 54.98/8.82 | End of split
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #92 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_31 = e11
% 54.98/8.82 (2) all_26_31 = e13
% 54.98/8.82 (3) e13 = e10
% 54.98/8.82 (4) ~ (e11 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.82 | (5) e13 = e11
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (3), (5) imply:
% 54.98/8.82 | (6) e11 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (4), (6) imply:
% 54.98/8.82 | (7) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (7) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #93 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_26
% 54.98/8.82 = e11)
% 54.98/8.82 (2) all_26_22 = e10
% 54.98/8.82 (3) ~ (e13 = e10)
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | ALPHA: (1) implies:
% 54.98/8.82 | (4) all_26_22 = e13
% 54.98/8.82 |
% 54.98/8.82 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.82 | (5) e13 = e10
% 54.98/8.82 |
% 54.98/8.82 | REDUCE: (3), (5) imply:
% 54.98/8.82 | (6) $false
% 54.98/8.82 |
% 54.98/8.82 | CLOSE: (6) is inconsistent.
% 54.98/8.82 |
% 54.98/8.82 End of proof
% 54.98/8.82
% 54.98/8.82 Sub-proof #94 shows that the following formulas are inconsistent:
% 54.98/8.82 ----------------------------------------------------------------
% 54.98/8.82 (1) all_26_26 = e11
% 54.98/8.82 (2) all_26_28 = all_12_5
% 54.98/8.82 (3) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_28
% 54.98/8.82 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) &
% 54.98/8.82 ~ (all_26_28 = e13)) | (all_26_17 = e11 & all_26_28 = e13 & ~
% 54.98/8.82 (all_26_16 = e12) & ~ (all_26_30 = e13)) | (all_26_17 = e11 &
% 54.98/8.82 all_26_31 = e13 & ~ (all_26_18 = e10) & ~ (all_26_30 = e13)) |
% 54.98/8.82 (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_31
% 54.98/8.82 = e13)) | (all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 = e11) &
% 54.98/8.82 ~ (all_26_31 = e13)) | (all_26_19 = e13 & all_26_30 = e12 & ~
% 54.98/8.82 (all_26_20 = e11) & ~ (all_26_26 = e12)) | (all_26_19 = e13 &
% 54.98/8.82 all_26_31 = e12 & ~ (all_26_21 = e10) & ~ (all_26_26 = e12)) |
% 54.98/8.82 (all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30
% 54.98/8.82 = e12)) | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) &
% 54.98/8.82 ~ (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.98/8.82 (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.98/8.82 all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.98/8.82 (4) ~ (e12 = e11)
% 54.98/8.82 (5) all_26_31 = e13
% 54.98/8.82 (6) ~ (all_12_5 = e13)
% 54.98/8.82 (7) all_26_16 = e13
% 54.98/8.82 (8) ~ (e13 = e12)
% 54.98/8.82 (9) all_26_17 = e12
% 54.98/8.82 (10) all_26_30 = e13
% 54.98/8.82
% 54.98/8.82 Begin of proof
% 54.98/8.82 |
% 54.98/8.82 | BETA: splitting (3) gives:
% 54.98/8.82 |
% 54.98/8.82 | Case 1:
% 54.98/8.82 | |
% 54.98/8.82 | | (11) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.82 | | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 54.98/8.82 | | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.98/8.82 | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13)) |
% 54.98/8.82 | | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.82 | | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 54.98/8.82 | | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.98/8.82 | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13))
% 54.98/8.82 | |
% 54.98/8.82 | | BETA: splitting (11) gives:
% 54.98/8.82 | |
% 54.98/8.82 | | Case 1:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (12) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.82 | | | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~
% 54.98/8.82 | | | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 &
% 54.98/8.82 | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13))
% 54.98/8.82 | | |
% 54.98/8.82 | | | BETA: splitting (12) gives:
% 54.98/8.82 | | |
% 54.98/8.82 | | | Case 1:
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | (13) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.82 | | | | (all_26_28 = e13)
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | REF_CLOSE: (7), (8), (13) are inconsistent by sub-proof #104.
% 54.98/8.82 | | | |
% 54.98/8.82 | | | Case 2:
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | (14) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.82 | | | | (all_26_28 = e13)) | (all_26_17 = e11 & all_26_28 = e13 & ~
% 54.98/8.82 | | | | (all_26_16 = e12) & ~ (all_26_30 = e13))
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | BETA: splitting (14) gives:
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | Case 1:
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | (15) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.82 | | | | | (all_26_28 = e13)
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | REF_CLOSE: (7), (8), (15) are inconsistent by sub-proof #103.
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | Case 2:
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | (16) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.98/8.82 | | | | | (all_26_30 = e13)
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | ALPHA: (16) implies:
% 54.98/8.82 | | | | | (17) all_26_17 = e11
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | COMBINE_EQS: (9), (17) imply:
% 54.98/8.82 | | | | | (18) e12 = e11
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | REDUCE: (4), (18) imply:
% 54.98/8.82 | | | | | (19) $false
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | | CLOSE: (19) is inconsistent.
% 54.98/8.82 | | | | |
% 54.98/8.82 | | | | End of split
% 54.98/8.82 | | | |
% 54.98/8.82 | | | End of split
% 54.98/8.82 | | |
% 54.98/8.82 | | Case 2:
% 54.98/8.82 | | |
% 54.98/8.82 | | | (20) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.82 | | | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~
% 54.98/8.82 | | | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 &
% 54.98/8.82 | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13))
% 54.98/8.82 | | |
% 54.98/8.82 | | | BETA: splitting (20) gives:
% 54.98/8.82 | | |
% 54.98/8.82 | | | Case 1:
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | (21) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~
% 54.98/8.82 | | | | (all_26_30 = e13)
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | ALPHA: (21) implies:
% 54.98/8.82 | | | | (22) all_26_17 = e11
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | COMBINE_EQS: (9), (22) imply:
% 54.98/8.82 | | | | (23) e12 = e11
% 54.98/8.82 | | | |
% 54.98/8.82 | | | | REDUCE: (4), (23) imply:
% 54.98/8.82 | | | | (24) $false
% 54.98/8.82 | | | |
% 54.98/8.83 | | | | CLOSE: (24) is inconsistent.
% 54.98/8.83 | | | |
% 54.98/8.83 | | | Case 2:
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | (25) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.98/8.83 | | | | (all_26_31 = e13)) | (all_26_18 = e10 & all_26_30 = e13 & ~
% 54.98/8.83 | | | | (all_26_17 = e11) & ~ (all_26_31 = e13))
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | REF_CLOSE: (2), (5), (6), (25) are inconsistent by sub-proof #101.
% 54.98/8.83 | | | |
% 54.98/8.83 | | | End of split
% 54.98/8.83 | | |
% 54.98/8.83 | | End of split
% 54.98/8.83 | |
% 54.98/8.83 | Case 2:
% 54.98/8.83 | |
% 54.98/8.83 | | (26) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.98/8.83 | | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.98/8.83 | | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.98/8.83 | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12)) |
% 54.98/8.83 | | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.83 | | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.98/8.83 | | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.98/8.83 | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.98/8.83 | |
% 54.98/8.83 | | BETA: splitting (26) gives:
% 54.98/8.83 | |
% 54.98/8.83 | | Case 1:
% 54.98/8.83 | | |
% 54.98/8.83 | | | (27) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.98/8.83 | | | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~
% 54.98/8.83 | | | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 &
% 54.98/8.83 | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.98/8.83 | | |
% 54.98/8.83 | | | BETA: splitting (27) gives:
% 54.98/8.83 | | |
% 54.98/8.83 | | | Case 1:
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | (28) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.98/8.83 | | | | (all_26_26 = e12)
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | ALPHA: (28) implies:
% 54.98/8.83 | | | | (29) all_26_30 = e12
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | REF_CLOSE: (8), (10), (29) are inconsistent by sub-proof #100.
% 54.98/8.83 | | | |
% 54.98/8.83 | | | Case 2:
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | (30) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.83 | | | | (all_26_26 = e12)) | (all_26_20 = e11 & all_26_26 = e12 & ~
% 54.98/8.83 | | | | (all_26_19 = e13) & ~ (all_26_30 = e12))
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | BETA: splitting (30) gives:
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | Case 1:
% 54.98/8.83 | | | | |
% 54.98/8.83 | | | | | (31) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.83 | | | | | (all_26_26 = e12)
% 54.98/8.83 | | | | |
% 54.98/8.83 | | | | | REF_CLOSE: (5), (8), (31) are inconsistent by sub-proof #99.
% 54.98/8.83 | | | | |
% 54.98/8.83 | | | | Case 2:
% 54.98/8.83 | | | | |
% 54.98/8.83 | | | | | (32) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.98/8.83 | | | | | (all_26_30 = e12)
% 54.98/8.83 | | | | |
% 54.98/8.83 | | | | | REF_CLOSE: (1), (4), (32) are inconsistent by sub-proof #98.
% 54.98/8.83 | | | | |
% 54.98/8.83 | | | | End of split
% 54.98/8.83 | | | |
% 54.98/8.83 | | | End of split
% 54.98/8.83 | | |
% 54.98/8.83 | | Case 2:
% 54.98/8.83 | | |
% 54.98/8.83 | | | (33) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.83 | | | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~
% 54.98/8.83 | | | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 &
% 54.98/8.83 | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.98/8.83 | | |
% 54.98/8.83 | | | BETA: splitting (33) gives:
% 54.98/8.83 | | |
% 54.98/8.83 | | | Case 1:
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | (34) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~
% 54.98/8.83 | | | | (all_26_30 = e12)
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | REF_CLOSE: (5), (8), (34) are inconsistent by sub-proof #97.
% 54.98/8.83 | | | |
% 54.98/8.83 | | | Case 2:
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | (35) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.98/8.83 | | | | (all_26_31 = e12)) | (all_26_21 = e10 & all_26_30 = e12 & ~
% 54.98/8.83 | | | | (all_26_20 = e11) & ~ (all_26_31 = e12))
% 54.98/8.83 | | | |
% 54.98/8.83 | | | | REF_CLOSE: (1), (4), (8), (10), (35) are inconsistent by sub-proof #95.
% 54.98/8.83 | | | |
% 54.98/8.83 | | | End of split
% 54.98/8.83 | | |
% 54.98/8.83 | | End of split
% 54.98/8.83 | |
% 54.98/8.83 | End of split
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #95 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_26 = e11
% 54.98/8.83 (2) ~ (e12 = e11)
% 54.98/8.83 (3) ~ (e13 = e12)
% 54.98/8.83 (4) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_31
% 54.98/8.83 = e12)) | (all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 = e11) &
% 54.98/8.83 ~ (all_26_31 = e12))
% 54.98/8.83 (5) all_26_30 = e13
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | BETA: splitting (4) gives:
% 54.98/8.83 |
% 54.98/8.83 | Case 1:
% 54.98/8.83 | |
% 54.98/8.83 | | (6) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~
% 54.98/8.83 | | (all_26_31 = e12)
% 54.98/8.83 | |
% 54.98/8.83 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #96.
% 54.98/8.83 | |
% 54.98/8.83 | Case 2:
% 54.98/8.83 | |
% 54.98/8.83 | | (7) all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~
% 54.98/8.83 | | (all_26_31 = e12)
% 54.98/8.83 | |
% 54.98/8.83 | | ALPHA: (7) implies:
% 54.98/8.83 | | (8) all_26_30 = e12
% 54.98/8.83 | |
% 54.98/8.83 | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #100.
% 54.98/8.83 | |
% 54.98/8.83 | End of split
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #96 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_31
% 54.98/8.83 = e12)
% 54.98/8.83 (2) all_26_26 = e11
% 54.98/8.83 (3) ~ (e12 = e11)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | ALPHA: (1) implies:
% 54.98/8.83 | (4) all_26_26 = e12
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.83 | (5) e12 = e11
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #97 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~ (all_26_30
% 54.98/8.83 = e12)
% 54.98/8.83 (2) all_26_31 = e13
% 54.98/8.83 (3) ~ (e13 = e12)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | ALPHA: (1) implies:
% 54.98/8.83 | (4) all_26_31 = e12
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.83 | (5) e13 = e12
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #98 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30
% 54.98/8.83 = e12)
% 54.98/8.83 (2) all_26_26 = e11
% 54.98/8.83 (3) ~ (e12 = e11)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | ALPHA: (1) implies:
% 54.98/8.83 | (4) all_26_26 = e12
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.83 | (5) e12 = e11
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #99 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~ (all_26_26
% 54.98/8.83 = e12)
% 54.98/8.83 (2) all_26_31 = e13
% 54.98/8.83 (3) ~ (e13 = e12)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | ALPHA: (1) implies:
% 54.98/8.83 | (4) all_26_31 = e12
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.83 | (5) e13 = e12
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #100 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_30 = e13
% 54.98/8.83 (2) all_26_30 = e12
% 54.98/8.83 (3) ~ (e13 = e12)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.83 | (4) e13 = e12
% 54.98/8.83 |
% 54.98/8.83 | SIMP: (4) implies:
% 54.98/8.83 | (5) e13 = e12
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #101 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_31
% 54.98/8.83 = e13)) | (all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 = e11) &
% 54.98/8.83 ~ (all_26_31 = e13))
% 54.98/8.83 (2) all_26_28 = all_12_5
% 54.98/8.83 (3) ~ (all_12_5 = e13)
% 54.98/8.83 (4) all_26_31 = e13
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | BETA: splitting (1) gives:
% 54.98/8.83 |
% 54.98/8.83 | Case 1:
% 54.98/8.83 | |
% 54.98/8.83 | | (5) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~
% 54.98/8.83 | | (all_26_31 = e13)
% 54.98/8.83 | |
% 54.98/8.83 | | ALPHA: (5) implies:
% 54.98/8.83 | | (6) all_26_28 = e13
% 54.98/8.83 | |
% 54.98/8.83 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #102.
% 54.98/8.83 | |
% 54.98/8.83 | Case 2:
% 54.98/8.83 | |
% 54.98/8.83 | | (7) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~
% 54.98/8.83 | | (all_26_31 = e13)
% 54.98/8.83 | |
% 54.98/8.83 | | ALPHA: (7) implies:
% 54.98/8.83 | | (8) ~ (all_26_31 = e13)
% 54.98/8.83 | |
% 54.98/8.83 | | REDUCE: (4), (8) imply:
% 54.98/8.83 | | (9) $false
% 54.98/8.83 | |
% 54.98/8.83 | | CLOSE: (9) is inconsistent.
% 54.98/8.83 | |
% 54.98/8.83 | End of split
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #102 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_28 = all_12_5
% 54.98/8.83 (2) all_26_28 = e13
% 54.98/8.83 (3) ~ (all_12_5 = e13)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.83 | (4) all_12_5 = e13
% 54.98/8.83 |
% 54.98/8.83 | SIMP: (4) implies:
% 54.98/8.83 | (5) all_12_5 = e13
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #103 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~ (all_26_28
% 54.98/8.83 = e13)
% 54.98/8.83 (2) all_26_16 = e13
% 54.98/8.83 (3) ~ (e13 = e12)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | ALPHA: (1) implies:
% 54.98/8.83 | (4) all_26_16 = e12
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.83 | (5) e13 = e12
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #104 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_28
% 54.98/8.83 = e13)
% 54.98/8.83 (2) all_26_16 = e13
% 54.98/8.83 (3) ~ (e13 = e12)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | ALPHA: (1) implies:
% 54.98/8.83 | (4) all_26_16 = e12
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (2), (4) imply:
% 54.98/8.83 | (5) e13 = e12
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #105 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_22_2 = e13
% 54.98/8.83 (2) all_22_2 = e11
% 54.98/8.83 (3) ~ (e13 = e11)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.83 | (4) e13 = e11
% 54.98/8.83 |
% 54.98/8.83 | SIMP: (4) implies:
% 54.98/8.83 | (5) e13 = e11
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #106 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_22_6 = all_12_2
% 54.98/8.83 (2) all_22_6 = e13
% 54.98/8.83 (3) ~ (all_12_2 = e13)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.83 | (4) all_12_2 = e13
% 54.98/8.83 |
% 54.98/8.83 | SIMP: (4) implies:
% 54.98/8.83 | (5) all_12_2 = e13
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #107 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_22_1 = e13
% 54.98/8.83 (2) all_22_1 = e10
% 54.98/8.83 (3) ~ (e13 = e10)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.83 | (4) e13 = e10
% 54.98/8.83 |
% 54.98/8.83 | SIMP: (4) implies:
% 54.98/8.83 | (5) e13 = e10
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83
% 54.98/8.83 Sub-proof #108 shows that the following formulas are inconsistent:
% 54.98/8.83 ----------------------------------------------------------------
% 54.98/8.83 (1) all_22_0 = e11
% 54.98/8.83 (2) all_22_0 = e10
% 54.98/8.83 (3) ~ (e11 = e10)
% 54.98/8.83
% 54.98/8.83 Begin of proof
% 54.98/8.83 |
% 54.98/8.83 | COMBINE_EQS: (1), (2) imply:
% 54.98/8.83 | (4) e11 = e10
% 54.98/8.83 |
% 54.98/8.83 | SIMP: (4) implies:
% 54.98/8.83 | (5) e11 = e10
% 54.98/8.83 |
% 54.98/8.83 | REDUCE: (3), (5) imply:
% 54.98/8.83 | (6) $false
% 54.98/8.83 |
% 54.98/8.83 | CLOSE: (6) is inconsistent.
% 54.98/8.83 |
% 54.98/8.83 End of proof
% 54.98/8.83 % SZS output end Proof for theBenchmark
% 54.98/8.83
% 54.98/8.83 8224ms
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